SkillKeyStageNameDirect LinkYouTube URLLegacy Id (pre Sept22)
1Secondary, PrimaryExam Practice: Numbers up to 100drfrostmaths.com/explorer.php?ssid=4155E1
1aSecondary, PrimaryRead numbers up to 20 in words and write in numerals.drfrostmaths.com/explorer.php?ssid=4544
1bSecondary, PrimaryRead numbers up to 20 in numerals and write in words.drfrostmaths.com/explorer.php?ssid=4545
1cPrimary, SecondaryCount up to 20 objects.drfrostmaths.com/explorer.php?ssid=4546
1dPrimary, SecondaryCount to 20 using numerals.drfrostmaths.com/explorer.php?ssid=4547
1ePrimary, SecondaryRead numbers up to 100 in words and write in numerals.drfrostmaths.com/explorer.php?ssid=4548
1fPrimary, SecondaryRead numbers up to 100 in numerals and write in words.drfrostmaths.com/explorer.php?ssid=4549
1gPrimary, SecondaryCount up to 100 using numerals.drfrostmaths.com/explorer.php?ssid=4550
2Exam Practice: Compare and order (positive) integers using <, > and =.drfrostmaths.com/explorer.php?ssid=548E2
2Primary, SecondaryExam Practice: Increasing and decreasing by 1drfrostmaths.com/explorer.php?ssid=4156E2
2aPrimary, SecondaryIncrease and decrease numbers up to 20 by 1. drfrostmaths.com/explorer.php?ssid=4551
2bSecondary, PrimaryIncrease and decrease numbers up to 100 by 1. drfrostmaths.com/explorer.php?ssid=4552
3Primary, SecondaryExam Practice: Comparing amounts using wordsdrfrostmaths.com/explorer.php?ssid=4157E3
3aPrimary, SecondaryCompare up to 20 objects using words.drfrostmaths.com/explorer.php?ssid=4553
3bSecondary, PrimaryCompare numbers to 100 using words.drfrostmaths.com/explorer.php?ssid=4554
4PrimaryExam Practice: Counting by skipping in 2s, 3s, 5s or 10sdrfrostmaths.com/explorer.php?ssid=4158E4
4aPrimaryCount by skipping in 2s starting from 0. drfrostmaths.com/explorer.php?ssid=4555
4bPrimaryCount by skipping in 5s starting from 0. drfrostmaths.com/explorer.php?ssid=4556
4cPrimaryCount by skipping in 10s starting from 0. drfrostmaths.com/explorer.php?ssid=4557
4dPrimaryCount by skipping in 3s starting from 0. drfrostmaths.com/explorer.php?ssid=4558
4ePrimaryCount by skipping in 2s starting anywhere.drfrostmaths.com/explorer.php?ssid=4559
4fPrimaryCount by skipping in 5s starting anywhere.drfrostmaths.com/explorer.php?ssid=4560
4gPrimaryCount by skipping in 10s starting anywhere.drfrostmaths.com/explorer.php?ssid=4561
4hPrimaryCount by skipping in 3s starting anywhere.drfrostmaths.com/explorer.php?ssid=4562
5Primary, SecondaryExam Practice: Odd and even numbersdrfrostmaths.com/explorer.php?ssid=547E5
5aPrimary, SecondaryIdentify odd and even numbers.drfrostmaths.com/explorer.php?ssid=949https://www.youtube.com/embed/g0RQgowIuMkK21
5bPrimary, SecondaryIdentify the next or previous odd or even number. drfrostmaths.com/explorer.php?ssid=4563
6Secondary, PrimaryExam Practice: Understanding (positive) whole numbers on a number linedrfrostmaths.com/explorer.php?ssid=546E6
6aSecondary, PrimaryCount to 20 using a number line.drfrostmaths.com/explorer.php?ssid=4564
6bSecondary, PrimaryEstimate the value indicated on a number line (up to 20).drfrostmaths.com/explorer.php?ssid=4565
6cSecondary, PrimaryCount up to 100 using a number line.drfrostmaths.com/explorer.php?ssid=4566
6dSecondary, PrimaryEstimate the value indicated on a number line (up to 100).drfrostmaths.com/explorer.php?ssid=4567
7Primary, SecondaryExam Practice: Pictorial addition and subtraction (numbers up to 20)drfrostmaths.com/explorer.php?ssid=552E7
7aSecondary, PrimaryShow more/less with a pictorial representation.drfrostmaths.com/explorer.php?ssid=4568
7bSecondary, PrimaryDescribe how many more/less from pictorial representations.drfrostmaths.com/explorer.php?ssid=4569
7cSecondary, PrimaryWrite an addition or subtraction problem from a pictorial representation.drfrostmaths.com/explorer.php?ssid=4570
7dSecondary, PrimaryUse a pictorial representation to answer an addition or subtraction problem.drfrostmaths.com/explorer.php?ssid=4571
8Secondary, PrimaryExam Practice: Number bonds for numbers up to 20drfrostmaths.com/explorer.php?ssid=4159E8
8aPrimary, SecondaryUse number bonds to 10. drfrostmaths.com/explorer.php?ssid=2322
8bSecondary, PrimaryUse number bonds to 20. drfrostmaths.com/explorer.php?ssid=754K7
8cSecondary, PrimaryUse number bonds to numbers between 10 and 20. drfrostmaths.com/explorer.php?ssid=2323
9Primary, SecondaryExam Practice: Addition using numbers up to 20drfrostmaths.com/explorer.php?ssid=4160E9
9aSecondary, PrimaryAdd single-digit numbers to give an answer up to 20. drfrostmaths.com/explorer.php?ssid=4572
9bSecondary, PrimaryUnderstand zero as the additive identity.drfrostmaths.com/explorer.php?ssid=4573
9cSecondary, PrimaryAdd single-digit and double-digit numbers to give an answer up to 20. drfrostmaths.com/explorer.php?ssid=4574
9dSecondary, PrimarySolve missing number addition problems with numbers up to 20.drfrostmaths.com/explorer.php?ssid=4575
10Secondary, PrimaryExam Practice: Subtraction using numbers up to 20drfrostmaths.com/explorer.php?ssid=4161E10
10aPrimary, SecondarySubtract single-digit numbers to give an answer up to 20. drfrostmaths.com/explorer.php?ssid=4576
10bPrimary, SecondarySubtract single-digit and double-digit numbers to give an answer up to 20.drfrostmaths.com/explorer.php?ssid=4577
10cSecondary, PrimarySolve missing number subtraction problems with numbers up to 20.drfrostmaths.com/explorer.php?ssid=4578
11Exam Practice: Solve missing number problems by doing the inverse.drfrostmaths.com/explorer.php?ssid=554E11
11Primary, SecondaryExam Practice: Multiplication as arrays and repeated additiondrfrostmaths.com/explorer.php?ssid=4162E11
11aSecondary, PrimaryUse an array to give the value of a repeated addition.drfrostmaths.com/explorer.php?ssid=4579
11bSecondary, PrimaryUse an array to give the value of a 'lots of' statement.drfrostmaths.com/explorer.php?ssid=4580
12Exam Practice: Using number facts to solve connected calculations.drfrostmaths.com/explorer.php?ssid=551E12
12Secondary, PrimaryExam Practice: Division as grouping and sharingdrfrostmaths.com/explorer.php?ssid=4163E12
12aSecondary, PrimarySplit objects or an array by sharing equally. drfrostmaths.com/explorer.php?ssid=4581
12bSecondary, PrimarySplit objects or an array into equal sized groups. drfrostmaths.com/explorer.php?ssid=4582
13Secondary, PrimaryExam Practice: Understanding directional languagedrfrostmaths.com/explorer.php?ssid=4164E13
13aSecondary, PrimaryUse positional language to describe object placement.drfrostmaths.com/explorer.php?ssid=4583
13bSecondary, PrimaryUse left/right/up/down to describe directions.drfrostmaths.com/explorer.php?ssid=4584
13cSecondary, PrimaryUse the language of rotation.drfrostmaths.com/explorer.php?ssid=4585
13dSecondary, PrimaryUnderstand compass directions.drfrostmaths.com/explorer.php?ssid=1443K323
14Exam Practice: Solve multiplication, addition and subtraction problems involving missing digits.drfrostmaths.com/explorer.php?ssid=330E14
14Secondary, PrimaryExam Practice: Reading integer values off a scaledrfrostmaths.com/explorer.php?ssid=412https://www.youtube.com/embed/c7TyxqdI2aQE14
14aSecondary, PrimaryRead positive values off a scale with gaps of 1, starting at 0.drfrostmaths.com/explorer.php?ssid=2320
14bSecondary, PrimaryRead positive values off a scale with gaps of 1, starting at at any number.drfrostmaths.com/explorer.php?ssid=4586
14cPrimary, SecondaryRead positive values off a scale with gaps of 2, 3, 5 or 10, starting at 0.drfrostmaths.com/explorer.php?ssid=2324
14dSecondary, PrimaryRead positive values off a scale with gaps of 2, 3, 5 or 10, starting at any number.drfrostmaths.com/explorer.php?ssid=991https://www.youtube.com/embed/1dNiD3Sv_NcK40
15Primary, SecondaryExam Practice: Measuring using scales of lengths, mass and capacitydrfrostmaths.com/explorer.php?ssid=538E15
15aSecondary, PrimaryOrder three objects by length by use of one measure as a reference unit.drfrostmaths.com/explorer.php?ssid=4587
15bSecondary, PrimaryMeasure a line correct to the nearest millimetre.drfrostmaths.com/explorer.php?ssid=1405K43
15cSecondary, PrimaryDraw a line correct to the nearest millimetre.drfrostmaths.com/explorer.php?ssid=1417K44
15dPrimary, SecondaryMeasure a line correct to the nearest quarter inch.drfrostmaths.com/explorer.php?ssid=4588
15ePrimary, SecondaryDraw a line correct to the nearest quarter inch.drfrostmaths.com/explorer.php?ssid=4589
15fSecondary, PrimaryRead the measurement for a capacity. drfrostmaths.com/explorer.php?ssid=4590
15gSecondary, PrimaryRead a measurement for mass.drfrostmaths.com/explorer.php?ssid=4591
15hSecondary, PrimaryRead a positive temperature off a thermometer.drfrostmaths.com/explorer.php?ssid=4592
15iPrimary, SecondaryRead measurements of other scales, e.g. speed or pressure.drfrostmaths.com/explorer.php?ssid=4593
15jPrimary, SecondaryCompare and order measurements of capacity read from scales.drfrostmaths.com/explorer.php?ssid=4594
16Primary, SecondaryExam Practice: Describing timedrfrostmaths.com/explorer.php?ssid=4165E16
16aSecondary, PrimaryUnderstand sequencing of events.drfrostmaths.com/explorer.php?ssid=4595
16bSecondary, PrimaryKnow and use days of the week.drfrostmaths.com/explorer.php?ssid=4596
16cSecondary, PrimaryKnow and use months of the year. drfrostmaths.com/explorer.php?ssid=4597
16dSecondary, PrimaryKnow and use basic equivalences of time.drfrostmaths.com/explorer.php?ssid=4598
17Secondary, PrimaryExam Practice: Understanding place value involving tens and onesdrfrostmaths.com/explorer.php?ssid=4166E17
17aSecondary, PrimaryPartition a number into tens and ones.drfrostmaths.com/explorer.php?ssid=4599
17bSecondary, PrimaryDescribe the place value of a digit of a number up to 100.drfrostmaths.com/explorer.php?ssid=4600
17cSecondary, PrimaryCompare numbers up to 100 using inequalities. drfrostmaths.com/explorer.php?ssid=4601
17dSecondary, PrimaryOrder numbers up to 100.drfrostmaths.com/explorer.php?ssid=4602
18Secondary, PrimaryExam Practice: Number bonds for numbers up to 100drfrostmaths.com/explorer.php?ssid=4167E18
18aSecondary, PrimaryUse number bonds to 100 using multiples of 10 only.drfrostmaths.com/explorer.php?ssid=4603
18bSecondary, PrimaryUse number bonds to 100 from any number.drfrostmaths.com/explorer.php?ssid=4604
18cSecondary, PrimaryUse number bonds to numbers between 10 and 100, given a multiple of 10.drfrostmaths.com/explorer.php?ssid=4605
18dSecondary, PrimaryUse number bonds to numbers between 10 and 100, given any number.drfrostmaths.com/explorer.php?ssid=4606
19Primary, SecondaryExam Practice: Adding numbers up to 2 digits with answers up to 100drfrostmaths.com/explorer.php?ssid=4168E19
19aPrimary, SecondaryAdd numbers up to 100 using pictorial representations.drfrostmaths.com/explorer.php?ssid=4607
19bPrimary, SecondaryAdd single-digit and double-digit numbers to give an answer up to 100 using mental methods.drfrostmaths.com/explorer.php?ssid=4608
19cPrimary, SecondaryAdd double-digit numbers to give an answer up to 100 using mental methods.drfrostmaths.com/explorer.php?ssid=4609
19dPrimary, SecondarySolve missing number addition problems with numbers up to 100.drfrostmaths.com/explorer.php?ssid=4610
19ePrimary, SecondarySolve worded problems requiring addition of numbers to 100.drfrostmaths.com/explorer.php?ssid=4611
20Secondary, PrimaryExam Practice: Subtracting numbers up to 2 digitsdrfrostmaths.com/explorer.php?ssid=4169E20
20aPrimary, SecondarySubtract numbers up to 100 using pictorial representations.drfrostmaths.com/explorer.php?ssid=4612
20bPrimary, SecondarySubtract single-digit and double-digit numbers to give an answer up to 100 using mental methods.drfrostmaths.com/explorer.php?ssid=4613
20cSecondary, PrimarySubtract double-digit numbers to give an answer up to 100 using mental methods.drfrostmaths.com/explorer.php?ssid=4614
20dSecondary, PrimarySolve missing number subtraction problems with numbers up to 100.drfrostmaths.com/explorer.php?ssid=4615
20eSecondary, PrimarySolve worded problems requiring subtraction of numbers to 100.drfrostmaths.com/explorer.php?ssid=4616
21Secondary, PrimaryExam Practice: Properties of addition and subtractiondrfrostmaths.com/explorer.php?ssid=4170E21
21aSecondary, PrimaryFact families with addition and subtraction.drfrostmaths.com/explorer.php?ssid=1721
21bSecondary, PrimaryUnderstand addition and subtraction as inverses.drfrostmaths.com/explorer.php?ssid=4617
21cSecondary, PrimaryUnderstand that addition is commutative and subtraction is not.drfrostmaths.com/explorer.php?ssid=4618
21dSecondary, PrimaryUse commutativity and partitioning to complete mental addition and subtraction problems to 100.drfrostmaths.com/explorer.php?ssid=4619
22Primary, SecondaryExam Practice: Make up monetary values with coins and notes, with no decimal notation (GBP/Euro/Dollars)drfrostmaths.com/explorer.php?ssid=549E22
22aSecondary, PrimaryUse coins and notes to make up values in British pounds.drfrostmaths.com/explorer.php?ssid=4620
22bSecondary, PrimaryUse coins and notes to make up values in British pence.drfrostmaths.com/explorer.php?ssid=4621
22cPrimary, SecondaryUse coins and notes to make up values in Euros.drfrostmaths.com/explorer.php?ssid=4622
22dPrimary, SecondaryUse coins and notes to make up values in cents (Euros).drfrostmaths.com/explorer.php?ssid=4623
22ePrimary, SecondaryUse coins and notes to make up values in US Dollars.drfrostmaths.com/explorer.php?ssid=4624
22fSecondary, PrimaryUse coins and notes to make up values in cents (US).drfrostmaths.com/explorer.php?ssid=4625
23Primary, SecondaryExam Practice: Multiplication and division notationdrfrostmaths.com/explorer.php?ssid=4171E23
23aPrimary, SecondaryWrite a multiplication from a given array.drfrostmaths.com/explorer.php?ssid=4626
23bSecondary, PrimaryWrite a division from a given array.drfrostmaths.com/explorer.php?ssid=4627
24Secondary, PrimaryExam Practice: The 2, 5 and 10 times tablesdrfrostmaths.com/explorer.php?ssid=4172E24
24aSecondary, PrimaryKnow the 2 times table.drfrostmaths.com/explorer.php?ssid=4628
24bSecondary, PrimaryKnow the 5 times table.drfrostmaths.com/explorer.php?ssid=4629
24cSecondary, PrimaryKnow the 10 times table.drfrostmaths.com/explorer.php?ssid=4630
25Primary, SecondaryExam Practice: Introduction to 2D shapesdrfrostmaths.com/explorer.php?ssid=4173E25
25aSecondary, PrimaryIdentify rectangles, squares, triangles and circles.drfrostmaths.com/explorer.php?ssid=4631
25bSecondary, PrimaryKnow the names of polygons.drfrostmaths.com/explorer.php?ssid=992https://www.youtube.com/embed/PKPLJA3SlG0K93
25cSecondary, PrimaryIdentify vertical and horizontal lines of symmetry.drfrostmaths.com/explorer.php?ssid=4632
25dSecondary, PrimaryCompose simple shapes to form larger shapes.drfrostmaths.com/explorer.php?ssid=4633
26Secondary, PrimaryExam Practice: Recognising and using halves, quarters and thirdsdrfrostmaths.com/explorer.php?ssid=4174E26
26aSecondary, PrimaryIdentify halves, quarters and thirds from bar models. drfrostmaths.com/explorer.php?ssid=4634
26bPrimary, SecondaryIdentify a half of a shape or set of objects.drfrostmaths.com/explorer.php?ssid=4635
26cPrimary, SecondaryIdentify a quarter of a shape or set of objects.drfrostmaths.com/explorer.php?ssid=4636
26dPrimary, SecondaryIdentify a third of a shape or set of objects.drfrostmaths.com/explorer.php?ssid=4637
26ePrimary, SecondaryCount in steps of half, quarter or third.drfrostmaths.com/explorer.php?ssid=4638
26fPrimary, SecondaryRead a half, quarter or third off a number line.drfrostmaths.com/explorer.php?ssid=4639
26gPrimary, SecondaryPlace a half, quarter or third on a number line.drfrostmaths.com/explorer.php?ssid=4640
27Primary, SecondaryExam Practice: Reading values from a table of discrete or categorical datadrfrostmaths.com/explorer.php?ssid=408E27
27aPrimary, SecondaryRead a frequency from a table of discrete or categorical data. drfrostmaths.com/explorer.php?ssid=2343
27bPrimary, SecondaryDetermine the value with the lowest or highest frequency in a table of data.drfrostmaths.com/explorer.php?ssid=4641
27cPrimary, SecondaryCalculate the total frequency from a table of data.drfrostmaths.com/explorer.php?ssid=4642
27dPrimary, SecondaryCalculate a difference from a table of data.drfrostmaths.com/explorer.php?ssid=4643
27ePrimary, SecondaryCalculate a missing value from a table of data.drfrostmaths.com/explorer.php?ssid=4644
28Exam Practice: Find what fraction of a shape is shaded.drfrostmaths.com/explorer.php?ssid=128E28
28Secondary, PrimaryExam Practice: Tally charts (discrete and categorical data)drfrostmaths.com/explorer.php?ssid=4175E28
28aSecondary, PrimaryInterpret a discrete or categorical tally chart to give a frequency table.drfrostmaths.com/explorer.php?ssid=989https://www.youtube.com/embed/y-7f6Jnz14gK80
28aDELETED Find what fraction of a shape is shaded.drfrostmaths.com/explorer.php?ssid=1333https://www.youtube.com/embed/UCP7i4BVFoAK45
28bSecondary, PrimaryComplete a discrete or categorical tally chart from given data, including frequencies.drfrostmaths.com/explorer.php?ssid=4645
28cSecondary, PrimaryInterpret a grouped tally chart to give a frequency table.drfrostmaths.com/explorer.php?ssid=4646
28dSecondary, PrimaryComplete a grouped tally chart from given data, including frequencies.drfrostmaths.com/explorer.php?ssid=4647
29Exam Practice: Understand equivalent fractions.drfrostmaths.com/explorer.php?ssid=22https://www.youtube.com/embed/VZLAUzMqFiAE29
29Primary, SecondaryExam Practice: Block diagramsdrfrostmaths.com/explorer.php?ssid=4176E29
29aPrimary, SecondaryRead a frequency from a block diagram.drfrostmaths.com/explorer.php?ssid=4648
29bPrimary, SecondaryComplete a block diagram.drfrostmaths.com/explorer.php?ssid=4649
29cSecondary, PrimaryDetermine the value with the lowest or highest frequency in a block diagram.drfrostmaths.com/explorer.php?ssid=4650
29dDELETED Compare two fractions.drfrostmaths.com/explorer.php?ssid=966https://www.youtube.com/embed/PL7XoaqbylUK49
29dPrimary, SecondaryCalculate the total frequency from a block diagram.drfrostmaths.com/explorer.php?ssid=4651
29ePrimary, SecondaryCalculate a difference from a block diagram.drfrostmaths.com/explorer.php?ssid=4652
30Primary, SecondaryExam Practice: Line and dot plotsdrfrostmaths.com/explorer.php?ssid=4177E30
30aPrimary, SecondaryRead a frequency from a line or dot plot.drfrostmaths.com/explorer.php?ssid=4653
30bPrimary, SecondaryComplete a line or dot plot.drfrostmaths.com/explorer.php?ssid=4654
30cPrimary, SecondaryDetermine the value with the lowest or highest frequency in a line or dot plot.drfrostmaths.com/explorer.php?ssid=4655
30dPrimary, SecondaryCalculate the total frequency from a line or dot plot.drfrostmaths.com/explorer.php?ssid=4656
30ePrimary, SecondaryCalculate a difference from a line or dot plot.drfrostmaths.com/explorer.php?ssid=4657
