Skill | KeyStage | Name | Direct Link | YouTube URL | Legacy Id (pre Sept22) |
---|---|---|---|---|---|

1 | Secondary, Primary | Exam Practice: Numbers up to 100 | drfrostmaths.com/explorer.php?ssid=4155 | E1 | |

1a | Secondary, Primary | Read numbers up to 20 in words and write in numerals. | drfrostmaths.com/explorer.php?ssid=4544 | ||

1b | Secondary, Primary | Read numbers up to 20 in numerals and write in words. | drfrostmaths.com/explorer.php?ssid=4545 | ||

1c | Primary, Secondary | Count up to 20 objects. | drfrostmaths.com/explorer.php?ssid=4546 | ||

1d | Primary, Secondary | Count to 20 using numerals. | drfrostmaths.com/explorer.php?ssid=4547 | ||

1e | Primary, Secondary | Read numbers up to 100 in words and write in numerals. | drfrostmaths.com/explorer.php?ssid=4548 | ||

1f | Primary, Secondary | Read numbers up to 100 in numerals and write in words. | drfrostmaths.com/explorer.php?ssid=4549 | ||

1g | Primary, Secondary | Count up to 100 using numerals. | drfrostmaths.com/explorer.php?ssid=4550 | ||

2 | Exam Practice: Compare and order (positive) integers using <, > and =. | drfrostmaths.com/explorer.php?ssid=548 | E2 | ||

2 | Primary, Secondary | Exam Practice: Increasing and decreasing by 1 | drfrostmaths.com/explorer.php?ssid=4156 | E2 | |

2a | Primary, Secondary | Increase and decrease numbers up to 20 by 1. | drfrostmaths.com/explorer.php?ssid=4551 | ||

2b | Secondary, Primary | Increase and decrease numbers up to 100 by 1. | drfrostmaths.com/explorer.php?ssid=4552 | ||

3 | Primary, Secondary | Exam Practice: Comparing amounts using words | drfrostmaths.com/explorer.php?ssid=4157 | E3 | |

3a | Primary, Secondary | Compare up to 20 objects using words. | drfrostmaths.com/explorer.php?ssid=4553 | ||

3b | Secondary, Primary | Compare numbers to 100 using words. | drfrostmaths.com/explorer.php?ssid=4554 | ||

4 | Primary | Exam Practice: Counting by skipping in 2s, 3s, 5s or 10s | drfrostmaths.com/explorer.php?ssid=4158 | E4 | |

4a | Primary | Count by skipping in 2s starting from 0. | drfrostmaths.com/explorer.php?ssid=4555 | ||

4b | Primary | Count by skipping in 5s starting from 0. | drfrostmaths.com/explorer.php?ssid=4556 | ||

4c | Primary | Count by skipping in 10s starting from 0. | drfrostmaths.com/explorer.php?ssid=4557 | ||

4d | Primary | Count by skipping in 3s starting from 0. | drfrostmaths.com/explorer.php?ssid=4558 | ||

4e | Primary | Count by skipping in 2s starting anywhere. | drfrostmaths.com/explorer.php?ssid=4559 | ||

4f | Primary | Count by skipping in 5s starting anywhere. | drfrostmaths.com/explorer.php?ssid=4560 | ||

4g | Primary | Count by skipping in 10s starting anywhere. | drfrostmaths.com/explorer.php?ssid=4561 | ||

4h | Primary | Count by skipping in 3s starting anywhere. | drfrostmaths.com/explorer.php?ssid=4562 | ||

5 | Primary, Secondary | Exam Practice: Odd and even numbers | drfrostmaths.com/explorer.php?ssid=547 | E5 | |

5a | Primary, Secondary | Identify odd and even numbers. | drfrostmaths.com/explorer.php?ssid=949 | https://www.youtube.com/embed/g0RQgowIuMk | K21 |

5b | Primary, Secondary | Identify the next or previous odd or even number. | drfrostmaths.com/explorer.php?ssid=4563 | ||

6 | Secondary, Primary | Exam Practice: Understanding (positive) whole numbers on a number line | drfrostmaths.com/explorer.php?ssid=546 | E6 | |

6a | Secondary, Primary | Count to 20 using a number line. | drfrostmaths.com/explorer.php?ssid=4564 | ||

6b | Secondary, Primary | Estimate the value indicated on a number line (up to 20). | drfrostmaths.com/explorer.php?ssid=4565 | ||

6c | Secondary, Primary | Count up to 100 using a number line. | drfrostmaths.com/explorer.php?ssid=4566 | ||

6d | Secondary, Primary | Estimate the value indicated on a number line (up to 100). | drfrostmaths.com/explorer.php?ssid=4567 | ||

7 | Primary, Secondary | Exam Practice: Pictorial addition and subtraction (numbers up to 20) | drfrostmaths.com/explorer.php?ssid=552 | E7 | |

7a | Secondary, Primary | Show more/less with a pictorial representation. | drfrostmaths.com/explorer.php?ssid=4568 | ||

7b | Secondary, Primary | Describe how many more/less from pictorial representations. | drfrostmaths.com/explorer.php?ssid=4569 | ||

7c | Secondary, Primary | Write an addition or subtraction problem from a pictorial representation. | drfrostmaths.com/explorer.php?ssid=4570 | ||

7d | Secondary, Primary | Use a pictorial representation to answer an addition or subtraction problem. | drfrostmaths.com/explorer.php?ssid=4571 | ||

8 | Secondary, Primary | Exam Practice: Number bonds for numbers up to 20 | drfrostmaths.com/explorer.php?ssid=4159 | E8 | |

8a | Primary, Secondary | Use number bonds to 10. | drfrostmaths.com/explorer.php?ssid=2322 | ||

8b | Secondary, Primary | Use number bonds to 20. | drfrostmaths.com/explorer.php?ssid=754 | K7 | |

8c | Secondary, Primary | Use number bonds to numbers between 10 and 20. | drfrostmaths.com/explorer.php?ssid=2323 | ||

9 | Primary, Secondary | Exam Practice: Addition using numbers up to 20 | drfrostmaths.com/explorer.php?ssid=4160 | E9 | |

9a | Secondary, Primary | Add single-digit numbers to give an answer up to 20. | drfrostmaths.com/explorer.php?ssid=4572 | ||

9b | Secondary, Primary | Understand zero as the additive identity. | drfrostmaths.com/explorer.php?ssid=4573 | ||

9c | Secondary, Primary | Add single-digit and double-digit numbers to give an answer up to 20. | drfrostmaths.com/explorer.php?ssid=4574 | ||

9d | Secondary, Primary | Solve missing number addition problems with numbers up to 20. | drfrostmaths.com/explorer.php?ssid=4575 | ||

10 | Secondary, Primary | Exam Practice: Subtraction using numbers up to 20 | drfrostmaths.com/explorer.php?ssid=4161 | E10 | |

10a | Primary, Secondary | Subtract single-digit numbers to give an answer up to 20. | drfrostmaths.com/explorer.php?ssid=4576 | ||

10b | Primary, Secondary | Subtract single-digit and double-digit numbers to give an answer up to 20. | drfrostmaths.com/explorer.php?ssid=4577 | ||

10c | Secondary, Primary | Solve missing number subtraction problems with numbers up to 20. | drfrostmaths.com/explorer.php?ssid=4578 | ||

11 | Exam Practice: Solve missing number problems by doing the inverse. | drfrostmaths.com/explorer.php?ssid=554 | E11 | ||

11 | Primary, Secondary | Exam Practice: Multiplication as arrays and repeated addition | drfrostmaths.com/explorer.php?ssid=4162 | E11 | |

11a | Secondary, Primary | Use an array to give the value of a repeated addition. | drfrostmaths.com/explorer.php?ssid=4579 | ||

11b | Secondary, Primary | Use an array to give the value of a 'lots of' statement. | drfrostmaths.com/explorer.php?ssid=4580 | ||

12 | Exam Practice: Using number facts to solve connected calculations. | drfrostmaths.com/explorer.php?ssid=551 | E12 | ||

12 | Secondary, Primary | Exam Practice: Division as grouping and sharing | drfrostmaths.com/explorer.php?ssid=4163 | E12 | |

12a | Secondary, Primary | Split objects or an array by sharing equally. | drfrostmaths.com/explorer.php?ssid=4581 | ||

12b | Secondary, Primary | Split objects or an array into equal sized groups. | drfrostmaths.com/explorer.php?ssid=4582 | ||

13 | Secondary, Primary | Exam Practice: Understanding directional language | drfrostmaths.com/explorer.php?ssid=4164 | E13 | |

13a | Secondary, Primary | Use positional language to describe object placement. | drfrostmaths.com/explorer.php?ssid=4583 | ||

13b | Secondary, Primary | Use left/right/up/down to describe directions. | drfrostmaths.com/explorer.php?ssid=4584 | ||

13c | Secondary, Primary | Use the language of rotation. | drfrostmaths.com/explorer.php?ssid=4585 | ||

13d | Secondary, Primary | Understand compass directions. | drfrostmaths.com/explorer.php?ssid=1443 | K323 | |

14 | Exam Practice: Solve multiplication, addition and subtraction problems involving missing digits. | drfrostmaths.com/explorer.php?ssid=330 | E14 | ||

14 | Secondary, Primary | Exam Practice: Reading integer values off a scale | drfrostmaths.com/explorer.php?ssid=412 | https://www.youtube.com/embed/c7TyxqdI2aQ | E14 |

14a | Secondary, Primary | Read positive values off a scale with gaps of 1, starting at 0. | drfrostmaths.com/explorer.php?ssid=2320 | ||

14b | Secondary, Primary | Read positive values off a scale with gaps of 1, starting at at any number. | drfrostmaths.com/explorer.php?ssid=4586 | ||

14c | Primary, Secondary | Read positive values off a scale with gaps of 2, 3, 5 or 10, starting at 0. | drfrostmaths.com/explorer.php?ssid=2324 | ||

14d | Secondary, Primary | Read positive values off a scale with gaps of 2, 3, 5 or 10, starting at any number. | drfrostmaths.com/explorer.php?ssid=991 | https://www.youtube.com/embed/1dNiD3Sv_Nc | K40 |

15 | Primary, Secondary | Exam Practice: Measuring using scales of lengths, mass and capacity | drfrostmaths.com/explorer.php?ssid=538 | E15 | |

15a | Secondary, Primary | Order three objects by length by use of one measure as a reference unit. | drfrostmaths.com/explorer.php?ssid=4587 | ||

15b | Secondary, Primary | Measure a line correct to the nearest millimetre. | drfrostmaths.com/explorer.php?ssid=1405 | K43 | |

15c | Secondary, Primary | Draw a line correct to the nearest millimetre. | drfrostmaths.com/explorer.php?ssid=1417 | K44 | |

15d | Primary, Secondary | Measure a line correct to the nearest quarter inch. | drfrostmaths.com/explorer.php?ssid=4588 | ||

15e | Primary, Secondary | Draw a line correct to the nearest quarter inch. | drfrostmaths.com/explorer.php?ssid=4589 | ||

15f | Secondary, Primary | Read the measurement for a capacity. | drfrostmaths.com/explorer.php?ssid=4590 | ||

15g | Secondary, Primary | Read a measurement for mass. | drfrostmaths.com/explorer.php?ssid=4591 | ||

15h | Secondary, Primary | Read a positive temperature off a thermometer. | drfrostmaths.com/explorer.php?ssid=4592 | ||

15i | Primary, Secondary | Read measurements of other scales, e.g. speed or pressure. | drfrostmaths.com/explorer.php?ssid=4593 | ||

15j | Primary, Secondary | Compare and order measurements of capacity read from scales. | drfrostmaths.com/explorer.php?ssid=4594 | ||

16 | Primary, Secondary | Exam Practice: Describing time | drfrostmaths.com/explorer.php?ssid=4165 | E16 | |

16a | Secondary, Primary | Understand sequencing of events. | drfrostmaths.com/explorer.php?ssid=4595 | ||

16b | Secondary, Primary | Know and use days of the week. | drfrostmaths.com/explorer.php?ssid=4596 | ||

16c | Secondary, Primary | Know and use months of the year. | drfrostmaths.com/explorer.php?ssid=4597 | ||

16d | Secondary, Primary | Know and use basic equivalences of time. | drfrostmaths.com/explorer.php?ssid=4598 | ||

17 | Secondary, Primary | Exam Practice: Understanding place value involving tens and ones | drfrostmaths.com/explorer.php?ssid=4166 | E17 | |

17a | Secondary, Primary | Partition a number into tens and ones. | drfrostmaths.com/explorer.php?ssid=4599 | ||

17b | Secondary, Primary | Describe the place value of a digit of a number up to 100. | drfrostmaths.com/explorer.php?ssid=4600 | ||

17c | Secondary, Primary | Compare numbers up to 100 using inequalities. | drfrostmaths.com/explorer.php?ssid=4601 | ||

17d | Secondary, Primary | Order numbers up to 100. | drfrostmaths.com/explorer.php?ssid=4602 | ||

18 | Secondary, Primary | Exam Practice: Number bonds for numbers up to 100 | drfrostmaths.com/explorer.php?ssid=4167 | E18 | |

18a | Secondary, Primary | Use number bonds to 100 using multiples of 10 only. | drfrostmaths.com/explorer.php?ssid=4603 | ||

18b | Secondary, Primary | Use number bonds to 100 from any number. | drfrostmaths.com/explorer.php?ssid=4604 | ||

18c | Secondary, Primary | Use number bonds to numbers between 10 and 100, given a multiple of 10. | drfrostmaths.com/explorer.php?ssid=4605 | ||

18d | Secondary, Primary | Use number bonds to numbers between 10 and 100, given any number. | drfrostmaths.com/explorer.php?ssid=4606 | ||

19 | Primary, Secondary | Exam Practice: Adding numbers up to 2 digits with answers up to 100 | drfrostmaths.com/explorer.php?ssid=4168 | E19 | |

19a | Primary, Secondary | Add numbers up to 100 using pictorial representations. | drfrostmaths.com/explorer.php?ssid=4607 | ||

19b | Primary, Secondary | Add single-digit and double-digit numbers to give an answer up to 100 using mental methods. | drfrostmaths.com/explorer.php?ssid=4608 | ||

19c | Primary, Secondary | Add double-digit numbers to give an answer up to 100 using mental methods. | drfrostmaths.com/explorer.php?ssid=4609 | ||

19d | Primary, Secondary | Solve missing number addition problems with numbers up to 100. | drfrostmaths.com/explorer.php?ssid=4610 | ||

19e | Primary, Secondary | Solve worded problems requiring addition of numbers to 100. | drfrostmaths.com/explorer.php?ssid=4611 | ||

20 | Secondary, Primary | Exam Practice: Subtracting numbers up to 2 digits | drfrostmaths.com/explorer.php?ssid=4169 | E20 | |

20a | Primary, Secondary | Subtract numbers up to 100 using pictorial representations. | drfrostmaths.com/explorer.php?ssid=4612 | ||

20b | Primary, Secondary | Subtract single-digit and double-digit numbers to give an answer up to 100 using mental methods. | drfrostmaths.com/explorer.php?ssid=4613 | ||

20c | Secondary, Primary | Subtract double-digit numbers to give an answer up to 100 using mental methods. | drfrostmaths.com/explorer.php?ssid=4614 | ||

20d | Secondary, Primary | Solve missing number subtraction problems with numbers up to 100. | drfrostmaths.com/explorer.php?ssid=4615 | ||

20e | Secondary, Primary | Solve worded problems requiring subtraction of numbers to 100. | drfrostmaths.com/explorer.php?ssid=4616 | ||

21 | Secondary, Primary | Exam Practice: Properties of addition and subtraction | drfrostmaths.com/explorer.php?ssid=4170 | E21 | |

21a | Secondary, Primary | Fact families with addition and subtraction. | drfrostmaths.com/explorer.php?ssid=1721 | ||

21b | Secondary, Primary | Understand addition and subtraction as inverses. | drfrostmaths.com/explorer.php?ssid=4617 | ||

21c | Secondary, Primary | Understand that addition is commutative and subtraction is not. | drfrostmaths.com/explorer.php?ssid=4618 | ||

21d | Secondary, Primary | Use commutativity and partitioning to complete mental addition and subtraction problems to 100. | drfrostmaths.com/explorer.php?ssid=4619 | ||

22 | Primary, Secondary | Exam Practice: Make up monetary values with coins and notes, with no decimal notation (GBP/Euro/Dollars) | drfrostmaths.com/explorer.php?ssid=549 | E22 | |

22a | Secondary, Primary | Use coins and notes to make up values in British pounds. | drfrostmaths.com/explorer.php?ssid=4620 | ||

22b | Secondary, Primary | Use coins and notes to make up values in British pence. | drfrostmaths.com/explorer.php?ssid=4621 | ||

22c | Primary, Secondary | Use coins and notes to make up values in Euros. | drfrostmaths.com/explorer.php?ssid=4622 | ||

22d | Primary, Secondary | Use coins and notes to make up values in cents (Euros). | drfrostmaths.com/explorer.php?ssid=4623 | ||

22e | Primary, Secondary | Use coins and notes to make up values in US Dollars. | drfrostmaths.com/explorer.php?ssid=4624 | ||

22f | Secondary, Primary | Use coins and notes to make up values in cents (US). | drfrostmaths.com/explorer.php?ssid=4625 | ||

23 | Primary, Secondary | Exam Practice: Multiplication and division notation | drfrostmaths.com/explorer.php?ssid=4171 | E23 | |

23a | Primary, Secondary | Write a multiplication from a given array. | drfrostmaths.com/explorer.php?ssid=4626 | ||

23b | Secondary, Primary | Write a division from a given array. | drfrostmaths.com/explorer.php?ssid=4627 | ||

24 | Secondary, Primary | Exam Practice: The 2, 5 and 10 times tables | drfrostmaths.com/explorer.php?ssid=4172 | E24 | |

24a | Secondary, Primary | Know the 2 times table. | drfrostmaths.com/explorer.php?ssid=4628 | ||

24b | Secondary, Primary | Know the 5 times table. | drfrostmaths.com/explorer.php?ssid=4629 | ||

24c | Secondary, Primary | Know the 10 times table. | drfrostmaths.com/explorer.php?ssid=4630 | ||

25 | Primary, Secondary | Exam Practice: Introduction to 2D shapes | drfrostmaths.com/explorer.php?ssid=4173 | E25 | |

25a | Secondary, Primary | Identify rectangles, squares, triangles and circles. | drfrostmaths.com/explorer.php?ssid=4631 | ||

25b | Secondary, Primary | Know the names of polygons. | drfrostmaths.com/explorer.php?ssid=992 | https://www.youtube.com/embed/PKPLJA3SlG0 | K93 |

25c | Secondary, Primary | Identify vertical and horizontal lines of symmetry. | drfrostmaths.com/explorer.php?ssid=4632 | ||

25d | Secondary, Primary | Compose simple shapes to form larger shapes. | drfrostmaths.com/explorer.php?ssid=4633 | ||

26 | Secondary, Primary | Exam Practice: Recognising and using halves, quarters and thirds | drfrostmaths.com/explorer.php?ssid=4174 | E26 | |

26a | Secondary, Primary | Identify halves, quarters and thirds from bar models. | drfrostmaths.com/explorer.php?ssid=4634 | ||

26b | Primary, Secondary | Identify a half of a shape or set of objects. | drfrostmaths.com/explorer.php?ssid=4635 | ||

26c | Primary, Secondary | Identify a quarter of a shape or set of objects. | drfrostmaths.com/explorer.php?ssid=4636 | ||

26d | Primary, Secondary | Identify a third of a shape or set of objects. | drfrostmaths.com/explorer.php?ssid=4637 | ||

26e | Primary, Secondary | Count in steps of half, quarter or third. | drfrostmaths.com/explorer.php?ssid=4638 | ||

26f | Primary, Secondary | Read a half, quarter or third off a number line. | drfrostmaths.com/explorer.php?ssid=4639 | ||

26g | Primary, Secondary | Place a half, quarter or third on a number line. | drfrostmaths.com/explorer.php?ssid=4640 | ||

27 | Primary, Secondary | Exam Practice: Reading values from a table of discrete or categorical data | drfrostmaths.com/explorer.php?ssid=408 | E27 | |

27a | Primary, Secondary | Read a frequency from a table of discrete or categorical data. | drfrostmaths.com/explorer.php?ssid=2343 | ||

27b | Primary, Secondary | Determine the value with the lowest or highest frequency in a table of data. | drfrostmaths.com/explorer.php?ssid=4641 | ||

27c | Primary, Secondary | Calculate the total frequency from a table of data. | drfrostmaths.com/explorer.php?ssid=4642 | ||

27d | Primary, Secondary | Calculate a difference from a table of data. | drfrostmaths.com/explorer.php?ssid=4643 | ||

27e | Primary, Secondary | Calculate a missing value from a table of data. | drfrostmaths.com/explorer.php?ssid=4644 | ||

28 | Exam Practice: Find what fraction of a shape is shaded. | drfrostmaths.com/explorer.php?ssid=128 | E28 | ||

28 | Secondary, Primary | Exam Practice: Tally charts (discrete and categorical data) | drfrostmaths.com/explorer.php?ssid=4175 | E28 | |

28a | Secondary, Primary | Interpret a discrete or categorical tally chart to give a frequency table. | drfrostmaths.com/explorer.php?ssid=989 | https://www.youtube.com/embed/y-7f6Jnz14g | K80 |

28a | DELETED Find what fraction of a shape is shaded. | drfrostmaths.com/explorer.php?ssid=1333 | https://www.youtube.com/embed/UCP7i4BVFoA | K45 | |

28b | Secondary, Primary | Complete a discrete or categorical tally chart from given data, including frequencies. | drfrostmaths.com/explorer.php?ssid=4645 | ||

28c | Secondary, Primary | Interpret a grouped tally chart to give a frequency table. | drfrostmaths.com/explorer.php?ssid=4646 | ||

28d | Secondary, Primary | Complete a grouped tally chart from given data, including frequencies. | drfrostmaths.com/explorer.php?ssid=4647 | ||

29 | Exam Practice: Understand equivalent fractions. | drfrostmaths.com/explorer.php?ssid=22 | https://www.youtube.com/embed/VZLAUzMqFiA | E29 | |

29 | Primary, Secondary | Exam Practice: Block diagrams | drfrostmaths.com/explorer.php?ssid=4176 | E29 | |

29a | Primary, Secondary | Read a frequency from a block diagram. | drfrostmaths.com/explorer.php?ssid=4648 | ||

29b | Primary, Secondary | Complete a block diagram. | drfrostmaths.com/explorer.php?ssid=4649 | ||

29c | Secondary, Primary | Determine the value with the lowest or highest frequency in a block diagram. | drfrostmaths.com/explorer.php?ssid=4650 | ||

29d | DELETED Compare two fractions. | drfrostmaths.com/explorer.php?ssid=966 | https://www.youtube.com/embed/PL7XoaqbylU | K49 | |

29d | Primary, Secondary | Calculate the total frequency from a block diagram. | drfrostmaths.com/explorer.php?ssid=4651 | ||

29e | Primary, Secondary | Calculate a difference from a block diagram. | drfrostmaths.com/explorer.php?ssid=4652 | ||

30 | Primary, Secondary | Exam Practice: Line and dot plots | drfrostmaths.com/explorer.php?ssid=4177 | E30 | |

30a | Primary, Secondary | Read a frequency from a line or dot plot. | drfrostmaths.com/explorer.php?ssid=4653 | ||

30b | Primary, Secondary | Complete a line or dot plot. | drfrostmaths.com/explorer.php?ssid=4654 | ||

30c | Primary, Secondary | Determine the value with the lowest or highest frequency in a line or dot plot. | drfrostmaths.com/explorer.php?ssid=4655 | ||

30d | Primary, Secondary | Calculate the total frequency from a line or dot plot. | drfrostmaths.com/explorer.php?ssid=4656 | ||

30e | Primary, Secondary | Calculate a difference from a line or dot plot. | drfrostmaths.com/explorer.php?ssid=4657 | ||

31 | Secondary, Primary | Exam Practice: Pictograms | drfrostmaths.com/explorer.php?ssid=409 | https://www.youtube.com/embed/DL80AEcRgL0 | E31 |

31a | Primary, Secondary | Read a frequency from a pictogram. | drfrostmaths.com/explorer.php?ssid=990 | https://www.youtube.com/embed/iqRNSCfZIzs | K81 |

31b | Primary, Secondary | Determine the value with the lowest or highest frequency in a pictogram. | drfrostmaths.com/explorer.php?ssid=2227 | ||

31c | Primary, Secondary | Complete a pictogram from a given frequency and key. | drfrostmaths.com/explorer.php?ssid=2228 | ||

31d | Primary, Secondary | Calculate the total frequency from a pictogram. | drfrostmaths.com/explorer.php?ssid=2273 | ||

31e | Primary, Secondary | Complete a pictogram from a given total and key. | drfrostmaths.com/explorer.php?ssid=2308 | ||

31f | Secondary, Primary | Calculate a difference from a pictogram. | drfrostmaths.com/explorer.php?ssid=2274 | ||

31g | Primary, Secondary | Determine the key for a pictogram given a frequency, difference or total. | drfrostmaths.com/explorer.php?ssid=2283 | ||

31h | Primary, Secondary | Complete a pictogram where key must first be determined given a frequency or difference. | drfrostmaths.com/explorer.php?ssid=2309 | ||

32 | Secondary, Primary | Exam Practice: Introduction to 3D shapes | drfrostmaths.com/explorer.php?ssid=4178 | E32 | |

32a | Primary, Secondary | Recognise cubes, cuboids, pyramids, spheres, and cones. | drfrostmaths.com/explorer.php?ssid=4658 | ||

32b | Primary, Secondary | Count the number of faces, edges or vertices of cubes, cuboids, pyramids, spheres, and cones. | drfrostmaths.com/explorer.php?ssid=4659 | ||

33 | Secondary, Primary | Exam Practice: Tell the time using an analogue clock | drfrostmaths.com/explorer.php?ssid=420 | E33 | |

33a | Primary, Secondary | Determine times at o'clock and half past from an analogue clock. | drfrostmaths.com/explorer.php?ssid=4660 | ||

33b | Primary, Secondary | Determine times at 15 minute intervals using an analogue clock. | drfrostmaths.com/explorer.php?ssid=4661 | ||

33c | Primary, Secondary | Determine times at 5 minute intervals using an analogue clock. | drfrostmaths.com/explorer.php?ssid=2329 | ||

33d | Primary, Secondary | Tell the time from an analogue clock to the nearest minute. | drfrostmaths.com/explorer.php?ssid=1269 | https://www.youtube.com/embed/0aMOl_75FFc | K68 |

33e | Secondary, Primary | Determine the difference between two times on an analogue clock. | drfrostmaths.com/explorer.php?ssid=4662 | ||

34 | Primary, Secondary | Exam Practice: Numbers above 100 | drfrostmaths.com/explorer.php?ssid=403 | https://www.youtube.com/embed/SJGN3lGo_q8 | E34 |

34a | Primary, Secondary | Read numbers up to 200 in words and writing in numerals. | drfrostmaths.com/explorer.php?ssid=4663 | ||

34b | Primary, Secondary | Read numbers up to 200 in numerals and writing in words. | drfrostmaths.com/explorer.php?ssid=4664 | ||

34c | Secondary, Primary | Count with numbers up to 200. | drfrostmaths.com/explorer.php?ssid=4665 | ||

34d | Secondary, Primary | Use number bonds to 200. | drfrostmaths.com/explorer.php?ssid=4666 | ||

34e | Secondary, Primary | Estimate the value indicated on a number line (up to 200). | drfrostmaths.com/explorer.php?ssid=4667 | ||

34f | Primary, Secondary | Read numbers up to 1000 in words and writing in numerals. | drfrostmaths.com/explorer.php?ssid=1300 | https://www.youtube.com/embed/hVgSppOl2ck | K3 |

34g | Secondary, Primary | Read numbers up to 1000 in numerals and writing in words. | drfrostmaths.com/explorer.php?ssid=1301 | https://www.youtube.com/embed/HdReM16hRrU | K4 |

34h | Primary, Secondary | Count with numbers up to 1000. | drfrostmaths.com/explorer.php?ssid=4668 | ||

34i | Primary, Secondary | Use number bonds to 1000. | drfrostmaths.com/explorer.php?ssid=4669 | ||

34j | Secondary, Primary | Estimate the value indicated on a number line (up to 1000). | drfrostmaths.com/explorer.php?ssid=4670 | ||

34k | Secondary, Primary | Read numbers up to 1 million in words and writing in numerals. | drfrostmaths.com/explorer.php?ssid=1431 | https://www.youtube.com/embed/WZ2X8isB_Kk | K5 |

34l | Secondary, Primary | Read numbers up to 1 million in numerals and writing in words. | drfrostmaths.com/explorer.php?ssid=1432 | https://www.youtube.com/embed/u68x7XFGJH0 | K6 |

34m | Secondary, Primary | Count with numbers up to 1 million. | drfrostmaths.com/explorer.php?ssid=4671 | ||

34n | Secondary, Primary | Use number bonds to 1 million. | drfrostmaths.com/explorer.php?ssid=4672 | ||

34o | Primary, Secondary | Estimate the value indicated on a number line (up to 1 million). | drfrostmaths.com/explorer.php?ssid=4673 | ||

34p | Primary, Secondary | Read numbers over 1 million in words and writing in numerals. | drfrostmaths.com/explorer.php?ssid=4674 | ||

34q | Primary, Secondary | Read numbers over 1 million in numerals and writing in words. | drfrostmaths.com/explorer.php?ssid=4675 | ||

34r | Primary, Secondary | Count with numbers over 1 million. | drfrostmaths.com/explorer.php?ssid=4676 | ||

35 | Primary, Secondary | Exam Practice: Place value above the 100s digit | drfrostmaths.com/explorer.php?ssid=4179 | E35 | |

35a | Primary, Secondary | Partition a number up to 200 into ones, tens and hundreds. | drfrostmaths.com/explorer.php?ssid=4677 | ||

35b | Secondary, Primary | Describe the place value of a digit of a number up to 200. | drfrostmaths.com/explorer.php?ssid=4678 | ||

35c | Secondary, Primary | Increase and decrease numbers up to 200 by 1 or 10. | drfrostmaths.com/explorer.php?ssid=4679 | ||

35d | Secondary, Primary | Partition a number up to 1000 into ones, tens and hundreds. | drfrostmaths.com/explorer.php?ssid=1633 | ||

35e | Secondary, Primary | Describe the place value of a digit of a number up to 1000. | drfrostmaths.com/explorer.php?ssid=4680 | ||

35f | Primary, Secondary | Increase and decrease numbers up to 1000 by 1, 10 or 100. | drfrostmaths.com/explorer.php?ssid=4681 | ||

35g | Primary, Secondary | Partition a number up to 1 million into powers of 10. | drfrostmaths.com/explorer.php?ssid=4682 | ||

35h | Secondary, Primary | Describe the place value of a digit of a number up to 1 million. | drfrostmaths.com/explorer.php?ssid=4683 | ||

35i | Secondary, Primary | Increase and decrease numbers up to 1 million by powers of 10. | drfrostmaths.com/explorer.php?ssid=4684 | ||

35j | Secondary, Primary | Partition a number over 1 million into powers of 10. | drfrostmaths.com/explorer.php?ssid=4685 | ||

35k | Secondary, Primary | Describe the place value of a digit of a number over 1 million. | drfrostmaths.com/explorer.php?ssid=4686 | ||

35l | Primary, Secondary | Increase and decrease numbers over 1 million by powers of 10. | drfrostmaths.com/explorer.php?ssid=4687 | ||

35m | Primary, Secondary | Arrange digits to create a number fitting a certain criteria. | drfrostmaths.com/explorer.php?ssid=8328 | ||

36 | Secondary, Primary | Exam Practice: Comparing and ordering positive numbers above 100 | drfrostmaths.com/explorer.php?ssid=4180 | E36 | |

36a | Secondary, Primary | Compare numbers up to 200 using inequalities. | drfrostmaths.com/explorer.php?ssid=4688 | ||

36b | Secondary, Primary | Order numbers up to 200. | drfrostmaths.com/explorer.php?ssid=4689 | ||

36c | Secondary, Primary | Compare numbers up to 1000 using inequalities. | drfrostmaths.com/explorer.php?ssid=4690 | ||

36d | Primary, Secondary | Order numbers up to 1000. | drfrostmaths.com/explorer.php?ssid=590 | https://www.youtube.com/embed/FuZNqFdE_AI | K1 |

36e | Primary, Secondary | Compare numbers up to 1 million using inequalities. | drfrostmaths.com/explorer.php?ssid=4691 | ||

36f | Primary, Secondary | Order numbers up to 1 million. | drfrostmaths.com/explorer.php?ssid=4692 | ||

36g | Secondary, Primary | Compare numbers over 1 million using inequalities. | drfrostmaths.com/explorer.php?ssid=4693 | ||

36h | Secondary, Primary | Order numbers over 1 million. | drfrostmaths.com/explorer.php?ssid=4694 | ||

37 | Primary, Secondary | Exam Practice: Rounding a number to nearest 10, 100, 1000 and beyond | drfrostmaths.com/explorer.php?ssid=41 | https://www.youtube.com/embed/aqyat9LEjWY | E37 |

37a | Primary, Secondary | Round a number to the nearest ten. | drfrostmaths.com/explorer.php?ssid=4695 | ||

37b | Primary, Secondary | Round a number to the nearest hundred. | drfrostmaths.com/explorer.php?ssid=4696 | ||

37c | Secondary, Primary | Round a number to the nearest thousand. | drfrostmaths.com/explorer.php?ssid=4697 | ||

37d | Primary, Secondary | Round a number to a given place value beyond thousands. | drfrostmaths.com/explorer.php?ssid=4698 | ||

37e | Primary, Secondary | DELETED Round a number to the nearest whole, ten, hundred or thousand. | drfrostmaths.com/explorer.php?ssid=628 | https://www.youtube.com/embed/z2vs-xx0zCg | K62 |

38 | Primary | Exam Practice: Further counting by skipping | drfrostmaths.com/explorer.php?ssid=4181 | E38 | |

38a | Primary | Count by skipping in 4s and 8s starting from 0. | drfrostmaths.com/explorer.php?ssid=4699 | ||

38b | Primary | Count by skipping in 6s, 7s and 9s starting from 0. | drfrostmaths.com/explorer.php?ssid=4700 | ||

38c | Primary | Count by skipping in 100s starting from 0. | drfrostmaths.com/explorer.php?ssid=4701 | ||

38d | Primary | Count by skipping in 50s starting from 0. | drfrostmaths.com/explorer.php?ssid=4702 | ||

38e | Primary | Count by skipping in thousands and other powers of 10 starting from 0. | drfrostmaths.com/explorer.php?ssid=4703 | ||

38f | Primary | Count by skipping in 4s and 8s starting anywhere. | drfrostmaths.com/explorer.php?ssid=4704 | ||

38g | Primary | Count by skipping in 6s, 7s and 9s starting anywhere. | drfrostmaths.com/explorer.php?ssid=4705 | ||

38h | Primary | Count by skipping in 100s starting anywhere. | drfrostmaths.com/explorer.php?ssid=4706 | ||

38i | Primary | Count by skipping in 50s starting anywhere. | drfrostmaths.com/explorer.php?ssid=4707 | ||

38j | Primary | Count by skipping in thousands and other powers of 10 starting anywhere. | drfrostmaths.com/explorer.php?ssid=4708 | ||

39 | Secondary, Primary | Exam Practice: Mental addition and subtraction strategies | drfrostmaths.com/explorer.php?ssid=4182 | E39 | |

39a | Secondary, Primary | Solve single-step addition problems using part-whole models. | drfrostmaths.com/explorer.php?ssid=1634 | ||

39b | Secondary, Primary | Solve single-step subtraction problems using part-whole models. | drfrostmaths.com/explorer.php?ssid=8310 | ||

39c | Secondary, Primary | Solve multi-step addition problems using part-whole models. | drfrostmaths.com/explorer.php?ssid=4709 | ||

39d | Secondary, Primary | Use flexible partitioning. | drfrostmaths.com/explorer.php?ssid=4710 | ||

39e | Secondary, Primary | Solve multi-step addition problems using partitioning, number bonds and commutativity. | drfrostmaths.com/explorer.php?ssid=4711 | ||

39f | Primary, Secondary | Solve multi-step subtraction problems using part-whole models. | drfrostmaths.com/explorer.php?ssid=4712 | ||

39g | Secondary, Primary | Solve multi-step subtraction problems using partitioning and number bonds. | drfrostmaths.com/explorer.php?ssid=4713 | ||

39h | Secondary, Primary | Solve multi-step addition and subtraction problems using using part-whole models. | drfrostmaths.com/explorer.php?ssid=4714 | ||

39i | Secondary, Primary | Solve multi-step addition and subtraction problems using partitioning and number bonds. | drfrostmaths.com/explorer.php?ssid=4715 | ||

40 | Secondary, Primary | Exam Practice: Column addition | drfrostmaths.com/explorer.php?ssid=376 | https://www.youtube.com/embed/RIotd3KnZ2Q | E40 |

40a | Secondary, Primary | Add integers up to 2 digit + 2 digit with a written method. | drfrostmaths.com/explorer.php?ssid=4716 | ||

40b | Primary, Secondary | Add integers up to 3 digit + 3 digit with a written method. | drfrostmaths.com/explorer.php?ssid=755 | https://www.youtube.com/embed/dcCGLSW1jl8 | K8 |

40c | Secondary, Primary | Add integers up to 4 digit + 4 digit with a written method. | drfrostmaths.com/explorer.php?ssid=4717 | ||

40d | Primary, Secondary | Add integers up to 5 digit + 5 digit with a written method. | drfrostmaths.com/explorer.php?ssid=1612 | ||

40e | Primary, Secondary | Add up to 4 integers using a written method. | drfrostmaths.com/explorer.php?ssid=4718 | ||

40f | Primary, Secondary | Write and complete a column addition from a worded problem. | drfrostmaths.com/explorer.php?ssid=4719 | ||

40g | Primary, Secondary | Find missing digits in a column addition. | drfrostmaths.com/explorer.php?ssid=1640 | ||

41 | Secondary, Primary | Exam Practice: Column subtraction | drfrostmaths.com/explorer.php?ssid=4183 | E41 | |

41a | Secondary, Primary | Subtract integers up to 2 digit - 2 digit with a written method. | drfrostmaths.com/explorer.php?ssid=4720 | ||

41b | Secondary, Primary | Subtract integers up to 2 digit - 2 digit with a written method with exchanging. | drfrostmaths.com/explorer.php?ssid=4721 | ||

41c | Secondary, Primary | Subtract integers up to 3 digit - 3 digit with a written method. | drfrostmaths.com/explorer.php?ssid=756 | https://www.youtube.com/embed/LBTpkrjP8WM | K9 |

41d | Primary, Secondary | Subtract integers up to 3 digit - 3 digit with a written method with exchanging. | drfrostmaths.com/explorer.php?ssid=757 | https://www.youtube.com/embed/AguzNffgyBA | K10 |

41e | Primary, Secondary | Subtract integers up to 4 digit - 4 digit with a written method. | drfrostmaths.com/explorer.php?ssid=4722 | ||

41f | Primary, Secondary | Subtract integers up to 5 digit - 5 digit with a written method. | drfrostmaths.com/explorer.php?ssid=1613 | ||

41g | Primary, Secondary | Write and complete a column subtraction from a worded problem. | drfrostmaths.com/explorer.php?ssid=4723 | ||

41h | Secondary, Primary | Find missing digits in a column subtraction. | drfrostmaths.com/explorer.php?ssid=4724 | ||

42 | Secondary, Primary | Exam Practice: Times tables up to 12 \times 12 | drfrostmaths.com/explorer.php?ssid=4184 | E42 | |

42a | Secondary, Primary | Know the 3 times table. | drfrostmaths.com/explorer.php?ssid=4725 | ||

42b | Secondary, Primary | Know the 4 times table. | drfrostmaths.com/explorer.php?ssid=4726 | ||

42c | Secondary, Primary | Know the 8 times table. | drfrostmaths.com/explorer.php?ssid=4727 | ||

42d | Primary, Secondary | Know all times tables up to 12\times12 | drfrostmaths.com/explorer.php?ssid=4728 | ||

43 | Primary, Secondary | Exam Practice: Properties of multiplication and division | drfrostmaths.com/explorer.php?ssid=4185 | E43 | |

43a | Secondary, Primary | Fact families with multiplication and division | drfrostmaths.com/explorer.php?ssid=1723 | ||

43b | Primary, Secondary | Understand multiplication and division as inverses. | drfrostmaths.com/explorer.php?ssid=4729 | ||

43c | Primary, Secondary | Understand that multiplication is commutative and division is not. | drfrostmaths.com/explorer.php?ssid=4730 | ||

43d | Secondary, Primary | Use commutativity to complete mental multiplication and division problems to 100. | drfrostmaths.com/explorer.php?ssid=4731 | ||

43e | Secondary, Primary | Work out a multiplication using a given fact and knowledge of times tables. | drfrostmaths.com/explorer.php?ssid=1718 | ||

43f | Primary, Secondary | Work out a division using a given fact and knowledge of times tables. | drfrostmaths.com/explorer.php?ssid=8331 | ||

43g | Secondary, Primary | Determine a missing number in a multiplication or division problem. | drfrostmaths.com/explorer.php?ssid=4732 | ||

44 | Secondary, Primary | Exam Practice: Multiplying numbers by 1 or 0 and divide by 1 | drfrostmaths.com/explorer.php?ssid=4186 | E44 | |

44a | Secondary, Primary | Multiplication and division by 1 (the multiplicative identity). | drfrostmaths.com/explorer.php?ssid=4733 | ||

44b | Primary, Secondary | Multiplication by 0. | drfrostmaths.com/explorer.php?ssid=4734 | ||

45 | Secondary, Primary | Exam Practice: Multiplying and dividing by 10, 100, 1000 etc, excluding decimals | drfrostmaths.com/explorer.php?ssid=404 | https://www.youtube.com/embed/DhndjuSKwKQ | E45 |

45a | Primary, Secondary | Multiply integers by 10, excluding decimals. | drfrostmaths.com/explorer.php?ssid=626 | https://www.youtube.com/embed/9Fk7E62mYIA | K11 |

45b | Primary, Secondary | Multiply integers by 100 or 1000, excluding decimals. | drfrostmaths.com/explorer.php?ssid=4735 | ||

45c | Primary, Secondary | Divide integers by 10, excluding decimals. | drfrostmaths.com/explorer.php?ssid=627 | https://www.youtube.com/embed/T4956zM6ZZ4 | K15 |

45d | Primary, Secondary | Divide integers by 100 or 1000, excluding decimals. | drfrostmaths.com/explorer.php?ssid=4736 | ||

45e | Secondary, Primary | Multiply and divide integers by powers of 10, greater than 1000, excluding decimals. | drfrostmaths.com/explorer.php?ssid=4737 | ||

45f | Secondary, Primary | Multiply and divide integers by multiples of 10, 100 and 1000. | drfrostmaths.com/explorer.php?ssid=4738 | ||

46 | Primary, Secondary | Exam Practice: The Commutative and Associative Laws | drfrostmaths.com/explorer.php?ssid=550 | E46 | |

46a | Primary, Secondary | Understand the commutative law for addition. | drfrostmaths.com/explorer.php?ssid=4739 | ||

46b | Primary, Secondary | Understand the commutative law for multiplication. | drfrostmaths.com/explorer.php?ssid=4740 | ||

46c | Secondary, Primary | Understand the associative law for addition. | drfrostmaths.com/explorer.php?ssid=4741 | ||

46d | Secondary, Primary | Understand the associative law for multiplication. | drfrostmaths.com/explorer.php?ssid=4742 | ||

46e | Primary, Secondary | Determine associativity or commutativity in a calculation. | drfrostmaths.com/explorer.php?ssid=2062 | ||

46f | Secondary, Primary | Add or subtract three numbers efficiently using commutativity. | drfrostmaths.com/explorer.php?ssid=2059 | ||

46g | Secondary, Primary | Multiply three numbers efficiently using commutativity. | drfrostmaths.com/explorer.php?ssid=2058 | ||

47 | Secondary, Primary | Exam Practice: The Distributive Law and the area model for multiplication | drfrostmaths.com/explorer.php?ssid=4187 | E47 | |

47a | Secondary, Primary | Understand the Distributive Law. | drfrostmaths.com/explorer.php?ssid=4743 | ||

47b | Secondary, Primary | Understand the area model for multiplication. | drfrostmaths.com/explorer.php?ssid=4744 | ||

47c | Primary, Secondary | Use the distributive law to complete mental multiplication calculations. | drfrostmaths.com/explorer.php?ssid=4745 | ||

48 | Secondary, Primary | Exam Practice: Related number facts with place value | drfrostmaths.com/explorer.php?ssid=4188 | E48 | |

48a | Secondary, Primary | Work out an addition or subtraction calculation using a given fact and an understanding of place value. | drfrostmaths.com/explorer.php?ssid=1691 | ||

48b | Secondary, Primary | Work out a multiplication using a given multiplication fact and knowledge of place value. | drfrostmaths.com/explorer.php?ssid=4746 | ||

48c | Secondary, Primary | Work out a division using a given division fact and knowledge of place value. | drfrostmaths.com/explorer.php?ssid=4747 | ||

48d | Secondary, Primary | Work out a multiplication or division using a given fact and knowledge about multiples and factors. | drfrostmaths.com/explorer.php?ssid=1429 | K26 | |

49 | Secondary, Primary | Exam Practice: Dividing a large number by a 1 digit number using partitioning | drfrostmaths.com/explorer.php?ssid=553 | E49 | |

49a | Secondary, Primary | Divide a 2-digit number by a 1-digit number by partitioning using place value. | drfrostmaths.com/explorer.php?ssid=4748 | ||

49b | Secondary, Primary | Divide a number with >3 digits by a 1-digit number by partitioning using place value. | drfrostmaths.com/explorer.php?ssid=1636 | ||

49c | Secondary, Primary | Divide a 2-digit number by a 1-digit number by partitioning using flexible partitioning. | drfrostmaths.com/explorer.php?ssid=4749 | ||

49d | Secondary, Primary | Divide a number with >3 digits by a 1-digit number by partitioning using flexible partitioning. | drfrostmaths.com/explorer.php?ssid=4750 | ||

50 | Primary, Secondary | Exam Practice: Solving one-step and two-step arithmetic problems, including working with money in the same unit | drfrostmaths.com/explorer.php?ssid=371 | E50 | |

50a | Primary, Secondary | Solve an arithmetic problem involving addition or subtraction of integers within the same unit, including money. | drfrostmaths.com/explorer.php?ssid=1419 | K24 | |

50b | Primary, Secondary | Solve an arithmetic problem involving multiplication or division of integers within the same unit, including money. | drfrostmaths.com/explorer.php?ssid=1440 | K25 | |

50c | Secondary, Primary | Solve an arithmetic problem involving two-steps of addition or subtraction of integers within the same unit, including money. | drfrostmaths.com/explorer.php?ssid=4751 | ||

50d | Primary, Secondary | Solve an arithmetic problem involving two-steps of multiplication or division of integers within the same unit, including money. | drfrostmaths.com/explorer.php?ssid=4752 | ||

50e | Primary, Secondary | Solve an arithmetic problem involving two-steps, one addition/subtraction and the other multiplication of integers within the same unit, including money. | drfrostmaths.com/explorer.php?ssid=4753 | ||

50f | Primary, Secondary | Solve an arithmetic problem involving two-steps, one addition/subtraction and the other division of integers within the same unit, including money. | drfrostmaths.com/explorer.php?ssid=4754 | ||

51 | Secondary, Primary | Exam Practice: Checking calculations | drfrostmaths.com/explorer.php?ssid=4189 | E51 | |

51a | Primary, Secondary | Check addition and subtraction calculations using the inverse. | drfrostmaths.com/explorer.php?ssid=4755 | ||

51b | Secondary, Primary | Check multiplication and division calculations using the inverse. | drfrostmaths.com/explorer.php?ssid=4756 | ||

51c | Secondary, Primary | Check arithmetic calculations by estimation. | drfrostmaths.com/explorer.php?ssid=4757 | ||

52 | Secondary, Primary | Exam Practice: Multiples of a number | drfrostmaths.com/explorer.php?ssid=574 | E52 | |

52a | Secondary, Primary | Identify multiples of a number from 1 to 12. | drfrostmaths.com/explorer.php?ssid=1684 | ||

52b | Secondary, Primary | Identify multiples of a number greater than 12. | drfrostmaths.com/explorer.php?ssid=4758 | ||

52c | Secondary, Primary | Write the first 3 multiples of a number. | drfrostmaths.com/explorer.php?ssid=604 | https://www.youtube.com/embed/WEaKRZ4dkSI | K60 |

52d | Secondary, Primary | Write all the multiples of a number in a range. | drfrostmaths.com/explorer.php?ssid=1702 | ||

53 | Secondary, Primary | Exam Practice: Factors of a number | drfrostmaths.com/explorer.php?ssid=27 | https://www.youtube.com/embed/vnetli2ToaE | E53 |

53a | Secondary, Primary | Identify a factor of a number. | drfrostmaths.com/explorer.php?ssid=8320 | ||

53b | Secondary, Primary | Find factor pairs of a number. | drfrostmaths.com/explorer.php?ssid=1665 | ||

53c | Secondary, Primary | List all factors of a number. | drfrostmaths.com/explorer.php?ssid=603 | https://www.youtube.com/embed/AoqVb96vCZM | K59 |

53d | Secondary, Primary | DELETED DECOMMISSIONED Determine which numbers divide into a given number. | drfrostmaths.com/explorer.php?ssid=1336 | https://www.youtube.com/embed/N6vj6TkYpGw | K222 |

54 | Primary, Secondary | Exam Practice: Recognising and using fractions with denominators to 12 | drfrostmaths.com/explorer.php?ssid=4190 | E54 | |

54a | Primary, Secondary | Identify fifths and tenths from bar models. | drfrostmaths.com/explorer.php?ssid=4759 | ||

54b | Secondary, Primary | Identify fifths and tenths of a shape or set of objects. | drfrostmaths.com/explorer.php?ssid=4760 | ||

54c | Secondary, Primary | Identify fractions with denominators up to 12 from bar models. | drfrostmaths.com/explorer.php?ssid=4761 | ||

54d | Primary, Secondary | Identify fractions with denominators up to 12 of a shape or set of objects. | drfrostmaths.com/explorer.php?ssid=4762 | ||

54e | Primary, Secondary | Count in steps of a unit fraction with denominator up to 12. | drfrostmaths.com/explorer.php?ssid=4763 | ||

54f | Primary, Secondary | Count in steps of a non-unit fraction with denominator up to 12. | drfrostmaths.com/explorer.php?ssid=4764 | ||

54g | Primary, Secondary | Read unit fractions with a denominator up to 12 off a number line. | drfrostmaths.com/explorer.php?ssid=4765 | ||

54h | Secondary, Primary | Place unit fractions with a denominator up to 12 on a number line. | drfrostmaths.com/explorer.php?ssid=4766 | ||

54i | Secondary, Primary | Read non-unit fractions with a denominator up to 12 off a number line. | drfrostmaths.com/explorer.php?ssid=4767 | ||

54j | Secondary, Primary | Recognise one whole as a fraction with the same numerator and denominator. | drfrostmaths.com/explorer.php?ssid=4768 | ||

54k | Secondary, Primary | Recognise whole number as a fraction with denominator of one. | drfrostmaths.com/explorer.php?ssid=4769 | ||

54l | Primary, Secondary | Write a whole number as a fraction with any denominator. | drfrostmaths.com/explorer.php?ssid=4770 | ||

54m | Secondary, Primary | Place non-unit fractions with a denominator up to 12 on a number line. | drfrostmaths.com/explorer.php?ssid=4771 | ||

54n | Secondary, Primary | Identify equivalent fractions using bar models and other diagrams. | drfrostmaths.com/explorer.php?ssid=4772 | ||

55 | Secondary, Primary | Exam Practice: Comparing and ordering fractions where one part is the same | drfrostmaths.com/explorer.php?ssid=4191 | E55 | |

55a | Secondary, Primary | Compare fractions with the same denominator using bar models and number lines. | drfrostmaths.com/explorer.php?ssid=4773 | ||

55b | Secondary, Primary | Compare fractions with the same denominator. | drfrostmaths.com/explorer.php?ssid=4774 | ||

55c | Primary, Secondary | Order fractions with the same denominator. | drfrostmaths.com/explorer.php?ssid=4775 | ||

55d | Secondary, Primary | Compare unit fractions using bar models and number lines. | drfrostmaths.com/explorer.php?ssid=4776 | ||

55e | Secondary, Primary | Order unit fractions using bar models and number lines. | drfrostmaths.com/explorer.php?ssid=4777 | ||

55f | Secondary, Primary | Compare unit fractions. | drfrostmaths.com/explorer.php?ssid=4778 | ||

55g | Secondary, Primary | Compare fractions with the same numerator using bar models and number lines. | drfrostmaths.com/explorer.php?ssid=4779 | ||

55h | Secondary, Primary | Compare fractions with the same numerator. | drfrostmaths.com/explorer.php?ssid=4780 | ||

55i | Secondary, Primary | Order fractions with the same numerator. | drfrostmaths.com/explorer.php?ssid=4781 | ||

56 | Primary, Secondary | Exam Practice: Adding and subtracting fractions with the same denominator | drfrostmaths.com/explorer.php?ssid=584 | E56 | |

56a | Primary, Secondary | Add proper fractions with the same denominator, within a whole. | drfrostmaths.com/explorer.php?ssid=594 | https://www.youtube.com/embed/jx0CO38kmio | K169 |

56b | Primary, Secondary | Add proper fractions with the same denominator, with total greater than a whole. | drfrostmaths.com/explorer.php?ssid=4782 | ||

56c | Primary, Secondary | Add improper fractions with the same denominator, with total greater than a whole. | drfrostmaths.com/explorer.php?ssid=4783 | ||

56d | Secondary, Primary | Subtract proper fractions with the same denominator, within a whole. | drfrostmaths.com/explorer.php?ssid=4784 | ||

56e | Primary, Secondary | Subtract from improper fractions with the same denominator. | drfrostmaths.com/explorer.php?ssid=4785 | ||

57 | Primary, Secondary | Exam Practice: Fractions of an amount | drfrostmaths.com/explorer.php?ssid=24 | https://www.youtube.com/embed/Jc9P678qu1o | E57 |

57a | Primary, Secondary | Calculate a half, quarter or third of a given quantity. | drfrostmaths.com/explorer.php?ssid=4786 | ||

57b | Primary, Secondary | Calculate two-thirds of a given quantity. | drfrostmaths.com/explorer.php?ssid=4787 | ||

57c | Primary, Secondary | Calculate three-quarters of a given quantity. | drfrostmaths.com/explorer.php?ssid=4788 | ||

57d | Primary, Secondary | Calculate a unit fraction of a given quantity (with denominator up to 12). | drfrostmaths.com/explorer.php?ssid=1823 | https://www.youtube.com/embed/sqU1HJMTye8 | |

57e | Primary, Secondary | Calculate a non-unit fraction of a given quantity (with denominator up to 12). | drfrostmaths.com/explorer.php?ssid=597 | https://www.youtube.com/embed/jm6qoetSKpU | K183 |

58 | Secondary, Primary | Exam Practice: Roman numerals | drfrostmaths.com/explorer.php?ssid=569 | E58 | |

58a | Primary, Secondary | Read Roman numerals less than 10. | drfrostmaths.com/explorer.php?ssid=1938 | ||

58b | Secondary, Primary | Read Roman numerals less than 100. | drfrostmaths.com/explorer.php?ssid=1277 | https://www.youtube.com/embed/x34ccSF7RBM | K226 |

58c | Secondary, Primary | Read Roman numerals less than 500. | drfrostmaths.com/explorer.php?ssid=1454 | K227 | |

58d | Primary, Secondary | Read Roman numerals less than 5000. | drfrostmaths.com/explorer.php?ssid=1739 | ||

58e | Secondary, Primary | Tell the time using an analogue clock with Roman Numeral markings. | drfrostmaths.com/explorer.php?ssid=4789 | ||

59 | Primary, Secondary | Exam Practice: Time conversions | drfrostmaths.com/explorer.php?ssid=380 | E59 | |

59a | Secondary, Primary | Convert from hours to minutes. | drfrostmaths.com/explorer.php?ssid=1270 | https://www.youtube.com/embed/cwfHn5btsk8 | K64 |

59b | Secondary, Primary | Convert from minutes to seconds. | drfrostmaths.com/explorer.php?ssid=1271 | https://www.youtube.com/embed/tp5J1XfTSTM | K65 |

59c | Primary, Secondary | Convert from weeks to days. | drfrostmaths.com/explorer.php?ssid=1273 | https://www.youtube.com/embed/K-ne4CFEGq8 | K67 |

59d | Secondary, Primary | Convert from years to months. | drfrostmaths.com/explorer.php?ssid=1272 | https://www.youtube.com/embed/kVsbAHh3TdY | K66 |

59e | Primary, Secondary | Convert from minutes to hours and minutes | drfrostmaths.com/explorer.php?ssid=1581 | K758 | |

59f | Secondary, Primary | Convert from seconds to minutes and seconds. | drfrostmaths.com/explorer.php?ssid=1582 | K759 | |

59g | Secondary, Primary | Convert from days to weeks. | drfrostmaths.com/explorer.php?ssid=4790 | ||

59h | Secondary, Primary | Convert from months to years. | drfrostmaths.com/explorer.php?ssid=4791 | ||

60 | Primary, Secondary | Exam Practice: Reading times on digital clocks | drfrostmaths.com/explorer.php?ssid=421 | https://www.youtube.com/embed/Uz8_xKutjW8 | E60 |

60a | Primary, Secondary | Convert from the 12-hour clock to the 24-hour clock. | drfrostmaths.com/explorer.php?ssid=1275 | https://www.youtube.com/embed/mnreww2pgNg | K69 |

60b | Primary, Secondary | Convert from the 24-hour clock to the 12-hour clock. | drfrostmaths.com/explorer.php?ssid=4792 | ||

60c | Primary, Secondary | Convert from a 12-hour clock to an analogue clock. | drfrostmaths.com/explorer.php?ssid=4793 | ||

60d | Primary, Secondary | Convert from a 24-hour clock to an analogue clock. | drfrostmaths.com/explorer.php?ssid=4794 | ||

60e | Primary, Secondary | Write times such as half past, quarter past and quarter to on a 12- or 24-hour clock. | drfrostmaths.com/explorer.php?ssid=4795 | ||

61 | Secondary, Primary | Exam Practice: Difference between two times or the end time after a time has elapsed | drfrostmaths.com/explorer.php?ssid=145 | E61 | |

61a | Primary, Secondary | Calculate the difference between two times where the end time has a greater number of minutes. | drfrostmaths.com/explorer.php?ssid=4796 | ||

61b | Secondary, Primary | Calculate the difference between any two times. | drfrostmaths.com/explorer.php?ssid=1274 | https://www.youtube.com/embed/n6aLbsLWbjw | K70 |

61c | Primary, Secondary | Calculate the new time after a period of time in hours and minutes has elapsed, without overflow into the next hour. | drfrostmaths.com/explorer.php?ssid=4797 | ||

61d | Primary, Secondary | Calculate the new time after a period of time less than an hour has elapsed, with overflow into the next hour. | drfrostmaths.com/explorer.php?ssid=4798 | ||

61e | Secondary, Primary | Calculate the new time after a period of time given in hours and minutes has elapsed, with overflow. | drfrostmaths.com/explorer.php?ssid=1434 | K71 | |

61f | Secondary, Primary | Calculate the new time after a longer period of time has elapsed given in minutes. | drfrostmaths.com/explorer.php?ssid=4799 | ||

61g | Secondary, Primary | Calculate the number of equal interval periods within a time that has elapsed. | drfrostmaths.com/explorer.php?ssid=4800 | ||

62 | Secondary, Primary | Exam Practice: Identifying right-angles and relating to other angles and turns | drfrostmaths.com/explorer.php?ssid=4192 | E62 | |

62a | Secondary, Primary | Identify full turns, half turns and quarter turns. | drfrostmaths.com/explorer.php?ssid=4801 | ||

62b | Secondary, Primary | Recognise a right-angle and describe other turns in relation to it. | drfrostmaths.com/explorer.php?ssid=4802 | ||

62c | Secondary, Primary | Compare and order angles up to two right angles by size. | drfrostmaths.com/explorer.php?ssid=1279 | K100 | |

62d | Secondary, Primary | Compare and order angles up to two full turns by size. | drfrostmaths.com/explorer.php?ssid=4803 | ||

63 | Secondary, Primary | Exam Practice: Identifying vertical, horizontal, parallel and perpendicular lines | drfrostmaths.com/explorer.php?ssid=555 | E63 | |

63a | Secondary, Primary | Identify vertical and horizontal lines. | drfrostmaths.com/explorer.php?ssid=4804 | ||

63b | Secondary, Primary | Identify pairs of perpendicular and parallel lines. | drfrostmaths.com/explorer.php?ssid=1276 | https://www.youtube.com/embed/WvY39WpbiSY | K303 |

63c | Secondary, Primary | Identify parallel lines in context. | drfrostmaths.com/explorer.php?ssid=4805 | ||

63d | Secondary, Primary | Identify perpendicular lines in context. | drfrostmaths.com/explorer.php?ssid=4806 | ||

64 | Secondary, Primary | Exam Practice: Measuring perimeter for 2D shapes | drfrostmaths.com/explorer.php?ssid=4193 | E64 | |

64a | Primary, Secondary | Determine the perimeter of a rectangle by counting unit lengths. | drfrostmaths.com/explorer.php?ssid=4807 | ||

64b | Secondary, Primary | Determine the perimeter of a more general rectilinear shape by counting unit lengths. | drfrostmaths.com/explorer.php?ssid=1452 | K109 | |

65 | Primary, Secondary | Exam Practice: Bar charts | drfrostmaths.com/explorer.php?ssid=336 | E65 | |

65a | Secondary, Primary | Identify a bar from a bar chart. | drfrostmaths.com/explorer.php?ssid=2288 | ||

65b | Secondary, Primary | Identify a frequency from a bar chart. | drfrostmaths.com/explorer.php?ssid=952 | https://www.youtube.com/embed/x1u2bXAA0a4 | K83 |

65c | Secondary, Primary | Draw a bar chart. | drfrostmaths.com/explorer.php?ssid=835 | https://www.youtube.com/embed/uXvwfpnRDrA | K82 |

65d | Secondary, Primary | Identify bars with the highest or lowest frequency. | drfrostmaths.com/explorer.php?ssid=4808 | ||

65e | Secondary, Primary | Identify bars in a frequency range. | drfrostmaths.com/explorer.php?ssid=4809 | ||

65f | Primary, Secondary | Identify the total frequency from a bar chart. | drfrostmaths.com/explorer.php?ssid=2289 | ||

65g | Secondary, Primary | Identify a difference from a bar chart. | drfrostmaths.com/explorer.php?ssid=4810 | ||

65h | Primary, Secondary | Use frequencies from a bar chart where each bar represents a number of occurences to calculate a total. | drfrostmaths.com/explorer.php?ssid=2290 | ||

65i | Primary, Secondary | Draw a bar chart from a given pictogram. | drfrostmaths.com/explorer.php?ssid=4811 | ||

65j | Primary, Secondary | Make a simple calculation using a frequency from a bar chart. | drfrostmaths.com/explorer.php?ssid=4812 | ||

65k | Secondary, Primary | Identify problems with a bar chart. | drfrostmaths.com/explorer.php?ssid=4813 | ||

65l | Secondary, Primary | Draw a bar chart for continuous, grouped data (no inequalities). | drfrostmaths.com/explorer.php?ssid=4814 | ||

65m | Secondary, Primary | Interpret a bar chart for continuous, grouped data (no inequalities). | drfrostmaths.com/explorer.php?ssid=4815 | ||

66 | Secondary, Primary | Exam Practice: Short column multiplication | drfrostmaths.com/explorer.php?ssid=4194 | E66 | |

66a | Primary, Secondary | Multiply a 2-digit integer greater than 12 by a single-digit integer. | drfrostmaths.com/explorer.php?ssid=4816 | ||

66b | Primary, Secondary | Multiply a 3-digit integer by a single-digit integer. | drfrostmaths.com/explorer.php?ssid=4817 | ||

66c | Primary, Secondary | Multiply integers with 4 or more digits by a single-digit integer. | drfrostmaths.com/explorer.php?ssid=622 | https://www.youtube.com/embed/LAiBy51LT34 | K12 |

66d | Primary, Secondary | Determine missing digits in short multiplication calculations. | drfrostmaths.com/explorer.php?ssid=4818 | ||

66e | Primary, Secondary | DELETED Multiply a 2-digit integer gereater than 12 by a single-digit integer. | drfrostmaths.com/explorer.php?ssid=589 | https://www.youtube.com/embed/e6pw9c_5wwo | K2 |

67 | Secondary, Primary | Exam Practice: Long column multiplication | drfrostmaths.com/explorer.php?ssid=328 | https://www.youtube.com/embed/tz1Ey-I28eQ | E67 |

67a | Primary, Secondary | Multiply a 2-digit integer by a 2-digit integer. | drfrostmaths.com/explorer.php?ssid=1488 | https://www.youtube.com/embed/w_vsu6zEhkk | K706 |

67b | Primary, Secondary | Multiply a 3-digit integer by a 2-digit integer. | drfrostmaths.com/explorer.php?ssid=1383 | K13 | |

67c | Primary, Secondary | Multiply a 4-digit integer by a 2-digit integer. | drfrostmaths.com/explorer.php?ssid=4819 | ||

67d | Secondary, Primary | Multiply integers with more than 4 digits by a 2-digit integer. | drfrostmaths.com/explorer.php?ssid=4820 | ||

67e | Primary, Secondary | Multiply any integer by a 3-digit integer. | drfrostmaths.com/explorer.php?ssid=623 | https://www.youtube.com/embed/aI5nee12i-g | K14 |

67f | Secondary, Primary | Determine missing digits in long multiplication calculations. | drfrostmaths.com/explorer.php?ssid=4821 | ||

68 | Primary, Secondary | Exam Practice: Recognising and using tenths, hundredths and thousandths | drfrostmaths.com/explorer.php?ssid=4195 | E68 | |

68a | Primary, Secondary | Recognise tenths using pictorial representations. | drfrostmaths.com/explorer.php?ssid=4822 | ||

68b | Primary, Secondary | Recognise hundredths using pictorial representations. | drfrostmaths.com/explorer.php?ssid=4823 | ||

68c | Primary, Secondary | Convert between tenths and hundredths. | drfrostmaths.com/explorer.php?ssid=4824 | ||

68d | Primary, Secondary | Recognise thousandths using pictorial representations. | drfrostmaths.com/explorer.php?ssid=4825 | ||

68e | Primary, Secondary | Convert between thousandths, hundredths and tenths. | drfrostmaths.com/explorer.php?ssid=4826 | ||

68f | Primary, Secondary | Read tenths, hundredths and thousandths off a number line. | drfrostmaths.com/explorer.php?ssid=4827 | ||

68g | Primary, Secondary | Place tenths, hundredths and thousandths on a number line. | drfrostmaths.com/explorer.php?ssid=4828 | ||

69 | Primary, Secondary | Exam Practice: Place value of the tenths, hundredths and thousandths digits | drfrostmaths.com/explorer.php?ssid=377 | https://www.youtube.com/embed/PkIBZ60Oqjc | E69 |

69a | Secondary, Primary | Know the place value of digits in decimal numbers up to 3 decimal places. | drfrostmaths.com/explorer.php?ssid=758 | https://www.youtube.com/embed/oDKjiWQAkaY | K27 |

69b | Primary, Secondary | Convert between fractional and decimal forms of tenths. | drfrostmaths.com/explorer.php?ssid=4829 | ||

69c | Secondary, Primary | DELETED Compare two decimal numbers using =, \ne, < or >. | drfrostmaths.com/explorer.php?ssid=1331 | K339 | |

69c | Secondary, Primary | Convert between fractional and decimal forms of hundredths. | drfrostmaths.com/explorer.php?ssid=4830 | ||

69d | Secondary, Primary | DELETED Order decimals. | drfrostmaths.com/explorer.php?ssid=753 | https://www.youtube.com/embed/a7Sz-zPN3og | K28 |

69d | Secondary, Primary | Convert between fractional and decimal forms of thousandths. | drfrostmaths.com/explorer.php?ssid=4831 | ||

69e | Secondary, Primary | Partition a decimal of up to 3 decimal places in decimal form. | drfrostmaths.com/explorer.php?ssid=4832 | ||

69f | Secondary, Primary | Partition a decimal of up to 3 decimal places into fractional form. | drfrostmaths.com/explorer.php?ssid=4833 | ||

69g | Primary, Secondary | Recognise decimals of up to three digits on pictorial representations. | drfrostmaths.com/explorer.php?ssid=4834 | ||

69h | Secondary, Primary | Place numbers with one decimal place on a number line. | drfrostmaths.com/explorer.php?ssid=1339 | https://www.youtube.com/embed/G1v09bpAioM | K41 |

69i | Secondary, Primary | Place numbers with two decimal places on a number line. | drfrostmaths.com/explorer.php?ssid=4835 | ||

69j | Secondary, Primary | Place numbers with three decimal places on a number line. | drfrostmaths.com/explorer.php?ssid=4836 | ||

69k | Secondary, Primary | Write down a decimal number as shown on a number line. | drfrostmaths.com/explorer.php?ssid=1340 | https://www.youtube.com/embed/G1v09bpAioM | K42 |

69l | Secondary, Primary | Know the place value of digits in decimal numbers beyond 3 decimal places. | drfrostmaths.com/explorer.php?ssid=4837 | ||

70 | Secondary, Primary | Exam Practice: Multiplying and dividing by 10, 100, 1000, including decimals | drfrostmaths.com/explorer.php?ssid=40 | https://www.youtube.com/embed/bWZLt3hJ_Cg | E70 |

70a | Primary, Secondary | Multiply decimals with 1 decimal place by 10, 100 or 1000. | drfrostmaths.com/explorer.php?ssid=4838 | ||

70b | Secondary, Primary | Multiply decimals with up to 3 decimal places by 10, 100 or 1000. | drfrostmaths.com/explorer.php?ssid=4839 | ||

70c | Secondary, Primary | Multiply decimals with up to 3 decimal places by positive powers of 10, greater than 1000. | drfrostmaths.com/explorer.php?ssid=614 | https://www.youtube.com/embed/XfXQ246BRoU | K29 |

70d | Primary, Secondary | DELETED Multiply decimals by multiples of 10, 100, 1000. | drfrostmaths.com/explorer.php?ssid=1614 | ||

70d | Secondary, Primary | Divide integers by 10, 100 or 1000, to give an answer with up to 3 decimal places. | drfrostmaths.com/explorer.php?ssid=4840 | ||

70e | Primary, Secondary | DELETED Divide decimals by multiples of 10, 100, 1000. | drfrostmaths.com/explorer.php?ssid=1615 | ||

70e | Primary, Secondary | Divide decimals with 1 decimal place by 10, 100 or 1000. | drfrostmaths.com/explorer.php?ssid=4841 | ||

70f | Primary, Secondary | Divide decimals with up to 3 decimal places by 10, 100 or 1000. | drfrostmaths.com/explorer.php?ssid=4842 | ||

70g | Secondary, Primary | Divide integers and decimals by positive powers of 10, greater than 1000. | drfrostmaths.com/explorer.php?ssid=615 | https://www.youtube.com/embed/Bt58yQDKI7I | K30 |

71 | Secondary, Primary | Exam Practice: Compare decimals | drfrostmaths.com/explorer.php?ssid=4196 | E71 | |

71a | Secondary, Primary | Compare decimals with 1 decimal place using inequalities. | drfrostmaths.com/explorer.php?ssid=4843 | ||

71b | Primary, Secondary | Order decimals with 1 decimal place. | drfrostmaths.com/explorer.php?ssid=4844 | ||

71c | Primary, Secondary | Compare decimals with up to 2 decimal places using inequalities. | drfrostmaths.com/explorer.php?ssid=4845 | ||

71d | Secondary, Primary | Order decimals with up to 2 decimal places. | drfrostmaths.com/explorer.php?ssid=4846 | ||

71e | Secondary, Primary | Compare decimals with up to 3 decimal places using inequalities. | drfrostmaths.com/explorer.php?ssid=4847 | ||

71f | Secondary, Primary | Order decimals with up to 3 decimal places. | drfrostmaths.com/explorer.php?ssid=4848 | ||

71g | Secondary, Primary | Compare decimals with more than 3 decimal places using inequalities. | drfrostmaths.com/explorer.php?ssid=4849 | ||

71h | Primary, Secondary | Order decimals with more than 3 decimal places. | drfrostmaths.com/explorer.php?ssid=4850 | ||

72 | Exam Practice: Find the perimeter and area of more complex rectilinear shapes. | drfrostmaths.com/explorer.php?ssid=123 | https://www.youtube.com/embed/rvFKw47fxvk | E72 | |