31Secondary, PrimaryExam Practice: Pictogramsdrfrostmaths.com/explorer.php?ssid=409https://www.youtube.com/embed/DL80AEcRgL0E31
31aPrimary, SecondaryRead a frequency from a pictogram.drfrostmaths.com/explorer.php?ssid=990https://www.youtube.com/embed/iqRNSCfZIzsK81
31bPrimary, SecondaryDetermine the value with the lowest or highest frequency in a pictogram.drfrostmaths.com/explorer.php?ssid=2227
31cPrimary, SecondaryComplete a pictogram from a given frequency and key. drfrostmaths.com/explorer.php?ssid=2228
31dPrimary, SecondaryCalculate the total frequency from a pictogram.drfrostmaths.com/explorer.php?ssid=2273
31ePrimary, SecondaryComplete a pictogram from a given total and key. drfrostmaths.com/explorer.php?ssid=2308
31fSecondary, PrimaryCalculate a difference from a pictogram.drfrostmaths.com/explorer.php?ssid=2274
31gPrimary, SecondaryDetermine the key for a pictogram given a frequency, difference or total.drfrostmaths.com/explorer.php?ssid=2283
31hPrimary, SecondaryComplete a pictogram where key must first be determined given a frequency or difference.drfrostmaths.com/explorer.php?ssid=2309
32Secondary, PrimaryExam Practice: Introduction to 3D shapesdrfrostmaths.com/explorer.php?ssid=4178E32
32aPrimary, SecondaryRecognise cubes, cuboids, pyramids, spheres, and cones.drfrostmaths.com/explorer.php?ssid=4658
32bPrimary, SecondaryCount the number of faces, edges or vertices of cubes, cuboids, pyramids, spheres, and cones.drfrostmaths.com/explorer.php?ssid=4659
33Secondary, PrimaryExam Practice: Tell the time using an analogue clockdrfrostmaths.com/explorer.php?ssid=420E33
33aPrimary, SecondaryDetermine times at o'clock and half past from an analogue clock.drfrostmaths.com/explorer.php?ssid=4660
33bPrimary, SecondaryDetermine times at 15 minute intervals using an analogue clock.drfrostmaths.com/explorer.php?ssid=4661
33cPrimary, SecondaryDetermine times at 5 minute intervals using an analogue clock.drfrostmaths.com/explorer.php?ssid=2329
33dPrimary, SecondaryTell the time from an analogue clock to the nearest minute.drfrostmaths.com/explorer.php?ssid=1269https://www.youtube.com/embed/0aMOl_75FFcK68
33eSecondary, PrimaryDetermine the difference between two times on an analogue clock.drfrostmaths.com/explorer.php?ssid=4662
34Primary, SecondaryExam Practice: Numbers above 100drfrostmaths.com/explorer.php?ssid=403https://www.youtube.com/embed/SJGN3lGo_q8E34
34aPrimary, SecondaryRead numbers up to 200 in words and writing in numerals.drfrostmaths.com/explorer.php?ssid=4663
34bPrimary, SecondaryRead numbers up to 200 in numerals and writing in words.drfrostmaths.com/explorer.php?ssid=4664
34cSecondary, PrimaryCount with numbers up to 200.drfrostmaths.com/explorer.php?ssid=4665
34dSecondary, PrimaryUse number bonds to 200.drfrostmaths.com/explorer.php?ssid=4666
34eSecondary, PrimaryEstimate the value indicated on a number line (up to 200).drfrostmaths.com/explorer.php?ssid=4667
34fPrimary, SecondaryRead numbers up to 1000 in words and writing in numerals.drfrostmaths.com/explorer.php?ssid=1300https://www.youtube.com/embed/hVgSppOl2ckK3
34gSecondary, PrimaryRead numbers up to 1000 in numerals and writing in words.drfrostmaths.com/explorer.php?ssid=1301https://www.youtube.com/embed/HdReM16hRrUK4
34hPrimary, SecondaryCount with numbers up to 1000.drfrostmaths.com/explorer.php?ssid=4668
34iPrimary, SecondaryUse number bonds to 1000.drfrostmaths.com/explorer.php?ssid=4669
34jSecondary, PrimaryEstimate the value indicated on a number line (up to 1000).drfrostmaths.com/explorer.php?ssid=4670
34kSecondary, PrimaryRead numbers up to 1 million in words and writing in numerals.drfrostmaths.com/explorer.php?ssid=1431https://www.youtube.com/embed/WZ2X8isB_KkK5
34lSecondary, PrimaryRead numbers up to 1 million in numerals and writing in words.drfrostmaths.com/explorer.php?ssid=1432https://www.youtube.com/embed/u68x7XFGJH0K6
34mSecondary, PrimaryCount with numbers up to 1 million.drfrostmaths.com/explorer.php?ssid=4671
34nSecondary, PrimaryUse number bonds to 1 million.drfrostmaths.com/explorer.php?ssid=4672
34oPrimary, SecondaryEstimate the value indicated on a number line (up to 1 million).drfrostmaths.com/explorer.php?ssid=4673
34pPrimary, SecondaryRead numbers over 1 million in words and writing in numerals.drfrostmaths.com/explorer.php?ssid=4674
34qPrimary, SecondaryRead numbers over 1 million in numerals and writing in words.drfrostmaths.com/explorer.php?ssid=4675
34rPrimary, SecondaryCount with numbers over 1 million.drfrostmaths.com/explorer.php?ssid=4676
35Primary, SecondaryExam Practice: Place value above the 100s digitdrfrostmaths.com/explorer.php?ssid=4179E35
35aPrimary, SecondaryPartition a number up to 200 into ones, tens and hundreds.drfrostmaths.com/explorer.php?ssid=4677
35bSecondary, PrimaryDescribe the place value of a digit of a number up to 200.drfrostmaths.com/explorer.php?ssid=4678
35cSecondary, PrimaryIncrease and decrease numbers up to 200 by 1 or 10.drfrostmaths.com/explorer.php?ssid=4679
35dSecondary, PrimaryPartition a number up to 1000 into ones, tens and hundreds.drfrostmaths.com/explorer.php?ssid=1633
35eSecondary, PrimaryDescribe the place value of a digit of a number up to 1000.drfrostmaths.com/explorer.php?ssid=4680
35fPrimary, SecondaryIncrease and decrease numbers up to 1000 by 1, 10 or 100.drfrostmaths.com/explorer.php?ssid=4681
35gPrimary, SecondaryPartition a number up to 1 million into powers of 10.drfrostmaths.com/explorer.php?ssid=4682
35hSecondary, PrimaryDescribe the place value of a digit of a number up to 1 million.drfrostmaths.com/explorer.php?ssid=4683
35iSecondary, PrimaryIncrease and decrease numbers up to 1 million by powers of 10.drfrostmaths.com/explorer.php?ssid=4684
35jSecondary, PrimaryPartition a number over 1 million into powers of 10.drfrostmaths.com/explorer.php?ssid=4685
35kSecondary, PrimaryDescribe the place value of a digit of a number over 1 million.drfrostmaths.com/explorer.php?ssid=4686
35lPrimary, SecondaryIncrease and decrease numbers over 1 million by powers of 10.drfrostmaths.com/explorer.php?ssid=4687
35mPrimary, SecondaryArrange digits to create a number fitting a certain criteria.drfrostmaths.com/explorer.php?ssid=8328
36Secondary, PrimaryExam Practice: Comparing and ordering positive numbers above 100drfrostmaths.com/explorer.php?ssid=4180E36
36aSecondary, PrimaryCompare numbers up to 200 using inequalities. drfrostmaths.com/explorer.php?ssid=4688
36bSecondary, PrimaryOrder numbers up to 200.drfrostmaths.com/explorer.php?ssid=4689
36cSecondary, PrimaryCompare numbers up to 1000 using inequalities. drfrostmaths.com/explorer.php?ssid=4690
36dPrimary, SecondaryOrder numbers up to 1000.drfrostmaths.com/explorer.php?ssid=590https://www.youtube.com/embed/FuZNqFdE_AIK1
36ePrimary, SecondaryCompare numbers up to 1 million using inequalities. drfrostmaths.com/explorer.php?ssid=4691
36fPrimary, SecondaryOrder numbers up to 1 million.drfrostmaths.com/explorer.php?ssid=4692
36gSecondary, PrimaryCompare numbers over 1 million using inequalities. drfrostmaths.com/explorer.php?ssid=4693
36hSecondary, PrimaryOrder numbers over 1 million.drfrostmaths.com/explorer.php?ssid=4694
37Primary, SecondaryExam Practice: Rounding a number to nearest 10, 100, 1000 and beyonddrfrostmaths.com/explorer.php?ssid=41https://www.youtube.com/embed/aqyat9LEjWYE37
37aPrimary, SecondaryRound a number to the nearest ten.drfrostmaths.com/explorer.php?ssid=4695
37bPrimary, SecondaryRound a number to the nearest hundred.drfrostmaths.com/explorer.php?ssid=4696
37cSecondary, PrimaryRound a number to the nearest thousand.drfrostmaths.com/explorer.php?ssid=4697
37dPrimary, SecondaryRound a number to a given place value beyond thousands.drfrostmaths.com/explorer.php?ssid=4698
37ePrimary, SecondaryDELETED Round a number to the nearest whole, ten, hundred or thousand.drfrostmaths.com/explorer.php?ssid=628https://www.youtube.com/embed/z2vs-xx0zCgK62
38PrimaryExam Practice: Further counting by skippingdrfrostmaths.com/explorer.php?ssid=4181E38
38aPrimaryCount by skipping in 4s and 8s starting from 0. drfrostmaths.com/explorer.php?ssid=4699
38bPrimaryCount by skipping in 6s, 7s and 9s starting from 0. drfrostmaths.com/explorer.php?ssid=4700
38cPrimaryCount by skipping in 100s starting from 0. drfrostmaths.com/explorer.php?ssid=4701
38dPrimaryCount by skipping in 50s starting from 0. drfrostmaths.com/explorer.php?ssid=4702
38ePrimaryCount by skipping in thousands and other powers of 10 starting from 0. drfrostmaths.com/explorer.php?ssid=4703
38fPrimaryCount by skipping in 4s and 8s starting anywhere.drfrostmaths.com/explorer.php?ssid=4704
38gPrimaryCount by skipping in 6s, 7s and 9s starting anywhere.drfrostmaths.com/explorer.php?ssid=4705
38hPrimaryCount by skipping in 100s starting anywhere.drfrostmaths.com/explorer.php?ssid=4706
38iPrimaryCount by skipping in 50s starting anywhere.drfrostmaths.com/explorer.php?ssid=4707
38jPrimaryCount by skipping in thousands and other powers of 10 starting anywhere.drfrostmaths.com/explorer.php?ssid=4708
39Secondary, PrimaryExam Practice: Mental addition and subtraction strategiesdrfrostmaths.com/explorer.php?ssid=4182E39
39aSecondary, PrimarySolve single-step addition problems using part-whole models.drfrostmaths.com/explorer.php?ssid=1634
39bSecondary, PrimarySolve single-step subtraction problems using part-whole models.drfrostmaths.com/explorer.php?ssid=8310
39cSecondary, PrimarySolve multi-step addition problems using part-whole models.drfrostmaths.com/explorer.php?ssid=4709
39dSecondary, PrimaryUse flexible partitioning.drfrostmaths.com/explorer.php?ssid=4710
39eSecondary, PrimarySolve multi-step addition problems using partitioning, number bonds and commutativity.drfrostmaths.com/explorer.php?ssid=4711
39fPrimary, SecondarySolve multi-step subtraction problems using part-whole models.drfrostmaths.com/explorer.php?ssid=4712
39gSecondary, PrimarySolve multi-step subtraction problems using partitioning and number bonds. drfrostmaths.com/explorer.php?ssid=4713
39hSecondary, PrimarySolve multi-step addition and subtraction problems using using part-whole models.drfrostmaths.com/explorer.php?ssid=4714
39iSecondary, PrimarySolve multi-step addition and subtraction problems using partitioning and number bonds. drfrostmaths.com/explorer.php?ssid=4715
40Secondary, PrimaryExam Practice: Column additiondrfrostmaths.com/explorer.php?ssid=376https://www.youtube.com/embed/RIotd3KnZ2QE40
40aSecondary, PrimaryAdd integers up to 2 digit + 2 digit with a written method.drfrostmaths.com/explorer.php?ssid=4716
40bPrimary, SecondaryAdd integers up to 3 digit + 3 digit with a written method.drfrostmaths.com/explorer.php?ssid=755https://www.youtube.com/embed/dcCGLSW1jl8K8
40cSecondary, PrimaryAdd integers up to 4 digit + 4 digit with a written method.drfrostmaths.com/explorer.php?ssid=4717
40dPrimary, SecondaryAdd integers up to 5 digit + 5 digit with a written method.drfrostmaths.com/explorer.php?ssid=1612
40ePrimary, SecondaryAdd up to 4 integers using a written method.drfrostmaths.com/explorer.php?ssid=4718
40fPrimary, SecondaryWrite and complete a column addition from a worded problem.drfrostmaths.com/explorer.php?ssid=4719
40gPrimary, SecondaryFind missing digits in a column addition.drfrostmaths.com/explorer.php?ssid=1640
41Secondary, PrimaryExam Practice: Column subtractiondrfrostmaths.com/explorer.php?ssid=4183E41
41aSecondary, PrimarySubtract integers up to 2 digit - 2 digit with a written method.drfrostmaths.com/explorer.php?ssid=4720
41bSecondary, PrimarySubtract integers up to 2 digit - 2 digit with a written method with exchanging. drfrostmaths.com/explorer.php?ssid=4721
41cSecondary, PrimarySubtract integers up to 3 digit - 3 digit with a written method.drfrostmaths.com/explorer.php?ssid=756https://www.youtube.com/embed/LBTpkrjP8WMK9
41dPrimary, SecondarySubtract integers up to 3 digit - 3 digit with a written method with exchanging.drfrostmaths.com/explorer.php?ssid=757https://www.youtube.com/embed/AguzNffgyBAK10
41ePrimary, SecondarySubtract integers up to 4 digit - 4 digit with a written method.drfrostmaths.com/explorer.php?ssid=4722
41fPrimary, SecondarySubtract integers up to 5 digit - 5 digit with a written method.drfrostmaths.com/explorer.php?ssid=1613
41gPrimary, SecondaryWrite and complete a column subtraction from a worded problem.drfrostmaths.com/explorer.php?ssid=4723
41hSecondary, PrimaryFind missing digits in a column subtraction.drfrostmaths.com/explorer.php?ssid=4724
42Secondary, PrimaryExam Practice: Times tables up to 12 \times 12drfrostmaths.com/explorer.php?ssid=4184E42
42aSecondary, PrimaryKnow the 3 times table.drfrostmaths.com/explorer.php?ssid=4725
42bSecondary, PrimaryKnow the 4 times table.drfrostmaths.com/explorer.php?ssid=4726
42cSecondary, PrimaryKnow the 8 times table.drfrostmaths.com/explorer.php?ssid=4727
42dPrimary, SecondaryKnow all times tables up to 12\times12drfrostmaths.com/explorer.php?ssid=4728
43Primary, SecondaryExam Practice: Properties of multiplication and divisiondrfrostmaths.com/explorer.php?ssid=4185E43
43aSecondary, PrimaryFact families with multiplication and divisiondrfrostmaths.com/explorer.php?ssid=1723
43bPrimary, SecondaryUnderstand multiplication and division as inverses.drfrostmaths.com/explorer.php?ssid=4729
43cPrimary, SecondaryUnderstand that multiplication is commutative and division is not.drfrostmaths.com/explorer.php?ssid=4730
43dSecondary, PrimaryUse commutativity to complete mental multiplication and division problems to 100.drfrostmaths.com/explorer.php?ssid=4731
43eSecondary, PrimaryWork out a multiplication using a given fact and knowledge of times tables.drfrostmaths.com/explorer.php?ssid=1718
43fPrimary, SecondaryWork out a division using a given fact and knowledge of times tables.drfrostmaths.com/explorer.php?ssid=8331
43gSecondary, PrimaryDetermine a missing number in a multiplication or division problem.drfrostmaths.com/explorer.php?ssid=4732
44Secondary, PrimaryExam Practice: Multiplying numbers by 1 or 0 and divide by 1drfrostmaths.com/explorer.php?ssid=4186E44
44aSecondary, PrimaryMultiplication and division by 1 (the multiplicative identity).drfrostmaths.com/explorer.php?ssid=4733
44bPrimary, SecondaryMultiplication by 0.drfrostmaths.com/explorer.php?ssid=4734
45Secondary, PrimaryExam Practice: Multiplying and dividing by 10, 100, 1000 etc, excluding decimalsdrfrostmaths.com/explorer.php?ssid=404https://www.youtube.com/embed/DhndjuSKwKQE45
45aPrimary, SecondaryMultiply integers by 10, excluding decimals.drfrostmaths.com/explorer.php?ssid=626https://www.youtube.com/embed/9Fk7E62mYIAK11
45bPrimary, SecondaryMultiply integers by 100 or 1000, excluding decimals.drfrostmaths.com/explorer.php?ssid=4735
45cPrimary, SecondaryDivide integers by 10, excluding decimals.drfrostmaths.com/explorer.php?ssid=627https://www.youtube.com/embed/T4956zM6ZZ4K15
45dPrimary, SecondaryDivide integers by 100 or 1000, excluding decimals.drfrostmaths.com/explorer.php?ssid=4736
45eSecondary, PrimaryMultiply and divide integers by powers of 10, greater than 1000, excluding decimals.drfrostmaths.com/explorer.php?ssid=4737
45fSecondary, PrimaryMultiply and divide integers by multiples of 10, 100 and 1000.drfrostmaths.com/explorer.php?ssid=4738
46Primary, SecondaryExam Practice: The Commutative and Associative Lawsdrfrostmaths.com/explorer.php?ssid=550E46
46aPrimary, SecondaryUnderstand the commutative law for addition.drfrostmaths.com/explorer.php?ssid=4739
46bPrimary, SecondaryUnderstand the commutative law for multiplication.drfrostmaths.com/explorer.php?ssid=4740
46cSecondary, PrimaryUnderstand the associative law for addition.drfrostmaths.com/explorer.php?ssid=4741
46dSecondary, PrimaryUnderstand the associative law for multiplication.drfrostmaths.com/explorer.php?ssid=4742
46ePrimary, SecondaryDetermine associativity or commutativity in a calculation.drfrostmaths.com/explorer.php?ssid=2062
46fSecondary, PrimaryAdd or subtract three numbers efficiently using commutativity.drfrostmaths.com/explorer.php?ssid=2059
46gSecondary, PrimaryMultiply three numbers efficiently using commutativity.drfrostmaths.com/explorer.php?ssid=2058
47Secondary, PrimaryExam Practice: The Distributive Law and the area model for multiplicationdrfrostmaths.com/explorer.php?ssid=4187E47
47aSecondary, PrimaryUnderstand the Distributive Law.drfrostmaths.com/explorer.php?ssid=4743
47bSecondary, PrimaryUnderstand the area model for multiplication.drfrostmaths.com/explorer.php?ssid=4744
47cPrimary, SecondaryUse the distributive law to complete mental multiplication calculations. drfrostmaths.com/explorer.php?ssid=4745
48Secondary, PrimaryExam Practice: Related number facts with place valuedrfrostmaths.com/explorer.php?ssid=4188E48
48aSecondary, PrimaryWork out an addition or subtraction calculation using a given fact and an understanding of place value.drfrostmaths.com/explorer.php?ssid=1691
48bSecondary, PrimaryWork out a multiplication using a given multiplication fact and knowledge of place value. drfrostmaths.com/explorer.php?ssid=4746
48cSecondary, PrimaryWork out a division using a given division fact and knowledge of place value. drfrostmaths.com/explorer.php?ssid=4747
48dSecondary, PrimaryWork out a multiplication or division using a given fact and knowledge about multiples and factors.drfrostmaths.com/explorer.php?ssid=1429K26
49Secondary, PrimaryExam Practice: Dividing a large number by a 1 digit number using partitioningdrfrostmaths.com/explorer.php?ssid=553E49
49aSecondary, PrimaryDivide a 2-digit number by a 1-digit number by partitioning using place value.drfrostmaths.com/explorer.php?ssid=4748
49bSecondary, PrimaryDivide a number with >3 digits by a 1-digit number by partitioning using place value.drfrostmaths.com/explorer.php?ssid=1636
49cSecondary, PrimaryDivide a 2-digit number by a 1-digit number by partitioning using flexible partitioning.drfrostmaths.com/explorer.php?ssid=4749
49dSecondary, PrimaryDivide a number with >3 digits by a 1-digit number by partitioning using flexible partitioning.drfrostmaths.com/explorer.php?ssid=4750
50Primary, SecondaryExam Practice: Solving one-step and two-step arithmetic problems, including working with money in the same unitdrfrostmaths.com/explorer.php?ssid=371E50
50aPrimary, SecondarySolve an arithmetic problem involving addition or subtraction of integers within the same unit, including money.drfrostmaths.com/explorer.php?ssid=1419K24
50bPrimary, SecondarySolve an arithmetic problem involving multiplication or division of integers within the same unit, including money.drfrostmaths.com/explorer.php?ssid=1440K25
50cSecondary, PrimarySolve an arithmetic problem involving two-steps of addition or subtraction of integers within the same unit, including money.drfrostmaths.com/explorer.php?ssid=4751
50dPrimary, SecondarySolve an arithmetic problem involving two-steps of multiplication or division of integers within the same unit, including money.drfrostmaths.com/explorer.php?ssid=4752
50ePrimary, SecondarySolve 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
50fPrimary, SecondarySolve 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
51Secondary, PrimaryExam Practice: Checking calculationsdrfrostmaths.com/explorer.php?ssid=4189E51
51aPrimary, SecondaryCheck addition and subtraction calculations using the inverse.drfrostmaths.com/explorer.php?ssid=4755
51bSecondary, PrimaryCheck multiplication and division calculations using the inverse.drfrostmaths.com/explorer.php?ssid=4756
51cSecondary, PrimaryCheck arithmetic calculations by estimation.drfrostmaths.com/explorer.php?ssid=4757
52Secondary, PrimaryExam Practice: Multiples of a numberdrfrostmaths.com/explorer.php?ssid=574E52
52aSecondary, PrimaryIdentify multiples of a number from 1 to 12.drfrostmaths.com/explorer.php?ssid=1684
52bSecondary, PrimaryIdentify multiples of a number greater than 12.drfrostmaths.com/explorer.php?ssid=4758
52cSecondary, PrimaryWrite the first 3 multiples of a number.drfrostmaths.com/explorer.php?ssid=604https://www.youtube.com/embed/WEaKRZ4dkSIK60
52dSecondary, PrimaryWrite all the multiples of a number in a range.drfrostmaths.com/explorer.php?ssid=1702
53Secondary, PrimaryExam Practice: Factors of a numberdrfrostmaths.com/explorer.php?ssid=27https://www.youtube.com/embed/vnetli2ToaEE53
53aSecondary, PrimaryIdentify a factor of a number.drfrostmaths.com/explorer.php?ssid=8320
53bSecondary, PrimaryFind factor pairs of a number.drfrostmaths.com/explorer.php?ssid=1665
53cSecondary, PrimaryList all factors of a number.drfrostmaths.com/explorer.php?ssid=603https://www.youtube.com/embed/AoqVb96vCZMK59
53dSecondary, PrimaryDELETED DECOMMISSIONED Determine which numbers divide into a given number.drfrostmaths.com/explorer.php?ssid=1336https://www.youtube.com/embed/N6vj6TkYpGwK222
54Primary, SecondaryExam Practice: Recognising and using fractions with denominators to 12drfrostmaths.com/explorer.php?ssid=4190E54
54aPrimary, SecondaryIdentify fifths and tenths from bar models. drfrostmaths.com/explorer.php?ssid=4759
54bSecondary, PrimaryIdentify fifths and tenths of a shape or set of objects.drfrostmaths.com/explorer.php?ssid=4760
54cSecondary, PrimaryIdentify fractions with denominators up to 12 from bar models.drfrostmaths.com/explorer.php?ssid=4761
54dPrimary, SecondaryIdentify fractions with denominators up to 12 of a shape or set of objects.drfrostmaths.com/explorer.php?ssid=4762
54ePrimary, SecondaryCount in steps of a unit fraction with denominator up to 12. drfrostmaths.com/explorer.php?ssid=4763
54fPrimary, SecondaryCount in steps of a non-unit fraction with denominator up to 12. drfrostmaths.com/explorer.php?ssid=4764
54gPrimary, SecondaryRead unit fractions with a denominator up to 12 off a number line.drfrostmaths.com/explorer.php?ssid=4765
54hSecondary, PrimaryPlace unit fractions with a denominator up to 12 on a number line.drfrostmaths.com/explorer.php?ssid=4766
54iSecondary, PrimaryRead non-unit fractions with a denominator up to 12 off a number line.drfrostmaths.com/explorer.php?ssid=4767
54jSecondary, PrimaryRecognise one whole as a fraction with the same numerator and denominator.drfrostmaths.com/explorer.php?ssid=4768
54kSecondary, PrimaryRecognise whole number as a fraction with denominator of one.drfrostmaths.com/explorer.php?ssid=4769
54lPrimary, SecondaryWrite a whole number as a fraction with any denominator. drfrostmaths.com/explorer.php?ssid=4770
54mSecondary, PrimaryPlace non-unit fractions with a denominator up to 12 on a number line.drfrostmaths.com/explorer.php?ssid=4771
54nSecondary, PrimaryIdentify equivalent fractions using bar models and other diagrams. drfrostmaths.com/explorer.php?ssid=4772
55Secondary, PrimaryExam Practice: Comparing and ordering fractions where one part is the samedrfrostmaths.com/explorer.php?ssid=4191E55
55aSecondary, PrimaryCompare fractions with the same denominator using bar models and number lines. drfrostmaths.com/explorer.php?ssid=4773
55bSecondary, PrimaryCompare fractions with the same denominator.drfrostmaths.com/explorer.php?ssid=4774
55cPrimary, SecondaryOrder fractions with the same denominator.drfrostmaths.com/explorer.php?ssid=4775
55dSecondary, PrimaryCompare unit fractions using bar models and number lines.drfrostmaths.com/explorer.php?ssid=4776
55eSecondary, PrimaryOrder unit fractions using bar models and number lines.drfrostmaths.com/explorer.php?ssid=4777
55fSecondary, PrimaryCompare unit fractions.drfrostmaths.com/explorer.php?ssid=4778
55gSecondary, PrimaryCompare fractions with the same numerator using bar models and number lines.drfrostmaths.com/explorer.php?ssid=4779
55hSecondary, PrimaryCompare fractions with the same numerator. drfrostmaths.com/explorer.php?ssid=4780
55iSecondary, PrimaryOrder fractions with the same numerator. drfrostmaths.com/explorer.php?ssid=4781
56Primary, SecondaryExam Practice: Adding and subtracting fractions with the same denominatordrfrostmaths.com/explorer.php?ssid=584E56
56aPrimary, SecondaryAdd proper fractions with the same denominator, within a whole.drfrostmaths.com/explorer.php?ssid=594https://www.youtube.com/embed/jx0CO38kmioK169
56bPrimary, SecondaryAdd proper fractions with the same denominator, with total greater than a whole.drfrostmaths.com/explorer.php?ssid=4782
56cPrimary, SecondaryAdd improper fractions with the same denominator, with total greater than a whole.drfrostmaths.com/explorer.php?ssid=4783
56dSecondary, PrimarySubtract proper fractions with the same denominator, within a whole.drfrostmaths.com/explorer.php?ssid=4784
56ePrimary, SecondarySubtract from improper fractions with the same denominator. drfrostmaths.com/explorer.php?ssid=4785
57Primary, SecondaryExam Practice: Fractions of an amountdrfrostmaths.com/explorer.php?ssid=24https://www.youtube.com/embed/Jc9P678qu1oE57
57aPrimary, SecondaryCalculate a half, quarter or third of a given quantity.drfrostmaths.com/explorer.php?ssid=4786
57bPrimary, SecondaryCalculate two-thirds of a given quantity.drfrostmaths.com/explorer.php?ssid=4787
57cPrimary, SecondaryCalculate three-quarters of a given quantity.drfrostmaths.com/explorer.php?ssid=4788
57dPrimary, SecondaryCalculate a unit fraction of a given quantity (with denominator up to 12).drfrostmaths.com/explorer.php?ssid=1823https://www.youtube.com/embed/sqU1HJMTye8
57ePrimary, SecondaryCalculate a non-unit fraction of a given quantity (with denominator up to 12).drfrostmaths.com/explorer.php?ssid=597https://www.youtube.com/embed/jm6qoetSKpUK183
58Secondary, PrimaryExam Practice: Roman numeralsdrfrostmaths.com/explorer.php?ssid=569E58
58aPrimary, SecondaryRead Roman numerals less than 10.drfrostmaths.com/explorer.php?ssid=1938
58bSecondary, PrimaryRead Roman numerals less than 100.drfrostmaths.com/explorer.php?ssid=1277https://www.youtube.com/embed/x34ccSF7RBMK226
58cSecondary, PrimaryRead Roman numerals less than 500.drfrostmaths.com/explorer.php?ssid=1454K227
58dPrimary, SecondaryRead Roman numerals less than 5000.drfrostmaths.com/explorer.php?ssid=1739
58eSecondary, PrimaryTell the time using an analogue clock with Roman Numeral markings.drfrostmaths.com/explorer.php?ssid=4789
59Primary, SecondaryExam Practice: Time conversionsdrfrostmaths.com/explorer.php?ssid=380E59
59aSecondary, PrimaryConvert from hours to minutes.drfrostmaths.com/explorer.php?ssid=1270https://www.youtube.com/embed/cwfHn5btsk8K64
59bSecondary, PrimaryConvert from minutes to seconds.drfrostmaths.com/explorer.php?ssid=1271https://www.youtube.com/embed/tp5J1XfTSTMK65
59cPrimary, SecondaryConvert from weeks to days.drfrostmaths.com/explorer.php?ssid=1273https://www.youtube.com/embed/K-ne4CFEGq8K67
59dSecondary, PrimaryConvert from years to months.drfrostmaths.com/explorer.php?ssid=1272https://www.youtube.com/embed/kVsbAHh3TdYK66
59ePrimary, SecondaryConvert from minutes to hours and minutesdrfrostmaths.com/explorer.php?ssid=1581K758
59fSecondary, PrimaryConvert from seconds to minutes and seconds.drfrostmaths.com/explorer.php?ssid=1582K759
59gSecondary, PrimaryConvert from days to weeks.drfrostmaths.com/explorer.php?ssid=4790
59hSecondary, PrimaryConvert from months to years.drfrostmaths.com/explorer.php?ssid=4791
60Primary, SecondaryExam Practice: Reading times on digital clocksdrfrostmaths.com/explorer.php?ssid=421https://www.youtube.com/embed/Uz8_xKutjW8E60
60aPrimary, SecondaryConvert from the 12-hour clock to the 24-hour clock.drfrostmaths.com/explorer.php?ssid=1275https://www.youtube.com/embed/mnreww2pgNgK69
60bPrimary, SecondaryConvert from the 24-hour clock to the 12-hour clock.drfrostmaths.com/explorer.php?ssid=4792
60cPrimary, SecondaryConvert from a 12-hour clock to an analogue clock. drfrostmaths.com/explorer.php?ssid=4793
60dPrimary, SecondaryConvert from a 24-hour clock to an analogue clock. drfrostmaths.com/explorer.php?ssid=4794
60ePrimary, SecondaryWrite times such as half past, quarter past and quarter to on a 12- or 24-hour clock.drfrostmaths.com/explorer.php?ssid=4795
61Secondary, PrimaryExam Practice: Difference between two times or the end time after a time has elapseddrfrostmaths.com/explorer.php?ssid=145E61
61aPrimary, SecondaryCalculate the difference between two times where the end time has a greater number of minutes.drfrostmaths.com/explorer.php?ssid=4796
61bSecondary, PrimaryCalculate the difference between any two times.drfrostmaths.com/explorer.php?ssid=1274https://www.youtube.com/embed/n6aLbsLWbjwK70
61cPrimary, SecondaryCalculate 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
61dPrimary, SecondaryCalculate 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
61eSecondary, PrimaryCalculate the new time after a period of time given in hours and minutes has elapsed, with overflow.drfrostmaths.com/explorer.php?ssid=1434K71
61fSecondary, PrimaryCalculate the new time after a longer period of time has elapsed given in minutes.drfrostmaths.com/explorer.php?ssid=4799
61gSecondary, PrimaryCalculate the number of equal interval periods within a time that has elapsed.drfrostmaths.com/explorer.php?ssid=4800
62Secondary, PrimaryExam Practice: Identifying right-angles and relating to other angles and turnsdrfrostmaths.com/explorer.php?ssid=4192E62
62aSecondary, PrimaryIdentify full turns, half turns and quarter turns. drfrostmaths.com/explorer.php?ssid=4801
62bSecondary, PrimaryRecognise a right-angle and describe other turns in relation to it.drfrostmaths.com/explorer.php?ssid=4802
62cSecondary, PrimaryCompare and order angles up to two right angles by size.drfrostmaths.com/explorer.php?ssid=1279K100
62dSecondary, PrimaryCompare and order angles up to two full turns by size.drfrostmaths.com/explorer.php?ssid=4803
63Secondary, PrimaryExam Practice: Identifying vertical, horizontal, parallel and perpendicular linesdrfrostmaths.com/explorer.php?ssid=555E63
63aSecondary, PrimaryIdentify vertical and horizontal lines.drfrostmaths.com/explorer.php?ssid=4804
63bSecondary, PrimaryIdentify pairs of perpendicular and parallel lines.drfrostmaths.com/explorer.php?ssid=1276https://www.youtube.com/embed/WvY39WpbiSYK303
63cSecondary, PrimaryIdentify parallel lines in context.drfrostmaths.com/explorer.php?ssid=4805
63dSecondary, PrimaryIdentify perpendicular lines in context.drfrostmaths.com/explorer.php?ssid=4806
64Secondary, PrimaryExam Practice: Measuring perimeter for 2D shapesdrfrostmaths.com/explorer.php?ssid=4193E64
64aPrimary, SecondaryDetermine the perimeter of a rectangle by counting unit lengths.drfrostmaths.com/explorer.php?ssid=4807
64bSecondary, PrimaryDetermine the perimeter of a more general rectilinear shape by counting unit lengths.drfrostmaths.com/explorer.php?ssid=1452K109
65Primary, SecondaryExam Practice: Bar chartsdrfrostmaths.com/explorer.php?ssid=336E65
65aSecondary, PrimaryIdentify a bar from a bar chart.drfrostmaths.com/explorer.php?ssid=2288
65bSecondary, PrimaryIdentify a frequency from a bar chart.drfrostmaths.com/explorer.php?ssid=952https://www.youtube.com/embed/x1u2bXAA0a4K83
65cSecondary, PrimaryDraw a bar chart.drfrostmaths.com/explorer.php?ssid=835https://www.youtube.com/embed/uXvwfpnRDrAK82
65dSecondary, PrimaryIdentify bars with the highest or lowest frequency.drfrostmaths.com/explorer.php?ssid=4808
65eSecondary, PrimaryIdentify bars in a frequency range.drfrostmaths.com/explorer.php?ssid=4809
65fPrimary, SecondaryIdentify the total frequency from a bar chart.drfrostmaths.com/explorer.php?ssid=2289
65gSecondary, PrimaryIdentify a difference from a bar chart.drfrostmaths.com/explorer.php?ssid=4810
65hPrimary, SecondaryUse frequencies from a bar chart where each bar represents a number of occurences to calculate a total.drfrostmaths.com/explorer.php?ssid=2290
65iPrimary, SecondaryDraw a bar chart from a given pictogram.drfrostmaths.com/explorer.php?ssid=4811
65jPrimary, SecondaryMake a simple calculation using a frequency from a bar chart.drfrostmaths.com/explorer.php?ssid=4812
65kSecondary, PrimaryIdentify problems with a bar chart.drfrostmaths.com/explorer.php?ssid=4813
65lSecondary, PrimaryDraw a bar chart for continuous, grouped data (no inequalities).drfrostmaths.com/explorer.php?ssid=4814
65mSecondary, PrimaryInterpret a bar chart for continuous, grouped data (no inequalities).drfrostmaths.com/explorer.php?ssid=4815
66Secondary, PrimaryExam Practice: Short column multiplicationdrfrostmaths.com/explorer.php?ssid=4194E66
66aPrimary, SecondaryMultiply a 2-digit integer greater than 12 by a single-digit integer.drfrostmaths.com/explorer.php?ssid=4816
66bPrimary, SecondaryMultiply a 3-digit integer by a single-digit integer.drfrostmaths.com/explorer.php?ssid=4817
66cPrimary, SecondaryMultiply integers with 4 or more digits by a single-digit integer.drfrostmaths.com/explorer.php?ssid=622https://www.youtube.com/embed/LAiBy51LT34K12
66dPrimary, SecondaryDetermine missing digits in short multiplication calculations.drfrostmaths.com/explorer.php?ssid=4818
66ePrimary, SecondaryDELETED Multiply a 2-digit integer gereater than 12 by a single-digit integer.drfrostmaths.com/explorer.php?ssid=589https://www.youtube.com/embed/e6pw9c_5wwoK2
67Secondary, PrimaryExam Practice: Long column multiplicationdrfrostmaths.com/explorer.php?ssid=328https://www.youtube.com/embed/tz1Ey-I28eQE67
67aPrimary, SecondaryMultiply a 2-digit integer by a 2-digit integer.drfrostmaths.com/explorer.php?ssid=1488https://www.youtube.com/embed/w_vsu6zEhkkK706
67bPrimary, SecondaryMultiply a 3-digit integer by a 2-digit integer.drfrostmaths.com/explorer.php?ssid=1383K13
67cPrimary, SecondaryMultiply a 4-digit integer by a 2-digit integer. drfrostmaths.com/explorer.php?ssid=4819
67dSecondary, PrimaryMultiply integers with more than 4 digits by a 2-digit integer. drfrostmaths.com/explorer.php?ssid=4820
67ePrimary, SecondaryMultiply any integer by a 3-digit integer.drfrostmaths.com/explorer.php?ssid=623https://www.youtube.com/embed/aI5nee12i-gK14
67fSecondary, PrimaryDetermine missing digits in long multiplication calculations.drfrostmaths.com/explorer.php?ssid=4821
68Primary, SecondaryExam Practice: Recognising and using tenths, hundredths and thousandthsdrfrostmaths.com/explorer.php?ssid=4195E68
68aPrimary, SecondaryRecognise tenths using pictorial representations.drfrostmaths.com/explorer.php?ssid=4822
68bPrimary, SecondaryRecognise hundredths using pictorial representations.drfrostmaths.com/explorer.php?ssid=4823
68cPrimary, SecondaryConvert between tenths and hundredths.drfrostmaths.com/explorer.php?ssid=4824
68dPrimary, SecondaryRecognise thousandths using pictorial representations.drfrostmaths.com/explorer.php?ssid=4825
68ePrimary, SecondaryConvert between thousandths, hundredths and tenths. drfrostmaths.com/explorer.php?ssid=4826
68fPrimary, SecondaryRead tenths, hundredths and thousandths off a number line.drfrostmaths.com/explorer.php?ssid=4827
68gPrimary, SecondaryPlace tenths, hundredths and thousandths on a number line.drfrostmaths.com/explorer.php?ssid=4828
69Primary, SecondaryExam Practice: Place value of the tenths, hundredths and thousandths digitsdrfrostmaths.com/explorer.php?ssid=377https://www.youtube.com/embed/PkIBZ60OqjcE69
69aSecondary, PrimaryKnow the place value of digits in decimal numbers up to 3 decimal places.drfrostmaths.com/explorer.php?ssid=758https://www.youtube.com/embed/oDKjiWQAkaYK27
69bPrimary, SecondaryConvert between fractional and decimal forms of tenths.drfrostmaths.com/explorer.php?ssid=4829
69cSecondary, PrimaryDELETED Compare two decimal numbers using =, \ne, < or >.drfrostmaths.com/explorer.php?ssid=1331K339
69cSecondary, PrimaryConvert between fractional and decimal forms of hundredths.drfrostmaths.com/explorer.php?ssid=4830
69dSecondary, PrimaryDELETED Order decimals.drfrostmaths.com/explorer.php?ssid=753https://www.youtube.com/embed/a7Sz-zPN3ogK28
69dSecondary, PrimaryConvert between fractional and decimal forms of thousandths.drfrostmaths.com/explorer.php?ssid=4831
69eSecondary, PrimaryPartition a decimal of up to 3 decimal places in decimal form.drfrostmaths.com/explorer.php?ssid=4832
69fSecondary, PrimaryPartition a decimal of up to 3 decimal places into fractional form.drfrostmaths.com/explorer.php?ssid=4833
69gPrimary, SecondaryRecognise decimals of up to three digits on pictorial representations.drfrostmaths.com/explorer.php?ssid=4834
69hSecondary, PrimaryPlace numbers with one decimal place on a number line.drfrostmaths.com/explorer.php?ssid=1339https://www.youtube.com/embed/G1v09bpAioMK41
69iSecondary, PrimaryPlace numbers with two decimal places on a number line.drfrostmaths.com/explorer.php?ssid=4835
69jSecondary, PrimaryPlace numbers with three decimal places on a number line.drfrostmaths.com/explorer.php?ssid=4836
69kSecondary, PrimaryWrite down a decimal number as shown on a number line.drfrostmaths.com/explorer.php?ssid=1340https://www.youtube.com/embed/G1v09bpAioMK42
69lSecondary, PrimaryKnow the place value of digits in decimal numbers beyond 3 decimal places.drfrostmaths.com/explorer.php?ssid=4837
70Secondary, PrimaryExam Practice: Multiplying and dividing by 10, 100, 1000, including decimalsdrfrostmaths.com/explorer.php?ssid=40https://www.youtube.com/embed/bWZLt3hJ_CgE70
70aPrimary, SecondaryMultiply decimals with 1 decimal place by 10, 100 or 1000.drfrostmaths.com/explorer.php?ssid=4838
70bSecondary, PrimaryMultiply decimals with up to 3 decimal places by 10, 100 or 1000.drfrostmaths.com/explorer.php?ssid=4839
70cSecondary, PrimaryMultiply decimals with up to 3 decimal places by positive powers of 10, greater than 1000. drfrostmaths.com/explorer.php?ssid=614https://www.youtube.com/embed/XfXQ246BRoUK29
70dPrimary, SecondaryDELETED Multiply decimals by multiples of 10, 100, 1000.drfrostmaths.com/explorer.php?ssid=1614
70dSecondary, PrimaryDivide integers by 10, 100 or 1000, to give an answer with up to 3 decimal places.drfrostmaths.com/explorer.php?ssid=4840