72 | Primary, Secondary | Exam Practice: Number bonds for numbers between 0 and 1 | drfrostmaths.com/explorer.php?ssid=4197 | E72 | |

72a | Secondary, Primary | Use number bonds to 1 with 1 decimal place. | drfrostmaths.com/explorer.php?ssid=4851 | ||

72b | Secondary, Primary | Use number bonds to 1 with 2 decimal places. | drfrostmaths.com/explorer.php?ssid=4852 | ||

72c | Primary, Secondary | Use number bonds to 1 with 3 decimal places. | drfrostmaths.com/explorer.php?ssid=4853 | ||

72d | Primary, Secondary | Use number bonds to numbers with 1 decimal place. | drfrostmaths.com/explorer.php?ssid=4854 | ||

72e | Primary, Secondary | Use number bonds to numbers with 2 decimal places. | drfrostmaths.com/explorer.php?ssid=4855 | ||

72f | Secondary, Primary | Use number bonds to numbers with 3 decimal places. | drfrostmaths.com/explorer.php?ssid=4856 | ||

73 | Primary, Secondary | Exam Practice: Making up monetary values with coins and notes, with decimal notation (GBP/Euro/Dollars) | drfrostmaths.com/explorer.php?ssid=4198 | E73 | |

73a | Secondary, Primary | Write monetary values given in British pounds and pence in decimal form. | drfrostmaths.com/explorer.php?ssid=4857 | ||

73b | Secondary, Primary | Partition money written in decimal form into British pounds and pence. | drfrostmaths.com/explorer.php?ssid=4858 | ||

73c | Secondary, Primary | Write monetary values given in Euros and cents in decimal form. | drfrostmaths.com/explorer.php?ssid=4859 | ||

73d | Secondary, Primary | Partition money written in decimal form into Euros and cents. | drfrostmaths.com/explorer.php?ssid=4860 | ||

73e | Primary, Secondary | Write monetary values given in US Dollars and cents in decimal form. | drfrostmaths.com/explorer.php?ssid=4861 | ||

73f | Primary, Secondary | Partition money written in decimal form into US Dollars and Cents. | drfrostmaths.com/explorer.php?ssid=4862 | ||

73g | Secondary, Primary | Use number bonds to the nearest Â£1. | drfrostmaths.com/explorer.php?ssid=4863 | ||

73h | Secondary, Primary | Use coins and notes to make up values in British pounds in decimal notation. | drfrostmaths.com/explorer.php?ssid=4864 | ||

73i | Secondary, Primary | Use coins and notes to make up values in Euros in decimal notation. | drfrostmaths.com/explorer.php?ssid=4865 | ||

73j | Primary, Secondary | Use coins and notes to make up values in US Dollars in decimal notation. | drfrostmaths.com/explorer.php?ssid=4866 | ||

73k | Primary, Secondary | Compare and order monetary values in British pounds. | drfrostmaths.com/explorer.php?ssid=4867 | ||

73l | Secondary, Primary | Compare and order monetary values in Euros. | drfrostmaths.com/explorer.php?ssid=4868 | ||

73m | Secondary, Primary | Compare and order monetary values in US Dollars. | drfrostmaths.com/explorer.php?ssid=4869 | ||

74 | Secondary, Primary | Exam Practice: Adding and subtracting decimal numbers | drfrostmaths.com/explorer.php?ssid=37 | https://www.youtube.com/embed/0Xu_vUVgBu4 | E74 |

74a | Secondary, Primary | Add two decimal numbers with the same number of decimal places, up to thousandths. | drfrostmaths.com/explorer.php?ssid=4870 | ||

74b | Primary, Secondary | Add two decimal numbers with a different number of decimal places, up to thousandths. | drfrostmaths.com/explorer.php?ssid=616 | https://www.youtube.com/embed/yf30WKg3R3w | K31 |

74c | Secondary, Primary | Subtract two decimal numbers with the same number of decimal places, up to thousandths. | drfrostmaths.com/explorer.php?ssid=4871 | ||

74d | Primary, Secondary | Subtract two decimal numbers with a different number of decimal places, up to thousandths. | drfrostmaths.com/explorer.php?ssid=617 | https://www.youtube.com/embed/XDyirhwIkO0 | K32 |

74e | Secondary, Primary | Add and subtract multiple decimals. | drfrostmaths.com/explorer.php?ssid=4872 | ||

74f | Secondary, Primary | Add decimal monetary values to give totals. | drfrostmaths.com/explorer.php?ssid=4873 | ||

74g | Primary, Secondary | Subtract decimal monetary values to give differences. | drfrostmaths.com/explorer.php?ssid=4874 | ||

74h | Secondary, Primary | Complete multi-step addition and subtraction problems with decimal monetary values. | drfrostmaths.com/explorer.php?ssid=4875 | ||

75 | Primary, Secondary | Exam Practice: Rounding a number to a given number of decimal places | drfrostmaths.com/explorer.php?ssid=42 | https://www.youtube.com/embed/Ti6Ixehp4dc | E75 |

75a | Secondary, Primary | Round a number to the nearest whole. | drfrostmaths.com/explorer.php?ssid=4876 | ||

75b | Secondary, Primary | Round a number to 1 decimal place. | drfrostmaths.com/explorer.php?ssid=4877 | ||

75c | Secondary, Primary | Round a number to 2 or more decimal places. | drfrostmaths.com/explorer.php?ssid=629 | https://www.youtube.com/embed/LSGPDaYDffE | K63 |

76 | Secondary, Primary | Exam Practice: Types of angle | drfrostmaths.com/explorer.php?ssid=405 | https://www.youtube.com/embed/xGYRXdbbb-U | E76 |

76a | Secondary, Primary | Identify the type of angle from drawn form. | drfrostmaths.com/explorer.php?ssid=953 | https://www.youtube.com/embed/O8WifnkYklg | K99 |

76b | Secondary, Primary | Identify the type of angle in numeric form. | drfrostmaths.com/explorer.php?ssid=4878 | ||

76c | Primary, Secondary | Identify angles of a certain type in a given shape. | drfrostmaths.com/explorer.php?ssid=4879 | ||

77 | Secondary, Primary | Exam Practice: Types of quadrilaterals and triangles | drfrostmaths.com/explorer.php?ssid=111 | https://www.youtube.com/embed/S1D65Nxm8d8 | E77 |

77a | Secondary, Primary | Know the names of different types of triangles. | drfrostmaths.com/explorer.php?ssid=1362 | https://www.youtube.com/embed/6pq7wwEcNqY | K94 |

77b | Primary, Secondary | Know the names of quadrilaterals. | drfrostmaths.com/explorer.php?ssid=1433 | https://www.youtube.com/embed/DX3tpJ-9nyI | K95 |

78 | Primary, Secondary | Exam Practice: Properties of polygons | drfrostmaths.com/explorer.php?ssid=142 | https://www.youtube.com/embed/nTamcBQWg94 | E78 |

78a | Primary, Secondary | Distinguish between regular and irregular polygons. | drfrostmaths.com/explorer.php?ssid=4880 | ||

78b | Primary, Secondary | Identify lines of symmetry in 2D shapes. | drfrostmaths.com/explorer.php?ssid=995 | https://www.youtube.com/embed/m0aRF0ovXHY | K97 |

78c | Primary, Secondary | Draw the line of symmetry where only one line of symmetry exists. | drfrostmaths.com/explorer.php?ssid=4881 | ||

78d | Primary, Secondary | Understand the definition of different quadrilaterals and their properties. | drfrostmaths.com/explorer.php?ssid=993 | https://www.youtube.com/embed/zveG9syhgpA | K96 |

78e | Primary, Secondary | Identify shapes which tessellate with themselves. | drfrostmaths.com/explorer.php?ssid=4882 | ||

79 | Secondary, Primary | Exam Practice: Perimeter of a 2D shape by adding lengths | drfrostmaths.com/explorer.php?ssid=572 | E79 | |

79a | Secondary, Primary | Calculate the perimeter of a 2D shape by adding lengths. | drfrostmaths.com/explorer.php?ssid=763 | https://www.youtube.com/embed/HLSd4bxCfFA | K110 |

79b | Secondary, Primary | Calculate the perimeter of a regular polygon given one of its sides. | drfrostmaths.com/explorer.php?ssid=4883 | ||

79c | Secondary, Primary | Calculate the perimeter of a rectangle. | drfrostmaths.com/explorer.php?ssid=1421 | https://www.youtube.com/embed/Y5b7xyJ68R0 | K111 |

79d | Secondary, Primary | Calculate the perimeter of an isosceles triangle. | drfrostmaths.com/explorer.php?ssid=4884 | ||

79e | Primary, Secondary | Calculate the side length of a regular polygon given its perimeter. | drfrostmaths.com/explorer.php?ssid=4885 | ||

79f | Secondary, Primary | Calculate a side length of a rectangle given its perimeter. | drfrostmaths.com/explorer.php?ssid=1341 | https://www.youtube.com/embed/GkED2EzrlFc | K112 |

79g | Primary, Secondary | Calculate a side length within an isosceles triangle given its perimeter. | drfrostmaths.com/explorer.php?ssid=4886 | ||

79h | Primary, Secondary | Determine lengths in a square, rectangle or isosceles triangle, given that two shapes have the same perimeter. | drfrostmaths.com/explorer.php?ssid=4887 | ||

79i | Secondary, Primary | Determine lengths of a rectangle or square formed by splitting or putting together other rectangles or squares. | drfrostmaths.com/explorer.php?ssid=4888 | ||

80 | Secondary, Primary | Exam Practice: Area of shapes by counting squares | drfrostmaths.com/explorer.php?ssid=571 | E80 | |

80a | Secondary, Primary | Determine the area of a rectangle by counting squares. | drfrostmaths.com/explorer.php?ssid=2155 | ||

80b | Secondary, Primary | Determine the area of rectilinear shapes by counting squares. | drfrostmaths.com/explorer.php?ssid=1278 | https://www.youtube.com/embed/CJjI5vqvYgA | K113 |

80c | Secondary, Primary | Determine the area of shapes involving half squares. | drfrostmaths.com/explorer.php?ssid=2131 | ||

81 | Secondary, Primary | Exam Practice: Reflecting a shape in a mirror line (no axes) | drfrostmaths.com/explorer.php?ssid=4199 | E81 | |

81a | Secondary, Primary | Reflect a shape in a vertical or horizontal mirror line which touches the shape. | drfrostmaths.com/explorer.php?ssid=4889 | ||

81b | Secondary, Primary | Reflect a shape in a vertical or horizontal line which does not touch the shape. | drfrostmaths.com/explorer.php?ssid=4890 | ||

81c | Secondary, Primary | Complete a shape by reflecting in its vertical or horizontal mirror line. | drfrostmaths.com/explorer.php?ssid=4891 | ||

81d | Secondary, Primary | Reflect a shape against a diagonal line. | drfrostmaths.com/explorer.php?ssid=4892 | ||

82 | Secondary, Primary | Exam Practice: Translating a shape using directional language (no axes) | drfrostmaths.com/explorer.php?ssid=4200 | E82 | |

82a | Secondary, Primary | Translate a shape on a unit grid using directional language. | drfrostmaths.com/explorer.php?ssid=4893 | ||

82b | Primary, Secondary | Describe a translation on a unit grid using directional language. | drfrostmaths.com/explorer.php?ssid=4894 | ||

83 | Primary, Secondary | Exam Practice: Coordinates in the first quadrant | drfrostmaths.com/explorer.php?ssid=134 | https://www.youtube.com/embed/hTApq20qKr4 | E83 |

83a | Primary, Secondary | Plot a point to complete a square, rectangle or parallelogram in the first quadrant. | drfrostmaths.com/explorer.php?ssid=2317 | ||

83b | Primary, Secondary | Determine the coordinate of a point in the first quadrant. | drfrostmaths.com/explorer.php?ssid=857 | https://www.youtube.com/embed/XOSD1kUn6aA | K122 |

83c | Primary, Secondary | Plot a point in the first quadrant given its coordinates. | drfrostmaths.com/explorer.php?ssid=797 | https://www.youtube.com/embed/NJDDQb9MWco | K123 |

83d | Primary, Secondary | Read a point on the positive x or y axis. | drfrostmaths.com/explorer.php?ssid=1997 | ||

83e | Primary, Secondary | Plot a point on the positive x or y axis. | drfrostmaths.com/explorer.php?ssid=1970 | ||

83f | Primary, Secondary | Use a scale to find the distance between two points with the same x- or y-coordinate in the first quadrant. | drfrostmaths.com/explorer.php?ssid=4895 | ||

83g | Primary, Secondary | Use a scale to find the horizontal or vertical distance between any two points in the first quadrant. | drfrostmaths.com/explorer.php?ssid=4896 | ||

84 | Secondary, Primary | Exam Practice: Map grid references | drfrostmaths.com/explorer.php?ssid=4201 | E84 | |

84a | Secondary, Primary | Using 2 figure grid references. | drfrostmaths.com/explorer.php?ssid=4897 | ||

84b | Primary, Secondary | Using 4 figure grid references. | drfrostmaths.com/explorer.php?ssid=4898 | ||

84c | Secondary, Primary | Using 6 figure grid references. | drfrostmaths.com/explorer.php?ssid=4899 | ||

85 | Secondary, Primary | Exam Practice: Counting up and down with negative numbers | drfrostmaths.com/explorer.php?ssid=4202 | E85 | |

85a | Secondary, Primary | Count backwards through zero. | drfrostmaths.com/explorer.php?ssid=4900 | ||

85b | Secondary, Primary | Count upwards beginning at a negative number. | drfrostmaths.com/explorer.php?ssid=4901 | ||

85c | Primary, Secondary | Count backwards beginning at a negative number. | drfrostmaths.com/explorer.php?ssid=4902 | ||

85d | Secondary, Primary | Skip count backwards through zero. | drfrostmaths.com/explorer.php?ssid=4903 | ||

85e | Secondary, Primary | Skip counting beginning at a negative number. | drfrostmaths.com/explorer.php?ssid=4904 | ||

85f | Secondary, Primary | Read negative integers off a number line. | drfrostmaths.com/explorer.php?ssid=4905 | ||

85g | Secondary, Primary | Place negative integers on a number line. | drfrostmaths.com/explorer.php?ssid=4906 | ||

85h | Secondary, Primary | Read a negative number off a number line, including decimals. | drfrostmaths.com/explorer.php?ssid=1385 | https://www.youtube.com/embed/zwhOTX_pXBY | K185 |

85i | Secondary, Primary | Place a negative number on a number line, including decimals. | drfrostmaths.com/explorer.php?ssid=4907 | ||

86 | Exam Practice: Find terms of a sequence given a term-to-term rule. | drfrostmaths.com/explorer.php?ssid=77 | https://www.youtube.com/embed/CcUsuC5YmZY | E86 | |

86 | Primary, Secondary | Exam Practice: Comparing and ordering positive and negative numbers | drfrostmaths.com/explorer.php?ssid=406 | https://www.youtube.com/embed/NKidNS1AurE | E86 |

86a | DELETED Find a later term in an arithmetic sequence. | drfrostmaths.com/explorer.php?ssid=964 | K159 | ||

86a | Primary, Secondary | Compare two integers where one is negative using inequalities. | drfrostmaths.com/explorer.php?ssid=4908 | ||

86b | Primary, Secondary | Compare two integers where both are negative using inequalities. | drfrostmaths.com/explorer.php?ssid=1395 | K338 | |

86c | Primary, Secondary | Order a set of negative integers. | drfrostmaths.com/explorer.php?ssid=4909 | ||

86d | Primary, Secondary | Order a set of positive and negative integers. | drfrostmaths.com/explorer.php?ssid=902 | https://www.youtube.com/embed/RR0fROLPCQ4 | K186 |

86e | Secondary, Primary | Compare two numbers (including decimals) where at least one is negative using inequalities. | drfrostmaths.com/explorer.php?ssid=4910 | ||

86f | Secondary, Primary | Order a set of positive and negative numbers (including decimals). | drfrostmaths.com/explorer.php?ssid=4911 | ||

86g | Secondary, Primary | Recognise the absolute value of a positive or negative integer to compare their size. | drfrostmaths.com/explorer.php?ssid=4912 | ||

87 | Secondary, Primary | Exam Practice: Using negative numbers in context | drfrostmaths.com/explorer.php?ssid=570 | E87 | |

87a | Secondary, Primary | DELETED Find the difference between two temperatures. | drfrostmaths.com/explorer.php?ssid=1392 | https://www.youtube.com/embed/78wIcX3JbQg | K228 |

87a | Secondary, Primary | Read negative numbers from a thermometer. | drfrostmaths.com/explorer.php?ssid=4913 | ||

87b | Secondary, Primary | DELETED Determine a new temperature after a change. | drfrostmaths.com/explorer.php?ssid=1393 | https://www.youtube.com/embed/ZxFxP9gCcQg | K229 |

87b | Secondary, Primary | Calculate a new value after a decrease, where the original is positive and the new one is negative. | drfrostmaths.com/explorer.php?ssid=4914 | ||

87c | Secondary, Primary | Calculate a new value after an increase, where the original is negative and the new one is positive. | drfrostmaths.com/explorer.php?ssid=4915 | ||

87d | Secondary, Primary | Calculate the difference between two values where one is positive and one is negative. | drfrostmaths.com/explorer.php?ssid=4916 | ||

87e | Secondary, Primary | Calculate a new value after a decrease, where both the original and new value are negative. | drfrostmaths.com/explorer.php?ssid=4917 | ||

87f | Primary, Secondary | Calculate a new value after an increase, where both the original and new value are negative. | drfrostmaths.com/explorer.php?ssid=4918 | ||

87g | Secondary, Primary | Calculate the difference between two values where both are negative. | drfrostmaths.com/explorer.php?ssid=4919 | ||

88 | Secondary, Primary | Exam Practice: Power notation and calculate simple powers, e.g. squares, cubes | drfrostmaths.com/explorer.php?ssid=55 | https://www.youtube.com/embed/u3V9aJFkTiM | E88 |

88a | Primary, Secondary | Identify square numbers. | drfrostmaths.com/explorer.php?ssid=947 | https://www.youtube.com/embed/yv0wZ-QCgSo | K22 |

88b | Primary, Secondary | Identify cube numbers. | drfrostmaths.com/explorer.php?ssid=948 | https://www.youtube.com/embed/kj7ApsmRpbQ | K23 |

88c | Secondary, Primary | Calculate squares or cubes of a number. | drfrostmaths.com/explorer.php?ssid=605 | https://www.youtube.com/embed/D34oUmyuwPY | K18 |

89 | Primary, Secondary | Exam Practice: Completing short divisions with no remainders | drfrostmaths.com/explorer.php?ssid=329 | https://www.youtube.com/embed/qre2IGmKKAo | E89 |

89a | Secondary, Primary | Use short division to divide a two-digit integer by a single-digit integer, with an integer answer and no remainders. | drfrostmaths.com/explorer.php?ssid=4920 | ||

89b | Secondary, Primary | Use short division to divide a three-digit or four-digit integer by a single-digit integer, with an integer answer and no remainders. | drfrostmaths.com/explorer.php?ssid=624 | https://www.youtube.com/embed/S3oF6N4r1jc | K16 |

90 | Exam Practice: Extend multiplicative scaling to quantities which are inversely proportional. | drfrostmaths.com/explorer.php?ssid=354 | https://www.youtube.com/embed/Eun_y46yKUY | E90 | |

90 | Secondary, Primary | Exam Practice: Completing long divisions with no remainders | drfrostmaths.com/explorer.php?ssid=4203 | E90 | |

90a | Secondary, Primary | Use long division to divide any integer by a single-digit integer, with an integer answer and no remainders. | drfrostmaths.com/explorer.php?ssid=4921 | ||

90b | Secondary, Primary | Use long division to divide any integer by a double-digit integer, with an integer answer and no remainders. | drfrostmaths.com/explorer.php?ssid=625 | https://www.youtube.com/embed/2-udnEJkcHM | K17 |

91 | Secondary, Primary | Exam Practice: Completing divisions with remainders as integers | drfrostmaths.com/explorer.php?ssid=4204 | E91 | |

91a | Secondary, Primary | Divide a two-digit integer by a single-digit integer, with integer remainder. | drfrostmaths.com/explorer.php?ssid=4922 | ||

91b | Secondary, Primary | Divide a three-digit or four-digit integer by a single-digit integer, with integer remainder. | drfrostmaths.com/explorer.php?ssid=1639 | ||

91c | Secondary, Primary | Divide any integer by a double-digit integer, with integer remainder. | drfrostmaths.com/explorer.php?ssid=1644 | ||

91d | Secondary, Primary | Interpret integer remainders in context. | drfrostmaths.com/explorer.php?ssid=1682 | ||

92 | Primary, Secondary | Exam Practice: Completing divisions with remainders as fractions and decimals | drfrostmaths.com/explorer.php?ssid=4205 | E92 | |

92a | Secondary, Primary | Divide any integer by a single-digit integer, giving the remainder as a fraction. | drfrostmaths.com/explorer.php?ssid=1643 | ||

92b | Secondary, Primary | Divide any integer by a single-digit integer, giving the remainder as a decimal. | drfrostmaths.com/explorer.php?ssid=1641 | ||

92c | Secondary, Primary | Divide any integer by a double-digit integer, giving the remainder as a fraction. | drfrostmaths.com/explorer.php?ssid=1645 | ||

92d | Primary, Secondary | Divide any integer by a double-digit integer, giving the remainder as a decimal. | drfrostmaths.com/explorer.php?ssid=1646 | ||

92e | Secondary, Primary | Interpret fraction and decimal remainders in context. | drfrostmaths.com/explorer.php?ssid=4923 | ||

93 | Primary, Secondary | Exam Practice: Halfway between two numbers | drfrostmaths.com/explorer.php?ssid=4206 | E93 | |

93a | Secondary, Primary | Find the number halfway between two integers. | drfrostmaths.com/explorer.php?ssid=4924 | ||

93b | Secondary, Primary | Find an integer given another and their halfway point. | drfrostmaths.com/explorer.php?ssid=4925 | ||

94 | Primary, Secondary | Exam Practice: Common multiples by listing | drfrostmaths.com/explorer.php?ssid=558 | E94 | |

94a | Secondary, Primary | Identify common multiples of 2 numbers by listing. | drfrostmaths.com/explorer.php?ssid=1674 | ||

94b | Secondary, Primary | Identify common multiples of more than 2 numbers by listing. | drfrostmaths.com/explorer.php?ssid=4926 | ||

95 | Secondary, Primary | Exam Practice: Common factors by listing | drfrostmaths.com/explorer.php?ssid=559 | E95 | |

95a | Secondary, Primary | Identify common factors of 2 numbers by listing. | drfrostmaths.com/explorer.php?ssid=4927 | ||

95b | Secondary, Primary | Identify common factors of more than 2 numbers by listing. | drfrostmaths.com/explorer.php?ssid=4928 | ||

96 | Primary, Secondary | Exam Practice: Highest Common Factor and Lowest Common Multiple by listing | drfrostmaths.com/explorer.php?ssid=4207 | E96 | |

96a | Secondary, Primary | Determine the LCM of two numbers using a listing strategy. | drfrostmaths.com/explorer.php?ssid=890 | https://www.youtube.com/embed/rv6ZiR-mlXY | K219 |

96b | Primary, Secondary | Determine the LCM of more than two numbers using a listing strategy. | drfrostmaths.com/explorer.php?ssid=4929 | ||

96c | Primary, Secondary | Determine the HCF of two numbers using a listing strategy. | drfrostmaths.com/explorer.php?ssid=889 | https://www.youtube.com/embed/OSbXpoyKJUQ | K216 |

96d | Primary, Secondary | Determine the HCF of more than two numbers using a listing strategy. | drfrostmaths.com/explorer.php?ssid=4930 | ||

96e | Primary, Secondary | Use the Lowest Common Multiple in an applied setting. | drfrostmaths.com/explorer.php?ssid=4931 | ||

96f | Secondary, Primary | Use the Highest Common Factor in an applied setting. | drfrostmaths.com/explorer.php?ssid=4932 | ||

97 | Primary, Secondary | Exam Practice: Prime numbers | drfrostmaths.com/explorer.php?ssid=29 | https://www.youtube.com/embed/kiJPCy3kqq4 | E97 |

97a | Primary, Secondary | DELETED Identify prime numbers. | drfrostmaths.com/explorer.php?ssid=1364 | https://www.youtube.com/embed/9_L9aKzenrE | K61 |

97a | Primary, Secondary | Determine whether a number is prime, up to 20. | drfrostmaths.com/explorer.php?ssid=4933 | ||

97b | Secondary, Primary | Determine whether a number if prime, up to 100. | drfrostmaths.com/explorer.php?ssid=4934 | ||

97c | Secondary, Primary | List prime numbers in a range or prime numbers in sequence after a stated prime. | drfrostmaths.com/explorer.php?ssid=4935 | ||

97d | Primary, Secondary | Determine whether a given number is prime, even/odd, square and cube. | drfrostmaths.com/explorer.php?ssid=4936 | ||

97e | Primary, Secondary | Use the sieve of Eratosthenes to determine the list of all primes up to a given number. | drfrostmaths.com/explorer.php?ssid=4937 | ||

98 | Primary, Secondary | Exam Practice: Fractional equivalence using factors and multiples | drfrostmaths.com/explorer.php?ssid=4208 | E98 | |

98a | Secondary, Primary | Find an equivalent fraction through multiplication of the numerator and denominator. | drfrostmaths.com/explorer.php?ssid=963 | https://www.youtube.com/embed/ibZoRXljTq8 | K46 |

98b | Primary, Secondary | Find an equivalent fraction through division of the numerator and denominator. | drfrostmaths.com/explorer.php?ssid=4938 | ||

98c | Secondary, Primary | Determine if fractions are equivalent. | drfrostmaths.com/explorer.php?ssid=4939 | ||

98d | Primary, Secondary | Write a fraction in simplest form. | drfrostmaths.com/explorer.php?ssid=596 | https://www.youtube.com/embed/5HKxLyrdc6c | K47 |

98e | Secondary, Primary | Determine if a fraction is written in simplest form. | drfrostmaths.com/explorer.php?ssid=4940 | ||

98f | Secondary, Primary | Write a proportion as a fraction in its simplest form. | drfrostmaths.com/explorer.php?ssid=954 | https://www.youtube.com/embed/003ZdHgJ54k | K48 |

98g | Secondary, Primary | Calculate what fraction a number is of another, in simplest form. | drfrostmaths.com/explorer.php?ssid=1467 | K704 | |

98h | Secondary, Primary | Interpret values from a graph or table and give the result as a fraction in simplest form. | drfrostmaths.com/explorer.php?ssid=4941 | ||

99 | Secondary, Primary | Exam Practice: Comparing and ordering fractions where the denominators are multiples of each other | drfrostmaths.com/explorer.php?ssid=4209 | E99 | |

99a | Secondary, Primary | Compare two fractions where denominators are multiples of each other using inequalities. | drfrostmaths.com/explorer.php?ssid=4942 | ||

99b | Primary, Secondary | Order fractions where denominators are multiples of each other. | drfrostmaths.com/explorer.php?ssid=4943 | ||

100 | Secondary, Primary | Exam Practice: Adding and subtracting fractions where the denominators are multiples of each other | drfrostmaths.com/explorer.php?ssid=4210 | E100 | |

100a | Primary, Secondary | Add fractions with different denominators where one fraction needs changing. | drfrostmaths.com/explorer.php?ssid=1483 | https://www.youtube.com/embed/yGrj8867rAc | K705 |

100b | Secondary, Primary | Subtract fractions with different denominators where one fraction needs changing. | drfrostmaths.com/explorer.php?ssid=4944 | ||

101 | Secondary, Primary | Exam Practice: Converting between mixed numbers and improper fractions | drfrostmaths.com/explorer.php?ssid=23 | https://www.youtube.com/embed/iaEkkoUhWqk | E101 |

101a | Secondary, Primary | Write an improper fraction as a mixed number. | drfrostmaths.com/explorer.php?ssid=601 | https://www.youtube.com/embed/W6261sjDu_w | K171 |

101b | Primary, Secondary | Write a mixed number as an improper fraction. | drfrostmaths.com/explorer.php?ssid=602 | https://www.youtube.com/embed/y0EBOCG36D4 | K172 |

101c | Primary, Secondary | Compare mixed numbers and fractions with the same denominator using inequality symbols. | drfrostmaths.com/explorer.php?ssid=4945 | ||

101d | Primary, Secondary | Order mixed numbers and fractions with the same denominator. | drfrostmaths.com/explorer.php?ssid=4946 | ||

101e | Secondary, Primary | Compare mixed numbers and fractions where one denominator is a multiple of the another using inequality symbols. | drfrostmaths.com/explorer.php?ssid=4947 | ||

101f | Secondary, Primary | Order mixed numbers and fractions where one denominator is a multiple of the another. | drfrostmaths.com/explorer.php?ssid=4948 | ||

102 | Secondary, Primary | Exam Practice: Adding and subtracting mixed numbers with the same denominator | drfrostmaths.com/explorer.php?ssid=4211 | E102 | |

102a | Secondary, Primary | Add proper fractions with the same denominators, expressing the answer as a mixed number. | drfrostmaths.com/explorer.php?ssid=4949 | ||

102b | Secondary, Primary | Add mixed numbers with the same denominators, leading to a remainder less than 1. | drfrostmaths.com/explorer.php?ssid=4950 | ||

102c | Primary, Secondary | Subtract mixed numbers with the same denominators, leading to a positive remainder. | drfrostmaths.com/explorer.php?ssid=4951 | ||

102d | Secondary, Primary | Add and subtract mixed numbers with the same denominators. | drfrostmaths.com/explorer.php?ssid=4952 | ||

103 | Secondary, Primary | Exam Practice: Adding and subtracting mixed numbers where one denominator is a multiple of another | drfrostmaths.com/explorer.php?ssid=4212 | E103 | |

103a | Secondary, Primary | Add proper fractions where one denominator is a multiple of another, expressing the answer as a mixed number. | drfrostmaths.com/explorer.php?ssid=4953 | ||

103b | Secondary, Primary | Add mixed numbers where one denominator is a multiple of another, leading to a remainder less than 1. | drfrostmaths.com/explorer.php?ssid=4954 | ||

103c | Secondary, Primary | Subtract mixed numbers where one denominator is a multiple of another, leading to a positive remainder. | drfrostmaths.com/explorer.php?ssid=4955 | ||

103d | Secondary, Primary | Add and subtract mixed numbers where one denominator is a multiple of another. | drfrostmaths.com/explorer.php?ssid=4956 | ||

104 | Primary, Secondary | Exam Practice: Basic fraction and decimal equivalence | drfrostmaths.com/explorer.php?ssid=4213 | E104 | |

104a | Primary, Secondary | Recognise decimal equivalents for a whole, half, a quarter and three quarters. | drfrostmaths.com/explorer.php?ssid=4957 | ||

104b | Primary, Secondary | Determine decimal equivalents for tenths. | drfrostmaths.com/explorer.php?ssid=4958 | ||

104c | Secondary, Primary | Determine decimal equivalents for fifths. | drfrostmaths.com/explorer.php?ssid=4959 | ||

104d | Secondary, Primary | Determine decimal equivalents for fractions with denominators that are factors of 100. | drfrostmaths.com/explorer.php?ssid=4960 | ||

104e | Primary, Secondary | Determine decimal equivalents for fractions with denominators that are multiples of 100. | drfrostmaths.com/explorer.php?ssid=4961 | ||

104f | Primary, Secondary | Determine fraction equivalents for decimals, where the denominators are factors and multiples of 100. | drfrostmaths.com/explorer.php?ssid=4962 | ||

105 | Secondary, Primary | Exam Practice: Percentages as values out of 100 and converting between fractions and percentages | drfrostmaths.com/explorer.php?ssid=4214 | E105 | |

105a | Primary, Secondary | Convert between percentages and fractions with denominator of 100. | drfrostmaths.com/explorer.php?ssid=4963 | ||

105b | Primary, Secondary | Recognise percentage equivalents for a whole, half, a quarter and three quarters. | drfrostmaths.com/explorer.php?ssid=4964 | ||

105c | Primary, Secondary | Determine percentage equivalents for fifths. | drfrostmaths.com/explorer.php?ssid=4965 | ||

105d | Primary, Secondary | Determine percentage equivalents for fractions with denominators that are factors of 100. | drfrostmaths.com/explorer.php?ssid=4966 | ||

105e | Secondary, Primary | Determine percentage equivalents for fractions with denominators that are multiples of 100. | drfrostmaths.com/explorer.php?ssid=4967 | ||

105f | Secondary, Primary | Determine fraction equivalents for percentages, where the denominators are factors and multiples of 100. | drfrostmaths.com/explorer.php?ssid=4968 | ||

106 | Secondary, Primary | Exam Practice: Basic percentage and decimal equivalence | drfrostmaths.com/explorer.php?ssid=4215 | E106 | |

106a | Secondary, Primary | Convert a percentage up to 100% to a decimal with up to 2 decimal places. | drfrostmaths.com/explorer.php?ssid=643 | https://www.youtube.com/embed/wMMmm9Mdznw | K56 |

106b | Secondary, Primary | Convert a decimal with 1 decimal place to a percentage. | drfrostmaths.com/explorer.php?ssid=642 | https://www.youtube.com/embed/BdNm1tn9rvk | K55 |

106c | Primary, Secondary | Convert a decimal with 2 decimal places to a percentage. | drfrostmaths.com/explorer.php?ssid=4969 | ||

107 | Secondary, Primary | Exam Practice: Converting between metric units of measure | drfrostmaths.com/explorer.php?ssid=153 | E107 | |

107a | Secondary, Primary | Convert metric units of length from smaller units to bigger units. | drfrostmaths.com/explorer.php?ssid=708 | https://www.youtube.com/embed/6C948JCQguc | K127 |

107b | Secondary, Primary | Convert metric units of length from bigger units to smaller units. | drfrostmaths.com/explorer.php?ssid=709 | https://www.youtube.com/embed/ccEETbyIpS4 | K128 |

107c | Secondary, Primary | Convert units of mass by multiplying. | drfrostmaths.com/explorer.php?ssid=1354 | https://www.youtube.com/embed/T1qnGgqxJ5o | K130 |

107d | Primary, Secondary | Convert units of mass by dividing. | drfrostmaths.com/explorer.php?ssid=1355 | https://www.youtube.com/embed/FcRa8Q0o1tU | K131 |

107e | Secondary, Primary | Convert units of capacity by multiplying. | drfrostmaths.com/explorer.php?ssid=1356 | https://www.youtube.com/embed/DkE_yXtngUM | K132 |

107f | Secondary, Primary | Convert units of capacity by dividing. | drfrostmaths.com/explorer.php?ssid=1357 | https://www.youtube.com/embed/9Hh9zVNOf1Y | K133 |

107g | Secondary, Primary | Compare and order measurements in different metric units where conversion is required. | drfrostmaths.com/explorer.php?ssid=4970 | ||

107h | Secondary, Primary | Calculate with metric measures of length, which may require conversion. | drfrostmaths.com/explorer.php?ssid=1373 | https://www.youtube.com/embed/IlbFK1Er7yc | K129 |

108 | Primary, Secondary | Exam Practice: Equivalence of metric and imperial units (inches, pints, pounds and miles) | drfrostmaths.com/explorer.php?ssid=381 | https://www.youtube.com/embed/DClfLfRIV0M | E108 |

108a | Secondary, Primary | DELETED Convert between imperial and metric measures of distance. | drfrostmaths.com/explorer.php?ssid=1374 | https://www.youtube.com/embed/1x0RSJI8GEA | K328 |

108a | Primary, Secondary | Identify imperial units of capacity, mass and length. | drfrostmaths.com/explorer.php?ssid=4971 | ||

108b | Secondary, Primary | DELETED Convert between imperial and metric measures of capacity. | drfrostmaths.com/explorer.php?ssid=1456 | K330 | |

108b | Secondary, Primary | Choose an appropriate imperial unit for real-life measurements. | drfrostmaths.com/explorer.php?ssid=4972 | ||

108c | Primary, Secondary | DELETED TODO Convert between imperial measures. | drfrostmaths.com/explorer.php?ssid=1459 | K331 | |

108c | Secondary, Primary | Convert between miles and kilometres or between feet and centimetres. | drfrostmaths.com/explorer.php?ssid=4973 | ||

108d | Primary, Secondary | DELETED TODO Convert between imperial and metric measures of mass. | drfrostmaths.com/explorer.php?ssid=1474 | K329 | |

108d | Primary, Secondary | Convert between pounds and kilograms. | drfrostmaths.com/explorer.php?ssid=4974 | ||

108e | Primary, Secondary | Convert between litres and pints and between litres and gallons. | drfrostmaths.com/explorer.php?ssid=4975 | ||

108f | Primary, Secondary | Make calculations involving a conversion between two imperial measures and between imperial and metric. | drfrostmaths.com/explorer.php?ssid=4976 | ||

108g | Secondary, Primary | Make further calculations, for example involving cost, after a conversion between metric and imperial units. | drfrostmaths.com/explorer.php?ssid=4977 | ||

108h | Secondary, Primary | Convert time between hours and minutes and hours in decimalised form. | drfrostmaths.com/explorer.php?ssid=4978 | ||

109 | Primary, Secondary | Exam Practice: Measuring and drawing non-reflex angles in degrees with a protractor | drfrostmaths.com/explorer.php?ssid=580 | E109 | |

109a | Secondary, Primary | Measure a non-reflex angle with a protractor. | drfrostmaths.com/explorer.php?ssid=1117 | K105 | |

109b | Secondary, Primary | Draw a non-reflex angle with a protractor. | drfrostmaths.com/explorer.php?ssid=1118 | K106 | |

110 | Primary, Secondary | Exam Practice: Sum of the angles on a straight line and angles around a point | drfrostmaths.com/explorer.php?ssid=119 | https://www.youtube.com/embed/xngyacmFs5k | E110 |

110a | Secondary, Primary | Know the properties of angles on a straight line. | drfrostmaths.com/explorer.php?ssid=656 | https://www.youtube.com/embed/O_6MpMdtPZY | K103 |

110b | Secondary, Primary | Know the properties of angles about a point. | drfrostmaths.com/explorer.php?ssid=657 | https://www.youtube.com/embed/Hx-XCxwCxd0 | K104 |

111 | Secondary, Primary | Exam Practice: Measuring and drawing reflex angles in degrees with a protractor | drfrostmaths.com/explorer.php?ssid=4216 | E111 | |

111a | Secondary, Primary | Determine the size of a reflex angle by measuring the conjugate angle with a protractor. | drfrostmaths.com/explorer.php?ssid=4979 | ||

111b | Secondary, Primary | Draw a reflex angle by drawing its conjugate with a protractor. | drfrostmaths.com/explorer.php?ssid=4980 | ||

112 | Secondary, Primary | Exam Practice: Estimating the size of an angle | drfrostmaths.com/explorer.php?ssid=4217 | E112 | |

112a | Secondary, Primary | Estimate the size of a non-reflex angle. | drfrostmaths.com/explorer.php?ssid=1285 | https://www.youtube.com/embed/WC2UzzL_vCI | K101 |

112b | Primary, Secondary | Estimate the size of a reflex angle. | drfrostmaths.com/explorer.php?ssid=4981 | ||

113 | Secondary, Primary | Exam Practice: Reading and using timetables and distance charts | drfrostmaths.com/explorer.php?ssid=146 | E113 | |

113a | Secondary, Primary | Find a time using a timetable. | drfrostmaths.com/explorer.php?ssid=1430 | K86 | |

113b | Secondary, Primary | Make calculations from bus/train timetables. | drfrostmaths.com/explorer.php?ssid=1453 | K87 | |

113c | Primary, Secondary | Read and interpret a distance chart. | drfrostmaths.com/explorer.php?ssid=1460 | K88 | |

113d | Secondary, Primary | Make calculations from a distance chart. | drfrostmaths.com/explorer.php?ssid=1732 | ||

114 | Secondary, Primary | Exam Practice: Interpreting and presenting data in simple graphs | drfrostmaths.com/explorer.php?ssid=557 | E114 | |

114a | Secondary, Primary | Interpret a line graph. | drfrostmaths.com/explorer.php?ssid=4982 | ||

114b | Secondary, Primary | Interpret a scatter graph. | drfrostmaths.com/explorer.php?ssid=4983 | ||

114c | Secondary, Primary | Interpret a time graph. | drfrostmaths.com/explorer.php?ssid=4984 | ||

114d | Secondary, Primary | Interpret other simple graphical representations. | drfrostmaths.com/explorer.php?ssid=8334 | ||

115 | Secondary, Primary | Exam Practice: Order of operations (no powers and roots) | drfrostmaths.com/explorer.php?ssid=108 | https://www.youtube.com/embed/XQfDJqhCiFw | E115 |

115a | Secondary, Primary | Evaluate calculations with two operations. | drfrostmaths.com/explorer.php?ssid=773 | https://www.youtube.com/embed/ucdu7vBmZRo | K193 |

115b | Secondary, Primary | Evaluate calculations with three operations. | drfrostmaths.com/explorer.php?ssid=1028 | https://www.youtube.com/embed/I6XHvED8b7E | K194 |

115c | Secondary, Primary | Evaluate calculations with brackets and at least 3 operations. | drfrostmaths.com/explorer.php?ssid=1029 | https://www.youtube.com/embed/OSF0rmTM2q0 | K195 |

115d | Secondary, Primary | Add brackets to the expressions to make a target value. | drfrostmaths.com/explorer.php?ssid=4985 | ||

116 | Secondary, Primary | Exam Practice: Comparing and ordering fractions with different denominators. | drfrostmaths.com/explorer.php?ssid=4218 | E116 | |

116a | Secondary, Primary | Compare two fractions with different denominators using inequalities. | drfrostmaths.com/explorer.php?ssid=4986 | ||

116b | Primary, Secondary | Order fractions where denominators are different. | drfrostmaths.com/explorer.php?ssid=4987 | ||

116c | Primary, Secondary | Compare mixed numbers and fractions with different denominators, including improper, using inequalities. | drfrostmaths.com/explorer.php?ssid=8293 | ||

116d | Primary, Secondary | Order mixed numbers and fractions with different denominators, including improper. | drfrostmaths.com/explorer.php?ssid=8294 | ||

117 | Primary, Secondary | Exam Practice: Adding and subtracting fractions with any denominator | drfrostmaths.com/explorer.php?ssid=4219 | E117 | |

117a | Primary, Secondary | Add or subtract fractions with different denominators. | drfrostmaths.com/explorer.php?ssid=595 | https://www.youtube.com/embed/KNoP3qhGqnc | K170 |

117b | Secondary, Primary | Determine the remaining fraction given other proportions of the whole. | drfrostmaths.com/explorer.php?ssid=4988 | ||

118 | Secondary, Primary | Exam Practice: Adding and subtracting mixed numbers with different denominators | drfrostmaths.com/explorer.php?ssid=19 | https://www.youtube.com/embed/cNEYdIz4MvM | E118 |

118 | Exam Practice: Determine the number of factors of a number using its prime factorisation. | drfrostmaths.com/explorer.php?ssid=32 | E118 | ||

118a | Secondary, Primary | Add proper fractions with different denominators, expressing the answer as a mixed number. | drfrostmaths.com/explorer.php?ssid=4989 | ||

118b | Secondary, Primary | Add mixed numbers with different denominators, leading to a remainder less than 1. | drfrostmaths.com/explorer.php?ssid=1868 | ||

118c | Secondary, Primary | Subtract mixed numbers with different denominators, leading to a positive remainder. | drfrostmaths.com/explorer.php?ssid=1883 | ||

118d | Secondary, Primary | Add and subtract mixed numbers with different denominators. | drfrostmaths.com/explorer.php?ssid=600 | https://www.youtube.com/embed/lgNc3O8NUGE | K178 |

119 | Secondary, Primary | Exam Practice: Multiplying fractions and mixed numbers by an integer | drfrostmaths.com/explorer.php?ssid=4220 | E119 | |

119a | Primary, Secondary | Multiply a fraction by an integer. | drfrostmaths.com/explorer.php?ssid=1366 | https://www.youtube.com/embed/KADWfYU8yFE | K174 |

119b | Primary, Secondary | Multiply a mixed number by an integer. | drfrostmaths.com/explorer.php?ssid=1367 | https://www.youtube.com/embed/q-IqrpEgGXo | K181 |

120 | Primary, Secondary | Exam Practice: Multiplying proper fractions with no simplifying | drfrostmaths.com/explorer.php?ssid=4221 | E120 | |

120a | Secondary, Primary | Multiply a fraction by a fraction with no simplification required. | drfrostmaths.com/explorer.php?ssid=4990 | ||

120b | Secondary, Primary | Square a fraction. | drfrostmaths.com/explorer.php?ssid=4991 | ||

121 | Exam Practice: Reason about remainders, including even/oddness. | drfrostmaths.com/explorer.php?ssid=375 | E121 | ||

121 | Secondary, Primary | Exam Practice: Dividing fractions by integers | drfrostmaths.com/explorer.php?ssid=562 | E121 | |

121a | Secondary, Primary | Divide a fraction by an integer. | drfrostmaths.com/explorer.php?ssid=1368 | https://www.youtube.com/embed/_oqPYMWrREY | K176 |

121b | Secondary, Primary | Divide a mixed number by an integer. | drfrostmaths.com/explorer.php?ssid=4992 | ||

121c | Primary, Secondary | Find the number halfway between two fractions. | drfrostmaths.com/explorer.php?ssid=4993 | ||

121d | Secondary, Primary | Find a fraction given another fraction and their halfway point. | drfrostmaths.com/explorer.php?ssid=4994 | ||

122 | Primary, Secondary | Exam Practice: Multiplying a decimal (up to 2dp) by an integer | drfrostmaths.com/explorer.php?ssid=560 | E122 | |

122a | Primary, Secondary | Multiply a decimal by an integer. | drfrostmaths.com/explorer.php?ssid=1196 | https://www.youtube.com/embed/k6DxDIgBg0E | K33 |

123 | Primary, Secondary | Exam Practice: Multiplying decimal numbers | drfrostmaths.com/explorer.php?ssid=38 | https://www.youtube.com/embed/-nIljKtJiT4 | E123 |

123a | Primary, Secondary | Multiply decimals by 0.1, 0.01, and 0.001. | drfrostmaths.com/explorer.php?ssid=618 | https://www.youtube.com/embed/3977zwOIqPM | K37 |

123b | Primary, Secondary | Multiply decimals using mental methods. | drfrostmaths.com/explorer.php?ssid=1497 | K708 | |

123c | Primary, Secondary | Multiply a decimal by a decimal (up to 1dp \times 1dp) | drfrostmaths.com/explorer.php?ssid=2178 | ||

123d | Primary, Secondary | Multiply a decimal by a decimal (up to 2dp \times 2dp) | drfrostmaths.com/explorer.php?ssid=1197 | https://www.youtube.com/embed/8Ww3lJDytAc | K34 |

123e | Primary, Secondary | Calculate a multiplication using a given fact involving decimals. | drfrostmaths.com/explorer.php?ssid=1365 | https://www.youtube.com/embed/S8IvAcW9XU0 | K39 |

124 | Secondary, Primary | Exam Practice: Dividing a decimal (up to 2dp) by an integer | drfrostmaths.com/explorer.php?ssid=561 | E124 | |

124a | Secondary, Primary | Divide a decimal by a single-digit integer. | drfrostmaths.com/explorer.php?ssid=1337 | https://www.youtube.com/embed/oTCTnOVs4vY | K35 |

124b | Secondary, Primary | Divide a decimal with up to 2 decimal places by a single-digit integer, giving the remainder as a decimal. | drfrostmaths.com/explorer.php?ssid=4995 | ||

124c | Secondary, Primary | Find the number halfway between two decimals. | drfrostmaths.com/explorer.php?ssid=4996 | ||

124d | Secondary, Primary | Find a number given a decimal and their halfway point. | drfrostmaths.com/explorer.php?ssid=4997 | ||

125 | Secondary, Primary | Exam Practice: Dividing decimal numbers | drfrostmaths.com/explorer.php?ssid=39 | https://www.youtube.com/embed/AYjkIDSf640 | E125 |

125a | Secondary, Primary | Dividing decimals by 0.1, 0.01, and 0.001. | drfrostmaths.com/explorer.php?ssid=619 | https://www.youtube.com/embed/GZZStSfeY7s | K38 |

125b | Secondary, Primary | Divide a decimal by a decimal using mental methods. | drfrostmaths.com/explorer.php?ssid=4998 | ||

125c | Secondary, Primary | Divide a decimal by a decimal using a written method. | drfrostmaths.com/explorer.php?ssid=1348 | https://www.youtube.com/embed/W_U9Pu2KD0A | K36 |

125d | Secondary, Primary | Calculate a division using a given factor involving decimals. | drfrostmaths.com/explorer.php?ssid=4999 | ||

126 | Secondary, Primary | Exam Practice: Worded problems with all four arithmetic operations and decimals, excluding money | drfrostmaths.com/explorer.php?ssid=4222 | E126 | |

126a | Primary, Secondary | Solve an arithmetic worded problem involving addition or subtraction, including decimals. | drfrostmaths.com/explorer.php?ssid=5000 | ||

126b | Primary, Secondary | Solve an arithmetic worded problem involving multiplication or division, including decimals. | drfrostmaths.com/explorer.php?ssid=5001 | ||

126c | Primary, Secondary | Solve an arithmetic worded problem involving two-steps of addition or subtraction, including decimals. | drfrostmaths.com/explorer.php?ssid=5002 | ||

126d | Secondary, Primary | Solve an arithmetic worded problem involving two-steps of multiplication or division, including decimals. | drfrostmaths.com/explorer.php?ssid=5003 | ||

126e | Secondary, Primary | Solve an arithmetic worded problem involving two-steps, one addition/subtraction and the other multiplication, including decimals. | drfrostmaths.com/explorer.php?ssid=5004 | ||

126f | Primary, Secondary | Solve an arithmetic worded problem involving two-steps, one addition/subtraction and the other division, including decimals. | drfrostmaths.com/explorer.php?ssid=5005 | ||

127 | Primary, Secondary | Exam Practice: Calculating with money in decimal notation (GBP/EUR/USD) | drfrostmaths.com/explorer.php?ssid=4223 | E127 | |

127a | Primary, Secondary | Calculate the total cost given the cost of each item. | drfrostmaths.com/explorer.php?ssid=5006 | ||

127b | Secondary, Primary | Calculate the cost of each item given the total cost. | drfrostmaths.com/explorer.php?ssid=5007 | ||

127c | Secondary, Primary | Determine how many items can be bought for a total amount using mental methods. | drfrostmaths.com/explorer.php?ssid=5008 | ||

127d | Secondary, Primary | Determine how many items can be bought for a total amount by division. | drfrostmaths.com/explorer.php?ssid=5009 | ||

127e | Primary, Secondary | Calculate the total cost of multiple items and divide it equally. | drfrostmaths.com/explorer.php?ssid=5010 | ||

127f | Primary, Secondary | Determine the amount per item of one type given the total amount spent and the remaining cost. | drfrostmaths.com/explorer.php?ssid=5011 | ||

127g | Primary, Secondary | Determine the amount per item of one type given the total amount spent and cost of items of the other types. | drfrostmaths.com/explorer.php?ssid=5012 | ||

128 | Secondary, Primary | Exam Practice: Multiplicative scaling with integer scale factors and ratio notation | drfrostmaths.com/explorer.php?ssid=4224 | E128 | |

128a | Secondary, Primary | Solve problems using 'for every' or similar language using rated addition. | drfrostmaths.com/explorer.php?ssid=5013 | ||

128b | Secondary, Primary | Solve problems using 'for every' or similar language using multiplication. | drfrostmaths.com/explorer.php?ssid=5014 | ||

128c | Secondary, Primary | Write unequal shares in ratio notation from a diagram (no simplifying). | drfrostmaths.com/explorer.php?ssid=5015 | ||

128d | Secondary, Primary | Write unequal shares in ratio notation (no simplifying) | drfrostmaths.com/explorer.php?ssid=5016 | ||

128e | Primary, Secondary | Solve problems involving unequal shares written in ratio notation using rated addition. | drfrostmaths.com/explorer.php?ssid=5017 | ||

128f | Secondary, Primary | Solve problems involving unequal shares written in ratio notation using multiplication. | drfrostmaths.com/explorer.php?ssid=5018 | ||

128g | Secondary, Primary | Calculate lengths based on a proportional relationship. | drfrostmaths.com/explorer.php?ssid=5019 | ||

128h | Secondary, Primary | Scale recipes with integer scale factors. | drfrostmaths.com/explorer.php?ssid=5020 | ||

128i | Secondary, Primary | Calculate cost using multiplicative reasoning. | drfrostmaths.com/explorer.php?ssid=5021 | ||

129 | Secondary, Primary | Exam Practice: Similar shapes with integer scale factors | drfrostmaths.com/explorer.php?ssid=4225 | E129 | |

129a | Primary, Secondary | Represent the relationship between two lengths in similar shapes in ratio notation. | drfrostmaths.com/explorer.php?ssid=5022 | ||

129b | Secondary, Primary | Calculate a missing length on a similar shape using an integer scale factor. | drfrostmaths.com/explorer.php?ssid=5023 | ||

129c | Secondary, Primary | Calculate the integer scale factor between two similar shapes. | drfrostmaths.com/explorer.php?ssid=5024 | ||

130 | Primary, Secondary | Exam Practice: Calculating a simple percentage of an amount, using chunking | drfrostmaths.com/explorer.php?ssid=51 | https://www.youtube.com/embed/m6iDDrIeRZ4 | E130 |

130a | Secondary, Primary | Calculate the percentage of an amount without a calculator, using chunking with multiples of 10%. | drfrostmaths.com/explorer.php?ssid=833 | https://www.youtube.com/embed/CMC6D87uK4I | K209 |

130b | Primary, Secondary | Calculate the percentage of an amount without a calculator, using chunking with multiples of 5%. | drfrostmaths.com/explorer.php?ssid=1601 | ||

130c | Primary, Secondary | Calculate the percentage of an amount without a calculator using 1% chunks. | drfrostmaths.com/explorer.php?ssid=1850 | ||

130d | Primary, Secondary | Combine different percentages of amounts or find a remaining amount. | drfrostmaths.com/explorer.php?ssid=5025 | ||

130e | Primary, Secondary | Solve problems involving a fraction of an amount and a simple percentage of an amount. | drfrostmaths.com/explorer.php?ssid=5026 | ||

131 | Primary, Secondary | Exam Practice: Pie charts with simple fractions and percentages | drfrostmaths.com/explorer.php?ssid=4226 | E131 | |

131a | Primary, Secondary | Make simple statements about a given pie chart. | drfrostmaths.com/explorer.php?ssid=5027 | ||

131b | Primary, Secondary | Determine the fraction represented by a sector of a pie chart, where it it split into equal sectors. | drfrostmaths.com/explorer.php?ssid=5028 | ||

131c | Secondary, Primary | Interpret the frequency of a sector in a pie chart, where it is split into equal sectors. | drfrostmaths.com/explorer.php?ssid=5029 | ||

131d | Primary, Secondary | Draw pie charts, where it is split into equal sectors. | drfrostmaths.com/explorer.php?ssid=5030 | ||

131e | Primary, Secondary | Determine the fraction represented by a sector of a pie chart, using a protractor to measure the sector angles (factors of 360). | drfrostmaths.com/explorer.php?ssid=5031 | ||

131f | Secondary, Primary | Interpret the frequency represented a sector in a pie chart, using a protractor to measure the sector angles (factors of 360). | drfrostmaths.com/explorer.php?ssid=5032 | ||

131g | Secondary, Primary | Determine the angle for a sector of a pie chart, where the total is a factor or multiple of 360. | drfrostmaths.com/explorer.php?ssid=5033 | ||

131h | Secondary, Primary | Determine the percentage represented by a sector of a pie chart, given angle measures (factors of 360). | drfrostmaths.com/explorer.php?ssid=5034 | ||

131i | Primary, Secondary | Interpret the frequency represented a sector in a pie chart, using percentages. | drfrostmaths.com/explorer.php?ssid=5035 | ||

131j | Primary, Secondary | Compare sectors of two pie charts, given the fraction or percentage of the sector and a total. | drfrostmaths.com/explorer.php?ssid=5036 | ||

132 | Primary, Secondary | Exam Practice: Mean as an average | drfrostmaths.com/explorer.php?ssid=567 | E132 | |

132a | Secondary, Primary | Calculate the mean of listed data. | drfrostmaths.com/explorer.php?ssid=666 | https://www.youtube.com/embed/csbfXQk4Jrk | K236 |

132b | Secondary, Primary | Determine the total given the mean of a set of data and the total number of data points. | drfrostmaths.com/explorer.php?ssid=5037 | ||

132c | Secondary, Primary | Determine a missing number from a list given the mean. | drfrostmaths.com/explorer.php?ssid=5038 | ||

133 | Secondary, Primary | Exam Practice: Function machines | drfrostmaths.com/explorer.php?ssid=410 | https://www.youtube.com/embed/ztobXGrpdyQ | E133 |

133 | Exam Practice: Determine the range, mode or modal class interval from a frequency table. | drfrostmaths.com/explorer.php?ssid=417 | https://www.youtube.com/embed/fKUEEoCbS9E | E133 | |

133a | Secondary, Primary | Calculate the output of a function machine. | drfrostmaths.com/explorer.php?ssid=759 | https://www.youtube.com/embed/B_Dxabn5OPg | K365 |

133b | Secondary, Primary | Calculate the input of a function machine. | drfrostmaths.com/explorer.php?ssid=760 | https://www.youtube.com/embed/II6y-pFdgRc | K366 |

133c | Secondary, Primary | Determine a missing operation in a function machine. | drfrostmaths.com/explorer.php?ssid=2224 | ||

133f | Secondary, Primary | DELETED DECOMMISIONED Find the input of a function, given the output. | drfrostmaths.com/explorer.php?ssid=1072 | https://www.youtube.com/embed/615iP8Lva84 | K591 |

134 | Primary, Secondary | Exam Practice: Algebraic thinking | drfrostmaths.com/explorer.php?ssid=373 | E134 | |

134 | Exam Practice: Determine the median or median class interval from a frequency table. | drfrostmaths.com/explorer.php?ssid=418 | https://www.youtube.com/embed/X3kzCWmDWAc | E134 | |

134a | Primary, Secondary | Determine possible values for items given some constraints (no algebraic notation). | drfrostmaths.com/explorer.php?ssid=5039 | ||

134b | Secondary, Primary | Determine possible values for items given a relationship between them (no algebraic notation). | drfrostmaths.com/explorer.php?ssid=5040 | ||

134c | DELETED Estimate the median from a grouped frequency table. | drfrostmaths.com/explorer.php?ssid=1438 | K627 | ||

134c | Primary, Secondary | Determine possible values of variables given some constraints (with algebraic notation). | drfrostmaths.com/explorer.php?ssid=5041 | ||

134d | Primary, Secondary | Determine possible values of variables given a relationship (with algebraic notation). | drfrostmaths.com/explorer.php?ssid=5042 | ||

134e | Primary, Secondary | Determine missing numbers in a 3\times3 magic square. | drfrostmaths.com/explorer.php?ssid=5043 | ||

134f | Primary, Secondary | Work out missing numbers in a structure with overlapping lines. | drfrostmaths.com/explorer.php?ssid=5044 | ||

135 | Secondary, Primary | Exam Practice: Introduction to sequences | drfrostmaths.com/explorer.php?ssid=4227 | E135 | |

135a | Secondary, Primary | Describe patterns with 2D shapes. | drfrostmaths.com/explorer.php?ssid=5045 | ||

135b | Secondary, Primary | Complete patterns with 2D shapes. | drfrostmaths.com/explorer.php?ssid=5046 | ||

135c | Secondary, Primary | Describe a given number pattern. | drfrostmaths.com/explorer.php?ssid=5047 | ||

135d | Secondary, Primary | Continue a given number pattern. | drfrostmaths.com/explorer.php?ssid=5048 | ||

136 | Secondary, Primary | Exam Practice: Basic substitution with positive integers (limited to addition, subtraction, division and multiplication) | drfrostmaths.com/explorer.php?ssid=568 | E136 | |

136a | Primary, Secondary | Substitute positive integers into expressions with one variable (single operation). | drfrostmaths.com/explorer.php?ssid=706 | https://www.youtube.com/embed/pV8wWhLq1hU | K136 |

136b | Primary, Secondary | Substitute positive integers into expressions with one variable (single operation plus constant). | drfrostmaths.com/explorer.php?ssid=1302 | https://www.youtube.com/embed/F472MujeUl4 | K137 |

136c | Primary, Secondary | Substitute positive integers into simple expressions with more than one variable. | drfrostmaths.com/explorer.php?ssid=5049 | ||

136d | Primary, Secondary | Substitute positive integers into a simple worded formula. | drfrostmaths.com/explorer.php?ssid=5050 | ||

136e | Secondary, Primary | Determine the value of a variable given an equation and the value of one variable within it. | drfrostmaths.com/explorer.php?ssid=5051 | ||

137 | Primary, Secondary | Exam Practice: Drawing 2D shapes to scale given dimensions and angles | drfrostmaths.com/explorer.php?ssid=4228 | E137 | |

137a | Primary, Secondary | Draw a rectangle or square given the side lengths using a ruler. | drfrostmaths.com/explorer.php?ssid=5052 | ||

137b | Secondary, Primary | Draw a square or rectangle given its perimeter. | drfrostmaths.com/explorer.php?ssid=5053 | ||

137c | Secondary, Primary | Draw a triangle given the side lengths and angles, using a ruler and protractor. | drfrostmaths.com/explorer.php?ssid=5054 | ||

137d | Secondary, Primary | Draw a regular polygon given its side lengths and the angle between them. | drfrostmaths.com/explorer.php?ssid=5055 | ||

138 | Primary, Secondary | Exam Practice: Area of a rectangle by using the formula | drfrostmaths.com/explorer.php?ssid=573 | E138 | |

138a | Secondary, Primary | Calculate the area of a rectangle. | drfrostmaths.com/explorer.php?ssid=664 | https://www.youtube.com/embed/woMfkfjdM48 | K114 |

138b | Primary, Secondary | Calculate a side of a rectangle given its area. | drfrostmaths.com/explorer.php?ssid=665 | https://www.youtube.com/embed/ZBAGUx4ZHU0 | K115 |

138c | Primary, Secondary | Determine the perimeter of a rectangle given its area and one side length. | drfrostmaths.com/explorer.php?ssid=5056 | ||

138d | Primary, Secondary | Determine the whole number of small rectangles that can fit exactly within a larger one. | drfrostmaths.com/explorer.php?ssid=5057 | ||

138e | Primary, Secondary | Determine an area given a perimeter of a rectangle or square. | drfrostmaths.com/explorer.php?ssid=5058 | ||

138f | Secondary, Primary | Calculate a cost based on the area of a rectangle. | drfrostmaths.com/explorer.php?ssid=5059 | ||

139 | Secondary, Primary | Exam Practice: Area of a parallelogram | drfrostmaths.com/explorer.php?ssid=585 | E139 | |

139a | Secondary, Primary | Calculate the area of a parallelogram. | drfrostmaths.com/explorer.php?ssid=672 | https://www.youtube.com/embed/KpXQCmah_oQ | K296 |

139b | Primary, Secondary | Calculate the area of a parallelogram requiring subtraction of lengths. | drfrostmaths.com/explorer.php?ssid=2176 | ||

139c | Secondary, Primary | Calculate the base or height of a parallelogram given its area. | drfrostmaths.com/explorer.php?ssid=673 | https://www.youtube.com/embed/KPOSxpf2TiA | K297 |

139d | Secondary, Primary | Calculate the area of a parallelogram given the base, the height and another length. | drfrostmaths.com/explorer.php?ssid=1257 | K298 | |

140 | Primary, Secondary | Exam Practice: Area of a triangle | drfrostmaths.com/explorer.php?ssid=124 | https://www.youtube.com/embed/DYZfxwCXMgA | E140 |

140a | Primary, Secondary | Find the area of a triangle. | drfrostmaths.com/explorer.php?ssid=670 | https://www.youtube.com/embed/5LfNOCcQdZ8 | K119 |

140b | Secondary, Primary | Find the base or height of a triangle given its area. | drfrostmaths.com/explorer.php?ssid=671 | https://www.youtube.com/embed/42cZch-B9kw | K120 |

140c | Secondary, Primary | Find the area of a triangle given the base, the height and another length. | drfrostmaths.com/explorer.php?ssid=1252 | K121 | |

141 | Primary, Primary | Exam Practice: Basic terms in relation to circles | drfrostmaths.com/explorer.php?ssid=564 | E141 | |

141a | Primary, Primary | Identify the radius, diameter and circumference of a circle. | drfrostmaths.com/explorer.php?ssid=2119 | ||

141b | Primary, Primary | Understand the relationship between the radius and diameter of a circle. | drfrostmaths.com/explorer.php?ssid=2120 | ||

141c | Primary, Primary | Recognise semicircles and quarter circles. | drfrostmaths.com/explorer.php?ssid=5060 | ||

142 | Secondary, Primary | Exam Practice: Properties of prisms and cylinders | drfrostmaths.com/explorer.php?ssid=4229 | E142 | |

142a | Secondary, Primary | Recognise and name prisms and cylinders. | drfrostmaths.com/explorer.php?ssid=5061 | ||

142b | Primary, Secondary | Understand properties of prisms and cylinders. | drfrostmaths.com/explorer.php?ssid=5062 | ||

143 | Secondary, Primary | Exam Practice: Nets of 3D shapes | drfrostmaths.com/explorer.php?ssid=563 | E143 | |

143a | Secondary, Primary | Identify a 3D shape from its net. | drfrostmaths.com/explorer.php?ssid=1116 | K336 | |

143b | Secondary, Primary | Identify a net from a given 3D shape. | drfrostmaths.com/explorer.php?ssid=5063 | ||

143c | Primary, Secondary | Determine the number of edges, faces and vertices of a 3D shape given its net. | drfrostmaths.com/explorer.php?ssid=1473 | K337 | |

144 | Secondary, Primary | Exam Practice: Volume of rectilinear prisms using unit length blocks | drfrostmaths.com/explorer.php?ssid=4230 | E144 | |

144a | Primary, Secondary | Determine the volume of a cuboid by counting cubes. | drfrostmaths.com/explorer.php?ssid=1284 | https://www.youtube.com/embed/KnE4QtCABxE | K310 |

144b | Secondary, Primary | Determine the volume of prism with rectilinear cross-section by counting cubes. | drfrostmaths.com/explorer.php?ssid=5064 | ||

145 | Secondary, Primary | Exam Practice: Volume of a cube or cuboid | drfrostmaths.com/explorer.php?ssid=114 | https://www.youtube.com/embed/6s288k0rDbc | E145 |

145a | Secondary, Primary | Calculate the volume of a cuboid. | drfrostmaths.com/explorer.php?ssid=675 | https://www.youtube.com/embed/YieuL7PsKLA | K311 |

145b | Secondary, Primary | Calculate the volume of a cube. | drfrostmaths.com/explorer.php?ssid=5065 | ||

146 | Secondary | Exam Practice: Platonic solids | drfrostmaths.com/explorer.php?ssid=4231 | E146 | |

146a | Secondary | Know the definition of a Platonic solid and recognise the 5 such solids. | drfrostmaths.com/explorer.php?ssid=5066 | ||

146b | Secondary | Determine the number of vertices, faces of edges of a Platonic solid. | drfrostmaths.com/explorer.php?ssid=5067 | ||

147 | Secondary, Primary | Exam Practice: Vertically opposite angles | drfrostmaths.com/explorer.php?ssid=565 | E147 | |

147a | Secondary, Primary | Identify a vertically opposite angle. | drfrostmaths.com/explorer.php?ssid=637 | https://www.youtube.com/embed/H2B9ZzissmM | K307 |

147b | Secondary, Primary | Use vertically opposite angles and angles on a straight line or around a point to find a missing angle. | drfrostmaths.com/explorer.php?ssid=5068 | ||

148 | Secondary, Primary | Exam Practice: Properties of triangle lengths | drfrostmaths.com/explorer.php?ssid=4232 | E148 | |

148a | Secondary, Primary | Use the triangle inequality to reason about the lengths of sides of a triangle. | drfrostmaths.com/explorer.php?ssid=5069 | ||

148b | Primary, Secondary | Use the angle-side relationship to order the side lengths or angles of a triangle. | drfrostmaths.com/explorer.php?ssid=5070 | ||

149 | Secondary, Primary | Exam Practice: Sum of angles in a triangle | drfrostmaths.com/explorer.php?ssid=118 | https://www.youtube.com/embed/7Q3cDMkz9HE | E149 |

149a | Secondary, Primary | Know the properties of angles in a triangle. | drfrostmaths.com/explorer.php?ssid=655 | https://www.youtube.com/embed/LJ2u41WO15g | K107 |

149b | Primary, Secondary | Use the exterior angle property of a triangle with an extended side. | drfrostmaths.com/explorer.php?ssid=1262 | https://www.youtube.com/embed/vf3kwP8QmQY | K108 |

149c | Secondary, Primary | Use two extended sides of a triangle to determine an angle. | drfrostmaths.com/explorer.php?ssid=5071 | ||

149d | Secondary, Primary | Combine angles in a triangle with angles around a point, vertically opposite angles and extended sides. | drfrostmaths.com/explorer.php?ssid=5072 | ||

150 | Secondary, Primary | Exam Practice: Base angles of an isosceles triangle | drfrostmaths.com/explorer.php?ssid=158 | https://www.youtube.com/embed/1GuKEZj1PyY | E150 |

150 | Exam Practice: Determine the velocity from a distance-time graph. | drfrostmaths.com/explorer.php?ssid=397 | https://www.youtube.com/embed/HwVQl11cyOc | E150 | |

150a | Secondary, Primary | Determine an angle in an isosceles triangle given one of the other angles. | drfrostmaths.com/explorer.php?ssid=654 | https://www.youtube.com/embed/A4XCv-I6W50 | K301 |

150b | Primary, Secondary | Determine an angle in a diagram involving an isosceles triangle with an extended side. | drfrostmaths.com/explorer.php?ssid=1900 | ||

150c | Secondary, Primary | Determine an angle using multiple angle laws in a diagram that involves an isosceles triangle. | drfrostmaths.com/explorer.php?ssid=1899 | ||

151 | Primary, Secondary | Exam Practice: Sum of angles in a quadrilateral | drfrostmaths.com/explorer.php?ssid=121 | https://www.youtube.com/embed/v34sVtg3J5o | E151 |

151a | Secondary, Primary | Determine an angle in a quadrilateral given its other angles. | drfrostmaths.com/explorer.php?ssid=967 | https://www.youtube.com/embed/6yAkLL5TpkA | K309 |

151b | Secondary, Primary | Determine an angle involving a quadrilateral with an extended side. | drfrostmaths.com/explorer.php?ssid=2248 | ||

151c | Secondary, Primary | Determine an angle in a kite. | drfrostmaths.com/explorer.php?ssid=2264 | ||

151d | Secondary, Primary | Determine an angle using multiple angle laws in a diagram that involves a quadrilateral. | drfrostmaths.com/explorer.php?ssid=2265 | ||

152 | Secondary, Primary | Exam Practice: Coordinates in all four quadrants | drfrostmaths.com/explorer.php?ssid=4233 | E152 | |

152a | Primary, Secondary | Plot a point to complete a square, rectangle or parallelogram. | drfrostmaths.com/explorer.php?ssid=1936 | ||

152b | Secondary, Primary | Determine the coordinate of a point in any quadrant. | drfrostmaths.com/explorer.php?ssid=856 | https://www.youtube.com/embed/lQl4ychwhAI | K124 |

152c | Secondary, Primary | Plot a point in any quadrant given its coordinates. | drfrostmaths.com/explorer.php?ssid=845 | https://www.youtube.com/embed/nC-nfkCZeqY | K125 |

152d | Secondary, Primary | Determine a coordinate on the x or y axis horizontal or vertical from another point. | drfrostmaths.com/explorer.php?ssid=1962 | ||

152e | Primary, Secondary | Use a scale to find the distance between two points with the same x- or y-coordinate in any quadrants . | drfrostmaths.com/explorer.php?ssid=5073 | ||

152f | Primary, Secondary | Use a scale to find the horizontal or vertical distance between any two points in any quadrants. | drfrostmaths.com/explorer.php?ssid=5074 | ||

152g | Secondary, Primary | Determine the coordinates of a vertex of a rectangle, given two other points. | drfrostmaths.com/explorer.php?ssid=1969 | ||

152h | Primary, Secondary | Determine the coordinates of a vertex of a square, rectangle or parallelogram, given the 3 other coordinates. | drfrostmaths.com/explorer.php?ssid=1307 | https://www.youtube.com/embed/1qcmi4f5JL4 | K126 |

152i | Secondary, Primary | Problem solve with coordinates involving reflections or symmetry or shapes. | drfrostmaths.com/explorer.php?ssid=2020 | ||

152j | Primary, Secondary | Problem solve with coordinates and translated shapes. | drfrostmaths.com/explorer.php?ssid=2048 | ||

152k | Primary, Secondary | Problem solve with coordinates and congruent rectangles with a connection at a single point. | drfrostmaths.com/explorer.php?ssid=2086 | ||

152l | Secondary, Primary | Problem solve with coordinates involving repeated congruent shapes with a shared side length. | drfrostmaths.com/explorer.php?ssid=2087 | ||

152m | Secondary, Primary | Problem solve with coordinates involving repeated congruent shapes along a shared axis. | drfrostmaths.com/explorer.php?ssid=2088 | ||

153 | Primary, Secondary | Exam Practice: Reflecting a shape on axes using a given mirror line | drfrostmaths.com/explorer.php?ssid=566 | E153 | |

153a | Secondary, Primary | Reflect a shape in the x or y axes. | drfrostmaths.com/explorer.php?ssid=1370 | https://www.youtube.com/embed/rss8WsmX-RY | K275 |

153b | Secondary, Primary | Reflect a shape against a vertical or horizontal line drawn on axes. | drfrostmaths.com/explorer.php?ssid=1280 | https://www.youtube.com/embed/sxI_O6pZcis | K273 |

153c | Primary, Secondary | Reflect a shape against a diagonal line drawn on axes. | drfrostmaths.com/explorer.php?ssid=851 | https://www.youtube.com/embed/9xtnxNQ8jog | K274 |

154 | Secondary, Primary | Exam Practice: Translating a shape on axes using directional language | drfrostmaths.com/explorer.php?ssid=556 | E154 | |

154a | Secondary, Primary | Translate a shape on axes using directional language. | drfrostmaths.com/explorer.php?ssid=1371 | https://www.youtube.com/embed/j9vQtIqYYpM | K279 |

154b | Secondary, Primary | Describe a translation on axes using directional language. | drfrostmaths.com/explorer.php?ssid=5075 | ||

155 | Secondary | Exam Practice: Adding or subtracting a mixture of positive and negative numbers | drfrostmaths.com/explorer.php?ssid=1 | https://www.youtube.com/embed/pDjBuX8qgy0 | E155 |

155a | Secondary | Add a negative integer to a positive integer. | drfrostmaths.com/explorer.php?ssid=5076 | ||

155b | Secondary | Add a positive integer to any negative integer. | drfrostmaths.com/explorer.php?ssid=1391 | https://www.youtube.com/embed/2DjCOmkisII | K187 |

155c | Secondary | Add a negative integer to a negative integer. | drfrostmaths.com/explorer.php?ssid=698 | https://www.youtube.com/embed/YE-pO1JNH74 | K189 |

155d | Secondary | Use x and -x as additive inverses. | drfrostmaths.com/explorer.php?ssid=5077 | ||

155e | Secondary | Subtract a positive integer from a negative integer. | drfrostmaths.com/explorer.php?ssid=699 | https://www.youtube.com/embed/NLwnmlIQH8g | K188 |

155f | Secondary | Subtract a negative integer from a positive integer. | drfrostmaths.com/explorer.php?ssid=700 | https://www.youtube.com/embed/oiBUV1_pinA | K190 |

155g | Secondary | Subtract a negative integer from a negative integer. | drfrostmaths.com/explorer.php?ssid=5078 | ||

155h | Secondary | Determine a missing number in an addition or subtraction with one or more negative numbers. | drfrostmaths.com/explorer.php?ssid=5079 | ||

155i | Secondary | Add and subtract more than two positive and negative numbers. | drfrostmaths.com/explorer.php?ssid=5080 | ||

155j | Secondary | Add decimal numbers where one or both are negative. | drfrostmaths.com/explorer.php?ssid=5081 | ||

155k | Secondary | Subtract decimal numbers where one or both are negative. | drfrostmaths.com/explorer.php?ssid=5082 | ||

155l | Secondary | Add fractions where one or both are negative. | drfrostmaths.com/explorer.php?ssid=5083 | ||

155m | Secondary | Subtract fractions where one or both are negative. | drfrostmaths.com/explorer.php?ssid=5084 | ||

156 | Secondary | Exam Practice: Multiplying or dividing a mixture of positive and negative numbers | drfrostmaths.com/explorer.php?ssid=2 | https://www.youtube.com/embed/S-UEdTAe1-w | E156 |

156a | Secondary | Multiply a positive integer and a negative integer. | drfrostmaths.com/explorer.php?ssid=701 | https://www.youtube.com/embed/qWMYcpmeZeo | K191 |

156b | Secondary | Multiply two negative integers. | drfrostmaths.com/explorer.php?ssid=5085 | ||

156c | Secondary | Divide a positive integer and a negative integer. | drfrostmaths.com/explorer.php?ssid=702 | https://www.youtube.com/embed/XwXpMezXqEY | K192 |

156d | Secondary | Divide two negative integers. | drfrostmaths.com/explorer.php?ssid=5086 | ||

156e | Secondary | Determine a missing number in a multiplication or division with one or more negative numbers. | drfrostmaths.com/explorer.php?ssid=5087 | ||

156f | Secondary | Complete a multiplication grid involving negative integers. | drfrostmaths.com/explorer.php?ssid=5088 | ||

156g | Secondary | Multiply decimal numbers where one or both are negative. | drfrostmaths.com/explorer.php?ssid=5089 | ||

156h | Secondary | Multiply fractions where one or both are negative. | drfrostmaths.com/explorer.php?ssid=5090 | ||

156i | Secondary | Divide decimal numbers where one or both are negative. | drfrostmaths.com/explorer.php?ssid=5091 | ||

156j | Secondary | Divide fractions where one or both are negative. | drfrostmaths.com/explorer.php?ssid=5092 | ||

156k | Secondary | Determine two whole numbers which have a certain sum and a certain product, where at least one of the numbers is negative. | drfrostmaths.com/explorer.php?ssid=5093 | ||

156l | Secondary | Multiply or divide more than two positive and negative numbers. | drfrostmaths.com/explorer.php?ssid=5094 | ||

156m | Secondary | Calculate expressions involving negative numbers using order of operations (no powers or roots). | drfrostmaths.com/explorer.php?ssid=5095 | ||

156n | Secondary | Calculate the number halfway between a positive and a negative number. | drfrostmaths.com/explorer.php?ssid=5096 | ||

156o | Secondary | Calculate the number halfway between two negative numbers. | drfrostmaths.com/explorer.php?ssid=5097 | ||

156p | Secondary | Determine a number given another and their midpoint, where at least one is negative. | drfrostmaths.com/explorer.php?ssid=5098 | ||

157 | Secondary | Exam Practice: Roots and further powers | drfrostmaths.com/explorer.php?ssid=60 | https://www.youtube.com/embed/uDgwcgnTtao | E157 |

157 | Exam Practice: Understand the definition of different 3D shapes. | drfrostmaths.com/explorer.php?ssid=112 | https://www.youtube.com/embed/ep7w4rwjJ0E | E157 | |

157a | DELETED Understand properties of different 3D shapes. | drfrostmaths.com/explorer.php?ssid=1115 | K335 | ||

157a | Secondary | Recognise powers of 2, 3, 4, 5 and 10. | drfrostmaths.com/explorer.php?ssid=5099 | ||

157b | Secondary | Calculate an integer power of an integer which is possibly negative. | drfrostmaths.com/explorer.php?ssid=1350 | K441 | |

157b | DELETED Know the names of 3D shapes. | drfrostmaths.com/explorer.php?ssid=1408 | https://www.youtube.com/embed/8x2pEHQ62j0 | K334 | |

157c | Secondary | Find a square root of a square number. | drfrostmaths.com/explorer.php?ssid=1164 | https://www.youtube.com/embed/31WNK25NnFI | K19 |

157d | Secondary | Estimate the square root of a non-square number. | drfrostmaths.com/explorer.php?ssid=5100 | ||

157e | Secondary | Find the cube root of a number using a calculator. | drfrostmaths.com/explorer.php?ssid=1165 | https://www.youtube.com/embed/6ShneYYJ038 | K20 |

157f | Secondary | Calculate the nth root of a number for n \ge 4 | drfrostmaths.com/explorer.php?ssid=5101 | ||

157g | Secondary | Calculate expressions involving roots and powers using order of operations. | drfrostmaths.com/explorer.php?ssid=5102 | ||

157h | Secondary | Determine the unknown power in an expression involving positive indices, given its numeric equivalent. | drfrostmaths.com/explorer.php?ssid=5103 | ||

157i | Secondary | Determine the unknown base in an expression involving positive indices, given its numeric equivalent. | drfrostmaths.com/explorer.php?ssid=5104 | ||

158 | Secondary | Exam Practice: Numerical index laws (basic) | drfrostmaths.com/explorer.php?ssid=56 | https://www.youtube.com/embed/Z_WCKeO-liY | E158 |

158a | Secondary | Use laws of indices for multiplying powers with numeric bases. | drfrostmaths.com/explorer.php?ssid=645 | https://www.youtube.com/embed/oodzA4Qqn-I | K432 |

158b | Secondary | Use laws of indices for dividing powers with numeric bases. | drfrostmaths.com/explorer.php?ssid=646 | https://www.youtube.com/embed/yUKJi5ZTFhY | K433 |

158c | Secondary | Use laws of indices for raising a power to a power with a numeric base. | drfrostmaths.com/explorer.php?ssid=647 | https://www.youtube.com/embed/hGXRddq5Owk | K434 |

158d | Secondary | Use laws of indices for multiplying and dividing powers requiring two steps. | drfrostmaths.com/explorer.php?ssid=5105 | ||

158e | Secondary | Raise a number to the power of 0. | drfrostmaths.com/explorer.php?ssid=5106 | ||

158f | Secondary | Determine the unknown power in an expression involving index laws with positive indices given its numeric equivalent. | drfrostmaths.com/explorer.php?ssid=5107 | ||

158g | Secondary | Determine the base power in an expression involving index laws with positive indices, given its numeric equivalent. | drfrostmaths.com/explorer.php?ssid=5108 | ||

158h | Secondary | DELETED Laws of indices for multiplying powers, dividing powers and raising a power to a power. | drfrostmaths.com/explorer.php?ssid=1663 | ||

159 | Exam Practice: Identify planes of symmetry in 3D shapes. | drfrostmaths.com/explorer.php?ssid=143 | E159 | ||

159 | Secondary | Exam Practice: Reciprocals | drfrostmaths.com/explorer.php?ssid=4234 | E159 | |

159a | Secondary | Understand reciprocals as multiplicative inverses. | drfrostmaths.com/explorer.php?ssid=5109 | ||

159b | Secondary | Calculate the reciprocal of an integer. | drfrostmaths.com/explorer.php?ssid=5110 | ||

159c | Secondary | Calculate the reciprocal of a unit fraction. | drfrostmaths.com/explorer.php?ssid=5111 | ||

159d | Secondary | Calculate the reciprocal of a general fraction. | drfrostmaths.com/explorer.php?ssid=5112 | ||

159e | Secondary | Calculate the reciprocal of a mixed number. | drfrostmaths.com/explorer.php?ssid=5113 | ||

159f | Secondary | Calculate the reciprocal of a decimal. | drfrostmaths.com/explorer.php?ssid=1941 | ||

160 | Secondary | Exam Practice: Using a scientific calculator | drfrostmaths.com/explorer.php?ssid=331 | E160 | |

160 | Exam Practice: Reason about number of edges, faces and vertices on a 3D shape. | drfrostmaths.com/explorer.php?ssid=382 | E160 | ||

160a | Secondary | Use a calculator to determine the vaue of calculations using basic arithmetic operations, potentially including brackets. | drfrostmaths.com/explorer.php?ssid=5114 | ||

160b | Secondary | Use a calculator to determine the vaue of calculations involving a square or square root. | drfrostmaths.com/explorer.php?ssid=5115 | ||

160c | Secondary | Use a calculator to determine the vaue of calculations involving powers greater than 2. | drfrostmaths.com/explorer.php?ssid=5116 | ||

160d | Secondary | Use a calculator to determine the value of a calculation involving fractions. | drfrostmaths.com/explorer.php?ssid=5117 | ||

160e | Secondary | Use a calculator to determine cube roots and other nth roots. | drfrostmaths.com/explorer.php?ssid=5118 | ||

161 | Secondary | Exam Practice: Prime factorisation of a number | drfrostmaths.com/explorer.php?ssid=26 | https://www.youtube.com/embed/c6Q3Tor_22w | E161 |

161a | Secondary | Write a number below 100 as the product of its prime factors. | drfrostmaths.com/explorer.php?ssid=606 | https://www.youtube.com/embed/easoe0bzFBI | K215 |

161b | Secondary | Write a number over 100 as the product of its prime factors. | drfrostmaths.com/explorer.php?ssid=1864 | ||

161c | Secondary | Write a product as the product of its prime factors. | drfrostmaths.com/explorer.php?ssid=1692 | ||

161d | Secondary | Write a product as the product of its prime factors, where some powers are algebraic. | drfrostmaths.com/explorer.php?ssid=1874 | ||

162 | Secondary | Exam Practice: Lowest Common Multiple or Highest Common Factor by prime factorisation | drfrostmaths.com/explorer.php?ssid=28 | https://www.youtube.com/embed/WRN1LJDcQ-I | E162 |

162 | Secondary | Write a fraction in simplest form by prime factorisation to find the HCF. | drfrostmaths.com/explorer.php?ssid=8316 | ||

162a | Secondary | Determine the HCF of two numbers which are already prime factorised. | drfrostmaths.com/explorer.php?ssid=775 | https://www.youtube.com/embed/vO30opV_ItE | K217 |

162b | Secondary | Determine the LCM of two numbers which are already prime factorised. | drfrostmaths.com/explorer.php?ssid=776 | https://www.youtube.com/embed/uIOKEnQeoCE | K220 |

162c | Secondary | Determine the Highest Common Factor (HCF) of 2 numbers by prime factorising. | drfrostmaths.com/explorer.php?ssid=607 | https://www.youtube.com/embed/vO30opV_ItE | K218 |

162d | Secondary | Determine the Lowest Common Multiple (LCM) of 2 numbers by prime factorising. | drfrostmaths.com/explorer.php?ssid=608 | https://www.youtube.com/embed/uIOKEnQeoCE | K221 |

162e | Secondary | Determine the Highest Common Factor (HCF) of more than 2 numbers by prime factorising. | drfrostmaths.com/explorer.php?ssid=5119 | ||

162f | Secondary | Determine the Lowest Common Multiple (LCM) of more than 2 numbers by prime factorising. | drfrostmaths.com/explorer.php?ssid=5120 | ||

162g | Secondary | Determine the HCF of two or more algebraic expressions. | drfrostmaths.com/explorer.php?ssid=1567 | K747 | |

162h | Secondary | Determine the LCM of two or more algebraic expressions. | drfrostmaths.com/explorer.php?ssid=1568 | K748 | |

162i | Secondary | Solve problems involving LCM and HCF where one or more of the numbers is unknown. | drfrostmaths.com/explorer.php?ssid=5121 | ||

163 | Secondary | Exam Practice: Divisibility laws from 3 to 11 and dealing with larger divisors | drfrostmaths.com/explorer.php?ssid=30 | E163 | |

163a | Secondary | Know if a number is divisible by 2, 3, 4, 5, 6, 8, 9 or 10. | drfrostmaths.com/explorer.php?ssid=1607 | ||

163b | Secondary | Know if a number is divisible by 11. | drfrostmaths.com/explorer.php?ssid=1608 | ||

163c | Secondary | Determine an unknown digit to make a number divisible by 3, 4, 6, 8 or 9. | drfrostmaths.com/explorer.php?ssid=2051 | ||

163d | Secondary | Know if a number is divisible by a large number by combining divisibility rules. | drfrostmaths.com/explorer.php?ssid=5122 | ||

164 | Secondary | Exam Practice: Properties of a number based on its prime factorisation (e.g. identify factors, if it is square, trailing zeroes) | drfrostmaths.com/explorer.php?ssid=31 | E164 | |

164a | Secondary | Identify specific factors of a number expressed a product of powers. | drfrostmaths.com/explorer.php?ssid=5123 | ||

164b | Secondary | Know the properties of the prime factorisation of a square or cube number. | drfrostmaths.com/explorer.php?ssid=5124 | ||

164c | Secondary | Work out the number of digits of a number of the number of trailing zeroes where the number is expressed as a product of factors. | drfrostmaths.com/explorer.php?ssid=5125 | ||

164d | Secondary | Identify the number of factors of a number by using its prime factorisation. | drfrostmaths.com/explorer.php?ssid=5126 | ||

165 | Secondary | Exam Practice: Multiplying proper fractions requiring simplification | drfrostmaths.com/explorer.php?ssid=582 | E165 | |

165a | Secondary | Multiply a fraction by a fraction, requiring simplification. | drfrostmaths.com/explorer.php?ssid=598 | https://www.youtube.com/embed/wvRIN7Z_jns | K173 |

165b | Secondary | Square and square root fractions. | drfrostmaths.com/explorer.php?ssid=1507 | K711 | |

165c | Secondary | Calculate an integer power of a fraction which is possibly negative. | drfrostmaths.com/explorer.php?ssid=1386 | K442 | |

165d | Secondary | Combine fractions to determine the fraction of a whole represented by a subgroup. | drfrostmaths.com/explorer.php?ssid=5127 | ||

165e | Secondary | Multiply fractions by a quantity to compare against a total capacity. | drfrostmaths.com/explorer.php?ssid=5128 | ||

166 | Secondary | Exam Practice: Dividing proper fractions | drfrostmaths.com/explorer.php?ssid=583 | E166 | |

166a | Secondary | Divide a fraction by a fraction, where no simplification is required. | drfrostmaths.com/explorer.php?ssid=5129 | ||

166b | Secondary | Divide a fraction by a fraction, requiring simplification. | drfrostmaths.com/explorer.php?ssid=599 | https://www.youtube.com/embed/9JCOv1eTfEM | K175 |

166c | Secondary | Divide an integer by a fraction. | drfrostmaths.com/explorer.php?ssid=1465 | K177 | |

166d | Secondary | Calculate values involving a mixture of arithmetic operations on fractional values. | drfrostmaths.com/explorer.php?ssid=5130 | ||

166e | Secondary | Simplify complex fractions. | drfrostmaths.com/explorer.php?ssid=5131 | ||

167 | Secondary | Exam Practice: Multiplying fractions involving a mixed number | drfrostmaths.com/explorer.php?ssid=20 | https://www.youtube.com/embed/wrVlqKtX9rg | E167 |

167a | Secondary | Multiply mixed numbers. | drfrostmaths.com/explorer.php?ssid=746 | https://www.youtube.com/embed/rAoOeNbih7U | K179 |

167b | Secondary | Combine multiplication of fractions with addition/subtraction. | drfrostmaths.com/explorer.php?ssid=5132 | ||

168 | Secondary | Exam Practice: Dividing fractions involving a mixed number | drfrostmaths.com/explorer.php?ssid=21 | https://www.youtube.com/embed/In5d6yv3Q3Y | E168 |

168a | Secondary | Determine the quantity of a unit fraction within a mixed number. | drfrostmaths.com/explorer.php?ssid=1939 | ||

168b | Secondary | Divide non-mixed numbers, converting the answer to a mixed number. | drfrostmaths.com/explorer.php?ssid=1940 | ||

168c | Secondary | Divide a mixed number by a mixed number. | drfrostmaths.com/explorer.php?ssid=747 | https://www.youtube.com/embed/BH9FWoWlNMs | K180 |

168d | Secondary | Divide a mixed number by a integer. | drfrostmaths.com/explorer.php?ssid=1389 | https://www.youtube.com/embed/Q7L__W6rdtw | K182 |

168e | Secondary | Divide mixed numbers in context. | drfrostmaths.com/explorer.php?ssid=2093 | ||

168f | Secondary | Calculate the mean of fractional values. | drfrostmaths.com/explorer.php?ssid=2112 | ||

169 | Secondary | Exam Practice: Fractional increase and decrease | drfrostmaths.com/explorer.php?ssid=4235 | E169 | |

169a | Secondary | Determine an amount after a fractional increase. | drfrostmaths.com/explorer.php?ssid=1824 | https://www.youtube.com/embed/OiC1UfOv1CY | |

169b | Secondary | Determine an amount after a fractional decrease. | drfrostmaths.com/explorer.php?ssid=5133 | ||

170 | Secondary | Exam Practice: Fractional original value problems | drfrostmaths.com/explorer.php?ssid=25 | https://www.youtube.com/embed/9jMH9ry_Mks | E170 |

170a | Secondary | Determine the amount before a unit fraction of it was taken. | drfrostmaths.com/explorer.php?ssid=1840 | https://www.youtube.com/embed/qapRP8-3mx4 | |

170b | Secondary | Determine the amount before a fraction of it was taken. | drfrostmaths.com/explorer.php?ssid=1369 | https://www.youtube.com/embed/BAOhkg2tcAo | K184 |

170c | Secondary | Determine a fraction of an amount given another fraction of that amount. | drfrostmaths.com/explorer.php?ssid=1841 | https://www.youtube.com/embed/Hc4zrkYbIl8 | |

170d | Secondary | Determine the original amount after a fractional increase or decrease. | drfrostmaths.com/explorer.php?ssid=1842 | https://www.youtube.com/embed/C_9CZ8f9qek | |

170e | Secondary | Determine a total amount when the amount of a remaining quantity is provided. | drfrostmaths.com/explorer.php?ssid=1844 | https://www.youtube.com/embed/HIgacOKpoog | |

170f | Secondary | Determine the total number of items to subsequently calculate a dependent amount, e.g. cost or weight. | drfrostmaths.com/explorer.php?ssid=1843 | https://www.youtube.com/embed/PA_Cq-5jRhE | |

170g | Secondary | Determine the original amount where the difference between two fractions of an amount is given. | drfrostmaths.com/explorer.php?ssid=1845 | https://www.youtube.com/embed/hTADmx1WrOo | |

170h | Secondary | Solve problems where a single fraction of a quantity is taken combined with some other fixed quantity. | drfrostmaths.com/explorer.php?ssid=1848 | https://www.youtube.com/embed/6eHdJESTyV8 | |

170i | Secondary | Solve problems where two fractions of amount are taken, when combined with some other fixed quantity. | drfrostmaths.com/explorer.php?ssid=1851 | https://www.youtube.com/embed/8fkuXMXouSI | |

170j | Secondary | Determine an original amount where a fraction of a fraction or a fraction of a remaining amount is involved. | drfrostmaths.com/explorer.php?ssid=1854 | https://www.youtube.com/embed/JKeXAXZHyfI | |

171 | Secondary | Exam Practice: Problem solving involving a fraction of an amount | drfrostmaths.com/explorer.php?ssid=4236 | E171 | |

171a | Secondary | Determine the amount left given the fractions of an amount in other groups. | drfrostmaths.com/explorer.php?ssid=1911 | ||

171b | Secondary | Combine a mixture of fractions of amounts with other amounts. | drfrostmaths.com/explorer.php?ssid=1825 | https://www.youtube.com/embed/w2OEktG2fp4 | |

171c | Secondary | Determine a fraction of a fraction of an amount. | drfrostmaths.com/explorer.php?ssid=1846 | https://www.youtube.com/embed/Xj9xWjvZWck | |

171d | Secondary | Combine fractions of amounts from multiple groups. | drfrostmaths.com/explorer.php?ssid=1830 | https://www.youtube.com/embed/0dOXKxDVVIg | |

171e | Secondary | Determine the total of a physical quantity where costs or weights are assigned to each group. | drfrostmaths.com/explorer.php?ssid=1838 | https://www.youtube.com/embed/HDWYcefLiMQ | |

171f | Secondary | Problem solve with pay or cost, involving fractions of amounts. | drfrostmaths.com/explorer.php?ssid=1849 | https://www.youtube.com/embed/1pPfny_zFn4 | |

171g | Secondary | Determine the fraction left after taking a fraction of a remaining amount. | drfrostmaths.com/explorer.php?ssid=1910 | ||

172 | Secondary | Exam Practice: Converting between terminating decimals, fractions and percentages less than 100% | drfrostmaths.com/explorer.php?ssid=34 | https://www.youtube.com/embed/-qa1yzGSP2Q | E172 |

172a | Secondary | Determine what percentage of a shape is shaded for a grid size of 100. | drfrostmaths.com/explorer.php?ssid=1407 | https://www.youtube.com/embed/E-0tUEdo_6U | K50 |

172b | Secondary | Determine what percentage of a shape is shaded for more general grid sizes. | drfrostmaths.com/explorer.php?ssid=1343 | K52 | |

172c | Secondary | Convert a fraction to a non-recurring decimal using equivalent fractions and place value. | drfrostmaths.com/explorer.php?ssid=5134 | ||

172d | Secondary | Convert a fraction to a percentage, where the denominator is a factor or mutiple of 10, 100 or 1000. | drfrostmaths.com/explorer.php?ssid=640 | https://www.youtube.com/embed/gQyuE9tERgk | K51 |

172e | Secondary | Convert a fraction to a percentage, by use of equivalent fractions. | drfrostmaths.com/explorer.php?ssid=5135 | ||

172f | Secondary | Convert a fraction to a non-recurring decimal using division. | drfrostmaths.com/explorer.php?ssid=639 | https://www.youtube.com/embed/WgaKzY6cslY | K53 |

172g | Secondary | Convert a fraction to a percentage via an equivalent decimal. | drfrostmaths.com/explorer.php?ssid=5136 | ||

172h | Secondary | Convert a non-recurring decimal to a fraction. | drfrostmaths.com/explorer.php?ssid=641 | https://www.youtube.com/embed/0NaL-F-h86U | K54 |

172i | Secondary | Convert a decimal with up to 3 decimal places to a percentage. | drfrostmaths.com/explorer.php?ssid=5137 | ||

172j | Secondary | Convert a percentage to a decimal with up to 3 decimal places. | drfrostmaths.com/explorer.php?ssid=5138 | ||

172k | Secondary | Convert a percentage to a fraction. | drfrostmaths.com/explorer.php?ssid=644 | https://www.youtube.com/embed/UQU442ZJh9I | K57 |

173 | Secondary | Exam Practice: Converting from a fraction to a recurring decimal or a percentage | drfrostmaths.com/explorer.php?ssid=35 | https://www.youtube.com/embed/O04JAIm5HXY | E173 |

173a | Secondary | Convert a fraction to a recurring decimal. | drfrostmaths.com/explorer.php?ssid=1572 | K752 | |

173b | Secondary | Recognise common recurring percentages as fractions. | drfrostmaths.com/explorer.php?ssid=5139 | ||

174 | Secondary | Exam Practice: Converting between terminating decimals, fractions and percentages greater than 100% | drfrostmaths.com/explorer.php?ssid=4237 | E174 | |

174a | Secondary | Convert a decimal with up to 3 decimal places to a percentage greater than 100%. | drfrostmaths.com/explorer.php?ssid=5140 | ||

174b | Secondary | Convert a percentage greater than 100% to a decimal with up to 3 decimal places. | drfrostmaths.com/explorer.php?ssid=5141 | ||

174c | Secondary | Convert a percentage greater than 100% to a mixed number or improper fraction. | drfrostmaths.com/explorer.php?ssid=5142 | ||

174d | Secondary | Convert a mixed number or improper fraction to a non-recurring decimal using division. | drfrostmaths.com/explorer.php?ssid=5143 | ||

174e | Secondary | Convert a mixed number or improper fraction to a percentage, by division to a decimal. | drfrostmaths.com/explorer.php?ssid=5144 | ||

174f | Secondary | Convert a non-recurring decimal to a mixed number or improper fraction. | drfrostmaths.com/explorer.php?ssid=5145 | ||

175 | Secondary | Exam Practice: Comparing and ordering fractions, decimal and percentages | drfrostmaths.com/explorer.php?ssid=378 | E175 | |

175a | Secondary | DELETED Compare two fractions using =, \ne, < or >. | drfrostmaths.com/explorer.php?ssid=1332 | K340 | |

175a | Secondary | Compare a given fraction and decimal using inequalities. | drfrostmaths.com/explorer.php?ssid=5146 | ||

175b | Secondary | Compare a given fraction and percentage using inequalities. | drfrostmaths.com/explorer.php?ssid=5147 | ||

175c | Secondary | Compare a given decimal and percentage using inequalities. | drfrostmaths.com/explorer.php?ssid=5148 | ||

175d | Secondary | Order a mixture of fractions, decimals and percentages. | drfrostmaths.com/explorer.php?ssid=1372 | https://www.youtube.com/embed/yXziTEWRRCw | K58 |

176 | Secondary | Exam Practice: Multiplicative scaling and numerical proportion relationships | drfrostmaths.com/explorer.php?ssid=68 | https://www.youtube.com/embed/Drx3i7fwU90 | E176 |

176a | Secondary | Solve direct proportion problems using an integer scale factor. | drfrostmaths.com/explorer.php?ssid=1298 | https://www.youtube.com/embed/eBSfyU64VtY | K230 |

176b | Secondary | Solve direct proportion problems using a non-integer scale factor. | drfrostmaths.com/explorer.php?ssid=5149 | ||

176c | Secondary | Complete a table of values for variables in direct proportion. | drfrostmaths.com/explorer.php?ssid=5150 | ||

176d | Secondary | Use multiplicative reasoning in a recipe to determine the amount of an ingredient needed. | drfrostmaths.com/explorer.php?ssid=1314 | https://www.youtube.com/embed/13mWOpvcRwk | K231 |

176e | Secondary | Use multiplicative reasoning in a recipe to determine the quantity of items that can be made. | drfrostmaths.com/explorer.php?ssid=5151 | ||

176f | Secondary | Use multiplicative reasoning in a recipe to determine if there is enough of a certain ingredient. | drfrostmaths.com/explorer.php?ssid=5152 | ||

176g | Secondary | Use proportion to solve best value problems. | drfrostmaths.com/explorer.php?ssid=1315 | https://www.youtube.com/embed/kSDLWDeY1qg | K233 |

176h | Secondary | Solve inverse proportion problems using a scaling method. | drfrostmaths.com/explorer.php?ssid=1299 | https://www.youtube.com/embed/qGS4s0RuATs | K232 |

176i | Secondary | Complete a table of values for variables in inverse proportion. | drfrostmaths.com/explorer.php?ssid=5153 | ||

176j | Secondary | Determine if two variables are in direct or inverse proportion from a given table of values. | drfrostmaths.com/explorer.php?ssid=5154 | ||

177 | Secondary | Exam Practice: Exchange rates | drfrostmaths.com/explorer.php?ssid=455 | E177 | |

177a | Secondary | Use an exchange rate to calculate an amount by multiplying. | drfrostmaths.com/explorer.php?ssid=1312 | https://www.youtube.com/embed/sFoIfbjhnf4 | K234 |

177b | Secondary | Use an exchange rate to calculate an amount by dividing. | drfrostmaths.com/explorer.php?ssid=1313 | https://www.youtube.com/embed/xKX-dedgV24 | K235 |

177c | Secondary | Determine a difference between costs in two different currencies or compare two values. | drfrostmaths.com/explorer.php?ssid=2276 | ||

177d | Secondary | Determine the maximum number of notes in one currency that can be obtained with an amount in another currency. | drfrostmaths.com/explorer.php?ssid=2346 | ||

177e | Secondary | Use two exchange rates to compare values. | drfrostmaths.com/explorer.php?ssid=2347 | ||

177f | Secondary | Solve a problem with multiple arithmetic operations, involving two currencies. | drfrostmaths.com/explorer.php?ssid=2348 | ||

177g | Secondary | Use a conversion between two units of mass or volume along with different currencies. | drfrostmaths.com/explorer.php?ssid=2349 | ||

177h | Secondary | Solve problems involving fluctuating exchange rates. | drfrostmaths.com/explorer.php?ssid=5155 | ||

177i | Secondary | Solve problems involving exchange rates and commission. | drfrostmaths.com/explorer.php?ssid=5156 | ||

178 | Secondary | Exam Practice: Conversion graphs | drfrostmaths.com/explorer.php?ssid=414 | E178 | |

178a | Secondary | Draw a conversion graph. | drfrostmaths.com/explorer.php?ssid=1463 | K91 | |

178b | Secondary | Use a conversion graph within the scale. | drfrostmaths.com/explorer.php?ssid=1464 | K92 | |

178c | Secondary | Use a conversion graph for a value outside the scale. | drfrostmaths.com/explorer.php?ssid=5157 | ||

179 | Secondary | Exam Practice: Geometric notation for shapes and lines | drfrostmaths.com/explorer.php?ssid=581 | E179 | |

179a | Secondary | Use three-letter angle notation. | drfrostmaths.com/explorer.php?ssid=1384 | https://www.youtube.com/embed/sXyk8eeSqnE | K102 |

179b | Secondary | Use lettered notation to identify a line segment or a shape. | drfrostmaths.com/explorer.php?ssid=5158 | ||

179c | Secondary | Use notation to represent parallel and perpendicular lines. | drfrostmaths.com/explorer.php?ssid=5159 | ||

179d | Secondary | Use notation to represent equal side lengths and angles. | drfrostmaths.com/explorer.php?ssid=5160 | ||

180 | Secondary | Exam Practice: Perimeter of rectilinear shapes | drfrostmaths.com/explorer.php?ssid=4238 | E180 | |

180a | Secondary | Find the perimeter of a composite rectilinear shape. | drfrostmaths.com/explorer.php?ssid=1310 | https://www.youtube.com/embed/JKxm0-UaK3c | K116 |

180b | Secondary | Find the perimeter of shapes made from several congruent rectangles. | drfrostmaths.com/explorer.php?ssid=1286 | K117 | |

181 | Secondary | Exam Practice: Area of composite rectilinear shapes | drfrostmaths.com/explorer.php?ssid=4239 | E181 | |

181a | Secondary | Find the area of a composite rectilinear shape. | drfrostmaths.com/explorer.php?ssid=1224 | https://www.youtube.com/embed/-zDWva2jNs8 | K118 |

181b | Secondary | Determine a length in a rectilinear shape using its area. | drfrostmaths.com/explorer.php?ssid=5161 | ||

181c | Secondary | Determine a cost or quantity required associated with a composite rectilinear shape. | drfrostmaths.com/explorer.php?ssid=5162 | ||

181d | Secondary | Form an expression for the area of a composite rectilinear shape. | drfrostmaths.com/explorer.php?ssid=1508 | https://www.youtube.com/embed/YjTMqrjxfGM | K712 |

182 | Secondary | Exam Practice: Area of composite shapes (no circles) | drfrostmaths.com/explorer.php?ssid=127 | https://www.youtube.com/embed/7kp1xSIChNE | E182 |

182a | Secondary | Calculate the area of a composite shape involving a triangle and a rectangle, given all lengths. | drfrostmaths.com/explorer.php?ssid=2073 | ||

182b | Secondary | Determine the area of a composite shape involving a triangle and a rectangle and missing side lengths. | drfrostmaths.com/explorer.php?ssid=2041 | ||

182c | Secondary | Determine the area of a composite shape involving a triangle and a rectangle, and the area of a simple part. | drfrostmaths.com/explorer.php?ssid=2074 | ||

182d | Secondary | Determine the area of a non-standard quadrilateral drawn on a square grid. | drfrostmaths.com/explorer.php?ssid=5163 | ||

182e | Secondary | Determine the area of a triangle or a rotated rectangle inside another rectangle. | drfrostmaths.com/explorer.php?ssid=5164 | ||

182f | Secondary | Solve problems involving cost or quantity involving a rectangular frame. | drfrostmaths.com/explorer.php?ssid=5165 | ||

182g | Secondary | Determine the area of a pentagon formed from a rectangle and a triangle. | drfrostmaths.com/explorer.php?ssid=5166 | ||

182h | Secondary | Determine the area of a hexagon formed from a rectangle and a trapezium. | drfrostmaths.com/explorer.php?ssid=2109 | ||

182i | Secondary | Determine the area of a hexagon formed from a rectangle and two triangles. | drfrostmaths.com/explorer.php?ssid=5167 | ||

183 | Secondary | Exam Practice: Area of kites | drfrostmaths.com/explorer.php?ssid=4240 | E183 | |

183a | Secondary | Calculate the area of a kite involving right-angles. | drfrostmaths.com/explorer.php?ssid=2023 | ||

183b | Secondary | Calculate the area of a kite given the length of its two diagonals. | drfrostmaths.com/explorer.php?ssid=5168 | ||

184 | Secondary | Exam Practice: Area of trapeziums | drfrostmaths.com/explorer.php?ssid=125 | https://www.youtube.com/embed/aKqIc1fmjGc | E184 |

184a | Secondary | Calculate the area of a trapezium. | drfrostmaths.com/explorer.php?ssid=674 | https://www.youtube.com/embed/a5laQQJgR-w | K299 |

184b | Secondary | Determine a length in a trapezium given its area. | drfrostmaths.com/explorer.php?ssid=1288 | https://www.youtube.com/embed/8ScDWTrmFZg | K300 |

184c | Secondary | Solve problems involving cost with the area of a trapezium. | drfrostmaths.com/explorer.php?ssid=2064 | ||

184d | Secondary | Determine a length in a trapezium by equating the area to another shape. | drfrostmaths.com/explorer.php?ssid=2065 | ||

185 | Secondary | Exam Practice: Related area problems | drfrostmaths.com/explorer.php?ssid=4241 | E185 | |

185a | Secondary | Determine the side length or perimeter of a rectangle with the same area as a triangle. | drfrostmaths.com/explorer.php?ssid=2055 | ||

185b | Secondary | Determine the base or height of a triangle with the same area as a rectangle. | drfrostmaths.com/explorer.php?ssid=2056 | ||

185c | Secondary | Determine the side lengths of rectangles and triangles with related areas. | drfrostmaths.com/explorer.php?ssid=2012 | ||

185d | Secondary | Determine the side lengths of rectangles and trapezia with related areas. | drfrostmaths.com/explorer.php?ssid=5169 | ||

185e | Secondary | Determine the side lengths of triangles and trapezia with related areas. | drfrostmaths.com/explorer.php?ssid=5170 | ||

186 | Secondary | Exam Practice: Estimating measures in context | drfrostmaths.com/explorer.php?ssid=4242 | E186 | |

186a | Secondary | Suggest a suitable unit of measurement for a physical quantity. | drfrostmaths.com/explorer.php?ssid=5171 | ||

186b | Secondary | Estimate the physical measurement of objects. | drfrostmaths.com/explorer.php?ssid=5172 | ||

186c | Secondary | Estimate a value from limited information using Fermi estimation. | drfrostmaths.com/explorer.php?ssid=5173 | ||

187 | Secondary | Exam Practice: Rounding a number to a given number of significant figures | drfrostmaths.com/explorer.php?ssid=43 | https://www.youtube.com/embed/CKTmUZauibk | E187 |

187a | Secondary | Round a decimal number to a given number of significant figures. | drfrostmaths.com/explorer.php?ssid=932 | https://www.youtube.com/embed/UlyCHDCfhe4 | K223 |

187b | Secondary | Round a whole number to a given number of significant figures. | drfrostmaths.com/explorer.php?ssid=2013 | https://www.youtube.com/embed/LLFf_TXWPiU | |

188 | Secondary | Exam Practice: Estimating the result of a calculation by first rounding each number | drfrostmaths.com/explorer.php?ssid=44 | https://www.youtube.com/embed/Y7Qmot2vWe8 | E188 |

188a | Secondary | Estimate the answer of a simple calculation. | drfrostmaths.com/explorer.php?ssid=806 | https://www.youtube.com/embed/mmebHnp_qeU | K224 |

188b | Secondary | Estimate the result of a division. | drfrostmaths.com/explorer.php?ssid=807 | https://www.youtube.com/embed/cTapGue8CKU | K225 |

188c | Secondary | Estimate a value from a problem in context by rounding. | drfrostmaths.com/explorer.php?ssid=5174 | ||

189 | Secondary | Exam Practice: Rounding errors (round-off errors) | drfrostmaths.com/explorer.php?ssid=4243 | E189 | |

189a | Secondary | Determine the rounding error (round-off error) when the result of a calculation is rounded. | drfrostmaths.com/explorer.php?ssid=5175 | ||

189b | Secondary | Determine the effect of early rounding on subsequent calculation with that value. | drfrostmaths.com/explorer.php?ssid=5176 | ||

190 | Secondary | Exam Practice: Algebraic terminology | drfrostmaths.com/explorer.php?ssid=4244 | E190 | |

190a | Secondary | Distinguish between constants, variables, terms, expressions, equations and formulae. | drfrostmaths.com/explorer.php?ssid=5177 | ||

191 | Secondary | Exam Practice: Multiplying single algebraic terms (no index laws) | drfrostmaths.com/explorer.php?ssid=4 | https://www.youtube.com/embed/QhWFFoxCTqI | E191 |

191a | Secondary | Multiply an algebraic term involving one variable by a positive integer. | drfrostmaths.com/explorer.php?ssid=5178 | ||

191b | Secondary | Multiply an algebraic term involving multiple variables by a positive integer. | drfrostmaths.com/explorer.php?ssid=5179 | ||

191c | Secondary | Multiply algebraic terms with positive coefficients (no powers). | drfrostmaths.com/explorer.php?ssid=5180 | ||

191d | Secondary | Multiply algebraic terms with positive coefficients (maximum power of 2). | drfrostmaths.com/explorer.php?ssid=610 | https://www.youtube.com/embed/-raPuNM8tt4 | K148 |

191e | Secondary | Multiply algebraic terms with negative coefficients (maximum power of 2). | drfrostmaths.com/explorer.php?ssid=5181 | ||

192 | Secondary | Exam Practice: Dividing single algebraic terms (no index laws) | drfrostmaths.com/explorer.php?ssid=5 | https://www.youtube.com/embed/thSfyYxJJIE | E192 |

192a | Secondary | Divide an algebraic term involving one variable by a positive integer. | drfrostmaths.com/explorer.php?ssid=5182 | ||

192b | Secondary | Divide an algebraic term involving multiple variables by a positive integer (maximum power of 2). | drfrostmaths.com/explorer.php?ssid=2036 | ||

192c | Secondary | Divide an algebraic term by an algebraic term with coefficient of 1 (maximum power of 2). | drfrostmaths.com/explorer.php?ssid=2037 | ||

192d | Secondary | Divide algebraic terms with positive coefficients (maximum power of 2). | drfrostmaths.com/explorer.php?ssid=2038 | ||

192e | Secondary | DELETED Divide algebraic terms. | drfrostmaths.com/explorer.php?ssid=612 | https://www.youtube.com/embed/c8UoxNsZC60 | K150 |

192e | Secondary | Divide algebraic terms with negative coefficients (maximum power of 2). | drfrostmaths.com/explorer.php?ssid=5183 | ||

192f | Secondary | Combine multiplication and division of algebraic terms. | drfrostmaths.com/explorer.php?ssid=2039 | ||

193 | Secondary | Exam Practice: Collecting like terms | drfrostmaths.com/explorer.php?ssid=3 | https://www.youtube.com/embed/PC8q9cyCgjI | E193 |

193a | Secondary | Add algebraic terms containing the same variable. | drfrostmaths.com/explorer.php?ssid=1748 | https://www.youtube.com/embed/8NdzmTWgUVs | |

193b | Secondary | Add and subtract algebraic terms containing the same variable. | drfrostmaths.com/explorer.php?ssid=762 | https://www.youtube.com/embed/aPS8KIsLFYs | K141 |

193c | Secondary | Collect like terms involving multiple variables, which are positive and without powers. | drfrostmaths.com/explorer.php?ssid=1361 | https://www.youtube.com/embed/HnHIX0nT3KE | K142 |

193d | Secondary | Collect like terms involving multiple variables and without powers. | drfrostmaths.com/explorer.php?ssid=609 | https://www.youtube.com/embed/6jbxQm0kXz0 | K143 |

193e | Secondary | Collect like terms with powers. | drfrostmaths.com/explorer.php?ssid=761 | https://www.youtube.com/embed/s32zrAyXr5o | K144 |

193f | Secondary | Collect like terms with powers and combinations of two variables within each term. | drfrostmaths.com/explorer.php?ssid=1722 | https://www.youtube.com/embed/fdq_Kg6aF0Q | |

194 | Secondary | Exam Practice: Algebraic index laws (basic) | drfrostmaths.com/explorer.php?ssid=4245 | E194 | |

194a | Secondary | Use laws of indices for multiplying powers with algebraic bases. | drfrostmaths.com/explorer.php?ssid=5184 | ||

194b | Secondary | Use laws of indices for dividing powers with algebraic bases. | drfrostmaths.com/explorer.php?ssid=5185 | ||

194c | Secondary | Multiply algebraic terms with powers. | drfrostmaths.com/explorer.php?ssid=611 | https://www.youtube.com/embed/PCMpIaDYWKU | K149 |

194d | Secondary | Divide algebraic terms with powers. | drfrostmaths.com/explorer.php?ssid=613 | https://www.youtube.com/embed/D_DMZhKfHUg | K151 |

194e | Secondary | Raise an algebraic term to the power of 0. | drfrostmaths.com/explorer.php?ssid=5186 | ||

194f | Secondary | Use laws of indices for raising a power to a power with an algebraic base. | drfrostmaths.com/explorer.php?ssid=5187 | ||

194g | Secondary | Simplify an expression using multiple index laws with a single algebraic variable. | drfrostmaths.com/explorer.php?ssid=1518 | K718 | |

194h | Secondary | Simplify an expression using multiple index laws with a single algebraic variable and fractional indices. | drfrostmaths.com/explorer.php?ssid=5188 | ||

194i | Secondary | Raise an algebraic term to a positive integer power. | drfrostmaths.com/explorer.php?ssid=817 | https://www.youtube.com/embed/jb8juV8Y4JY | K439 |

194j | Secondary | Raise an algebraic term containing fractional indices to a positive integer power. | drfrostmaths.com/explorer.php?ssid=5189 | ||

194k | Secondary | Simplify an expression using multiple index laws with multiple algebraic variables. | drfrostmaths.com/explorer.php?ssid=5190 | ||

194l | Secondary | Split a fraction using index laws where the exponents are fractional. | drfrostmaths.com/explorer.php?ssid=5191 | ||

195 | Secondary | Exam Practice: Function machines involving decimals, negative numbers and algebraic inputs | drfrostmaths.com/explorer.php?ssid=4246 | E195 | |

195a | Secondary | Calculate the input or output of a function machine involving a negative value. | drfrostmaths.com/explorer.php?ssid=2246 | ||

195b | Secondary | Calculate the input or output of a function machine involving a decimal value. | drfrostmaths.com/explorer.php?ssid=2364 | ||

195c | Secondary | Calculate the input or output of a function machine involving a fractional value. | drfrostmaths.com/explorer.php?ssid=2365 | ||

195d | Secondary | Determine an algebraic expression for the output of a function machine. | drfrostmaths.com/explorer.php?ssid=2240 | ||

195e | Secondary | Determine the missing operation in a function machine given a single variable as the input and an algebraic expression as the output. | drfrostmaths.com/explorer.php?ssid=2366 | ||

196 | Secondary | Exam Practice: Further substitution with positive integers (including powers, roots and brackets) | drfrostmaths.com/explorer.php?ssid=103 | https://www.youtube.com/embed/Cnu4wcuGEMw | E196 |

196a | Secondary | Substitute positive integers into an expression with one variable, including powers, roots and brackets. | drfrostmaths.com/explorer.php?ssid=1030 | https://www.youtube.com/embed/_3dQufRJ8Oo | K138 |

196b | Secondary | Substitute positive integers into an expression with two variables, including powers, roots and brackets. | drfrostmaths.com/explorer.php?ssid=1031 | https://www.youtube.com/embed/2HMz6TRh2Qg | K139 |

197 | Secondary | Exam Practice: Substitution with decimals, negative integers and fractions | drfrostmaths.com/explorer.php?ssid=4247 | E197 | |

197a | Secondary | Substitute decimals into basic algebraic expressions involving arithmetic operations. | drfrostmaths.com/explorer.php?ssid=5192 | ||

197b | Secondary | Substitute decimals into more general algebraic expressions, including powers, roots and brackets. | drfrostmaths.com/explorer.php?ssid=5193 | ||

197c | Secondary | Substitute decimals into algebraic expressions with variables on the denominator. | drfrostmaths.com/explorer.php?ssid=5194 | ||

197d | Secondary | Substitute negative numbers into basic algebraic expressions involving arithmetic operations. | drfrostmaths.com/explorer.php?ssid=5195 | ||

197e | Secondary | Substitute negative numbers into more general algebraic expressions, including powers, roots and brackets. | drfrostmaths.com/explorer.php?ssid=1032 | https://www.youtube.com/embed/WUXkIx8R5v0 | K140 |

197f | Secondary | Substitute negative numbers into algebraic expressions with variables on the denominator. | drfrostmaths.com/explorer.php?ssid=5196 | ||

197g | Secondary | Substitute fractions into basic algebraic expressions involving arithmetic operations. | drfrostmaths.com/explorer.php?ssid=5197 | ||

197h | Secondary | Substitute fractions into more general algebraic expressions, including powers, roots and brackets. | drfrostmaths.com/explorer.php?ssid=5198 | ||

197i | Secondary | Substitute fractions into algebraic expressions with variables on the denominator. | drfrostmaths.com/explorer.php?ssid=1944 | ||

198 | Secondary | Exam Practice: Forming algebraic expressions and formulae from a given context | drfrostmaths.com/explorer.php?ssid=104 | E198 | |

198a | Secondary | Form an expression with one operation and one variable. | drfrostmaths.com/explorer.php?ssid=1347 | https://www.youtube.com/embed/s6GJzO1Ff-4 | K165 |

198b | Secondary | Write a formula connecting variables with one operation. | drfrostmaths.com/explorer.php?ssid=5199 | ||

198c | Secondary | Form an expression with one variable and two operations. | drfrostmaths.com/explorer.php?ssid=1352 | https://www.youtube.com/embed/gxfkCU-xrwY | K166 |

198d | Secondary | Write a formula connecting variables with multiple operations. | drfrostmaths.com/explorer.php?ssid=5200 | ||

198e | Secondary | Write a formula connecting two variables from a rule written in words. | drfrostmaths.com/explorer.php?ssid=5201 | ||

198f | Secondary | Form an expression for a total quantity or cost involving two variables. | drfrostmaths.com/explorer.php?ssid=1451 | https://www.youtube.com/embed/LobR0TseB58 | K167 |

198g | Secondary | Form an expression from the perimeter of a 2D shape. | drfrostmaths.com/explorer.php?ssid=1349 | https://www.youtube.com/embed/rrUAJP6fMEI | K168 |

198h | Secondary | Form an expression from the area of a 2D shape. | drfrostmaths.com/explorer.php?ssid=5202 | ||

198i | Secondary | Determine an expression for an unknown side length given the perimeter or area of a 2D shape. | drfrostmaths.com/explorer.php?ssid=5203 | ||

199 | Secondary | Exam Practice: Solving linear equations where the variable appears on one side of the equation only | drfrostmaths.com/explorer.php?ssid=17 | https://www.youtube.com/embed/Da9cfL1Iauk | E199 |

199a | Secondary | Understand balancing algebraic equations where the same operation is applied to both sides of the equality. | drfrostmaths.com/explorer.php?ssid=5204 | ||

199b | Secondary | Solve a one-step linear equation. | drfrostmaths.com/explorer.php?ssid=635 | https://www.youtube.com/embed/TCIi4C2YzRM | K145 |

199c | Secondary | Solve a two-step equation where the solution is a positive integer. | drfrostmaths.com/explorer.php?ssid=658 | https://www.youtube.com/embed/5JU9Uh4nq-A | K146 |

199d | Secondary | DELETED Solve a general two-step equation. | drfrostmaths.com/explorer.php?ssid=1119 | https://www.youtube.com/embed/kjyS3qxx-Qk | K147 |

199d | Secondary | Solve a two-step equation where the solution is a negative integer. | drfrostmaths.com/explorer.php?ssid=2129 | ||

199e | Secondary | Solve a general linear equation where the solution may be written as a terminating decimal or a fraction. | drfrostmaths.com/explorer.php?ssid=2134 | ||

199f | Secondary | Solve a linear equation requiring simplification, with the variable on one side. | drfrostmaths.com/explorer.php?ssid=2168 | ||

199g | Secondary | Solve a linear equation requiring simplification where the solution may be written as a positive or negative terminating decimal or a fraction. | drfrostmaths.com/explorer.php?ssid=5205 | ||

199h | Secondary | Solve a linear equation with possible negative coefficient of the unknown. | drfrostmaths.com/explorer.php?ssid=842 | https://www.youtube.com/embed/VDKMWvBTGwA | K370 |

200 | Secondary | Exam Practice: Solving equations involving integer powers and their roots as inverses | drfrostmaths.com/explorer.php?ssid=415 | https://www.youtube.com/embed/AZg6ngfFlt4 | E200 |

200a | Secondary | Solve a one-step equation involving a variable squared. | drfrostmaths.com/explorer.php?ssid=5206 | ||

200b | Secondary | Solve a one-step equation involving a variable cubed. | drfrostmaths.com/explorer.php?ssid=8314 | ||

200c | Secondary | Solve a one-step equation involving a power of a variable where the power is 4 or above. | drfrostmaths.com/explorer.php?ssid=8315 | ||

200d | Secondary | Solve a one-step equation involving a square root of a variable. | drfrostmaths.com/explorer.php?ssid=5207 | ||

200e | Secondary | Solve a one-step equation involving a cube root of a variable. | drfrostmaths.com/explorer.php?ssid=5208 | ||

200f | Secondary | Solve a one-step equation involving the nth root of a variable, where n>3 | drfrostmaths.com/explorer.php?ssid=5209 | ||

200g | Secondary | Solve a two-step equation involving a power of a variable. | drfrostmaths.com/explorer.php?ssid=1686 | ||

200h | Secondary | Solve a two-step equation involving the nth root of a variable. | drfrostmaths.com/explorer.php?ssid=5210 | ||

200i | Secondary | Solve a multi-step equation involving powers and roots of a variable. | drfrostmaths.com/explorer.php?ssid=5211 | ||

200j | Secondary | Solve an equation where a power or root is involved on the denominator of a fraction. | drfrostmaths.com/explorer.php?ssid=5212 | ||

201 | Secondary | Exam Practice: Changing the subject where the variable appears once only, excluding brackets | drfrostmaths.com/explorer.php?ssid=14 | https://www.youtube.com/embed/y-cGpOFCB3Q | E201 |

201a | Secondary | Change the subject of a linear formula requiring a single step. | drfrostmaths.com/explorer.php?ssid=1008 | https://www.youtube.com/embed/euTMpMDGtQE | K359 |

201b | Secondary | Change the subject of a linear formula requiring two steps (including simple divisions). | drfrostmaths.com/explorer.php?ssid=974 | https://www.youtube.com/embed/5a3L6Q1uymI | K360 |

201c | Secondary | Change the subject of a formula where the subject is multiplied or divided by more than one constant or variable. | drfrostmaths.com/explorer.php?ssid=2339 | ||

201d | Secondary | Change the subject of a formula where the subject appears on the denominator of a fraction. | drfrostmaths.com/explorer.php?ssid=2337 | ||

201e | Secondary | Change the subject of a linear formula where the coefficient of the subject is negative. | drfrostmaths.com/explorer.php?ssid=2341 | ||

201f | Secondary | Change the subject of a formula where the subject is squared. | drfrostmaths.com/explorer.php?ssid=979 | https://www.youtube.com/embed/3xqx7C1opW4 | K363 |

201g | Secondary | Change the subject of a simple formula with a power of the subject. | drfrostmaths.com/explorer.php?ssid=2340 | ||

201h | Secondary | Change the subject of a simple formula with a root of the subject. | drfrostmaths.com/explorer.php?ssid=977 | https://www.youtube.com/embed/JhaQGWmEJs8 | K364 |

201i | Secondary | DELETED Change the subject of a linear formula with an expression divided by a constant or variable. | drfrostmaths.com/explorer.php?ssid=2338 | ||

202 | Secondary | Exam Practice: Distinguishing between different types of sequences | drfrostmaths.com/explorer.php?ssid=4248 | E202 | |

202a | Secondary | Identify named sequences such as square numbers, cube numbers, triangular numbers and the Fibonacci sequence. | drfrostmaths.com/explorer.php?ssid=5213 | ||

202b | Secondary | Identify if a sequence is linear, quadratic or geometric. | drfrostmaths.com/explorer.php?ssid=5214 | ||

203 | Secondary | Exam Practice: Describing, generating and continuing sequences using term-to-term rules | drfrostmaths.com/explorer.php?ssid=419 | https://www.youtube.com/embed/HpvmiG4-4Ys | E203 |

203a | Secondary | Describe the term-to-term rule of a sequence. | drfrostmaths.com/explorer.php?ssid=1979 | ||

203b | Secondary | Draw the next term in a pictorial sequence. | drfrostmaths.com/explorer.php?ssid=5215 | ||

203c | Secondary | Draw a later term in a pictorial sequence. | drfrostmaths.com/explorer.php?ssid=8322 | ||

203d | Secondary | Determine the number of items (e.g. squares) in a subsequent shape, following an arithmetic sequence. | drfrostmaths.com/explorer.php?ssid=1980 | ||

203e | Secondary | Generate an arithmetic sequence given the first term and the common difference. | drfrostmaths.com/explorer.php?ssid=5216 | ||

203f | Secondary | Generate a quadratic sequence given the first term and the common second difference. | drfrostmaths.com/explorer.php?ssid=5217 | ||

203g | Secondary | Generate a geometric sequence given the first term and the common ratio. | drfrostmaths.com/explorer.php?ssid=5218 | ||

203h | Secondary | Determine the next term(s) in an arithmetic sequence. | drfrostmaths.com/explorer.php?ssid=1163 | https://www.youtube.com/embed/1Cq5nPggsIY | K158 |

203i | Secondary | Determine the next term(s) in a quadratic sequence. | drfrostmaths.com/explorer.php?ssid=5219 | ||

203j | Secondary | Determine the next term(s) in a geometric sequence. | drfrostmaths.com/explorer.php?ssid=1757 | ||

203k | Secondary | Determine a later term in an arithmetic sequence. | drfrostmaths.com/explorer.php?ssid=2005 | ||

203l | Secondary | Determine a later term in a quadratic sequence. | drfrostmaths.com/explorer.php?ssid=1992 | ||

203m | Secondary | Determine a later term in a geometric sequence. | drfrostmaths.com/explorer.php?ssid=1586 | K761 | |

203n | Secondary | Determine a missing term in an arithmetic sequence with gaps. | drfrostmaths.com/explorer.php?ssid=1991 | ||

203o | Secondary | Determine a missing term in a geometric sequence with gaps. | drfrostmaths.com/explorer.php?ssid=1731 | ||

203p | Secondary | Continue a Fibonacci-style sequence. | drfrostmaths.com/explorer.php?ssid=1736 | https://www.youtube.com/embed/03KPPtuYUaA | |

203q | Secondary | Continue an arithmetic sequence where terms are algebraic. | drfrostmaths.com/explorer.php?ssid=5220 | ||

203r | Secondary | Continue a geometric sequence where terms are algebraic. | drfrostmaths.com/explorer.php?ssid=1735 | ||

203s | Secondary | Continue a Fibonacci-type sequence where terms are algebraic. | drfrostmaths.com/explorer.php?ssid=5221 | ||

204 | Secondary | Exam Practice: Generating terms of a sequence given a position-to-term rule | drfrostmaths.com/explorer.php?ssid=76 | https://www.youtube.com/embed/IqcVmglS36A | E204 |

204a | Secondary | Generate any term in a sequence using a linear nth term. | drfrostmaths.com/explorer.php?ssid=888 | https://www.youtube.com/embed/TmasnxrjPas | K163 |

204b | Secondary | Generate the first few terms of a sequence given a linear nth term. | drfrostmaths.com/explorer.php?ssid=1752 | ||

204c | Secondary | Generate terms in a sequence using a quadratic nth term. | drfrostmaths.com/explorer.php?ssid=5222 | ||

204d | Secondary | Generate terms in a sequence using a geometric nth term. | drfrostmaths.com/explorer.php?ssid=5223 | ||

204e | Secondary | Generate terms in a sequence using an nth term with brackets or powers greater than 2. | drfrostmaths.com/explorer.php?ssid=1049 | https://www.youtube.com/embed/rpDKPQkQ8Fo | K164 |

205 | Secondary | Exam Practice: nth term formula for arithmetic sequences (no standard formulae) | drfrostmaths.com/explorer.php?ssid=78 | https://www.youtube.com/embed/ujsVk8zqqFA | E205 |

205a | Secondary | Determine the nth term formula for an arithmetic sequence by comparison to an | drfrostmaths.com/explorer.php?ssid=5224 | ||

205b | Secondary | Determine the nth term formula for an ascending arithmetic sequence. | drfrostmaths.com/explorer.php?ssid=750 | https://www.youtube.com/embed/scFJlXIM2WA | K160 |

205c | Secondary | Determine the nth term formula for a descending arithmetic sequence. | drfrostmaths.com/explorer.php?ssid=1378 | https://www.youtube.com/embed/8S-ZgTxjpbc | K161 |

205d | Secondary | Determine the nth term formula for shapes in a sequence. | drfrostmaths.com/explorer.php?ssid=2066 | ||

205e | Secondary | Determine the nth term for a linear sequence with fractional terms. | drfrostmaths.com/explorer.php?ssid=5225 | ||

205f | Secondary | Determine the nth term formula for an ascending arithmetic sequence where n is algebraic. | drfrostmaths.com/explorer.php?ssid=2089 | ||

205g | Secondary | Use an existing formula for a linear sequence to determine the formula for a similar sequence. | drfrostmaths.com/explorer.php?ssid=5226 | ||

206 | Secondary | Exam Practice: Determining if a term belongs in an arithmetic sequence | drfrostmaths.com/explorer.php?ssid=81 | https://www.youtube.com/embed/ahgHYPquFK0 | E206 |

206a | Secondary | Determine whether a number is a term in an arithmetic sequence. | drfrostmaths.com/explorer.php?ssid=1338 | https://www.youtube.com/embed/L9ld4zWtg18 | K162 |

206b | Secondary | Determine the term number of a particular term in an arithmetic sequence. | drfrostmaths.com/explorer.php?ssid=2138 | ||

206c | Secondary | Determine the term in an arithmetic sequence closest to a particular number. | drfrostmaths.com/explorer.php?ssid=2139 | ||

207 | Secondary | Exam Practice: Mode, median, range from listed data | drfrostmaths.com/explorer.php?ssid=340 | https://www.youtube.com/embed/MDv7JYfw7eY | E207 |

207a | Secondary | Determine the mode from listed data. | drfrostmaths.com/explorer.php?ssid=669 | https://www.youtube.com/embed/SeH31kH5VUA | K237 |

207b | Secondary | Determine the median from listed data. | drfrostmaths.com/explorer.php?ssid=667 | https://www.youtube.com/embed/00xV5v85Gqw | K238 |

207c | Secondary | Calculate the range from listed data. | drfrostmaths.com/explorer.php?ssid=668 | https://www.youtube.com/embed/4cs6RrYWd0w | K239 |

207d | Secondary | Determine the median, mode and range from a table. | drfrostmaths.com/explorer.php?ssid=1894 | ||

207e | Secondary | Determine the median, mode and range from a chart. | drfrostmaths.com/explorer.php?ssid=1901 | ||

207f | Secondary | Select an appropriate average for a given context. | drfrostmaths.com/explorer.php?ssid=1914 | ||

207g | Secondary | Compare two sets of data using averages and the range. | drfrostmaths.com/explorer.php?ssid=1916 | ||

207h | Secondary | Determine the effect of an additional very large or very small value on the median and mean. | drfrostmaths.com/explorer.php?ssid=5227 | ||

207i | Secondary | Determine the change to the data that results in a change of the median, mode or range. | drfrostmaths.com/explorer.php?ssid=1915 | ||

207j | Secondary | Determine the median, mode and range from a list of algebraic data. | drfrostmaths.com/explorer.php?ssid=1919 | ||

207k | Secondary | Determine a list of integers given information about their mean, median, range and mode. | drfrostmaths.com/explorer.php?ssid=958 | https://www.youtube.com/embed/DV5kUU5uBbw | K241 |

208 | Secondary | Exam Practice: Combining means or dealing with changes to a mean | drfrostmaths.com/explorer.php?ssid=343 | https://www.youtube.com/embed/QpM3ZpIICCE | E208 |

208a | Secondary | Determine an unknown value given the mean and the other listed values. | drfrostmaths.com/explorer.php?ssid=957 | https://www.youtube.com/embed/IinVQwJjU1o | K240 |

208b | Secondary | Determine the value that resulted in a change of mean. | drfrostmaths.com/explorer.php?ssid=970 | https://www.youtube.com/embed/h2ufot_DGfg | K242 |

208c | Secondary | Determine the resulting mean when a value is removed or added. | drfrostmaths.com/explorer.php?ssid=971 | https://www.youtube.com/embed/fn6RFYVkUvw | K243 |

208d | Secondary | Determine the combined mean of two groups. | drfrostmaths.com/explorer.php?ssid=972 | https://www.youtube.com/embed/gPDUOY0-VyE | K244 |

208e | Secondary | Determine the mean of one group given the combined mean and the mean of the other group. | drfrostmaths.com/explorer.php?ssid=973 | https://www.youtube.com/embed/pDl5dBGV04A | K245 |

209 | Secondary | Exam Practice: Circumference of a full circle | drfrostmaths.com/explorer.php?ssid=476 | E209 | |

209a | Secondary | Calculate the circumference of a full circle given its radius. | drfrostmaths.com/explorer.php?ssid=711 | https://www.youtube.com/embed/QXo0wJ7lMhM | K287 |

209b | Secondary | Calculate the circumference of a full circle given its diameter. | drfrostmaths.com/explorer.php?ssid=713 | https://www.youtube.com/embed/R9pXICTkntE | K288 |

209c | Secondary | Calculate the exact circumference of a full circle. | drfrostmaths.com/explorer.php?ssid=1597 | https://www.youtube.com/embed/9cbSmBkSS7o | |

209d | Secondary | Determine the radius or diameter of a full circle given its circumference. | drfrostmaths.com/explorer.php?ssid=717 | https://www.youtube.com/embed/RWQ7uq1vhe0 | K289 |

209e | Secondary | Determine a cost involving the circumference of a full circle. | drfrostmaths.com/explorer.php?ssid=1998 | https://www.youtube.com/embed/rWnYtXPgq1Q | |

209f | Secondary | Determine the circumference of a full circle given the area or perimeter of a square it is inscribed in. | drfrostmaths.com/explorer.php?ssid=2011 | https://www.youtube.com/embed/mXkJeOmabUw | |

209g | Secondary | Determine the number of revolutions of a wheel across a given distance. | drfrostmaths.com/explorer.php?ssid=2022 | https://www.youtube.com/embed/3kFdUghaBog | |

210 | Secondary | Exam Practice: Area of a full circle | drfrostmaths.com/explorer.php?ssid=126 | https://www.youtube.com/embed/jOwlhcRGwdk | E210 |

210a | Secondary | Calculate the area of a full circle given its radius. | drfrostmaths.com/explorer.php?ssid=710 | https://www.youtube.com/embed/i0BYZx4cJgc | K290 |

210b | Secondary | Calculate the area of a full circle given its diameter. | drfrostmaths.com/explorer.php?ssid=712 | https://www.youtube.com/embed/4Z-7Clyh8LM | K291 |

210c | Secondary | Calculate the exact area of a full circle. | drfrostmaths.com/explorer.php?ssid=1598 | ||

210d | Secondary | Determine the radius of a circle given its area. | drfrostmaths.com/explorer.php?ssid=716 | https://www.youtube.com/embed/Bkif_A8ZMAU | K292 |

210e | Secondary | Determine missing lengths in a circle or a rectangle with related areas. | drfrostmaths.com/explorer.php?ssid=5228 | ||

210f | Secondary | Determine missing lengths in a circle or a triangle with related areas. | drfrostmaths.com/explorer.php?ssid=5229 | ||

211 | Secondary | Exam Practice: Area or perimeter of simple fractions of circles | drfrostmaths.com/explorer.php?ssid=477 | E211 | |

211a | Secondary | Calculate the area of a simple fraction of a circle. | drfrostmaths.com/explorer.php?ssid=714 | https://www.youtube.com/embed/COF_NjSfE54 | K294 |

211b | Secondary | Determine the perimeter of a simple fraction of a circle. | drfrostmaths.com/explorer.php?ssid=715 | https://www.youtube.com/embed/5haP2kYPoE0 | K293 |

211c | Secondary | Calculate the exact area of a simple fraction of a circle. | drfrostmaths.com/explorer.php?ssid=1599 | https://www.youtube.com/embed/-rFmCV6WDBo | |

211d | Secondary | Determine the exact perimeter of a simple fraction of a circle. | drfrostmaths.com/explorer.php?ssid=1600 | https://www.youtube.com/embed/D4HMeuJvoSk | |

211e | Secondary | Solve problems involving the cost of covering a fraction of a circle or the quantity of materials needed. | drfrostmaths.com/explorer.php?ssid=2034 | https://www.youtube.com/embed/nTGuKA4DTPU | |

211f | Secondary | Equate the area of fractions of circles or full circles to determine a length. | drfrostmaths.com/explorer.php?ssid=2035 | https://www.youtube.com/embed/GRaF9HP8_sk | |

211g | Secondary | Determine the shaded area where a semicircle is enclosed in a rectangle. | drfrostmaths.com/explorer.php?ssid=5230 | ||

212 | Secondary | Exam Practice: Perimeter of compound shapes that includes curved edges | drfrostmaths.com/explorer.php?ssid=351 | E212 | |

212a | Secondary | Determine the perimeter of a standard running track. | drfrostmaths.com/explorer.php?ssid=2094 | ||

212b | Secondary | Determine the perimeter of a compound shape involving a rectangle and a fraction of a circle. | drfrostmaths.com/explorer.php?ssid=2095 | ||

212c | Secondary | Determine the perimeter of a shape where a semicircle is cut from a rectangle. | drfrostmaths.com/explorer.php?ssid=2096 | ||

213 | Secondary | Exam Practice: Area of composite shapes involving circles | drfrostmaths.com/explorer.php?ssid=4249 | E213 | |

213a | Secondary | Determine the area of an annulus/ring. | drfrostmaths.com/explorer.php?ssid=5231 | ||

213b | Secondary | Determine the area of a fraction of an annulus/ring. | drfrostmaths.com/explorer.php?ssid=5232 | ||

213c | Secondary | Determine the shaded area where a circle is enclosed in a square. | drfrostmaths.com/explorer.php?ssid=5233 | ||

213d | Secondary | Determine the shaded area where one or more circles is enclosed in a rectangle. | drfrostmaths.com/explorer.php?ssid=1602 | https://www.youtube.com/embed/nmjUy3_OaFQ | |

213e | Secondary | Determine the exact shaded area where one or more circles is enclosed in a rectangle. | drfrostmaths.com/explorer.php?ssid=1603 | https://www.youtube.com/embed/nmjUy3_OaFQ | |

213f | Secondary | Determine the remaining area where a semicircle is cut from a quarter circle. | drfrostmaths.com/explorer.php?ssid=2110 | ||

213g | Secondary | Determine the area of a polygon joined to a fraction of a circle. | drfrostmaths.com/explorer.php?ssid=2180 | ||

213h | Secondary | Determine the area of a segment formed within a quarter circle. | drfrostmaths.com/explorer.php?ssid=5234 | ||

213i | Secondary | Solve problems involving cost and a composite shape with curved areas. | drfrostmaths.com/explorer.php?ssid=5235 | ||

213j | Secondary | Determine the length or area within a compound shape formed by two polygons (one non-rectangular), given the total area. | drfrostmaths.com/explorer.php?ssid=5236 | ||

214 | Secondary | Exam Practice: Determining what percentage one number is of another | drfrostmaths.com/explorer.php?ssid=49 | https://www.youtube.com/embed/-j0LFo1TKBg | E214 |

214a | Secondary | Determine what percentage one number is of another. | drfrostmaths.com/explorer.php?ssid=883 | https://www.youtube.com/embed/KJT1fti5lwU | K207 |

215 | Secondary | Exam Practice: Percentage change | drfrostmaths.com/explorer.php?ssid=50 | https://www.youtube.com/embed/3cVed2FkrYY | E215 |

215a | Secondary | Calculate a percentage change with a calculator. | drfrostmaths.com/explorer.php?ssid=1268 | https://www.youtube.com/embed/3n8i3Ca5qcQ | K208 |

215b | Secondary | Calculate percentage profit or loss when selling items at a fixed price. | drfrostmaths.com/explorer.php?ssid=2172 | ||

215c | Secondary | Calculate percentage profit or loss when selling items at variable prices. | drfrostmaths.com/explorer.php?ssid=2179 | ||

215d | Secondary | Calculate a percentage change in context (excluding profit/loss). | drfrostmaths.com/explorer.php?ssid=2266 | ||

216 | Secondary | Exam Practice: Percentage error and relative error | drfrostmaths.com/explorer.php?ssid=4250 | E216 | |

216a | Secondary | Calculate percentage error. | drfrostmaths.com/explorer.php?ssid=2242 | ||

216b | Secondary | Calculate relative error. | drfrostmaths.com/explorer.php?ssid=5237 | ||