70ePrimary, SecondaryDELETED Divide decimals by multiples of 10, 100, 1000.drfrostmaths.com/explorer.php?ssid=1615
70ePrimary, SecondaryDivide decimals with 1 decimal place by 10, 100 or 1000.drfrostmaths.com/explorer.php?ssid=4841
70fPrimary, SecondaryDivide decimals with up to 3 decimal places by 10, 100 or 1000.drfrostmaths.com/explorer.php?ssid=4842
70gSecondary, PrimaryDivide integers and decimals by positive powers of 10, greater than 1000. drfrostmaths.com/explorer.php?ssid=615https://www.youtube.com/embed/Bt58yQDKI7IK30
71Secondary, PrimaryExam Practice: Compare decimalsdrfrostmaths.com/explorer.php?ssid=4196E71
71aSecondary, PrimaryCompare decimals with 1 decimal place using inequalities.drfrostmaths.com/explorer.php?ssid=4843
71bPrimary, SecondaryOrder decimals with 1 decimal place.drfrostmaths.com/explorer.php?ssid=4844
71cPrimary, SecondaryCompare decimals with up to 2 decimal places using inequalities.drfrostmaths.com/explorer.php?ssid=4845
71dSecondary, PrimaryOrder decimals with up to 2 decimal places.drfrostmaths.com/explorer.php?ssid=4846
71eSecondary, PrimaryCompare decimals with up to 3 decimal places using inequalities.drfrostmaths.com/explorer.php?ssid=4847
71fSecondary, PrimaryOrder decimals with up to 3 decimal places.drfrostmaths.com/explorer.php?ssid=4848
71gSecondary, PrimaryCompare decimals with more than 3 decimal places using inequalities.drfrostmaths.com/explorer.php?ssid=4849
71hPrimary, SecondaryOrder decimals with more than 3 decimal places.drfrostmaths.com/explorer.php?ssid=4850
72Exam Practice: Find the perimeter and area of more complex rectilinear shapes.drfrostmaths.com/explorer.php?ssid=123https://www.youtube.com/embed/rvFKw47fxvkE72
72Primary, SecondaryExam Practice: Number bonds for numbers between 0 and 1drfrostmaths.com/explorer.php?ssid=4197E72
72aSecondary, PrimaryUse number bonds to 1 with 1 decimal place.drfrostmaths.com/explorer.php?ssid=4851
72bSecondary, PrimaryUse number bonds to 1 with 2 decimal places.drfrostmaths.com/explorer.php?ssid=4852
72cPrimary, SecondaryUse number bonds to 1 with 3 decimal places.drfrostmaths.com/explorer.php?ssid=4853
72dPrimary, SecondaryUse number bonds to numbers with 1 decimal place.drfrostmaths.com/explorer.php?ssid=4854
72ePrimary, SecondaryUse number bonds to numbers with 2 decimal places.drfrostmaths.com/explorer.php?ssid=4855
72fSecondary, PrimaryUse number bonds to numbers with 3 decimal places.drfrostmaths.com/explorer.php?ssid=4856
73Primary, SecondaryExam Practice: Making up monetary values with coins and notes, with decimal notation (GBP/Euro/Dollars)drfrostmaths.com/explorer.php?ssid=4198E73
73aSecondary, PrimaryWrite monetary values given in British pounds and pence in decimal form. drfrostmaths.com/explorer.php?ssid=4857
73bSecondary, PrimaryPartition money written in decimal form into British pounds and pence.drfrostmaths.com/explorer.php?ssid=4858
73cSecondary, PrimaryWrite monetary values given in Euros and cents in decimal form. drfrostmaths.com/explorer.php?ssid=4859
73dSecondary, PrimaryPartition money written in decimal form into Euros and cents.drfrostmaths.com/explorer.php?ssid=4860
73ePrimary, SecondaryWrite monetary values given in US Dollars and cents in decimal form. drfrostmaths.com/explorer.php?ssid=4861
73fPrimary, SecondaryPartition money written in decimal form into US Dollars and Cents.drfrostmaths.com/explorer.php?ssid=4862
73gSecondary, PrimaryUse number bonds to the nearest £1.drfrostmaths.com/explorer.php?ssid=4863
73hSecondary, PrimaryUse coins and notes to make up values in British pounds in decimal notation.drfrostmaths.com/explorer.php?ssid=4864
73iSecondary, PrimaryUse coins and notes to make up values in Euros in decimal notation.drfrostmaths.com/explorer.php?ssid=4865
73jPrimary, SecondaryUse coins and notes to make up values in US Dollars in decimal notation.drfrostmaths.com/explorer.php?ssid=4866
73kPrimary, SecondaryCompare and order monetary values in British pounds.drfrostmaths.com/explorer.php?ssid=4867
73lSecondary, PrimaryCompare and order monetary values in Euros.drfrostmaths.com/explorer.php?ssid=4868
73mSecondary, PrimaryCompare and order monetary values in US Dollars.drfrostmaths.com/explorer.php?ssid=4869
74Secondary, PrimaryExam Practice: Adding and subtracting decimal numbersdrfrostmaths.com/explorer.php?ssid=37https://www.youtube.com/embed/0Xu_vUVgBu4E74
74aSecondary, PrimaryAdd two decimal numbers with the same number of decimal places, up to thousandths.drfrostmaths.com/explorer.php?ssid=4870
74bPrimary, SecondaryAdd two decimal numbers with a different number of decimal places, up to thousandths.drfrostmaths.com/explorer.php?ssid=616https://www.youtube.com/embed/yf30WKg3R3wK31
74cSecondary, PrimarySubtract two decimal numbers with the same number of decimal places, up to thousandths.drfrostmaths.com/explorer.php?ssid=4871
74dPrimary, SecondarySubtract two decimal numbers with a different number of decimal places, up to thousandths.drfrostmaths.com/explorer.php?ssid=617https://www.youtube.com/embed/XDyirhwIkO0K32
74eSecondary, PrimaryAdd and subtract multiple decimals.drfrostmaths.com/explorer.php?ssid=4872
74fSecondary, PrimaryAdd decimal monetary values to give totals. drfrostmaths.com/explorer.php?ssid=4873
74gPrimary, SecondarySubtract decimal monetary values to give differences.drfrostmaths.com/explorer.php?ssid=4874
74hSecondary, PrimaryComplete multi-step addition and subtraction problems with decimal monetary values.drfrostmaths.com/explorer.php?ssid=4875
75Primary, SecondaryExam Practice: Rounding a number to a given number of decimal placesdrfrostmaths.com/explorer.php?ssid=42https://www.youtube.com/embed/Ti6Ixehp4dcE75
75aSecondary, PrimaryRound a number to the nearest whole.drfrostmaths.com/explorer.php?ssid=4876
75bSecondary, PrimaryRound a number to 1 decimal place.drfrostmaths.com/explorer.php?ssid=4877
75cSecondary, PrimaryRound a number to 2 or more decimal places. drfrostmaths.com/explorer.php?ssid=629https://www.youtube.com/embed/LSGPDaYDffEK63
76Secondary, PrimaryExam Practice: Types of angledrfrostmaths.com/explorer.php?ssid=405https://www.youtube.com/embed/xGYRXdbbb-UE76
76aSecondary, PrimaryIdentify the type of angle from drawn form.drfrostmaths.com/explorer.php?ssid=953https://www.youtube.com/embed/O8WifnkYklgK99
76bSecondary, PrimaryIdentify the type of angle in numeric form.drfrostmaths.com/explorer.php?ssid=4878
76cPrimary, SecondaryIdentify angles of a certain type in a given shape.drfrostmaths.com/explorer.php?ssid=4879
77Secondary, PrimaryExam Practice: Types of quadrilaterals and trianglesdrfrostmaths.com/explorer.php?ssid=111https://www.youtube.com/embed/S1D65Nxm8d8E77
77aSecondary, PrimaryKnow the names of different types of triangles.drfrostmaths.com/explorer.php?ssid=1362https://www.youtube.com/embed/6pq7wwEcNqYK94
77bPrimary, SecondaryKnow the names of quadrilaterals.drfrostmaths.com/explorer.php?ssid=1433https://www.youtube.com/embed/DX3tpJ-9nyIK95
78Primary, SecondaryExam Practice: Properties of polygonsdrfrostmaths.com/explorer.php?ssid=142https://www.youtube.com/embed/nTamcBQWg94E78
78aPrimary, SecondaryDistinguish between regular and irregular polygons.drfrostmaths.com/explorer.php?ssid=4880
78bPrimary, SecondaryIdentify lines of symmetry in 2D shapes.drfrostmaths.com/explorer.php?ssid=995https://www.youtube.com/embed/m0aRF0ovXHYK97
78cPrimary, SecondaryDraw the line of symmetry where only one line of symmetry exists.drfrostmaths.com/explorer.php?ssid=4881
78dPrimary, SecondaryUnderstand the definition of different quadrilaterals and their properties.drfrostmaths.com/explorer.php?ssid=993https://www.youtube.com/embed/zveG9syhgpAK96
78ePrimary, SecondaryIdentify shapes which tessellate with themselves.drfrostmaths.com/explorer.php?ssid=4882
79Secondary, PrimaryExam Practice: Perimeter of a 2D shape by adding lengthsdrfrostmaths.com/explorer.php?ssid=572E79
79aSecondary, PrimaryCalculate the perimeter of a 2D shape by adding lengths.drfrostmaths.com/explorer.php?ssid=763https://www.youtube.com/embed/HLSd4bxCfFAK110
79bSecondary, PrimaryCalculate the perimeter of a regular polygon given one of its sides.drfrostmaths.com/explorer.php?ssid=4883
79cSecondary, PrimaryCalculate the perimeter of a rectangle.drfrostmaths.com/explorer.php?ssid=1421https://www.youtube.com/embed/Y5b7xyJ68R0K111
79dSecondary, PrimaryCalculate the perimeter of an isosceles triangle.drfrostmaths.com/explorer.php?ssid=4884
79ePrimary, SecondaryCalculate the side length of a regular polygon given its perimeter.drfrostmaths.com/explorer.php?ssid=4885
79fSecondary, PrimaryCalculate a side length of a rectangle given its perimeter.drfrostmaths.com/explorer.php?ssid=1341https://www.youtube.com/embed/GkED2EzrlFcK112
79gPrimary, SecondaryCalculate a side length within an isosceles triangle given its perimeter.drfrostmaths.com/explorer.php?ssid=4886
79hPrimary, SecondaryDetermine lengths in a square, rectangle or isosceles triangle, given that two shapes have the same perimeter.drfrostmaths.com/explorer.php?ssid=4887
79iSecondary, PrimaryDetermine lengths of a rectangle or square formed by splitting or putting together other rectangles or squares.drfrostmaths.com/explorer.php?ssid=4888
80Secondary, PrimaryExam Practice: Area of shapes by counting squaresdrfrostmaths.com/explorer.php?ssid=571E80
80aSecondary, PrimaryDetermine the area of a rectangle by counting squares.drfrostmaths.com/explorer.php?ssid=2155
80bSecondary, PrimaryDetermine the area of rectilinear shapes by counting squares.drfrostmaths.com/explorer.php?ssid=1278https://www.youtube.com/embed/CJjI5vqvYgAK113
80cSecondary, PrimaryDetermine the area of shapes involving half squares.drfrostmaths.com/explorer.php?ssid=2131
81Secondary, PrimaryExam Practice: Reflecting a shape in a mirror line (no axes)drfrostmaths.com/explorer.php?ssid=4199E81
81aSecondary, PrimaryReflect a shape in a vertical or horizontal mirror line which touches the shape.drfrostmaths.com/explorer.php?ssid=4889
81bSecondary, PrimaryReflect a shape in a vertical or horizontal line which does not touch the shape.drfrostmaths.com/explorer.php?ssid=4890
81cSecondary, PrimaryComplete a shape by reflecting in its vertical or horizontal mirror line.drfrostmaths.com/explorer.php?ssid=4891
81dSecondary, PrimaryReflect a shape against a diagonal line.drfrostmaths.com/explorer.php?ssid=4892
82Secondary, PrimaryExam Practice: Translating a shape using directional language (no axes)drfrostmaths.com/explorer.php?ssid=4200E82
82aSecondary, PrimaryTranslate a shape on a unit grid using directional language.drfrostmaths.com/explorer.php?ssid=4893
82bPrimary, SecondaryDescribe a translation on a unit grid using directional language.drfrostmaths.com/explorer.php?ssid=4894
83Primary, SecondaryExam Practice: Coordinates in the first quadrantdrfrostmaths.com/explorer.php?ssid=134https://www.youtube.com/embed/hTApq20qKr4E83
83aPrimary, SecondaryPlot a point to complete a square, rectangle or parallelogram in the first quadrant.drfrostmaths.com/explorer.php?ssid=2317
83bPrimary, SecondaryDetermine the coordinate of a point in the first quadrant.drfrostmaths.com/explorer.php?ssid=857https://www.youtube.com/embed/XOSD1kUn6aAK122
83cPrimary, SecondaryPlot a point in the first quadrant given its coordinates.drfrostmaths.com/explorer.php?ssid=797https://www.youtube.com/embed/NJDDQb9MWcoK123
83dPrimary, SecondaryRead a point on the positive x or y axis.drfrostmaths.com/explorer.php?ssid=1997
83ePrimary, SecondaryPlot a point on the positive x or y axis.drfrostmaths.com/explorer.php?ssid=1970
83fPrimary, SecondaryUse 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
83gPrimary, SecondaryUse a scale to find the horizontal or vertical distance between any two points in the first quadrant.drfrostmaths.com/explorer.php?ssid=4896
84Secondary, PrimaryExam Practice: Map grid referencesdrfrostmaths.com/explorer.php?ssid=4201E84
84aSecondary, PrimaryUsing 2 figure grid references.drfrostmaths.com/explorer.php?ssid=4897
84bPrimary, SecondaryUsing 4 figure grid references.drfrostmaths.com/explorer.php?ssid=4898
84cSecondary, PrimaryUsing 6 figure grid references.drfrostmaths.com/explorer.php?ssid=4899
85Secondary, PrimaryExam Practice: Counting up and down with negative numbersdrfrostmaths.com/explorer.php?ssid=4202E85
85aSecondary, PrimaryCount backwards through zero.drfrostmaths.com/explorer.php?ssid=4900
85bSecondary, PrimaryCount upwards beginning at a negative number.drfrostmaths.com/explorer.php?ssid=4901
85cPrimary, SecondaryCount backwards beginning at a negative number.drfrostmaths.com/explorer.php?ssid=4902
85dSecondary, PrimarySkip count backwards through zero.drfrostmaths.com/explorer.php?ssid=4903
85eSecondary, PrimarySkip counting beginning at a negative number.drfrostmaths.com/explorer.php?ssid=4904
85fSecondary, PrimaryRead negative integers off a number line.drfrostmaths.com/explorer.php?ssid=4905
85gSecondary, PrimaryPlace negative integers on a number line.drfrostmaths.com/explorer.php?ssid=4906
85hSecondary, PrimaryRead a negative number off a number line, including decimals.drfrostmaths.com/explorer.php?ssid=1385https://www.youtube.com/embed/zwhOTX_pXBYK185
85iSecondary, PrimaryPlace a negative number on a number line, including decimals.drfrostmaths.com/explorer.php?ssid=4907
86Exam Practice: Find terms of a sequence given a term-to-term rule.drfrostmaths.com/explorer.php?ssid=77https://www.youtube.com/embed/CcUsuC5YmZYE86
86Primary, SecondaryExam Practice: Comparing and ordering positive and negative numbersdrfrostmaths.com/explorer.php?ssid=406https://www.youtube.com/embed/NKidNS1AurEE86
86aDELETED Find a later term in an arithmetic sequence.drfrostmaths.com/explorer.php?ssid=964K159
86aPrimary, SecondaryCompare two integers where one is negative using inequalities.drfrostmaths.com/explorer.php?ssid=4908
86bPrimary, SecondaryCompare two integers where both are negative using inequalities.drfrostmaths.com/explorer.php?ssid=1395K338
86cPrimary, SecondaryOrder a set of negative integers.drfrostmaths.com/explorer.php?ssid=4909
86dPrimary, SecondaryOrder a set of positive and negative integers.drfrostmaths.com/explorer.php?ssid=902https://www.youtube.com/embed/RR0fROLPCQ4K186
86eSecondary, PrimaryCompare two numbers (including decimals) where at least one is negative using inequalities.drfrostmaths.com/explorer.php?ssid=4910
86fSecondary, PrimaryOrder a set of positive and negative numbers (including decimals).drfrostmaths.com/explorer.php?ssid=4911
86gSecondary, PrimaryRecognise the absolute value of a positive or negative integer to compare their size. drfrostmaths.com/explorer.php?ssid=4912
87Secondary, PrimaryExam Practice: Using negative numbers in contextdrfrostmaths.com/explorer.php?ssid=570E87
87aSecondary, PrimaryDELETED Find the difference between two temperatures.drfrostmaths.com/explorer.php?ssid=1392https://www.youtube.com/embed/78wIcX3JbQgK228
87aSecondary, PrimaryRead negative numbers from a thermometer.drfrostmaths.com/explorer.php?ssid=4913
87bSecondary, PrimaryDELETED Determine a new temperature after a change.drfrostmaths.com/explorer.php?ssid=1393https://www.youtube.com/embed/ZxFxP9gCcQgK229
87bSecondary, PrimaryCalculate a new value after a decrease, where the original is positive and the new one is negative. drfrostmaths.com/explorer.php?ssid=4914
87cSecondary, PrimaryCalculate a new value after an increase, where the original is negative and the new one is positive.drfrostmaths.com/explorer.php?ssid=4915
87dSecondary, PrimaryCalculate the difference between two values where one is positive and one is negative.drfrostmaths.com/explorer.php?ssid=4916
87eSecondary, PrimaryCalculate a new value after a decrease, where both the original and new value are negative. drfrostmaths.com/explorer.php?ssid=4917
87fPrimary, SecondaryCalculate a new value after an increase, where both the original and new value are negative. drfrostmaths.com/explorer.php?ssid=4918
87gSecondary, PrimaryCalculate the difference between two values where both are negative.drfrostmaths.com/explorer.php?ssid=4919
88Secondary, PrimaryExam Practice: Power notation and calculate simple powers, e.g. squares, cubesdrfrostmaths.com/explorer.php?ssid=55https://www.youtube.com/embed/u3V9aJFkTiME88
88aPrimary, SecondaryIdentify square numbers.drfrostmaths.com/explorer.php?ssid=947https://www.youtube.com/embed/yv0wZ-QCgSoK22
88bPrimary, SecondaryIdentify cube numbers.drfrostmaths.com/explorer.php?ssid=948https://www.youtube.com/embed/kj7ApsmRpbQK23
88cSecondary, PrimaryCalculate squares or cubes of a number.drfrostmaths.com/explorer.php?ssid=605https://www.youtube.com/embed/D34oUmyuwPYK18
89Primary, SecondaryExam Practice: Completing short divisions with no remaindersdrfrostmaths.com/explorer.php?ssid=329https://www.youtube.com/embed/qre2IGmKKAoE89
89aSecondary, PrimaryUse 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
89bSecondary, PrimaryUse 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=624https://www.youtube.com/embed/S3oF6N4r1jcK16
90Exam Practice: Extend multiplicative scaling to quantities which are inversely proportional.drfrostmaths.com/explorer.php?ssid=354https://www.youtube.com/embed/Eun_y46yKUYE90
90Secondary, PrimaryExam Practice: Completing long divisions with no remaindersdrfrostmaths.com/explorer.php?ssid=4203E90
90aSecondary, PrimaryUse long division to divide any integer by a single-digit integer, with an integer answer and no remainders.drfrostmaths.com/explorer.php?ssid=4921
90bSecondary, PrimaryUse long division to divide any integer by a double-digit integer, with an integer answer and no remainders.drfrostmaths.com/explorer.php?ssid=625https://www.youtube.com/embed/2-udnEJkcHMK17
91Secondary, PrimaryExam Practice: Completing divisions with remainders as integersdrfrostmaths.com/explorer.php?ssid=4204E91
91aSecondary, PrimaryDivide a two-digit integer by a single-digit integer, with integer remainder.drfrostmaths.com/explorer.php?ssid=4922
91bSecondary, PrimaryDivide a three-digit or four-digit integer by a single-digit integer, with integer remainder.drfrostmaths.com/explorer.php?ssid=1639
91cSecondary, PrimaryDivide any integer by a double-digit integer, with integer remainder.drfrostmaths.com/explorer.php?ssid=1644
91dSecondary, PrimaryInterpret integer remainders in context.drfrostmaths.com/explorer.php?ssid=1682
92Primary, SecondaryExam Practice: Completing divisions with remainders as fractions and decimalsdrfrostmaths.com/explorer.php?ssid=4205E92
92aSecondary, PrimaryDivide any integer by a single-digit integer, giving the remainder as a fraction.drfrostmaths.com/explorer.php?ssid=1643
92bSecondary, PrimaryDivide any integer by a single-digit integer, giving the remainder as a decimal. drfrostmaths.com/explorer.php?ssid=1641
92cSecondary, PrimaryDivide any integer by a double-digit integer, giving the remainder as a fraction.drfrostmaths.com/explorer.php?ssid=1645
92dPrimary, SecondaryDivide any integer by a double-digit integer, giving the remainder as a decimal. drfrostmaths.com/explorer.php?ssid=1646
92eSecondary, PrimaryInterpret fraction and decimal remainders in context.drfrostmaths.com/explorer.php?ssid=4923
93Primary, SecondaryExam Practice: Halfway between two numbersdrfrostmaths.com/explorer.php?ssid=4206E93
93aSecondary, PrimaryFind the number halfway between two integers.drfrostmaths.com/explorer.php?ssid=4924
93bSecondary, PrimaryFind an integer given another and their halfway point.drfrostmaths.com/explorer.php?ssid=4925
94Primary, SecondaryExam Practice: Common multiples by listingdrfrostmaths.com/explorer.php?ssid=558E94
94aSecondary, PrimaryIdentify common multiples of 2 numbers by listing.drfrostmaths.com/explorer.php?ssid=1674
94bSecondary, PrimaryIdentify common multiples of more than 2 numbers by listing.drfrostmaths.com/explorer.php?ssid=4926
95Secondary, PrimaryExam Practice: Common factors by listingdrfrostmaths.com/explorer.php?ssid=559E95
95aSecondary, PrimaryIdentify common factors of 2 numbers by listing.drfrostmaths.com/explorer.php?ssid=4927
95bSecondary, PrimaryIdentify common factors of more than 2 numbers by listing.drfrostmaths.com/explorer.php?ssid=4928
96Primary, SecondaryExam Practice: Highest Common Factor and Lowest Common Multiple by listingdrfrostmaths.com/explorer.php?ssid=4207E96
96aSecondary, PrimaryDetermine the LCM of two numbers using a listing strategy.drfrostmaths.com/explorer.php?ssid=890https://www.youtube.com/embed/rv6ZiR-mlXYK219
96bPrimary, SecondaryDetermine the LCM of more than two numbers using a listing strategy.drfrostmaths.com/explorer.php?ssid=4929
96cPrimary, SecondaryDetermine the HCF of two numbers using a listing strategy.drfrostmaths.com/explorer.php?ssid=889https://www.youtube.com/embed/OSbXpoyKJUQK216
96dPrimary, SecondaryDetermine the HCF of more than two numbers using a listing strategy.drfrostmaths.com/explorer.php?ssid=4930
96ePrimary, SecondaryUse the Lowest Common Multiple in an applied setting.drfrostmaths.com/explorer.php?ssid=4931
96fSecondary, PrimaryUse the Highest Common Factor in an applied setting.drfrostmaths.com/explorer.php?ssid=4932
97Primary, SecondaryExam Practice: Prime numbersdrfrostmaths.com/explorer.php?ssid=29https://www.youtube.com/embed/kiJPCy3kqq4E97
97aPrimary, SecondaryDELETED Identify prime numbers.drfrostmaths.com/explorer.php?ssid=1364https://www.youtube.com/embed/9_L9aKzenrEK61
97aPrimary, SecondaryDetermine whether a number is prime, up to 20.drfrostmaths.com/explorer.php?ssid=4933
97bSecondary, PrimaryDetermine whether a number if prime, up to 100.drfrostmaths.com/explorer.php?ssid=4934
97cSecondary, PrimaryList prime numbers in a range or prime numbers in sequence after a stated prime.drfrostmaths.com/explorer.php?ssid=4935
97dPrimary, SecondaryDetermine whether a given number is prime, even/odd, square and cube.drfrostmaths.com/explorer.php?ssid=4936
97ePrimary, SecondaryUse the sieve of Eratosthenes to determine the list of all primes up to a given number.drfrostmaths.com/explorer.php?ssid=4937
98Primary, SecondaryExam Practice: Fractional equivalence using factors and multiplesdrfrostmaths.com/explorer.php?ssid=4208E98
98aSecondary, PrimaryFind an equivalent fraction through multiplication of the numerator and denominator.drfrostmaths.com/explorer.php?ssid=963https://www.youtube.com/embed/ibZoRXljTq8K46
98bPrimary, SecondaryFind an equivalent fraction through division of the numerator and denominator.drfrostmaths.com/explorer.php?ssid=4938
98cSecondary, PrimaryDetermine if fractions are equivalent.drfrostmaths.com/explorer.php?ssid=4939
98dPrimary, SecondaryWrite a fraction in simplest form. drfrostmaths.com/explorer.php?ssid=596https://www.youtube.com/embed/5HKxLyrdc6cK47
98eSecondary, PrimaryDetermine if a fraction is written in simplest form.drfrostmaths.com/explorer.php?ssid=4940
98fSecondary, PrimaryWrite a proportion as a fraction in its simplest form.drfrostmaths.com/explorer.php?ssid=954https://www.youtube.com/embed/003ZdHgJ54kK48
98gSecondary, PrimaryCalculate what fraction a number is of another, in simplest form.drfrostmaths.com/explorer.php?ssid=1467K704
98hSecondary, PrimaryInterpret values from a graph or table and give the result as a fraction in simplest form.drfrostmaths.com/explorer.php?ssid=4941
99Secondary, PrimaryExam Practice: Comparing and ordering fractions where the denominators are multiples of each otherdrfrostmaths.com/explorer.php?ssid=4209E99
99aSecondary, PrimaryCompare two fractions where denominators are multiples of each other using inequalities. drfrostmaths.com/explorer.php?ssid=4942
99bPrimary, SecondaryOrder fractions where denominators are multiples of each other.drfrostmaths.com/explorer.php?ssid=4943
100Secondary, PrimaryExam Practice: Adding and subtracting fractions where the denominators are multiples of each otherdrfrostmaths.com/explorer.php?ssid=4210E100
100aPrimary, SecondaryAdd fractions with different denominators where one fraction needs changing.drfrostmaths.com/explorer.php?ssid=1483https://www.youtube.com/embed/yGrj8867rAcK705
100bSecondary, PrimarySubtract fractions with different denominators where one fraction needs changing.drfrostmaths.com/explorer.php?ssid=4944
101Secondary, PrimaryExam Practice: Converting between mixed numbers and improper fractionsdrfrostmaths.com/explorer.php?ssid=23https://www.youtube.com/embed/iaEkkoUhWqkE101
101aSecondary, PrimaryWrite an improper fraction as a mixed number.drfrostmaths.com/explorer.php?ssid=601https://www.youtube.com/embed/W6261sjDu_wK171
101bPrimary, SecondaryWrite a mixed number as an improper fraction.drfrostmaths.com/explorer.php?ssid=602https://www.youtube.com/embed/y0EBOCG36D4K172
101cPrimary, SecondaryCompare mixed numbers and fractions with the same denominator using inequality symbols.drfrostmaths.com/explorer.php?ssid=4945
101dPrimary, SecondaryOrder mixed numbers and fractions with the same denominator.drfrostmaths.com/explorer.php?ssid=4946
101eSecondary, PrimaryCompare mixed numbers and fractions where one denominator is a multiple of the another using inequality symbols. drfrostmaths.com/explorer.php?ssid=4947
101fSecondary, PrimaryOrder mixed numbers and fractions where one denominator is a multiple of the another.drfrostmaths.com/explorer.php?ssid=4948
102Secondary, PrimaryExam Practice: Adding and subtracting mixed numbers with the same denominatordrfrostmaths.com/explorer.php?ssid=4211E102
102aSecondary, PrimaryAdd proper fractions with the same denominators, expressing the answer as a mixed number.drfrostmaths.com/explorer.php?ssid=4949
102bSecondary, PrimaryAdd mixed numbers with the same denominators, leading to a remainder less than 1.drfrostmaths.com/explorer.php?ssid=4950
102cPrimary, SecondarySubtract mixed numbers with the same denominators, leading to a positive remainder.drfrostmaths.com/explorer.php?ssid=4951
102dSecondary, PrimaryAdd and subtract mixed numbers with the same denominators.drfrostmaths.com/explorer.php?ssid=4952
103Secondary, PrimaryExam Practice: Adding and subtracting mixed numbers where one denominator is a multiple of anotherdrfrostmaths.com/explorer.php?ssid=4212E103
103aSecondary, PrimaryAdd proper fractions where one denominator is a multiple of another, expressing the answer as a mixed number.drfrostmaths.com/explorer.php?ssid=4953
103bSecondary, PrimaryAdd mixed numbers where one denominator is a multiple of another, leading to a remainder less than 1.drfrostmaths.com/explorer.php?ssid=4954
103cSecondary, PrimarySubtract mixed numbers where one denominator is a multiple of another, leading to a positive remainder.drfrostmaths.com/explorer.php?ssid=4955
103dSecondary, PrimaryAdd and subtract mixed numbers where one denominator is a multiple of another.drfrostmaths.com/explorer.php?ssid=4956
104Primary, SecondaryExam Practice: Basic fraction and decimal equivalencedrfrostmaths.com/explorer.php?ssid=4213E104
104aPrimary, SecondaryRecognise decimal equivalents for a whole, half, a quarter and three quarters. drfrostmaths.com/explorer.php?ssid=4957
104bPrimary, SecondaryDetermine decimal equivalents for tenths.drfrostmaths.com/explorer.php?ssid=4958
104cSecondary, PrimaryDetermine decimal equivalents for fifths.drfrostmaths.com/explorer.php?ssid=4959
104dSecondary, PrimaryDetermine decimal equivalents for fractions with denominators that are factors of 100.drfrostmaths.com/explorer.php?ssid=4960
104ePrimary, SecondaryDetermine decimal equivalents for fractions with denominators that are multiples of 100.drfrostmaths.com/explorer.php?ssid=4961
104fPrimary, SecondaryDetermine fraction equivalents for decimals, where the denominators are factors and multiples of 100. drfrostmaths.com/explorer.php?ssid=4962
105Secondary, PrimaryExam Practice: Percentages as values out of 100 and converting between fractions and percentagesdrfrostmaths.com/explorer.php?ssid=4214E105
105aPrimary, SecondaryConvert between percentages and fractions with denominator of 100.drfrostmaths.com/explorer.php?ssid=4963
105bPrimary, SecondaryRecognise percentage equivalents for a whole, half, a quarter and three quarters. drfrostmaths.com/explorer.php?ssid=4964
105cPrimary, SecondaryDetermine percentage equivalents for fifths.drfrostmaths.com/explorer.php?ssid=4965
105dPrimary, SecondaryDetermine percentage equivalents for fractions with denominators that are factors of 100.drfrostmaths.com/explorer.php?ssid=4966
105eSecondary, PrimaryDetermine percentage equivalents for fractions with denominators that are multiples of 100.drfrostmaths.com/explorer.php?ssid=4967
105fSecondary, PrimaryDetermine fraction equivalents for percentages, where the denominators are factors and multiples of 100. drfrostmaths.com/explorer.php?ssid=4968
106Secondary, PrimaryExam Practice: Basic percentage and decimal equivalencedrfrostmaths.com/explorer.php?ssid=4215E106
106aSecondary, PrimaryConvert a percentage up to 100% to a decimal with up to 2 decimal places.drfrostmaths.com/explorer.php?ssid=643https://www.youtube.com/embed/wMMmm9MdznwK56
106bSecondary, PrimaryConvert a decimal with 1 decimal place to a percentage.drfrostmaths.com/explorer.php?ssid=642https://www.youtube.com/embed/BdNm1tn9rvkK55
106cPrimary, SecondaryConvert a decimal with 2 decimal places to a percentage.drfrostmaths.com/explorer.php?ssid=4969
107Secondary, PrimaryExam Practice: Converting between metric units of measuredrfrostmaths.com/explorer.php?ssid=153E107
107aSecondary, PrimaryConvert metric units of length from smaller units to bigger units.drfrostmaths.com/explorer.php?ssid=708https://www.youtube.com/embed/6C948JCQgucK127
107bSecondary, PrimaryConvert metric units of length from bigger units to smaller units.drfrostmaths.com/explorer.php?ssid=709https://www.youtube.com/embed/ccEETbyIpS4K128
107cSecondary, PrimaryConvert units of mass by multiplying.drfrostmaths.com/explorer.php?ssid=1354https://www.youtube.com/embed/T1qnGgqxJ5oK130
107dPrimary, SecondaryConvert units of mass by dividing.drfrostmaths.com/explorer.php?ssid=1355https://www.youtube.com/embed/FcRa8Q0o1tUK131
107eSecondary, PrimaryConvert units of capacity by multiplying.drfrostmaths.com/explorer.php?ssid=1356https://www.youtube.com/embed/DkE_yXtngUMK132
107fSecondary, PrimaryConvert units of capacity by dividing.drfrostmaths.com/explorer.php?ssid=1357https://www.youtube.com/embed/9Hh9zVNOf1YK133
107gSecondary, PrimaryCompare and order measurements in different metric units where conversion is required.drfrostmaths.com/explorer.php?ssid=4970
107hSecondary, PrimaryCalculate with metric measures of length, which may require conversion.drfrostmaths.com/explorer.php?ssid=1373https://www.youtube.com/embed/IlbFK1Er7ycK129
108Primary, SecondaryExam Practice: Equivalence of metric and imperial units (inches, pints, pounds and miles)drfrostmaths.com/explorer.php?ssid=381https://www.youtube.com/embed/DClfLfRIV0ME108
108aSecondary, PrimaryDELETED Convert between imperial and metric measures of distance.drfrostmaths.com/explorer.php?ssid=1374https://www.youtube.com/embed/1x0RSJI8GEAK328
108aPrimary, SecondaryIdentify imperial units of capacity, mass and length.drfrostmaths.com/explorer.php?ssid=4971
108bSecondary, PrimaryDELETED Convert between imperial and metric measures of capacity.drfrostmaths.com/explorer.php?ssid=1456K330
108bSecondary, PrimaryChoose an appropriate imperial unit for real-life measurements.drfrostmaths.com/explorer.php?ssid=4972
108cPrimary, SecondaryDELETED TODO Convert between imperial measures.drfrostmaths.com/explorer.php?ssid=1459K331
108cSecondary, PrimaryConvert between miles and kilometres or between feet and centimetres.drfrostmaths.com/explorer.php?ssid=4973
108dPrimary, SecondaryDELETED TODO Convert between imperial and metric measures of mass.drfrostmaths.com/explorer.php?ssid=1474K329
108dPrimary, SecondaryConvert between pounds and kilograms.drfrostmaths.com/explorer.php?ssid=4974
108ePrimary, SecondaryConvert between litres and pints and between litres and gallons.drfrostmaths.com/explorer.php?ssid=4975
108fPrimary, SecondaryMake calculations involving a conversion between two imperial measures and between imperial and metric.drfrostmaths.com/explorer.php?ssid=4976
108gSecondary, PrimaryMake further calculations, for example involving cost, after a conversion between metric and imperial units.drfrostmaths.com/explorer.php?ssid=4977
108hSecondary, PrimaryConvert time between hours and minutes and hours in decimalised form.drfrostmaths.com/explorer.php?ssid=4978
109Primary, SecondaryExam Practice: Measuring and drawing non-reflex angles in degrees with a protractordrfrostmaths.com/explorer.php?ssid=580E109
109aSecondary, PrimaryMeasure a non-reflex angle with a protractor.drfrostmaths.com/explorer.php?ssid=1117K105
109bSecondary, PrimaryDraw a non-reflex angle with a protractor.drfrostmaths.com/explorer.php?ssid=1118K106
110Primary, SecondaryExam Practice: Sum of the angles on a straight line and angles around a pointdrfrostmaths.com/explorer.php?ssid=119https://www.youtube.com/embed/xngyacmFs5kE110
110aSecondary, PrimaryKnow the properties of angles on a straight line.drfrostmaths.com/explorer.php?ssid=656https://www.youtube.com/embed/O_6MpMdtPZYK103
110bSecondary, PrimaryKnow the properties of angles about a point.drfrostmaths.com/explorer.php?ssid=657https://www.youtube.com/embed/Hx-XCxwCxd0K104
111Secondary, PrimaryExam Practice: Measuring and drawing reflex angles in degrees with a protractordrfrostmaths.com/explorer.php?ssid=4216E111
111aSecondary, PrimaryDetermine the size of a reflex angle by measuring the conjugate angle with a protractor.drfrostmaths.com/explorer.php?ssid=4979
111bSecondary, PrimaryDraw a reflex angle by drawing its conjugate with a protractor.drfrostmaths.com/explorer.php?ssid=4980
112Secondary, PrimaryExam Practice: Estimating the size of an angledrfrostmaths.com/explorer.php?ssid=4217E112
112aSecondary, PrimaryEstimate the size of a non-reflex angle.drfrostmaths.com/explorer.php?ssid=1285https://www.youtube.com/embed/WC2UzzL_vCIK101
112bPrimary, SecondaryEstimate the size of a reflex angle.drfrostmaths.com/explorer.php?ssid=4981
113Secondary, PrimaryExam Practice: Reading and using timetables and distance chartsdrfrostmaths.com/explorer.php?ssid=146E113
113aSecondary, PrimaryFind a time using a timetable.drfrostmaths.com/explorer.php?ssid=1430K86
113bSecondary, PrimaryMake calculations from bus/train timetables.drfrostmaths.com/explorer.php?ssid=1453K87
113cPrimary, SecondaryRead and interpret a distance chart.drfrostmaths.com/explorer.php?ssid=1460K88
113dSecondary, PrimaryMake calculations from a distance chart.drfrostmaths.com/explorer.php?ssid=1732
114Secondary, PrimaryExam Practice: Interpreting and presenting data in simple graphsdrfrostmaths.com/explorer.php?ssid=557E114
114aSecondary, PrimaryInterpret a line graph.drfrostmaths.com/explorer.php?ssid=4982
114bSecondary, PrimaryInterpret a scatter graph.drfrostmaths.com/explorer.php?ssid=4983
114cSecondary, PrimaryInterpret a time graph.drfrostmaths.com/explorer.php?ssid=4984
114dSecondary, PrimaryInterpret other simple graphical representations.drfrostmaths.com/explorer.php?ssid=8334
115Secondary, PrimaryExam Practice: Order of operations (no powers and roots)drfrostmaths.com/explorer.php?ssid=108https://www.youtube.com/embed/XQfDJqhCiFwE115
115aSecondary, PrimaryEvaluate calculations with two operations.drfrostmaths.com/explorer.php?ssid=773https://www.youtube.com/embed/ucdu7vBmZRoK193
115bSecondary, PrimaryEvaluate calculations with three operations.drfrostmaths.com/explorer.php?ssid=1028https://www.youtube.com/embed/I6XHvED8b7EK194
115cSecondary, PrimaryEvaluate calculations with brackets and at least 3 operations.drfrostmaths.com/explorer.php?ssid=1029https://www.youtube.com/embed/OSF0rmTM2q0K195
115dSecondary, PrimaryAdd brackets to the expressions to make a target value.drfrostmaths.com/explorer.php?ssid=4985
116Secondary, PrimaryExam Practice: Comparing and ordering fractions with different denominators.drfrostmaths.com/explorer.php?ssid=4218E116
116aSecondary, PrimaryCompare two fractions with different denominators using inequalities. drfrostmaths.com/explorer.php?ssid=4986
116bPrimary, SecondaryOrder fractions where denominators are different.drfrostmaths.com/explorer.php?ssid=4987
116cPrimary, SecondaryCompare mixed numbers and fractions with different denominators, including improper, using inequalities.drfrostmaths.com/explorer.php?ssid=8293
116dPrimary, SecondaryOrder mixed numbers and fractions with different denominators, including improper.drfrostmaths.com/explorer.php?ssid=8294
117Primary, SecondaryExam Practice: Adding and subtracting fractions with any denominatordrfrostmaths.com/explorer.php?ssid=4219E117
117aPrimary, SecondaryAdd or subtract fractions with different denominators.drfrostmaths.com/explorer.php?ssid=595https://www.youtube.com/embed/KNoP3qhGqncK170
117bSecondary, PrimaryDetermine the remaining fraction given other proportions of the whole. drfrostmaths.com/explorer.php?ssid=4988
118Secondary, PrimaryExam Practice: Adding and subtracting mixed numbers with different denominatorsdrfrostmaths.com/explorer.php?ssid=19https://www.youtube.com/embed/cNEYdIz4MvME118
118Exam Practice: Determine the number of factors of a number using its prime factorisation.drfrostmaths.com/explorer.php?ssid=32E118
118aSecondary, PrimaryAdd proper fractions with different denominators, expressing the answer as a mixed number.drfrostmaths.com/explorer.php?ssid=4989
118bSecondary, PrimaryAdd mixed numbers with different denominators, leading to a remainder less than 1.drfrostmaths.com/explorer.php?ssid=1868
118cSecondary, PrimarySubtract mixed numbers with different denominators, leading to a positive remainder.drfrostmaths.com/explorer.php?ssid=1883