217 | Secondary | Exam Practice: Percentage of an amount, greater than 100%, by chunking | drfrostmaths.com/explorer.php?ssid=4251 | E217 | |

217a | Secondary | Calculate a percentage of an amount (greater than 100%) by chunking. | drfrostmaths.com/explorer.php?ssid=5238 | ||

218 | Secondary | Exam Practice: Percentage of an amount, by multiplying by an equivalent fraction | drfrostmaths.com/explorer.php?ssid=4252 | E218 | |

218a | Secondary | Rewrite a percentage calculation using an equivalent fraction. | drfrostmaths.com/explorer.php?ssid=5239 | ||

218b | Secondary | Calculate a percentage of an amount (less than 100%) by multiplication by an equivalent fraction. | drfrostmaths.com/explorer.php?ssid=5240 | ||

218c | Secondary | Calculate a percentage of an amount (greater than 100%) by multiplication by an equivalent fraction. | drfrostmaths.com/explorer.php?ssid=5241 | ||

219 | Secondary | Exam Practice: Percentage of an amount, using decimal multipliers | drfrostmaths.com/explorer.php?ssid=537 | E219 | |

219a | Secondary | Determine the decimal multiplier for a percentage less than 100%. | drfrostmaths.com/explorer.php?ssid=1202 | https://www.youtube.com/embed/zNh1_IGyqbE | K211 |

219b | Secondary | Calculate the percentage of an amount (less than 100%) using decimal multipliers. | drfrostmaths.com/explorer.php?ssid=620 | https://www.youtube.com/embed/16Cw4UIYW74 | K213 |

219c | Secondary | Determine the decimal multiplier for a percentage greater than 100%. | drfrostmaths.com/explorer.php?ssid=5242 | ||

219d | Secondary | Calculate the percentage of an amount (greater than 100%) using decimal multipliers. | drfrostmaths.com/explorer.php?ssid=5243 | ||

219e | Secondary | Determine the decimal multiplier where the percentage is a decimal. | drfrostmaths.com/explorer.php?ssid=1292 | https://www.youtube.com/embed/wWfI-RNuYXc | K212 |

219f | Secondary | Calculate simple interest. | drfrostmaths.com/explorer.php?ssid=969 | https://www.youtube.com/embed/lACnWvGArhg | K426 |

219g | Secondary | Solve a multi-step problem in context involving a percentage of an amount. | drfrostmaths.com/explorer.php?ssid=1876 | https://www.youtube.com/embed/fdlMYi5j-VM | |

219h | Secondary | Determine the percentage of some portion of an amount. | drfrostmaths.com/explorer.php?ssid=1886 | https://www.youtube.com/embed/JUdKlhKVfYo | |

219i | Secondary | Calculate tax due on a salary or purchase based on allowances and different thresholds. | drfrostmaths.com/explorer.php?ssid=1892 | https://www.youtube.com/embed/kEz7OlM03xg | |

220 | Secondary | Exam Practice: Value after a simple percentage change, using non-calculator methods | drfrostmaths.com/explorer.php?ssid=52 | https://www.youtube.com/embed/YIkRY0curBc | E220 |

220a | Secondary | Increase or decrease an amount by a percentage using chunking. | drfrostmaths.com/explorer.php?ssid=834 | https://www.youtube.com/embed/9HdjlMAhBbw | K210 |

220b | Secondary | Solve problems in context involving percentage changes and arithmetic operations, without a calculator. | drfrostmaths.com/explorer.php?ssid=5244 | ||

220c | Secondary | Solve value for money problems involving a percentage change without a calculator. | drfrostmaths.com/explorer.php?ssid=5245 | ||

221 | Secondary | Exam Practice: Value after a general percentage change, using decimal multipliers | drfrostmaths.com/explorer.php?ssid=536 | E221 | |

221a | Secondary | Determine the decimal multiplier that would lead to a percentage increase or decrease. | drfrostmaths.com/explorer.php?ssid=1875 | https://www.youtube.com/embed/3F9LpJEyGLE | |

221b | Secondary | Increase or decrease an amount by a percentage with a calculator. | drfrostmaths.com/explorer.php?ssid=621 | https://www.youtube.com/embed/AsW_3-w7vHA | K214 |

221c | Secondary | Solve a multi-step problem in context involving a percentage change with decimal multipliers. | drfrostmaths.com/explorer.php?ssid=1895 | https://www.youtube.com/embed/2fnHP-44Gtg | |

221d | Secondary | Solve value for money problems involving a percentage change with a calculator. | drfrostmaths.com/explorer.php?ssid=5246 | ||

222 | Secondary | Exam Practice: Reverse percentage problems using chunking | drfrostmaths.com/explorer.php?ssid=4253 | E222 | |

222a | Secondary | Calculate the original value before a percentage increase using chunking. | drfrostmaths.com/explorer.php?ssid=5247 | ||

222b | Secondary | Calculate the original value before a percentage decrease using chunking. | drfrostmaths.com/explorer.php?ssid=5248 | ||

223 | Secondary | Exam Practice: Reverse percentage problems using decimal multipliers | drfrostmaths.com/explorer.php?ssid=53 | https://www.youtube.com/embed/48KHVQJfwPc | E223 |

223a | Secondary | Calculate the original value before a percentage increase using decimal multipliers. | drfrostmaths.com/explorer.php?ssid=744 | https://www.youtube.com/embed/BrpHQyMFI48 | K424 |

223b | Secondary | Calculate the original value before a percentage decrease using decimal multipliers. | drfrostmaths.com/explorer.php?ssid=745 | https://www.youtube.com/embed/aIcEnfI0hDY | K425 |

224 | Secondary | Exam Practice: Simplifying ratios and forming ratios from a given context | drfrostmaths.com/explorer.php?ssid=66 | https://www.youtube.com/embed/7_UQJ82Et2M | E224 |

224a | Secondary | Write a ratio with two parts in its simplest form. | drfrostmaths.com/explorer.php?ssid=955 | https://www.youtube.com/embed/26IywWqJb6g | K196 |

224b | Secondary | Write a ratio with three parts in its simplest form. | drfrostmaths.com/explorer.php?ssid=5249 | ||

224c | Secondary | Write a ratio in simplest form from a diagram (no simplifying). | drfrostmaths.com/explorer.php?ssid=5250 | ||

224d | Secondary | Simplify a ratio involving mismatched metric units or time (excluding distance). | drfrostmaths.com/explorer.php?ssid=1569 | K749 | |

224e | Secondary | Write a ratio in the form 1 : n or n : 1. | drfrostmaths.com/explorer.php?ssid=956 | https://www.youtube.com/embed/9q-SwK4n0MA | K197 |

224f | Secondary | Determine the fraction that a number within a ratio represents. | drfrostmaths.com/explorer.php?ssid=1259 | https://www.youtube.com/embed/WEghvbonx00 | K198 |

224g | Secondary | Convert fractional amounts to a ratio. | drfrostmaths.com/explorer.php?ssid=5251 | ||

224h | Secondary | Determine the percentage that a number within a ratio represents. | drfrostmaths.com/explorer.php?ssid=1260 | https://www.youtube.com/embed/D1m8XsIoVNA | K199 |

224i | Secondary | Determine a ratio from a given context. | drfrostmaths.com/explorer.php?ssid=1441 | K200 | |

224j | Secondary | Convert an equation involving two variables into a ratio. | drfrostmaths.com/explorer.php?ssid=1255 | https://www.youtube.com/embed/7ou72pnJ47s | K695 |

225 | Secondary | Exam Practice: Finding a quantity within a ratio where either the total amount, a particular amount or a difference in an amount is given | drfrostmaths.com/explorer.php?ssid=67 | https://www.youtube.com/embed/bp4Auq5CZTk | E225 |

225a | Secondary | Share an amount into a ratio with two parts. | drfrostmaths.com/explorer.php?ssid=704 | https://www.youtube.com/embed/iN7nEIkxD5o | K202 |

225b | Secondary | Share an amount into a ratio with three parts. | drfrostmaths.com/explorer.php?ssid=705 | https://www.youtube.com/embed/yu6l8tGIn80 | K203 |

225c | Secondary | Determine a value in a ratio when the total of the parts is given. | drfrostmaths.com/explorer.php?ssid=5252 | ||

225d | Secondary | Determine a value in a ratio when one amount is given. | drfrostmaths.com/explorer.php?ssid=1267 | https://www.youtube.com/embed/6ldL4hoCTfM | K205 |

225e | Secondary | Determine a value in a ratio when the difference between two amounts is given. | drfrostmaths.com/explorer.php?ssid=1266 | https://www.youtube.com/embed/_3VqXZZEibw | K204 |

225f | Secondary | Share quantities in a ratio to subsequently calculate cost. | drfrostmaths.com/explorer.php?ssid=5253 | ||

226 | Secondary | Exam Practice: Relationship between fractions, percentages and ratio | drfrostmaths.com/explorer.php?ssid=4254 | E226 | |

226a | Secondary | Determine the fraction of the whole represented by each part of a given ratio. | drfrostmaths.com/explorer.php?ssid=5254 | ||

226b | Secondary | Determine the percentage of the whole represented by each part of a given ratio. | drfrostmaths.com/explorer.php?ssid=5255 | ||

226c | Secondary | Solve problems involving fractions, percentages and ratios. | drfrostmaths.com/explorer.php?ssid=5256 | ||

227 | Secondary | Exam Practice: Combining ratios and proportions into a single ratio | drfrostmaths.com/explorer.php?ssid=534 | E227 | |

227a | Secondary | Combine two ratios to form one. | drfrostmaths.com/explorer.php?ssid=1256 | https://www.youtube.com/embed/s5XwgzsP2S4 | K206 |

227b | Secondary | Combine two ratios to determine what fraction or percentage of items are a particular type. | drfrostmaths.com/explorer.php?ssid=1877 | https://www.youtube.com/embed/ddS4XQBo61k | |

227c | Secondary | Combine two ratios involving algebraic terms. | drfrostmaths.com/explorer.php?ssid=1878 | https://www.youtube.com/embed/4NO9ubB3cLM | |

227d | Secondary | Determine a value in a ratio when another ratio and an amount is given. | drfrostmaths.com/explorer.php?ssid=1879 | https://www.youtube.com/embed/EREyvmYou4k | |

227e | Secondary | Combine two three-part ratios to form one. | drfrostmaths.com/explorer.php?ssid=1887 | https://www.youtube.com/embed/IBkKsvy87ak | |

227f | Secondary | Combine ratios in order to reflect on the total possible quantity of items. | drfrostmaths.com/explorer.php?ssid=1888 | https://www.youtube.com/embed/fttY0kXyiUM | |

227g | Secondary | Problem solve involving combining ratios and lengths. | drfrostmaths.com/explorer.php?ssid=1889 | https://www.youtube.com/embed/Jv945wtecxc | |

227h | Secondary | Combine ratios where the second ratio is a subdivision of one of the parts of the first. | drfrostmaths.com/explorer.php?ssid=1893 | https://www.youtube.com/embed/4yR3vnIbqe4 | |

227i | Secondary | Combine ratios where the second two ratios are subdivisions of each part of the first. | drfrostmaths.com/explorer.php?ssid=1897 | https://www.youtube.com/embed/HyFbyToLcIM | |

227j | Secondary | Form a four-part ratio. | drfrostmaths.com/explorer.php?ssid=1566 | https://www.youtube.com/embed/74e8qwwatRg | K746 |

228 | Secondary | Exam Practice: Front elevation, side elevation and plan of a 3D shape | drfrostmaths.com/explorer.php?ssid=402 | https://www.youtube.com/embed/LAtTeUmSBBE | E228 |

228a | Secondary | Draw the front elevation, side elevation or plan of a shape made from 1 \,\textrm{cm}^3 blocks. | drfrostmaths.com/explorer.php?ssid=5257 | ||

228b | Secondary | Draw the front elevation, side elevation or plan of a 3D shape on squared paper. | drfrostmaths.com/explorer.php?ssid=1014 | https://www.youtube.com/embed/pqD0Obttzyc | K545 |

229 | Secondary | Exam Practice: Draw 3D shapes on isometric paper. | drfrostmaths.com/explorer.php?ssid=4255 | E229 | |

229a | Secondary | Draw a shape made of 1 \,\textrm{cm}^3 blocks on isometric paper. | drfrostmaths.com/explorer.php?ssid=5258 | ||

229b | Secondary | Draw cubes and cuboids to scale on isometric paper. | drfrostmaths.com/explorer.php?ssid=5259 | ||

229c | Secondary | Draw triangular prisms on isometric paper. | drfrostmaths.com/explorer.php?ssid=5260 | ||

229d | Secondary | Draw prisms with rectilinear cross-sections on isometric paper. | drfrostmaths.com/explorer.php?ssid=5261 | ||

229e | Secondary | Draw a 3D shape on isometric paper given its net. | drfrostmaths.com/explorer.php?ssid=5262 | ||

229f | Secondary | Draw a 3D shape on isometric paper, given its plan and elevations. | drfrostmaths.com/explorer.php?ssid=5263 | ||

230 | Secondary | Exam Practice: Problem solving involving volume of a cuboid | drfrostmaths.com/explorer.php?ssid=4256 | E230 | |

230a | Secondary | Calculate an unknown dimension of a cuboid given its volume. | drfrostmaths.com/explorer.php?ssid=1363 | https://www.youtube.com/embed/QbbqCyiGyAI | K312 |

230b | Secondary | Calculate an unknown dimension of a cube given its volume. | drfrostmaths.com/explorer.php?ssid=5264 | ||

230c | Secondary | Solve problems involving the depth of a filled container. | drfrostmaths.com/explorer.php?ssid=1918 | https://www.youtube.com/embed/04_mQG5EQlA | |

230d | Secondary | Solve problems involving the capacity of one cuboid in terms of the volume of another. | drfrostmaths.com/explorer.php?ssid=1924 | ||

230e | Secondary | Solve problems involving cuboids with equal volume. | drfrostmaths.com/explorer.php?ssid=1925 | ||

230f | Secondary | Form an expression for the volume of a cuboid or cube. | drfrostmaths.com/explorer.php?ssid=5265 | ||

231 | Secondary | Exam Practice: Volume of a prism | drfrostmaths.com/explorer.php?ssid=113 | https://www.youtube.com/embed/4aGCTP4XYtw | E231 |

231a | Secondary | Determine the volume of a prism by counting cubes in the cross-section. | drfrostmaths.com/explorer.php?ssid=5266 | ||

231b | Secondary | Calculate the volume of a prism, given the area of the cross-section. | drfrostmaths.com/explorer.php?ssid=5267 | ||

231c | Secondary | Calculate the volume of a prism, where the area of the cross-section must be calculated. | drfrostmaths.com/explorer.php?ssid=778 | https://www.youtube.com/embed/XkmjAxDJ71M | K313 |

231d | Secondary | Calculate the volume of a prism where the cross section is a compound shape. | drfrostmaths.com/explorer.php?ssid=1659 | ||

231e | Secondary | Determine an unknown dimension in a triangular prism given the volume. | drfrostmaths.com/explorer.php?ssid=1535 | https://www.youtube.com/embed/F1Zkr7hszKY | K731 |

231f | Secondary | Determine the volume of a composite solid made from other prisms joined together. | drfrostmaths.com/explorer.php?ssid=5268 | ||

231g | Secondary | Determine the volume of a solid involving one prism cut out of another. | drfrostmaths.com/explorer.php?ssid=5269 | ||

231h | Secondary | Form an expression from the volume of a prism. | drfrostmaths.com/explorer.php?ssid=5270 | ||

232 | Secondary | Exam Practice: Surface area of a cuboid and prisms | drfrostmaths.com/explorer.php?ssid=379 | https://www.youtube.com/embed/EHsP0fGlQkM | E232 |

232a | Secondary | Calculate the surface area of a cuboid. | drfrostmaths.com/explorer.php?ssid=676 | https://www.youtube.com/embed/gi-cuUDmJw0 | K315 |

232b | Secondary | Calculate the surface area of a cube. | drfrostmaths.com/explorer.php?ssid=5271 | ||

232c | Secondary | Form an expression for the surface area of a cuboid. | drfrostmaths.com/explorer.php?ssid=5272 | ||

232d | Secondary | Determine the side length of a cube given its surface area. | drfrostmaths.com/explorer.php?ssid=5273 | ||

232e | Secondary | Determine a missing dimension of a cube given its surface area and two other dimensions. | drfrostmaths.com/explorer.php?ssid=5274 | ||

232f | Secondary | Determine the surface area of a cube given its volume. | drfrostmaths.com/explorer.php?ssid=5275 | ||

232g | Secondary | Determine the volume of a cube given its surface area. | drfrostmaths.com/explorer.php?ssid=5276 | ||

232h | Secondary | Calculate the surface area of a prism. | drfrostmaths.com/explorer.php?ssid=1027 | https://www.youtube.com/embed/G1yv3mfPg_Y | K314 |

232i | Secondary | Form an expression for the surface area of a prism. | drfrostmaths.com/explorer.php?ssid=5277 | ||

232j | Secondary | Determine a missing dimension of a prism given its surface area and other dimensions. | drfrostmaths.com/explorer.php?ssid=5278 | ||

232k | Secondary | Calculate costs using a surface area. | drfrostmaths.com/explorer.php?ssid=1505 | K709 | |

233 | Secondary | Exam Practice: Volume of a cylinder | drfrostmaths.com/explorer.php?ssid=394 | https://www.youtube.com/embed/JOqKkrBBJHQ | E233 |

233a | Secondary | Calculate the volume of a cylinder from its radius and height. | drfrostmaths.com/explorer.php?ssid=813 | https://www.youtube.com/embed/hZdcXE83LxU | K316 |

233b | Secondary | Calculate the volume of a cylinder from its diameter and height. | drfrostmaths.com/explorer.php?ssid=814 | https://www.youtube.com/embed/ZhHpG0jXlCM | K317 |

233c | Secondary | Calculate the volume of a semi-cylinder from its diameter or radius. | drfrostmaths.com/explorer.php?ssid=8271 | ||

233d | Secondary | Determine an unknown dimension of a cylinder given its volume. | drfrostmaths.com/explorer.php?ssid=1533 | K729 | |

233e | Secondary | Determine an unknown dimension of a semi-cylinder given its volume. | drfrostmaths.com/explorer.php?ssid=8272 | ||

233f | Secondary | Determine the volume of a composite solid, one of them cylindrical. | drfrostmaths.com/explorer.php?ssid=5279 | ||

233g | Secondary | Determine the volume of a solid involving one solid cut out of another, one of them cylindrical. | drfrostmaths.com/explorer.php?ssid=5280 | ||

233h | Secondary | Determine the volume of a composite solid, one of them semi-cylindrical. | drfrostmaths.com/explorer.php?ssid=8273 | ||

233i | Secondary | Solve problems involving cylinders with equal volume. | drfrostmaths.com/explorer.php?ssid=5281 | ||

233j | Secondary | Determine an expression for a volume involving algebraic lengths. | drfrostmaths.com/explorer.php?ssid=5282 | ||

234 | Secondary | Exam Practice: Surface area of a cylinder | drfrostmaths.com/explorer.php?ssid=425 | https://www.youtube.com/embed/dRfozegH8TE | E234 |

234a | Secondary | Calculate the surface area of a cylinder from its radius and height. | drfrostmaths.com/explorer.php?ssid=1382 | https://www.youtube.com/embed/Yo0t7a1_qr8 | K318 |

234b | Secondary | Calculate the surface area of a cylinder from its diameter and height. | drfrostmaths.com/explorer.php?ssid=1381 | https://www.youtube.com/embed/yW-Vorzr1NM | K319 |

234c | Secondary | Calculate the surface area of a semi-cylinder from its diameter or radius. | drfrostmaths.com/explorer.php?ssid=8274 | ||

234d | Secondary | Determine the height of a cylinder given its surface area. | drfrostmaths.com/explorer.php?ssid=1534 | K730 | |

234e | Secondary | Determine an unknown dimension of a semi-cylinder given its volume. | drfrostmaths.com/explorer.php?ssid=8275 | ||

234f | Secondary | Solve problems involving coating or covering a cylinder. | drfrostmaths.com/explorer.php?ssid=2299 | ||

234g | Secondary | Determine the surface area of a cylinder given the volume and a length. | drfrostmaths.com/explorer.php?ssid=2300 | ||

234h | Secondary | Determine the surface area of a composite solid, involving a cylinder. | drfrostmaths.com/explorer.php?ssid=2363 | ||

234i | Secondary | Determine the surface area of a composite solid, involving a semi-cylinder. | drfrostmaths.com/explorer.php?ssid=8276 | ||

235 | Secondary | Exam Practice: Reading and interpreting ungrouped frequency tables | drfrostmaths.com/explorer.php?ssid=416 | https://www.youtube.com/embed/x0hRBgO47oo | E235 |

235a | Secondary | Read frequency values from ungrouped frequency tables. | drfrostmaths.com/explorer.php?ssid=1401 | https://www.youtube.com/embed/9xOsjkfe4lY | K246 |

235b | Secondary | Form an ungrouped frequency table from discrete data. | drfrostmaths.com/explorer.php?ssid=703 | https://www.youtube.com/embed/Kf3tsCFWIGA | K247 |

235c | Secondary | Calculate the total from an ungrouped frequency table. | drfrostmaths.com/explorer.php?ssid=1436 | https://www.youtube.com/embed/d716EPk27pk | K248 |

235d | Secondary | Determine an unknown frequency in an ungrouped frequency table, given the total. | drfrostmaths.com/explorer.php?ssid=5283 | ||

236 | Secondary | Exam Practice: Mean from ungrouped frequency tables | drfrostmaths.com/explorer.php?ssid=342 | https://www.youtube.com/embed/Ufl4WNDlCXA | E236 |

236a | Secondary | Calculate mean from ungrouped frequency tables. | drfrostmaths.com/explorer.php?ssid=742 | https://www.youtube.com/embed/PknjEHjGsos | K249 |

236b | Secondary | Determine an unknown frequency in an ungrouped frequency table, given the mean. | drfrostmaths.com/explorer.php?ssid=5284 | ||

236c | Secondary | Determine the mean from a pictogram. | drfrostmaths.com/explorer.php?ssid=5285 | ||

236d | Secondary | Determine the mean from a bar chart. | drfrostmaths.com/explorer.php?ssid=5286 | ||

237 | Secondary | Exam Practice: Median, mode and range from ungrouped frequency tables | drfrostmaths.com/explorer.php?ssid=4257 | E237 | |

237a | Secondary | Determine the median from an ungrouped frequency table. | drfrostmaths.com/explorer.php?ssid=1394 | https://www.youtube.com/embed/-Uwe-x9FUrk | K252 |

237b | Secondary | Determine the mode from an ungrouped frequency table. | drfrostmaths.com/explorer.php?ssid=1387 | https://www.youtube.com/embed/d31sB8NM27k | K250 |

237c | Secondary | Calculate the range from an ungrouped frequency table. | drfrostmaths.com/explorer.php?ssid=1402 | https://www.youtube.com/embed/vn5Lw8Y75tw | K251 |

238 | Secondary | Exam Practice: Two-way tables | drfrostmaths.com/explorer.php?ssid=413 | https://www.youtube.com/embed/7QvcSidIuhk | E238 |

238a | Secondary | Read values off a two-way table. | drfrostmaths.com/explorer.php?ssid=5287 | ||

238b | Secondary | Complete a partially filled two-way table. | drfrostmaths.com/explorer.php?ssid=965 | https://www.youtube.com/embed/CdPxbM5FkIU | K84 |

238c | Secondary | Complete an empty two-way table using written information. | drfrostmaths.com/explorer.php?ssid=5288 | ||

238d | Secondary | Use written information to determine an unknown frequency, via use of a two-way table. | drfrostmaths.com/explorer.php?ssid=5289 | ||

239 | Secondary | Exam Practice: Dual and stacked bar charts | drfrostmaths.com/explorer.php?ssid=4258 | E239 | |

239a | Secondary | Read off a single value from a dual bar chart. | drfrostmaths.com/explorer.php?ssid=5290 | ||

239b | Secondary | Calculate the difference between values in a dual bar chart. | drfrostmaths.com/explorer.php?ssid=5291 | ||

239c | Secondary | Identify a value pair with the highest or lowest overall total. | drfrostmaths.com/explorer.php?ssid=5292 | ||

239d | Secondary | Identify value pairs with a given total or constraint. | drfrostmaths.com/explorer.php?ssid=5293 | ||

239e | Secondary | Identify the total of each data set in a dual bar chart. | drfrostmaths.com/explorer.php?ssid=5294 | ||

239f | Secondary | Read off a single value from a stacked bar chart. | drfrostmaths.com/explorer.php?ssid=5295 | ||

239g | Secondary | Calculate totals from a stacked bar chart. | drfrostmaths.com/explorer.php?ssid=5296 | ||

239h | Secondary | Calculate the difference between values in a stacked bar chart. | drfrostmaths.com/explorer.php?ssid=5297 | ||

239i | Secondary | Interpret a back-to-back bar chart. | drfrostmaths.com/explorer.php?ssid=5298 | ||

240 | Secondary | Exam Practice: Stem-and-leaf diagrams | drfrostmaths.com/explorer.php?ssid=407 | E240 | |

240a | Secondary | Draw a stem-and-leaf diagram. | drfrostmaths.com/explorer.php?ssid=723 | https://www.youtube.com/embed/AZPCcHqG6uA | K261 |

240b | Secondary | Interpret a stem-and-leaf diagram. | drfrostmaths.com/explorer.php?ssid=5299 | ||

240c | Secondary | Determine the mode from a stem-and-leaf diagram. | drfrostmaths.com/explorer.php?ssid=726 | https://www.youtube.com/embed/o0yl5xDJQw0 | K264 |

240d | Secondary | Calculate the range from a stem-and-leaf diagram. | drfrostmaths.com/explorer.php?ssid=727 | https://www.youtube.com/embed/cnUZx9nt9XQ | K265 |

240e | Secondary | Determine the median from a stem-and-leaf diagram. | drfrostmaths.com/explorer.php?ssid=725 | https://www.youtube.com/embed/1bAhrqOZegk | K263 |

240f | Secondary | Calculate the mean from a stem-and-leaf diagram. | drfrostmaths.com/explorer.php?ssid=724 | K262 | |

240g | Secondary | Draw a back-to-back stem-and-leaf diagram. | drfrostmaths.com/explorer.php?ssid=5300 | ||

240h | Secondary | Interpret data in a back-to-back stem-and-leaf diagram. | drfrostmaths.com/explorer.php?ssid=5301 | ||

240i | Secondary | Compare data sets using stem-and-leaf diagrams. | drfrostmaths.com/explorer.php?ssid=5302 | ||

240j | Secondary | Determine a change to the range or median given updated data in a stem-and-leaf diagrams. | drfrostmaths.com/explorer.php?ssid=5303 | ||

241 | Secondary | Exam Practice: Frequency trees | drfrostmaths.com/explorer.php?ssid=4259 | E241 | |

241a | Secondary | Read values off a frequency tree. | drfrostmaths.com/explorer.php?ssid=5304 | ||

241b | Secondary | Draw a frequency tree from written information. | drfrostmaths.com/explorer.php?ssid=1012 | https://www.youtube.com/embed/PcCFVFzga04 | K85 |

242 | Secondary | Exam Practice: Construct Venn diagrams | drfrostmaths.com/explorer.php?ssid=358 | https://www.youtube.com/embed/7s8bN0J7jbE | E242 |

242a | Secondary | Understand what each region of a Venn diagram with 2 sets represents. | drfrostmaths.com/explorer.php?ssid=5305 | ||

242b | Secondary | Draw a Venn diagram to indicate relationships between different groups. | drfrostmaths.com/explorer.php?ssid=5306 | ||

242c | Secondary | Construct a Venn diagram with 2 sets from a list of elements. | drfrostmaths.com/explorer.php?ssid=1626 | ||

242d | Secondary | Construct a Venn diagram with 2 sets given totals. | drfrostmaths.com/explorer.php?ssid=1041 | https://www.youtube.com/embed/2426CiY-sOg | K465 |

242e | Secondary | Construct a Venn diagram for mutually exclusive events. | drfrostmaths.com/explorer.php?ssid=5307 | ||

242f | Secondary | Construct a Venn diagram where one set is a subset of another. | drfrostmaths.com/explorer.php?ssid=5308 | ||

242g | Secondary | Construct a Venn diagram with 3 sets given totals. | drfrostmaths.com/explorer.php?ssid=1133 | https://www.youtube.com/embed/_3PdqHV0qhk | K466 |

243 | Secondary | Exam Practice: Union, intersection and complements of sets, including the universal and empty sets | drfrostmaths.com/explorer.php?ssid=359 | https://www.youtube.com/embed/4fu0NsDhc_g | E243 |

243a | Secondary | Recognise set notation for the universal set, union, intersection and complement from a shaded Venn diagram with 2 sets. | drfrostmaths.com/explorer.php?ssid=1316 | https://www.youtube.com/embed/b1ZetSJaQkw | K467 |

243b | Secondary | Understand notation for subsets, membership and empty sets. | drfrostmaths.com/explorer.php?ssid=5309 | ||

243c | Secondary | Recognise set notation for the set difference from a shaded Venn diagram with 2 sets. | drfrostmaths.com/explorer.php?ssid=5310 | ||

243d | Secondary | Combine various elements of set notation for a Venn diagram with 2 sets, including associativity and distributivity of notation. | drfrostmaths.com/explorer.php?ssid=5311 | ||

243e | Secondary | Recognise set notation for the universal set, union, intersection and complement from a shaded Venn diagram with 3 sets. | drfrostmaths.com/explorer.php?ssid=5312 | ||

243f | Secondary | List elements using set notation. | drfrostmaths.com/explorer.php?ssid=1570 | K750 | |

243g | Secondary | Determine the number of elements in a set given a list. | drfrostmaths.com/explorer.php?ssid=1571 | K751 | |

243h | Secondary | Determine the number of elements in a set given a Venn diagram of frequencies. | drfrostmaths.com/explorer.php?ssid=5313 | ||

243i | Secondary | Construct a Venn diagram of frequencies given numbers of elements in various sets. | drfrostmaths.com/explorer.php?ssid=5314 | ||

244 | Secondary | Exam Practice: Scatter graphs and correlation | drfrostmaths.com/explorer.php?ssid=338 | E244 | |

244a | Secondary | Plot a point on a scatter graph. | drfrostmaths.com/explorer.php?ssid=894 | https://www.youtube.com/embed/yHRU5zmOXnI | K258 |

244b | Secondary | Interpret points on a scatter graph. | drfrostmaths.com/explorer.php?ssid=2315 | ||

244c | Secondary | Identify an outlier on a scatter graph. | drfrostmaths.com/explorer.php?ssid=2293 | ||

244d | Secondary | State the correlation represented on a scatter graph. | drfrostmaths.com/explorer.php?ssid=896 | https://www.youtube.com/embed/KKq9yvBNr8g | K259 |

244e | Secondary | State the strength of the correlation represented on a scatter graph. | drfrostmaths.com/explorer.php?ssid=2330 | ||

244f | Secondary | Interpret the correlation represented on a scatter graph. | drfrostmaths.com/explorer.php?ssid=2331 | ||

244g | Secondary | Calculate the mean from some points on a scatter diagram. | drfrostmaths.com/explorer.php?ssid=2279 | ||

244h | Secondary | Summarise data from a scatter graph. | drfrostmaths.com/explorer.php?ssid=2332 | ||

245 | Secondary | Exam Practice: Line of best fit | drfrostmaths.com/explorer.php?ssid=4260 | E245 | |

245a | Secondary | Plot a line of best fit on a scatter graph. | drfrostmaths.com/explorer.php?ssid=5315 | ||

245b | Secondary | Use a line of best fit on a scatter graph. | drfrostmaths.com/explorer.php?ssid=897 | https://www.youtube.com/embed/wfRz4ygeqGk | K260 |

245c | Secondary | Plot and then use a line of best fit on a scatter graph. | drfrostmaths.com/explorer.php?ssid=5316 | ||

245d | Secondary | Understand interpolation and extrapolation on a scatter graph. | drfrostmaths.com/explorer.php?ssid=5317 | ||

245e | Secondary | Calculate the mean point from a scatter diagram. | drfrostmaths.com/explorer.php?ssid=8306 | ||

245f | Secondary | Plot a line of best fit using the mean point. | drfrostmaths.com/explorer.php?ssid=5318 | ||

246 | Secondary | Exam Practice: Pie charts with any proportion | drfrostmaths.com/explorer.php?ssid=337 | E246 | |

246a | Secondary | Draw a pie chart where the total is a factor or multiple of 360. | drfrostmaths.com/explorer.php?ssid=5319 | ||

246b | Secondary | Draw a pie chart where the total is not a factor or multiple of 360. | drfrostmaths.com/explorer.php?ssid=1036 | https://www.youtube.com/embed/L2a98g8Lx_k | K267 |

246c | Secondary | Interpret a pie chart with marked angles, but no totals given. | drfrostmaths.com/explorer.php?ssid=5320 | ||

246d | Secondary | Determine the frequency from a pie chart given marked angles and a total which is a factor or multiple of 360. | drfrostmaths.com/explorer.php?ssid=5321 | ||

246e | Secondary | Determine the frequency from a pie chart given marked angles and any total. | drfrostmaths.com/explorer.php?ssid=1051 | https://www.youtube.com/embed/7VWgRl4roIY | K266 |

246f | Secondary | Determine the frequency from a pie chart given the frequency and angle of a segment. | drfrostmaths.com/explorer.php?ssid=5322 | ||

246g | Secondary | Determine the frequency from a pie chart given the total or the frequency of a segment, where angles must be measured. | drfrostmaths.com/explorer.php?ssid=5323 | ||

246h | Secondary | Understand the limitations of pie charts. | drfrostmaths.com/explorer.php?ssid=5324 | ||

246i | Secondary | Compare pie charts with no totals. | drfrostmaths.com/explorer.php?ssid=5325 | ||

246j | Secondary | Compare pie charts given totals or the frequency of a segment. | drfrostmaths.com/explorer.php?ssid=5326 | ||

246k | Secondary | Compare data sets in pie charts and other representations. | drfrostmaths.com/explorer.php?ssid=5327 | ||

247 | Secondary | Exam Practice: Probabilities using worded terms or placed on a number line between 0 and 1 | drfrostmaths.com/explorer.php?ssid=411 | https://www.youtube.com/embed/noJMMJXSdb0 | E247 |

247a | Secondary | Determine the most likely or least likely event from a list. | drfrostmaths.com/explorer.php?ssid=5328 | ||

247b | Secondary | Describe probabilities using worded terms. | drfrostmaths.com/explorer.php?ssid=997 | https://www.youtube.com/embed/E_qUD_BnY7M | K72 |

247c | Secondary | Find possible outcomes given a worded probability. | drfrostmaths.com/explorer.php?ssid=5329 | ||

247d | Secondary | Compare likelihood between events. | drfrostmaths.com/explorer.php?ssid=5330 | ||

247e | Secondary | Determine outcomes based on relative likelihood of events. | drfrostmaths.com/explorer.php?ssid=5331 | ||

247f | Secondary | Understand the probability scale from 0 to 1. | drfrostmaths.com/explorer.php?ssid=5332 | ||

248 | Secondary | Exam Practice: Theoretical probabilities using counts | drfrostmaths.com/explorer.php?ssid=350 | https://www.youtube.com/embed/hhDVWfZpyps | E248 |

248a | Secondary | Determine a single probability using counts. | drfrostmaths.com/explorer.php?ssid=960 | https://www.youtube.com/embed/wQmT7RCd6Gk | K75 |

248b | Secondary | Determine the probability of an event not occurring using counts. | drfrostmaths.com/explorer.php?ssid=1414 | https://www.youtube.com/embed/zDs_iDULoNU | K79 |

248c | Secondary | Determine the probability of one event or another occurring using counts. | drfrostmaths.com/explorer.php?ssid=5333 | ||

248d | Secondary | Place an event on a probability scale from 0 to 1. | drfrostmaths.com/explorer.php?ssid=998 | K73 | |

248e | Secondary | Determine a probability using the total frequency in a two-way table. | drfrostmaths.com/explorer.php?ssid=1435 | K76 | |

248f | Secondary | Determine a probability within a subgroup of a two-way table. | drfrostmaths.com/explorer.php?ssid=5334 | ||

248g | Secondary | Determine a probability using the total frequency in a frequency tree. | drfrostmaths.com/explorer.php?ssid=5335 | ||

248h | Secondary | Determine a probability within a subgroup of a frequency tree. | drfrostmaths.com/explorer.php?ssid=5336 | ||

249 | Secondary | Exam Practice: Sample space diagrams | drfrostmaths.com/explorer.php?ssid=348 | https://www.youtube.com/embed/b9CGpXA6_8U | E249 |

249a | Secondary | List combined outcomes (not in a table) where one or both sets of outcomes are non-numeric. | drfrostmaths.com/explorer.php?ssid=5337 | ||

249b | Secondary | List combined outcomes in a table, where one or both sets of outcomes are non-numeric. | drfrostmaths.com/explorer.php?ssid=961 | https://www.youtube.com/embed/ycZFfocWZhs | K74 |

249c | Secondary | List combined outcomes using a sample space, using an arithmetic operator. | drfrostmaths.com/explorer.php?ssid=5338 | ||

249d | Secondary | Determine a probability from a given sample space. | drfrostmaths.com/explorer.php?ssid=1466 | https://www.youtube.com/embed/4YraYzuPf7A | K77 |

249e | Secondary | Determine the probability of a combined outcome where the sample space is not given. | drfrostmaths.com/explorer.php?ssid=5339 | ||

250 | Secondary | Exam Practice: Probabilities of mutually exclusive events | drfrostmaths.com/explorer.php?ssid=384 | https://www.youtube.com/embed/HMH6a2iYzkY | E250 |

250a | Secondary | Determine the probability of an event not happening. | drfrostmaths.com/explorer.php?ssid=5340 | ||

250b | Secondary | Determine the probability of one event or another mutually exclusive event occurring. | drfrostmaths.com/explorer.php?ssid=5341 | ||

250c | Secondary | Determine a probability of a mutually exclusive event from a table. | drfrostmaths.com/explorer.php?ssid=5342 | ||

250d | Secondary | Determine probabilities of mutually exclusive events in a table with a given relationship. | drfrostmaths.com/explorer.php?ssid=962 | https://www.youtube.com/embed/HkIYqf502QU | K78 |

250e | Secondary | Find possible outcomes given numeric probabilities of mutually exclusive events. | drfrostmaths.com/explorer.php?ssid=5343 | ||

251 | Secondary | Exam Practice: Experimental probabilities and bias | drfrostmaths.com/explorer.php?ssid=346 | https://www.youtube.com/embed/F0QK_OromkQ | E251 |

251a | Secondary | Determine the relative frequency of an outcome from given data. | drfrostmaths.com/explorer.php?ssid=1048 | https://www.youtube.com/embed/k1BoFfN4uWI | K269 |

251b | Secondary | Use a simulation to calculate the relative frequency of an event. | drfrostmaths.com/explorer.php?ssid=5344 | ||

251c | Secondary | Understand how the number of trials affects the reliability of an experiment | drfrostmaths.com/explorer.php?ssid=5345 | ||

251d | Secondary | Work out an expected value for a fair event, with a given number of repeated trials. | drfrostmaths.com/explorer.php?ssid=5346 | ||

251e | Secondary | Work out an expected value for a biased event, with a given number of repeated trials. | drfrostmaths.com/explorer.php?ssid=1047 | https://www.youtube.com/embed/HNWtOeT5-7g | K270 |

251f | Secondary | Determine if an experiment is biased. | drfrostmaths.com/explorer.php?ssid=5347 | ||

251g | Secondary | Work out an expected value from a table with missing probabilities in the table. | drfrostmaths.com/explorer.php?ssid=5348 | ||

251h | Secondary | Use expected values to calculate profit. | drfrostmaths.com/explorer.php?ssid=5349 | ||

252 | Secondary | Exam Practice: Expanding a single bracket | drfrostmaths.com/explorer.php?ssid=69 | https://www.youtube.com/embed/VzS_qsrEtfM | E252 |

252 | Exam Practice: Determine the exact distance from a velocity-time graph. | drfrostmaths.com/explorer.php?ssid=399 | https://www.youtube.com/embed/B0PoSe0iD-w | E252 | |

252a | Secondary | Expand a single bracket with an integer on the front. | drfrostmaths.com/explorer.php?ssid=592 | https://www.youtube.com/embed/_cS6RIny5AE | K153 |

252b | Secondary | Expand a single bracket with a negative integer on the front. | drfrostmaths.com/explorer.php?ssid=8305 | ||

252c | DELETED DECOMMISSIONED Find the displacement from a velocity-time graph. | drfrostmaths.com/explorer.php?ssid=1063 | K861 | ||

252c | Secondary | Expand a single bracket requiring simplification. | drfrostmaths.com/explorer.php?ssid=1358 | https://www.youtube.com/embed/u0G745uAJgU | K154 |

252d | Secondary | Expand a single bracket with an algebraic term at the front. | drfrostmaths.com/explorer.php?ssid=1359 | https://www.youtube.com/embed/ZQ6mqCF3QQk | K157 |

252e | Secondary | Expand a single bracket with each term involving one variable or constant, using index laws. | drfrostmaths.com/explorer.php?ssid=5350 | ||

252f | Secondary | Expand a single bracket with each term involving multiple variables or constants, using index laws. | drfrostmaths.com/explorer.php?ssid=1360 | https://www.youtube.com/embed/7enGPIbj6kc | K435 |

252g | Secondary | Expand two sets of single brackets and collect like terms, where mutlipliers are positive integers only. | drfrostmaths.com/explorer.php?ssid=707 | https://www.youtube.com/embed/1Cc0a6vZ0xM | K155 |

252h | Secondary | Expand and simplify expressions involving subtraction of a bracket with a term or bracket before. | drfrostmaths.com/explorer.php?ssid=1240 | https://www.youtube.com/embed/f9PZBFPM7qU | K156 |

252i | Secondary | Expand and simplify expressions involving subtraction of a bracket with no coefficient. | drfrostmaths.com/explorer.php?ssid=2111 | ||

252j | Secondary | Expand two sets of single brackets and collect like terms, where mutlipliers are variables or terms. | drfrostmaths.com/explorer.php?ssid=2128 | ||

253 | Secondary | Exam Practice: Factorising out a single term | drfrostmaths.com/explorer.php?ssid=71 | https://www.youtube.com/embed/biXEdyg2bYA | E253 |

253a | Secondary | Factorise by taking a common numeric factor out. | drfrostmaths.com/explorer.php?ssid=777 | https://www.youtube.com/embed/DB6TjBVxYHs | K348 |

253b | Secondary | Factorise by taking an algebraic factor out with single variable. | drfrostmaths.com/explorer.php?ssid=1238 | https://www.youtube.com/embed/vViglKOwRnk | K349 |

253c | Secondary | Factorise by taking a common algebraic factor out involving index laws. | drfrostmaths.com/explorer.php?ssid=1040 | https://www.youtube.com/embed/y4EOzJ4ZISU | K350 |

253d | Secondary | Factorise by taking a common algebraic factor out involving index laws with three or more terms. | drfrostmaths.com/explorer.php?ssid=5351 | ||

253e | Secondary | Expand an expression then factorise fully by taking out a single term. | drfrostmaths.com/explorer.php?ssid=5352 | ||

253f | Secondary | Factorise by taking a common bracketed factor out. | drfrostmaths.com/explorer.php?ssid=1704 | https://www.youtube.com/embed/3yE0TPQZeKY | |

253g | Secondary | Factorise an expression in multiple variables by first finding a common bracketed factor. | drfrostmaths.com/explorer.php?ssid=5353 | ||

253h | Secondary | Prove that two expressions are equivalent (potentially involving single bracket factorisation). | drfrostmaths.com/explorer.php?ssid=5354 | ||

254 | Secondary | Exam Practice: Solving linear equations where the variable appears on one side of the equation only, including brackets | drfrostmaths.com/explorer.php?ssid=4261 | E254 | |

254a | Secondary | Solve a linear equation with brackets and positive integer only solutions. | drfrostmaths.com/explorer.php?ssid=1375 | https://www.youtube.com/embed/lFbMuRHonNs | K152 |

254b | Secondary | Solve a linear equation with brackets and positive fractional solutions. | drfrostmaths.com/explorer.php?ssid=5355 | ||

254c | Secondary | Solve an equation with brackets where the solution may be written as a positive or negative terminating decimal or a fraction. | drfrostmaths.com/explorer.php?ssid=2177 | ||

254d | Secondary | Solve an equation with brackets and requiring simplification, with the variable on one side. | drfrostmaths.com/explorer.php?ssid=1455 | https://www.youtube.com/embed/5W7se3kShXY | K372 |

254e | Secondary | Solve an equation with brackets and a possible negative coefficient of the unknown. | drfrostmaths.com/explorer.php?ssid=5356 | ||

255 | Exam Practice: Determine the acceleration from a velocity-time graph. | drfrostmaths.com/explorer.php?ssid=398 | https://www.youtube.com/embed/EO5sKe8I0gU | E255 | |

255 | Secondary | Exam Practice: Custom operators | drfrostmaths.com/explorer.php?ssid=4262 | E255 | |

255a | Secondary | Calculate the output of a binary operator given its definition. | drfrostmaths.com/explorer.php?ssid=5357 | ||

255b | Secondary | Calculate the output of two instances of a custom binary operator composed together. | drfrostmaths.com/explorer.php?ssid=5358 | ||

255c | Secondary | Determine one of the inputs of a custom binary operator given the output. | drfrostmaths.com/explorer.php?ssid=5359 | ||

256 | Secondary | Exam Practice: Finding integer solutions to linear equations (linear Diophantine equations) | drfrostmaths.com/explorer.php?ssid=33 | E256 | |

256a | Secondary | Determine positive integer solutions to ax + by = k | drfrostmaths.com/explorer.php?ssid=5360 | ||

256b | Secondary | Determine positive integer solutions to a problem in context that can be modelled as an equation of the form ax + by = k | drfrostmaths.com/explorer.php?ssid=5361 | ||

257 | Secondary | Exam Practice: Solving linear equations where the variable appears on both sides of the equation | drfrostmaths.com/explorer.php?ssid=429 | https://www.youtube.com/embed/l-za234E9F4 | E257 |

257a | Secondary | Solve a linear equation with unknown on both sides. | drfrostmaths.com/explorer.php?ssid=841 | https://www.youtube.com/embed/JTy8JL70n6k | K367 |

257b | Secondary | Solve a linear equation with unknowns on both sides where the leading term is a constant. | drfrostmaths.com/explorer.php?ssid=2196 | ||

257c | Secondary | Solve a linear equation with unknowns on both sides and brackets on one side. | drfrostmaths.com/explorer.php?ssid=1239 | https://www.youtube.com/embed/10Tv78eF9Z8 | K368 |

257d | Secondary | Solve a linear equation with unknowns and brackets on both sides. | drfrostmaths.com/explorer.php?ssid=2270 | ||

257e | Secondary | Solve a linear equation with unknowns on both sides and brackets requiring simplification. | drfrostmaths.com/explorer.php?ssid=843 | https://www.youtube.com/embed/pMdqwf4N_bw | K369 |

257f | Secondary | Solve a linear equation with two sets of brackets on one side requiring simplification. | drfrostmaths.com/explorer.php?ssid=2232 | ||

258 | Secondary | Exam Practice: Solving linear equations involving fractions | drfrostmaths.com/explorer.php?ssid=360 | https://www.youtube.com/embed/IHgy9iAk-wU | E258 |

258a | Secondary | Solve a two step equation with a fraction on one side. | drfrostmaths.com/explorer.php?ssid=1496 | https://www.youtube.com/embed/Q4uBjCH7hJs | K707 |

258b | Secondary | Solve an equation with one fraction equal to a linear expression. | drfrostmaths.com/explorer.php?ssid=1075 | https://www.youtube.com/embed/RAfC856gEH4 | K371 |

258c | Secondary | Solve an equation with a fraction and a linear expression on one side. | drfrostmaths.com/explorer.php?ssid=5362 | ||

258d | Secondary | Solve an equation with one fraction equal to another fraction. | drfrostmaths.com/explorer.php?ssid=1074 | https://www.youtube.com/embed/nyIxaZmbIoE | K373 |

258e | Secondary | Solve an equation with the unknown within a single term in the denominator. | drfrostmaths.com/explorer.php?ssid=5363 | ||

258f | Secondary | Solve an equation with the unknown within an expression in denominator. | drfrostmaths.com/explorer.php?ssid=1606 | https://www.youtube.com/embed/rAug794m24U | |

258g | Secondary | Solve an equation with multiple fractions on one side, leading to a linear equation. | drfrostmaths.com/explorer.php?ssid=1506 | K710 | |

258h | Secondary | Solve an equation with fractions on both sides leading to a linear equation. | drfrostmaths.com/explorer.php?ssid=5364 | ||

259 | Secondary | Exam Practice: Forming and solving linear equations from a given context (excluding angles) | drfrostmaths.com/explorer.php?ssid=498 | E259 | |

259a | Secondary | Form and solve a linear equation for a given context involving a single occurrence of the variable. | drfrostmaths.com/explorer.php?ssid=1761 | https://www.youtube.com/embed/825zWGD2sr8 | |

259b | Secondary | Form and solve a linear equation for the perimeter of a 2D shape. | drfrostmaths.com/explorer.php?ssid=1311 | https://www.youtube.com/embed/BJdu8LrgIgU | K332 |

259c | Secondary | Form and solve a linear equation for the area of a simple 2D shape. | drfrostmaths.com/explorer.php?ssid=1696 | ||

259d | Secondary | Form and solve a linear equation for the area of a trapezium. | drfrostmaths.com/explorer.php?ssid=1778 | ||

259e | Secondary | Form and solve a linear equation for the area of two 2D shapes. | drfrostmaths.com/explorer.php?ssid=1717 | https://www.youtube.com/embed/hE8DTVfchuA | |

259f | Secondary | DELETED K183e: Form and solve a linear equation from angle properties | drfrostmaths.com/explorer.php?ssid=1655 | ||

259f | Secondary | Form and solve a linear equation for the volume of a cuboid or cube. | drfrostmaths.com/explorer.php?ssid=5365 | ||

259g | Secondary | Form and solve a linear equation for the volume of a prism. | drfrostmaths.com/explorer.php?ssid=5366 | ||

259h | Secondary | Form and solve a linear equation for the surface area of a cuboid or cube. | drfrostmaths.com/explorer.php?ssid=5367 | ||

259i | Secondary | Form and solve a linear equation for the surface area of a prism. | drfrostmaths.com/explorer.php?ssid=5368 | ||

259j | Secondary | Form and solve a linear equation for the total cost of a purchase. | drfrostmaths.com/explorer.php?ssid=5369 | ||

259k | Secondary | Form and solve a linear equation involving a relationship between two or more items. | drfrostmaths.com/explorer.php?ssid=5370 | ||

259l | Secondary | Form and solve a linear equation involving a relationship between two or more items, including fractions. | drfrostmaths.com/explorer.php?ssid=5371 | ||

259m | Secondary | Form and solve a linear equation involving percentage and/or fractions of amounts. | drfrostmaths.com/explorer.php?ssid=5372 | ||

259n | Secondary | Form and solve a linear equation relating to the relationship between two or more items requiring use of the mean average. | drfrostmaths.com/explorer.php?ssid=5373 | ||

259o | Secondary | Form and solve a linear equation with an unknown on one side for given a function machine. | drfrostmaths.com/explorer.php?ssid=5374 | ||

259p | Secondary | Form and solve a linear equation for a function machine where the input and output are equal. | drfrostmaths.com/explorer.php?ssid=5375 | ||

259q | Secondary | Form and solve a linear equation for a function machine where the input and output are related. | drfrostmaths.com/explorer.php?ssid=5376 | ||

259r | Secondary | Form and solve a linear equation for a given relationship between two sequences. | drfrostmaths.com/explorer.php?ssid=5377 | ||

260 | Secondary | Exam Practice: Changing the subject of a formula where the subject appears once only, including brackets | drfrostmaths.com/explorer.php?ssid=4263 | E260 | |

260a | Secondary | Change the subject of a linear formula involving multiplication using brackets. | drfrostmaths.com/explorer.php?ssid=975 | https://www.youtube.com/embed/iHPjLpYEBMI | K361 |

260b | Secondary | Change the subject of a linear formula requiring two steps resulting in a bracket. | drfrostmaths.com/explorer.php?ssid=978 | https://www.youtube.com/embed/9_ZVbMIsOSQ | K362 |

260c | Secondary | Change the subject of a formula with brackets and fractions. | drfrostmaths.com/explorer.php?ssid=2354 | ||

260d | Secondary | Change the subject of a formula where the subject is squared and with additional steps. | drfrostmaths.com/explorer.php?ssid=8311 | ||

260e | Secondary | Change the subject of a formula where the subject is cubed (or a higher power) and with additional steps. | drfrostmaths.com/explorer.php?ssid=8312 | ||

260f | Secondary | Change the subject of a formula with brackets and where the subject is raised to a power. | drfrostmaths.com/explorer.php?ssid=2356 | ||

260g | Secondary | Change the subject of a formula with brackets raised to a power. | drfrostmaths.com/explorer.php?ssid=2357 | ||

260h | Secondary | Change the subject of a formula with fractions and powers. | drfrostmaths.com/explorer.php?ssid=2358 | ||

260i | Secondary | Change the subject of a formula with roots and additional steps. | drfrostmaths.com/explorer.php?ssid=2360 | ||

260j | Secondary | Change the subject of a formula where the subject appears on the denominator of a fraction, resulting in a bracket. | drfrostmaths.com/explorer.php?ssid=1754 | ||

260k | Secondary | Change the subject of a formula where the coefficient of the subject is negative and appears on the denominator of a fraction, resulting in a bracket. | drfrostmaths.com/explorer.php?ssid=2361 | ||

261 | Secondary | Exam Practice: Changing the subject of a formula where the subject appears multiple times | drfrostmaths.com/explorer.php?ssid=15 | https://www.youtube.com/embed/AtoHt5-jpFk | E261 |

261a | Secondary | Change the subject of a formula where the subject appears on the same side twice. | drfrostmaths.com/explorer.php?ssid=980 | https://www.youtube.com/embed/UYeklmx3f4o | K572 |

261b | Secondary | Change the subject of a formula where the subject appears on the same side twice as a square term. | drfrostmaths.com/explorer.php?ssid=2304 | ||

261c | Secondary | Change the subject of a formula where the subject appears on both sides. | drfrostmaths.com/explorer.php?ssid=981 | https://www.youtube.com/embed/NTNj__TosfI | K573 |

261d | Secondary | Change the subject of a formula where the subject appears twice on a fraction. | drfrostmaths.com/explorer.php?ssid=982 | https://www.youtube.com/embed/5ehDvtjZi-o | K574 |

261e | Secondary | Change the subject of a formula where the subject appears twice with a square root. | drfrostmaths.com/explorer.php?ssid=983 | https://www.youtube.com/embed/Qx6iYTwLqLo | K575 |

261f | Secondary | Change the subject of a formula where the subject appears twice on a fraction as a term with power 2 or higher. | drfrostmaths.com/explorer.php?ssid=2305 | ||

261g | Secondary | Change the subject of a formula where the subject appears on both sides of the equation, with a fractional term on one side. | drfrostmaths.com/explorer.php?ssid=8321 | ||

261h | Secondary | Change the subject of a formula where the subject appears twice with a single fractional term on each side of the equation. | drfrostmaths.com/explorer.php?ssid=2306 | ||

261i | Secondary | Change the subject of the formula with multiple fractions, where the subject is in a denominator. | drfrostmaths.com/explorer.php?ssid=1623 | https://www.youtube.com/embed/a-gZnDHGqVc | |

262 | Secondary | Exam Practice: Interior and exterior angles of regular and irregular polygons | drfrostmaths.com/explorer.php?ssid=332 | https://www.youtube.com/embed/wZo6cLD_Q2I | E262 |

262a | Secondary | Calculate the interior angle sum of a polygon given its number of sides. | drfrostmaths.com/explorer.php?ssid=1609 | https://www.youtube.com/embed/o3dj4507i80 | |

262b | Secondary | Determine missing angles in a non-regular polygon. | drfrostmaths.com/explorer.php?ssid=659 | https://www.youtube.com/embed/OOuSFZK4ryU | K479 |

262c | Secondary | Determine interior angles of a polygon where there is a relationship given between some angles. | drfrostmaths.com/explorer.php?ssid=1945 | https://www.youtube.com/embed/PkAhSyTlkhs | |

262d | Secondary | Calculate the size of the exterior angles of a regular polygon. | drfrostmaths.com/explorer.php?ssid=660 | https://www.youtube.com/embed/0EXed3gpzKw | K477 |

262e | Secondary | Calculate the size of the interior angles of a regular polygon. | drfrostmaths.com/explorer.php?ssid=661 | https://www.youtube.com/embed/lJ1BYdhSgqI | K480 |

262f | Secondary | Determine the remaining angle around a point where two or more polygons meet. | drfrostmaths.com/explorer.php?ssid=1946 | https://www.youtube.com/embed/RUNZkiKyRzs | |

262g | Secondary | Determine an angle formed in a shape using sides or extended sides of polygons. | drfrostmaths.com/explorer.php?ssid=1947 | https://www.youtube.com/embed/-MzEWzHaAjc | |

262h | Secondary | Determine the number of sides of a regular polygon given the size of its exterior angles. | drfrostmaths.com/explorer.php?ssid=662 | https://www.youtube.com/embed/eEbW5oHIwTo | K478 |

262i | Secondary | Determine the number of sides of a regular polygon given the size of its interior angles. | drfrostmaths.com/explorer.php?ssid=663 | https://www.youtube.com/embed/fp0m-vR-N8I | K481 |

262j | Secondary | Determine the number of sides of a polygon given a ratio between its interior and exterior angles. | drfrostmaths.com/explorer.php?ssid=1948 | https://www.youtube.com/embed/A-RwMdunNCo | |

262k | Secondary | Determine angles in polygons within regular polygons. | drfrostmaths.com/explorer.php?ssid=1520 | https://www.youtube.com/embed/EPqYU_79-m8 | K719 |

262l | Secondary | Determine if a regular polygon will tesselate. | drfrostmaths.com/explorer.php?ssid=5378 | ||

262m | Secondary | Determine the number of sides of an unknown regular polygon required to complete a tesselation. | drfrostmaths.com/explorer.php?ssid=1949 | https://www.youtube.com/embed/BruBu9njsDQ | |

263 | Secondary | Exam Practice: Alternate, corresponding and cointerior angles | drfrostmaths.com/explorer.php?ssid=120 | https://www.youtube.com/embed/vO7qId0X5ds | E263 |

263a | Secondary | Recognise alternate, corresponding and cointerior (allied) angles. | drfrostmaths.com/explorer.php?ssid=1248 | K304 | |

263b | Secondary | Determine an angle using alternate angles on parallel lines. | drfrostmaths.com/explorer.php?ssid=630 | https://www.youtube.com/embed/BG4Dld85ZVw | K305 |

263c | Secondary | Determine an angle using corresponding angles on parallel lines. | drfrostmaths.com/explorer.php?ssid=636 | https://www.youtube.com/embed/IXN2c0-1MzM | K306 |

263d | Secondary | Determine an angle using cointerior (allied) angles on parallel lines. | drfrostmaths.com/explorer.php?ssid=638 | https://www.youtube.com/embed/91pLl0M7sw8 | K308 |

263e | Secondary | Determine if a given pair of lines is parallel using alternate, corresponding or cointerior angle rules. | drfrostmaths.com/explorer.php?ssid=5379 | ||

263f | Secondary | Determine angles in a parallelogram or rhombus. | drfrostmaths.com/explorer.php?ssid=5380 | ||

263g | Secondary | Determine angles in a trapezium. | drfrostmaths.com/explorer.php?ssid=5381 | ||

263h | Secondary | Determine an angle using alternate or corresponding angles combined with vertically opposite angles. | drfrostmaths.com/explorer.php?ssid=5382 | ||

263i | Secondary | Determine an angle in a triangle using angles on parallel lines. | drfrostmaths.com/explorer.php?ssid=1184 | https://www.youtube.com/embed/nxUC6S5NUJE | K302 |

263j | Secondary | Determine an angle in a complex diagram involving multiple angle laws and parallel lines. | drfrostmaths.com/explorer.php?ssid=5383 | ||

263k | Secondary | Determine an angle in a complex diagram involving a parallelogram or rhombus. | drfrostmaths.com/explorer.php?ssid=5384 | ||

264 | Secondary | Exam Practice: Algebraic expressions and equations using angle facts | drfrostmaths.com/explorer.php?ssid=122 | https://www.youtube.com/embed/zo3KOe8fwGQ | E264 |

264a | Secondary | Determine an algebraic expression for an angle involving angles on a line or angles about a point, where angles are given as algebraic terms only. | drfrostmaths.com/explorer.php?ssid=1912 | ||

264b | Secondary | Determine an algebraic expression for an angle involving angles on a line or angles about a point, where angles are given as general expressions. | drfrostmaths.com/explorer.php?ssid=5385 | ||

264c | Secondary | Determine an algebraic expression for an angle in a triangle, quadrilateral or extended line, where angles are given as general expressions. | drfrostmaths.com/explorer.php?ssid=5386 | ||

264d | Secondary | Determine algebraic expressions for angle involving parallel lines, where angles are given as general expressions. | drfrostmaths.com/explorer.php?ssid=5387 | ||

264e | Secondary | Form and solve an equation using algebraic angles to determine an unknown angle on a line or angles around a point. | drfrostmaths.com/explorer.php?ssid=1909 | ||

264f | Secondary | Form and solve an equation using algebraic angles to determine an unknown angle from angles in a triangle or quadrilateral. | drfrostmaths.com/explorer.php?ssid=1913 | ||

264g | Secondary | Form and solve an equation using algebraic angles to determine an unknown angle in a parallelogram, rhombus or trapezium. | drfrostmaths.com/explorer.php?ssid=5388 | ||

264h | Secondary | Form and solve an equation using algebraic angles to determine an unknown angle involving parallel lines. | drfrostmaths.com/explorer.php?ssid=5389 | ||

264i | Secondary | Form and solve an equation using algebraic angles to determine an unknown angles in a polygon. | drfrostmaths.com/explorer.php?ssid=8333 | ||

265 | Secondary | Exam Practice: Bearings (excluding trigonometry) | drfrostmaths.com/explorer.php?ssid=369 | E265 | |

265a | Secondary | Know the correspondence between bearings and compass directions. | drfrostmaths.com/explorer.php?ssid=1981 | ||

265b | Secondary | Calculate a bearing using a simple diagram. | drfrostmaths.com/explorer.php?ssid=987 | https://www.youtube.com/embed/_iqtUwF6fOQ | K324 |

265c | Secondary | Measure a bearing using a protractor. | drfrostmaths.com/explorer.php?ssid=1982 | ||

265d | Secondary | Calculate a bearing using corresponding angles on parallel lines. | drfrostmaths.com/explorer.php?ssid=988 | https://www.youtube.com/embed/zzLLv8F6Y5c | K325 |

265e | Secondary | Use the bearing of one object from another to calculate the bearing of the opposite. | drfrostmaths.com/explorer.php?ssid=2115 | ||

265f | Secondary | Calculate bearings using a mixture of parallel lines and isosceles triangles. | drfrostmaths.com/explorer.php?ssid=2108 | ||

266 | Secondary | Exam Practice: Midpoint of two points | drfrostmaths.com/explorer.php?ssid=136 | https://www.youtube.com/embed/1zASK082ZHQ | E266 |

266a | Secondary | Find the midpoint of two points which have been plotted. | drfrostmaths.com/explorer.php?ssid=1983 | ||

266b | Secondary | Find the midpoint of two points given as coordinates. | drfrostmaths.com/explorer.php?ssid=880 | https://www.youtube.com/embed/xseTCpiVjGc | K320 |

266c | Secondary | Find a coordinate given another and their midpoint. | drfrostmaths.com/explorer.php?ssid=881 | https://www.youtube.com/embed/bbws5_NWLQM | K322 |

266d | Secondary | Solve problems involving the midpoint of two points where some values are unknown. | drfrostmaths.com/explorer.php?ssid=1988 | ||

267 | Secondary | Exam Practice: Splitting a line segment in a ratio | drfrostmaths.com/explorer.php?ssid=4264 | E267 | |

267a | Secondary | Find the coordinates of a point that shares a line in a ratio. | drfrostmaths.com/explorer.php?ssid=882 | https://www.youtube.com/embed/esB_uK-WJHU | K321 |

267b | Secondary | Find the coordinates of a point given another and a further point which divides them in a ratio. | drfrostmaths.com/explorer.php?ssid=5390 | ||

267c | Secondary | Find the coordinates of a point given another point and a multiplicative relationship between them. | drfrostmaths.com/explorer.php?ssid=5391 | ||

267d | Secondary | Find the coordinates of a point given another point and a ratio between a part and a whole line segment. | drfrostmaths.com/explorer.php?ssid=5392 | ||

267e | Secondary | Solve problems involving two points divided into a ratio where some values are unknown. | drfrostmaths.com/explorer.php?ssid=5393 | ||

268 | Secondary | Exam Practice: Plotting a straight line from a table of values | drfrostmaths.com/explorer.php?ssid=4265 | E268 | |

268a | Secondary | Complete a table of values for a linear graph with a positive integer coefficient of x | drfrostmaths.com/explorer.php?ssid=1235 | https://www.youtube.com/embed/Y8PbsC05PqA | K388 |

268b | Secondary | Complete a table of values for a linear graph with a negative integer coefficient of x | drfrostmaths.com/explorer.php?ssid=5394 | ||

268c | Secondary | Complete a table of values for a linear graph with a fractional coefficient of x | drfrostmaths.com/explorer.php?ssid=5395 | ||

268d | Secondary | Plot a linear graph using a completed table of values. | drfrostmaths.com/explorer.php?ssid=5396 | ||

268e | Secondary | Complete a table of values and plot the corresponding linear graph. | drfrostmaths.com/explorer.php?ssid=5397 | ||

268f | Secondary | Plot a linear graph using only two points. | drfrostmaths.com/explorer.php?ssid=5398 | ||

269 | Secondary | Exam Practice: Relationship between a line and its equation | drfrostmaths.com/explorer.php?ssid=89 | https://www.youtube.com/embed/D-lhiZFNrow | E269 |

269a | Secondary | Determine whether a point lies on a line given its equation in the form y = mx + c | drfrostmaths.com/explorer.php?ssid=1406 | https://www.youtube.com/embed/PUZK13UlTHk | K394 |

269b | Secondary | Determine whether a point lies on a line given its equation in the form ax + by = c | drfrostmaths.com/explorer.php?ssid=2191 | ||

269c | Secondary | Determine the missing x or y coordinate given the equation of a straight line. | drfrostmaths.com/explorer.php?ssid=2192 | ||

269d | Secondary | Draw a line with equation x=a, y=b, y=x or y=-x | drfrostmaths.com/explorer.php?ssid=1241 | https://www.youtube.com/embed/zow4xzc8oGE | K389 |

270 | Secondary | Exam Practice: x and y intercepts of a line | drfrostmaths.com/explorer.php?ssid=4266 | E270 | |

270a | Secondary | Determine the x or y intercept of a straight line which is drawn. | drfrostmaths.com/explorer.php?ssid=837 | https://www.youtube.com/embed/RZCiW_iX9nw | K399 |

270b | Secondary | Determine the x or y intercept of a straight line given an equation by substitution of 0. | drfrostmaths.com/explorer.php?ssid=1397 | https://www.youtube.com/embed/zMApPWEBjuE | K395 |

270c | Secondary | Determine the midpoint of the line segment between the x and y intercepts of a straight line. | drfrostmaths.com/explorer.php?ssid=5399 | ||

270d | Secondary | Find the area enclosed by a straight line and its intercepts with the axes. | drfrostmaths.com/explorer.php?ssid=5400 | ||

270e | Secondary | Find the coordinate of a point between the x and y intercepts in a particular ratio. | drfrostmaths.com/explorer.php?ssid=1690 | https://www.youtube.com/embed/-LNSHoWhFl8 | |

271 | Secondary | Exam Practice: Gradient of a line | drfrostmaths.com/explorer.php?ssid=90 | https://www.youtube.com/embed/fnKIlkGBfeE | E271 |

271a | Secondary | Determine the gradient of a line by counting unit squares. | drfrostmaths.com/explorer.php?ssid=5401 | ||

271b | Secondary | Determine the gradient of a slope triangle. | drfrostmaths.com/explorer.php?ssid=5402 | ||

271c | Secondary | Determine the gradient of a straight line which is drawn with a supporting triangle. | drfrostmaths.com/explorer.php?ssid=5403 | ||

271d | Secondary | Determine the gradient of a straight line which is drawn on axes with scale in ones. | drfrostmaths.com/explorer.php?ssid=5404 | ||

271e | Secondary | Determine the gradient of a straight line which is drawn on axes with unusual scale. | drfrostmaths.com/explorer.php?ssid=836 | https://www.youtube.com/embed/OxYk4R1cey4 | K396 |

271f | Secondary | Determine the gradient of a line given a sketch of two points on the axes (not to scale). | drfrostmaths.com/explorer.php?ssid=5405 | ||

271g | Secondary | Determine the gradient of a line given two coordinates. | drfrostmaths.com/explorer.php?ssid=692 | https://www.youtube.com/embed/mHzvAzd6HGQ | K397 |

271h | Secondary | Determine the unknown x or y coordinate given two points and the value of the gradient. | drfrostmaths.com/explorer.php?ssid=5406 | ||

271i | Secondary | Determine the unknown x or y coordinate given three points which lie on a straight line. | drfrostmaths.com/explorer.php?ssid=5407 | ||

271j | Secondary | Determine an algebraic expression for the gradient of a line given two coordinates. | drfrostmaths.com/explorer.php?ssid=5408 | ||

271k | Secondary | Determine whether three points are collinear. | drfrostmaths.com/explorer.php?ssid=5409 | ||

272 | Secondary | Exam Practice: Understanding the equation of a straight line, y=mx+c | drfrostmaths.com/explorer.php?ssid=91 | https://www.youtube.com/embed/-oB1lIM0nHs | E272 |

272a | Secondary | Write the equation of a line in the form y=mx+c given a gradient and y-intercept. | drfrostmaths.com/explorer.php?ssid=5410 | ||

272b | Secondary | Determine the gradient or y-intercept of a line given its equation in the form y = mx + c | drfrostmaths.com/explorer.php?ssid=1253 | https://www.youtube.com/embed/CjU-C5177Us | K398 |

272c | Secondary | Write the equation of a line in the form ax+by=c given a gradient and y-intercept. | drfrostmaths.com/explorer.php?ssid=5411 | ||

272d | Secondary | Determine the gradient or y-intercept of a line given its equation in the form ax + by = c or ax + by + c = 0 | drfrostmaths.com/explorer.php?ssid=1254 | https://www.youtube.com/embed/dvx9QJZyq9g | K404 |

272e | Secondary | Determine the steepest line from a set of equations. | drfrostmaths.com/explorer.php?ssid=5412 | ||

273 | Secondary | Exam Practice: Determining the equation of a straight line | drfrostmaths.com/explorer.php?ssid=92 | https://www.youtube.com/embed/v-9C9Og0SrU | E273 |

273a | Secondary | Determine the equation of a straight line given in the form x=a, y=b, y=x or y=-x | drfrostmaths.com/explorer.php?ssid=1102 | https://www.youtube.com/embed/2e1C1uH6zkg | K400 |

273b | Secondary | Determine the equation of a straight line in y=mx+c form which is drawn. | drfrostmaths.com/explorer.php?ssid=838 | https://www.youtube.com/embed/gWATRVIyL-Y | K401 |

273c | Secondary | Determine the equation of a straight line in ax+by=c form which is drawn. | drfrostmaths.com/explorer.php?ssid=5413 | ||

273d | Secondary | Determine the equation of a straight line in y=mx+c form given its gradient and a point, where the gradient is a whole number. | drfrostmaths.com/explorer.php?ssid=1695 | https://www.youtube.com/embed/vAXa-tvU0CU | |

273e | Secondary | Determine the equation of a straight line in y=mx+c form given a non-integer gradient and a point. | drfrostmaths.com/explorer.php?ssid=689 | https://www.youtube.com/embed/vAXa-tvU0CU | K402 |

273f | Secondary | Determine the equation of a straight line in ax+by=c form given a gradient and a point. | drfrostmaths.com/explorer.php?ssid=5414 | ||

273g | Secondary | Determine the equation of a straight line in the form y=mx+c given two points. | drfrostmaths.com/explorer.php?ssid=735 | https://www.youtube.com/embed/MTrQvt8Dag0 | K403 |

273h | Secondary | Determine the equation of a straight line in the form ax + by = c given two points. | drfrostmaths.com/explorer.php?ssid=5415 | ||

273i | Secondary | Determine the equation of the median of a triangle given its coordinates. | drfrostmaths.com/explorer.php?ssid=5416 | ||

274 | Secondary | Exam Practice: Drawing a line from its equation | drfrostmaths.com/explorer.php?ssid=88 | https://www.youtube.com/embed/-15NrddYXos | E274 |

274a | Secondary | Draw a line from its equation given in the form y=mx+c when the gradient is positive. | drfrostmaths.com/explorer.php?ssid=798 | https://www.youtube.com/embed/xAIJ3Zki24o | K390 |

274b | Secondary | Draw a line from its equation given in the form y=mx+c when the gradient is negative. | drfrostmaths.com/explorer.php?ssid=799 | https://www.youtube.com/embed/IP1xJr9bjnU | K391 |

274c | Secondary | Draw a line from its equation given in the form y=mx+c when the gradient is a fraction. | drfrostmaths.com/explorer.php?ssid=800 | https://www.youtube.com/embed/5P7vPnNMFto | K392 |

274d | Secondary | Draw a line with an equation given in the form x+y=a | drfrostmaths.com/explorer.php?ssid=5417 | ||

274e | Secondary | Draw a line with an equation given in the form ax+by=c | drfrostmaths.com/explorer.php?ssid=1303 | https://www.youtube.com/embed/wCjr7KVxU1A | K393 |

275 | Secondary | Exam Practice: Equations of parallel lines | drfrostmaths.com/explorer.php?ssid=93 | https://www.youtube.com/embed/JO_xha-5EwU | E275 |

275a | Secondary | Determine if two straight lines are parallel given their equations. | drfrostmaths.com/explorer.php?ssid=5418 | ||

275b | Secondary | Find an equation of a line parallel to another in the form y=mx+c | drfrostmaths.com/explorer.php?ssid=736 | https://www.youtube.com/embed/ugNY9ag08Gg | K405 |

275c | Secondary | Find an equation of a line parallel to another given in the form ax+by=c | drfrostmaths.com/explorer.php?ssid=5419 | ||

275d | Secondary | Find an equation of a line in the form y=mx+c which is parallel to the line segment connecting two points. | drfrostmaths.com/explorer.php?ssid=5420 | ||

275e | Secondary | Find an equation of a line in the form ax+by=c which is parallel to the line segment connecting two points. | drfrostmaths.com/explorer.php?ssid=5421 | ||

276 | Secondary | Exam Practice: Solving linear simultaneous equations/systems of equations using graphical methods | drfrostmaths.com/explorer.php?ssid=84 | E276 | |

276a | Secondary | Solve linear simultaneous equations/systems of equations using an existing sketch of each line. | drfrostmaths.com/explorer.php?ssid=1760 | ||

276b | Secondary | Solve linear simultaneous equations/systems of equations by first sketching each line. | drfrostmaths.com/explorer.php?ssid=5422 | ||

277 | Secondary | Exam Practice: Solving linear simultaneous equations/systems of equations using elimination or substitution | drfrostmaths.com/explorer.php?ssid=82 | https://www.youtube.com/embed/XWNropJ5pn0 | E277 |

277a | Secondary | Solve linear simultaneous equations/systems of equations where one unknown has equal positive coefficients. | drfrostmaths.com/explorer.php?ssid=1018 | https://www.youtube.com/embed/BueMJH0h3e8 | K376 |

277b | Secondary | Solve linear simultaneous equations/systems of equations where one unknown has equal coefficients with different signs. | drfrostmaths.com/explorer.php?ssid=1022 | https://www.youtube.com/embed/3OUQpUl1pg0 | K377 |

277c | Secondary | Solve linear simultaneous equations/systems of equations where one unknown has unequal positive coefficients. | drfrostmaths.com/explorer.php?ssid=1751 | ||

277d | Secondary | Solve linear simultaneous equations/systems of equations with unequal coefficients where the unknowns have the same signs. | drfrostmaths.com/explorer.php?ssid=1023 | https://www.youtube.com/embed/8ZEdxhitNqQ | K378 |

277e | Secondary | Solve linear simultaneous equations/systems of equations with unequal coefficients where the second unknowns have different signs. | drfrostmaths.com/explorer.php?ssid=1024 | https://www.youtube.com/embed/5vu5Eb1gVlc | K379 |

277f | Secondary | Solve linear simultaneous equations/systems of equations requiring rearrangement by elimination. | drfrostmaths.com/explorer.php?ssid=1174 | K774 | |

277g | Secondary | Solve linear simultaneous equations/systems of equations by substitution. | drfrostmaths.com/explorer.php?ssid=1555 | K742 | |

277h | Secondary | Solve non-linear simultaneous equations/systems of equations where y is the subject of both equations, to give a linear equation to be solved. | drfrostmaths.com/explorer.php?ssid=5423 | ||

277i | Secondary | Form and solve simultaneous equations/systems of equations for a given context. | drfrostmaths.com/explorer.php?ssid=1026 | https://www.youtube.com/embed/CeA_Uqp9hwg | K380 |

277j | Secondary | Solve linear simultaneous equations/systems of equations to determine the point of intersection of two lines. | drfrostmaths.com/explorer.php?ssid=1025 | K375 | |

278 | Secondary | Exam Practice: Converting from a recurring decimal to a fraction | drfrostmaths.com/explorer.php?ssid=36 | https://www.youtube.com/embed/Je9sKSmPThE | E278 |

278a | Secondary | Convert from a recurring decimal to a fraction with a single digit recurring. | drfrostmaths.com/explorer.php?ssid=821 | https://www.youtube.com/embed/LjQ5VmPx97U | K469 |

278b | Secondary | Convert from a recurring decimal to a fraction with two or more digits recurring. | drfrostmaths.com/explorer.php?ssid=830 | https://www.youtube.com/embed/wJfCuhrmIGA | K470 |

278c | Secondary | Convert from a recurring decimal to a fraction where some digits do not recur. | drfrostmaths.com/explorer.php?ssid=831 | https://www.youtube.com/embed/_UufLnymjx8 | K471 |

278d | Secondary | Multiply two recurring decimals. | drfrostmaths.com/explorer.php?ssid=5424 | ||

278e | Secondary | Convert a recurring decimal with a variable as a digit to a fraction. | drfrostmaths.com/explorer.php?ssid=5425 | ||

279 | Secondary | Exam Practice: Reflecting a shape in a line with given equation | drfrostmaths.com/explorer.php?ssid=6 | https://www.youtube.com/embed/NSPvXW6M3Ps | E279 |

279a | Secondary | Reflect a shape against a vertical or horizontal line with a given equation. | drfrostmaths.com/explorer.php?ssid=850 | https://www.youtube.com/embed/yijLg88zRAg | K489 |

279b | Secondary | Reflect a shape against a diagonal line with a given equation. | drfrostmaths.com/explorer.php?ssid=1475 | K490 | |

280 | Secondary | Exam Practice: Describing a reflection | drfrostmaths.com/explorer.php?ssid=7 | https://www.youtube.com/embed/wZmdzlsnkJ4 | E280 |

280a | Secondary | Describe a reflection in a vertical or horizontal line on a set of axes. | drfrostmaths.com/explorer.php?ssid=852 | https://www.youtube.com/embed/0ffVS3ijEd0 | K491 |

280b | Secondary | Describe a reflection in a diagonal line on a set of axes. | drfrostmaths.com/explorer.php?ssid=853 | https://www.youtube.com/embed/_s25lIaNJ6Q | K492 |

281 | Secondary | Exam Practice: Rotational symmetry | drfrostmaths.com/explorer.php?ssid=144 | https://www.youtube.com/embed/uoLkjhC-InU | E281 |

281a | Secondary | Identify the order of rotational symmetry. | drfrostmaths.com/explorer.php?ssid=996 | https://www.youtube.com/embed/uoLkjhC-InU | K98 |

281b | Secondary | Identify shapes with a given order of rotational symmetry from their name. | drfrostmaths.com/explorer.php?ssid=5426 | ||

281c | Secondary | Modify a diagram to achieve a rotational symmetry of a given order. | drfrostmaths.com/explorer.php?ssid=8325 | ||

282 | Secondary | Exam Practice: Rotating a shape by a given angle around a given point | drfrostmaths.com/explorer.php?ssid=10 | https://www.youtube.com/embed/WgKHtet5dNU | E282 |

282a | Secondary | Rotate a shape by 90^{\circ}, 180^{\circ} or 270^{\circ} about a point on a grid. | drfrostmaths.com/explorer.php?ssid=5427 | ||

282b | Secondary | Rotate a shape by 90^{\circ}, 180^{\circ} or 270^{\circ} on axes, about the origin, using tracing paper. | drfrostmaths.com/explorer.php?ssid=2318 | ||

282c | Secondary | Rotate a shape by by 90^{\circ}, 180^{\circ} or 270^{\circ} on axes, about any point, using tracing paper. | drfrostmaths.com/explorer.php?ssid=802 | K276 | |

282c | Secondary | DELETED Rotate a shape 270^{\circ} about a point. | drfrostmaths.com/explorer.php?ssid=848 | K277 | |

282d | Secondary | Rotate a shape by 90^{\circ} or 270^{\circ}on axes, about any point, without tracing paper. | drfrostmaths.com/explorer.php?ssid=5428 | ||

282e | Secondary | Rotate a shape by 180^{\circ} on axes, about any point, without tracing paper. | drfrostmaths.com/explorer.php?ssid=5429 | ||

283 | Secondary | Exam Practice: Describing a rotation | drfrostmaths.com/explorer.php?ssid=11 | https://www.youtube.com/embed/TahCIk3iDCE | E283 |

283a | Secondary | Describe a rotation centred at the origin. | drfrostmaths.com/explorer.php?ssid=854 | https://www.youtube.com/embed/N-PlllnzOWs | K282 |

283b | Secondary | Describe a rotation centred at any point. | drfrostmaths.com/explorer.php?ssid=855 | https://www.youtube.com/embed/rH8ap8kJTWg | K283 |

283c | Secondary | DELETED Describe a 90^{\circ} rotation centred at a point. | drfrostmaths.com/explorer.php?ssid=1390 | https://www.youtube.com/embed/awybFoRpDeU | K284 |

283d | Secondary | Use positive and negative numbers to describe the direction of a rotation. | drfrostmaths.com/explorer.php?ssid=5430 | ||

284 | Secondary | Exam Practice: Scale drawings including map scales | drfrostmaths.com/explorer.php?ssid=132 | https://www.youtube.com/embed/6H_h_YrLf-M | E284 |

284a | Secondary | Determine the measurement of a real-life object given a measurement on a model and a ratio in the form 1:n | drfrostmaths.com/explorer.php?ssid=5431 | ||

284b | Secondary | Determine the measurement of a model given the real-life measurement and a ratio in the form 1:n | drfrostmaths.com/explorer.php?ssid=5432 | ||

284c | Secondary | Estimate the measurement of a real-life object given a scale drawing and another real-life measurement. | drfrostmaths.com/explorer.php?ssid=5433 | ||

284d | Secondary | Estimate the measurement of a real-life object given a scale drawing and an estimation of another real-life object. | drfrostmaths.com/explorer.php?ssid=5434 | ||

284e | Secondary | Use a map scale to find an actual distance. | drfrostmaths.com/explorer.php?ssid=1376 | https://www.youtube.com/embed/61MN_RknWA4 | K543 |

284f | Secondary | Use a map scale given in the form 1:n to find an actual distance. | drfrostmaths.com/explorer.php?ssid=1377 | https://www.youtube.com/embed/jgwxNzCUW14 | K544 |

284g | Secondary | Complete scale drawings with bearings. | drfrostmaths.com/explorer.php?ssid=5435 | ||

285 | Secondary | Exam Practice: Constructions with lines and angles | drfrostmaths.com/explorer.php?ssid=131 | https://www.youtube.com/embed/b35saVAV21o | E285 |

285a | Secondary | DELETED TODO Construct a triangle using compasses. | drfrostmaths.com/explorer.php?ssid=1126 | K703 | |

285a | Secondary | Understand Euclid's Postulates that form the basis of constructing diagrams with a straight edge and compass. | drfrostmaths.com/explorer.php?ssid=5436 | ||

285b | Secondary | Construct a circle with a given radius. | drfrostmaths.com/explorer.php?ssid=5437 | ||

285c | Secondary | Construct the perpendicular bisector of a line. | drfrostmaths.com/explorer.php?ssid=1127 | K533 | |

285d | Secondary | Construct the bisector of an angle. | drfrostmaths.com/explorer.php?ssid=1128 | K534 | |

285e | Secondary | Construct a line perpendicular to another line, passing through a given point. | drfrostmaths.com/explorer.php?ssid=1415 | K536 | |

285f | Secondary | Construct a line perpendicular to another line, passing through a given point on the line. | drfrostmaths.com/explorer.php?ssid=1416 | K537 | |

285g | Secondary | Construct a line segment of a given length on a given ray | drfrostmaths.com/explorer.php?ssid=5438 | ||

285h | Secondary | Construct a division of a line segment into two equal segments. | drfrostmaths.com/explorer.php?ssid=5439 | ||

285i | Secondary | Construct a division of a line segment into three equal segments. | drfrostmaths.com/explorer.php?ssid=5440 | ||

285j | Secondary | Construct a division of a line segment into more than three equal segments. | drfrostmaths.com/explorer.php?ssid=5441 | ||

285k | Secondary | Construct a 60 degree angle. | drfrostmaths.com/explorer.php?ssid=5442 | ||

285l | Secondary | Construct a 30 degree angle. | drfrostmaths.com/explorer.php?ssid=5443 | ||

285m | Secondary | Construct a 90 degree angle. | drfrostmaths.com/explorer.php?ssid=5444 | ||

285n | Secondary | Construct a 45 degree angle. | drfrostmaths.com/explorer.php?ssid=5445 | ||

285o | Secondary | Construct a parallelogram given the length of the sides and the measure of the angles. | drfrostmaths.com/explorer.php?ssid=5446 | ||

285p | Secondary | Construct a hexagon inside a circle. | drfrostmaths.com/explorer.php?ssid=5447 | ||

285q | Secondary | Construct a square given one of the sides. | drfrostmaths.com/explorer.php?ssid=5448 | ||

285r | Secondary | Determine the centre of rotation between a shape and its image by constructing perpendicular bisectors. | drfrostmaths.com/explorer.php?ssid=5449 | ||

286 | Secondary | Exam Practice: Loci | drfrostmaths.com/explorer.php?ssid=133 | E286 | |

286a | Secondary | Construct the locus of the points away from two given points. | drfrostmaths.com/explorer.php?ssid=1411 | K538 | |

286b | Secondary | Construct the locus of the points away from at least two line segments. | drfrostmaths.com/explorer.php?ssid=1412 | K539 | |

286c | Secondary | Construct the locus of the points away from a point and a line segment. | drfrostmaths.com/explorer.php?ssid=1413 | K540 | |

286d | Secondary | Construct the locus of the points away from a shape. | drfrostmaths.com/explorer.php?ssid=1469 | K541 | |

286e | Secondary | Construct the locus of the points equidistant from two points. | drfrostmaths.com/explorer.php?ssid=1470 | K542 | |

287 | Secondary | Exam Practice: Drawing and constructing triangles | drfrostmaths.com/explorer.php?ssid=4267 | E287 | |

287a | Secondary | Construct an equilateral triangle given one of its edges. | drfrostmaths.com/explorer.php?ssid=5450 | ||

287b | Secondary | Construct a triangle given two angles and a side (ASA). | drfrostmaths.com/explorer.php?ssid=1353 | K535 | |

287c | Secondary | Construct a triangle given a right-angle, another angle and a side (ASA). | drfrostmaths.com/explorer.php?ssid=5451 | ||

287d | Secondary | Construct a triangle given three sides (SSS). | drfrostmaths.com/explorer.php?ssid=5452 | ||

287e | Secondary | Construct a triangle given two sides and their included angle (SAS). | drfrostmaths.com/explorer.php?ssid=5453 | ||

287f | Secondary | Construct a right-angled triangle given the lengths of the hypotenuse and another side. | drfrostmaths.com/explorer.php?ssid=5454 | ||

288 | Secondary | Exam Practice: Fractals | drfrostmaths.com/explorer.php?ssid=4268 | E288 | |

288a | Secondary | Understand properties of fractals. | drfrostmaths.com/explorer.php?ssid=5455 | ||

288b | Secondary | Know the names of common fractal types. | drfrostmaths.com/explorer.php?ssid=5456 | ||

288c | Secondary | Use a fractal rule to construct a shape to a particular depth. | drfrostmaths.com/explorer.php?ssid=5457 | ||

288d | Secondary | Appreciate the occurrence of fractal features in natural phenomena. | drfrostmaths.com/explorer.php?ssid=5458 | ||

289 | Secondary | Exam Practice: Pythagoras' theorem in 2D (excluding surds) | drfrostmaths.com/explorer.php?ssid=137 | https://www.youtube.com/embed/SaU9vS6HJEs | E289 |

289a | Secondary | Use Pythagoras' theorem to calculate the hypotenuse of a right-angled triangle. | drfrostmaths.com/explorer.php?ssid=718 | https://www.youtube.com/embed/T3skFbe4xpc | K504 |

289b | Secondary | Use Pythagoras' theorem to calculate a shorter side of a right-angled triangle. | drfrostmaths.com/explorer.php?ssid=719 | https://www.youtube.com/embed/zyC57rYvOxk | K505 |

289c | Secondary | Determine if a triangle is right-angled or if it is possible to construct (converse of Pythagoras' theorem). | drfrostmaths.com/explorer.php?ssid=959 | K506 | |

289d | Secondary | Use Pythagoras' theorem to find a length in an isosceles triangle. | drfrostmaths.com/explorer.php?ssid=1193 | https://www.youtube.com/embed/t3xeH4dYVg8 | K508 |

289e | Secondary | Use Pythagoras's theorem to find the area of a triangle. | drfrostmaths.com/explorer.php?ssid=2014 | https://www.youtube.com/embed/ofZ6zMmvVOI | |

289f | Secondary | Use the area of a triangle to find a length. | drfrostmaths.com/explorer.php?ssid=2052 | https://www.youtube.com/embed/CljQ80k0OE0 | |

289g | Secondary | Use Pythagoras' theorem to solve problems involving movement in cardinal directions. | drfrostmaths.com/explorer.php?ssid=2057 | https://www.youtube.com/embed/5ndrqXt1BqQ | |

289h | Secondary | Use Pythagoras' theorem to find a cost or other physical quantity involving the perimeter of a shape. | drfrostmaths.com/explorer.php?ssid=2071 | ||

289i | Secondary | Use Pythagoras' theorem to find a cost or other physical quantity involving the area of a shape. | drfrostmaths.com/explorer.php?ssid=2072 | ||

289j | Secondary | Use Pythagoras' theorem twice for two triangles with a shared shorter side. | drfrostmaths.com/explorer.php?ssid=1226 | https://www.youtube.com/embed/I9CXO2wMOgY | K509 |

289k | Secondary | Use Pythagoras' theorem twice where a hypotenuse and a shorter length are shared. | drfrostmaths.com/explorer.php?ssid=1617 | https://www.youtube.com/embed/E7ujaPaZVhM | |

289l | Secondary | Use Pythagoras' theorem twice where a right-angled triangle is inscribed into another. | drfrostmaths.com/explorer.php?ssid=1681 | https://www.youtube.com/embed/LEdx8rW50fk | |

289m | Secondary | Use Pythagoras' theorem to find the perimeter of a shape that involves a circle. | drfrostmaths.com/explorer.php?ssid=2067 | ||

289n | Secondary | Use Pythagoras' theorem to determine the area of a compound shape that involves a circle. | drfrostmaths.com/explorer.php?ssid=2069 | ||

289o | Secondary | Use Pythagoras' theorem to determine a length in a trapezium. | drfrostmaths.com/explorer.php?ssid=2107 | ||

289p | Secondary | Determine the perimeter of a polygon formed from triangles. | drfrostmaths.com/explorer.php?ssid=2135 | ||

289q | Secondary | Use the length of the diagonal of a square to find its side length. | drfrostmaths.com/explorer.php?ssid=2194 | ||

289r | Secondary | Determine a length involving touching circles. | drfrostmaths.com/explorer.php?ssid=2203 | ||

289s | Secondary | Prove Pythagoras' theorem and its converse. | drfrostmaths.com/explorer.php?ssid=5459 | ||

290 | Secondary | Exam Practice: Distance between two points given their coordinates | drfrostmaths.com/explorer.php?ssid=367 | https://www.youtube.com/embed/ubyFqGudR_s | E290 |

290a | Secondary | Use Pythagoras' theorem to find the distance between two points. | drfrostmaths.com/explorer.php?ssid=788 | https://www.youtube.com/embed/wh_hKbKYUaY | K507 |

290b | Secondary | Use Pythagoras' theorem to determine the perimeter of a rectangle given the coordinates of its vertices. | drfrostmaths.com/explorer.php?ssid=5460 | ||

291 | Secondary | Exam Practice: Properties of congruent shapes | drfrostmaths.com/explorer.php?ssid=4269 | E291 | |

291a | Secondary | Identify congruent shapes. | drfrostmaths.com/explorer.php?ssid=5461 | ||

291b | Secondary | Identify angles and lengths in congruent shapes. | drfrostmaths.com/explorer.php?ssid=5462 | ||

291c | Secondary | Identify whether two triangles are congruent by SSS, SAS, ASA or RHS. | drfrostmaths.com/explorer.php?ssid=5463 | ||

292 | Secondary | Exam Practice: Properties of similar shapes | drfrostmaths.com/explorer.php?ssid=4270 | E292 | |

292a | Secondary | Determine an angle in a shape similar to another. | drfrostmaths.com/explorer.php?ssid=5464 | ||

292b | Secondary | Determine an angle in a shape similar to another with unknown angles. | drfrostmaths.com/explorer.php?ssid=5465 | ||

292c | Secondary | Determine the scale factor between two similar shapes. | drfrostmaths.com/explorer.php?ssid=5466 | ||

292d | Secondary | Determine if two shapes are similar given their lengths, considering the ratio of corresponding lengths in the shapes. | drfrostmaths.com/explorer.php?ssid=5467 | ||

292e | Secondary | Determine if two shapes are similar given their lengths, considering the ratio of lengths within the shapes. | drfrostmaths.com/explorer.php?ssid=5468 | ||

293 | Secondary | Exam Practice: Determine unknown lengths in similar shapes | drfrostmaths.com/explorer.php?ssid=139 | https://www.youtube.com/embed/DJfaDL9JPyo | E293 |

293a | Secondary | Determine unknown lengths given two separate similar shapes. | drfrostmaths.com/explorer.php?ssid=734 | https://www.youtube.com/embed/wlWIGPNbU1k | K520 |

293b | Secondary | Determine unknown lengths given two similar triangles with one vertex in common. | drfrostmaths.com/explorer.php?ssid=728 | https://www.youtube.com/embed/ZtX87R6zgDM | K521 |

293c | Secondary | Determine unknown lengths given two similar shapes where one is inscribed inside the other. | drfrostmaths.com/explorer.php?ssid=732 | https://www.youtube.com/embed/rCUh4spSAhM | K522 |

293d | Secondary | Determine missing lengths given two similar shapes and information about their perimeters. | drfrostmaths.com/explorer.php?ssid=5469 | ||

293e | Secondary | Calculate the amount of trimming required when enlarging an image from one size to another. | drfrostmaths.com/explorer.php?ssid=5470 | ||

293f | Secondary | Determine unknown lengths given two similar shapes where one is inscribed inside the other and requires subtraction. | drfrostmaths.com/explorer.php?ssid=733 | https://www.youtube.com/embed/j7lxlY9Wdw0 | K523 |

293g | Secondary | Determine an unknown shorter length on the coinciding side of one shape inscribed inside another. | drfrostmaths.com/explorer.php?ssid=5471 | ||

293h | Secondary | Determine a length using similar triangles combined with Pythagoras' theorem. | drfrostmaths.com/explorer.php?ssid=5472 | ||

293i | Secondary | Use similar triangles to split a length in a ratio. | drfrostmaths.com/explorer.php?ssid=5473 | ||

293j | Secondary | Prove Pythagoras' theorem using similar triangles. | drfrostmaths.com/explorer.php?ssid=5474 | ||

294 | Secondary | Exam Practice: Midpoint theorem and intercept theorem | drfrostmaths.com/explorer.php?ssid=4271 | E294 | |

294a | Secondary | Use the intercept theorem to find an unknown length on a smaller triangle. | drfrostmaths.com/explorer.php?ssid=5475 | ||

294b | Secondary | Determine lengths using the intercept theorem in a triangle where multiple lines parallel to a side have been added. | drfrostmaths.com/explorer.php?ssid=5476 | ||

294c | Secondary | Prove the midpoint theorem. | drfrostmaths.com/explorer.php?ssid=5477 | ||

294d | Secondary | Use the midpoint theorem to reason about angles or lengths in a triangle where two midpoints have been joined. | drfrostmaths.com/explorer.php?ssid=5478 | ||

294e | Secondary | Use the midpoint theorem to find the perimeter of a triangle formed by joining the midpoints of a larger triangle. | drfrostmaths.com/explorer.php?ssid=5479 | ||

294f | Secondary | Use the intercept theorem to find unknown lengths in a diagram where a parallelogram is inscribed inside a triangle. | drfrostmaths.com/explorer.php?ssid=5480 | ||

294g | Secondary | Use the converse of the midpoint theorem. | drfrostmaths.com/explorer.php?ssid=5481 | ||

295 | Secondary | Exam Practice: Describing an enlargement/dilation for a positive integer scale factor | drfrostmaths.com/explorer.php?ssid=13 | https://www.youtube.com/embed/frfbJCqYf5Y | E295 |

295a | Secondary | Identify the scale factor of enlargement/dilation. | drfrostmaths.com/explorer.php?ssid=2186 | ||

295b | Secondary | Describe an enlargement/dilation with an integer scale factor. | drfrostmaths.com/explorer.php?ssid=858 | https://www.youtube.com/embed/C-Ri_p-kz04 | K286 |

296 | Secondary | Exam Practice: Enlarging/dilating a shape by a given positive integer scale factor around a given centre of enlargement/dilation. | drfrostmaths.com/explorer.php?ssid=12 | https://www.youtube.com/embed/EbVnFbA4O5w | E296 |

296a | Secondary | Enlarge/dilate a shape by a positive integer scale factor. | drfrostmaths.com/explorer.php?ssid=803 | https://www.youtube.com/embed/i3_SRGPc1Bc | K285 |

297 | Secondary | Exam Practice: Describing an enlargement/dilation for a positive decimal or positive fractional scale factor | drfrostmaths.com/explorer.php?ssid=578 | E297 | |

297a | Secondary | Describe an enlargement/dilation with a unit fraction scale factor. | drfrostmaths.com/explorer.php?ssid=5482 | ||

297b | Secondary | Describe an enlargement/dilation with a decimal/fractional scale factor less than one. | drfrostmaths.com/explorer.php?ssid=859 | https://www.youtube.com/embed/J7xIqspTw3Q | K495 |

297c | Secondary | Describe an enlargement/dilation with a decimal/fractional scale factor greater than one. | drfrostmaths.com/explorer.php?ssid=5483 | ||

298 | Secondary | Exam Practice: Enlarging/dilating a shape by a decimal or fractional scale factor | drfrostmaths.com/explorer.php?ssid=579 | E298 | |

298a | Secondary | Enlarge/dilate a shape by a unit fraction scale factor. | drfrostmaths.com/explorer.php?ssid=5484 | ||

298b | Secondary | Enlarge/dilate a shape by a decimal or fractional scale factor less than one. | drfrostmaths.com/explorer.php?ssid=805 | https://www.youtube.com/embed/OtXz8iA2Zxs | K494 |

298c | Secondary | Enlarge/dilate a shape by a decimal or fractional scale factor greater than one. | drfrostmaths.com/explorer.php?ssid=5485 | ||

299 | Secondary | Exam Practice: Negative indices | drfrostmaths.com/explorer.php?ssid=57 | https://www.youtube.com/embed/RBPbRrHSCVs | E299 |

299a | Secondary | Raise a whole number to a negative integer power. | drfrostmaths.com/explorer.php?ssid=648 | https://www.youtube.com/embed/nGRL49vG1PA | K436 |

299b | Secondary | Raise a fraction to a negative integer power. | drfrostmaths.com/explorer.php?ssid=649 | https://www.youtube.com/embed/BRHrDcQEFao | K437 |

299c | Secondary | Raise an algebraic term to a negative integer power. | drfrostmaths.com/explorer.php?ssid=818 | https://www.youtube.com/embed/vNLeaAm9UVU | K440 |

299d | Secondary | Write a fraction with an algebraic term on the denominator as a power of x | drfrostmaths.com/explorer.php?ssid=1621 | ||

299e | Secondary | Raise an algebraic fraction to a negative integer power. | drfrostmaths.com/explorer.php?ssid=2267 | ||

299f | Secondary | Determine the unknown power in an expression involving negative indices, given its equivalent value as a fraction. | drfrostmaths.com/explorer.php?ssid=2258 | ||

299g | Secondary | Determine the unknown base in an expression involving negative indices, given its equivalent as a fraction. | drfrostmaths.com/explorer.php?ssid=2310 | ||

299h | Secondary | Determine the unknown power or base in an expression involving negative indices, given its equivalent as a decimal. | drfrostmaths.com/explorer.php?ssid=2314 | ||

299i | Secondary | Determine the unknown power in an expression involving index laws and negative indices, given its numeric equivalent. | drfrostmaths.com/explorer.php?ssid=2268 | ||

299j | Secondary | Determine the unknown base in an expression involving index laws and negative indices, given its numeric equivalent. | drfrostmaths.com/explorer.php?ssid=2311 | ||

300 | Secondary | Exam Practice: Expanding two brackets | drfrostmaths.com/explorer.php?ssid=70 | https://www.youtube.com/embed/QwAwH5qiA1Y | E300 |

300a | Secondary | Expand two brackets given in the form (x+a)(x+b) | drfrostmaths.com/explorer.php?ssid=5486 | ||

300b | Secondary | Expand two brackets given in the form (x\pm a)(x\pm b) | drfrostmaths.com/explorer.php?ssid=632 | https://www.youtube.com/embed/httabGl8BMc | K351 |

300c | Secondary | Expand two brackets given in the form (x-a)(x+a) | drfrostmaths.com/explorer.php?ssid=1351 | https://www.youtube.com/embed/VNUEuFgayfA | K354 |

300d | Secondary | Expand an expression given in the form (x \pm a)^2 | drfrostmaths.com/explorer.php?ssid=1295 | https://www.youtube.com/embed/QAFfQKZR9I8 | K353 |

300e | Secondary | Expand two brackets given in the form (ax \pm b)(cx \pm d) | drfrostmaths.com/explorer.php?ssid=633 | https://www.youtube.com/embed/JPC2aIM6OcI | K352 |

300f | Secondary | Expand two brackets given in the form (ax-b)(ax+b) | drfrostmaths.com/explorer.php?ssid=5487 | ||

300g | Secondary | Expand two brackets given in the form (a \pm bx)(c \pm dx) | drfrostmaths.com/explorer.php?ssid=5488 | ||

300h | Secondary | Expand two brackets involving multiple variables. | drfrostmaths.com/explorer.php?ssid=5489 | ||

300i | Secondary | Expand two brackets with up to three terms in a single bracket. | drfrostmaths.com/explorer.php?ssid=5490 | ||

300j | Secondary | Expand two brackets given in the form (ax \pm b)(cx^2 \pm dx \pm e) | drfrostmaths.com/explorer.php?ssid=1013 | https://www.youtube.com/embed/lYQGGK78800 | K763 |

300k | Secondary | Expand two brackets involving index laws. | drfrostmaths.com/explorer.php?ssid=5491 | ||

300l | Secondary | Expand and simplify the sum of a double and single bracket expansion. | drfrostmaths.com/explorer.php?ssid=1403 | https://www.youtube.com/embed/Mxz8iUNBvHY | K356 |

300m | Secondary | Expand and simplify the sum of two bracket expansions. | drfrostmaths.com/explorer.php?ssid=5492 | ||

300n | Secondary | Expand and simplify the difference of two bracket expansions. | drfrostmaths.com/explorer.php?ssid=1400 | https://www.youtube.com/embed/HhO2riJk_DU | K355 |

300o | Secondary | Expand an expression given in the form (ax+b)^2 - (cx+d)^2 | drfrostmaths.com/explorer.php?ssid=2017 | https://www.youtube.com/embed/2ucaW5MCrYY | |

300p | Secondary | Expand an expression given in the form (a+\frac{b}{x})^2 | drfrostmaths.com/explorer.php?ssid=2018 | https://www.youtube.com/embed/-8y8ZXmFDNk | |

301 | Secondary | Exam Practice: Expanding three (or more) brackets | drfrostmaths.com/explorer.php?ssid=501 | E301 | |

301a | Secondary | Expand a single term and two brackets given in the form ax(bx^2 \pm cx \pm d) | drfrostmaths.com/explorer.php?ssid=5493 | ||

301b | Secondary | Expand a single term and two brackets given in the form ax(bx \pm c)(dx \pm e) | drfrostmaths.com/explorer.php?ssid=2015 | https://www.youtube.com/embed/yUpHtl2FboM | |

301c | Secondary | Expand an expression given in the form (x \pm a)(x \pm b)(x \pm c) | drfrostmaths.com/explorer.php?ssid=1650 | https://www.youtube.com/embed/BuacIrsxZ6g | |

301d | Secondary | Expand an expression given in the form (x \pm a)(bx \pm c)(dx \pm e) | drfrostmaths.com/explorer.php?ssid=5494 | ||

301e | Secondary | Expand an expression given in the form (ax \pm b)(cx \pm d)(ex \pm f) | drfrostmaths.com/explorer.php?ssid=634 | https://www.youtube.com/embed/GyqOPBdGcHo | K357 |

301f | Secondary | Expand an expression given in the form (ax \pm a)^3 | drfrostmaths.com/explorer.php?ssid=1294 | https://www.youtube.com/embed/kpMH9JabDQA | K358 |

301g | Secondary | Expand an expression given in the form (ax+b)^2(cx+d) | drfrostmaths.com/explorer.php?ssid=1994 | https://www.youtube.com/embed/hxqegvamG9c | |

301h | Secondary | Expand an expression given in the form (ax+b)^3+(cx+d)^2 | drfrostmaths.com/explorer.php?ssid=2009 | https://www.youtube.com/embed/QdhWhTMVgIk | |

302 | Secondary | Exam Practice: Conversion of large numbers to and from standard form/scientific notation | drfrostmaths.com/explorer.php?ssid=45 | https://www.youtube.com/embed/v2m_PKVVLwQ | E302 |

302a | Secondary | Determine the smallest or largest value from numbers in standard form/scientific notation. | drfrostmaths.com/explorer.php?ssid=5495 | ||

302b | Secondary | Convert a large number to standard form/scientific notation. | drfrostmaths.com/explorer.php?ssid=789 | https://www.youtube.com/embed/S_3w3bpPQfM | K444 |

302c | Secondary | Convert a large number in standard form/scientific notation to a normal number. | drfrostmaths.com/explorer.php?ssid=791 | https://www.youtube.com/embed/KPcVaXrh198 | K446 |

302d | Secondary | Convert a large number given in the form a \times 10^b, where a is \ge 10 and b is positive, to standard form/scientific notation. | drfrostmaths.com/explorer.php?ssid=790 | https://www.youtube.com/embed/0sWuPH0AIBQ | K447 |

302e | Secondary | Order a mixture of larger numbers given in standard form/scientific notation and ordinary numbers. | drfrostmaths.com/explorer.php?ssid=1448 | K443 | |

302f | Secondary | Order a mixture of larger numbers given in standard form/scientific notation ordinary numbers and, a \times 10^b form, where a is \ge 10 and b is positive. | drfrostmaths.com/explorer.php?ssid=8282 | ||

302g | Secondary | Order a mixture of numbers given in standard form/scientific notation with very large powers of 10, without converting to ordinary numbers. | drfrostmaths.com/explorer.php?ssid=8283 | ||

302h | Secondary | Order large numbers written in standard form to those written in other forms, including a \times b^10, where 1\ le a < 10 and positive b . | drfrostmaths.com/explorer.php?ssid=8284 | ||

303 | Secondary | Exam Practice: Conversion of small numbers to and from standard form/scientific notation | drfrostmaths.com/explorer.php?ssid=46 | https://www.youtube.com/embed/3pUioUlapFw | E303 |

303a | Secondary | Convert a small number to standard form/scientific notation. | drfrostmaths.com/explorer.php?ssid=1263 | https://www.youtube.com/embed/nsl2604P89o | K445 |

303b | Secondary | Convert a small number in standard form/scientific notation to a normal number. | drfrostmaths.com/explorer.php?ssid=2355 | ||

303c | Secondary | Convert a number given in the form a \times 10^b, where a is <1 or \ge 10, to standard form/scientific notation. | drfrostmaths.com/explorer.php?ssid=2350 | ||

303d | Secondary | Order a mixture of small numbers given in standard form/scientific notation and ordinary numbers. | drfrostmaths.com/explorer.php?ssid=2351 | ||

303e | Secondary | Order a mixture of small numbers given in standard form/scientific notation, ordinary numbers and a \times 10^b form, where a is <1 or \ge 10 and b is negative. | drfrostmaths.com/explorer.php?ssid=8285 | ||

303f | Secondary | Order a mixture of smaller numbers given in standard form/scientific notation with very small powers of 10, without converting to ordinary numbers. | drfrostmaths.com/explorer.php?ssid=8286 | ||

303g | Secondary | Order a mixture of large and small numbers given in standard form/scientific notation and ordinary numbers. | drfrostmaths.com/explorer.php?ssid=2368 | ||

303h | Secondary | Order a mixture of large and small numbers given in standard form/scientific notation ordinary numbers and a \times 10^b form, where a is <1 or \ge 10. | drfrostmaths.com/explorer.php?ssid=8287 | ||

303i | Secondary | Order a mixture of numbers given in standard form/scientific notation with very large and very small powers of 10, without converting to ordinary numbers. | drfrostmaths.com/explorer.php?ssid=8288 | ||

303j | Secondary | Order large and small numbers written in standard form to those written in other forms, including a \times b^10, where 1\ le a < 10 | drfrostmaths.com/explorer.php?ssid=8289 | ||

304 | Secondary | Exam Practice: Adding or subtracting numbers in standard form/scientific notation | drfrostmaths.com/explorer.php?ssid=48 | https://www.youtube.com/embed/8ozX1iXs_GI | E304 |

304a | Secondary | Add or subtract large numbers in standard form/scientific notation by conversion to ordinary numbers. | drfrostmaths.com/explorer.php?ssid=795 | https://www.youtube.com/embed/pdsE38Z8UmA | K448 |

304b | Secondary | Add or subtract small numbers in standard form/scientific notation by conversion to ordinary numbers. | drfrostmaths.com/explorer.php?ssid=796 | https://www.youtube.com/embed/4XbZpicZ0Ng | K449 |

304c | Secondary | Add or subtract large numbers in standard form/scientific notation by use of equivalent powers of 10. | drfrostmaths.com/explorer.php?ssid=5496 | ||

304d | Secondary | Add or subtract small numbers in standard form/scientific notation by use of equivalent powers of 10. | drfrostmaths.com/explorer.php?ssid=5497 | ||

305 | Secondary | Exam Practice: Multiplying and dividing numbers in standard form/scientific notation | drfrostmaths.com/explorer.php?ssid=47 | https://www.youtube.com/embed/BWNWVZF41rA | E305 |

305a | Secondary | Multiply numbers in standard form/scientific notation with only positive powers where no index adjustment is required. | drfrostmaths.com/explorer.php?ssid=2373 | ||

305b | Secondary | Divide numbers in standard form/scientific notation with only positive powers where no index adjustment is required. | drfrostmaths.com/explorer.php?ssid=2377 | ||

305c | Secondary | Multiply numbers in standard form/scientific notation with only negative powers where no index adjustment is required. | drfrostmaths.com/explorer.php?ssid=2375 | ||

305d | Secondary | Divide numbers in standard form/scientific notation with only negative powers where no index adjustment is required. | drfrostmaths.com/explorer.php?ssid=2372 | ||

305e | Secondary | Multiply numbers in standard form/scientific notation with only positive powers where index adjustment is required. | drfrostmaths.com/explorer.php?ssid=792 | https://www.youtube.com/embed/-Tt7_UTKfTM | K450 |

305f | Secondary | Divide numbers in standard form/scientific notation with only positive powers where index adjustment is required. | drfrostmaths.com/explorer.php?ssid=793 | https://www.youtube.com/embed/P-eRRr-6kF4 | K451 |

305g | Secondary | Multiply numbers in standard form/scientific notation with only negative powers where index adjustment is required. | drfrostmaths.com/explorer.php?ssid=2376 | ||

305h | Secondary | Divide numbers in standard form/scientific notation with only negative powers where index adjustment is required. | drfrostmaths.com/explorer.php?ssid=2379 | ||

305i | Secondary | Multiply numbers in standard form/scientific notation with positive and negative powers which may require adjustment. | drfrostmaths.com/explorer.php?ssid=2378 | ||

305j | Secondary | Divide numbers in standard form/scientific notation with positive and negative powers which may require adjustment. | drfrostmaths.com/explorer.php?ssid=794 | https://www.youtube.com/embed/wAF2i7JMh9w | K452 |

305k | Secondary | Raise an algebraic expression in standard form to a positive integer power, converting back to standard form. | drfrostmaths.com/explorer.php?ssid=5498 | ||

306 | Secondary | Exam Practice: Bases of number systems and counting in different bases | drfrostmaths.com/explorer.php?ssid=430 | E306 | |

306a | Secondary | Count in bases other than base 10. | drfrostmaths.com/explorer.php?ssid=5499 | ||

306b | Secondary | Identify the base of a number system. | drfrostmaths.com/explorer.php?ssid=5500 | ||

307 | Secondary | Exam Practice: Converting numbers to decimal from another base | drfrostmaths.com/explorer.php?ssid=431 | E307 | |

307a | Secondary | Convert numbers to decimal from binary. | drfrostmaths.com/explorer.php?ssid=1855 | https://www.youtube.com/embed/6uDIPxV7VhA | |

307b | Secondary | Convert numbers to decimal from any base between 3 and 9. | drfrostmaths.com/explorer.php?ssid=1858 | https://www.youtube.com/embed/LAlLv8ddgpY | |

307c | Secondary | Convert numbers to decimal from any base greater than 10. | drfrostmaths.com/explorer.php?ssid=1859 | https://www.youtube.com/embed/nLzcKkcZnyo | |

307d | Secondary | Write an expression, in terms of n for the value of a number in decimal, when written in base n | drfrostmaths.com/explorer.php?ssid=5501 | ||

308 | Secondary | Exam Practice: Converting a number from decimal to another base. | drfrostmaths.com/explorer.php?ssid=432 | E308 | |

308a | Secondary | Convert numbers from decimal to binary. | drfrostmaths.com/explorer.php?ssid=1861 | ||

308b | Secondary | Convert numbers from decimal to any base between 3 and 9. | drfrostmaths.com/explorer.php?ssid=1862 | ||

308c | Secondary | Convert numbers from decimal to any base greater than 10. | drfrostmaths.com/explorer.php?ssid=1863 | ||

309 | Secondary | Exam Practice: Converting to and from other ancient number systems | drfrostmaths.com/explorer.php?ssid=4272 | E309 | |

309a | Secondary | Convert a number from Egyptian numeral hieroglyphs to decimal. | drfrostmaths.com/explorer.php?ssid=5502 | ||

309b | Secondary | Convert a number from Mayan (base 20) to decimal. | drfrostmaths.com/explorer.php?ssid=5503 | ||

309c | Secondary | Convert a number from Babylonian (base 60) to decimal. | drfrostmaths.com/explorer.php?ssid=5504 | ||

309d | Secondary | Convert a number from Cisterian numerals to decimal. | drfrostmaths.com/explorer.php?ssid=5505 | ||

310 | Secondary | Exam Practice: Understanding algebraic statements of inequality | drfrostmaths.com/explorer.php?ssid=87 | https://www.youtube.com/embed/aospnqxvk2w | E310 |

310a | Secondary | Represent a one-ended inequality on a number line. | drfrostmaths.com/explorer.php?ssid=1121 | https://www.youtube.com/embed/JKSbMlBdeyA | K341 |

310b | Secondary | Interpret a one-ended inequality represented on a number line. | drfrostmaths.com/explorer.php?ssid=1055 | https://www.youtube.com/embed/iKJN-j4eIu4 | K342 |

310c | Secondary | Represent a two-ended inequality on a number line. | drfrostmaths.com/explorer.php?ssid=5506 | ||

310d | Secondary | Interpret a two-ended inequality represented on a number line. | drfrostmaths.com/explorer.php?ssid=5507 | ||

310e | Secondary | List the integer values represented by an inequality on a number line. | drfrostmaths.com/explorer.php?ssid=5508 | ||

311 | Secondary | Exam Practice: Upper and lower bound of rounded values or identifying an error interval | drfrostmaths.com/explorer.php?ssid=156 | https://www.youtube.com/embed/sfrT6b8QoXM | E311 |

311a | Secondary | Calculate bounds of a number rounded to the nearest 1, 10, 100, 1000. | drfrostmaths.com/explorer.php?ssid=808 | https://www.youtube.com/embed/OwzB3rcsWR8 | K453 |

311b | Secondary | Calculate bounds of a number rounded to a given number of decimal places. | drfrostmaths.com/explorer.php?ssid=809 | https://www.youtube.com/embed/2j9h0Y-DY-I | K454 |

311c | Secondary | Calculate bounds of a number rounded to a given number of significant figures. | drfrostmaths.com/explorer.php?ssid=810 | https://www.youtube.com/embed/CsaqPmsDV3Q | K455 |

311d | Secondary | Calculate bounds of a number truncated to a given number of decimal places. | drfrostmaths.com/explorer.php?ssid=1078 | https://www.youtube.com/embed/wQwj6sVOMzg | K458 |

311e | Secondary | Determine the error interval of a rounded number. | drfrostmaths.com/explorer.php?ssid=1120 | https://www.youtube.com/embed/4l6Q6IdYkQc | K456 |

312 | Secondary | Exam Practice: Forming a grouped frequency table (using inequality notation) | drfrostmaths.com/explorer.php?ssid=4273 | E312 | |

312a | Secondary | Read off frequency values from grouped frequency tables. | drfrostmaths.com/explorer.php?ssid=2344 | ||

312b | Secondary | Form a grouped frequency table. | drfrostmaths.com/explorer.php?ssid=722 | https://www.youtube.com/embed/kR-nhxuin84 | K253 |

313 | Secondary | Exam Practice: Estimating the mean from grouped frequency tables | drfrostmaths.com/explorer.php?ssid=387 | https://www.youtube.com/embed/lAWcjzTaj6c | E313 |

313a | Secondary | Explain why midpoints are used to make estimates from grouped frequency tables. | drfrostmaths.com/explorer.php?ssid=5509 | ||

313b | Secondary | Estimate the total from a grouped frequency table. | drfrostmaths.com/explorer.php?ssid=1437 | https://www.youtube.com/embed/Catys9NjVvc | K254 |

313c | Secondary | Estimate the mean from a grouped frequency table. | drfrostmaths.com/explorer.php?ssid=743 | https://www.youtube.com/embed/Jgd-GrmEGiY | K255 |

313d | Secondary | Determine an unknown frequency given an estimated mean for a grouped frequency table. | drfrostmaths.com/explorer.php?ssid=5510 | ||

314 | Secondary | Exam Practice: Modal and median class interval and estimate of the range from a grouped frequency table | drfrostmaths.com/explorer.php?ssid=4274 | E314 | |

314a | Secondary | Identify the modal class from a grouped frequency table. | drfrostmaths.com/explorer.php?ssid=1388 | https://www.youtube.com/embed/cJzf3yxizC0 | K256 |

314b | Secondary | Identify the class interval of the median for a grouped frequency table. | drfrostmaths.com/explorer.php?ssid=1425 | https://www.youtube.com/embed/Am9Fj9A0Vr8 | K257 |

314c | Secondary | Determine possible maximum and minimum ranges from grouped frequency tables. | drfrostmaths.com/explorer.php?ssid=5511 | ||

315 | Secondary | Exam Practice: Histograms of equal class width | drfrostmaths.com/explorer.php?ssid=4275 | E315 | |

315a | Secondary | Complete a histogram with equal class widths using a frequency table. | drfrostmaths.com/explorer.php?ssid=5512 | ||

315b | Secondary | Calculate the frequency of a given range. | drfrostmaths.com/explorer.php?ssid=5513 | ||

315c | Secondary | Calculate a proportion or probability from a histogram with equal class widths. | drfrostmaths.com/explorer.php?ssid=8323 | ||

316 | Secondary | Exam Practice: Frequency polygons | drfrostmaths.com/explorer.php?ssid=335 | https://www.youtube.com/embed/Tpw76PK3zxY | E316 |

316a | Secondary | Interpret a frequency polygon for ungrouped data. | drfrostmaths.com/explorer.php?ssid=5514 | ||

316b | Secondary | Draw a frequency polygon for ungrouped data. | drfrostmaths.com/explorer.php?ssid=1054 | https://www.youtube.com/embed/MppB0LJJOmY | K268 |

316c | Secondary | Interpret a frequency polygon for grouped data. | drfrostmaths.com/explorer.php?ssid=5515 | ||

316d | Secondary | Draw a frequency polygon for grouped data. | drfrostmaths.com/explorer.php?ssid=5516 | ||

316e | Secondary | Compare data sets using frequency polygons. | drfrostmaths.com/explorer.php?ssid=5517 | ||

317 | Secondary | Exam Practice: Analysing graphical representations | drfrostmaths.com/explorer.php?ssid=4276 | E317 | |

317a | Secondary | Determine the most suitable graphical representation for a set of data. | drfrostmaths.com/explorer.php?ssid=5518 | ||

317b | Secondary | Determine the modal value or class interval from a given graphical representation. | drfrostmaths.com/explorer.php?ssid=5519 | ||

317c | Secondary | Determine the median value or class interval from a given graphical representation. | drfrostmaths.com/explorer.php?ssid=5520 | ||

317d | Secondary | Determine the range or an estimate of the range from a given graphical representation. | drfrostmaths.com/explorer.php?ssid=5521 | ||

317e | Secondary | Determine the mean or an estimate of the mean value from a given graphical representation. | drfrostmaths.com/explorer.php?ssid=5522 | ||

317f | Secondary | Understand how graphical representations can be used to mislead. | drfrostmaths.com/explorer.php?ssid=5523 | ||

318 | Secondary | Exam Practice: Further terms in relation to circles, including chord and segment | drfrostmaths.com/explorer.php?ssid=130 | https://www.youtube.com/embed/KtvUWq_6ji0 | E318 |

318a | Secondary | DELETED Know key terms in relation to circles. | drfrostmaths.com/explorer.php?ssid=1050 | https://www.youtube.com/embed/-FYqvODpFzY | K295 |

318a | Secondary | Identify chords and segments of a circle. | drfrostmaths.com/explorer.php?ssid=5524 | ||

318b | Secondary | Understand and use the relationship between a chord and its perpendicular bisector. | drfrostmaths.com/explorer.php?ssid=5525 | ||

318c | Secondary | Use the property that equal chords are equidistant from the centre of a circle. | drfrostmaths.com/explorer.php?ssid=5526 | ||

319 | Secondary | Exam Practice: Arc length of more general sectors | drfrostmaths.com/explorer.php?ssid=370 | https://www.youtube.com/embed/ftfKqYOV1pU | E319 |

319a | Secondary | Calculate the arc length of a sector of a circle. | drfrostmaths.com/explorer.php?ssid=1544 | https://www.youtube.com/embed/Z2TX1j6L6Lc | K739 |

319b | Secondary | Calculate the perimeter of a sector of a circle. | drfrostmaths.com/explorer.php?ssid=721 | https://www.youtube.com/embed/KG7TmtN5LoM | K498 |

319c | Secondary | Determine the angle of a sector given its arc length and radius. | drfrostmaths.com/explorer.php?ssid=786 | https://www.youtube.com/embed/_p69pN_x4rU | K500 |

319d | Secondary | Determine the radius of a sector given its arc length and angle. | drfrostmaths.com/explorer.php?ssid=785 | https://www.youtube.com/embed/4ONZUnSTTRY | K499 |

319e | Secondary | Determine the area of a sector given its arc length. | drfrostmaths.com/explorer.php?ssid=2218 | ||

319f | Secondary | Determine the perimeter of a portion of an annulus. | drfrostmaths.com/explorer.php?ssid=2220 | ||

319g | Secondary | Determine the perimeter or arc length of a sector given its area. | drfrostmaths.com/explorer.php?ssid=2217 | ||

320 | Secondary | Exam Practice: Area of more general sectors | drfrostmaths.com/explorer.php?ssid=575 | E320 | |

320a | Secondary | Calculate the area of the sector of a circle. | drfrostmaths.com/explorer.php?ssid=720 | https://www.youtube.com/embed/VQ2oYjLIGlM | K501 |

320b | Secondary | Determine the angle of a sector given its area and radius. | drfrostmaths.com/explorer.php?ssid=787 | https://www.youtube.com/embed/ECTZMzpGf5I | K503 |

320c | Secondary | Determine the radius of a sector given its area and angle. | drfrostmaths.com/explorer.php?ssid=784 | https://www.youtube.com/embed/j2LnyqJlCXU | K502 |

320d | Secondary | Determine the area of a portion of an annulus given the area of a sector. | drfrostmaths.com/explorer.php?ssid=5527 | ||

321 | Secondary | Exam Practice: Further constructions involving relationships of triangles and circles | drfrostmaths.com/explorer.php?ssid=4277 | E321 | |

321a | Secondary | Construct the circumcentre and circumcircle of a triangle. | drfrostmaths.com/explorer.php?ssid=5528 | ||

321b | Secondary | Construct the incentre and incircle of a triangle. | drfrostmaths.com/explorer.php?ssid=5529 | ||

321c | Secondary | Construct a tangent to a circle at a point. | drfrostmaths.com/explorer.php?ssid=5530 | ||

321d | Secondary | Construct the centroid of a triangle. | drfrostmaths.com/explorer.php?ssid=5531 | ||

321e | Secondary | Construct the orthocentre of a triangle. | drfrostmaths.com/explorer.php?ssid=5532 | ||

322 | Secondary | Exam Practice: Trigonometry to determine side lengths in a right-angled triangle | drfrostmaths.com/explorer.php?ssid=147 | https://www.youtube.com/embed/r6xuUjwyKek | E322 |

322 | Secondary | Exam Practice: Solve problems involving general spatial awareness and reasoning. | drfrostmaths.com/explorer.php?ssid=372 | E322 | |

322a | Secondary | Label sides relative to a given angle in a right-angled triangle. | drfrostmaths.com/explorer.php?ssid=729 | https://www.youtube.com/embed/kcL9jUuWT1o | K482 |

322b | Secondary | Select a trigonometric ratio. | drfrostmaths.com/explorer.php?ssid=1536 | K732 | |

322c | Secondary | Use \sin, \cos and \tan to determine an unknown shorter length in a right-angled triangle. | drfrostmaths.com/explorer.php?ssid=591 | https://www.youtube.com/embed/EybxUCj6yW0 | K483 |

322d | Secondary | Use \sin, \cos and \tan to determine the hypotenuse or adjacent side in a right-angled triangle. | drfrostmaths.com/explorer.php?ssid=730 | https://www.youtube.com/embed/2TsUAaz5X-c | K484 |

322e | Secondary | Use Pythagoras' theorem then trigonometry to determine an unknown side. | drfrostmaths.com/explorer.php?ssid=1227 | https://www.youtube.com/embed/HmL6V_LDHsA | K485 |

322f | Secondary | Determine a length in a right-angled triangle by first using a ratio to determine the angles. | drfrostmaths.com/explorer.php?ssid=1725 | ||

322g | Secondary | Determine lengths involving angles of depression or elevation. | drfrostmaths.com/explorer.php?ssid=1952 | ||

322h | Secondary | Use trigonometry to determine the perimeter or a length within an isosceles triangle. | drfrostmaths.com/explorer.php?ssid=5533 | ||

322i | Secondary | Use trigonometry to determine the perimeter or a length within a trapezium. | drfrostmaths.com/explorer.php?ssid=1953 | ||

322j | Secondary | Use trigonometry to determine the area of a right-angled triangle. | drfrostmaths.com/explorer.php?ssid=1954 | ||

322k | Secondary | Use trigonometry to determine the area of an isosceles triangle. | drfrostmaths.com/explorer.php?ssid=1955 | ||

322l | Secondary | Determine a length within one triangle inscribed inside another. | drfrostmaths.com/explorer.php?ssid=1956 | ||

322m | Secondary | Determine a length of an isosceles triangle with an inscribed circle. | drfrostmaths.com/explorer.php?ssid=1957 | ||

322n | Secondary | Determine the area of an isosceles triangle with an inscribed circle. | drfrostmaths.com/explorer.php?ssid=2061 | ||

322o | Secondary | Use trigonometry to determine the area of the kite created by two radii and two tangents of a circle. | drfrostmaths.com/explorer.php?ssid=1958 | ||

322p | Secondary | Determine the length of a perpendicular bisector of a chord in a circle. | drfrostmaths.com/explorer.php?ssid=2118 | ||

322q | Secondary | Determine the lengths of a right-angled triangle to calculate the perimeter of a compound shape. | drfrostmaths.com/explorer.php?ssid=1960 | ||

322r | Secondary | Solve a problem with bearings using trigonometry in a right-angled triangle. | drfrostmaths.com/explorer.php?ssid=1471 | K671 | |

322s | Secondary | Use trigonometry to determine the area enclosed between two tangents and the arc of a circle. | drfrostmaths.com/explorer.php?ssid=1959 | ||

323 | Secondary | Exam Practice: Trigonometry to determine angles in a right-angled triangle | drfrostmaths.com/explorer.php?ssid=148 | https://www.youtube.com/embed/5brkGmejvqU | E323 |

323a | Secondary | Use inverse trigonometric functions to solve \sin x = a using a calculator. | drfrostmaths.com/explorer.php?ssid=1759 | ||

323b | Secondary | Use trigonometry to determine unknown angles in a right-angled triangle. | drfrostmaths.com/explorer.php?ssid=731 | https://www.youtube.com/embed/daP8ZMdCoyk | K486 |

323c | Secondary | Use Pythagoras' theorem then trigonometry to determine an unknown angle. | drfrostmaths.com/explorer.php?ssid=1225 | https://www.youtube.com/embed/d6W2CzbyKos | K487 |

323d | Secondary | Use trigonometry to determine angles of elevation and depression. | drfrostmaths.com/explorer.php?ssid=1675 | ||

323e | Secondary | Determine an angle when a ratio of sides is given. | drfrostmaths.com/explorer.php?ssid=2142 | ||

323f | Secondary | Determine an angle in an isosceles triangle (no cosine rule/Law of Cosines). | drfrostmaths.com/explorer.php?ssid=2145 | ||

323g | Secondary | Use trigonometry to determine a length followed by an angle. | drfrostmaths.com/explorer.php?ssid=2146 | ||

323h | Secondary | Determine an angle in a scalene triangle drawn on a unit grid, where a side length is aligned to the grid. | drfrostmaths.com/explorer.php?ssid=2147 | ||

323i | Secondary | Determine an angle in a scalene triangle drawn on a unit grid, where a side lengths are not aligned to the grid. | drfrostmaths.com/explorer.php?ssid=8290 | ||

323j | Secondary | Use trigonometry to determine an angle in inscribed triangles. | drfrostmaths.com/explorer.php?ssid=2148 | ||

323k | Secondary | Determine an angle in a trapezium using Pythagoras' theorem or three of the lengths. | drfrostmaths.com/explorer.php?ssid=2149 | ||

323l | Secondary | Determine an angle in a trapezium using its area and parallel sides. | drfrostmaths.com/explorer.php?ssid=2150 | ||

323m | Secondary | Use trigonometry to determine an arc length given tangents and radii of a circle. | drfrostmaths.com/explorer.php?ssid=2151 | ||

324 | Secondary | Exam Practice: Converting between units of area and volume | drfrostmaths.com/explorer.php?ssid=154 | https://www.youtube.com/embed/6xEMe5M9VJg | E324 |

324a | Secondary | Convert metric units of area by multiplying. | drfrostmaths.com/explorer.php?ssid=1211 | https://www.youtube.com/embed/FxRCoWfVt_E | K529 |

324b | Secondary | Convert metric units of area by dividing. | drfrostmaths.com/explorer.php?ssid=1212 | https://www.youtube.com/embed/Y4McxXelJvw | K530 |

324c | Secondary | Convert metric units of volume by multiplying. | drfrostmaths.com/explorer.php?ssid=1213 | https://www.youtube.com/embed/e2v1ZyfhmIE | K531 |

324d | Secondary | Convert metric units of volume by dividing. | drfrostmaths.com/explorer.php?ssid=1214 | https://www.youtube.com/embed/lizhx89P7Ug | K532 |

324e | Secondary | Convert from units of capacity to units of volume. | drfrostmaths.com/explorer.php?ssid=1282 | K135 | |

324f | Secondary | Convert from units of volume to units of capacity. | drfrostmaths.com/explorer.php?ssid=1283 | K134 | |

325 | Secondary | Exam Practice: Relationship between scale factors of length, area and volume | drfrostmaths.com/explorer.php?ssid=140 | https://www.youtube.com/embed/ao0GmorAq3I | E325 |

325a | Secondary | Determine the area of a shape, given the area of a similar shape and their side lengths. | drfrostmaths.com/explorer.php?ssid=824 | https://www.youtube.com/embed/efHHb2-wUnI | K524 |

325b | Secondary | Determine an unknown length of a shape, given the area of two similar shapes and one of their side lengths. | drfrostmaths.com/explorer.php?ssid=5534 | ||

325c | Secondary | Determine the volume of a shape, given the volume of a similar shape and their side lengths. | drfrostmaths.com/explorer.php?ssid=826 | https://www.youtube.com/embed/SoMC_burbac | K525 |

325d | Secondary | Determine an unknown length of a shape, given the volume of two similar shapes and one of their side lengths. | drfrostmaths.com/explorer.php?ssid=5535 | ||

325e | Secondary | Determine the surface area of a similar solid when the volumes are given. | drfrostmaths.com/explorer.php?ssid=825 | https://www.youtube.com/embed/bCvYK5ba4Ug | K526 |

325f | Secondary | Determine the volume of a similar solid when the surface areas are given. | drfrostmaths.com/explorer.php?ssid=827 | https://www.youtube.com/embed/u411Iper_bM | K527 |

325g | Secondary | Determine the surface area/volume of a similar solid when the scale factor of surface area/volume is given in ratio form. | drfrostmaths.com/explorer.php?ssid=828 | https://www.youtube.com/embed/cYFDbET1njU | K528 |

325h | Secondary | Appreciate that scale factor of mass is the same as scale factor of volume where the material is the same. | drfrostmaths.com/explorer.php?ssid=2237 | ||

325i | Secondary | Determine an actual area given an area on the map. | drfrostmaths.com/explorer.php?ssid=1575 | K754 | |

325j | Secondary | Determine an area on a map given the actual area. | drfrostmaths.com/explorer.php?ssid=1576 | K755 | |

325k | Secondary | Determine an area for inscribed triangles. | drfrostmaths.com/explorer.php?ssid=2269 | ||

325l | Secondary | Form an equation relating areas in inscribed triangles. | drfrostmaths.com/explorer.php?ssid=2281 | ||

325m | Secondary | Use the area of a shape to determine the increase in area to a similar shape that it is inscribed in. | drfrostmaths.com/explorer.php?ssid=2287 | ||

325n | Secondary | Use the area of a shape to determine the increase in area from a similar shape inscribed in it. | drfrostmaths.com/explorer.php?ssid=2307 | ||

325o | Secondary | Use the area of increase from an enlarged shape to determine the area of the original shape. | drfrostmaths.com/explorer.php?ssid=2325 | ||

325p | Secondary | Solve problems involving similarity of a frustum and its original cone or pyramid. | drfrostmaths.com/explorer.php?ssid=2326 | ||

326 | Secondary | Exam Practice: Speed calculations for a single journey | drfrostmaths.com/explorer.php?ssid=155 | https://www.youtube.com/embed/J_r_TopXCME | E326 |

326a | Secondary | Calculate the average speed given the distance and time. | drfrostmaths.com/explorer.php?ssid=739 | https://www.youtube.com/embed/hkF8L21LJrk | K512 |

326b | Secondary | Calculate the average speed when the time is given in hours and minutes. | drfrostmaths.com/explorer.php?ssid=5536 | ||

326c | Secondary | Calculate the distance given the average speed and time. | drfrostmaths.com/explorer.php?ssid=740 | https://www.youtube.com/embed/3y5aSr1qRhg | K513 |

326d | Secondary | Calculate the time given the average speed and distance. | drfrostmaths.com/explorer.php?ssid=741 | https://www.youtube.com/embed/gCybJxJ4YKo | K514 |

326e | Secondary | Calculate a speed or distance using a timetable. | drfrostmaths.com/explorer.php?ssid=5537 | ||

326f | Secondary | Solve problems involving speed with unit conversions | drfrostmaths.com/explorer.php?ssid=1742 | ||

326g | Secondary | Calculate speed or time using the perimeter of a shape. | drfrostmaths.com/explorer.php?ssid=5538 | ||

327 | Secondary | Exam Practice: Speed calculations for multiple journeys or a journey in stages | drfrostmaths.com/explorer.php?ssid=4278 | E327 | |

327a | Secondary | Calculate the end time on a 12 or 24 hour clock using a calculation involving speed, distance and time. | drfrostmaths.com/explorer.php?ssid=5539 | ||

327b | Secondary | Determine the speed, distance or time in the second part of a journey. | drfrostmaths.com/explorer.php?ssid=5540 | ||

327c | Secondary | Determine the average speed by combining two parts of a journey. | drfrostmaths.com/explorer.php?ssid=1399 | https://www.youtube.com/embed/Pwh-5dLKH4M | K515 |

327d | Secondary | Use a speed, distance or time calculation from one journey to make a calculation about another journey. | drfrostmaths.com/explorer.php?ssid=5541 | ||

328 | Secondary | Exam Practice: Constructing and reading distance-time graphs | drfrostmaths.com/explorer.php?ssid=395 | E328 | |

328a | Secondary | State the distance from a point using a distance-time graph. | drfrostmaths.com/explorer.php?ssid=2278 | ||

328b | Secondary | State the time of specific events on a distance-time graph. | drfrostmaths.com/explorer.php?ssid=2161 | ||

328c | Secondary | State the duration of specific events on a distance-time graph. | drfrostmaths.com/explorer.php?ssid=2162 | ||

328d | Secondary | Calculate a speed on a distance-time graph. | drfrostmaths.com/explorer.php?ssid=1125 | K327 | |

328e | Secondary | Construct a distance-time graph from provided information. | drfrostmaths.com/explorer.php?ssid=1124 | https://www.youtube.com/embed/fEGH5satAEw | K326 |

329 | Secondary | Exam Practice: Density | drfrostmaths.com/explorer.php?ssid=400 | https://www.youtube.com/embed/XZM9k8j1dOc | E329 |

329a | Secondary | Calculate the density given the mass and the volume. | drfrostmaths.com/explorer.php?ssid=1289 | https://www.youtube.com/embed/H_o8tewYAjk | K517 |

329b | Secondary | Calculate the mass given the density and the volume. | drfrostmaths.com/explorer.php?ssid=1290 | https://www.youtube.com/embed/eAzRq-9fRTQ | K518 |

329c | Secondary | Calculate the volume given the density and the mass. | drfrostmaths.com/explorer.php?ssid=1291 | https://www.youtube.com/embed/f-ipLI__7DA | K519 |

329d | Secondary | Solve problems involving mass, density and volume of a cuboid or prism (excluding cylinders). | drfrostmaths.com/explorer.php?ssid=5542 | ||

329e | Secondary | Solve problems involving mass, density and volume of a cylinder. | drfrostmaths.com/explorer.php?ssid=5543 | ||

329f | Secondary | Problem solve using mass, density and volume, involving mixed units. | drfrostmaths.com/explorer.php?ssid=5544 | ||

329g | Secondary | Solve problems involving two densities. | drfrostmaths.com/explorer.php?ssid=1445 | K516 | |

330 | Secondary | Exam Practice: Pressure | drfrostmaths.com/explorer.php?ssid=4279 | E330 | |

330a | Secondary | Calculate pressure, force or area where two of the values are provided. | drfrostmaths.com/explorer.php?ssid=5545 | ||

330b | Secondary | Solve problems involving pressure, force and area involving a surface or 3D shape. | drfrostmaths.com/explorer.php?ssid=5546 | ||

331 | Secondary | Exam Practice: Other compound measures (excluding speed, pressure and density) | drfrostmaths.com/explorer.php?ssid=4280 | E331 | |

331a | Secondary | Calculate general compound measures, such as rate of flow. | drfrostmaths.com/explorer.php?ssid=5547 | ||

331b | Secondary | Determine the time to fill or empty a container given the rate of flow. | drfrostmaths.com/explorer.php?ssid=1577 | K756 | |

331c | Secondary | Solve problems involving rate of flow in more complex solids. | drfrostmaths.com/explorer.php?ssid=5548 | ||

332 | Secondary | Exam Practice: Convert between units for compound measures | drfrostmaths.com/explorer.php?ssid=4281 | E332 | |

332a | Secondary | Convert between compound measures where only the first unit changes. | drfrostmaths.com/explorer.php?ssid=5549 | ||

332b | Secondary | Convert between compound measures where only the second unit changes. | drfrostmaths.com/explorer.php?ssid=5550 | ||

332c | Secondary | Convert between compound measures where both units change. | drfrostmaths.com/explorer.php?ssid=5551 | ||

332d | Secondary | Convert between m/s and km/h. | drfrostmaths.com/explorer.php?ssid=2090 | ||

332e | Secondary | Convert between N/cm^2 and N/m^2 | drfrostmaths.com/explorer.php?ssid=5552 | ||

332f | Secondary | Convert between g/cm^3 and kg/m^3 | drfrostmaths.com/explorer.php?ssid=5553 | ||

333 | Secondary | Exam Practice: Real-life linear graphs | drfrostmaths.com/explorer.php?ssid=4282 | E333 | |

333a | Secondary | Determine the gradient of a straight line which is drawn in context. | drfrostmaths.com/explorer.php?ssid=5554 | ||

333b | Secondary | Determine the y-intercept of a straight line which is drawn in context. | drfrostmaths.com/explorer.php?ssid=5555 | ||

333c | Secondary | Interpret the gradient of a straight line which is drawn in context. | drfrostmaths.com/explorer.php?ssid=5556 | ||

333d | Secondary | Interpret the y-intercept of a straight line which is drawn in context. | drfrostmaths.com/explorer.php?ssid=5557 | ||

333e | Secondary | Determine the equation of a straight line which is drawn in context. | drfrostmaths.com/explorer.php?ssid=5558 | ||

333f | Secondary | Interpret the gradient and y-intercept of a line of best fit. | drfrostmaths.com/explorer.php?ssid=8307 | ||

333g | Secondary | Determine the equation of a line of best fit. | drfrostmaths.com/explorer.php?ssid=8308 | ||

333h | Secondary | Make connections between the shape of a graph and the story of a phenomenon. | drfrostmaths.com/explorer.php?ssid=5559 | ||

334 | Secondary | Exam Practice: Infinite number sets | drfrostmaths.com/explorer.php?ssid=4283 | E334 | |

334a | Secondary | Determine whether a number is in \mathbb{N} and/or \mathbb{Z} | drfrostmaths.com/explorer.php?ssid=5560 | ||

334b | Secondary | Determine if a number is rational or irrational. | drfrostmaths.com/explorer.php?ssid=5561 | ||

334c | Secondary | Determine whether a number is in \mathbb{N}, \mathbb{Z}, \mathbb{R} and/or \mathbb{Q} | drfrostmaths.com/explorer.php?ssid=5562 | ||

334d | Secondary | Represent an inequality on a number line, considering only a given infinite number set. | drfrostmaths.com/explorer.php?ssid=5563 | ||

334e | Secondary | Sums and products of irrational and rational numbers. | drfrostmaths.com/explorer.php?ssid=5564 | ||

335 | Secondary | Exam Practice: Simplifying surds | drfrostmaths.com/explorer.php?ssid=62 | https://www.youtube.com/embed/LDH_VS1fwYE | E335 |

335a | Secondary | Simplify a surd. | drfrostmaths.com/explorer.php?ssid=678 | https://www.youtube.com/embed/mT9t_pRky2w | K673 |

335b | Secondary | Simplify a multiple of a surd. | drfrostmaths.com/explorer.php?ssid=1327 | https://www.youtube.com/embed/31n9Vi6tI3U | K674 |

335c | Secondary | Write a surd in the form \sqrt{a} | drfrostmaths.com/explorer.php?ssid=1618 | https://www.youtube.com/embed/-6O7wCQjd_o | |

336 | Secondary | Exam Practice: Multiplying and dividing surds | drfrostmaths.com/explorer.php?ssid=366 | https://www.youtube.com/embed/XiuLvyXyRxY | E336 |

336a | Secondary | Multiply two surds or a surd and a non-surd. | drfrostmaths.com/explorer.php?ssid=681 | https://www.youtube.com/embed/oje4wceCRrY | K675 |