118dSecondary, PrimaryAdd and subtract mixed numbers with different denominators.drfrostmaths.com/explorer.php?ssid=600https://www.youtube.com/embed/lgNc3O8NUGEK178
119Secondary, PrimaryExam Practice: Multiplying fractions and mixed numbers by an integerdrfrostmaths.com/explorer.php?ssid=4220E119
119aPrimary, SecondaryMultiply a fraction by an integer.drfrostmaths.com/explorer.php?ssid=1366https://www.youtube.com/embed/KADWfYU8yFEK174
119bPrimary, SecondaryMultiply a mixed number by an integer.drfrostmaths.com/explorer.php?ssid=1367https://www.youtube.com/embed/q-IqrpEgGXoK181
120Primary, SecondaryExam Practice: Multiplying proper fractions with no simplifyingdrfrostmaths.com/explorer.php?ssid=4221E120
120aSecondary, PrimaryMultiply a fraction by a fraction with no simplification required.drfrostmaths.com/explorer.php?ssid=4990
120bSecondary, PrimarySquare a fraction.drfrostmaths.com/explorer.php?ssid=4991
121Exam Practice: Reason about remainders, including even/oddness.drfrostmaths.com/explorer.php?ssid=375E121
121Secondary, PrimaryExam Practice: Dividing fractions by integersdrfrostmaths.com/explorer.php?ssid=562E121
121aSecondary, PrimaryDivide a fraction by an integer.drfrostmaths.com/explorer.php?ssid=1368https://www.youtube.com/embed/_oqPYMWrREYK176
121bSecondary, PrimaryDivide a mixed number by an integer.drfrostmaths.com/explorer.php?ssid=4992
121cPrimary, SecondaryFind the number halfway between two fractions.drfrostmaths.com/explorer.php?ssid=4993
121dSecondary, PrimaryFind a fraction given another fraction and their halfway point.drfrostmaths.com/explorer.php?ssid=4994
122Primary, SecondaryExam Practice: Multiplying a decimal (up to 2dp) by an integerdrfrostmaths.com/explorer.php?ssid=560E122
122aPrimary, SecondaryMultiply a decimal by an integer.drfrostmaths.com/explorer.php?ssid=1196https://www.youtube.com/embed/k6DxDIgBg0EK33
123Primary, SecondaryExam Practice: Multiplying decimal numbersdrfrostmaths.com/explorer.php?ssid=38https://www.youtube.com/embed/-nIljKtJiT4E123
123aPrimary, SecondaryMultiply decimals by 0.1, 0.01, and 0.001.drfrostmaths.com/explorer.php?ssid=618https://www.youtube.com/embed/3977zwOIqPMK37
123bPrimary, SecondaryMultiply decimals using mental methods.drfrostmaths.com/explorer.php?ssid=1497K708
123cPrimary, SecondaryMultiply a decimal by a decimal (up to 1dp \times 1dp)drfrostmaths.com/explorer.php?ssid=2178
123dPrimary, SecondaryMultiply a decimal by a decimal (up to 2dp \times 2dp)drfrostmaths.com/explorer.php?ssid=1197https://www.youtube.com/embed/8Ww3lJDytAcK34
123ePrimary, SecondaryCalculate a multiplication using a given fact involving decimals.drfrostmaths.com/explorer.php?ssid=1365https://www.youtube.com/embed/S8IvAcW9XU0K39
124Secondary, PrimaryExam Practice: Dividing a decimal (up to 2dp) by an integerdrfrostmaths.com/explorer.php?ssid=561E124
124aSecondary, PrimaryDivide a decimal by a single-digit integer.drfrostmaths.com/explorer.php?ssid=1337https://www.youtube.com/embed/oTCTnOVs4vYK35
124bSecondary, PrimaryDivide 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
124cSecondary, PrimaryFind the number halfway between two decimals.drfrostmaths.com/explorer.php?ssid=4996
124dSecondary, PrimaryFind a number given a decimal and their halfway point.drfrostmaths.com/explorer.php?ssid=4997
125Secondary, PrimaryExam Practice: Dividing decimal numbersdrfrostmaths.com/explorer.php?ssid=39https://www.youtube.com/embed/AYjkIDSf640E125
125aSecondary, PrimaryDividing decimals by 0.1, 0.01, and 0.001.drfrostmaths.com/explorer.php?ssid=619https://www.youtube.com/embed/GZZStSfeY7sK38
125bSecondary, PrimaryDivide a decimal by a decimal using mental methods.drfrostmaths.com/explorer.php?ssid=4998
125cSecondary, PrimaryDivide a decimal by a decimal using a written method.drfrostmaths.com/explorer.php?ssid=1348https://www.youtube.com/embed/W_U9Pu2KD0AK36
125dSecondary, PrimaryCalculate a division using a given factor involving decimals.drfrostmaths.com/explorer.php?ssid=4999
126Secondary, PrimaryExam Practice: Worded problems with all four arithmetic operations and decimals, excluding moneydrfrostmaths.com/explorer.php?ssid=4222E126
126aPrimary, SecondarySolve an arithmetic worded problem involving addition or subtraction, including decimals. drfrostmaths.com/explorer.php?ssid=5000
126bPrimary, SecondarySolve an arithmetic worded problem involving multiplication or division, including decimals. drfrostmaths.com/explorer.php?ssid=5001
126cPrimary, SecondarySolve an arithmetic worded problem involving two-steps of addition or subtraction, including decimals. drfrostmaths.com/explorer.php?ssid=5002
126dSecondary, PrimarySolve an arithmetic worded problem involving two-steps of multiplication or division, including decimals. drfrostmaths.com/explorer.php?ssid=5003
126eSecondary, PrimarySolve an arithmetic worded problem involving two-steps, one addition/subtraction and the other multiplication, including decimals. drfrostmaths.com/explorer.php?ssid=5004
126fPrimary, SecondarySolve an arithmetic worded problem involving two-steps, one addition/subtraction and the other division, including decimals. drfrostmaths.com/explorer.php?ssid=5005
127Primary, SecondaryExam Practice: Calculating with money in decimal notation (GBP/EUR/USD)drfrostmaths.com/explorer.php?ssid=4223E127
127aPrimary, SecondaryCalculate the total cost given the cost of each item.drfrostmaths.com/explorer.php?ssid=5006
127bSecondary, PrimaryCalculate the cost of each item given the total cost.drfrostmaths.com/explorer.php?ssid=5007
127cSecondary, PrimaryDetermine how many items can be bought for a total amount using mental methods.drfrostmaths.com/explorer.php?ssid=5008
127dSecondary, PrimaryDetermine how many items can be bought for a total amount by division.drfrostmaths.com/explorer.php?ssid=5009
127ePrimary, SecondaryCalculate the total cost of multiple items and divide it equally.drfrostmaths.com/explorer.php?ssid=5010
127fPrimary, SecondaryDetermine the amount per item of one type given the total amount spent and the remaining cost.drfrostmaths.com/explorer.php?ssid=5011
127gPrimary, SecondaryDetermine 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
128Secondary, PrimaryExam Practice: Multiplicative scaling with integer scale factors and ratio notationdrfrostmaths.com/explorer.php?ssid=4224E128
128aSecondary, PrimarySolve problems using 'for every' or similar language using rated addition.drfrostmaths.com/explorer.php?ssid=5013
128bSecondary, PrimarySolve problems using 'for every' or similar language using multiplication.drfrostmaths.com/explorer.php?ssid=5014
128cSecondary, PrimaryWrite unequal shares in ratio notation from a diagram (no simplifying).drfrostmaths.com/explorer.php?ssid=5015
128dSecondary, PrimaryWrite unequal shares in ratio notation (no simplifying)drfrostmaths.com/explorer.php?ssid=5016
128ePrimary, SecondarySolve problems involving unequal shares written in ratio notation using rated addition.drfrostmaths.com/explorer.php?ssid=5017
128fSecondary, PrimarySolve problems involving unequal shares written in ratio notation using multiplication.drfrostmaths.com/explorer.php?ssid=5018
128gSecondary, PrimaryCalculate lengths based on a proportional relationship. drfrostmaths.com/explorer.php?ssid=5019
128hSecondary, PrimaryScale recipes with integer scale factors. drfrostmaths.com/explorer.php?ssid=5020
128iSecondary, PrimaryCalculate cost using multiplicative reasoning. drfrostmaths.com/explorer.php?ssid=5021
129Secondary, PrimaryExam Practice: Similar shapes with integer scale factorsdrfrostmaths.com/explorer.php?ssid=4225E129
129aPrimary, SecondaryRepresent the relationship between two lengths in similar shapes in ratio notation.drfrostmaths.com/explorer.php?ssid=5022
129bSecondary, PrimaryCalculate a missing length on a similar shape using an integer scale factor.drfrostmaths.com/explorer.php?ssid=5023
129cSecondary, PrimaryCalculate the integer scale factor between two similar shapes.drfrostmaths.com/explorer.php?ssid=5024
130Primary, SecondaryExam Practice: Calculating a simple percentage of an amount, using chunkingdrfrostmaths.com/explorer.php?ssid=51https://www.youtube.com/embed/m6iDDrIeRZ4E130
130aSecondary, PrimaryCalculate the percentage of an amount without a calculator, using chunking with multiples of 10%.drfrostmaths.com/explorer.php?ssid=833https://www.youtube.com/embed/CMC6D87uK4IK209
130bPrimary, SecondaryCalculate the percentage of an amount without a calculator, using chunking with multiples of 5%.drfrostmaths.com/explorer.php?ssid=1601
130cPrimary, SecondaryCalculate the percentage of an amount without a calculator using 1% chunks.drfrostmaths.com/explorer.php?ssid=1850
130dPrimary, SecondaryCombine different percentages of amounts or find a remaining amount.drfrostmaths.com/explorer.php?ssid=5025
130ePrimary, SecondarySolve problems involving a fraction of an amount and a simple percentage of an amount.drfrostmaths.com/explorer.php?ssid=5026
131Primary, SecondaryExam Practice: Pie charts with simple fractions and percentagesdrfrostmaths.com/explorer.php?ssid=4226E131
131aPrimary, SecondaryMake simple statements about a given pie chart. drfrostmaths.com/explorer.php?ssid=5027
131bPrimary, SecondaryDetermine the fraction represented by a sector of a pie chart, where it it split into equal sectors.drfrostmaths.com/explorer.php?ssid=5028
131cSecondary, PrimaryInterpret the frequency of a sector in a pie chart, where it is split into equal sectors.drfrostmaths.com/explorer.php?ssid=5029
131dPrimary, SecondaryDraw pie charts, where it is split into equal sectors.drfrostmaths.com/explorer.php?ssid=5030
131ePrimary, SecondaryDetermine 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
131fSecondary, PrimaryInterpret 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
131gSecondary, PrimaryDetermine 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
131hSecondary, PrimaryDetermine the percentage represented by a sector of a pie chart, given angle measures (factors of 360).drfrostmaths.com/explorer.php?ssid=5034
131iPrimary, SecondaryInterpret the frequency represented a sector in a pie chart, using percentages.drfrostmaths.com/explorer.php?ssid=5035
131jPrimary, SecondaryCompare sectors of two pie charts, given the fraction or percentage of the sector and a total. drfrostmaths.com/explorer.php?ssid=5036
132Primary, SecondaryExam Practice: Mean as an averagedrfrostmaths.com/explorer.php?ssid=567E132
132aSecondary, PrimaryCalculate the mean of listed data.drfrostmaths.com/explorer.php?ssid=666https://www.youtube.com/embed/csbfXQk4JrkK236
132bSecondary, PrimaryDetermine the total given the mean of a set of data and the total number of data points.drfrostmaths.com/explorer.php?ssid=5037
132cSecondary, PrimaryDetermine a missing number from a list given the mean. drfrostmaths.com/explorer.php?ssid=5038
133Secondary, PrimaryExam Practice: Function machinesdrfrostmaths.com/explorer.php?ssid=410https://www.youtube.com/embed/ztobXGrpdyQE133
133Exam Practice: Determine the range, mode or modal class interval from a frequency table.drfrostmaths.com/explorer.php?ssid=417https://www.youtube.com/embed/fKUEEoCbS9EE133
133aSecondary, PrimaryCalculate the output of a function machine.drfrostmaths.com/explorer.php?ssid=759https://www.youtube.com/embed/B_Dxabn5OPgK365
133bSecondary, PrimaryCalculate the input of a function machine.drfrostmaths.com/explorer.php?ssid=760https://www.youtube.com/embed/II6y-pFdgRcK366
133cSecondary, PrimaryDetermine a missing operation in a function machine.drfrostmaths.com/explorer.php?ssid=2224
133fSecondary, PrimaryDELETED DECOMMISIONED Find the input of a function, given the output.drfrostmaths.com/explorer.php?ssid=1072https://www.youtube.com/embed/615iP8Lva84K591
134Primary, SecondaryExam Practice: Algebraic thinkingdrfrostmaths.com/explorer.php?ssid=373E134
134Exam Practice: Determine the median or median class interval from a frequency table.drfrostmaths.com/explorer.php?ssid=418https://www.youtube.com/embed/X3kzCWmDWAcE134
134aPrimary, SecondaryDetermine possible values for items given some constraints (no algebraic notation).drfrostmaths.com/explorer.php?ssid=5039
134bSecondary, PrimaryDetermine possible values for items given a relationship between them (no algebraic notation).drfrostmaths.com/explorer.php?ssid=5040
134cDELETED Estimate the median from a grouped frequency table.drfrostmaths.com/explorer.php?ssid=1438K627
134cPrimary, SecondaryDetermine possible values of variables given some constraints (with algebraic notation).drfrostmaths.com/explorer.php?ssid=5041
134dPrimary, SecondaryDetermine possible values of variables given a relationship (with algebraic notation). drfrostmaths.com/explorer.php?ssid=5042
134ePrimary, SecondaryDetermine missing numbers in a 3\times3 magic square.drfrostmaths.com/explorer.php?ssid=5043
134fPrimary, SecondaryWork out missing numbers in a structure with overlapping lines.drfrostmaths.com/explorer.php?ssid=5044
135Secondary, PrimaryExam Practice: Introduction to sequencesdrfrostmaths.com/explorer.php?ssid=4227E135
135aSecondary, PrimaryDescribe patterns with 2D shapes.drfrostmaths.com/explorer.php?ssid=5045
135bSecondary, PrimaryComplete patterns with 2D shapes.drfrostmaths.com/explorer.php?ssid=5046
135cSecondary, PrimaryDescribe a given number pattern.drfrostmaths.com/explorer.php?ssid=5047
135dSecondary, PrimaryContinue a given number pattern.drfrostmaths.com/explorer.php?ssid=5048
136Secondary, PrimaryExam Practice: Basic substitution with positive integers (limited to addition, subtraction, division and multiplication)drfrostmaths.com/explorer.php?ssid=568E136
136aPrimary, SecondarySubstitute positive integers into expressions with one variable (single operation).drfrostmaths.com/explorer.php?ssid=706https://www.youtube.com/embed/pV8wWhLq1hUK136
136bPrimary, SecondarySubstitute positive integers into expressions with one variable (single operation plus constant).drfrostmaths.com/explorer.php?ssid=1302https://www.youtube.com/embed/F472MujeUl4K137
136cPrimary, SecondarySubstitute positive integers into simple expressions with more than one variable.drfrostmaths.com/explorer.php?ssid=5049
136dPrimary, SecondarySubstitute positive integers into a simple worded formula.drfrostmaths.com/explorer.php?ssid=5050
136eSecondary, PrimaryDetermine the value of a variable given an equation and the value of one variable within it. drfrostmaths.com/explorer.php?ssid=5051
137Primary, SecondaryExam Practice: Drawing 2D shapes to scale given dimensions and anglesdrfrostmaths.com/explorer.php?ssid=4228E137
137aPrimary, SecondaryDraw a rectangle or square given the side lengths using a ruler. drfrostmaths.com/explorer.php?ssid=5052
137bSecondary, PrimaryDraw a square or rectangle given its perimeter.drfrostmaths.com/explorer.php?ssid=5053
137cSecondary, PrimaryDraw a triangle given the side lengths and angles, using a ruler and protractor.drfrostmaths.com/explorer.php?ssid=5054
137dSecondary, PrimaryDraw a regular polygon given its side lengths and the angle between them.drfrostmaths.com/explorer.php?ssid=5055
138Primary, SecondaryExam Practice: Area of a rectangle by using the formuladrfrostmaths.com/explorer.php?ssid=573E138
138aSecondary, PrimaryCalculate the area of a rectangle.drfrostmaths.com/explorer.php?ssid=664https://www.youtube.com/embed/woMfkfjdM48K114
138bPrimary, SecondaryCalculate a side of a rectangle given its area.drfrostmaths.com/explorer.php?ssid=665https://www.youtube.com/embed/ZBAGUx4ZHU0K115
138cPrimary, SecondaryDetermine the perimeter of a rectangle given its area and one side length. drfrostmaths.com/explorer.php?ssid=5056
138dPrimary, SecondaryDetermine the whole number of small rectangles that can fit exactly within a larger one.drfrostmaths.com/explorer.php?ssid=5057
138ePrimary, SecondaryDetermine an area given a perimeter of a rectangle or square.drfrostmaths.com/explorer.php?ssid=5058
138fSecondary, PrimaryCalculate a cost based on the area of a rectangle.drfrostmaths.com/explorer.php?ssid=5059
139Secondary, PrimaryExam Practice: Area of a parallelogramdrfrostmaths.com/explorer.php?ssid=585E139
139aSecondary, PrimaryCalculate the area of a parallelogram.drfrostmaths.com/explorer.php?ssid=672https://www.youtube.com/embed/KpXQCmah_oQK296
139bPrimary, SecondaryCalculate the area of a parallelogram requiring subtraction of lengths.drfrostmaths.com/explorer.php?ssid=2176
139cSecondary, PrimaryCalculate the base or height of a parallelogram given its area.drfrostmaths.com/explorer.php?ssid=673https://www.youtube.com/embed/KPOSxpf2TiAK297
139dSecondary, PrimaryCalculate the area of a parallelogram given the base, the height and another length.drfrostmaths.com/explorer.php?ssid=1257K298
140Primary, SecondaryExam Practice: Area of a triangledrfrostmaths.com/explorer.php?ssid=124https://www.youtube.com/embed/DYZfxwCXMgAE140
140aPrimary, SecondaryFind the area of a triangle.drfrostmaths.com/explorer.php?ssid=670https://www.youtube.com/embed/5LfNOCcQdZ8K119
140bSecondary, PrimaryFind the base or height of a triangle given its area.drfrostmaths.com/explorer.php?ssid=671https://www.youtube.com/embed/42cZch-B9kwK120
140cSecondary, PrimaryFind the area of a triangle given the base, the height and another length.drfrostmaths.com/explorer.php?ssid=1252K121
141Primary, PrimaryExam Practice: Basic terms in relation to circlesdrfrostmaths.com/explorer.php?ssid=564E141
141aPrimary, PrimaryIdentify the radius, diameter and circumference of a circle.drfrostmaths.com/explorer.php?ssid=2119
141bPrimary, PrimaryUnderstand the relationship between the radius and diameter of a circle.drfrostmaths.com/explorer.php?ssid=2120
141cPrimary, PrimaryRecognise semicircles and quarter circles.drfrostmaths.com/explorer.php?ssid=5060
142Secondary, PrimaryExam Practice: Properties of prisms and cylindersdrfrostmaths.com/explorer.php?ssid=4229E142
142aSecondary, PrimaryRecognise and name prisms and cylinders.drfrostmaths.com/explorer.php?ssid=5061
142bPrimary, SecondaryUnderstand properties of prisms and cylinders. drfrostmaths.com/explorer.php?ssid=5062
143Secondary, PrimaryExam Practice: Nets of 3D shapesdrfrostmaths.com/explorer.php?ssid=563E143
143aSecondary, PrimaryIdentify a 3D shape from its net.drfrostmaths.com/explorer.php?ssid=1116K336
143bSecondary, PrimaryIdentify a net from a given 3D shape.drfrostmaths.com/explorer.php?ssid=5063
143cPrimary, SecondaryDetermine the number of edges, faces and vertices of a 3D shape given its net.drfrostmaths.com/explorer.php?ssid=1473K337
144Secondary, PrimaryExam Practice: Volume of rectilinear prisms using unit length blocksdrfrostmaths.com/explorer.php?ssid=4230E144
144aPrimary, SecondaryDetermine the volume of a cuboid by counting cubes.drfrostmaths.com/explorer.php?ssid=1284https://www.youtube.com/embed/KnE4QtCABxEK310
144bSecondary, PrimaryDetermine the volume of prism with rectilinear cross-section by counting cubes.drfrostmaths.com/explorer.php?ssid=5064