336b | Secondary | Square a surd. | drfrostmaths.com/explorer.php?ssid=5565 | ||

336c | Secondary | Multiply multiples of surds. | drfrostmaths.com/explorer.php?ssid=1985 | https://www.youtube.com/embed/B5OcuvQQsWY | |

336d | Secondary | Square a multiple of a surd. | drfrostmaths.com/explorer.php?ssid=1986 | https://www.youtube.com/embed/bW2BdKo9V_M | |

336e | Secondary | Multiply two surds that require simplifying. | drfrostmaths.com/explorer.php?ssid=682 | https://www.youtube.com/embed/xg2FjpqB8fg | K676 |

336f | Secondary | Divide two surds. | drfrostmaths.com/explorer.php?ssid=683 | https://www.youtube.com/embed/CfX7K9lBx7c | K677 |

336g | Secondary | Divide two surds that require simplifying. | drfrostmaths.com/explorer.php?ssid=1733 | https://www.youtube.com/embed/QVmWAGIpPhw | |

336h | Secondary | Multiply or divide surds with algebra. | drfrostmaths.com/explorer.php?ssid=1619 | https://www.youtube.com/embed/dcOwRSBNpDU | |

336i | Secondary | Generate a geometric sequence with a surd as common ratio. | drfrostmaths.com/explorer.php?ssid=5566 | ||

337 | A Level, Secondary | Exam Practice: Adding and subtracting surds | drfrostmaths.com/explorer.php?ssid=61 | https://www.youtube.com/embed/O0Hm8oAgrPI | E337 |

337a | Secondary, A Level | Add or subtract surds with the same root. | drfrostmaths.com/explorer.php?ssid=679 | https://www.youtube.com/embed/zIPsPUHMsL4 | K678 |

337b | Secondary, A Level | Add or subtract surds that require simplifying. | drfrostmaths.com/explorer.php?ssid=680 | https://www.youtube.com/embed/vlqatolhDwc | K679 |

338 | Secondary | Exam Practice: Expanding brackets with surds | drfrostmaths.com/explorer.php?ssid=4284 | E338 | |

338a | Secondary | Expand a single bracket with surds. | drfrostmaths.com/explorer.php?ssid=685 | https://www.youtube.com/embed/3Q9HxC3TgAE | K680 |

338b | Secondary | Expand a single bracket with surds, where simplification of surds is required. | drfrostmaths.com/explorer.php?ssid=1987 | https://www.youtube.com/embed/JrWRh-MYsqY | |

338c | Secondary | Expand two brackets involving surds given in the form (a+\sqrt{b})(c+\sqrt{b}) | drfrostmaths.com/explorer.php?ssid=867 | https://www.youtube.com/embed/9SpdRhVL2TM | K681 |

338d | Secondary | Expand two brackets with surds, where simplification of surds is required. | drfrostmaths.com/explorer.php?ssid=869 | https://www.youtube.com/embed/eLPnx0ANuso | K682 |

338e | Secondary | Expand two brackets involving multiples of surds. | drfrostmaths.com/explorer.php?ssid=870 | https://www.youtube.com/embed/tR2bBd4D7OM | K683 |

338f | Secondary | Square a bracket involving surds. | drfrostmaths.com/explorer.php?ssid=871 | https://www.youtube.com/embed/FKdFK5Dtkqg | K684 |

338g | Secondary | Multiply three brackets involving surds. | drfrostmaths.com/explorer.php?ssid=1990 | https://www.youtube.com/embed/-LrZUmdQDWM | |

338h | Secondary | Compare coefficients of surds and non-surds to determine values of variables. | drfrostmaths.com/explorer.php?ssid=1993 | https://www.youtube.com/embed/VryGlnNEbIw | |

339 | Secondary | Exam Practice: Pythagoras' Theorem with surds | drfrostmaths.com/explorer.php?ssid=4285 | E339 | |

339a | Secondary | Use Pythagoras' theorem giving the answer in simplified surd form. | drfrostmaths.com/explorer.php?ssid=5567 | ||

339b | Secondary | Use Pythagoras' theorem to find the distance between two points in simplified surd form. | drfrostmaths.com/explorer.php?ssid=1673 | https://www.youtube.com/embed/wh_hKbKYUaY | |

339c | Secondary | Use Pythagoras' theorem with sides which are surd terms. | drfrostmaths.com/explorer.php?ssid=5568 | ||

339d | Secondary | Use Pythagoras' theorem with sides which are surd expressions. | drfrostmaths.com/explorer.php?ssid=1999 | ||

339e | Secondary | Determine the perimeter of a composite shape in surd form, where a missing side is found by use of Pythagoras' theorem. | drfrostmaths.com/explorer.php?ssid=5569 | ||

339f | Secondary | Determine the area of a composite shape in surd form, where a missing side is found by use of Pythagoras' theorem. | drfrostmaths.com/explorer.php?ssid=5570 | ||

340 | Secondary | Exam Practice: Solving linear inequalities in one variable | drfrostmaths.com/explorer.php?ssid=85 | https://www.youtube.com/embed/h20HXgEgUq0 | E340 |

340a | Secondary | Solve a linear inequality in one variable with one step. | drfrostmaths.com/explorer.php?ssid=1605 | https://www.youtube.com/embed/vAlrKVT3dYM | |

340b | Secondary | Solve a linear inequality in one variable with two steps. | drfrostmaths.com/explorer.php?ssid=1122 | https://www.youtube.com/embed/WT8sdeti_wI | K343 |

340c | Secondary | Solve a linear inequality in one variable involving fractions. | drfrostmaths.com/explorer.php?ssid=5571 | ||

340d | Secondary | Solve a linear inequality in one variable where the coefficient of x is negative. | drfrostmaths.com/explorer.php?ssid=1468 | K344 | |

340e | Secondary | Determine the greatest or least integer which satisfies a linear inequality in one variable. | drfrostmaths.com/explorer.php?ssid=5572 | ||

340f | Secondary | Solve and represent the solution of a one-ended linear inequality in one variable on a number line. | drfrostmaths.com/explorer.php?ssid=5573 | ||

340g | Secondary | Solve and represent the solution of a linear inequality in one variable, with solutions in a given infinite number set. | drfrostmaths.com/explorer.php?ssid=5574 | ||

341 | Secondary | Exam Practice: Solving linear inequalities with one variable on both sides | drfrostmaths.com/explorer.php?ssid=4286 | E341 | |

341a | Secondary | Solve a linear inequality with the unknown on both sides. | drfrostmaths.com/explorer.php?ssid=1247 | https://www.youtube.com/embed/UWl8oZvuF7g | K345 |

341b | Secondary | Solve a linear inequality with brackets and the unknown on both sides. | drfrostmaths.com/explorer.php?ssid=1802 | ||

342 | Secondary | Exam Practice: Solving two-ended linear inequalities | drfrostmaths.com/explorer.php?ssid=4287 | E342 | |

342a | Secondary | Solve a two-ended linear inequality in one variable with a single step. | drfrostmaths.com/explorer.php?ssid=1245 | https://www.youtube.com/embed/WL8lKEb_WiY | K346 |

342b | Secondary | Solve a two-ended linear inequality in one variable with two steps. | drfrostmaths.com/explorer.php?ssid=1246 | https://www.youtube.com/embed/y_RVu9_ExLE | K347 |

342c | Secondary | Solve a two-ended linear inequality in one variable involving fractions. | drfrostmaths.com/explorer.php?ssid=5575 | ||

342d | Secondary | Solve a two-ended linear inequality in one variable and list the integer values which satisfy it. | drfrostmaths.com/explorer.php?ssid=5576 | ||

342e | Secondary | Solve a two-ended linear inequality in one variable which requires splitting. | drfrostmaths.com/explorer.php?ssid=5577 | ||

342f | Secondary | Solve and represent the solution of a two-ended linear inequality in one variable on a number line. | drfrostmaths.com/explorer.php?ssid=5578 | ||

342g | Secondary | Solve a pair of linear inequalities in one variable and state the integer values that satisfy both. | drfrostmaths.com/explorer.php?ssid=5579 | ||

343 | Secondary | Exam Practice: Forming and solving linear inequalities from a given context | drfrostmaths.com/explorer.php?ssid=4288 | E343 | |

343a | Secondary | Form and solve a one-ended linear inequality in one variable. | drfrostmaths.com/explorer.php?ssid=5580 | ||

343b | Secondary | Consider possible solutions to a one-ended linear inequality from two variables, given information about one or both variables. | drfrostmaths.com/explorer.php?ssid=5581 | ||

343c | Secondary | Form and solve a two-ended linear inequality in one variable. | drfrostmaths.com/explorer.php?ssid=5582 | ||

344 | Secondary | Exam Practice: Inequalities for expressions given a restricted domain on the variables | drfrostmaths.com/explorer.php?ssid=4289 | E344 | |

344a | Secondary | Determine the set of values satisfying a linear inequality of a variable, given a restricted domain. | drfrostmaths.com/explorer.php?ssid=5583 | ||

344b | Secondary | Determine the set of values satisfying a linear inequality of a function of a variable, given a restricted domain. | drfrostmaths.com/explorer.php?ssid=5584 | ||

344c | Secondary | Determine the set of values satisfying a linear inequality involving two unknowns and two restricted domains. | drfrostmaths.com/explorer.php?ssid=5585 | ||

344d | Secondary | Determine the set of values satisfying a linear inequality involving a function of two unknowns and two restricted domains. | drfrostmaths.com/explorer.php?ssid=5586 | ||

345 | Secondary | Exam Practice: Types of data | drfrostmaths.com/explorer.php?ssid=4290 | E345 | |

345a | Secondary | Classify data as qualitative or quantitative. | drfrostmaths.com/explorer.php?ssid=5587 | ||

345b | Secondary | Classify quantitative data as discrete or continuous. | drfrostmaths.com/explorer.php?ssid=2214 | ||

345c | Secondary | Classify data as categorical, ordinal, bivariate or multivariate. | drfrostmaths.com/explorer.php?ssid=5588 | ||

345d | Secondary | Classify data as primary or secondary. | drfrostmaths.com/explorer.php?ssid=5589 | ||

345e | Secondary | Understand the advantages and disadvantages of using primary and secondary data. | drfrostmaths.com/explorer.php?ssid=5590 | ||

346 | Secondary, A Level | Exam Practice: Populations and censuses versus sampling | drfrostmaths.com/explorer.php?ssid=4291 | E346 | |

346a | A Level, Secondary | Understand the difference between a census and a sample. | drfrostmaths.com/explorer.php?ssid=5591 | ||

346b | A Level, Secondary | Identify the population and sampling frame. | drfrostmaths.com/explorer.php?ssid=5592 | ||

347 | Secondary | Exam Practice: Data collection methods (excluding experiments) | drfrostmaths.com/explorer.php?ssid=333 | E347 | |

347a | Secondary | Identify a described data collection method. | drfrostmaths.com/explorer.php?ssid=5593 | ||

347b | Secondary | Create or critique a data collection sheet. | drfrostmaths.com/explorer.php?ssid=5594 | ||

347c | Secondary | Understand question types that are used in questionnaires and when they are appropriate. | drfrostmaths.com/explorer.php?ssid=5595 | ||

347d | Secondary | Critique questionnaire questions. | drfrostmaths.com/explorer.php?ssid=2215 | ||

347e | Secondary | Write a suitable questionnaire question. | drfrostmaths.com/explorer.php?ssid=2216 | ||

347f | Secondary | Know the advantages and disadvantages of using interviews or anonymous questionnaires. | drfrostmaths.com/explorer.php?ssid=5596 | ||

347g | Secondary | Understand the need for a pilot study or survey. | drfrostmaths.com/explorer.php?ssid=5597 | ||

348 | Secondary | Exam Practice: Statistical experiments | drfrostmaths.com/explorer.php?ssid=4292 | E348 | |

348a | Secondary | Identify the explanatory and response variable in an investigation. | drfrostmaths.com/explorer.php?ssid=5598 | ||

348b | Secondary | Identify the type of experiment conducted from a description. | drfrostmaths.com/explorer.php?ssid=5599 | ||

348c | Secondary | Understand the advantages and disadvantages of different types of experiment. | drfrostmaths.com/explorer.php?ssid=5600 | ||

348d | Secondary | Understand the importance of identifying and controlling extraneous variables. | drfrostmaths.com/explorer.php?ssid=5601 | ||

348e | Secondary | Use control groups and matched pairs. | drfrostmaths.com/explorer.php?ssid=5602 | ||

348f | Secondary | Understand the importance of blind and double blind trials. | drfrostmaths.com/explorer.php?ssid=5603 | ||

348g | Secondary | Use completely random and randomised block designs. | drfrostmaths.com/explorer.php?ssid=8262 | ||

349 | Secondary, A Level | Exam Practice: Simple random sampling | drfrostmaths.com/explorer.php?ssid=4293 | E349 | |

349a | Secondary, A Level | Define random and biased samples. | drfrostmaths.com/explorer.php?ssid=5604 | ||

349b | Secondary, A Level | Describe how to take a random sample. | drfrostmaths.com/explorer.php?ssid=5605 | ||

349c | Secondary, A Level | Complete a random sample of the sampling frame using a random number table or random number generator. | drfrostmaths.com/explorer.php?ssid=5606 | ||

350 | Secondary | Exam Practice: Non-random sampling | drfrostmaths.com/explorer.php?ssid=4294 | E350 | |

350a | Secondary | Identify a described non-random sampling method. | drfrostmaths.com/explorer.php?ssid=5607 | ||

350b | Secondary | Understand the advantages and disadvantages of non-random sampling methods. | drfrostmaths.com/explorer.php?ssid=5608 | ||

350c | Secondary | Discuss the suitability of a given sampling method. | drfrostmaths.com/explorer.php?ssid=5609 | ||

351 | A Level, Secondary | Exam Practice: Stratified sampling | drfrostmaths.com/explorer.php?ssid=334 | E351 | |

351a | A Level, Secondary | Take a stratified sample by one category. | drfrostmaths.com/explorer.php?ssid=1137 | https://www.youtube.com/embed/cxlNHItH5UI | K271 |

351b | Secondary, A Level | Take a stratified sample by more than one category. | drfrostmaths.com/explorer.php?ssid=5610 | ||

351c | Secondary, A Level | Understand when taking a stratified sample is appropriate. | drfrostmaths.com/explorer.php?ssid=5611 | ||

352 | Secondary | Exam Practice: Capture-Recapture | drfrostmaths.com/explorer.php?ssid=4295 | E352 | |

352a | Secondary | Use the capture-recapture method to estimate the size of a population. | drfrostmaths.com/explorer.php?ssid=1309 | https://www.youtube.com/embed/BlanMLOCazQ | K272 |

352b | Secondary | Understand the assumptions made in the Petersen capture-recapture method. | drfrostmaths.com/explorer.php?ssid=5612 | ||

353 | Secondary | Exam Practice: Planning a statistical enquiry | drfrostmaths.com/explorer.php?ssid=4296 | E353 | |

353a | Secondary | Write a hypothesis for an investigation. | drfrostmaths.com/explorer.php?ssid=5613 | ||

353b | Secondary | Describe the data needed to investigate a hypothesis. | drfrostmaths.com/explorer.php?ssid=5614 | ||

353c | Secondary | Understand constraints on designing an investigation. | drfrostmaths.com/explorer.php?ssid=5615 | ||

353d | Secondary | Understand the difference between raw and processed data. | drfrostmaths.com/explorer.php?ssid=5616 | ||

353e | Secondary | Justify the size of data groups when grouping data. | drfrostmaths.com/explorer.php?ssid=5617 | ||

353f | Secondary | Know how to deal with problems in the data including data cleaning. | drfrostmaths.com/explorer.php?ssid=5618 | ||

353g | Secondary | Suggest suitable data summaries or representations to be used in an investigation. | drfrostmaths.com/explorer.php?ssid=5619 | ||

353h | Secondary | Evaluate a plan for a statistical enquiry. | drfrostmaths.com/explorer.php?ssid=5620 | ||

354 | Secondary, A Level | Exam Practice: Probability of independent and successive independent events (including tree diagrams) | drfrostmaths.com/explorer.php?ssid=347 | https://www.youtube.com/embed/yJva4ph-KEE | E354 |

354 | Exam Practice: Knowledge of the Edexcel large data set. | drfrostmaths.com/explorer.php?ssid=439 | E354 | ||

354a | Secondary, A Level | Draw a tree diagram to represent successive independent events. | drfrostmaths.com/explorer.php?ssid=861 | https://www.youtube.com/embed/aqZwLt7iUBY | K562 |

354b | Secondary, A Level | Deal with a single chain of outcomes involving successive independent events, using a tree diagram. | drfrostmaths.com/explorer.php?ssid=863 | https://www.youtube.com/embed/KIDSG4W6IFI | K563 |

354c | A Level, Secondary | Deal with a single chain of outcomes involving successive independent events, without using a tree diagram. | drfrostmaths.com/explorer.php?ssid=5621 | ||

354d | Secondary, A Level | Deal with multiple different chains of outcomes involving successive independent events, using a tree diagram. | drfrostmaths.com/explorer.php?ssid=864 | https://www.youtube.com/embed/MT2nJf01-YM | K564 |

354e | Secondary, A Level | Deal with multiple different chains of outcomes involving successive independent events, without using a tree diagram. | drfrostmaths.com/explorer.php?ssid=5622 | ||

354f | Secondary, A Level | Determine the probability of achieving a given sum from multiple values, with item replacement. | drfrostmaths.com/explorer.php?ssid=5623 | ||

354g | Secondary, A Level | Determine the probability of a first success occurring after a certain number of trials. | drfrostmaths.com/explorer.php?ssid=5624 | ||

354h | Secondary, A Level | Determine the probability of a chain of outcomes given the probability of another chain of outcomes. | drfrostmaths.com/explorer.php?ssid=5625 | ||

354i | A Level, Secondary | Determine the probability of at least one occurrence of an event given a larger number of trials. | drfrostmaths.com/explorer.php?ssid=5626 | ||

354j | Secondary, A Level | Determine the probability of succeeding within a fixed number of trials. | drfrostmaths.com/explorer.php?ssid=5627 | ||

354k | Secondary, A Level | Determine the probability of reaching a point via a random route on a grid. | drfrostmaths.com/explorer.php?ssid=5628 | ||

355 | A Level, Secondary | Exam Practice: Successive dependent events, i.e. sampling without replacement (including tree diagrams) | drfrostmaths.com/explorer.php?ssid=349 | https://www.youtube.com/embed/UMKClPTcOzo | E355 |

355a | A Level, Secondary | Draw a tree diagram to represent successive dependent events. | drfrostmaths.com/explorer.php?ssid=862 | https://www.youtube.com/embed/D50XkefUMFs | K565 |

355b | Secondary, A Level | Deal with a single chain of outcomes involving successive dependent events. | drfrostmaths.com/explorer.php?ssid=865 | https://www.youtube.com/embed/u8lbulZL7Ls | K566 |

355c | A Level, Secondary | Deal with multiple different chains of outcomes involving successive dependent events. | drfrostmaths.com/explorer.php?ssid=866 | https://www.youtube.com/embed/0tr0NuPj39E | K567 |

355d | Secondary, A Level | Deal with three or more chains of outcomes involving successive dependent events. | drfrostmaths.com/explorer.php?ssid=5629 | ||

355e | Secondary, A Level | Determine the probability of achieving a given sum from multiple values, without item replacement. | drfrostmaths.com/explorer.php?ssid=5630 | ||

355f | A Level, Secondary | Determine the probability of successive events by grouping outcomes (e.g. into odd and even). | drfrostmaths.com/explorer.php?ssid=1687 | https://www.youtube.com/embed/quUtSdw-em8 | |

356 | Secondary, A Level | Exam Practice: Probabilities from Venn diagrams (no set notation) | drfrostmaths.com/explorer.php?ssid=303 | E356 | |

356a | A Level, Secondary | Calculate probabilities of mutually exclusive events from given probabilities. | drfrostmaths.com/explorer.php?ssid=1233 | K845 | |

356b | Secondary, A Level | Calculate probabilities using a Venn diagram with two non-mutually exclusive sets. | drfrostmaths.com/explorer.php?ssid=1538 | K734 | |

356c | Secondary, A Level | Calculate probabilities using a Venn diagram with three non-mutually exclusive sets. | drfrostmaths.com/explorer.php?ssid=1539 | K735 | |

356d | A Level, Secondary | Calculate probabilities by drawing a Venn diagram with two non-mutually exclusive sets. | drfrostmaths.com/explorer.php?ssid=1342 | https://www.youtube.com/embed/-88kdSHqXQU | K568 |

356e | Secondary, A Level | Calculate probabilities by drawing a Venn diagram with three non-mutually exclusive sets. | drfrostmaths.com/explorer.php?ssid=1344 | K569 | |

356f | A Level, Secondary | Determine a probability where the selection is made from a subgroup of a Venn diagram. | drfrostmaths.com/explorer.php?ssid=5631 | ||

357 | A Level, Secondary | Exam Practice: Probabilities from Venn diagrams using set notation | drfrostmaths.com/explorer.php?ssid=4297 | E357 | |

357a | A Level, Secondary | Use set notation to calculate probabilities of mutually exclusive events from a Venn diagram filled with frequencies. | drfrostmaths.com/explorer.php?ssid=5632 | ||

357b | Secondary, A Level | Use set notation to calculate probabilities of non-mutually exclusive events from a Venn diagram filled with frequencies. | drfrostmaths.com/explorer.php?ssid=1134 | https://www.youtube.com/embed/7zaJTqVeDO4 | K468 |

357c | A Level, Secondary | Use set notation to calculate probabilities of non-mutually exclusive events from a Venn filled with elements. | drfrostmaths.com/explorer.php?ssid=1632 | ||

358 | Secondary, A Level | Exam Practice: Conditional probability (no set notation) | drfrostmaths.com/explorer.php?ssid=304 | E358 | |

358a | Secondary, A Level | Determine a conditional probability from a two-way table. | drfrostmaths.com/explorer.php?ssid=5633 | ||

358b | Secondary, A Level | Determine a conditional probability from a frequency tree. | drfrostmaths.com/explorer.php?ssid=5634 | ||

358c | Secondary, A Level | Determine a conditional probability from a probability tree. | drfrostmaths.com/explorer.php?ssid=5635 | ||

358d | A Level, Secondary | Determine a conditional probability from a Venn diagram filled with frequencies. | drfrostmaths.com/explorer.php?ssid=5636 | ||

358e | Secondary, A Level | Determine a conditional probability from a Venn diagram filled with elements. | drfrostmaths.com/explorer.php?ssid=5637 | ||

359 | A Level, Secondary | Exam Practice: Expressing a power using a different base | drfrostmaths.com/explorer.php?ssid=59 | https://www.youtube.com/embed/84dobFhaHJc | E359 |

359a | A Level, Secondary | Express a power using a different base. | drfrostmaths.com/explorer.php?ssid=1726 | ||

359b | A Level, Secondary | Use change of base to form a linear formula. | drfrostmaths.com/explorer.php?ssid=1188 | https://www.youtube.com/embed/oENEM7aB_FE | K767 |

359c | A Level, Secondary | Write the product of powers in the form a^b by changing the base. | drfrostmaths.com/explorer.php?ssid=1522 | K721 | |

359d | A Level, Secondary | DELETED DECOMMISIONED - Determine an unknown power e.g. 2^y = \frac{1}{8}. | drfrostmaths.com/explorer.php?ssid=823 | https://www.youtube.com/embed/_1RvkjNb5VM | K438 |

359d | Secondary, A Level | Solve equations involving powers of the same base, leading to a linear equation. | drfrostmaths.com/explorer.php?ssid=1511 | K713 | |

359e | Secondary, A Level | Deal with equations involving powers of the same base to change the subject of the formula. | drfrostmaths.com/explorer.php?ssid=5638 | ||

360 | Secondary | Exam Practice: Calculating values after compound percentage changes | drfrostmaths.com/explorer.php?ssid=54 | https://www.youtube.com/embed/ldGnUUnEnAA | E360 |

360a | Secondary | Understand the difference between simple and compound interest. | drfrostmaths.com/explorer.php?ssid=5639 | ||

360b | Secondary | Calculate a value after a compound percentage increase. | drfrostmaths.com/explorer.php?ssid=884 | https://www.youtube.com/embed/tIlKzp8LwdQ | K427 |

360c | Secondary | Calculate a value after a compound percentage decrease. | drfrostmaths.com/explorer.php?ssid=885 | https://www.youtube.com/embed/mY5ND_KZviY | K428 |

360d | Secondary | Calculate a value after several compound percentage changes. | drfrostmaths.com/explorer.php?ssid=1773 | ||

360e | Secondary | Determine a percentage change to subsequently determine further compound changes. | drfrostmaths.com/explorer.php?ssid=5640 | ||

360f | Secondary | Compare the performance of different bank accounts. | drfrostmaths.com/explorer.php?ssid=5641 | ||

360g | Secondary | Calculate a percentage simple interest equivalent to a compound interest rate. | drfrostmaths.com/explorer.php?ssid=5642 | ||

360h | Secondary | Calculate the percentage interest in one year given a compound change in the others. | drfrostmaths.com/explorer.php?ssid=5643 | ||

361 | Secondary | Exam Practice: Financial maths (excluding compound interest) | drfrostmaths.com/explorer.php?ssid=4298 | E361 | |

361a | Secondary | Complete a bank statement. | drfrostmaths.com/explorer.php?ssid=1537 | K733 | |

361b | Secondary | Solve problems involving wages and a salaries, including commission. | drfrostmaths.com/explorer.php?ssid=5644 | ||

361c | Secondary | Solve problems involving budgeting. | drfrostmaths.com/explorer.php?ssid=5645 | ||

361d | Secondary | Calculate profit margin and mark up. | drfrostmaths.com/explorer.php?ssid=5646 | ||

361e | Secondary | Solve problems involving VAT. | drfrostmaths.com/explorer.php?ssid=5647 | ||

361f | Secondary | Solve problems with an upfront fee and regular payments thereafter. | drfrostmaths.com/explorer.php?ssid=5648 | ||

361g | Secondary | Complete calculation of income tax, including different tax bands. | drfrostmaths.com/explorer.php?ssid=5649 | ||

361h | Secondary | Calculate net pay after tax and other deductions. | drfrostmaths.com/explorer.php?ssid=5650 | ||

361i | Secondary | Determine the percentage change a number of compound changes represents, including Annual Equivalent Rate (AER) and Annual Percentage Rate (APR). | drfrostmaths.com/explorer.php?ssid=5651 | ||

361j | Secondary | Complete calculations involving student loans interest and repayments. | drfrostmaths.com/explorer.php?ssid=5652 | ||

361k | Secondary | Complete calculations involving mortgages. | drfrostmaths.com/explorer.php?ssid=5653 | ||

361l | Secondary | Interpret a demand curve showing the relationship between price and demand. | drfrostmaths.com/explorer.php?ssid=5654 | ||

362 | Secondary | Exam Practice: Compound percentage problems with unknown period or step percentage change | drfrostmaths.com/explorer.php?ssid=510 | https://www.youtube.com/embed/ldGnUUnEnAA | E362 |

362a | Secondary | Determine the number of years before a value increases to a given value given some known compound percentage increase. | drfrostmaths.com/explorer.php?ssid=887 | https://www.youtube.com/embed/4dicXO70m5Y | K429 |

362b | Secondary | Determine the number of years before a value increases to some multiple given some known compound percentage increase. | drfrostmaths.com/explorer.php?ssid=886 | https://www.youtube.com/embed/kYXvKSB7_5s | K430 |

362c | Secondary | Determine the value before a compound percentage change. | drfrostmaths.com/explorer.php?ssid=1648 | ||

362d | Secondary | Determine the value of the percentage during a compound percentage change. | drfrostmaths.com/explorer.php?ssid=1649 | ||

362e | Secondary | Determine each percentage change given a compound change and the start and end amounts. | drfrostmaths.com/explorer.php?ssid=1449 | K431 | |

363 | Secondary | Exam Practice: Factorising quadratic expressions given in the form x^2 + bx + c | drfrostmaths.com/explorer.php?ssid=72 | https://www.youtube.com/embed/5p79yczPWQc | E363 |

363a | Secondary | Factorise quadratic expressions given in the form x^2 +bx + c | drfrostmaths.com/explorer.php?ssid=684 | https://www.youtube.com/embed/hUXIuTZOA_A | K381 |

363b | Secondary | Factorise quadratic expressions given in the form x^2 - bx + c | drfrostmaths.com/explorer.php?ssid=687 | https://www.youtube.com/embed/KWeNyNrsqnk | K382 |

363c | Secondary | Factorise quadratic expressions given in the form x^2 +bx - c | drfrostmaths.com/explorer.php?ssid=688 | https://www.youtube.com/embed/KREQdp3H0gI | K383 |

363d | Secondary | Factorise quadratic expressions given in the form x^2 - bx - c | drfrostmaths.com/explorer.php?ssid=690 | https://www.youtube.com/embed/GS4HHkTOl8k | K384 |

363e | Secondary | Prove that two expressions are equivalent (involving quadratic factorisation). | drfrostmaths.com/explorer.php?ssid=5655 | ||

364 | Secondary | Exam Practice: Factorising the difference of two squares | drfrostmaths.com/explorer.php?ssid=74 | https://www.youtube.com/embed/S3JXkf5X97Y | E364 |

364a | Secondary | Factorise the difference of two squares given in the form x^2 - a^2 or a^2 - x^2 | drfrostmaths.com/explorer.php?ssid=691 | https://www.youtube.com/embed/kn-pFoJCOMs | K385 |

364b | Secondary | Factorise the difference of two squares given in the form kx^2-a^2, where k is a square number. | drfrostmaths.com/explorer.php?ssid=1059 | https://www.youtube.com/embed/07rQrhjWOOs | K764 |

364c | Secondary | Factorise the difference of two squares given in the form ax^2-by^2, where a and b are square numbers. | drfrostmaths.com/explorer.php?ssid=2195 | ||

364d | Secondary | Factorise the difference of two squares given in the form ax^2-by^2, where a and b have a common numeric factor. | drfrostmaths.com/explorer.php?ssid=1428 | https://www.youtube.com/embed/TxmA8VJY0EQ | K386 |

364e | Secondary | Factorise the difference of two squares given in the form axy^2-bxz^2, where a and b may have a common numeric factor. | drfrostmaths.com/explorer.php?ssid=8291 | ||

364f | Secondary | Factorise the difference of two squares given in the form ay^n x^2-by^n z^2, where a and b may have a common numeric factor. | drfrostmaths.com/explorer.php?ssid=8292 | ||

364g | Secondary | Factorise the difference of two squares to evaluate a numerical calculation. | drfrostmaths.com/explorer.php?ssid=1713 | https://www.youtube.com/embed/Oom4r1hzZ6Q | |

365 | Secondary | Exam Practice: Factorising a quadratic where the coefficient of the x^2 term is not 1 | drfrostmaths.com/explorer.php?ssid=73 | https://www.youtube.com/embed/cbbEFYpeWV8 | E365 |

365a | Secondary | Factorise quadratic expressions given in the form ax^2 +bx+c | drfrostmaths.com/explorer.php?ssid=738 | https://www.youtube.com/embed/eB6J9k-_4Dc | K387 |

365b | Secondary | Factorise quadratic expressions given in the form ax^2-bx+c | drfrostmaths.com/explorer.php?ssid=1637 | https://www.youtube.com/embed/dQ67DuZyaGs | |

365c | Secondary | Factorise quadratic expressions given in the form ax^2 + bx - c | drfrostmaths.com/explorer.php?ssid=2197 | ||

365d | Secondary | Factorise quadratic expressions given in the form ax^2 -bx - c | drfrostmaths.com/explorer.php?ssid=1638 | https://www.youtube.com/embed/7re9jKGsnG4 | |

365e | Secondary | Factorise quadratic expressions given in the form ax^2 \pm bx \pm c where a, b and c share a common factor. | drfrostmaths.com/explorer.php?ssid=2334 | ||

365f | Secondary | Factorise quadratic expressions requiring rearrangement to the form ax^2 \pm bx \pm c | drfrostmaths.com/explorer.php?ssid=2374 | ||

365g | Secondary | Factorise quadratic expressions given in the form -x^2 \pm bx \pm c | drfrostmaths.com/explorer.php?ssid=8295 | ||

365h | Secondary | Factorise quadratic expressions given in the form ax^2 \pm bx \pm c with a < -1 | drfrostmaths.com/explorer.php?ssid=8296 | ||

366 | Secondary | Exam Practice: Factorising more difficult expressions by combining factorisation techniques or substitution of a variable | drfrostmaths.com/explorer.php?ssid=75 | E366 | |

366a | Secondary | Use pairwise factorisation to write an expression as the product of two brackets. | drfrostmaths.com/explorer.php?ssid=1628 | ||

366b | Secondary | DELETED Fully factorise a quadratic of the form ax^2+bx+c requiring to take out a common factor first. | drfrostmaths.com/explorer.php?ssid=1060 | K765 | |

366b | Secondary | Factorise quadratic expressions given in the form ax^2 \pm bxy \pm cy^2 | drfrostmaths.com/explorer.php?ssid=2068 | https://www.youtube.com/embed/VurHv4v0_80 | |

366c | Secondary | Factorise expressions including some factorised and expanded parts where factorisation can be used to find a common bracketed factor. | drfrostmaths.com/explorer.php?ssid=5656 | ||

366d | Secondary | Factorise and simplify a difference of two squared binomials. | drfrostmaths.com/explorer.php?ssid=5657 | ||

366e | Secondary | Factorise a cubic expression by first taking out a common factor. | drfrostmaths.com/explorer.php?ssid=5658 | ||

366f | Secondary | Factorise a cubic expression by equating coefficients when given one factor. | drfrostmaths.com/explorer.php?ssid=8297 | ||

366g | Secondary | Factorise a quartic expression using the difference of two squares. | drfrostmaths.com/explorer.php?ssid=5659 | ||

366h | Secondary | Factorise an expression using the substitution of a linear term to reduce to quadratic form. | drfrostmaths.com/explorer.php?ssid=1521 | https://www.youtube.com/embed/aKP-foQjYlo | K720 |

366i | Secondary | Factorise an expression using the substitution of a higher power to reduce to quadratic form. | drfrostmaths.com/explorer.php?ssid=5660 | ||

367 | Secondary | Exam Practice: Plotting quadratic graphs from a table of values | drfrostmaths.com/explorer.php?ssid=96 | https://www.youtube.com/embed/ciRxmAHvYH0 | E367 |

367 | Exam Practice: Forces on connected particles in equilibrium, not on an inclined plane, no F = μR. | drfrostmaths.com/explorer.php?ssid=525 | E367 | ||

367a | Secondary | Determine whether a point lies on a curve given a quadratic equation. | drfrostmaths.com/explorer.php?ssid=8324 | ||

367b | Secondary | Complete a table of values for a quadratic graph with x^2 coefficient of 1. | drfrostmaths.com/explorer.php?ssid=1034 | https://www.youtube.com/embed/hS4VxPH9unE | K414 |

367c | Secondary | Complete a table of values for a quadratic graph with positive integer coefficient of x^2 | drfrostmaths.com/explorer.php?ssid=5661 | ||

367d | Secondary | Complete a table of values for a quadratic graph with negative integer coefficient of x^2 | drfrostmaths.com/explorer.php?ssid=5662 | ||

367e | Secondary | Complete a table of values for a quadratic graph with fractional coefficient of x^2 | drfrostmaths.com/explorer.php?ssid=5663 | ||

367f | Secondary | Plot a quadratic graph using a completed table of values. | drfrostmaths.com/explorer.php?ssid=5664 | ||

367g | Secondary | Complete a table of values and plot the corresponding quadratic graph. | drfrostmaths.com/explorer.php?ssid=1035 | https://www.youtube.com/embed/GfUwv6wPkMY | K415 |

368 | Secondary | Exam Practice: Solving quadratic equations by factorisation | drfrostmaths.com/explorer.php?ssid=16 | https://www.youtube.com/embed/Idk4R_baULA | E368 |

368a | Secondary | Solve quadratic equations given in the form (ax+b)(cx+d) = 0 | drfrostmaths.com/explorer.php?ssid=1642 | ||

368b | Secondary | Solve quadratic equations given in the form x^2 \pm bx \pm c = 0, solvable by factorisation. | drfrostmaths.com/explorer.php?ssid=769 | https://www.youtube.com/embed/dufVWiyZkN0 | K615 |

368c | Secondary | Solve quadratic equations given in the form x^2 \pm bx \pm c = 0, requiring rearrangement and factorising. | drfrostmaths.com/explorer.php?ssid=771 | K616 | |

368d | Secondary | Solve quadratic equations given in the form ax^2 \pm bx \pm c = 0, requiring factorising. | drfrostmaths.com/explorer.php?ssid=868 | K617 | |

368e | Secondary | Solve quadratic equations given in the form ax^2 \pm bx \pm c = 0, requiring rearrangement and factorising. | drfrostmaths.com/explorer.php?ssid=774 | https://www.youtube.com/embed/VLOv7xVTUiM | K618 |

368f | Secondary | Solve a quadratic equation of the form x^2-a^2=0 or x^2=a^2 by factorisation. | drfrostmaths.com/explorer.php?ssid=8317 | ||

368g | Secondary | Determine the original quadratic equation given its integer solutions. | drfrostmaths.com/explorer.php?ssid=5665 | ||

368h | Secondary | Determine the original quadratic equation given its non-integer solutions. | drfrostmaths.com/explorer.php?ssid=5666 | ||

369 | Secondary | Exam Practice: Quadratic graphs and their features | drfrostmaths.com/explorer.php?ssid=105 | https://www.youtube.com/embed/6KgAsvNSc4E | E369 |

369a | Secondary | Determine the y-intercept of a quadratic graph with equation given in the form y=x^2+bx+c | drfrostmaths.com/explorer.php?ssid=1140 | https://www.youtube.com/embed/1J4ERQ_eyvg | K421 |

369b | Secondary | Determine the x-intercepts of a quadratic graph with equation given in the form y=x^2+bx+c | drfrostmaths.com/explorer.php?ssid=1141 | https://www.youtube.com/embed/sJWupCI0Eww | K422 |

369c | Secondary | Determine the y-intercept of a quadratic graph with equation given in the form y=(x+a)(x+b) | drfrostmaths.com/explorer.php?ssid=5667 | ||

369d | Secondary | Determine the x-intercepts of a quadratic graph with equation given in the form y=(x+a)(x+b) | drfrostmaths.com/explorer.php?ssid=5668 | ||

369e | Secondary | Determine the x- and y-intercepts of a quadratic graph with equation given in the form y=ax^2+bx+c | drfrostmaths.com/explorer.php?ssid=1142 | https://www.youtube.com/embed/2_EeanA80BU | K423 |

369f | Secondary | Determine the x- and y-intercepts of a quadratic graph with equation given in the form y=(ax+b)(cx-d) | drfrostmaths.com/explorer.php?ssid=5669 | ||

369g | Secondary | Sketch a quadratic graph given in the form y=(x+a)(x+b), including its intercepts only. | drfrostmaths.com/explorer.php?ssid=1772 | ||

369h | Secondary | Sketch a quadratic graph given in the form y=(ax+b)(cx+d), including its intercepts only. | drfrostmaths.com/explorer.php?ssid=5670 | ||

369i | Secondary | Sketch an unfactorised quadratic graph, with coefficient of x^2 equal to one, including its intercepts only. | drfrostmaths.com/explorer.php?ssid=1770 | ||

369j | Secondary | Sketch an unfactorised quadratic graph, with positive integer coefficient of x^2 other than one, including its intercepts only. | drfrostmaths.com/explorer.php?ssid=5671 | ||

369k | Secondary | Sketch quadratic graphs with a negative x^2 coefficient from factorised form, including its intercepts only. | drfrostmaths.com/explorer.php?ssid=5672 | ||

369l | Secondary | Sketch an unfactorised quadratic graph, with negative integer coefficient of x^2 other than one, including its intercepts only. | drfrostmaths.com/explorer.php?ssid=5673 | ||

369m | Secondary | Sketch a quadratic graph given in the form y = x^2 + a or y = a - x^2, including intercepts only. | drfrostmaths.com/explorer.php?ssid=5674 | ||

369n | Secondary | Identify a sketch of a quadratic graph given its equation. | drfrostmaths.com/explorer.php?ssid=5675 | ||

369o | Secondary | Determine the line of symmetry of a quadratic graph. | drfrostmaths.com/explorer.php?ssid=1418 | https://www.youtube.com/embed/WCjWYMfQNmQ | K584 |

369p | Secondary | Determine the coordinate of the turning point of a quadratic using symmetry and a sketch of the graph. | drfrostmaths.com/explorer.php?ssid=5676 | ||

369q | Secondary | Determine the equation of a quadratic function from its graph. | drfrostmaths.com/explorer.php?ssid=950 | K769 | |

369r | Secondary | Determine an unknown constant in a quadratic function given a point on the curve and a sketch. | drfrostmaths.com/explorer.php?ssid=5677 | ||

370 | Secondary | Exam Practice: nth term formula for a quadratic sequence | drfrostmaths.com/explorer.php?ssid=79 | https://www.youtube.com/embed/vpnSZtct26s | E370 |

370a | Secondary | Determine the nth term formula of a quadratic sequence by comparison to n^2 | drfrostmaths.com/explorer.php?ssid=2117 | ||

370b | Secondary | Determine the nth term formula of a quadratic sequence in the form n^2+c | drfrostmaths.com/explorer.php?ssid=2123 | ||

370c | Secondary | Determine the nth term formula of a quadratic sequence in the form n^2 +bn for positive b | drfrostmaths.com/explorer.php?ssid=2124 | ||

370d | Secondary | Determine the nth term formula of a quadratic sequence in the form n^2 +bn for negative b | drfrostmaths.com/explorer.php?ssid=2133 | ||

370e | Secondary | Determine the nth term formula of a quadratic sequence in the form n^2+bn+c | drfrostmaths.com/explorer.php?ssid=2136 | ||

370f | Secondary | Determine the nth term formula of a quadratic sequence in the form an^2+c | drfrostmaths.com/explorer.php?ssid=1670 | ||

370g | Secondary | Determine the nth term formula of a quadratic sequence in the form an^2 +bn | drfrostmaths.com/explorer.php?ssid=1678 | ||

370h | Secondary | Determine the nth term formula of a quadratic sequence in the form an^2+bn+c | drfrostmaths.com/explorer.php?ssid=751 | https://www.youtube.com/embed/5Er_L4H1GSE | K406 |

370i | Secondary | Determine the nth term formula of a quadratic sequence in the form an^2+bn+c where a is negative | drfrostmaths.com/explorer.php?ssid=2113 | ||

370j | Secondary | Determine the coefficients of a quadratic nth term rule given information about the terms in the sequence. | drfrostmaths.com/explorer.php?ssid=2114 | ||

370k | Secondary | Determine the position of a term in a quadratic sequence. | drfrostmaths.com/explorer.php?ssid=2116 | ||

370l | Secondary | Use an existing formula for a quadratic sequence to determine the formula for a similar sequence. | drfrostmaths.com/explorer.php?ssid=2144 | ||

370m | Secondary | DELETED DECOMMISSIONED Determine the nth term formula of a quadratic sequence in the form an^2+bn+c where b is negative. | drfrostmaths.com/explorer.php?ssid=1775 | ||

371 | Secondary | Exam Practice: nth term formula for a geometric sequence | drfrostmaths.com/explorer.php?ssid=80 | E371 | |

371a | Secondary | Determine the nth term for a geometric sequence where first term and common ratio are distinct positive integers, both greater than one. | drfrostmaths.com/explorer.php?ssid=752 | https://www.youtube.com/embed/8idda0ZuU0w | K407 |

371b | Secondary | Determine the nth term for a geometric sequence where first term is one with a given positive integer as common ratio. | drfrostmaths.com/explorer.php?ssid=5678 | ||

371c | Secondary | Determine the nth term for a geometric sequence where first term and common ratio are equal, positive integers. | drfrostmaths.com/explorer.php?ssid=5679 | ||

371d | Secondary | Determine the nth term for a geometric sequence with a negative integer common ratio. | drfrostmaths.com/explorer.php?ssid=5680 | ||

371e | Secondary | Determine the nth term for a geometric sequence with a decimal or fractional common ratio. | drfrostmaths.com/explorer.php?ssid=5681 | ||

371f | Secondary | Determine the nth term of a geometric sequence where the common ratio is irrational. | drfrostmaths.com/explorer.php?ssid=5682 | ||

371g | Secondary | Determine the common ratio of a geometric sequence where the terms are expressed algebraically. | drfrostmaths.com/explorer.php?ssid=5683 | ||

372 | Secondary | Exam Practice: nth term formula more complicated sequences | drfrostmaths.com/explorer.php?ssid=4299 | E372 | |

372a | Secondary | Determine the nth term formula of a sequence, where the numerator and denominator are linear sequences to be found. | drfrostmaths.com/explorer.php?ssid=5684 | ||

372b | Secondary | Determine the nth term formula of a sequence, where at least one of the numerator or denominator is quadratic. | drfrostmaths.com/explorer.php?ssid=5685 | ||

372c | Secondary | Determine the nth term formula of a sequence where at least one of the numerator or denominator is geometric. | drfrostmaths.com/explorer.php?ssid=5686 | ||

372d | Secondary | Determine the nth term formula for a cubic sequence. | drfrostmaths.com/explorer.php?ssid=5687 | ||

373 | Secondary | Exam Practice: Column vector notation | drfrostmaths.com/explorer.php?ssid=4300 | E373 | |

373a | Secondary | Identify the vector associated with a movement. | drfrostmaths.com/explorer.php?ssid=5688 | ||

373b | Secondary | Identify the column vector from a given diagram. | drfrostmaths.com/explorer.php?ssid=5689 | ||

373c | Secondary | Draw a vector from a given column vector. | drfrostmaths.com/explorer.php?ssid=5690 | ||

374 | Secondary | Exam Practice: Adding, subtracting and scaling column vectors | drfrostmaths.com/explorer.php?ssid=157 | https://www.youtube.com/embed/mt_RdPIbLlw | E374 |

374a | Secondary | Multiply a column vector by a positive scalar. | drfrostmaths.com/explorer.php?ssid=5691 | ||

374b | Secondary | Draw a positive scalar multiple of a vector. | drfrostmaths.com/explorer.php?ssid=5692 | ||

374c | Secondary | Multiply a column vector by a negative scalar. | drfrostmaths.com/explorer.php?ssid=5693 | ||

374d | Secondary | Draw a negative scalar multiple of a vector. | drfrostmaths.com/explorer.php?ssid=5694 | ||

374e | Secondary | Add or subtract two vectors written in column vector form. | drfrostmaths.com/explorer.php?ssid=1056 | https://www.youtube.com/embed/CjtvHA2Cgdw | K649 |

374f | Secondary | Draw the addition or subtraction of two column vectors. | drfrostmaths.com/explorer.php?ssid=5695 | ||

374g | Secondary | Add or subtract scalar multiples of vectors. | drfrostmaths.com/explorer.php?ssid=1058 | https://www.youtube.com/embed/wtAXHkNCNyg | K651 |

374h | Secondary | Solve equations formed in vector notation. | drfrostmaths.com/explorer.php?ssid=5696 | ||

374i | Secondary | Solve linear simultaneous equations/systems of equations formed with vector notation. | drfrostmaths.com/explorer.php?ssid=5697 | ||

375 | Secondary | Exam Practice: Translations of shapes by a vector | drfrostmaths.com/explorer.php?ssid=8 | https://www.youtube.com/embed/EUdGPC3SJf4 | E375 |

375a | Secondary | Translate a shape horizontally or vertically using a vector. | drfrostmaths.com/explorer.php?ssid=5698 | ||

375b | Secondary | Translate a shape by a vector involving positive values. | drfrostmaths.com/explorer.php?ssid=5699 | ||

375c | Secondary | Translate a shape by any vector. | drfrostmaths.com/explorer.php?ssid=801 | https://www.youtube.com/embed/ZdJgVCH_WJc | K280 |

376 | Secondary | Exam Practice: Describing translations using vector notation | drfrostmaths.com/explorer.php?ssid=9 | https://www.youtube.com/embed/tgxpTTotBz0 | E376 |

376a | Secondary | Describe a translation in a horizontal or vertical direction using vector notation. | drfrostmaths.com/explorer.php?ssid=2173 | ||

376b | Secondary | Describe a translation using vector notation with positive numbers only. | drfrostmaths.com/explorer.php?ssid=2174 | ||

376c | Secondary | Describe any translation using vector notation. | drfrostmaths.com/explorer.php?ssid=849 | https://www.youtube.com/embed/BWWcg_IOG5E | K281 |

377 | Secondary | Exam Practice: Enlargement/dilation of shapes by a negative scale factor | drfrostmaths.com/explorer.php?ssid=4301 | E377 | |

377a | Secondary | Enlarge/dilate a shape by a negative scale factor. | drfrostmaths.com/explorer.php?ssid=804 | https://www.youtube.com/embed/K45RrS0NvTM | K493 |

377b | Secondary | Enlarge/dilate a shape by a negative and fractional scale factor. | drfrostmaths.com/explorer.php?ssid=1427 | https://www.youtube.com/embed/EPeLMNMX590 | K497 |

378 | Exam Practice: Increasing, decreasing and periodic sequences. | drfrostmaths.com/explorer.php?ssid=201 | E378 | ||

378 | Secondary | Exam Practice: Describing enlargements/dilations for a negative scale factor | drfrostmaths.com/explorer.php?ssid=4302 | E378 | |

378a | Secondary | Describe an enlargement/dilation with a negative scale factor. | drfrostmaths.com/explorer.php?ssid=860 | https://www.youtube.com/embed/QmvCjLPx7zE | K496 |

378b | Secondary | Describe an enlargement/dilation with a negative and fractional scale factor. | drfrostmaths.com/explorer.php?ssid=5700 | ||

379 | Secondary | Exam Practice: Combining transformations | drfrostmaths.com/explorer.php?ssid=4303 | E379 | |

379a | Secondary | Complete two transformations on a given shape. | drfrostmaths.com/explorer.php?ssid=5701 | ||

379b | Secondary | Describe the single transformation of a shape following two translations. | drfrostmaths.com/explorer.php?ssid=5702 | ||

379c | Secondary | Describe the single transformation of a shape following two rotations. | drfrostmaths.com/explorer.php?ssid=5703 | ||

379d | Secondary | Describe the single transformation of a shape following two horizontal and/or vertical reflections. | drfrostmaths.com/explorer.php?ssid=5704 | ||

379e | Secondary | Describe the single transformation of a shape following any two reflections. | drfrostmaths.com/explorer.php?ssid=5705 | ||

379f | Secondary | Describe the single transformation of a shape following a combination of two different transformations. | drfrostmaths.com/explorer.php?ssid=5706 | ||

380 | Secondary | Exam Practice: Invariant points | drfrostmaths.com/explorer.php?ssid=4304 | E380 | |

380a | Secondary | Give the coordinate of an invariant point for a given transformation. | drfrostmaths.com/explorer.php?ssid=5707 | ||

380b | Secondary | Give the coordinate of an invariant point for a given combination of transformations. | drfrostmaths.com/explorer.php?ssid=5708 | ||

380c | Secondary | Describe a transformation that would leave a given point invariant. | drfrostmaths.com/explorer.php?ssid=5709 | ||

381 | Secondary | Exam Practice: Listing all combinations | drfrostmaths.com/explorer.php?ssid=65 | https://www.youtube.com/embed/cLvrDx-30Jo | E381 |

381a | Secondary | List combinations of items from two groups. | drfrostmaths.com/explorer.php?ssid=5710 | ||

381b | Secondary | List all possible orderings of items. | drfrostmaths.com/explorer.php?ssid=5711 | ||

381c | Secondary | List all possible routes between two points in a graph. | drfrostmaths.com/explorer.php?ssid=5712 | ||

382 | Secondary | Exam Practice: Product rule for counting (Fundamental Counting Principle) | drfrostmaths.com/explorer.php?ssid=64 | https://www.youtube.com/embed/slevVi3goQk | E382 |

382a | Secondary | Determine the number of combinations when an item is taken from each group. | drfrostmaths.com/explorer.php?ssid=2159 | ||

382b | Secondary | Determine the number of combinations when an item is repeatedly taken from the same group, but with replacement. | drfrostmaths.com/explorer.php?ssid=2185 | ||

382c | Secondary | Use the number of combinations to determine the number of items in a group. | drfrostmaths.com/explorer.php?ssid=2187 | ||

382d | Secondary | Determine the number of combinations when multiple items are taken from the same group, where order matters. | drfrostmaths.com/explorer.php?ssid=2189 | ||

382e | Secondary | Determine the number of combinations when an item is taken from only some of the groups. | drfrostmaths.com/explorer.php?ssid=2190 | ||

382f | Secondary | Use the number of combinations to determine a probability or fraction. | drfrostmaths.com/explorer.php?ssid=2204 | ||

382g | Secondary | Determine the number of combinations when two items are taken from the same group, where order does not matter. | drfrostmaths.com/explorer.php?ssid=2209 | ||

382h | Secondary | Determine the number of combinations when multiple forms of a list are produced, with some items taken from the same group. | drfrostmaths.com/explorer.php?ssid=2208 | ||

382i | Secondary | Use the number of combinations from multiple forms of a list to determine a probability or fraction. | drfrostmaths.com/explorer.php?ssid=2271 | ||

382j | Secondary | DELETED DECOMMISSIONED - Use the product rule for counting. | drfrostmaths.com/explorer.php?ssid=1296 | https://www.youtube.com/embed/kv7OXIOuHn0 | K476 |

383 | Secondary | Exam Practice: Non-multiplicative approaches to counting, including case analysis | drfrostmaths.com/explorer.php?ssid=385 | E383 | |

383a | Secondary | Use listing strategies to find the number of combinations that result in a given property. | drfrostmaths.com/explorer.php?ssid=5713 | ||

383b | Secondary | Solve problems by use of case analysis. | drfrostmaths.com/explorer.php?ssid=5714 | ||

384 | Secondary | Exam Practice: Truncating a number to a given number of decimal places | drfrostmaths.com/explorer.php?ssid=383 | https://www.youtube.com/embed/P9NVIheNOdw | E384 |

384a | Secondary | Truncate a number to a given number of decimal places or to a whole number. | drfrostmaths.com/explorer.php?ssid=1396 | https://www.youtube.com/embed/OfTNgSg99_k | K457 |

384b | Secondary | Identify the error interval for a truncated number. | drfrostmaths.com/explorer.php?ssid=5715 | ||

385 | Secondary | Exam Practice: Using lower and upper bounds within calculations to calculate a further lower/upper bound | drfrostmaths.com/explorer.php?ssid=388 | https://www.youtube.com/embed/VqRVIEWAzQs | E385 |

385a | Secondary | Calculate a further bound for a given formula involving a multiplication. | drfrostmaths.com/explorer.php?ssid=1080 | https://www.youtube.com/embed/o9KGaTJMM-w | K460 |

385b | Secondary | Calculate a further bound for a given formula involving an addition. | drfrostmaths.com/explorer.php?ssid=1082 | https://www.youtube.com/embed/2OgeM3HwFA0 | K459 |

385c | Secondary | Calculate a further bound for a given formula involving a subtraction. | drfrostmaths.com/explorer.php?ssid=1083 | https://www.youtube.com/embed/891T3-gSXgY | K461 |

385d | Secondary | Calculate a further bound for a given formula involving a division. | drfrostmaths.com/explorer.php?ssid=1081 | https://www.youtube.com/embed/sN8gtyj-KcY | K462 |

385e | Secondary | Calculate a lower or upper bound for a speed, distance or time calculation. | drfrostmaths.com/explorer.php?ssid=5716 | ||

385f | Secondary | Calculate a further bound for a given formula involving multiple arithmetic operations. | drfrostmaths.com/explorer.php?ssid=1084 | https://www.youtube.com/embed/UkDv8UJL_L8 | K463 |

385g | Secondary | Calculate a further bound and specify the value to a suitable degree of accuracy. | drfrostmaths.com/explorer.php?ssid=1138 | https://www.youtube.com/embed/k0_I-LN60u4 | K464 |

386 | Secondary | Exam Practice: Tolerance | drfrostmaths.com/explorer.php?ssid=4305 | E386 | |

386a | Secondary | Write a minimum and maximum measurement in tolerance form. | drfrostmaths.com/explorer.php?ssid=5717 | ||

386b | Secondary | Write the tolerance form from a given context. | drfrostmaths.com/explorer.php?ssid=5718 | ||

386c | Secondary | Find the maximum and minimum from a tolerance written as a percentage. | drfrostmaths.com/explorer.php?ssid=5719 | ||

386d | Secondary | Write a tolerance from a given context when the tolerance is written as a percentage. | drfrostmaths.com/explorer.php?ssid=5720 | ||

386e | Secondary | Accumulate error (by addition or subtraction only). | drfrostmaths.com/explorer.php?ssid=5721 | ||

387 | Secondary | Exam Practice: Algebraic direct and inverse proportion | drfrostmaths.com/explorer.php?ssid=355 | https://www.youtube.com/embed/JVbNzRe0hKE | E387 |

387a | Secondary | Determine the formula connecting two variables which are directly proportional. | drfrostmaths.com/explorer.php?ssid=811 | https://www.youtube.com/embed/xk497iF8MGE | K472 |

387b | Secondary | Determine if a linear relationship is a proportional relationship. | drfrostmaths.com/explorer.php?ssid=5722 | ||

387c | Secondary | Determine the formula connecting two variables which are directly proportional involving powers/roots. | drfrostmaths.com/explorer.php?ssid=846 | K473 | |

387d | Secondary | Determine the formula connecting two variables which are inversely proportional. | drfrostmaths.com/explorer.php?ssid=812 | https://www.youtube.com/embed/qGfghjjASLQ | K474 |

387e | Secondary | Determine the formula connecting two variables which are inversely proportional involving powers/roots. | drfrostmaths.com/explorer.php?ssid=847 | K475 | |

387f | Secondary | Complete a table of values for a directly proportional relationship. | drfrostmaths.com/explorer.php?ssid=2272 | ||

387g | Secondary | Complete a table of values for an inversely proportional relationship. | drfrostmaths.com/explorer.php?ssid=5723 | ||

387h | Secondary | Decide on the proportional relationship between two variables given two pairs of values. | drfrostmaths.com/explorer.php?ssid=2282 | ||

387i | Secondary | Determine a formula to connect two proportional relationships with a common variable. | drfrostmaths.com/explorer.php?ssid=1610 | ||

387j | Secondary | Use the constant of proportionality for direct or inverse proportion involving a percentage change. | drfrostmaths.com/explorer.php?ssid=1510 | K975 | |

387k | Secondary | Determine a formula for a directly or inversely proportional relationship where the inputs are algebraic. | drfrostmaths.com/explorer.php?ssid=2297 | ||

387l | Secondary | Identify the correct proportionality relationship when a table of values is given. | drfrostmaths.com/explorer.php?ssid=5724 | ||

388 | Secondary | Exam Practice: Simplifying single algebraic fractions by cancelling common factors | drfrostmaths.com/explorer.php?ssid=356 | https://www.youtube.com/embed/RfFqb93M4U4 | E388 |

388a | Secondary | Simplify a factorised algebraic fraction. | drfrostmaths.com/explorer.php?ssid=1446 | https://www.youtube.com/embed/ZR7ItaSpe2I | K411 |

388b | Secondary | Simplify algebraic fractions where linear factorisation of one of the numerator or denominator is required. | drfrostmaths.com/explorer.php?ssid=1545 | https://www.youtube.com/embed/qwdOLaLI0is | K740 |

388c | Secondary | Simplify algebraic fractions where linear factorisation of both the numerator and denominator is required. | drfrostmaths.com/explorer.php?ssid=1546 | https://www.youtube.com/embed/R1nQV2lrRDU | K741 |

388d | Secondary | Simplify algebraic fractions where factorisation of one of the numerator or denominator is required. | drfrostmaths.com/explorer.php?ssid=1236 | https://www.youtube.com/embed/ZzS1hdihiOQ | K412 |

388e | Secondary | Simplify algebraic fractions where factorisation of both the numerator and denominator is required. | drfrostmaths.com/explorer.php?ssid=1237 | https://www.youtube.com/embed/1IfM07KM2wE | K413 |

388f | Secondary | Simplify algebraic fractions where factorisation of a non-monic quadratic expression is required. | drfrostmaths.com/explorer.php?ssid=5725 | ||

388g | Secondary | Simplify algebraic fractions where one factorised term is a negative of another. | drfrostmaths.com/explorer.php?ssid=5726 | ||

389 | Secondary | Exam Practice: Multiplying and dividing algebraic fractions | drfrostmaths.com/explorer.php?ssid=357 | https://www.youtube.com/embed/PMXJGwzW1AM | E389 |

389a | Secondary | Multiply algebraic fractions with single terms on the numerators and denominators. | drfrostmaths.com/explorer.php?ssid=1153 | https://www.youtube.com/embed/K-SqTkLDKcQ | K409 |

389b | Secondary | Divide algebraic fractions with single terms on the numerators and denominators. | drfrostmaths.com/explorer.php?ssid=1154 | https://www.youtube.com/embed/heW51yiqj6Y | K410 |

389c | Secondary | Multiply algebraic fractions requiring prior factorisation (excluding non-monic quadratic expressions). | drfrostmaths.com/explorer.php?ssid=1937 | https://www.youtube.com/embed/KyiaP456KoY | |

389d | Secondary | Divide algebraic fractions requiring prior factorisation (excluding non-monic quadratic expressions). | drfrostmaths.com/explorer.php?ssid=1942 | https://www.youtube.com/embed/cbcpd6IcCec | |

389e | Secondary | Multiply algebraic fractions requiring prior factorisation, including a non-monic quadratic expressions. | drfrostmaths.com/explorer.php?ssid=1943 | https://www.youtube.com/embed/Rb6YZGbbWbM | |

389f | Secondary | Divide algebraic fractions requiring prior factorisation, including a non-monic quadratic expressions. | drfrostmaths.com/explorer.php?ssid=1950 | https://www.youtube.com/embed/Z66n9s4F08s | |

390 | Secondary | Exam Practice: Adding and subtracting algebraic fractions (no factorisation of denominators required) | drfrostmaths.com/explorer.php?ssid=18 | https://www.youtube.com/embed/PQWQQRRpUlQ | E390 |

390a | Secondary | Add and subtract algebraic fractions with integer denominators. | drfrostmaths.com/explorer.php?ssid=1096 | https://www.youtube.com/embed/IJa8_uWgFvc | K408 |

390b | Secondary | Add or subtract algebraic fractions with algebraic denominators made of single terms. | drfrostmaths.com/explorer.php?ssid=1540 | https://www.youtube.com/embed/RzojiUG3jgA | K736 |

390c | Secondary | Add algebraic fractions with algebraic linear denominators. | drfrostmaths.com/explorer.php?ssid=1155 | https://www.youtube.com/embed/nA0KBAKTp7M | K605 |

390d | Secondary | Subtract algebraic fractions with algebraic linear denominators. | drfrostmaths.com/explorer.php?ssid=1244 | https://www.youtube.com/embed/uUYnGCrGD4Y | K606 |

390e | Secondary | Add or subtract a mixture of fractional and non-fractional terms. | drfrostmaths.com/explorer.php?ssid=1963 | https://www.youtube.com/embed/qZu2SOi7y6s | |

390f | Secondary | Add or subtract algebraic fractions with a factorised quadratic expression in one denominator. | drfrostmaths.com/explorer.php?ssid=1964 | https://www.youtube.com/embed/c2fr5lnyQmA | |

390g | Secondary | Combine multiplication or division of algebraic fractions with an addition or subtraction. | drfrostmaths.com/explorer.php?ssid=1620 | https://www.youtube.com/embed/9Ri9-g2blr8 | |

390h | Secondary | Change the subject of a formula involving algebraic fractions, where the subject is in the denominator. | drfrostmaths.com/explorer.php?ssid=2362 | ||

391 | A Level, Secondary | Exam Practice: Adding and subtracting algebraic fractions, requiring prior factorisation of the denominators | drfrostmaths.com/explorer.php?ssid=361 | https://www.youtube.com/embed/oSy_5CWt3Dg | E391 |

391a | Secondary, A Level | Add or subtract algebraic fractions where factorising is required (changing one denominator). | drfrostmaths.com/explorer.php?ssid=1672 | ||

391b | Secondary, A Level | Add or subtract algebraic fractions where factorising is required (changing two denominators). | drfrostmaths.com/explorer.php?ssid=1677 | ||

391c | Secondary, A Level | Add or subtract three fractions requiring prior factorisation. | drfrostmaths.com/explorer.php?ssid=5727 | ||

391d | A Level, Secondary | Solve an equation with fractions requiring prior factorisation of one of the fractions. | drfrostmaths.com/explorer.php?ssid=1973 | ||

391e | Secondary, A Level | Combine multiplication or division of algebraic fractions, requiring prior factorisation of the denominators, with an addition or subtraction. | drfrostmaths.com/explorer.php?ssid=5728 | ||

392 | Secondary, A Level | Exam Practice: Rationalising the denominator where the denominator consists of a single surd term | drfrostmaths.com/explorer.php?ssid=586 | E392 | |

392a | Secondary, A Level | Rationalise the denominator of a fraction where the denominator is a single surd. | drfrostmaths.com/explorer.php?ssid=686 | https://www.youtube.com/embed/0sSjrJfz6UQ | K685 |

392b | Secondary, A Level | Rationalise the denominator of a fraction where the denominator is a single surd and where subsequent simplification is required. | drfrostmaths.com/explorer.php?ssid=2027 | https://www.youtube.com/embed/p_WoUulAKws | |

392c | Secondary, A Level | Rationalise the denominator of a fraction to subsequently add or subtract surds. | drfrostmaths.com/explorer.php?ssid=2029 | ||

392d | Secondary, A Level | Simplify expressions given in the form \frac{a + \sqrt{b}}{\sqrt{c}} | drfrostmaths.com/explorer.php?ssid=2031 | https://www.youtube.com/embed/X5smkgYqVGY | |

392e | Secondary, A Level | Simplify \left(\frac{a}{\sqrt{b}}\right)^n where n is large. | drfrostmaths.com/explorer.php?ssid=2032 | https://www.youtube.com/embed/flzGFaSKOOE | |

393 | A Level, Secondary | Exam Practice: Rationalising the denominator where the denominator consists of a surd and a second term | drfrostmaths.com/explorer.php?ssid=63 | https://www.youtube.com/embed/wiBovf97ihc | E393 |

393a | Secondary, A Level | Rationalise the denominator of a fraction given in the form \frac{a}{b + \sqrt{c}} | drfrostmaths.com/explorer.php?ssid=2046 | ||

393b | A Level, Secondary | Rationalise the denominator of a fraction given in the form \frac{a}{\sqrt{b} + \sqrt{c}} | drfrostmaths.com/explorer.php?ssid=1139 | https://www.youtube.com/embed/aZmdegR1JTw | K688 |

393c | A Level, Secondary | Rationalise the denominator of a fraction given in the form \frac{a + \sqrt{b}}{c + \sqrt{b}} | drfrostmaths.com/explorer.php?ssid=872 | https://www.youtube.com/embed/GkdPm1qjlEA | K686 |

393d | A Level, Secondary | Solve equations given in the form x(a + \sqrt{b}) = c | drfrostmaths.com/explorer.php?ssid=2044 | ||

393e | A Level, Secondary | Rationalise the denominator of a fraction given in the form \frac{a+\sqrt{b}}{c+\sqrt{d}}, where simplification is required. | drfrostmaths.com/explorer.php?ssid=2045 | ||

393f | A Level, Secondary | Rationalise the denominator of a fraction given in the form \frac{a + b\sqrt{c}}{d + e\sqrt{c}} | drfrostmaths.com/explorer.php?ssid=873 | https://www.youtube.com/embed/qxqFsazeTdk | K687 |

393g | A Level, Secondary | Rationalise the denominator of a fraction given in the form \frac{a+b\sqrt{c}}{d+e\sqrt{f}}, where simplification is required. | drfrostmaths.com/explorer.php?ssid=2042 | ||

393h | A Level, Secondary | Rationalise the denominator of a fraction where either the numerator or the denominator is squared. | drfrostmaths.com/explorer.php?ssid=2047 | ||

393i | A Level, Secondary | Change the subject of the formula where the subject appears twice, resulting in rationalisation of a denominator. | drfrostmaths.com/explorer.php?ssid=2043 | ||

394 | Secondary, A Level | Exam Practice: Fractional indices | drfrostmaths.com/explorer.php?ssid=58 | https://www.youtube.com/embed/E-gq8eq105I | E394 |

394a | A Level, Secondary | Raise a number to the power of one half. | drfrostmaths.com/explorer.php?ssid=2125 | ||

394b | A Level, Secondary | Raise a number to the power of a unit fraction. | drfrostmaths.com/explorer.php?ssid=650 | https://www.youtube.com/embed/cmP8DoNjP6c | K689 |

394c | A Level, Secondary | Determine the unknown power in an expression involving unit fractions as indices, given its numeric equivalent. | drfrostmaths.com/explorer.php?ssid=5729 | ||

394d | A Level, Secondary | Determine the unknown base in an expression involving unit fractions as indices, given its numeric equivalent. | drfrostmaths.com/explorer.php?ssid=5730 | ||

394e | A Level, Secondary | Raise a fraction to the power of a unit fraction. | drfrostmaths.com/explorer.php?ssid=652 | https://www.youtube.com/embed/_OPbhcaouZs | K691 |

394f | Secondary, A Level | Raise a number to the power of a non-unit fraction. | drfrostmaths.com/explorer.php?ssid=2075 | ||

394g | Secondary, A Level | Raise a fraction to the power of a non-unit fraction. | drfrostmaths.com/explorer.php?ssid=2076 | ||

394h | A Level, Secondary | Determine the unknown power in an expression involving non-unit fractions as indices, given its numeric equivalent. | drfrostmaths.com/explorer.php?ssid=5731 | ||

394i | A Level, Secondary | Determine the unknown base in an expression involving non-unit fractions as indices, given its numeric equivalent. | drfrostmaths.com/explorer.php?ssid=5732 | ||

394j | A Level, Secondary | Raise a number to the power of a negative fraction. | drfrostmaths.com/explorer.php?ssid=651 | https://www.youtube.com/embed/uN135i-Sefk | K690 |

394k | Secondary, A Level | Raise a fraction to the power of a negative fraction. | drfrostmaths.com/explorer.php?ssid=653 | https://www.youtube.com/embed/ND5Ls34mRd4 | K692 |

394l | Secondary, A Level | Raise an algebraic term to the power of a positive unit fraction. | drfrostmaths.com/explorer.php?ssid=819 | https://www.youtube.com/embed/2yavvH_Un3w | K693 |

394m | A Level, Secondary | Raise an algebraic term to the power of any positive fraction. | drfrostmaths.com/explorer.php?ssid=5733 | ||

394n | Secondary, A Level | Raise an algebraic term to the power of a negative fraction. | drfrostmaths.com/explorer.php?ssid=820 | https://www.youtube.com/embed/ZabULuxYCrs | K694 |

394o | A Level, Secondary | Raise an algebraic fraction to the power of a negative fraction. | drfrostmaths.com/explorer.php?ssid=2077 | ||

394p | A Level, Secondary | Write a surd expression in one variable as a power of that variable (or value). | drfrostmaths.com/explorer.php?ssid=2085 | ||

394q | A Level, Secondary | Write a collection of terms in the form ax^b | drfrostmaths.com/explorer.php?ssid=1281 | K762 | |

394r | A Level, Secondary | Simplify an algebraic fraction using index laws with negative and fractional powers and surd notation. | drfrostmaths.com/explorer.php?ssid=976 | K766 | |

394s | Secondary, A Level | Write a fraction as a collection of terms by splitting the fraction. | drfrostmaths.com/explorer.php?ssid=1498 | K967 | |

394t | A Level, Secondary | Raise an algebraic expression in standard form to a fractional power and convert back to standard form. | drfrostmaths.com/explorer.php?ssid=5734 | ||

395 | A Level, Secondary | Exam Practice: Solving equations involving negative and fractional powers and surds | drfrostmaths.com/explorer.php?ssid=4306 | E395 | |

395a | A Level, Secondary | Solve equations given in the form x^{-1} = a | drfrostmaths.com/explorer.php?ssid=5735 | ||

395b | A Level, Secondary | Solve equations given in the form x^{-a} = b | drfrostmaths.com/explorer.php?ssid=5736 | ||

395c | A Level, Secondary | Solve equations given in the form x^\frac{1}{a} = b | drfrostmaths.com/explorer.php?ssid=5737 | ||

395d | A Level, Secondary | Solve equations given in the form x^\frac{a}{b} = c resulting in integer solutions. | drfrostmaths.com/explorer.php?ssid=2126 | ||

395e | A Level, Secondary | Solve equations given in the form x^\frac{a}{b} = c resulting in solutions in surd form. | drfrostmaths.com/explorer.php?ssid=2132 | ||

395f | A Level, Secondary | Solve equations given in the form x^{-\frac{a}{b}} = c | drfrostmaths.com/explorer.php?ssid=5738 | ||

395g | A Level, Secondary | Solve equations requiting rearrangement, leading to x^a=b where a is a fraction. | drfrostmaths.com/explorer.php?ssid=1676 | ||

395h | Secondary, A Level | Solve equations where a root or fractional power is involved requiring operations with surds. | drfrostmaths.com/explorer.php?ssid=5739 | ||

395i | A Level, Secondary | Solve equations with negative and fractional powers, then manipulate these values. | drfrostmaths.com/explorer.php?ssid=5740 | ||

396 | Secondary | Exam Practice: Quartiles from discrete data | drfrostmaths.com/explorer.php?ssid=341 | https://www.youtube.com/embed/JZWRp2ANCg0 | E396 |

396a | Secondary | Find quartiles of listed data. | drfrostmaths.com/explorer.php?ssid=1398 | https://www.youtube.com/embed/d1jUs4FceAQ | K552 |

396b | Secondary | Find the interquartile range of listed data. | drfrostmaths.com/explorer.php?ssid=1422 | https://www.youtube.com/embed/uXT0v3Zx6uk | K553 |

396c | Secondary | Find the semi-interquartile range of listed data. | drfrostmaths.com/explorer.php?ssid=5741 | ||

396d | Secondary | Determine the upper and lower quartiles from a stem-and-leaf diagram. | drfrostmaths.com/explorer.php?ssid=1439 | K554 | |

396e | Secondary | Determine the interquartile range from a stem-and-leaf diagram. | drfrostmaths.com/explorer.php?ssid=1758 | ||

396f | Secondary | Compare two sets of data based on their medians and interquartile ranges. | drfrostmaths.com/explorer.php?ssid=5742 | ||

396g | Secondary | Determine the lower or upper quartile from an ungrouped frequency table. | drfrostmaths.com/explorer.php?ssid=2158 | ||

397 | Secondary | Exam Practice: Deciles and percentiles from discrete data | drfrostmaths.com/explorer.php?ssid=4307 | E397 | |

397a | Secondary | Find deciles of listed data. | drfrostmaths.com/explorer.php?ssid=5743 | ||

397b | Secondary | Find percentiles of listed data. | drfrostmaths.com/explorer.php?ssid=5744 | ||

397c | Secondary | Find the inter-decile range of listed data. | drfrostmaths.com/explorer.php?ssid=5745 | ||

397d | Secondary | Find the inter-percentile range of listed data. | drfrostmaths.com/explorer.php?ssid=5746 | ||

397e | Secondary | Compare two sets of data using deciles and percentiles, or the inter-decile or inter-percentile ranges. | drfrostmaths.com/explorer.php?ssid=5747 | ||

398 | Secondary | Exam Practice: Cumulative frequency graphs | drfrostmaths.com/explorer.php?ssid=344 | https://www.youtube.com/embed/sfxNFPWfn14 | E398 |

398a | Secondary | Form a cumulative frequency table from a grouped frequency table. | drfrostmaths.com/explorer.php?ssid=1579 | K757 | |

398b | Secondary | Draw a cumulative frequency curve given a continuous cumulative frequency table. | drfrostmaths.com/explorer.php?ssid=815 | https://www.youtube.com/embed/pKH4XjD4S9M | K557 |

398c | Secondary | Draw a cumulative frequency curve given a continuous, grouped frequency table. | drfrostmaths.com/explorer.php?ssid=816 | https://www.youtube.com/embed/mhvDfyc_IIM | K558 |

398d | Secondary | Use a cumulative frequency curve to estimate the median. | drfrostmaths.com/explorer.php?ssid=839 | https://www.youtube.com/embed/4yQck0Or7Pk | K559 |

398e | Secondary | Use a cumulative frequency curve to estimate the interquartile range. | drfrostmaths.com/explorer.php?ssid=840 | https://www.youtube.com/embed/K2G-hEvhHtM | K560 |

398f | Secondary | Use a cumulative frequency curve to estimate values. | drfrostmaths.com/explorer.php?ssid=1076 | https://www.youtube.com/embed/9stxtowIyKk | K561 |

398g | Secondary | Use a cumulative frequency curve to estimate a percentile or decile. | drfrostmaths.com/explorer.php?ssid=5748 | ||

398h | Secondary | Use a cumulative frequency curve to estimate the inter-decile or inter-percentile range. | drfrostmaths.com/explorer.php?ssid=5749 | ||

398i | Secondary | Form a cumulative frequency table from a discrete, ungrouped frequency table. | drfrostmaths.com/explorer.php?ssid=5750 | ||

398j | Secondary | Draw a cumulative frequency step-polygon given a discrete, ungrouped frequency table. | drfrostmaths.com/explorer.php?ssid=5751 | ||

399 | Secondary | Exam Practice: Box plots / box and whisker diagrams (excluding outliers) | drfrostmaths.com/explorer.php?ssid=345 | https://www.youtube.com/embed/lIcj_NjZlZU | E399 |

399a | Secondary | Interpret a box plot. | drfrostmaths.com/explorer.php?ssid=898 | https://www.youtube.com/embed/e3SPUZLszRY | K555 |

399b | Secondary | Draw a box plot where the quartiles have been calculated. | drfrostmaths.com/explorer.php?ssid=1039 | https://www.youtube.com/embed/deNsGhWY-8A | K556 |

399c | Secondary | Draw a box plot using listed data. | drfrostmaths.com/explorer.php?ssid=5752 | ||

399d | Secondary | Draw a box plot from a cumulative frequency diagram. | drfrostmaths.com/explorer.php?ssid=1750 | ||

399e | Secondary | Understand the proportions shown in a box plot. | drfrostmaths.com/explorer.php?ssid=5753 | ||

399f | Secondary | Compare the distribution of two box plots. | drfrostmaths.com/explorer.php?ssid=1811 | ||

400 | Secondary | Exam Practice: Time series and moving averages | drfrostmaths.com/explorer.php?ssid=4308 | E400 | |

400a | Secondary | Draw a time-series graph. | drfrostmaths.com/explorer.php?ssid=1458 | K90 | |

400b | Secondary | Read a time-series graph. | drfrostmaths.com/explorer.php?ssid=1457 | K89 | |

400c | Secondary | Draw a trend line on a time-series graph. | drfrostmaths.com/explorer.php?ssid=5754 | ||

400d | Secondary | Describe the trend of a given time series graph. | drfrostmaths.com/explorer.php?ssid=5755 | ||

400e | Secondary | Understand and interpret seasonal variation. | drfrostmaths.com/explorer.php?ssid=5756 | ||

400f | Secondary | Calculate a four-point moving average. | drfrostmaths.com/explorer.php?ssid=5757 | ||

400g | Secondary | Calculate a moving average with a given number of points. | drfrostmaths.com/explorer.php?ssid=5758 | ||

400h | Secondary | Use a moving average to plot a trend line. | drfrostmaths.com/explorer.php?ssid=5759 | ||

400i | Secondary | Calculate the mean seasonal variation. | drfrostmaths.com/explorer.php?ssid=5760 | ||

400j | Secondary | Use mean seasonal variation and the trend line to give a predicted future value. | drfrostmaths.com/explorer.php?ssid=5761 | ||

400k | Secondary | Justify the use of a given number of points for a moving average or the validity of a prediction. | drfrostmaths.com/explorer.php?ssid=5762 | ||

401 | Secondary, A Level | Exam Practice: Histograms and frequency density (unequal class widths) | drfrostmaths.com/explorer.php?ssid=339 | https://www.youtube.com/embed/yvVOFvXTY3s | E401 |

401a | A Level, Secondary | Complete a histogram from a frequency table. | drfrostmaths.com/explorer.php?ssid=876 | https://www.youtube.com/embed/yvYLF8Tg764 | K623 |

401b | Secondary, A Level | Complete a frequency table from a histogram. | drfrostmaths.com/explorer.php?ssid=877 | https://www.youtube.com/embed/tNomKD1fvkA | K624 |

401c | Secondary, A Level | Use a single frequency to determine another for a given range on a histogram. | drfrostmaths.com/explorer.php?ssid=878 | https://www.youtube.com/embed/WAUKD2E_Lh8 | K625 |

401d | A Level, Secondary | Determine the total frequency from a histogram given one frequency. | drfrostmaths.com/explorer.php?ssid=879 | https://www.youtube.com/embed/0D2ijgv6Jl8 | K626 |

401e | A Level, Secondary | Estimate a frequency in a given range from a histogram. | drfrostmaths.com/explorer.php?ssid=5763 | ||

401f | Secondary, A Level | Determine a probability or proportion of a range from a histogram. | drfrostmaths.com/explorer.php?ssid=5764 | ||

401g | A Level, Secondary | Find the dimensions of a histogram bar. | drfrostmaths.com/explorer.php?ssid=1093 | K844 | |

401h | Secondary, A Level | Estimate the mean from a histogram. | drfrostmaths.com/explorer.php?ssid=5765 | ||

401i | A Level, Secondary | Estimate the median from a histogram. | drfrostmaths.com/explorer.php?ssid=5766 | ||

401j | A Level, Secondary | Estimate a decile or percentile from a histogram. | drfrostmaths.com/explorer.php?ssid=5767 | ||

402 | Secondary | Exam Practice: Understanding skewness | drfrostmaths.com/explorer.php?ssid=4309 | E402 | |

402a | Secondary | Describe the skewness of a given frequency diagram or histogram. | drfrostmaths.com/explorer.php?ssid=5768 | ||

402b | Secondary | Describe the skewness of a given box plot. | drfrostmaths.com/explorer.php?ssid=5769 | ||

402c | Secondary | Determine skewness of a data set by comparing its mean, median and mode. | drfrostmaths.com/explorer.php?ssid=5770 | ||

402d | Secondary | Compare two sets of data by considering their skewness. | drfrostmaths.com/explorer.php?ssid=5771 | ||

403 | Secondary | Exam Practice: Comparing data sets using different representations | drfrostmaths.com/explorer.php?ssid=4310 | E403 | |

403a | Secondary | Compare two data sets, where one is represented in a diagram and the other as a set of summary statistics. | drfrostmaths.com/explorer.php?ssid=5772 | ||

403b | Secondary | Compare two data sets, where each is represented with a different statistical diagram. | drfrostmaths.com/explorer.php?ssid=5773 | ||

404 | Exam Practice: Understand the significance of sign changes in locating roots to f(x) = 0 and where it fails. | drfrostmaths.com/explorer.php?ssid=281 | E404 | ||

404 | Secondary | Exam Practice: Cavalieri's principle | drfrostmaths.com/explorer.php?ssid=4311 | E404 | |

404a | Secondary | Apply Cavalieri's principle in 2D. | drfrostmaths.com/explorer.php?ssid=5774 | ||

404b | Secondary | Apply Cavalieri's principle in 3D. | drfrostmaths.com/explorer.php?ssid=5775 | ||

405 | Secondary | Exam Practice: Volume of a pyramid, cone or sphere | drfrostmaths.com/explorer.php?ssid=115 | https://www.youtube.com/embed/TNnauy1E0gw | E405 |

405a | Secondary | Calculate the volume of a pyramid. | drfrostmaths.com/explorer.php?ssid=781 | https://www.youtube.com/embed/X7OWPOii4Y8 | K662 |

405b | Secondary | Calculate the volume of a cone. | drfrostmaths.com/explorer.php?ssid=1003 | https://www.youtube.com/embed/EAX950Orq98 | K663 |

405c | Secondary | Calculate the volume of a sphere. | drfrostmaths.com/explorer.php?ssid=999 | https://www.youtube.com/embed/-oYEaZtRY-E | K657 |

405d | Secondary | Calculate the volume of a hemisphere. | drfrostmaths.com/explorer.php?ssid=1000 | https://www.youtube.com/embed/Tb6Gzf3rE58 | K658 |

405e | Secondary | Determine an unknown dimension of a pyramid given its volume. | drfrostmaths.com/explorer.php?ssid=1529 | https://www.youtube.com/embed/J6QOr7BVz0k | K725 |

405f | Secondary | Determine the height of a cone given its volume. | drfrostmaths.com/explorer.php?ssid=1006 | https://www.youtube.com/embed/pkfs8H8E2Wo | K664 |

405g | Secondary | Determine the radius or diameter of a cone given its volume. | drfrostmaths.com/explorer.php?ssid=1005 | https://www.youtube.com/embed/QDMakCHENko | K665 |

405h | Secondary | Determine the radius of a sphere given its volume. | drfrostmaths.com/explorer.php?ssid=1002 | https://www.youtube.com/embed/xK9xcPJjXJ8 | K659 |

405i | Secondary | Determine the radius of a hemisphere given its volume. | drfrostmaths.com/explorer.php?ssid=1530 | K726 | |

405j | Secondary | Determine a density of mass using the volume of a pyramid, cone or sphere. | drfrostmaths.com/explorer.php?ssid=5776 | ||

405k | Secondary | Form and solve equations in one variable where the volume of a pyramid, cone or sphere is given. | drfrostmaths.com/explorer.php?ssid=5777 | ||

405l | Secondary | Equate volumes of solids, with all but one length known, to determine that length. | drfrostmaths.com/explorer.php?ssid=5778 | ||

405m | Secondary | Equate volumes of solids, where there is a ratio between two lengths, to determine an unknown. | drfrostmaths.com/explorer.php?ssid=5779 | ||

405n | Secondary | Equate volumes of solids, involving algebraic lengths, to obtain an equation for one variable in terms of another. | drfrostmaths.com/explorer.php?ssid=5780 | ||

405o | Secondary | Problem solve involving ratios and volumes of solids to find a length. | drfrostmaths.com/explorer.php?ssid=5781 | ||

405p | Secondary | Determine the volume of a cone given its net. | drfrostmaths.com/explorer.php?ssid=5782 | ||

405q | Secondary | Determine the volume inside one solid but outside another. | drfrostmaths.com/explorer.php?ssid=5783 | ||

406 | Secondary | Exam Practice: Surface area of a cone or sphere/hemisphere | drfrostmaths.com/explorer.php?ssid=116 | E406 | |

406a | Secondary | Calculate the surface area of a sphere. | drfrostmaths.com/explorer.php?ssid=1007 | https://www.youtube.com/embed/hG2TpAew2Co | K660 |

406b | Secondary | Calculate the surface area of a hemisphere. | drfrostmaths.com/explorer.php?ssid=1424 | https://www.youtube.com/embed/OZtmPxtXhX8 | K661 |

406c | Secondary | Determine the radius of a hemisphere given its surface area. | drfrostmaths.com/explorer.php?ssid=1531 | K728 | |

406d | Secondary | Determine the radius of a sphere given its surface area. | drfrostmaths.com/explorer.php?ssid=1532 | K727 | |

406e | Secondary | Determine the surface area of a cone given the slanted height. | drfrostmaths.com/explorer.php?ssid=1010 | https://www.youtube.com/embed/Ygc3occoSck | K667 |

406f | Secondary | Calculate the surface area of a cone given the perpendicular height. | drfrostmaths.com/explorer.php?ssid=1011 | https://www.youtube.com/embed/KyeHi2WinJY | K666 |

406g | Secondary | Determine the slanted height of a cone given the surface area. | drfrostmaths.com/explorer.php?ssid=8279 | ||

406h | Secondary | Determine the radius of a cone given the surface area. | drfrostmaths.com/explorer.php?ssid=8280 | ||

406i | Secondary | Determine the perpendicular height of a cone given the surface area. | drfrostmaths.com/explorer.php?ssid=8281 | ||

406j | Secondary | Determine the surface area of a compound solid with curved faces. | drfrostmaths.com/explorer.php?ssid=5784 | ||

406k | Secondary | Equate the surface area of solids, with all but one length known, to determine that length. | drfrostmaths.com/explorer.php?ssid=5785 | ||

406l | Secondary | Determine the surface area of a sphere given its volume, or vice versa. | drfrostmaths.com/explorer.php?ssid=5786 | ||

406m | Secondary | Determine the surface area of a hemisphere or quarter sphere given its volume. | drfrostmaths.com/explorer.php?ssid=5787 | ||

406n | Secondary | Determine the surface area of a cone given the volume. | drfrostmaths.com/explorer.php?ssid=5788 | ||

406o | Secondary | Determine the volume of a cone given the surface area. | drfrostmaths.com/explorer.php?ssid=5789 | ||

406p | Secondary | Equate the surface area of solids, involving algebraic lengths, to obtain an equation for one variable in terms of another. | drfrostmaths.com/explorer.php?ssid=5790 | ||

407 | Secondary | Exam Practice: Volume of more complex compound 3D shapes | drfrostmaths.com/explorer.php?ssid=117 | https://www.youtube.com/embed/z5OOZNcQqeA | E407 |

407a | Secondary | Calculate the volume of a compound solid comprising of a cylinder and a cube. | drfrostmaths.com/explorer.php?ssid=5791 | ||

407b | Secondary | Calculate the volume of a compound solid comprising of a pyramid and a cuboid. | drfrostmaths.com/explorer.php?ssid=5792 | ||

407c | Secondary | Calculate the volume of a frustum of a cone. | drfrostmaths.com/explorer.php?ssid=1009 | https://www.youtube.com/embed/0ihDuFhSc8M | K668 |

407d | Secondary | Calculate the volume of a compound solid comprising of a cone and a hemisphere. | drfrostmaths.com/explorer.php?ssid=1795 | ||

407e | Secondary | Calculate the volume of a compound solid comprising of a cylinder and a hemisphere. | drfrostmaths.com/explorer.php?ssid=5793 | ||

407f | Secondary | Calculate the volume of a compound solid comprising of a cylinder and a cone. | drfrostmaths.com/explorer.php?ssid=5794 | ||

407g | Secondary | Determine the volume of a compound solid where the volume of one solid is given. | drfrostmaths.com/explorer.php?ssid=5795 | ||

407h | Secondary | Solve rates of flow problems involving compound solids. | drfrostmaths.com/explorer.php?ssid=5796 | ||

408 | Secondary | Exam Practice: Surface area of more complex compound 3D shapes | drfrostmaths.com/explorer.php?ssid=4312 | E408 | |

408a | Secondary | Calculate the surface area of a compound solid comprising of a pyramid and a cuboid. | drfrostmaths.com/explorer.php?ssid=5797 | ||

408b | Secondary | Calculate the surface area of a frustum of a cone. | drfrostmaths.com/explorer.php?ssid=5798 | ||

408c | Secondary | Calculate the surface area of a compound solid comprising of a cone and a hemisphere. | drfrostmaths.com/explorer.php?ssid=5799 | ||

408d | Secondary | Calculate the surface area of a compound solid comprising of a cylinder and a hemisphere. | drfrostmaths.com/explorer.php?ssid=5800 | ||

408e | Secondary | Calculate the surface area of a compound solid comprising of a cylinder and a cone. | drfrostmaths.com/explorer.php?ssid=5801 | ||

408f | Secondary | Calculate the surface area of a compound solid comprising of a cylinder and a cube. | drfrostmaths.com/explorer.php?ssid=5802 | ||

408g | Secondary | Determine the surface area of a compound solid where the volume of one solid is given. | drfrostmaths.com/explorer.php?ssid=5803 | ||

408h | Secondary | Determine the surface area of a compound solid given its volume. | drfrostmaths.com/explorer.php?ssid=5804 | ||

409 | Secondary | Exam Practice: 3D coordinates | drfrostmaths.com/explorer.php?ssid=135 | E409 | |

409a | Secondary | Determine the 3D coordinate of a vertex on a cube or cuboid. | drfrostmaths.com/explorer.php?ssid=5805 | ||

409b | Secondary | Determine an unknown point within two points and their midpoint. | drfrostmaths.com/explorer.php?ssid=5806 | ||

409c | Secondary | Determine the 3D coordinate of a midpoint of an edge or face on a cube or cuboid. | drfrostmaths.com/explorer.php?ssid=5807 | ||

409d | Secondary | Determine a 3D coordinate on a pyramid or triangular prism. | drfrostmaths.com/explorer.php?ssid=5808 | ||

409e | Secondary | Determine the coordinates of a point that shares a 3D line in a ratio. | drfrostmaths.com/explorer.php?ssid=5809 | ||

410 | Secondary | Exam Practice: Pythagoras' theorem in 3D shapes | drfrostmaths.com/explorer.php?ssid=138 | https://www.youtube.com/embed/hh1jZKSM4UE | E410 |

410a | Secondary | Calculate the length of a space diagonal of a cuboid using Pythagoras' theorem. | drfrostmaths.com/explorer.php?ssid=1194 | https://www.youtube.com/embed/v8BzZuBNQ40 | K511 |

410b | Secondary | Calculate the length of a face diagonal of a cuboid using Pythagoras' theorem. | drfrostmaths.com/explorer.php?ssid=1195 | https://www.youtube.com/embed/rdMmCq3JIkA | K510 |

410c | Secondary | Calculate the length of a face diagonal of a prism using Pythagoras' theorem. | drfrostmaths.com/explorer.php?ssid=1671 | ||

410d | Secondary | Calculate the length of a space diagonal of a prism. | drfrostmaths.com/explorer.php?ssid=5810 | ||

410e | Secondary | Determine the height of a square or rectangular based pyramid. | drfrostmaths.com/explorer.php?ssid=5811 | ||

410f | Secondary | Determine a length of a sloped edge of a square or rectangular based pyramid. | drfrostmaths.com/explorer.php?ssid=5812 | ||

411 | Secondary | Exam Practice: Trigonometry in 3D shapes (right-angled only) | drfrostmaths.com/explorer.php?ssid=576 | E411 | |

411a | Secondary | Calculate the angle between a line and a plane in a cuboid. | drfrostmaths.com/explorer.php?ssid=1146 | https://www.youtube.com/embed/totOyFxPp8I | K641 |

411b | Secondary | Calculate the angle between a sloped edge and the base of a pyramid. | drfrostmaths.com/explorer.php?ssid=1306 | https://www.youtube.com/embed/tBf5vHTJyhg | K642 |

411c | Secondary | Calculate the angle between two opposite slant edges of a pyramid. | drfrostmaths.com/explorer.php?ssid=5813 | ||

411d | Secondary | Determine the angle between a line and a plane in a triangular prism using its lengths. | drfrostmaths.com/explorer.php?ssid=5814 | ||

411e | Secondary | Determine the angle between a line and a plane in a triangular prism using another angle. | drfrostmaths.com/explorer.php?ssid=5815 | ||

411f | Secondary | Calculate a length in a triangular prism using given angles and lengths. | drfrostmaths.com/explorer.php?ssid=5816 | ||

411g | Secondary | Calculate a length in a right-angled tetrahedron given angles and lengths. | drfrostmaths.com/explorer.php?ssid=5817 | ||

411h | Secondary | Determine the angle between the sloped plane and the base of a right-angled tetrahedron. | drfrostmaths.com/explorer.php?ssid=5818 | ||

411i | Secondary | Determine the angle between a sloped face and the base of a pyramid. | drfrostmaths.com/explorer.php?ssid=5819 | ||

412 | Secondary | Exam Practice: Exact trigonometric values | drfrostmaths.com/explorer.php?ssid=152 | https://www.youtube.com/embed/7t_SK-wJfFI | E412 |

412a | Secondary | Know exact trigonometric ratios. | drfrostmaths.com/explorer.php?ssid=822 | https://www.youtube.com/embed/ojmP7GLS5Q4 | K488 |

412b | Secondary | Calculate a length in a single right-angled triangle using exact trigonometric ratios. | drfrostmaths.com/explorer.php?ssid=5820 | ||

412c | Secondary | Determine a length by using an exact trigonometric ratio combined with Pythagoras. | drfrostmaths.com/explorer.php?ssid=5821 | ||

413 | Secondary | Exam Practice: Completing the square to put an expression in the form (x+a)^2 + b | drfrostmaths.com/explorer.php?ssid=107 | https://www.youtube.com/embed/sQooemMboCw | E413 |

413a | Secondary | Complete the square for quadratic expressions given in the form x^2 + bx + c where b is even. | drfrostmaths.com/explorer.php?ssid=748 | https://www.youtube.com/embed/GN0Kya1KV4s | K580 |

413b | Secondary | Complete the square for quadratic expressions given in the form x^2 + bx + c where b is odd. | drfrostmaths.com/explorer.php?ssid=1753 | https://www.youtube.com/embed/k0wVpJqUAZU | |

413c | Secondary | Complete the square for quadratic expressions given in the form x^2 + bx + c where b is algebraic. | drfrostmaths.com/explorer.php?ssid=1611 | https://www.youtube.com/embed/CdMU81O84Is | |

413d | Secondary | Complete the square for quadratic expressions given in the form x^2 + bx + c where b is a surd. | drfrostmaths.com/explorer.php?ssid=5822 | ||

414 | Secondary | Exam Practice: Completing the square to put an expression in the form a(x+b)^2 + c | drfrostmaths.com/explorer.php?ssid=509 | https://www.youtube.com/embed/sQooemMboCw | E414 |

414a | Secondary | Complete the square for quadratic expressions given in the form ax^2 + bx + c, where a is positive. | drfrostmaths.com/explorer.php?ssid=749 | https://www.youtube.com/embed/MmkHaxbtEE4 | K581 |

414b | Secondary | Complete the square for quadratic expressions given in the form ax^2 + bx + c, where a is negative. | drfrostmaths.com/explorer.php?ssid=1015 | https://www.youtube.com/embed/697lfJeyOaw | K768 |

415 | Secondary | Exam Practice: Solving quadratic equations by completing the square | drfrostmaths.com/explorer.php?ssid=110 | https://www.youtube.com/embed/Ypo9PKsiD8k | E415 |

415a | Secondary | Solve a quadratic equation when given in completed square form. | drfrostmaths.com/explorer.php?ssid=1720 | ||

416 | Secondary | Exam Practice: Minimum or maximum point of a quadratic graph by completing the square | drfrostmaths.com/explorer.php?ssid=106 | https://www.youtube.com/embed/bIH8FVngi2U | E416 |

416a | Secondary | Determine the minimum point of a quadratic graph when given in completed the square form. | drfrostmaths.com/explorer.php?ssid=1714 | ||

416b | Secondary | Determine the original quadratic function given the maximum or minimum point. | drfrostmaths.com/explorer.php?ssid=1716 | ||

416c | Secondary | Determine the maximum point of a quadratic graph when given in completed the square form. | drfrostmaths.com/explorer.php?ssid=1715 | ||

416d | Secondary | Determine the minimum point of a quadratic graph. | drfrostmaths.com/explorer.php?ssid=772 | https://www.youtube.com/embed/aa7pD91Krkg | K582 |

416e | Secondary | Determine the maximum point of a quadratic graph. | drfrostmaths.com/explorer.php?ssid=844 | https://www.youtube.com/embed/ndlOa7VQs34 | K583 |

416f | Secondary | Sketch a quadratic graph, including its intercepts and turning point by completing the square. | drfrostmaths.com/explorer.php?ssid=1563 | https://www.youtube.com/embed/qzqKL3SOL0E | K743 |

416g | Secondary | Use information from a scenario, modelled as a quadratic curve with a given turning point, to determine the equation of the curve. | drfrostmaths.com/explorer.php?ssid=8329 | ||

416h | Secondary | Use information from a scenario, modelled as a quadratic curve with a given turning point, to determine the width of the curve for a particular height. | drfrostmaths.com/explorer.php?ssid=8319 | ||

417 | Secondary | Exam Practice: Quadratic formula to solve quadratic equations | drfrostmaths.com/explorer.php?ssid=109 | https://www.youtube.com/embed/q0vb8ybymKI | E417 |

417a | Secondary | Solve a quadratic equation to get exact solutions. | drfrostmaths.com/explorer.php?ssid=782 | https://www.youtube.com/embed/m6BTCVHtKak | K619 |

417b | Secondary | Solve a quadratic equation using the quadratic formula or by completing the square to get numeric solutions. | drfrostmaths.com/explorer.php?ssid=783 | https://www.youtube.com/embed/m6BTCVHtKak | K620 |

417c | Secondary | Solve quadratic equations using the quadratic formula, requiring rearrangement. | drfrostmaths.com/explorer.php?ssid=5823 | ||

417d | Secondary | Determine the original quadratic equation given use of the quadratic formula. | drfrostmaths.com/explorer.php?ssid=5824 | ||

418 | Secondary | Exam Practice: Forming quadratic or non-linear equations from a given context (excluding probability problems) | drfrostmaths.com/explorer.php?ssid=499 | E418 | |

418a | Secondary | Form a quadratic equation from the area of a rectangle. | drfrostmaths.com/explorer.php?ssid=1662 | https://www.youtube.com/embed/YM39s9xWowk | |

418b | Secondary | Form a quadratic equation using sides of a right-angled triangle where the area is known. | drfrostmaths.com/explorer.php?ssid=5825 | ||

418c | Secondary | Form a quadratic equation from the area of a more complex rectilinear shape. | drfrostmaths.com/explorer.php?ssid=5826 | ||

418d | Secondary | Form a quadratic equation from the area of a trapezium. | drfrostmaths.com/explorer.php?ssid=1664 | https://www.youtube.com/embed/xh6ZvbsG7mM | |

418e | Secondary | Form a quadratic equation for the area of a trapezium inside a rectangle. | drfrostmaths.com/explorer.php?ssid=1657 | ||

418f | Secondary | Form a quadratic equation using the sides of a right-angled triangle using Pythagoras' Theorem. | drfrostmaths.com/explorer.php?ssid=1656 | ||

418g | Secondary | Form a quadratic equation using sides of a right-angled triangle where the perimeter is known. | drfrostmaths.com/explorer.php?ssid=5827 | ||

418h | Secondary | Form a quadratic equation using the dimensions of a cuboid where the volume is known. | drfrostmaths.com/explorer.php?ssid=5828 | ||

418i | Secondary | Form a quadratic equation using the dimensions of a cuboid where the surface area is known. | drfrostmaths.com/explorer.php?ssid=5829 | ||

418j | Secondary | Form a quadratic equation using the dimensions of a prism where the volume is known. | drfrostmaths.com/explorer.php?ssid=5830 | ||

418k | Secondary | Form a quadratic equation from two equivalent ratios. | drfrostmaths.com/explorer.php?ssid=5831 | ||

418l | Secondary | Form a quadratic equation from a percentage problem. | drfrostmaths.com/explorer.php?ssid=5832 | ||

419 | Secondary, A Level | Exam Practice: Solving non-linear simultaneous equations/systems of equations by substitution | drfrostmaths.com/explorer.php?ssid=83 | https://www.youtube.com/embed/2_n1KKPzmm8 | E419 |

419a | Secondary, A Level | Solve non-linear simultaneous equations/systems of equations where y is the subject of both equations, to give a quadratic equation to be solved. | drfrostmaths.com/explorer.php?ssid=1085 | https://www.youtube.com/embed/vpfpFrcBE8A | K570 |

419b | Secondary, A Level | Solve non-linear simultaneous equations/systems of equations by substitution, where one includes a product or division of two variables and the other has x or y as the subject. | drfrostmaths.com/explorer.php?ssid=5833 | ||

419c | A Level, Secondary | Solve non-linear simultaneous equations/systems of equations with one equation given in the form x^2 + y^2 = a and the other where x or y is the subject. | drfrostmaths.com/explorer.php?ssid=1159 | https://www.youtube.com/embed/mcJCVfqGJR4 | K571 |

419d | Secondary, A Level | Solve simultaneous equations/systems of equations given in the form ax + by = c and x^2 + y^2 = d | drfrostmaths.com/explorer.php?ssid=1304 | K775 | |

419e | Secondary, A Level | Solve simultaneous equations/systems of equations with variables in denominator of fractions e.g. x/y+2y/x=4 and y=x-2 | drfrostmaths.com/explorer.php?ssid=5834 | ||

420 | Secondary | Exam Practice: Plotting simple cubic graphs | drfrostmaths.com/explorer.php?ssid=4313 | E420 | |

420a | Secondary | Complete a table of values for a cubic graph with x^3 coefficient equal to one. | drfrostmaths.com/explorer.php?ssid=5835 | ||

420b | Secondary | Complete a table of values for a cubic graph with positive integer coefficient of x^3 | drfrostmaths.com/explorer.php?ssid=1077 | https://www.youtube.com/embed/vA9zaxktXks | K416 |

420c | Secondary | Complete a table of values for a cubic graph with negative integer coefficient of x^3 | drfrostmaths.com/explorer.php?ssid=5836 | ||

420d | Secondary | Complete a table of values for a cubic graph with fractional coefficient of x^3 | drfrostmaths.com/explorer.php?ssid=5837 | ||

420e | Secondary | Plot a cubic graph using a completed table of values. | drfrostmaths.com/explorer.php?ssid=5838 | ||

420f | Secondary | Complete a table of values and plot the corresponding cubic graph. | drfrostmaths.com/explorer.php?ssid=5839 | ||

421 | Secondary | Exam Practice: Using graphs to find approximate solutions to quadratic equations | drfrostmaths.com/explorer.php?ssid=99 | E421 | |

421a | Secondary | Determine approximate solutions to a quadratic equation using a graph. | drfrostmaths.com/explorer.php?ssid=1815 | ||

421b | Secondary | Solve simultaneous equations/systems of equations using graphical methods, where one is linear and the other is quadratic. | drfrostmaths.com/explorer.php?ssid=1037 | K374 | |

421c | Secondary | Draw a horizontal line to determine approximate solutions to a quadratic equation. | drfrostmaths.com/explorer.php?ssid=1123 | https://www.youtube.com/embed/EAInxAQnfdU | K608 |

421d | Secondary | Draw a non-horizontal line to determine approximate solutions to a quadratic equation. | drfrostmaths.com/explorer.php?ssid=1324 | https://www.youtube.com/embed/4ellJ6ww-yA | K609 |

421e | Secondary | Draw a line to determine approximate solutions to a quadratic equation requiring rearrangement. | drfrostmaths.com/explorer.php?ssid=1325 | https://www.youtube.com/embed/LYsEQfT9r5I | K610 |

421f | Secondary | Draw a straight line to determine approximate solutions to a cubic equation requiring rearrangement. | drfrostmaths.com/explorer.php?ssid=8332 | ||

422 | Secondary | Exam Practice: Plotting reciprocal graphs | drfrostmaths.com/explorer.php?ssid=4314 | E422 | |

422a | Secondary | Complete a table of values for a reciprocal graph with equation given in the form y=\frac{a}{x} | drfrostmaths.com/explorer.php?ssid=1136 | K612 | |

422b | Secondary | Complete a table of values for a reciprocal graph with equation given in the form y=\frac{-a}{x} | drfrostmaths.com/explorer.php?ssid=5840 | ||

422c | Secondary | Complete a table of values for a reciprocal graph with equation given in the form y=\frac{a}{x^2} | drfrostmaths.com/explorer.php?ssid=5841 | ||

422d | Secondary | Plot a reciprocal graph using a completed table of values. | drfrostmaths.com/explorer.php?ssid=5842 | ||

422e | Secondary | Complete a table of values and plot the corresponding reciprocal graph. | drfrostmaths.com/explorer.php?ssid=5843 | ||

423 | Secondary | Exam Practice: Plotting exponential graphs | drfrostmaths.com/explorer.php?ssid=4315 | E423 | |

423a | Secondary | Complete a table of values for an exponential graph with equation y=a^x for positive integer a | drfrostmaths.com/explorer.php?ssid=1573 | https://www.youtube.com/embed/VRWl266QuAM | K753 |

423b | Secondary | Complete a table of values for an exponential graph with equation y=ab^x for positive integers a and b | drfrostmaths.com/explorer.php?ssid=5844 | ||

423c | Secondary | Complete a table of values for an exponential graph with equation y=a^{-x} for positive integer a | drfrostmaths.com/explorer.php?ssid=5845 | ||

423d | Secondary | Plot an exponential graph using a completed table of values. | drfrostmaths.com/explorer.php?ssid=1135 | K611 | |

423e | Secondary | Plot exponential graphs of for y=ab^x+c | drfrostmaths.com/explorer.php?ssid=5846 | ||

423f | Secondary | Complete a table of values and plot the corresponding exponential graph. | drfrostmaths.com/explorer.php?ssid=5847 | ||

424 | A Level, Secondary | Exam Practice: Properties of exponential graphs | drfrostmaths.com/explorer.php?ssid=4316 | E424 | |

424a | A Level, Secondary | Identify the y-intercept of an exponential graph given in the form y=a^x | drfrostmaths.com/explorer.php?ssid=5848 | ||

424b | Secondary, A Level | Identify the y-intercept of an exponential graph given in the form y=ab^x | drfrostmaths.com/explorer.php?ssid=5849 | ||

424c | A Level, Secondary | Interpret the value of a in an exponential model y = ab^x in context. | drfrostmaths.com/explorer.php?ssid=5850 | ||

424d | A Level, Secondary | Interpret the value of b in an exponential model y = ab^x in context. | drfrostmaths.com/explorer.php?ssid=5851 | ||

424e | A Level, Secondary | Identify the y-intercept of an exponential graph given in the form y=ab^{-x} | drfrostmaths.com/explorer.php?ssid=5852 | ||

424f | A Level, Secondary | Identify the y-intercept of an exponential graph given in the form y=ab^{x} +c | drfrostmaths.com/explorer.php?ssid=5853 | ||

424g | Secondary, A Level | Identify asymptotes given an exponential graph. | drfrostmaths.com/explorer.php?ssid=5854 | ||

424h | Secondary, A Level | Identify asymptotes given the equation of an exponential graph. | drfrostmaths.com/explorer.php?ssid=5855 | ||

425 | Secondary | Exam Practice: Determining the values of p and q in the exponential function y = pq^x | drfrostmaths.com/explorer.php?ssid=100 | https://www.youtube.com/embed/9cHBsfER4ik | E425 |

425a | Secondary | Determine the values of p and q in the exponential function y = pq^x | drfrostmaths.com/explorer.php?ssid=1099 | https://www.youtube.com/embed/eO13uNnGk0I | K607 |

425b | Secondary | Use a graph to determine the function y = pq^x | drfrostmaths.com/explorer.php?ssid=2097 | ||

425c | Secondary | Determine an exponential model y = pq^x from two data points to make a prediction. | drfrostmaths.com/explorer.php?ssid=2182 | ||

425d | Secondary | Determine an exponential model y = pq^x +r from two data points to make a prediction. | drfrostmaths.com/explorer.php?ssid=8318 | ||

426 | Secondary | Exam Practice: Recognising the shape of basic forms of cubic, reciprocal and exponential graphs based on their equations | drfrostmaths.com/explorer.php?ssid=426 | https://www.youtube.com/embed/FVfjEuLxe90 | E426 |

426a | Secondary | Sketch the basic quadratic (y=x^2), cubic (y=x^3), reciprocal (y=1/x) and exponential (y=a^x) graphs. | drfrostmaths.com/explorer.php?ssid=5856 | ||

426b | Secondary | Recognise the shape of simple quadratic, cubic, reciprocal and exponential graphs. | drfrostmaths.com/explorer.php?ssid=5857 | ||

426c | Secondary | Recognise graphs for directly proportional and inversely proportional relationships. | drfrostmaths.com/explorer.php?ssid=2294 | ||

427 | Secondary | Exam Practice: Recognising the shape of more complex forms of quadratic, cubic, reciprocal and exponential graphs based on their equations | drfrostmaths.com/explorer.php?ssid=4317 | E427 | |

427a | Secondary | Use the shape of more general linear, quadratic, cubic, reciprocal and exponential graphs and match to a given equation. | drfrostmaths.com/explorer.php?ssid=1144 | https://www.youtube.com/embed/TbZn2Lyewoc | K613 |

427b | Secondary | Identify a particular quadratic graph amongst other quadratic graphs. | drfrostmaths.com/explorer.php?ssid=5858 | ||

427c | Secondary | Identify a particular cubic graph amongst other cubic graphs. | drfrostmaths.com/explorer.php?ssid=5859 | ||

427d | Secondary | Identify a particular reciprocal graph amongst other reciprocal graphs. | drfrostmaths.com/explorer.php?ssid=5860 | ||

427e | Secondary | Identify a particular exponential graph amongst other exponential graphs. | drfrostmaths.com/explorer.php?ssid=5861 | ||

428 | A Level | Exam Practice: Choosing a model given the shape of data | drfrostmaths.com/explorer.php?ssid=4318 | E428 | |

428a | A Level | Decide between a linear, quadratic and exponential model based on the shape of bivariate data. | drfrostmaths.com/explorer.php?ssid=5862 | ||

428b | A Level | Informally assess the suitability of a linear, quadratic or exponential model based on the (absolute) residuals. | drfrostmaths.com/explorer.php?ssid=5863 | ||

428c | A Level | Linearise a graph showing a directly proportional relationship. | drfrostmaths.com/explorer.php?ssid=5864 | ||

429 | Secondary | Exam Practice: Angles in quadrants | drfrostmaths.com/explorer.php?ssid=4319 | E429 | |

429a | Secondary | Identify the initial and terminal side of an angle. | drfrostmaths.com/explorer.php?ssid=5865 | ||

429b | Secondary | Calculate the angle between the initial and terminal sides for an angle in the standard position. | drfrostmaths.com/explorer.php?ssid=5866 | ||

429c | Secondary | Identify coterminal angles. | drfrostmaths.com/explorer.php?ssid=5867 | ||

429d | Secondary | Calculate the reference angle for an angle between 0 and 360 degrees. | drfrostmaths.com/explorer.php?ssid=5868 | ||

429e | Secondary | Calculate the reference angle for an angle above 360 degrees. | drfrostmaths.com/explorer.php?ssid=5869 | ||

430 | Secondary | Exam Practice: Using the unit circle to find trigonometric values above 90^{\circ} | drfrostmaths.com/explorer.php?ssid=4320 | E430 | |

430a | Secondary | Use the unit circle to find \sin, \cos or \tan of a multiple of 90^{\circ} | drfrostmaths.com/explorer.php?ssid=5870 | ||

430b | Secondary | Use the unit circle to find \sin, \cos or \tan of a value in the second quadrant. | drfrostmaths.com/explorer.php?ssid=5871 | ||

430c | Secondary | Use the unit circle to find \sin, \cos or \tan of a value in the third or fourth quadrant. | drfrostmaths.com/explorer.php?ssid=5872 | ||

430d | Secondary | Use the unit circle to find \sin, \cos or \tan of angles above 360 degrees. | drfrostmaths.com/explorer.php?ssid=5873 | ||

431 | Secondary | Exam Practice: Plotting and recognising graphs of trigonometric functions | drfrostmaths.com/explorer.php?ssid=98 | https://www.youtube.com/embed/1rghC25XnHY | E431 |

431a | Secondary | Plot and recognise graphs of y = \sin(x) and y = \cos(x) in degrees. | drfrostmaths.com/explorer.php?ssid=1143 | K621 | |

431b | Secondary | Plot and recognise the graph y = \tan(x) in degrees. | drfrostmaths.com/explorer.php?ssid=2171 | ||

431c | Secondary | Appreciate the relationship between \sin and \cos for complementary angles. | drfrostmaths.com/explorer.php?ssid=2345 | ||

431d | Secondary | Understand the amplitude, period and midline of a trigonometric function using its graph. | drfrostmaths.com/explorer.php?ssid=2359 | ||

432 | Secondary | Exam Practice: Function notation and calculating outputs or inputs or a function | drfrostmaths.com/explorer.php?ssid=392 | https://www.youtube.com/embed/F8g8urV7ZZw | E432 |

432a | Secondary | Calculate the output of a function, given the input. | drfrostmaths.com/explorer.php?ssid=832 | https://www.youtube.com/embed/RoOwcP6UxpM | K590 |

432b | Secondary | Write a function that represents a function machine. | drfrostmaths.com/explorer.php?ssid=2286 | ||

432c | Secondary | Determine the input of a linear function, given the output. | drfrostmaths.com/explorer.php?ssid=1801 | ||

432d | Secondary | Determine the input of a quadratic function, given the output. | drfrostmaths.com/explorer.php?ssid=2301 | ||

432e | Secondary | Determine an expression using transformations of a function with a single variable input. | drfrostmaths.com/explorer.php?ssid=2303 | ||

432f | Secondary | Determine an expression for f(...) with more general algebraic inputs. | drfrostmaths.com/explorer.php?ssid=2302 | ||

432g | Secondary | Determine an expression for a combination of f(...) with different inputs. | drfrostmaths.com/explorer.php?ssid=2312 | ||

432h | Secondary | Determine an expression using transformations of a function with different inputs. | drfrostmaths.com/explorer.php?ssid=2313 | ||

432i | Secondary | Solve equations given in the form f(...) = k for more general algebraic inputs. | drfrostmaths.com/explorer.php?ssid=2321 | ||

432j | Secondary | Solve equations where the output of two functions is equated, leading to a linear equation. | drfrostmaths.com/explorer.php?ssid=2327 | ||

432k | Secondary | Solve equations where the output of two functions is equated, leading to a quadratic equation. | drfrostmaths.com/explorer.php?ssid=2328 | ||

433 | Secondary | Exam Practice: Graph representation of functions | drfrostmaths.com/explorer.php?ssid=539 | E433 | |

433a | Secondary | Determine the output of a function using a graph. | drfrostmaths.com/explorer.php?ssid=2102 | ||

433b | Secondary | Solve f(x) = k, for some fixed k, using a graph. | drfrostmaths.com/explorer.php?ssid=2103 | ||

433c | Secondary | Determine the range of values of k for which f(x) = k has a particular number of solutions. | drfrostmaths.com/explorer.php?ssid=2104 | ||

434 | Secondary | Exam Practice: Solving simple trigonometric equations, e.g. \sin(x) = k, using a graph | drfrostmaths.com/explorer.php?ssid=386 | E434 | |

434 | Exam Practice: Forces on connected particles in equilibrium, not on an inclined plane, using F = μR. | drfrostmaths.com/explorer.php?ssid=526 | E434 | ||

434a | Secondary | Determine the number of solutions of a trigonometric equation. | drfrostmaths.com/explorer.php?ssid=2098 | ||

434b | Secondary | Use a graph to solve equations given in the form \sin(x) = k or \cos(x) = k in the range 0 to 360 degrees. | drfrostmaths.com/explorer.php?ssid=2099 | ||

434c | Secondary | Use a graph to solve equations given in the form \tan(x) = k in the range 0 to 360 degrees. | drfrostmaths.com/explorer.php?ssid=2370 | ||

434d | Secondary | Use a graph to solve equations given in the form \sin(x) = k or \cos(x) = k in a range greater than 0 to 360 degrees. | drfrostmaths.com/explorer.php?ssid=1447 | K622 | |

434e | Secondary | Use a graph to solve equations given in the form \tan(x) = k in a range greater than 0 to 360 degrees. | drfrostmaths.com/explorer.php?ssid=2371 | ||

434f | Secondary | Use a graph to solve equations given in the form \tan(x) = k in a range greater than 0 to 360 degree, given only a graph for 0 to 360 degrees. | drfrostmaths.com/explorer.php?ssid=2100 | ||

434g | Secondary | Solve equations given in the form \sin(x) = \sin(k) | drfrostmaths.com/explorer.php?ssid=2101 | ||

434h | Secondary | Solve equations given in the form \sin(x) = -\sin(k) | drfrostmaths.com/explorer.php?ssid=2160 | ||

435 | Secondary | Exam Practice: Composite functions (excluding exponentials and modulus) | drfrostmaths.com/explorer.php?ssid=391 | https://www.youtube.com/embed/7Ksdo3zA448 | E435 |

435 | Exam Practice: Forces on connected particles in equilibrium, on an inclined plane/inclined forces, no F = μR. | drfrostmaths.com/explorer.php?ssid=527 | E435 | ||

435a | Secondary | Calculate the numeric output of a composite function. | drfrostmaths.com/explorer.php?ssid=1157 | https://www.youtube.com/embed/Cz5LaMAcSZc | K595 |

435b | Secondary | Determine the algebraic output of a composite function where both functions are linear. | drfrostmaths.com/explorer.php?ssid=1476 | K596 | |

435c | Secondary | Determine the algebraic output of a composite function where at least one function is quadratic. | drfrostmaths.com/explorer.php?ssid=1774 | ||

435d | Secondary | Determine the algebraic output of a composite function for more general functions. | drfrostmaths.com/explorer.php?ssid=5874 | ||

435e | Secondary | Identify the constituent functions that make up a composite function. | drfrostmaths.com/explorer.php?ssid=5875 | ||

435f | Secondary | Solve an equation involving a composite function, leading to a linear equation. | drfrostmaths.com/explorer.php?ssid=5876 | ||

435g | Secondary | Solve an equation involving a composite function, leading to a quadratic equation. | drfrostmaths.com/explorer.php?ssid=5877 | ||

435h | Secondary | Determine ff(x) for functions given in the form f(x) = \frac{ax+b}{cx+d} | drfrostmaths.com/explorer.php?ssid=5878 | ||

436 | Secondary | Exam Practice: Inverse functions (excluding exponentials and modulus) | drfrostmaths.com/explorer.php?ssid=390 | https://www.youtube.com/embed/TQNqHeAnfC8 | E436 |

436 | Exam Practice: Forces on connected particles in equilibrium, on an inclined plane/inclined forces, using F = μR. | drfrostmaths.com/explorer.php?ssid=528 | E436 | ||

436a | Secondary | Determine the inverse function for an expression with one operation. | drfrostmaths.com/explorer.php?ssid=5879 | ||

436b | Secondary | Determine the inverse function for a linear expression. | drfrostmaths.com/explorer.php?ssid=1073 | https://www.youtube.com/embed/B6Q8yjOTHIQ | K592 |

436c | Secondary | Determine the value of inverse function for a given input. | drfrostmaths.com/explorer.php?ssid=5880 | ||

436d | Secondary | Determine the inverse function wheref(x) = \frac{ax+b}{cx+d} | drfrostmaths.com/explorer.php?ssid=1179 | K887 | |

436e | Secondary | Determine the inverse function for a quadratic expression. | drfrostmaths.com/explorer.php?ssid=1738 | ||

436f | Secondary | Determine the inverse function of a composite function. | drfrostmaths.com/explorer.php?ssid=5881 | ||

436g | Secondary | Solve an equation involving both a composite and inverse function. | drfrostmaths.com/explorer.php?ssid=5882 | ||

436h | Secondary | Simplify f^{-1} f(x) and understand self-inverse functions. | drfrostmaths.com/explorer.php?ssid=5883 | ||

437 | Secondary | Exam Practice: Domain and range of simple functions | drfrostmaths.com/explorer.php?ssid=424 | E437 | |

437a | Secondary | Determine the range of a linear function for a given domain. | drfrostmaths.com/explorer.php?ssid=5884 | ||

437b | Secondary | Determine the range of values that should be excluded from the domain of a reciprocal function or root function. | drfrostmaths.com/explorer.php?ssid=5885 | ||

437c | Secondary | Determine the range of a quadratic function in completed square form. | drfrostmaths.com/explorer.php?ssid=5886 | ||

437d | Secondary | Determine the range of a quadratic function with a given domain. | drfrostmaths.com/explorer.php?ssid=5887 | ||

437e | Secondary | Determine the domain or range of a function in graph form. | drfrostmaths.com/explorer.php?ssid=5888 | ||

438 | Secondary | Exam Practice: Properties of functions | drfrostmaths.com/explorer.php?ssid=4321 | E438 | |

438a | Secondary | Recognise odd functions and even functions from their graphs. | drfrostmaths.com/explorer.php?ssid=5889 | ||

438b | Secondary | Determine if a function is odd, even or neither from its algebraic definition. | drfrostmaths.com/explorer.php?ssid=5890 | ||

438c | Secondary | Recognise periodic functions from their graphs. | drfrostmaths.com/explorer.php?ssid=5891 | ||

439 | Secondary | Exam Practice: Trial and improvement to approximate a solution to an equation | drfrostmaths.com/explorer.php?ssid=352 | E439 | |

439a | Secondary | Use trial and improvement to approximate a solution to an equation given in the form f(x)=k | drfrostmaths.com/explorer.php?ssid=5892 | ||

439b | Secondary | Use trial and improvement to approximate a solution to an equation formed from a given context. | drfrostmaths.com/explorer.php?ssid=5893 | ||

440 | Secondary | Exam Practice: General iterative processes | drfrostmaths.com/explorer.php?ssid=4322 | E440 | |

440a | Secondary | Use a general iterative formula given an initial value. | drfrostmaths.com/explorer.php?ssid=5894 | ||

440b | Secondary | Write an iterative formula from a given context. | drfrostmaths.com/explorer.php?ssid=5895 | ||

440c | Secondary | Use an iterative formula to generate a periodic sequence and solve problems using the periodicity. | drfrostmaths.com/explorer.php?ssid=5896 | ||

440d | Secondary | Determine an unknown in an iterative formula using two given values. | drfrostmaths.com/explorer.php?ssid=5897 | ||

441 | Secondary | Exam Practice: Fixed point iteration to approximate a solution to an equation | drfrostmaths.com/explorer.php?ssid=393 | E441 | |

441a | Secondary | Rearrange an equation into the form x = g(x) ('fixed point iteration') for subsequent use in an iterative method. | drfrostmaths.com/explorer.php?ssid=5898 | ||

441b | Secondary | Appreciate the significance of a sign change in identifying an interval for the root of an equation. | drfrostmaths.com/explorer.php?ssid=5899 | ||

441c | Secondary | Approximate a solution to an equation using (fixed point) iteration. | drfrostmaths.com/explorer.php?ssid=1147 | K589 | |

442 | Secondary | Exam Practice: Circle theorems | drfrostmaths.com/explorer.php?ssid=129 | https://www.youtube.com/embed/3XCiG7Rp4dk | E442 |

442 | Exam Practice: Calculus in kinematics for motion in a straight line, in 2 dimensions. | drfrostmaths.com/explorer.php?ssid=446 | E442 | ||

442a | Secondary | Know that the angle at the centre is twice the angle at the circumference. | drfrostmaths.com/explorer.php?ssid=677 | https://www.youtube.com/embed/h23Wd7rlzgU | K645 |

442b | Secondary | Know that angles in the same segment are equal. | drfrostmaths.com/explorer.php?ssid=693 | https://www.youtube.com/embed/CMIWlpGl67A | K646 |

442c | Secondary | Know that the angle in a semicircle is 90 degrees. | drfrostmaths.com/explorer.php?ssid=694 | https://www.youtube.com/embed/ldBN402lMd4 | K643 |

442d | Secondary | Know that opposite angles in a cyclic quadrilateral add to 180. | drfrostmaths.com/explorer.php?ssid=695 | https://www.youtube.com/embed/nfAFJ58EGiA | K647 |

442e | Secondary | Know that the angle between a tangent and the radius at the point of contact is 90. | drfrostmaths.com/explorer.php?ssid=696 | https://www.youtube.com/embed/KAnczfcZFDY | K644 |

442f | Secondary | Know that the angle between the tangent and a chord is equal to the angle in the alternate segment (alternate segment theorem / tangent-chord theorem). | drfrostmaths.com/explorer.php?ssid=697 | https://www.youtube.com/embed/QHEO78L0HUo | K648 |

442g | Secondary | Know that tangents which meet at the same point are equal in length (possibly involving other circle theorems). | drfrostmaths.com/explorer.php?ssid=1697 | ||

442h | Secondary | Use Pythagoras' theorem alongside circle theorems. | drfrostmaths.com/explorer.php?ssid=1562 | https://www.youtube.com/embed/PHYNjY6Sw50 | K744 |

442i | Secondary | Determine an angle in an arrowhead centred at the circle centre. | drfrostmaths.com/explorer.php?ssid=2221 | ||

442j | Secondary | Use the theorems: angle at the centre is double the angle at the circumference and the radii of a circle are equal in length. | drfrostmaths.com/explorer.php?ssid=1693 | https://www.youtube.com/embed/X3AhiZZIgnA | |

442k | Secondary | Use the theorems: the angle between tangent and radius is 90 and radii of a circle are equal in length. | drfrostmaths.com/explorer.php?ssid=2026 | ||

442l | Secondary | Use the theorems: the angle at the centre is double the angle at circumference and the angle between a radius and a tangent is 90, using a quadrilateral inside the circle. | drfrostmaths.com/explorer.php?ssid=2030 | ||

442m | Secondary | Use the theorems: the angle at the centre is double the angle at the circumference and the angle between a radius and a tangent is 90, using a quadrilateral outside the circle. | drfrostmaths.com/explorer.php?ssid=2040 | ||

442n | Secondary | Use the theorems: the angle at the centre is double the angle at the circumference and angles in a cyclic quadrilateral add to 180. | drfrostmaths.com/explorer.php?ssid=2050 | ||

442o | Secondary | Use the theorems: angles in same segment are equal and an angle in a semicircle is 90. | drfrostmaths.com/explorer.php?ssid=2053 | ||

442p | Secondary | Use the theorems: angles in a cyclic quadrilateral add to 180 and an angle in a semicircle is 90. | drfrostmaths.com/explorer.php?ssid=2070 | ||

442q | Secondary | Use the theorems: the angle at the centre is double the angle at the circumference and the alternate segment theorem. | drfrostmaths.com/explorer.php?ssid=2079 | ||

442r | Secondary | Use the theorems: the angle between a radius and a tangent is 90 and the alternate segment theorem. | drfrostmaths.com/explorer.php?ssid=2091 | ||

442s | Secondary | Use the theorems: opposite angles of cyclic quadrilateral add to 180 and the alternate segment theorem. | drfrostmaths.com/explorer.php?ssid=2092 | ||

442t | Secondary | Use the theorems: opposite angles of cyclic quadrilateral add to 180 and the alternate segment theorem, with an isosceles triangle. | drfrostmaths.com/explorer.php?ssid=2175 | ||

442u | Secondary | Use parallel lines combined with the theorems: opposite angles in a cyclic quadrilateral add to 180 and alternate segment theorem. | drfrostmaths.com/explorer.php?ssid=2245 | ||

442v | Secondary | Solve problems involving triangles intersecting to form a cyclic quadrilateral. | drfrostmaths.com/explorer.php?ssid=2252 | ||

442w | Secondary | Form a linear equation using the theorems: the angle at the centre is double the angle at the circumference and angles in a cyclic quadrilateral add to 180. | drfrostmaths.com/explorer.php?ssid=5900 | ||

442x | Secondary | Use a cyclic quadrilateral to form linear simultaneous equations. | drfrostmaths.com/explorer.php?ssid=5901 | ||

442y | Secondary | Use a circle inscribed inside a triangle to determine other lengths of the triangle. | drfrostmaths.com/explorer.php?ssid=5902 | ||

442z | Secondary | Determine the angle between a tangent and an extended side. | drfrostmaths.com/explorer.php?ssid=5903 | ||

443 | Secondary | Exam Practice: Intersecting chord and intersecting secant theorems | drfrostmaths.com/explorer.php?ssid=423 | https://www.youtube.com/embed/Bua6NRzcF5Y | E443 |

443a | Secondary | Use the intersecting chord theorem to determine an unknown length. | drfrostmaths.com/explorer.php?ssid=1461 | K669 | |

443b | Secondary | Use the intersecting chord theorem to determine the radius of a circle. | drfrostmaths.com/explorer.php?ssid=5904 | ||

443c | Secondary | Use the intersecting secant theorem to form and solve a linear equation. | drfrostmaths.com/explorer.php?ssid=1462 | K670 | |

443d | Secondary | Use the intersecting secant theorem to form and solve a quadratic equation. | drfrostmaths.com/explorer.php?ssid=5905 | ||

443e | Secondary | Combine the intersecting chord and intersecting secant theorems. | drfrostmaths.com/explorer.php?ssid=5906 | ||

444 | Secondary | Exam Practice: Proofs of circle theorems | drfrostmaths.com/explorer.php?ssid=4323 | E444 | |

444a | Secondary | Prove that the angle at the centre of a circle is twice the angle at the circumference. | drfrostmaths.com/explorer.php?ssid=5907 | ||

444b | Secondary | Prove that angles in the same segment are equal. | drfrostmaths.com/explorer.php?ssid=5908 | ||

444c | Secondary | Prove that opposite angles of a cyclic quadrilateral add to 180^\circ | drfrostmaths.com/explorer.php?ssid=5909 | ||

444d | Secondary | Prove the alternate segment theorem / tangent-chord theorem. | drfrostmaths.com/explorer.php?ssid=5910 | ||

444e | Secondary | Prove the intersecting chord theorem. | drfrostmaths.com/explorer.php?ssid=5911 | ||

444f | Secondary | Prove the intersecting secant theorem. | drfrostmaths.com/explorer.php?ssid=5912 | ||

445 | A Level, Secondary | Exam Practice: Equations of perpendicular lines | drfrostmaths.com/explorer.php?ssid=94 | https://www.youtube.com/embed/zEHxOjR7mmQ | E445 |

445a | Secondary, A Level | Determine the gradient of a line perpendicular to another with a given gradient. | drfrostmaths.com/explorer.php?ssid=1647 | ||

445b | Secondary, A Level | Determine whether two lines are perpendicular given their equations (no rearrangement). | drfrostmaths.com/explorer.php?ssid=1379 | https://www.youtube.com/embed/-pqSlgOR0lk | K576 |

445c | Secondary, A Level | Determine whether two lines are perpendicular given their equations (rearrangement required). | drfrostmaths.com/explorer.php?ssid=1380 | https://www.youtube.com/embed/ZowrDc5jZrg | K577 |

445d | A Level, Secondary | Find an equation of a line perpendicular to another that passes through a given point. | drfrostmaths.com/explorer.php?ssid=737 | https://www.youtube.com/embed/eC9uFJy84uw | K578 |

445e | A Level, Secondary | Find an equation of a line perpendicular to another that passes through a given point (rearrangement required). | drfrostmaths.com/explorer.php?ssid=5913 | ||

445f | A Level, Secondary | Determine the equation of a line perpendicular to another line that passes through two given points. | drfrostmaths.com/explorer.php?ssid=5914 | ||

445g | Secondary, A Level | Determine the equation of an altitude of a triangle. | drfrostmaths.com/explorer.php?ssid=5915 | ||

445h | Secondary, A Level | Determine the equation of the perpendicular bisector of two points, or the diagonal of a kite given the other. | drfrostmaths.com/explorer.php?ssid=5916 | ||

445i | Secondary, A Level | Solve problems involving the intersection of perpendicular lines with the coordinate axes. | drfrostmaths.com/explorer.php?ssid=5917 | ||

445j | A Level, Secondary | Determine the equation of the diagonal of a kite given the coordinates of the vertices on the other diagonal. | drfrostmaths.com/explorer.php?ssid=5918 | ||

445k | A Level, Secondary | Determine the coordinates of a point on a kite given one diagonal and another point. | drfrostmaths.com/explorer.php?ssid=5919 | ||

445l | Secondary, A Level | Determine the area of a rectangle whose diagonal is a coordinate axis. | drfrostmaths.com/explorer.php?ssid=5920 | ||

445m | Secondary, A Level | Show that points make geometric shapes when connected using gradients of parallel and perpendicular lines and their lengths. | drfrostmaths.com/explorer.php?ssid=5921 | ||

445n | Secondary, A Level | Determine the area of a triangle given the coordinates of its three vertices, by finding the perpendicular to a line that goes through two of the vertices. | drfrostmaths.com/explorer.php?ssid=5922 | ||

446 | Secondary | Exam Practice: Graphs of circles centred at the origin | drfrostmaths.com/explorer.php?ssid=97 | https://www.youtube.com/embed/kKBGlZ0lhNU | E446 |

446a | Secondary | Appreciate that a point on the circumference of a circle satisfies its equation. | drfrostmaths.com/explorer.php?ssid=2200 | ||

446b | Secondary | Plot the graph of a circle centred at the origin. | drfrostmaths.com/explorer.php?ssid=1098 | https://www.youtube.com/embed/9m2IjCNw9XQ | K417 |

446c | Secondary | Determine the radius of a circle given its equation. | drfrostmaths.com/explorer.php?ssid=1426 | https://www.youtube.com/embed/fpX2t1P4U9I | K420 |

446d | Secondary | Determine the equation of a circle centred at the origin given its radius. | drfrostmaths.com/explorer.php?ssid=1044 | https://www.youtube.com/embed/c5JH6BVO_ro | K419 |

446e | Secondary | Determine the equation of a circle centred at the origin which is drawn. | drfrostmaths.com/explorer.php?ssid=1042 | https://www.youtube.com/embed/qc1cxIR4rPk | K418 |

446f | Secondary | Determine the equation of a circle centred at the origin, using a point given on the circumference. | drfrostmaths.com/explorer.php?ssid=2205 | ||

446g | Secondary | Determine an area or circumference of a circle centred at the origin given its equation. | drfrostmaths.com/explorer.php?ssid=2206 | ||

446h | Secondary | Determine the equation of a circle centred at the origin given its area or circumference. | drfrostmaths.com/explorer.php?ssid=2207 | ||

446i | Secondary | Determine an area or perimeter of a portion of an annulus, given the equations of the circles centred at the origin. | drfrostmaths.com/explorer.php?ssid=2210 | ||

447 | Secondary | Exam Practice: Equation of a tangent to a circle centred at the origin | drfrostmaths.com/explorer.php?ssid=389 | https://www.youtube.com/embed/N1j0BmTxwVM | E447 |

447a | Secondary | Determine the equation of a tangent to a circle centred at the origin. | drfrostmaths.com/explorer.php?ssid=1404 | https://www.youtube.com/embed/5nlVm8NXrTM | K579 |

447b | Secondary | Determine the x-intercept or y-intercept of a tangent to a circle centred at the origin. | drfrostmaths.com/explorer.php?ssid=1977 | https://www.youtube.com/embed/pCMQ-WgftWs | |

447c | Secondary | Determine the area of a triangle formed by a tangent to a circle centred at the origin. | drfrostmaths.com/explorer.php?ssid=1978 | https://www.youtube.com/embed/gWg3YgSdxEs | |

448 | A Level, Secondary | Exam Practice: Graph transformations of y = f(x+a) and y = f(x) + a | drfrostmaths.com/explorer.php?ssid=95 | https://www.youtube.com/embed/rZDKPySPHwM | E448 |

448a | Secondary, A Level | Sketch the graph y = f(x + a) given the graph of y = f(x) | drfrostmaths.com/explorer.php?ssid=5923 | ||

448b | A Level, Secondary | Sketch the graph y = f(x) + a given the graph of y = f(x) | drfrostmaths.com/explorer.php?ssid=5924 | ||

448c | Secondary, A Level | Understand the effect on a point under the transformation y = f(x + a) | drfrostmaths.com/explorer.php?ssid=779 | https://www.youtube.com/embed/tVeSBMpVIOk | K585 |

448d | Secondary, A Level | Understand the effect on a point under the transformation y = f(x) + a | drfrostmaths.com/explorer.php?ssid=780 | https://www.youtube.com/embed/Jr_gbVwmReY | K586 |

448e | A Level, Secondary | Apply transformations y=f(x+a) and y=f(x)+a in a table. | drfrostmaths.com/explorer.php?ssid=1769 | ||

448f | A Level, Secondary | Sketch the graphs of trigonometric functions y=\sin(x)+a or y=\sin(x+a) | drfrostmaths.com/explorer.php?ssid=2353 | ||

448g | A Level, Secondary | Determine the equation in f(x) after a translation of a given graph to f(x)+a and f(x+a) | drfrostmaths.com/explorer.php?ssid=2352 | ||

448h | A Level, Secondary | Determine the new equation of a function after a translation by \begin{pmatrix}a\\0\end{pmatrix} or \begin{pmatrix}0\\a\end{pmatrix} | drfrostmaths.com/explorer.php?ssid=2333 | ||

449 | Secondary, A Level | Exam Practice: Graph transformations of y = f(-x) and y = -f(x) | drfrostmaths.com/explorer.php?ssid=544 | E449 | |

449a | A Level, Secondary | Sketch a graph of y = -f(x) given the graph of y = f(x) | drfrostmaths.com/explorer.php?ssid=2143 | ||

449b | A Level, Secondary | Sketch a graph of y = f(-x) given the graph of y = f(x) | drfrostmaths.com/explorer.php?ssid=2163 | ||

449c | Secondary, A Level | Understand the effect on a point under the transformation y = -f(x) | drfrostmaths.com/explorer.php?ssid=968 | https://www.youtube.com/embed/Da_56RdYKGw | K587 |

449d | A Level, Secondary | Understand the effect on a point under the transformation y = f(-x) | drfrostmaths.com/explorer.php?ssid=2165 | ||

449e | Secondary, A Level | Sketch the graphs of trigonometric functions y=-\sin(x) or y=\sin(-x) | drfrostmaths.com/explorer.php?ssid=2261 | ||

449f | A Level, Secondary | Determine the equation in f(x) notation after a reflection of a given graph in one axis only. | drfrostmaths.com/explorer.php?ssid=2275 | ||

449g | A Level, Secondary | DELETED DECOMMISSIONED Determine the equation of a new curve given a transformation drawn on a graph. | drfrostmaths.com/explorer.php?ssid=1086 | https://www.youtube.com/embed/kUS9_of2JRE | K588 |

449g | A Level, Secondary | Determine the new equation of a function after a reflection in one axis only. | drfrostmaths.com/explorer.php?ssid=5925 | ||

450 | Secondary, A Level | Exam Practice: Graph transformations of y = f(ax) and y = af(x) (dilations) | drfrostmaths.com/explorer.php?ssid=543 | E450 | |

450a | A Level, Secondary | Sketch a graph of y = af(x) given the graph of y = f(x), where a>0 | drfrostmaths.com/explorer.php?ssid=2167 | ||

450b | A Level, Secondary | Sketch a graph of y = f(ax) given the graph of y = f(x), where a>0 | drfrostmaths.com/explorer.php?ssid=2166 | ||

450c | A Level, Secondary | Sketch a graph of y = af(x) given the graph of y = f(x), where a<0 | drfrostmaths.com/explorer.php?ssid=2259 | ||

450d | Secondary, A Level | Sketch a graph of y = f(ax) given the graph of y = f(x), where a<0 | drfrostmaths.com/explorer.php?ssid=2260 | ||

450e | Secondary, A Level | Understand the effect on a point under the transformation y = af(x) | drfrostmaths.com/explorer.php?ssid=2183 | ||

450f | Secondary, A Level | DELETED Determine the equation of simple graph transformations using f(x) notation. | drfrostmaths.com/explorer.php?ssid=1094 | K776 | |

450f | Secondary, A Level | Understand the effect on a point under the transformation y = f(ax) | drfrostmaths.com/explorer.php?ssid=2184 | ||

450g | Secondary, A Level | DELETED Apply a single transformation to more complex functions. | drfrostmaths.com/explorer.php?ssid=1095 | K777 | |

450g | Secondary, A Level | Apply transformations y=f(ax) and y=af(x) in a table. | drfrostmaths.com/explorer.php?ssid=5926 | ||

450h | A Level, Secondary | DELETED Apply a single transformation to simple functions. | drfrostmaths.com/explorer.php?ssid=1176 | K778 | |

450h | A Level, Secondary | Sketch the graphs of trigonometric functions y = a\sin(x) or y = \sin(ax) | drfrostmaths.com/explorer.php?ssid=2188 | ||

450i | A Level, Secondary | Determine the new equation in f(x) notation after the transformation of a given graph to y=af(x) or y=f(ax) | drfrostmaths.com/explorer.php?ssid=2233 | ||

450j | A Level, Secondary | Determine the new equation of a function after a scaling transformation y=f(ax) or y=af(x) | drfrostmaths.com/explorer.php?ssid=5927 | ||

451 | A Level, Secondary | Exam Practice: Combinations of graph transformations | drfrostmaths.com/explorer.php?ssid=4324 | E451 | |

451a | Secondary, A Level | Sketch the graph y = f(x + a) + b given the graph of y = f(x) | drfrostmaths.com/explorer.php?ssid=2298 | ||

451b | A Level, Secondary | Sketch the graph y = af(bx) given the graph of y = f(x) | drfrostmaths.com/explorer.php?ssid=5928 | ||

451c | Secondary, A Level | Sketch the graph af(x)+b, af(x+b) and f(ax)+b given the graph of y = f(x) | drfrostmaths.com/explorer.php?ssid=2316 | ||

451d | A Level, Secondary | Sketch the graph of a trigonometric function given in the form y = \sin(x + a) + b | drfrostmaths.com/explorer.php?ssid=1513 | K714 | |

451e | A Level, Secondary | Sketch the graph of a trigonometric function given in the form y = a\sin(bx) | drfrostmaths.com/explorer.php?ssid=5929 | ||

451f | A Level, Secondary | Sketch the graph of a trigonometric function given in the form y = a\sin(x+b), y = a\sin(x)+b or y = \sin(ax)+b | drfrostmaths.com/explorer.php?ssid=5930 | ||

451g | A Level, Secondary | Determine the constants of a trigonometric function given in the form y = a\sin(x+b), y =a\sin(bx)+c or y = a\sin(x+b) + c given its sketch. | drfrostmaths.com/explorer.php?ssid=2199 | ||

451h | Secondary, A Level | Determine the equation in f(x) notation after a translation of a given graph to y = f(x + a) + b | drfrostmaths.com/explorer.php?ssid=5931 | ||

451i | Secondary, A Level | Determine the equation in f(x) notation after the transformation of a given graph to y = af(bx) | drfrostmaths.com/explorer.php?ssid=5932 | ||