145Secondary, PrimaryExam Practice: Volume of a cube or cuboiddrfrostmaths.com/explorer.php?ssid=114https://www.youtube.com/embed/6s288k0rDbcE145
145aSecondary, PrimaryCalculate the volume of a cuboid.drfrostmaths.com/explorer.php?ssid=675https://www.youtube.com/embed/YieuL7PsKLAK311
145bSecondary, PrimaryCalculate the volume of a cube.drfrostmaths.com/explorer.php?ssid=5065
146SecondaryExam Practice: Platonic solidsdrfrostmaths.com/explorer.php?ssid=4231E146
146aSecondaryKnow the definition of a Platonic solid and recognise the 5 such solids.drfrostmaths.com/explorer.php?ssid=5066
146bSecondaryDetermine the number of vertices, faces of edges of a Platonic solid.drfrostmaths.com/explorer.php?ssid=5067
147Secondary, PrimaryExam Practice: Vertically opposite anglesdrfrostmaths.com/explorer.php?ssid=565E147
147aSecondary, PrimaryIdentify a vertically opposite angle.drfrostmaths.com/explorer.php?ssid=637https://www.youtube.com/embed/H2B9ZzissmMK307
147bSecondary, PrimaryUse vertically opposite angles and angles on a straight line or around a point to find a missing angle.drfrostmaths.com/explorer.php?ssid=5068
148Secondary, PrimaryExam Practice: Properties of triangle lengthsdrfrostmaths.com/explorer.php?ssid=4232E148
148aSecondary, PrimaryUse the triangle inequality to reason about the lengths of sides of a triangle.drfrostmaths.com/explorer.php?ssid=5069
148bPrimary, SecondaryUse the angle-side relationship to order the side lengths or angles of a triangle.drfrostmaths.com/explorer.php?ssid=5070
149Secondary, PrimaryExam Practice: Sum of angles in a triangledrfrostmaths.com/explorer.php?ssid=118https://www.youtube.com/embed/7Q3cDMkz9HEE149
149aSecondary, PrimaryKnow the properties of angles in a triangle.drfrostmaths.com/explorer.php?ssid=655https://www.youtube.com/embed/LJ2u41WO15gK107
149bPrimary, SecondaryUse the exterior angle property of a triangle with an extended side.drfrostmaths.com/explorer.php?ssid=1262https://www.youtube.com/embed/vf3kwP8QmQYK108
149cSecondary, PrimaryUse two extended sides of a triangle to determine an angle.drfrostmaths.com/explorer.php?ssid=5071
149dSecondary, PrimaryCombine angles in a triangle with angles around a point, vertically opposite angles and extended sides.drfrostmaths.com/explorer.php?ssid=5072
150Secondary, PrimaryExam Practice: Base angles of an isosceles triangledrfrostmaths.com/explorer.php?ssid=158https://www.youtube.com/embed/1GuKEZj1PyYE150
150Exam Practice: Determine the velocity from a distance-time graph.drfrostmaths.com/explorer.php?ssid=397https://www.youtube.com/embed/HwVQl11cyOcE150
150aSecondary, PrimaryDetermine an angle in an isosceles triangle given one of the other angles.drfrostmaths.com/explorer.php?ssid=654https://www.youtube.com/embed/A4XCv-I6W50K301
150bPrimary, SecondaryDetermine an angle in a diagram involving an isosceles triangle with an extended side.drfrostmaths.com/explorer.php?ssid=1900
150cSecondary, PrimaryDetermine an angle using multiple angle laws in a diagram that involves an isosceles triangle.drfrostmaths.com/explorer.php?ssid=1899
151Primary, SecondaryExam Practice: Sum of angles in a quadrilateraldrfrostmaths.com/explorer.php?ssid=121https://www.youtube.com/embed/v34sVtg3J5oE151
151aSecondary, PrimaryDetermine an angle in a quadrilateral given its other angles.drfrostmaths.com/explorer.php?ssid=967https://www.youtube.com/embed/6yAkLL5TpkAK309
151bSecondary, PrimaryDetermine an angle involving a quadrilateral with an extended side.drfrostmaths.com/explorer.php?ssid=2248
151cSecondary, PrimaryDetermine an angle in a kite.drfrostmaths.com/explorer.php?ssid=2264
151dSecondary, PrimaryDetermine an angle using multiple angle laws in a diagram that involves a quadrilateral.drfrostmaths.com/explorer.php?ssid=2265
152Secondary, PrimaryExam Practice: Coordinates in all four quadrantsdrfrostmaths.com/explorer.php?ssid=4233E152
152aPrimary, SecondaryPlot a point to complete a square, rectangle or parallelogram.drfrostmaths.com/explorer.php?ssid=1936
152bSecondary, PrimaryDetermine the coordinate of a point in any quadrant.drfrostmaths.com/explorer.php?ssid=856https://www.youtube.com/embed/lQl4ychwhAIK124
152cSecondary, PrimaryPlot a point in any quadrant given its coordinates.drfrostmaths.com/explorer.php?ssid=845https://www.youtube.com/embed/nC-nfkCZeqYK125
152dSecondary, PrimaryDetermine a coordinate on the x or y axis horizontal or vertical from another point.drfrostmaths.com/explorer.php?ssid=1962
152ePrimary, SecondaryUse 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
152fPrimary, SecondaryUse a scale to find the horizontal or vertical distance between any two points in any quadrants.drfrostmaths.com/explorer.php?ssid=5074
152gSecondary, PrimaryDetermine the coordinates of a vertex of a rectangle, given two other points.drfrostmaths.com/explorer.php?ssid=1969
152hPrimary, SecondaryDetermine the coordinates of a vertex of a square, rectangle or parallelogram, given the 3 other coordinates.drfrostmaths.com/explorer.php?ssid=1307https://www.youtube.com/embed/1qcmi4f5JL4K126
152iSecondary, PrimaryProblem solve with coordinates involving reflections or symmetry or shapes.drfrostmaths.com/explorer.php?ssid=2020
152jPrimary, SecondaryProblem solve with coordinates and translated shapes. drfrostmaths.com/explorer.php?ssid=2048
152kPrimary, SecondaryProblem solve with coordinates and congruent rectangles with a connection at a single point.drfrostmaths.com/explorer.php?ssid=2086
152lSecondary, PrimaryProblem solve with coordinates involving repeated congruent shapes with a shared side length. drfrostmaths.com/explorer.php?ssid=2087
152mSecondary, PrimaryProblem solve with coordinates involving repeated congruent shapes along a shared axis. drfrostmaths.com/explorer.php?ssid=2088
153Primary, SecondaryExam Practice: Reflecting a shape on axes using a given mirror linedrfrostmaths.com/explorer.php?ssid=566E153
153aSecondary, PrimaryReflect a shape in the x or y axes.drfrostmaths.com/explorer.php?ssid=1370https://www.youtube.com/embed/rss8WsmX-RYK275
153bSecondary, PrimaryReflect a shape against a vertical or horizontal line drawn on axes.drfrostmaths.com/explorer.php?ssid=1280https://www.youtube.com/embed/sxI_O6pZcisK273
153cPrimary, SecondaryReflect a shape against a diagonal line drawn on axes.drfrostmaths.com/explorer.php?ssid=851https://www.youtube.com/embed/9xtnxNQ8jogK274
154Secondary, PrimaryExam Practice: Translating a shape on axes using directional languagedrfrostmaths.com/explorer.php?ssid=556E154
154aSecondary, PrimaryTranslate a shape on axes using directional language.drfrostmaths.com/explorer.php?ssid=1371https://www.youtube.com/embed/j9vQtIqYYpMK279
154bSecondary, PrimaryDescribe a translation on axes using directional language.drfrostmaths.com/explorer.php?ssid=5075
155SecondaryExam Practice: Adding or subtracting a mixture of positive and negative numbersdrfrostmaths.com/explorer.php?ssid=1https://www.youtube.com/embed/pDjBuX8qgy0E155
155aSecondaryAdd a negative integer to a positive integer.drfrostmaths.com/explorer.php?ssid=5076
155bSecondaryAdd a positive integer to any negative integer.drfrostmaths.com/explorer.php?ssid=1391https://www.youtube.com/embed/2DjCOmkisIIK187
155cSecondaryAdd a negative integer to a negative integer.drfrostmaths.com/explorer.php?ssid=698https://www.youtube.com/embed/YE-pO1JNH74K189
155dSecondaryUse x and -x as additive inverses.drfrostmaths.com/explorer.php?ssid=5077
155eSecondarySubtract a positive integer from a negative integer.drfrostmaths.com/explorer.php?ssid=699https://www.youtube.com/embed/NLwnmlIQH8gK188
155fSecondarySubtract a negative integer from a positive integer.drfrostmaths.com/explorer.php?ssid=700https://www.youtube.com/embed/oiBUV1_pinAK190
155gSecondarySubtract a negative integer from a negative integer.drfrostmaths.com/explorer.php?ssid=5078
155hSecondaryDetermine a missing number in an addition or subtraction with one or more negative numbers.drfrostmaths.com/explorer.php?ssid=5079
155iSecondaryAdd and subtract more than two positive and negative numbers. drfrostmaths.com/explorer.php?ssid=5080
155jSecondaryAdd decimal numbers where one or both are negative.drfrostmaths.com/explorer.php?ssid=5081
155kSecondarySubtract decimal numbers where one or both are negative.drfrostmaths.com/explorer.php?ssid=5082
155lSecondaryAdd fractions where one or both are negative.drfrostmaths.com/explorer.php?ssid=5083
155mSecondarySubtract fractions where one or both are negative.drfrostmaths.com/explorer.php?ssid=5084
156SecondaryExam Practice: Multiplying or dividing a mixture of positive and negative numbersdrfrostmaths.com/explorer.php?ssid=2https://www.youtube.com/embed/S-UEdTAe1-wE156
156aSecondaryMultiply a positive integer and a negative integer.drfrostmaths.com/explorer.php?ssid=701https://www.youtube.com/embed/qWMYcpmeZeoK191
156bSecondaryMultiply two negative integers.drfrostmaths.com/explorer.php?ssid=5085
156cSecondaryDivide a positive integer and a negative integer.drfrostmaths.com/explorer.php?ssid=702https://www.youtube.com/embed/XwXpMezXqEYK192
156dSecondaryDivide two negative integers.drfrostmaths.com/explorer.php?ssid=5086
156eSecondaryDetermine a missing number in a multiplication or division with one or more negative numbers.drfrostmaths.com/explorer.php?ssid=5087
156fSecondaryComplete a multiplication grid involving negative integers.drfrostmaths.com/explorer.php?ssid=5088
156gSecondaryMultiply decimal numbers where one or both are negative.drfrostmaths.com/explorer.php?ssid=5089
156hSecondaryMultiply fractions where one or both are negative.drfrostmaths.com/explorer.php?ssid=5090
156iSecondaryDivide decimal numbers where one or both are negative.drfrostmaths.com/explorer.php?ssid=5091
156jSecondaryDivide fractions where one or both are negative.drfrostmaths.com/explorer.php?ssid=5092
156kSecondaryDetermine 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
156lSecondaryMultiply or divide more than two positive and negative numbers. drfrostmaths.com/explorer.php?ssid=5094
156mSecondaryCalculate expressions involving negative numbers using order of operations (no powers or roots).drfrostmaths.com/explorer.php?ssid=5095
156nSecondaryCalculate the number halfway between a positive and a negative number.drfrostmaths.com/explorer.php?ssid=5096
156oSecondaryCalculate the number halfway between two negative numbers.drfrostmaths.com/explorer.php?ssid=5097
156pSecondaryDetermine a number given another and their midpoint, where at least one is negative.drfrostmaths.com/explorer.php?ssid=5098
157SecondaryExam Practice: Roots and further powersdrfrostmaths.com/explorer.php?ssid=60https://www.youtube.com/embed/uDgwcgnTtaoE157
157Exam Practice: Understand the definition of different 3D shapes.drfrostmaths.com/explorer.php?ssid=112https://www.youtube.com/embed/ep7w4rwjJ0EE157
157aDELETED Understand properties of different 3D shapes.drfrostmaths.com/explorer.php?ssid=1115K335
157aSecondaryRecognise powers of 2, 3, 4, 5 and 10.drfrostmaths.com/explorer.php?ssid=5099
157bSecondaryCalculate an integer power of an integer which is possibly negative.drfrostmaths.com/explorer.php?ssid=1350K441
157bDELETED Know the names of 3D shapes.drfrostmaths.com/explorer.php?ssid=1408https://www.youtube.com/embed/8x2pEHQ62j0K334
157cSecondaryFind a square root of a square number.drfrostmaths.com/explorer.php?ssid=1164https://www.youtube.com/embed/31WNK25NnFIK19
157dSecondaryEstimate the square root of a non-square number.drfrostmaths.com/explorer.php?ssid=5100
157eSecondaryFind the cube root of a number using a calculator.drfrostmaths.com/explorer.php?ssid=1165https://www.youtube.com/embed/6ShneYYJ038K20
157fSecondaryCalculate the nth root of a number for n \ge 4drfrostmaths.com/explorer.php?ssid=5101
157gSecondaryCalculate expressions involving roots and powers using order of operations.drfrostmaths.com/explorer.php?ssid=5102
157hSecondaryDetermine the unknown power in an expression involving positive indices, given its numeric equivalent.drfrostmaths.com/explorer.php?ssid=5103
157iSecondaryDetermine the unknown base in an expression involving positive indices, given its numeric equivalent.drfrostmaths.com/explorer.php?ssid=5104
158SecondaryExam Practice: Numerical index laws (basic)drfrostmaths.com/explorer.php?ssid=56https://www.youtube.com/embed/Z_WCKeO-liYE158
158aSecondaryUse laws of indices for multiplying powers with numeric bases.drfrostmaths.com/explorer.php?ssid=645https://www.youtube.com/embed/oodzA4Qqn-IK432
158bSecondaryUse laws of indices for dividing powers with numeric bases.drfrostmaths.com/explorer.php?ssid=646https://www.youtube.com/embed/yUKJi5ZTFhYK433
158cSecondaryUse laws of indices for raising a power to a power with a numeric base.drfrostmaths.com/explorer.php?ssid=647https://www.youtube.com/embed/hGXRddq5OwkK434
158dSecondaryUse laws of indices for multiplying and dividing powers requiring two steps.drfrostmaths.com/explorer.php?ssid=5105
158eSecondaryRaise a number to the power of 0.drfrostmaths.com/explorer.php?ssid=5106
158fSecondaryDetermine the unknown power in an expression involving index laws with positive indices given its numeric equivalent.drfrostmaths.com/explorer.php?ssid=5107
158gSecondaryDetermine the base power in an expression involving index laws with positive indices, given its numeric equivalent.drfrostmaths.com/explorer.php?ssid=5108
158hSecondaryDELETED Laws of indices for multiplying powers, dividing powers and raising a power to a power.drfrostmaths.com/explorer.php?ssid=1663
159Exam Practice: Identify planes of symmetry in 3D shapes.drfrostmaths.com/explorer.php?ssid=143E159
159SecondaryExam Practice: Reciprocalsdrfrostmaths.com/explorer.php?ssid=4234E159
159aSecondaryUnderstand reciprocals as multiplicative inverses.drfrostmaths.com/explorer.php?ssid=5109
159bSecondaryCalculate the reciprocal of an integer.drfrostmaths.com/explorer.php?ssid=5110
159cSecondaryCalculate the reciprocal of a unit fraction.drfrostmaths.com/explorer.php?ssid=5111
159dSecondaryCalculate the reciprocal of a general fraction.drfrostmaths.com/explorer.php?ssid=5112
159eSecondaryCalculate the reciprocal of a mixed number.drfrostmaths.com/explorer.php?ssid=5113
159fSecondaryCalculate the reciprocal of a decimal.drfrostmaths.com/explorer.php?ssid=1941
160SecondaryExam Practice: Using a scientific calculatordrfrostmaths.com/explorer.php?ssid=331E160
160Exam Practice: Reason about number of edges, faces and vertices on a 3D shape.drfrostmaths.com/explorer.php?ssid=382E160
160aSecondaryUse a calculator to determine the vaue of calculations using basic arithmetic operations, potentially including brackets.drfrostmaths.com/explorer.php?ssid=5114
160bSecondaryUse a calculator to determine the vaue of calculations involving a square or square root.drfrostmaths.com/explorer.php?ssid=5115
160cSecondaryUse a calculator to determine the vaue of calculations involving powers greater than 2.drfrostmaths.com/explorer.php?ssid=5116
160dSecondaryUse a calculator to determine the value of a calculation involving fractions.drfrostmaths.com/explorer.php?ssid=5117
160eSecondaryUse a calculator to determine cube roots and other nth roots.drfrostmaths.com/explorer.php?ssid=5118
161SecondaryExam Practice: Prime factorisation of a numberdrfrostmaths.com/explorer.php?ssid=26https://www.youtube.com/embed/c6Q3Tor_22wE161
161aSecondaryWrite a number below 100 as the product of its prime factors.drfrostmaths.com/explorer.php?ssid=606https://www.youtube.com/embed/easoe0bzFBIK215
161bSecondaryWrite a number over 100 as the product of its prime factors.drfrostmaths.com/explorer.php?ssid=1864
161cSecondaryWrite a product as the product of its prime factors.drfrostmaths.com/explorer.php?ssid=1692
161dSecondaryWrite a product as the product of its prime factors, where some powers are algebraic.drfrostmaths.com/explorer.php?ssid=1874
162SecondaryExam Practice: Lowest Common Multiple or Highest Common Factor by prime factorisationdrfrostmaths.com/explorer.php?ssid=28https://www.youtube.com/embed/WRN1LJDcQ-IE162
162SecondaryWrite a fraction in simplest form by prime factorisation to find the HCF.drfrostmaths.com/explorer.php?ssid=8316
162aSecondaryDetermine the HCF of two numbers which are already prime factorised.drfrostmaths.com/explorer.php?ssid=775https://www.youtube.com/embed/vO30opV_ItEK217
162bSecondaryDetermine the LCM of two numbers which are already prime factorised.drfrostmaths.com/explorer.php?ssid=776https://www.youtube.com/embed/uIOKEnQeoCEK220
162cSecondaryDetermine the Highest Common Factor (HCF) of 2 numbers by prime factorising.drfrostmaths.com/explorer.php?ssid=607https://www.youtube.com/embed/vO30opV_ItEK218
162dSecondaryDetermine the Lowest Common Multiple (LCM) of 2 numbers by prime factorising.drfrostmaths.com/explorer.php?ssid=608https://www.youtube.com/embed/uIOKEnQeoCEK221
162eSecondaryDetermine the Highest Common Factor (HCF) of more than 2 numbers by prime factorising.drfrostmaths.com/explorer.php?ssid=5119
162fSecondaryDetermine the Lowest Common Multiple (LCM) of more than 2 numbers by prime factorising.drfrostmaths.com/explorer.php?ssid=5120
162gSecondaryDetermine the HCF of two or more algebraic expressions.drfrostmaths.com/explorer.php?ssid=1567K747
162hSecondaryDetermine the LCM of two or more algebraic expressions.drfrostmaths.com/explorer.php?ssid=1568K748
162iSecondarySolve problems involving LCM and HCF where one or more of the numbers is unknown.drfrostmaths.com/explorer.php?ssid=5121
163SecondaryExam Practice: Divisibility laws from 3 to 11 and dealing with larger divisorsdrfrostmaths.com/explorer.php?ssid=30E163
163aSecondaryKnow if a number is divisible by 2, 3, 4, 5, 6, 8, 9 or 10.drfrostmaths.com/explorer.php?ssid=1607
163bSecondaryKnow if a number is divisible by 11.drfrostmaths.com/explorer.php?ssid=1608
163cSecondaryDetermine an unknown digit to make a number divisible by 3, 4, 6, 8 or 9.drfrostmaths.com/explorer.php?ssid=2051
163dSecondaryKnow if a number is divisible by a large number by combining divisibility rules.drfrostmaths.com/explorer.php?ssid=5122
164SecondaryExam 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=31E164
164aSecondaryIdentify specific factors of a number expressed a product of powers.drfrostmaths.com/explorer.php?ssid=5123
164bSecondaryKnow the properties of the prime factorisation of a square or cube number.drfrostmaths.com/explorer.php?ssid=5124
164cSecondaryWork 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
164dSecondaryIdentify the number of factors of a number by using its prime factorisation.drfrostmaths.com/explorer.php?ssid=5126
165SecondaryExam Practice: Multiplying proper fractions requiring simplificationdrfrostmaths.com/explorer.php?ssid=582E165
165aSecondaryMultiply a fraction by a fraction, requiring simplification.drfrostmaths.com/explorer.php?ssid=598https://www.youtube.com/embed/wvRIN7Z_jnsK173