451j | A Level, Secondary | Determine the equation in f(x) notation after the transformation of a given graph to y = af(x)+b, y = af(x+b) or y = f(ax)+b | drfrostmaths.com/explorer.php?ssid=5933 | ||

451k | A Level, Secondary | Determine the new equation of a function after a translation by a given vector \begin{pmatrix}a\\b\end{pmatrix} | drfrostmaths.com/explorer.php?ssid=5934 | ||

451l | A Level, Secondary | Determine the new equation of a function after transformations given in the form y = af(bx) | drfrostmaths.com/explorer.php?ssid=5935 | ||

451m | Secondary, A Level | Determine the new equation of a function after a combination of transformations, y = af(x)+b, y = af(x+b) and y = f(ax)+b | drfrostmaths.com/explorer.php?ssid=5936 | ||

452 | A Level, Secondary | Exam Practice: Graphs of root functions | drfrostmaths.com/explorer.php?ssid=4325 | E452 | |

452a | Secondary, A Level | Sketch the graph of y=x^{1/2} or y=\sqrt{x} | drfrostmaths.com/explorer.php?ssid=5937 | ||

452b | Secondary, A Level | Sketch the graph of y=ax^{1/2} or y=a\sqrt{x} | drfrostmaths.com/explorer.php?ssid=5938 | ||

452c | A Level, Secondary | Sketch the graph of y=ax^{-1/2} or y=\frac{a}{\sqrt{x}} | drfrostmaths.com/explorer.php?ssid=5939 | ||

452d | A Level, Secondary | Sketch a graph of y = a\sqrt{x+b} | drfrostmaths.com/explorer.php?ssid=5940 | ||

452e | A Level, Secondary | Sketch a graph of y = a\sqrt[3]{x+b} | drfrostmaths.com/explorer.php?ssid=5941 | ||

453 | Secondary | Exam Practice: Testing conjectures and identifying counterexamples | drfrostmaths.com/explorer.php?ssid=101 | https://www.youtube.com/embed/BW9oKyy3eEg | E453 |

453 | Exam Practice: Add, subtract and multiply matrices of any size. | drfrostmaths.com/explorer.php?ssid=172 | E453 | ||

453a | Secondary | Give a counterexample to show that a conjecture is false using properties of numbers. | drfrostmaths.com/explorer.php?ssid=5942 | ||

453b | Secondary | Determine which conjecture is disproved by a given counterexample. | drfrostmaths.com/explorer.php?ssid=5943 | ||

453c | Secondary | Determine a counterexample by substitution into an algebraic expression. | drfrostmaths.com/explorer.php?ssid=5944 | ||

453d | Secondary | Consider the validity of algebraic statements, given constraints on the variables. | drfrostmaths.com/explorer.php?ssid=5945 | ||

453e | Secondary | Use algebraic and numeric properties to determine whether a statement is true. | drfrostmaths.com/explorer.php?ssid=5946 | ||

454 | Secondary | Exam Practice: Algebraic proofs involving integers | drfrostmaths.com/explorer.php?ssid=102 | https://www.youtube.com/embed/cIiw609iT-Y | E454 |

454a | Secondary | Identify expressions that represent a multiple of an integer. | drfrostmaths.com/explorer.php?ssid=1148 | https://www.youtube.com/embed/aqjIo8YN-nU | K598 |

454b | Secondary | Identify expressions that represent odd/even integers. | drfrostmaths.com/explorer.php?ssid=1150 | https://www.youtube.com/embed/Foy09qSi0iU | K597 |

454c | Secondary | Use expressions for consecutive integers. | drfrostmaths.com/explorer.php?ssid=1151 | https://www.youtube.com/embed/WWi1JZWWVbc | K599 |

454d | Secondary | Use expressions for consecutive odd/even integers. | drfrostmaths.com/explorer.php?ssid=1152 | https://www.youtube.com/embed/Pz-JPOTUlMs | K600 |

454e | Secondary | Use expressions for different odd/even integers, not necessarily consecutive. | drfrostmaths.com/explorer.php?ssid=2234 | ||

454f | Secondary | Prove that a given algebraic expression is always odd/even. | drfrostmaths.com/explorer.php?ssid=1149 | https://www.youtube.com/embed/eyAW0tE6gwY | K601 |

454g | Secondary | Prove that a given algebraic expression is always a multiple of a number. | drfrostmaths.com/explorer.php?ssid=2225 | ||

454h | Secondary | Prove that a sum of consecutive integers has some given property. | drfrostmaths.com/explorer.php?ssid=2229 | ||

454i | Secondary | Prove that the sum or difference of the squares of consecutive integers has some given property. | drfrostmaths.com/explorer.php?ssid=2235 | ||

454j | Secondary | Prove that a sum of consecutive odd or even integers has some given property. | drfrostmaths.com/explorer.php?ssid=2236 | ||

454k | Secondary | Prove that a sum of the squares of consecutive odd or even integers has some given property. | drfrostmaths.com/explorer.php?ssid=2241 | ||

454l | Secondary | Prove a property about some arithmetic combination of two different odd/even numbers, not necessarily consecutive. | drfrostmaths.com/explorer.php?ssid=2243 | ||

454m | Secondary | Prove a property about some combination of more than two different odd/even numbers, not necessarily consecutive, and a relationship between them. | drfrostmaths.com/explorer.php?ssid=2250 | ||

454n | Secondary | Form and solve an equation using relationships between consecutive integers/evens/odds. | drfrostmaths.com/explorer.php?ssid=2249 | ||

454o | Secondary | Prove that an algebraic expression is a perfect square. | drfrostmaths.com/explorer.php?ssid=2256 | ||

455 | Secondary | Exam Practice: Equating coefficients in an identity f(x) \equiv g(x) | drfrostmaths.com/explorer.php?ssid=577 | E455 | |

455a | Secondary | Equate coefficients to determine constants in an identity. | drfrostmaths.com/explorer.php?ssid=1541 | https://www.youtube.com/embed/aJmIHTmGo6Q | K737 |

455b | Secondary | Equate coefficients to determine constants in an identity requiring two single bracket expansions. | drfrostmaths.com/explorer.php?ssid=1542 | https://www.youtube.com/embed/zFya8CW8pb4 | K738 |

455c | Secondary | Equate coefficients to determine constants in an identity requiring expanding double brackets. | drfrostmaths.com/explorer.php?ssid=2019 | ||

455d | Secondary | Equate coefficients to determine constants in an identity, involving a combination of single and double bracket expansions. | drfrostmaths.com/explorer.php?ssid=2033 | ||

456 | Secondary | Exam Practice: Inequalities in two variables, including their representation on a plane. | drfrostmaths.com/explorer.php?ssid=353 | https://www.youtube.com/embed/iln-BONbRz0 | E456 |

456a | Secondary | Identify a region in 2D indicated by one inequality in two variables. | drfrostmaths.com/explorer.php?ssid=1158 | K604 | |

456b | Secondary | Identify regions in 2D indicated by two inequalities in two variables given in the form x < a or y < a | drfrostmaths.com/explorer.php?ssid=1515 | https://www.youtube.com/embed/MtDWoFaSj3E | K716 |

456c | Secondary | Identify regions in 2D indicated by two inequalities in two variables, where at least one is linear. | drfrostmaths.com/explorer.php?ssid=5947 | ||

456d | Secondary | Identify regions in 2D indicated by three or more inequalities in two variables. | drfrostmaths.com/explorer.php?ssid=1516 | https://www.youtube.com/embed/MrhvFclpk7U | K717 |

456e | Secondary | Consider possible solutions to a one-ended linear inequality in two variables, given information about one or both variables. | drfrostmaths.com/explorer.php?ssid=5948 | ||

456f | Secondary | Consider possible solutions to a two-ended linear inequality in two variables, given information about one or both variables. | drfrostmaths.com/explorer.php?ssid=5949 | ||

456g | Secondary | Determine a fixed number of integer solutions which satisfy a given set of inequalities in two variables. | drfrostmaths.com/explorer.php?ssid=5950 | ||

456h | Secondary | State the maximum or minimum value of an expression related to one or more inequalities in two variables shown on a graph. | drfrostmaths.com/explorer.php?ssid=5951 | ||

456i | Secondary | Determine the missing inequality in two variables given an enclosed area and the other inequalities that satisfy it. | drfrostmaths.com/explorer.php?ssid=5952 | ||

456j | Secondary | Determine the inequalities in two variables represented by an area on a graph. | drfrostmaths.com/explorer.php?ssid=5953 | ||

456k | Secondary | Form a one-ended linear inequality in two variables from a given context. | drfrostmaths.com/explorer.php?ssid=5954 | ||

456l | Secondary | Form a two-ended linear inequality in two variables from a given context. | drfrostmaths.com/explorer.php?ssid=5955 | ||

456m | Secondary | Form a set of inequalities in two variables from a given context and determine a solution set. | drfrostmaths.com/explorer.php?ssid=5956 | ||

456n | Secondary | Consider the validity of related inequalities in two variables, given others known to be true. | drfrostmaths.com/explorer.php?ssid=5957 | ||

457 | Secondary | Exam Practice: Set builder notation | drfrostmaths.com/explorer.php?ssid=4326 | E457 | |

457a | Secondary | Use set notation to represent a single one-ended or two-ended range of values for a variable. | drfrostmaths.com/explorer.php?ssid=5958 | ||

457b | Secondary | Use set notation to represent multiple ranges of values for a variable. | drfrostmaths.com/explorer.php?ssid=5959 | ||

457c | Secondary | Use set notation to represent more advanced discrete sets, e.g. odd numbers. | drfrostmaths.com/explorer.php?ssid=5960 | ||

458 | A Level, Secondary | Exam Practice: Solving quadratic inequalities | drfrostmaths.com/explorer.php?ssid=86 | https://www.youtube.com/embed/NfxMCCrwcJY | E458 |

458a | Secondary, A Level | Solve quadratic inequalities given in the form x^2 + bx + c > 0 or x^2 + bx + c < 0 | drfrostmaths.com/explorer.php?ssid=937 | https://www.youtube.com/embed/BkU2ct9_T5o | K602 |

458b | Secondary, A Level | Solve quadratic inequalities given in the form x^2 + bx> 0 or x^2 + bx < 0 | drfrostmaths.com/explorer.php?ssid=5961 | ||

458c | Secondary, A Level | Solve quadratic inequalities given in the form x^2 - a^2> 0 or x^2 - a^2 < 0 | drfrostmaths.com/explorer.php?ssid=5962 | ||

458d | A Level, Secondary | Solve inequalities requiring rearrangement to the form x^2 + bx + c > 0 or x^2 + bx + c < 0 | drfrostmaths.com/explorer.php?ssid=1974 | https://www.youtube.com/embed/tPiWCrLw8sw | |

458e | Secondary, A Level | Solve inequalities requiring expanding brackets and rearrangement to the form x^2 + bx + c > 0 or x^2 + bx + c < 0 | drfrostmaths.com/explorer.php?ssid=5963 | ||

458f | A Level, Secondary | Solve quadratic inequalities given in the form ax^2 + bx + c > 0 or ax^2 + bx + c < 0 | drfrostmaths.com/explorer.php?ssid=5964 | ||

458g | Secondary, A Level | Solve quadratic inequalities requiring rearrangement to the form ax^2 + bx + c > 0 or ax^2 + bx + c < 0 | drfrostmaths.com/explorer.php?ssid=936 | https://www.youtube.com/embed/2onyWoJIk9k | K603 |

458h | Secondary, A Level | Solve quadratic inequalities requiring expanding brackets and rearrangement to the form ax^2 + bx + c > 0 or ax^2 + bx + c < 0 | drfrostmaths.com/explorer.php?ssid=5965 | ||

458i | Secondary, A Level | Solve quadratic inequalities given in the form ax^2 > bx or ax^2 < bx | drfrostmaths.com/explorer.php?ssid=5966 | ||

458j | Secondary, A Level | Solve quadratic inequalities given in the form ax^2 > b or ax^2 < b | drfrostmaths.com/explorer.php?ssid=1975 | https://www.youtube.com/embed/LlrFQi3xdxY | |

458k | Secondary, A Level | Solve quadratic inequalities given in the form -x^2 + bx + c > 0 or -x^2 + bx + c < 0 | drfrostmaths.com/explorer.php?ssid=1976 | https://www.youtube.com/embed/P_dONvKtsNc | |

458l | Secondary, A Level | Solve quadratic inequalities given in the form f(x) < g(x), where at least one of these expressions is quadratic. | drfrostmaths.com/explorer.php?ssid=5967 | ||

458m | Secondary, A Level | Solve quadratic inequalities involving a division by a positive algebraic expression. | drfrostmaths.com/explorer.php?ssid=1796 | https://www.youtube.com/embed/Ms886WTYZ9A | |

458n | Secondary, A Level | Express the solution of a quadratic inequality using set notation. | drfrostmaths.com/explorer.php?ssid=5968 | ||

458o | Secondary, A Level | Combine a linear and a quadratic inequality. | drfrostmaths.com/explorer.php?ssid=1797 | https://www.youtube.com/embed/Ik21a78Vt0c | |

458p | A Level, Secondary | Form and solve a quadratic inequality to find the terms in a quadratic sequence that fulfil certain criteria. | drfrostmaths.com/explorer.php?ssid=5969 | ||

459 | Secondary | Exam Practice: Understanding and drawing speed-time graphs | drfrostmaths.com/explorer.php?ssid=396 | E459 | |

459a | Secondary | Determine the maximum and minimum speed reached on a speed-time graph. | drfrostmaths.com/explorer.php?ssid=5970 | ||

459b | Secondary | Determine when a speed-time graph shows uniform acceleration, uniform deceleration or maintaining a constant speed. | drfrostmaths.com/explorer.php?ssid=5971 | ||

459c | Secondary | Draw a speed-time graph given information about speed and time only. | drfrostmaths.com/explorer.php?ssid=1061 | https://www.youtube.com/embed/t_SHL6gNU9w | K860 |

459d | Secondary | Calculate an acceleration with a speed-time graph using gradient. | drfrostmaths.com/explorer.php?ssid=1160 | K551 | |

459e | Secondary | Draw a speed-time graph given information about acceleration. | drfrostmaths.com/explorer.php?ssid=5972 | ||

459f | Secondary | Determine unknown values on the axes of a speed-time graph given information about the acceleration. | drfrostmaths.com/explorer.php?ssid=5973 | ||

459g | Secondary | Calculate the distance from a speed-time graph of an object which is accelerating or decelerating only. | drfrostmaths.com/explorer.php?ssid=5974 | ||

459h | Secondary | Calculate the total distance from a speed-time graph. | drfrostmaths.com/explorer.php?ssid=1065 | https://www.youtube.com/embed/j4-6kbB5XZ0 | K546 |

459i | Secondary | Determine the time on a speed-time graph given the total displacement. | drfrostmaths.com/explorer.php?ssid=1067 | K862 | |

459j | Secondary | Determine an unknown speed on a speed-time graph given the total distance. | drfrostmaths.com/explorer.php?ssid=5975 | ||

459k | Secondary | Solve problems involving two overlapping speed-time graphs where one object overtakes another. | drfrostmaths.com/explorer.php?ssid=5976 | ||

460 | Secondary | Exam Practice: Estimating area under a curved graph | drfrostmaths.com/explorer.php?ssid=401 | https://www.youtube.com/embed/VxPXdHipOrE | E460 |

460a | Secondary | Estimate the area under a curved graph between two x values, where the strip is drawn. | drfrostmaths.com/explorer.php?ssid=8277 | ||

460b | Secondary | Estimate the area under a curved graph between two x values, where the strip is not drawn. | drfrostmaths.com/explorer.php?ssid=8278 | ||

460c | Secondary | Estimate the area under a curved graph using a given number of strips of equal width, where these are drawn. | drfrostmaths.com/explorer.php?ssid=5977 | ||

460d | Secondary | Estimate the area under a curved graph using a given number of strips of equal width, where these are not drawn. | drfrostmaths.com/explorer.php?ssid=5978 | ||

460e | Secondary | State whether an estimated area under a curve is an overestimate or an underestimate. | drfrostmaths.com/explorer.php?ssid=5979 | ||

460f | Secondary | Estimate the distance using a speed-time graph, where the strips are drawn. | drfrostmaths.com/explorer.php?ssid=1410 | https://www.youtube.com/embed/JuLqkQ2HaCg | K547 |

460g | Secondary | Determine whether an estimated distance is an overestimate or an underestimate. | drfrostmaths.com/explorer.php?ssid=5980 | ||

460h | Secondary | Estimate the distance using a speed-time graph, where the strips are not drawn. | drfrostmaths.com/explorer.php?ssid=1409 | https://www.youtube.com/embed/JuLqkQ2HaCg | K548 |

460i | Secondary | Interpret the area under a curved graph in contexts outside of speed-time graphs. | drfrostmaths.com/explorer.php?ssid=5981 | ||

461 | Secondary | Exam Practice: Estimating the gradient of a curve | drfrostmaths.com/explorer.php?ssid=422 | https://www.youtube.com/embed/5JI780BoDzU | E461 |

461a | Secondary | Estimate the gradient of a curve between two given points (average rate of change). | drfrostmaths.com/explorer.php?ssid=5982 | ||

461b | Secondary | Estimate the gradient of a curve at a given point (instantaneous rate of change). | drfrostmaths.com/explorer.php?ssid=1145 | K550 | |

461c | Secondary | Estimate the gradient of a curve in context as an average rate of change of a quantity. | drfrostmaths.com/explorer.php?ssid=5983 | ||

461d | Secondary | Estimate the gradient of a curve in context as an instantaneous rate of change of a quantity. | drfrostmaths.com/explorer.php?ssid=5984 | ||

461e | Secondary | Estimate the average speed between two times from a curved distance-time graph. | drfrostmaths.com/explorer.php?ssid=5985 | ||

461f | Secondary | Estimate a velocity at a given time from a curved distance-time graph. | drfrostmaths.com/explorer.php?ssid=5986 | ||

461g | Secondary | Estimate the average acceleration between two times from a curved speed-time graph. | drfrostmaths.com/explorer.php?ssid=5987 | ||

461h | Secondary | Estimate the acceleration at a given time from a curved speed-time graph. | drfrostmaths.com/explorer.php?ssid=5988 | ||

461i | Secondary | Interpret the gradient of a curve in contexts outside of speed-time graphs. | drfrostmaths.com/explorer.php?ssid=5989 | ||

462 | Secondary | Exam Practice: Solving equations involving fractions that lead to a quadratic equation | drfrostmaths.com/explorer.php?ssid=500 | E462 | |

462a | Secondary | Solve an equation requiring multiplication by a single algebraic term, leading to a quadratic equation. | drfrostmaths.com/explorer.php?ssid=1965 | https://www.youtube.com/embed/U1VDJmhZb-k | |

462b | Secondary | Solve an equation with a single algebraic fraction on one side of the equation, leading to a quadratic equation. | drfrostmaths.com/explorer.php?ssid=1966 | https://www.youtube.com/embed/WwCYFMOBPiw | |

462c | Secondary | Solve an equation with a single algebraic fraction on each side of the equation, leading to a quadratic equation. | drfrostmaths.com/explorer.php?ssid=1967 | https://www.youtube.com/embed/4DbJuBardTg | |

462d | Secondary | Solve an equation requiring addition or subtraction of algebraic fractions, leading to a quadratic equation. | drfrostmaths.com/explorer.php?ssid=1156 | https://www.youtube.com/embed/xbXhOyn6zic | K614 |

462e | Secondary | Solve simultaneous equations/systems of equations with variables in the denominators of the fractions of one of the equations. | drfrostmaths.com/explorer.php?ssid=5990 | ||

463 | Secondary | Exam Practice: Algebraic probability problems involving independent/dependent events | drfrostmaths.com/explorer.php?ssid=511 | https://www.youtube.com/embed/yJva4ph-KEE | E463 |

463a | Secondary | Give an expression for the probability of a single choice given algebraic frequencies. | drfrostmaths.com/explorer.php?ssid=5991 | ||

463b | Secondary | Give an expression for the probability of a single chain of outcomes involving algebraic frequencies. | drfrostmaths.com/explorer.php?ssid=5992 | ||

463c | Secondary | Give an expression for the probability of multiple chains of outcomes involving algebraic frequencies. | drfrostmaths.com/explorer.php?ssid=5993 | ||

463d | Secondary | Form and solve a linear equation where a choice is made from two separate groups with an unknown in one. | drfrostmaths.com/explorer.php?ssid=5994 | ||

463e | Secondary | Form an equation using sampling without replacement. | drfrostmaths.com/explorer.php?ssid=829 | https://www.youtube.com/embed/THQEajeUa24 | K628 |

463f | Secondary | Form an equation using sampling without replacement where there are multiple chains of outcomes. | drfrostmaths.com/explorer.php?ssid=5995 | ||

463g | Secondary | Form and solve an equation using sampling without replacement where a difference is given between two quantities. | drfrostmaths.com/explorer.php?ssid=5996 | ||

464 | Secondary | Exam Practice: Problem solving with ratios | drfrostmaths.com/explorer.php?ssid=535 | E464 | |

464a | Secondary | Write a ratio as a linear function. | drfrostmaths.com/explorer.php?ssid=1442 | K201 | |

464b | Secondary | Form and solve an equation using equivalent ratios, where one is algebraic. | drfrostmaths.com/explorer.php?ssid=5997 | ||

464c | Secondary | Form and solve an equation using equivalent ratios, where both are algebraic. | drfrostmaths.com/explorer.php?ssid=5998 | ||

464d | Secondary | Determine an amount given a change in a ratio where one part is changing. | drfrostmaths.com/explorer.php?ssid=1250 | https://www.youtube.com/embed/Ge2aPe9XJH8 | K696 |

464e | Secondary | Determine an amount given a change in a ratio where two parts are changing. | drfrostmaths.com/explorer.php?ssid=1293 | https://www.youtube.com/embed/vjKJz3h2ycA | K697 |

465 | Secondary, A Level | Exam Practice: Sine rule (Law of Sines) and cosine rule (Law of Cosines) to determine lengths in a non-right angled triangle | drfrostmaths.com/explorer.php?ssid=150 | https://www.youtube.com/embed/oMf2TA9XMSM | E465 |

465a | Secondary, A Level | Use the sine rule/Law of Sines to determine unknown sides in non right-angled triangles. | drfrostmaths.com/explorer.php?ssid=764 | https://www.youtube.com/embed/KcZW0bXhyyk | K633 |

465b | A Level, Secondary | Use the cosine rule/Law of Cosines to determine unknown sides in non right-angled triangles. | drfrostmaths.com/explorer.php?ssid=767 | https://www.youtube.com/embed/sToDr67fVl0 | K636 |

465c | Secondary, A Level | Use the sine and/or cosine rule to solve a multistep problem (two triangles) | drfrostmaths.com/explorer.php?ssid=1654 | ||

465d | Secondary, A Level | Determine the perimeter of a compound shape consisting of a sector and a triangle. | drfrostmaths.com/explorer.php?ssid=5999 | ||

465e | A Level, Secondary | DELETED DECOMMISSIONED Use the sine rule and cosine rule within a single triangle. | drfrostmaths.com/explorer.php?ssid=1287 | https://www.youtube.com/embed/7o8CnrKMEyM | K638 |

465e | Secondary, A Level | Use the cosine rule/Law of Cosines on algebraic sides to determine the value of a variable. | drfrostmaths.com/explorer.php?ssid=6000 | ||

465f | A Level, Secondary | Prove the sine rule (Law of Sines) and cosine rule (Law of Cosines). | drfrostmaths.com/explorer.php?ssid=6001 | ||

466 | Secondary, A Level | Exam Practice: Sine rule (Law of Sines) and cosine rule (Law of Cosines) to determine angles in a non-right angled triangle | drfrostmaths.com/explorer.php?ssid=149 | https://www.youtube.com/embed/pYjmT5W0Kwk | E466 |

466a | Secondary, A Level | Use the sine rule/Law of Sines to determine acute angles in non right-angled triangles. | drfrostmaths.com/explorer.php?ssid=765 | https://www.youtube.com/embed/YnOk-JO4jlU | K634 |

466b | Secondary, A Level | Use the sine rule/Law of Sines to determine obtuse angles in non right-angled triangles. | drfrostmaths.com/explorer.php?ssid=766 | https://www.youtube.com/embed/S473tphsHi4 | K635 |

466c | Secondary, A Level | Use the cosine rule/Law of Cosines to determine unknown angles in non right-angled triangles. | drfrostmaths.com/explorer.php?ssid=768 | https://www.youtube.com/embed/xM4dAaTTK0c | K637 |

466d | Secondary, A Level | DELETED DECOMMISSIONED Use the sine rule to find missing sides and angles (including the ambiguous case). | drfrostmaths.com/explorer.php?ssid=1053 | K794 | |

466e | Secondary, A Level | Determine the largest or smallest angle of a triangle given its sides. | drfrostmaths.com/explorer.php?ssid=6002 | ||

466f | Secondary, A Level | DELETED DECOMMISSIONED Use the cosine rule to find missing sides and angles (including the ambiguous case). | drfrostmaths.com/explorer.php?ssid=1070 | K795 | |

466g | Secondary, A Level | Use the sine rule/Law of Sines and cosine rule/Law of Cosines within a single triangle. | drfrostmaths.com/explorer.php?ssid=1585 | https://www.youtube.com/embed/7o8CnrKMEyM | K760 |

467 | A Level, Secondary | Exam Practice: Area of a triangle using two lengths and the angle between them | drfrostmaths.com/explorer.php?ssid=151 | https://www.youtube.com/embed/JfoyDWUFWLo | E467 |

467a | Secondary, A Level | Calculate the area of a triangle using two lengths and the included angle. | drfrostmaths.com/explorer.php?ssid=770 | https://www.youtube.com/embed/DW-yixJRMVk | K639 |

467b | Secondary, A Level | Calculate the area of a parallelogram using two lengths and the included angle. | drfrostmaths.com/explorer.php?ssid=6003 | ||

467c | Secondary, A Level | Calculate the area of a kite using two lengths and the included angle. | drfrostmaths.com/explorer.php?ssid=6004 | ||

467d | Secondary, A Level | Calculate the area of a triangle using two lengths and an angle not included between the two sides. | drfrostmaths.com/explorer.php?ssid=1423 | https://www.youtube.com/embed/cR3HT9cuKuk | K640 |

467e | A Level, Secondary | Determine an expression for the area of a triangle given algebraic sides. | drfrostmaths.com/explorer.php?ssid=6005 | ||

467f | A Level, Secondary | Calculate a length of a triangle given its area, another length and the included angle. | drfrostmaths.com/explorer.php?ssid=6006 | ||

467g | Secondary, A Level | Calculate the length of the side opposite an angle in a triangle, using its area and another side. | drfrostmaths.com/explorer.php?ssid=6007 | ||

467h | Secondary, A Level | Calculate an angle in a triangle given two sides and the area. | drfrostmaths.com/explorer.php?ssid=1771 | ||

467i | Secondary, A Level | Calculate the area of a segment of a circle, given the radius of the circle and the angle. | drfrostmaths.com/explorer.php?ssid=1527 | K722 | |

467j | Secondary, A Level | Calculate the area of a segment of a circle, given the radius of the circle and chord length. | drfrostmaths.com/explorer.php?ssid=1526 | K723 | |

467k | A Level, Secondary | Calculate the length of an arc given the area of the segment. | drfrostmaths.com/explorer.php?ssid=1528 | K724 | |

467l | Secondary, A Level | Calculate the area of a triangle using its side lengths only. | drfrostmaths.com/explorer.php?ssid=6008 | ||

467m | Secondary, A Level | Determine the area of a compound shape consisting of a triangle and sector. | drfrostmaths.com/explorer.php?ssid=6009 | ||

467n | A Level, Secondary | Determine the area of a triangle by finding a length shared with another triangle. | drfrostmaths.com/explorer.php?ssid=6010 | ||

467o | A Level, Secondary | Determine the area of a quadrilateral given the area of one of its constituent triangles. | drfrostmaths.com/explorer.php?ssid=6011 | ||

467p | Secondary, A Level | Determine the area of a hexagon given its side lengths and some of its angles. | drfrostmaths.com/explorer.php?ssid=6012 | ||

467q | A Level, Secondary | Determine the shaded area in overlapping circles. | drfrostmaths.com/explorer.php?ssid=1565 | K745 | |

468 | Secondary | Exam Practice: Advanced formulae for area involving side lengths only | drfrostmaths.com/explorer.php?ssid=4327 | E468 | |

468a | Secondary | Calculate the area of a triangle using Heron's formula. | drfrostmaths.com/explorer.php?ssid=6013 | ||

468b | Secondary | Calculate the area of a cyclic quadrilateral using Brahmagupta's formula. | drfrostmaths.com/explorer.php?ssid=6014 | ||

469 | Secondary | Exam Practice: Bearings problems involving non-right-angled trigonometry | drfrostmaths.com/explorer.php?ssid=508 | E469 | |

469a | Secondary | Use the cosine rule/Law of Cosines to determine a bearing. | drfrostmaths.com/explorer.php?ssid=2257 | ||

469b | Secondary | Use the cosine rule/Law of Cosines to determine a distance in a bearing problem. | drfrostmaths.com/explorer.php?ssid=1472 | K672 | |

469c | Secondary | Use the sine rule/Law of Sines to determine a bearing. | drfrostmaths.com/explorer.php?ssid=2263 | ||

469d | Secondary | Use the sine rule/Law of Sines to determine a distance in a bearing problem. | drfrostmaths.com/explorer.php?ssid=2295 | ||

469e | Secondary | Use the sine and cosine rules (Laws of Sines/Cosines) to determine a bearing. | drfrostmaths.com/explorer.php?ssid=2296 | ||

469f | Secondary | Use the sine and cosine rules (Laws of Sines/Cosines) to determine a distance in a bearing problem. | drfrostmaths.com/explorer.php?ssid=2335 | ||

469g | Secondary | Determine an enclosed area in a bearings problem. | drfrostmaths.com/explorer.php?ssid=2336 | ||

470 | Secondary | Exam Practice: 3D shape problems involving non-right-angled trigonometry | drfrostmaths.com/explorer.php?ssid=4328 | E470 | |

470a | Secondary | Determine a missing side length in a 3D shape using sine and/or cosine rules (Law of Sines/Cosines). | drfrostmaths.com/explorer.php?ssid=6015 | ||

470b | Secondary | Determine a missing side length in a triangular prism using trigonometry and the area of a triangle. | drfrostmaths.com/explorer.php?ssid=6016 | ||

470c | Secondary | Determine an angle in the sloped plane of a right-angled tetrahedron. | drfrostmaths.com/explorer.php?ssid=6017 | ||

470d | Secondary | Determine the angle between the altitude of a sloped face and a diagonal across the base of a pyramid. | drfrostmaths.com/explorer.php?ssid=6018 | ||

470e | Secondary | Determine the area of a plane within a 3D shape. | drfrostmaths.com/explorer.php?ssid=6019 | ||

471 | Secondary | Exam Practice: Proving triangle congruence using SSS, SAS, ASA and RHS | drfrostmaths.com/explorer.php?ssid=141 | https://www.youtube.com/embed/dTbbETfstgI | E471 |

471a | Secondary | Prove that two triangles are congruent using SSS. | drfrostmaths.com/explorer.php?ssid=1129 | K629 | |

471b | Secondary | Prove that two triangles are congruent using ASA. | drfrostmaths.com/explorer.php?ssid=1130 | K630 | |

471c | Secondary | Prove that two triangles are congruent using SAS. | drfrostmaths.com/explorer.php?ssid=1131 | K631 | |

471d | Secondary | Prove that two triangles are congruent using RHS. | drfrostmaths.com/explorer.php?ssid=1132 | K632 | |

472 | A Level, Secondary | Exam Practice: Magnitude of a column vector | drfrostmaths.com/explorer.php?ssid=267 | E472 | |

472a | A Level, Secondary | Calculate the magnitude of a 2D column vector. | drfrostmaths.com/explorer.php?ssid=1057 | https://www.youtube.com/embed/_Y--NQL2FWY | K650 |

472b | A Level, Secondary | Determine the magnitude of a scalar multiple of a 2D column vector. | drfrostmaths.com/explorer.php?ssid=6020 | ||

472c | Secondary, A Level | Determine an unknown value in a 2D column vector given the magnitude. | drfrostmaths.com/explorer.php?ssid=6021 | ||

473 | Secondary, A Level | Exam Practice: Vectors using variables | drfrostmaths.com/explorer.php?ssid=268 | E473 | |

473a | A Level, Secondary | Determine a vector between two points using an appropriate path. | drfrostmaths.com/explorer.php?ssid=1068 | K652 | |

473b | A Level, Secondary | Determine a vector involving a midpoint. | drfrostmaths.com/explorer.php?ssid=1069 | K653 | |

473c | Secondary, A Level | Determine a vector involving a fraction of the distance between two points. | drfrostmaths.com/explorer.php?ssid=1071 | K654 | |

473d | Secondary, A Level | Determine a vector involving half of a subroute. | drfrostmaths.com/explorer.php?ssid=6022 | ||

473e | Secondary, A Level | Determine a vector involving a fraction of a subroute. | drfrostmaths.com/explorer.php?ssid=6023 | ||

473f | A Level, Secondary | Determine a vector when one vector is extended out by a ratio. | drfrostmaths.com/explorer.php?ssid=6024 | ||

474 | Secondary, A Level | Exam Practice: Parallel vectors and straight line proofs using vectors | drfrostmaths.com/explorer.php?ssid=270 | E474 | |

474a | Secondary, A Level | Determine if two vectors are parallel. | drfrostmaths.com/explorer.php?ssid=6025 | ||

474b | A Level, Secondary | Determine an unknown constant in a vector that is parallel to another. | drfrostmaths.com/explorer.php?ssid=6026 | ||

474c | Secondary, A Level | Prove that two vectors in a diagram are parallel. | drfrostmaths.com/explorer.php?ssid=1162 | K655 | |

474d | Secondary, A Level | Prove that three points are collinear using vector variables. | drfrostmaths.com/explorer.php?ssid=1161 | K656 | |

474e | Secondary, A Level | Prove that three points are colinear using column vectors. | drfrostmaths.com/explorer.php?ssid=6027 | ||

475 | A Level, Secondary | Exam Practice: Solving vector problems by introduction of a scalar | drfrostmaths.com/explorer.php?ssid=4329 | E475 | |

475a | A Level, Secondary | Determine a vector by equating coefficients for two different scalars/routes. | drfrostmaths.com/explorer.php?ssid=6028 | ||

475b | A Level, Secondary | Determine a ratio by writing a vector using two different scalars/routes. | drfrostmaths.com/explorer.php?ssid=6029 | ||

475c | Secondary, A Level | Determine a ratio of vectors by extending out a vector. | drfrostmaths.com/explorer.php?ssid=1564 | K993 | |

476 | Secondary | Exam Practice: Statistical fallacies | drfrostmaths.com/explorer.php?ssid=4330 | E476 | |

476a | Secondary | Recognise common examples of incorrect reasoning in probability. | drfrostmaths.com/explorer.php?ssid=6030 | ||

476b | Secondary | Recognise situations where regression to the mean may occur. | drfrostmaths.com/explorer.php?ssid=6031 | ||

477 | Secondary | Exam Practice: Risk | drfrostmaths.com/explorer.php?ssid=4331 | E477 | |

477a | Secondary | Calculate the absolute risk of an event. | drfrostmaths.com/explorer.php?ssid=6032 | ||

477b | Secondary | Calculate the relative risk of an event. | drfrostmaths.com/explorer.php?ssid=6033 | ||

477c | Secondary | Use a two-way table to compare relative risk. | drfrostmaths.com/explorer.php?ssid=6034 | ||

478 | Secondary | Exam Practice: Cost-benefit and risk analysis | drfrostmaths.com/explorer.php?ssid=4332 | E478 | |

478a | Secondary | Calculate expected profit or loss of company or individual. | drfrostmaths.com/explorer.php?ssid=6035 | ||

478b | Secondary | Calculate expected profit or loss for a given game. | drfrostmaths.com/explorer.php?ssid=6036 | ||

478c | Secondary | Calculate expected gains and losses given a control measure. | drfrostmaths.com/explorer.php?ssid=6037 | ||

478d | Secondary | Decide if an insurance policy should be taken by considering the cost and benefits. | drfrostmaths.com/explorer.php?ssid=6038 | ||

478e | Secondary | Evaluate and decide on a course of action considering the expected costs and benefits of different options. | drfrostmaths.com/explorer.php?ssid=6039 | ||

479 | Secondary | Exam Practice: Comparative pie charts | drfrostmaths.com/explorer.php?ssid=4333 | E479 | |

479a | Secondary | Understand when it is relevant to use comparative pie charts. | drfrostmaths.com/explorer.php?ssid=6040 | ||

479b | Secondary | Calculate the radius of a second pie chart using \frac{r_{2}^2}{r_{1}^2}=\frac{F_{2}}{F_{1}} | drfrostmaths.com/explorer.php?ssid=6041 | ||

479c | Secondary | Draw a pair of comparative pie charts. | drfrostmaths.com/explorer.php?ssid=6042 | ||

479d | Secondary | Calculate the total frequency of a given data set given the comparative radii. | drfrostmaths.com/explorer.php?ssid=6043 | ||

479e | Secondary | Calculate the frequency of a given sector in a comparative pie chart. | drfrostmaths.com/explorer.php?ssid=6044 | ||

479f | Secondary | Compare two sets of data using comparative pie charts. | drfrostmaths.com/explorer.php?ssid=6045 | ||

480 | Secondary | Exam Practice: Population pyramids | drfrostmaths.com/explorer.php?ssid=4334 | E480 | |

480a | Secondary | Draw a population pyramid. | drfrostmaths.com/explorer.php?ssid=6046 | ||

480b | Secondary | Read a population pyramid. | drfrostmaths.com/explorer.php?ssid=6047 | ||

480c | Secondary | Compare two sets of data using a population pyramid. | drfrostmaths.com/explorer.php?ssid=6048 | ||

480d | Secondary | Make inferences about a population based on the shape of a population pyramid. | drfrostmaths.com/explorer.php?ssid=6049 | ||

481 | Secondary | Exam Practice: Choropleth maps | drfrostmaths.com/explorer.php?ssid=4335 | E481 | |

481a | Secondary | Complete a choropleth map using a given key. | drfrostmaths.com/explorer.php?ssid=6050 | ||

481b | Secondary | Read a choropleth map using a given key. | drfrostmaths.com/explorer.php?ssid=6051 | ||

481c | Secondary | Compare choropleth maps. | drfrostmaths.com/explorer.php?ssid=6052 | ||

482 | Secondary | Exam Practice: Heat maps | drfrostmaths.com/explorer.php?ssid=4336 | E482 | |

482a | Secondary | Read a value off a heat map. | drfrostmaths.com/explorer.php?ssid=6053 | ||

482b | Secondary | Determine the colour/intensity of a region to use on a heat map given its value. | drfrostmaths.com/explorer.php?ssid=6054 | ||

482c | Secondary | Make inferences from data by interpreting a heat map. | drfrostmaths.com/explorer.php?ssid=6055 | ||

483 | Exam Practice: Derive and use logarithmic forms of inverse hyperbolic functions. | drfrostmaths.com/explorer.php?ssid=253 | E483 | ||

483 | Secondary | Exam Practice: Bubble charts | drfrostmaths.com/explorer.php?ssid=4337 | E483 | |

483a | Secondary | Read the value represented by a bubble on a bubble chart. | drfrostmaths.com/explorer.php?ssid=6056 | ||

483b | Secondary | Determine the size of the bubble required on a bubble chart. | drfrostmaths.com/explorer.php?ssid=6057 | ||

484 | Secondary | Exam Practice: Birth and death rates | drfrostmaths.com/explorer.php?ssid=4338 | E484 | |

484a | Secondary | Calculate crude birth and death rates. | drfrostmaths.com/explorer.php?ssid=6058 | ||

484b | Secondary | Calculate the number or births or deaths given the rate for a population. | drfrostmaths.com/explorer.php?ssid=6059 | ||

484c | Secondary | Understand the limitations of crude rates. | drfrostmaths.com/explorer.php?ssid=6060 | ||

484d | Secondary | Determine the standard population for different strata. | drfrostmaths.com/explorer.php?ssid=6061 | ||

484e | Secondary | Calculate standardised rates of change. | drfrostmaths.com/explorer.php?ssid=6062 | ||

484f | Secondary | Compare rates of change across a population using standardised rates. | drfrostmaths.com/explorer.php?ssid=6063 | ||

485 | A Level, Secondary | Exam Practice: Solving hidden quadratic equations (no logs or trigonometric functions) | drfrostmaths.com/explorer.php?ssid=181 | E485 | |

485a | A Level, Secondary | Solve a hidden quadratic equation given in the form x^n by substitution. | drfrostmaths.com/explorer.php?ssid=951 | K771 | |

485b | Secondary, A Level | Solve a hidden quadratic equation given in the form x^n by substitution, that requires multiplying through by x^2. | drfrostmaths.com/explorer.php?ssid=1170 | K772 | |

485c | A Level, Secondary | Solve an equation involving algebraic powers, leading to a quadratic equation. | drfrostmaths.com/explorer.php?ssid=6064 | ||

485d | A Level, Secondary | Solve a hidden quadratic equation involving exponentials (no log solutions). | drfrostmaths.com/explorer.php?ssid=1066 | K773 | |

486 | Secondary | Exam Practice: Simultaneous equations/systems of equations involving 3 variables | drfrostmaths.com/explorer.php?ssid=484 | E486 | |

486a | Secondary | Solve simultaneous equations/systems of equations with 3 variables, by eliminating a given term. | drfrostmaths.com/explorer.php?ssid=6065 | ||

486b | Secondary | Solve simultaneous equations/systems of equations with 3 variables. | drfrostmaths.com/explorer.php?ssid=1926 | ||

486c | Secondary | Form and solve simultaneous equations/systems of equations with 3 unknown values. | drfrostmaths.com/explorer.php?ssid=6066 | ||

487 | Secondary | Exam Practice: Piecewise functions | drfrostmaths.com/explorer.php?ssid=445 | E487 | |

487a | Secondary | Use a piecewise function to find an output for a specific input. | drfrostmaths.com/explorer.php?ssid=1812 | ||

487b | Secondary | Sketch a piecewise function involving linear segments. | drfrostmaths.com/explorer.php?ssid=1817 | ||

487c | Secondary | Determine the component functions of a sketched piecewise function. | drfrostmaths.com/explorer.php?ssid=1826 | ||

487d | Secondary | Determine the number of solutions to f(x) = k where the function is piecewise. | drfrostmaths.com/explorer.php?ssid=1852 | ||

487e | Secondary | Solve equations given in the form f(x) = k when the function is piecewise. | drfrostmaths.com/explorer.php?ssid=1853 | ||

487f | Secondary | Determine the range of a piecewise function. | drfrostmaths.com/explorer.php?ssid=1856 | ||

487g | Secondary | Determine a piecewise function given knowledge of its range. | drfrostmaths.com/explorer.php?ssid=1857 | ||

487h | Secondary | Determine the area enclosed under a piecewise function with linear segments. | drfrostmaths.com/explorer.php?ssid=1860 | ||

488 | Secondary | Exam Practice: Stepwise functions | drfrostmaths.com/explorer.php?ssid=4339 | E488 | |

488a | Secondary | Determine an output of a step function using a graph. | drfrostmaths.com/explorer.php?ssid=6067 | ||

488b | Secondary | Determine an output of a step function defined algebraically piecewise. | drfrostmaths.com/explorer.php?ssid=6068 | ||

488c | Secondary | Determine the range of a step function defined algebraically piecewise. | drfrostmaths.com/explorer.php?ssid=6069 | ||

488d | Secondary | Sketch a step function using a single algebraic expression that makes use of the floor function (greatest integer function) or ceiling functions. | drfrostmaths.com/explorer.php?ssid=6070 | ||

489 | Secondary | Exam Practice: Dimensional analysis | drfrostmaths.com/explorer.php?ssid=428 | E489 | |

489a | Secondary | Propose a formula to calculate a quantity given its unit. | drfrostmaths.com/explorer.php?ssid=6071 | ||

489b | Secondary | Determine the dimensions of a quantity in a formula, given the dimensions of the other variables/constants. | drfrostmaths.com/explorer.php?ssid=6072 | ||

489c | Secondary | Use dimensional analysis to determine unknown indices in a proposed formula. | drfrostmaths.com/explorer.php?ssid=6073 | ||

490 | Secondary | Exam Practice: Dealing with logical true-false statements (Boolean algebra) | drfrostmaths.com/explorer.php?ssid=374 | E490 | |

490a | Secondary | Evaluate a simple expression involving a single Boolean operator. | drfrostmaths.com/explorer.php?ssid=6074 | ||

490b | Secondary | Complete a truth table for a single Boolean operator. | drfrostmaths.com/explorer.php?ssid=6075 | ||

490c | Secondary | Evaluate an expression involving two or more Boolean operators. | drfrostmaths.com/explorer.php?ssid=6076 | ||

490d | Secondary | Complete a truth table involving three or more variables. | drfrostmaths.com/explorer.php?ssid=6077 | ||

490e | Secondary | Prove the equivalence of expressions with up to 3 variables. | drfrostmaths.com/explorer.php?ssid=6078 | ||

491 | Secondary | Exam Practice: Syllogisms and tautologies | drfrostmaths.com/explorer.php?ssid=4340 | E491 | |

491a | Secondary | Understand the terminology of syllogisms, including the major premise, minor premise and conclusion. | drfrostmaths.com/explorer.php?ssid=6079 | ||

491b | Secondary | Reason about the distribution of subjects and predicates in propositions such as "All X are Y" and "Some X are not Y". | drfrostmaths.com/explorer.php?ssid=6080 | ||

491c | Secondary | Determine whether a syllogism involving distribution of items is logically valid. | drfrostmaths.com/explorer.php?ssid=6081 | ||

491d | Secondary | Use the Law of Syllogisms and Law of Detachment (modus ponens) for conditional statements. | drfrostmaths.com/explorer.php?ssid=6082 | ||

491e | Secondary | Identify when a statement is a tautology (including common types) or a contradiction. | drfrostmaths.com/explorer.php?ssid=6083 | ||

492 | A Level, Secondary | Exam Practice: Discriminant of a quadratic function | drfrostmaths.com/explorer.php?ssid=185 | https://www.youtube.com/embed/ponJzpfss9U | E492 |

492a | A Level, Secondary | Calculate the discriminant of a quadratic function with numeric coefficients. | drfrostmaths.com/explorer.php?ssid=1828 | ||

492b | A Level, Secondary | Use the discriminant of a simple quadratic function to determine the number of solutions to an equation. | drfrostmaths.com/explorer.php?ssid=1829 | ||

492c | A Level, Secondary | Understand the relationship between the discriminant of a quadratic function and its sketch. | drfrostmaths.com/explorer.php?ssid=1834 | ||

492d | A Level, Secondary | Determine the discriminant of a quadratic function with algebraic coefficients. | drfrostmaths.com/explorer.php?ssid=1869 | ||

492e | A Level, Secondary | Use the discriminant to reason about the number of solutions of a factorised cubic. | drfrostmaths.com/explorer.php?ssid=1880 | ||

492f | A Level, Secondary | Use the discriminant to determine the values for algebraic coefficients in a quadratic function, where there are equal roots. | drfrostmaths.com/explorer.php?ssid=1884 | ||

492g | A Level, Secondary | Use the discriminant to determine the values for algebraic coefficients in a quadratic function, where there are no roots or distinct roots. | drfrostmaths.com/explorer.php?ssid=933 | K770 | |

492h | A Level, Secondary | Use the discriminant to determine the values for algebraic coefficients in a quadratic function, requiring rearrangement. | drfrostmaths.com/explorer.php?ssid=1898 | ||

492i | A Level, Secondary | Use the discriminant to determine when a straight line is tangent to a quadratic graph. | drfrostmaths.com/explorer.php?ssid=1755 | ||

492j | A Level, Secondary | Prove that a quadratic with algebraic coefficients always has either distinct or no solutions. | drfrostmaths.com/explorer.php?ssid=8330 | ||

493 | Secondary, A Level | Exam Practice: Graphs of more general reciprocal functions | drfrostmaths.com/explorer.php?ssid=540 | E493 | |

493a | A Level, Secondary | Identify the x and y intercepts of a more general reciprocal function. | drfrostmaths.com/explorer.php?ssid=6084 | ||

493b | Secondary, A Level | Identify the equation of the vertical asymptote of a more general reciprocal function. | drfrostmaths.com/explorer.php?ssid=1808 | ||

493c | Secondary, A Level | Identify the equation of the horizontal asymptote of a more general reciprocal function. | drfrostmaths.com/explorer.php?ssid=6085 | ||

493d | A Level, Secondary | Sketch reciprocal functions given in the form y = a + \frac{b}{cx + d} | drfrostmaths.com/explorer.php?ssid=1809 | ||

493e | Secondary, A Level | Sketch graphs given in the form y = \frac{a}{x^2} | drfrostmaths.com/explorer.php?ssid=6086 | ||

493f | Secondary, A Level | Sketch reciprocal functions given in the form y = \frac{ax + b}{cx + d} | drfrostmaths.com/explorer.php?ssid=6087 | ||

493g | Secondary, A Level | Determine coefficients in a more general reciprocal function that lead to a given x or y intercept. | drfrostmaths.com/explorer.php?ssid=6088 | ||

493h | A Level, Secondary | Determine coefficients in a more general reciprocal function that lead to a given vertical or horizontal asymptote. | drfrostmaths.com/explorer.php?ssid=6089 | ||

494 | A Level | Exam Practice: Graphs of polynomials of order 3 or more, particularly cubic and quartic functions | drfrostmaths.com/explorer.php?ssid=186 | https://www.youtube.com/embed/KwLJd1rTMtQ | E494 |

494a | A Level | Recognise the shape of a cubic graph where the equation is in factorised form (including cubics with a stationary point of inflection). | drfrostmaths.com/explorer.php?ssid=1767 | ||

494b | A Level | Identify the intercepts of a cubic with the coordinate axes, where the equation is factorised. | drfrostmaths.com/explorer.php?ssid=1763 | ||

494c | A Level | Sketch the graph of a cubic function that requires factorising. | drfrostmaths.com/explorer.php?ssid=1764 | ||

494d | A Level | Identify the factorised equation of a sketched cubic graph. | drfrostmaths.com/explorer.php?ssid=1803 | ||

494e | A Level | Identify the expanded equation of a sketched cubic graph. | drfrostmaths.com/explorer.php?ssid=1766 | ||

494f | A Level | Sketch the graph of a quartic function where the function is in factorised form (including quartics with a stationary point of inflection). | drfrostmaths.com/explorer.php?ssid=1765 | ||

494g | A Level | Sketch the graph of a quintic function where the function is in factorised form. | drfrostmaths.com/explorer.php?ssid=6090 | ||

495 | A Level | Exam Practice: Using the formula y-y_1 = m(x-x_1) to find the equation of a straight line | drfrostmaths.com/explorer.php?ssid=195 | https://www.youtube.com/embed/qvoIpfd_JB4 | E495 |

495 | Exam Practice: Cartesian and parametric equations for a parabola, ellipse and hyperbola. | drfrostmaths.com/explorer.php?ssid=263 | E495 | ||

495a | A Level | Determine an equation of a straight line given the gradient and one point using y-y_1=m(x-x_1) | drfrostmaths.com/explorer.php?ssid=1109 | https://www.youtube.com/embed/QyRT_gshY9E | K779 |

495b | A Level | Determine an equation of a straight line, in the form ax + by = c, parallel to another using y-y_1=m(x-x_1) | drfrostmaths.com/explorer.php?ssid=1111 | https://www.youtube.com/embed/inbI5b-Lac4 | K781 |

495c | A Level | Determine an equation of a straight line, in the form ax + by = c, given two points using y-y_1=m(x-x_1) | drfrostmaths.com/explorer.php?ssid=1110 | https://www.youtube.com/embed/AEgUYEDdvBc | K780 |

495d | A Level | Find an equation of a straight line, in the form ax + by = c, perpendicular to another using y-y_1=m(x-x_1) | drfrostmaths.com/explorer.php?ssid=1112 | https://www.youtube.com/embed/eC9uFJy84uw | K782 |

495e | A Level | Determine the equation of the perpendicular bisector of a line using y-y_1=m(x-x_1) | drfrostmaths.com/explorer.php?ssid=1046 | K783 | |

495f | A Level | Determine the area of a triangle enclosed by an axis and two intersecting lines. | drfrostmaths.com/explorer.php?ssid=1177 | K784 | |

495g | A Level | Determine the area of a quadrilateral enclosed by both axes and two intersecting lines. | drfrostmaths.com/explorer.php?ssid=6091 | ||

495h | A Level | Determine the equation of a line for a given context using y-y_1=m(x-x_1) | drfrostmaths.com/explorer.php?ssid=1927 | ||

495i | A Level | Determine the area of a triangle given by 3 coordinates, given the equation of a line between two of them. | drfrostmaths.com/explorer.php?ssid=6092 | ||

496 | A Level, Secondary | Exam Practice: Coordinate geometry on circles and the equation of a circle with any centre | drfrostmaths.com/explorer.php?ssid=196 | https://www.youtube.com/embed/0P9LdIjAjAw | E496 |

496 | Exam Practice: Focus-directrix properties of a parabola, ellipse and hyperbola, including the eccentricity. | drfrostmaths.com/explorer.php?ssid=264 | E496 | ||

496a | A Level, Secondary | Determine the equation of a circle, not centred at the origin, given its centre and an integer radius. | drfrostmaths.com/explorer.php?ssid=1019 | K786 | |

496b | A Level, Secondary | Determine the equation of a circle, not centred at the origin, which is drawn. | drfrostmaths.com/explorer.php?ssid=1043 | K700 | |

496c | A Level, Secondary | Write down the equation of a circle, not centred at the origin, given its centre and radius as a surd. | drfrostmaths.com/explorer.php?ssid=1045 | K701 | |

496d | A Level, Secondary | Determine the equation of a circle, with given centre and radius/diameter, in expanded form. | drfrostmaths.com/explorer.php?ssid=1922 | ||

496e | A Level, Secondary | Plot the graph of a circle not centred at the origin. | drfrostmaths.com/explorer.php?ssid=1101 | K702 | |

496f | A Level, Secondary | Determine the intercepts of circle given its equation. | drfrostmaths.com/explorer.php?ssid=1806 | ||

496g | A Level, Secondary | Determine the equation of a circle using the endpoints of the diameter. | drfrostmaths.com/explorer.php?ssid=1017 | https://www.youtube.com/embed/nF9WGe9FfeI | K787 |

496h | A Level, Secondary | Complete the square to determine the centre and radius of a circle. | drfrostmaths.com/explorer.php?ssid=1016 | https://www.youtube.com/embed/JkVXhrSpzOs | K785 |

496i | Secondary, A Level | Complete the square to determine the centre and radius of a circle, where the equation involves algebraic constants. | drfrostmaths.com/explorer.php?ssid=1935 | ||

496j | A Level, Secondary | Determine the points where a circle meets an axis. | drfrostmaths.com/explorer.php?ssid=1020 | K788 | |

496k | A Level, Secondary | Determine the equation of a circle using simple reasoning to establish the centre or radius of the circle. | drfrostmaths.com/explorer.php?ssid=6093 | ||

496l | A Level, Secondary | Use the coordinates of the endpoint of chord of a circle and the radius to determine the circle's centre. | drfrostmaths.com/explorer.php?ssid=1807 | ||

496m | A Level, Secondary | Determine the coordinate of a centre of a circle given its radius and the length of a tangent. | drfrostmaths.com/explorer.php?ssid=6094 | ||

496n | A Level, Secondary | Determine the tangent to a circle centred at any point. | drfrostmaths.com/explorer.php?ssid=1021 | K789 | |

496o | A Level, Secondary | Determine whether circles overlap or touch. | drfrostmaths.com/explorer.php?ssid=6095 | ||

496p | A Level, Secondary | Determine the shortest distance between two circles with given equations. | drfrostmaths.com/explorer.php?ssid=6096 | ||

496q | A Level, Secondary | Determine the length of a tangent from a point to a circle with given equation. | drfrostmaths.com/explorer.php?ssid=6097 | ||

496r | A Level, Secondary | Determine whether a straight line cuts or is tangent to a circle. | drfrostmaths.com/explorer.php?ssid=1917 | ||

496s | A Level, Secondary | Determine the equation of a tangent to a circle that is parallel to another given tangent. | drfrostmaths.com/explorer.php?ssid=1804 | ||

496t | A Level, Secondary | Determine the equation of a circle given the coordinates of 3 points. | drfrostmaths.com/explorer.php?ssid=6098 | ||

497 | Exam Practice: Tangent and normals to parabolas, ellipsis and hyperbolae. | drfrostmaths.com/explorer.php?ssid=265 | E497 | ||

497 | A Level | Exam Practice: Algebraic division | drfrostmaths.com/explorer.php?ssid=362 | E497 | |

497a | A Level | Determine a factor from algebraic division of a quadratic or cubic expression, given another factor. | drfrostmaths.com/explorer.php?ssid=6099 | ||

497b | A Level | Determine a factor from algebraic division of a polynomial of degree >3 given another factor. | drfrostmaths.com/explorer.php?ssid=6100 | ||

497c | A Level | Determine the quotient and remainder from an algebraic division (no zero coefficients). | drfrostmaths.com/explorer.php?ssid=6101 | ||

497d | A Level | Determine the quotient and remainder from an algebraic division (with zero coefficients). | drfrostmaths.com/explorer.php?ssid=6102 | ||

497e | A Level | Turn a top-heavy algebraic fraction into a form involving a quotient and remainder. | drfrostmaths.com/explorer.php?ssid=6103 | ||

497f | A Level | Determine the original function given the divisor, quotient and remainder. | drfrostmaths.com/explorer.php?ssid=1827 | ||

498 | Secondary, A Level | Exam Practice: The factor theorem | drfrostmaths.com/explorer.php?ssid=182 | https://www.youtube.com/embed/VUKuwXspxTI | E498 |

498a | Secondary, A Level | Determine whether a linear expression is a factor of a polynomial. | drfrostmaths.com/explorer.php?ssid=1896 | ||

498b | Secondary, A Level | Factorise a cubic when one of the factors is known. | drfrostmaths.com/explorer.php?ssid=1821 | ||

498c | Secondary, A Level | Factorise a cubic expression using the factor theorem, where a factor is not known. | drfrostmaths.com/explorer.php?ssid=1091 | K791 | |

498d | Secondary, A Level | Factorise the sum and difference of two cubes. | drfrostmaths.com/explorer.php?ssid=6104 | ||

498e | Secondary, A Level | Use the factor theorem to find a unknown coefficient. | drfrostmaths.com/explorer.php?ssid=1090 | K790 | |

498f | A Level, Secondary | Use the factor theorem to find two unknown coefficients. | drfrostmaths.com/explorer.php?ssid=1839 | ||

499 | A Level | Exam Practice: The remainder theorem | drfrostmaths.com/explorer.php?ssid=4341 | E499 | |

499a | A Level | Determine the remainder when a polynomial is divided by a linear expression. | drfrostmaths.com/explorer.php?ssid=6105 | ||

499b | A Level | Use the remainder theorem to find an unknown coefficient. | drfrostmaths.com/explorer.php?ssid=6106 | ||

499c | A Level | Use the remainder theorem to find two unknown coefficients. | drfrostmaths.com/explorer.php?ssid=6107 | ||

500 | A Level | Exam Practice: Solving cubic and quartic equations, or polynomials of higher degree | drfrostmaths.com/explorer.php?ssid=427 | https://www.youtube.com/embed/FEke3XrV1es | E500 |

500a | A Level | Solve cubic equations using the factor theorem, given one of the roots. | drfrostmaths.com/explorer.php?ssid=6108 | ||

500b | A Level | Solve cubic equations given in the form x^3 + bx^2 + cx = 0, solvable by factorisation. | drfrostmaths.com/explorer.php?ssid=1688 | ||

500c | A Level | Solve cubic equations given in the form ax^3 + bx^2 + cx = 0, solvable by factorisation. | drfrostmaths.com/explorer.php?ssid=1689 | ||

501 | A Level, Secondary | Exam Practice: Binomial expansion of (a + bx)^n where n is a positive integer | drfrostmaths.com/explorer.php?ssid=198 | E501 | |

501a | Secondary, A Level | Expand (x + b)^n, where n is a positive integer up to 6, using Pascal's triangle. | drfrostmaths.com/explorer.php?ssid=1820 | ||

501b | Secondary, A Level | Expand (x - b)^n, where n is a positive integer up to 6, using Pascal's triangle. | drfrostmaths.com/explorer.php?ssid=1831 | ||

501c | A Level, Secondary | Expand (ax \pm b)^n, where n is a positive integer. | drfrostmaths.com/explorer.php?ssid=903 | K792 | |

501d | A Level, Secondary | Find the first few terms of the expansion of (ax \pm b)^n, where n is a larger positive integer, using the choose function. | drfrostmaths.com/explorer.php?ssid=6109 | ||

501e | A Level, Secondary | Determine the value of a coefficient in a binomial expansion with a positive integer power. | drfrostmaths.com/explorer.php?ssid=904 | K793 | |

501f | A Level, Secondary | Expand (ax \pm b)^n for positive integers n, where b is fractional. | drfrostmaths.com/explorer.php?ssid=1835 | ||

501g | A Level, Secondary | Expand (a + bx)^n for positive integers n, where b is algebraic. | drfrostmaths.com/explorer.php?ssid=1836 | ||

501h | A Level, Secondary | Use a binomial expansion to reason about terms in the expansion of (a + bx)^n (c + dx) | drfrostmaths.com/explorer.php?ssid=1847 | ||

501i | A Level, Secondary | Use a binomial expansion to estimate the value of k^n | drfrostmaths.com/explorer.php?ssid=1872 | ||

501j | Secondary, A Level | Reason about the b and n in (a + bx)^n given known coefficients of terms in the binomial expansion. | drfrostmaths.com/explorer.php?ssid=1885 | ||

501k | Secondary, A Level | Use a relationship between the coefficients of terms in a binomial expansion to determine an unknown constant. | drfrostmaths.com/explorer.php?ssid=1934 | ||

501l | A Level, Secondary | Reason about or determine terms of a binomial expansion where one of the terms in the binomial is a reciprocal. | drfrostmaths.com/explorer.php?ssid=6110 | ||

501m | A Level, Secondary | Expand (ax+\frac{b}{x})^n, where n is a positive integer. | drfrostmaths.com/explorer.php?ssid=6111 | ||

502 | Secondary, A Level | Exam Practice: Constructing proofs involving \sin, \cos and \tan (excluding double angle formulae), and simplifying expressions | drfrostmaths.com/explorer.php?ssid=213 | https://www.youtube.com/embed/i2T1t-G_93U | E502 |

502a | A Level, Secondary | Determine exact values of \sin, \cos and \tan using another known trigonometric ratio, for acute angles. | drfrostmaths.com/explorer.php?ssid=1108 | K800 | |

502b | Secondary, A Level | Determine exact values of \sin, \cos and \tan using another known trigonometric ratio, for obtuse angles. | drfrostmaths.com/explorer.php?ssid=6112 | ||

502c | Secondary, A Level | Prove that \sin^2 x + \cos^2 x \equiv 1 | drfrostmaths.com/explorer.php?ssid=6113 | ||

502d | A Level, Secondary | Switch between \sin^2 and \cos^2 for expressions given in the form a \sin^2 bx or a \cos^2 bx | drfrostmaths.com/explorer.php?ssid=6114 | ||

502e | Secondary, A Level | Write an expression given in the form a \sin^2 x + b \cos^2 x in terms of just \sin or \cos | drfrostmaths.com/explorer.php?ssid=6115 | ||

502f | Secondary, A Level | Simplify a trigonometric expression by splitting a fraction. | drfrostmaths.com/explorer.php?ssid=6116 | ||

502g | Secondary, A Level | Prove that \tan x \equiv \frac{\sin x}{\cos x} | drfrostmaths.com/explorer.php?ssid=6117 | ||

502h | Secondary, A Level | Simplify a trigonometric expression by using the identity \sin^2 x + \cos^2 x \equiv 1 and \tan x = \frac{\sin x}{\cos x} | drfrostmaths.com/explorer.php?ssid=2105 | ||

502i | Secondary, A Level | Simplify a trigonometric expression involving \tan^2 x or \tan^3 x | drfrostmaths.com/explorer.php?ssid=2130 | ||

502j | Secondary, A Level | Determine exact values of \sin, \cos and \tan using another known trigonometric ratio in terms of an algebraic expression. | drfrostmaths.com/explorer.php?ssid=6118 | ||

502k | A Level, Secondary | Simplify an algebraic fraction in terms of \sin and \cos using quadratic factorisation. | drfrostmaths.com/explorer.php?ssid=6119 | ||

503 | A Level | Exam Practice: Solving trigonometric equations, involving \sin, \cos and \tan, in an interval in degrees | drfrostmaths.com/explorer.php?ssid=207 | https://www.youtube.com/embed/U3MKPIzoC7I | E503 |

503a | A Level | Solve a trigonometric equation given in the form \sin x = k where x is in degrees. | drfrostmaths.com/explorer.php?ssid=874 | K796 | |

503b | A Level | Solve a trigonometric equation given in the form \sin(ax) = k where x is in degrees. | drfrostmaths.com/explorer.php?ssid=6120 | ||

503c | A Level | State the number of solutions to a trigonometric equation given in the form \sin(ax) = k or \cos(ax) = k or \tan(ax) = k for a given range. | drfrostmaths.com/explorer.php?ssid=6121 | ||

503d | A Level | Solve a trigonometric equation given in the form \sin (ax+b) = k where x is in degrees and k is positive. | drfrostmaths.com/explorer.php?ssid=875 | K797 | |

503e | A Level | Solve a trigonometric equation given in the form \sin (ax+b) = k where x is in degrees and k is negative. | drfrostmaths.com/explorer.php?ssid=6122 | ||

503f | A Level | Solve trigonometric equations given in the form \sin^2 x=a where x is in degrees. | drfrostmaths.com/explorer.php?ssid=1624 | ||

503g | A Level | Solve a trigonometric equation in terms of \sin(ax) involving a fraction. | drfrostmaths.com/explorer.php?ssid=6123 | ||

503h | A Level | Determine the value of \tan x given an equation in the form p\sin(x) = q\cos(x) | drfrostmaths.com/explorer.php?ssid=6124 | ||

503i | A Level | Solve a trigonometric equation given in the form p\sin (ax+b) = q\cos (ax+b) | drfrostmaths.com/explorer.php?ssid=1685 | ||

503j | A Level | Solve a quadratic equation involving a single trigonometric function. | drfrostmaths.com/explorer.php?ssid=892 | K798 | |

503k | A Level | Solve a trigonometric equation involving a mixture of \sin and \cos where one is squared. | drfrostmaths.com/explorer.php?ssid=893 | K799 | |

503l | A Level | Solve a trigonometric equation involving \tan and either \sin or \cos | drfrostmaths.com/explorer.php?ssid=6125 | ||

503m | A Level | Determine the constants in y = \sin(ax + b) given its roots on the graph. | drfrostmaths.com/explorer.php?ssid=6126 | ||

503n | A Level | Solve a trigonometric equation from a modelled scenario. | drfrostmaths.com/explorer.php?ssid=6127 | ||

504 | A Level | Exam Practice: Writing vectors in terms of unit vectors | drfrostmaths.com/explorer.php?ssid=4342 | E504 | |

504a | A Level | Write a column vector in \textbf{i}-\textbf{j}-\textbf{k} form. | drfrostmaths.com/explorer.php?ssid=6128 | ||

504b | A Level | Write a vector in \textbf{i}-\textbf{j}-\textbf{k} form as a column vector. | drfrostmaths.com/explorer.php?ssid=6129 | ||

504c | A Level | Add and subtract vectors written in \textbf{i}-\textbf{j}-\textbf{k} form. | drfrostmaths.com/explorer.php?ssid=6130 | ||

504d | A Level | Calculate the magnitude of a 2D vector written in \textbf{i}-\textbf{j} form. | drfrostmaths.com/explorer.php?ssid=944 | K801 | |

504e | A Level | Calculate the magnitude of a 3D vector written in \textbf{i}-\textbf{j}-\textbf{k} form. | drfrostmaths.com/explorer.php?ssid=6131 | ||

504f | A Level | Convert a 2D or 3D vector in either column vector or \textbf{i}-\textbf{j}-\textbf{k} form to a unit vector. | drfrostmaths.com/explorer.php?ssid=8304 | ||

505 | A Level | Exam Practice: Position vectors and the distance between two points from their position vectors | drfrostmaths.com/explorer.php?ssid=269 | E505 | |

505a | A Level | Determine a 2D or 3D position vector given another position vector and the vector between them. | drfrostmaths.com/explorer.php?ssid=946 | K803 | |

505b | A Level | Determine the vector between two 2D or 3D position vectors. | drfrostmaths.com/explorer.php?ssid=1728 | ||

505c | A Level | Calculate the distance between two 2D or 3D position vectors. | drfrostmaths.com/explorer.php?ssid=1730 | ||

506 | A Level | Exam Practice: Trigonometry involving vectors | drfrostmaths.com/explorer.php?ssid=545 | E506 | |

506a | A Level | Determine the angle between a vector and the x or y axis. | drfrostmaths.com/explorer.php?ssid=945 | K802 | |

506b | A Level | Given two vectors in magnitude and direction form, determine the magnitude and direction of their sum. | drfrostmaths.com/explorer.php?ssid=6132 | ||

507 | A Level | Exam Practice: Limit notation and limiting values from graphs or tables | drfrostmaths.com/explorer.php?ssid=443 | E507 | |

507a | A Level | Determine a limit from a graph. | drfrostmaths.com/explorer.php?ssid=6133 | ||

507b | A Level | Determine a one-sided limit using a graph (excluding asymptotes). | drfrostmaths.com/explorer.php?ssid=6134 | ||

507c | A Level | Determine a one-sided limit involving an asymptote. | drfrostmaths.com/explorer.php?ssid=6135 | ||

507d | A Level | Estimate a limit from a table of values. | drfrostmaths.com/explorer.php?ssid=6136 | ||

507e | A Level | Estimate a one-sided limit from a table of values. | drfrostmaths.com/explorer.php?ssid=6137 | ||

507f | A Level | Determine the limit of a function by direct substitution into the function, including where the value is unbounded. | drfrostmaths.com/explorer.php?ssid=6138 | ||

507g | A Level | Determine limits of trigonometric functions for a given value (in degrees) by substitution. | drfrostmaths.com/explorer.php?ssid=6139 | ||

507h | A Level | Determine the limit for a continuous piecewise function by substitution. | drfrostmaths.com/explorer.php?ssid=6140 | ||

508 | Exam Practice: Counting problems | drfrostmaths.com/explorer.php?ssid=297 | E508 | ||

508 | A Level | Exam Practice: Combining limits using graphs | drfrostmaths.com/explorer.php?ssid=4343 | E508 | |

508a | A Level | Determine the limit of a product of two functions given the graphs of each. | drfrostmaths.com/explorer.php?ssid=6141 | ||

508b | A Level | Determine the limit of a division of two functions given the graphs of each. | drfrostmaths.com/explorer.php?ssid=6142 | ||

508c | A Level | Determine the limit of a composite function f(g(x)) where the limit of each function exists. | drfrostmaths.com/explorer.php?ssid=6143 | ||

508d | A Level | Determine the limit of a composite function f(g(x)) where the limit of g does not exist but the limit of f(g(x)) does. | drfrostmaths.com/explorer.php?ssid=6144 | ||

508e | A Level | Determine the limit of a composite function f(g(x)) where the limit of g exists but the limit of f does not. | drfrostmaths.com/explorer.php?ssid=6145 | ||

509 | A Level | Exam Practice: Determining limits for a finite value using algebraic manipulation | drfrostmaths.com/explorer.php?ssid=4344 | E509 | |

509a | A Level | Know the 7 different indeterminate forms and understand that we need strategies to deal with these when encountered in limits. | drfrostmaths.com/explorer.php?ssid=6146 | ||

509b | A Level | Determine a limit of an indeterminate form \frac{0}{0} by simplifying an algebraic fraction. | drfrostmaths.com/explorer.php?ssid=6147 | ||

509c | A Level | Determine a limit of an indeterminate form \frac{0}{0} by rationalising a denominator of a fraction. | drfrostmaths.com/explorer.php?ssid=6148 | ||

509d | A Level | Determine a limit of an indeterminate form \frac{0}{0} where a surd occurs in the numerator. | drfrostmaths.com/explorer.php?ssid=6149 | ||

510 | A Level | Exam Practice: Unbounded limits and determining limits to infinity (including limiting values of sequences) | drfrostmaths.com/explorer.php?ssid=4345 | E510 | |

510a | A Level | Determine a one-ended limit corresponding to a vertical asymptote. | drfrostmaths.com/explorer.php?ssid=6150 | ||

510b | A Level | Determine the limit to \pm\infty/end behaviour given the graph of a function. | drfrostmaths.com/explorer.php?ssid=6151 | ||

510c | A Level | Determine the limit |