165bSecondarySquare and square root fractions.drfrostmaths.com/explorer.php?ssid=1507K711
165cSecondaryCalculate an integer power of a fraction which is possibly negative.drfrostmaths.com/explorer.php?ssid=1386K442
165dSecondaryCombine fractions to determine the fraction of a whole represented by a subgroup.drfrostmaths.com/explorer.php?ssid=5127
165eSecondaryMultiply fractions by a quantity to compare against a total capacity.drfrostmaths.com/explorer.php?ssid=5128
166SecondaryExam Practice: Dividing proper fractionsdrfrostmaths.com/explorer.php?ssid=583E166
166aSecondaryDivide a fraction by a fraction, where no simplification is required.drfrostmaths.com/explorer.php?ssid=5129
166bSecondaryDivide a fraction by a fraction, requiring simplification.drfrostmaths.com/explorer.php?ssid=599https://www.youtube.com/embed/9JCOv1eTfEMK175
166cSecondaryDivide an integer by a fraction.drfrostmaths.com/explorer.php?ssid=1465K177
166dSecondaryCalculate values involving a mixture of arithmetic operations on fractional values.drfrostmaths.com/explorer.php?ssid=5130
166eSecondarySimplify complex fractions. drfrostmaths.com/explorer.php?ssid=5131
167SecondaryExam Practice: Multiplying fractions involving a mixed numberdrfrostmaths.com/explorer.php?ssid=20https://www.youtube.com/embed/wrVlqKtX9rgE167
167aSecondaryMultiply mixed numbers.drfrostmaths.com/explorer.php?ssid=746https://www.youtube.com/embed/rAoOeNbih7UK179
167bSecondaryCombine multiplication of fractions with addition/subtraction.drfrostmaths.com/explorer.php?ssid=5132
168SecondaryExam Practice: Dividing fractions involving a mixed numberdrfrostmaths.com/explorer.php?ssid=21https://www.youtube.com/embed/In5d6yv3Q3YE168
168aSecondaryDetermine the quantity of a unit fraction within a mixed number.drfrostmaths.com/explorer.php?ssid=1939
168bSecondaryDivide non-mixed numbers, converting the answer to a mixed number.drfrostmaths.com/explorer.php?ssid=1940
168cSecondaryDivide a mixed number by a mixed number.drfrostmaths.com/explorer.php?ssid=747https://www.youtube.com/embed/BH9FWoWlNMsK180
168dSecondaryDivide a mixed number by a integer.drfrostmaths.com/explorer.php?ssid=1389https://www.youtube.com/embed/Q7L__W6rdtwK182
168eSecondaryDivide mixed numbers in context.drfrostmaths.com/explorer.php?ssid=2093
168fSecondaryCalculate the mean of fractional values.drfrostmaths.com/explorer.php?ssid=2112
169SecondaryExam Practice: Fractional increase and decreasedrfrostmaths.com/explorer.php?ssid=4235E169
169aSecondaryDetermine an amount after a fractional increase.drfrostmaths.com/explorer.php?ssid=1824https://www.youtube.com/embed/OiC1UfOv1CY
169bSecondaryDetermine an amount after a fractional decrease.drfrostmaths.com/explorer.php?ssid=5133
170SecondaryExam Practice: Fractional original value problemsdrfrostmaths.com/explorer.php?ssid=25https://www.youtube.com/embed/9jMH9ry_MksE170
170aSecondaryDetermine the amount before a unit fraction of it was taken.drfrostmaths.com/explorer.php?ssid=1840https://www.youtube.com/embed/qapRP8-3mx4
170bSecondaryDetermine the amount before a fraction of it was taken.drfrostmaths.com/explorer.php?ssid=1369https://www.youtube.com/embed/BAOhkg2tcAoK184
170cSecondaryDetermine a fraction of an amount given another fraction of that amount.drfrostmaths.com/explorer.php?ssid=1841https://www.youtube.com/embed/Hc4zrkYbIl8
170dSecondaryDetermine the original amount after a fractional increase or decrease.drfrostmaths.com/explorer.php?ssid=1842https://www.youtube.com/embed/C_9CZ8f9qek
170eSecondaryDetermine a total amount when the amount of a remaining quantity is provided.drfrostmaths.com/explorer.php?ssid=1844https://www.youtube.com/embed/HIgacOKpoog
170fSecondaryDetermine the total number of items to subsequently calculate a dependent amount, e.g. cost or weight.drfrostmaths.com/explorer.php?ssid=1843https://www.youtube.com/embed/PA_Cq-5jRhE
170gSecondaryDetermine the original amount where the difference between two fractions of an amount is given.drfrostmaths.com/explorer.php?ssid=1845https://www.youtube.com/embed/hTADmx1WrOo
170hSecondarySolve problems where a single fraction of a quantity is taken combined with some other fixed quantity.drfrostmaths.com/explorer.php?ssid=1848https://www.youtube.com/embed/6eHdJESTyV8
170iSecondarySolve problems where two fractions of amount are taken, when combined with some other fixed quantity.drfrostmaths.com/explorer.php?ssid=1851https://www.youtube.com/embed/8fkuXMXouSI
170jSecondaryDetermine an original amount where a fraction of a fraction or a fraction of a remaining amount is involved.drfrostmaths.com/explorer.php?ssid=1854https://www.youtube.com/embed/JKeXAXZHyfI
171SecondaryExam Practice: Problem solving involving a fraction of an amountdrfrostmaths.com/explorer.php?ssid=4236E171
171aSecondaryDetermine the amount left given the fractions of an amount in other groups.drfrostmaths.com/explorer.php?ssid=1911
171bSecondaryCombine a mixture of fractions of amounts with other amounts.drfrostmaths.com/explorer.php?ssid=1825https://www.youtube.com/embed/w2OEktG2fp4
171cSecondaryDetermine a fraction of a fraction of an amount.drfrostmaths.com/explorer.php?ssid=1846https://www.youtube.com/embed/Xj9xWjvZWck
171dSecondaryCombine fractions of amounts from multiple groups.drfrostmaths.com/explorer.php?ssid=1830https://www.youtube.com/embed/0dOXKxDVVIg
171eSecondaryDetermine the total of a physical quantity where costs or weights are assigned to each group.drfrostmaths.com/explorer.php?ssid=1838https://www.youtube.com/embed/HDWYcefLiMQ
171fSecondaryProblem solve with pay or cost, involving fractions of amounts.drfrostmaths.com/explorer.php?ssid=1849https://www.youtube.com/embed/1pPfny_zFn4
171gSecondaryDetermine the fraction left after taking a fraction of a remaining amount.drfrostmaths.com/explorer.php?ssid=1910
172SecondaryExam Practice: Converting between terminating decimals, fractions and percentages less than 100%drfrostmaths.com/explorer.php?ssid=34https://www.youtube.com/embed/-qa1yzGSP2QE172
172aSecondaryDetermine what percentage of a shape is shaded for a grid size of 100. drfrostmaths.com/explorer.php?ssid=1407https://www.youtube.com/embed/E-0tUEdo_6UK50
172bSecondaryDetermine what percentage of a shape is shaded for more general grid sizes.drfrostmaths.com/explorer.php?ssid=1343K52
172cSecondaryConvert a fraction to a non-recurring decimal using equivalent fractions and place value. drfrostmaths.com/explorer.php?ssid=5134
172dSecondaryConvert a fraction to a percentage, where the denominator is a factor or mutiple of 10, 100 or 1000. drfrostmaths.com/explorer.php?ssid=640https://www.youtube.com/embed/gQyuE9tERgkK51
172eSecondaryConvert a fraction to a percentage, by use of equivalent fractions.drfrostmaths.com/explorer.php?ssid=5135
172fSecondaryConvert a fraction to a non-recurring decimal using division.drfrostmaths.com/explorer.php?ssid=639https://www.youtube.com/embed/WgaKzY6cslYK53
172gSecondaryConvert a fraction to a percentage via an equivalent decimal.drfrostmaths.com/explorer.php?ssid=5136
172hSecondaryConvert a non-recurring decimal to a fraction.drfrostmaths.com/explorer.php?ssid=641https://www.youtube.com/embed/0NaL-F-h86UK54
172iSecondaryConvert a decimal with up to 3 decimal places to a percentage.drfrostmaths.com/explorer.php?ssid=5137
172jSecondaryConvert a percentage to a decimal with up to 3 decimal places.drfrostmaths.com/explorer.php?ssid=5138
172kSecondaryConvert a percentage to a fraction.drfrostmaths.com/explorer.php?ssid=644https://www.youtube.com/embed/UQU442ZJh9IK57
173SecondaryExam Practice: Converting from a fraction to a recurring decimal or a percentagedrfrostmaths.com/explorer.php?ssid=35https://www.youtube.com/embed/O04JAIm5HXYE173
173aSecondaryConvert a fraction to a recurring decimal.drfrostmaths.com/explorer.php?ssid=1572K752
173bSecondaryRecognise common recurring percentages as fractions.drfrostmaths.com/explorer.php?ssid=5139
174SecondaryExam Practice: Converting between terminating decimals, fractions and percentages greater than 100%drfrostmaths.com/explorer.php?ssid=4237E174
174aSecondaryConvert a decimal with up to 3 decimal places to a percentage greater than 100%.drfrostmaths.com/explorer.php?ssid=5140
174bSecondaryConvert a percentage greater than 100% to a decimal with up to 3 decimal places.drfrostmaths.com/explorer.php?ssid=5141
174cSecondaryConvert a percentage greater than 100% to a mixed number or improper fraction.drfrostmaths.com/explorer.php?ssid=5142
174dSecondaryConvert a mixed number or improper fraction to a non-recurring decimal using division.drfrostmaths.com/explorer.php?ssid=5143
174eSecondaryConvert a mixed number or improper fraction to a percentage, by division to a decimal. drfrostmaths.com/explorer.php?ssid=5144
174fSecondaryConvert a non-recurring decimal to a mixed number or improper fraction.drfrostmaths.com/explorer.php?ssid=5145
175SecondaryExam Practice: Comparing and ordering fractions, decimal and percentagesdrfrostmaths.com/explorer.php?ssid=378E175
175aSecondaryDELETED Compare two fractions using =, \ne, < or >.drfrostmaths.com/explorer.php?ssid=1332K340
175aSecondaryCompare a given fraction and decimal using inequalities.drfrostmaths.com/explorer.php?ssid=5146
175bSecondaryCompare a given fraction and percentage using inequalities.drfrostmaths.com/explorer.php?ssid=5147
175cSecondaryCompare a given decimal and percentage using inequalities.drfrostmaths.com/explorer.php?ssid=5148
175dSecondaryOrder a mixture of fractions, decimals and percentages. drfrostmaths.com/explorer.php?ssid=1372https://www.youtube.com/embed/yXziTEWRRCwK58
176SecondaryExam Practice: Multiplicative scaling and numerical proportion relationshipsdrfrostmaths.com/explorer.php?ssid=68https://www.youtube.com/embed/Drx3i7fwU90E176
176aSecondarySolve direct proportion problems using an integer scale factor.drfrostmaths.com/explorer.php?ssid=1298https://www.youtube.com/embed/eBSfyU64VtYK230
176bSecondarySolve direct proportion problems using a non-integer scale factor.drfrostmaths.com/explorer.php?ssid=5149
176cSecondaryComplete a table of values for variables in direct proportion.drfrostmaths.com/explorer.php?ssid=5150
176dSecondaryUse multiplicative reasoning in a recipe to determine the amount of an ingredient needed.drfrostmaths.com/explorer.php?ssid=1314https://www.youtube.com/embed/13mWOpvcRwkK231
176eSecondaryUse multiplicative reasoning in a recipe to determine the quantity of items that can be made.drfrostmaths.com/explorer.php?ssid=5151
176fSecondaryUse multiplicative reasoning in a recipe to determine if there is enough of a certain ingredient.drfrostmaths.com/explorer.php?ssid=5152
176gSecondaryUse proportion to solve best value problems.drfrostmaths.com/explorer.php?ssid=1315https://www.youtube.com/embed/kSDLWDeY1qgK233
176hSecondarySolve inverse proportion problems using a scaling method.drfrostmaths.com/explorer.php?ssid=1299https://www.youtube.com/embed/qGS4s0RuATsK232
176iSecondaryComplete a table of values for variables in inverse proportion.drfrostmaths.com/explorer.php?ssid=5153
176jSecondaryDetermine if two variables are in direct or inverse proportion from a given table of values.drfrostmaths.com/explorer.php?ssid=5154
177SecondaryExam Practice: Exchange ratesdrfrostmaths.com/explorer.php?ssid=455E177
177aSecondaryUse an exchange rate to calculate an amount by multiplying.drfrostmaths.com/explorer.php?ssid=1312https://www.youtube.com/embed/sFoIfbjhnf4K234
177bSecondaryUse an exchange rate to calculate an amount by dividing.drfrostmaths.com/explorer.php?ssid=1313https://www.youtube.com/embed/xKX-dedgV24K235
177cSecondaryDetermine a difference between costs in two different currencies or compare two values.drfrostmaths.com/explorer.php?ssid=2276
177dSecondaryDetermine the maximum number of notes in one currency that can be obtained with an amount in another currency.drfrostmaths.com/explorer.php?ssid=2346
177eSecondaryUse two exchange rates to compare values.drfrostmaths.com/explorer.php?ssid=2347
177fSecondarySolve a problem with multiple arithmetic operations, involving two currencies.drfrostmaths.com/explorer.php?ssid=2348
177gSecondaryUse a conversion between two units of mass or volume along with different currencies.drfrostmaths.com/explorer.php?ssid=2349
177hSecondarySolve problems involving fluctuating exchange rates.drfrostmaths.com/explorer.php?ssid=5155
177iSecondarySolve problems involving exchange rates and commission.drfrostmaths.com/explorer.php?ssid=5156
178SecondaryExam Practice: Conversion graphsdrfrostmaths.com/explorer.php?ssid=414E178
178aSecondaryDraw a conversion graph.drfrostmaths.com/explorer.php?ssid=1463K91
178bSecondaryUse a conversion graph within the scale.drfrostmaths.com/explorer.php?ssid=1464K92
178cSecondaryUse a conversion graph for a value outside the scale.drfrostmaths.com/explorer.php?ssid=5157
179SecondaryExam Practice: Geometric notation for shapes and linesdrfrostmaths.com/explorer.php?ssid=581E179
179aSecondaryUse three-letter angle notation.drfrostmaths.com/explorer.php?ssid=1384https://www.youtube.com/embed/sXyk8eeSqnEK102
179bSecondaryUse lettered notation to identify a line segment or a shape.drfrostmaths.com/explorer.php?ssid=5158
179cSecondaryUse notation to represent parallel and perpendicular lines.drfrostmaths.com/explorer.php?ssid=5159
179dSecondaryUse notation to represent equal side lengths and angles.drfrostmaths.com/explorer.php?ssid=5160
180SecondaryExam Practice: Perimeter of rectilinear shapesdrfrostmaths.com/explorer.php?ssid=4238E180
180aSecondaryFind the perimeter of a composite rectilinear shape.drfrostmaths.com/explorer.php?ssid=1310https://www.youtube.com/embed/JKxm0-UaK3cK116
180bSecondaryFind the perimeter of shapes made from several congruent rectangles.drfrostmaths.com/explorer.php?ssid=1286K117
181SecondaryExam Practice: Area of composite rectilinear shapesdrfrostmaths.com/explorer.php?ssid=4239E181
181aSecondaryFind the area of a composite rectilinear shape.drfrostmaths.com/explorer.php?ssid=1224https://www.youtube.com/embed/-zDWva2jNs8K118
181bSecondaryDetermine a length in a rectilinear shape using its area.drfrostmaths.com/explorer.php?ssid=5161
181cSecondaryDetermine a cost or quantity required associated with a composite rectilinear shape.drfrostmaths.com/explorer.php?ssid=5162
181dSecondaryForm an expression for the area of a composite rectilinear shape.drfrostmaths.com/explorer.php?ssid=1508https://www.youtube.com/embed/YjTMqrjxfGMK712
182SecondaryExam Practice: Area of composite shapes (no circles)drfrostmaths.com/explorer.php?ssid=127https://www.youtube.com/embed/7kp1xSIChNEE182
182aSecondaryCalculate the area of a composite shape involving a triangle and a rectangle, given all lengths.drfrostmaths.com/explorer.php?ssid=2073
182bSecondaryDetermine the area of a composite shape involving a triangle and a rectangle and missing side lengths.drfrostmaths.com/explorer.php?ssid=2041
182cSecondaryDetermine 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
182dSecondaryDetermine the area of a non-standard quadrilateral drawn on a square grid.drfrostmaths.com/explorer.php?ssid=5163
182eSecondaryDetermine the area of a triangle or a rotated rectangle inside another rectangle.drfrostmaths.com/explorer.php?ssid=5164
182fSecondarySolve problems involving cost or quantity involving a rectangular frame.drfrostmaths.com/explorer.php?ssid=5165
182gSecondaryDetermine the area of a pentagon formed from a rectangle and a triangle.drfrostmaths.com/explorer.php?ssid=5166
182hSecondaryDetermine the area of a hexagon formed from a rectangle and a trapezium.drfrostmaths.com/explorer.php?ssid=2109
182iSecondaryDetermine the area of a hexagon formed from a rectangle and two triangles.drfrostmaths.com/explorer.php?ssid=5167
183SecondaryExam Practice: Area of kitesdrfrostmaths.com/explorer.php?ssid=4240E183
183aSecondaryCalculate the area of a kite involving right-angles.drfrostmaths.com/explorer.php?ssid=2023
183bSecondaryCalculate the area of a kite given the length of its two diagonals.drfrostmaths.com/explorer.php?ssid=5168
184SecondaryExam Practice: Area of trapeziumsdrfrostmaths.com/explorer.php?ssid=125https://www.youtube.com/embed/aKqIc1fmjGcE184
184aSecondaryCalculate the area of a trapezium.drfrostmaths.com/explorer.php?ssid=674https://www.youtube.com/embed/a5laQQJgR-wK299
184bSecondaryDetermine a length in a trapezium given its area.drfrostmaths.com/explorer.php?ssid=1288https://www.youtube.com/embed/8ScDWTrmFZgK300
184cSecondarySolve problems involving cost with the area of a trapezium.drfrostmaths.com/explorer.php?ssid=2064
184dSecondaryDetermine a length in a trapezium by equating the area to another shape.drfrostmaths.com/explorer.php?ssid=2065
185SecondaryExam Practice: Related area problemsdrfrostmaths.com/explorer.php?ssid=4241E185
185aSecondaryDetermine the side length or perimeter of a rectangle with the same area as a triangle.drfrostmaths.com/explorer.php?ssid=2055
185bSecondaryDetermine the base or height of a triangle with the same area as a rectangle.drfrostmaths.com/explorer.php?ssid=2056
185cSecondaryDetermine the side lengths of rectangles and triangles with related areas.drfrostmaths.com/explorer.php?ssid=2012
185dSecondaryDetermine the side lengths of rectangles and trapezia with related areas.drfrostmaths.com/explorer.php?ssid=5169
185eSecondaryDetermine the side lengths of triangles and trapezia with related areas.drfrostmaths.com/explorer.php?ssid=5170
186SecondaryExam Practice: Estimating measures in contextdrfrostmaths.com/explorer.php?ssid=4242E186
186aSecondarySuggest a suitable unit of measurement for a physical quantity.drfrostmaths.com/explorer.php?ssid=5171
186bSecondaryEstimate the physical measurement of objects.drfrostmaths.com/explorer.php?ssid=5172
186cSecondaryEstimate a value from limited information using Fermi estimation.drfrostmaths.com/explorer.php?ssid=5173
187SecondaryExam Practice: Rounding a number to a given number of significant figuresdrfrostmaths.com/explorer.php?ssid=43https://www.youtube.com/embed/CKTmUZauibkE187
187aSecondaryRound a decimal number to a given number of significant figures.drfrostmaths.com/explorer.php?ssid=932https://www.youtube.com/embed/UlyCHDCfhe4K223
187bSecondaryRound a whole number to a given number of significant figures.drfrostmaths.com/explorer.php?ssid=2013https://www.youtube.com/embed/LLFf_TXWPiU
188SecondaryExam Practice: Estimating the result of a calculation by first rounding each numberdrfrostmaths.com/explorer.php?ssid=44https://www.youtube.com/embed/Y7Qmot2vWe8E188
188aSecondaryEstimate the answer of a simple calculation.drfrostmaths.com/explorer.php?ssid=806https://www.youtube.com/embed/mmebHnp_qeUK224
188bSecondaryEstimate the result of a division.drfrostmaths.com/explorer.php?ssid=807https://www.youtube.com/embed/cTapGue8CKUK225
188cSecondaryEstimate a value from a problem in context by rounding.drfrostmaths.com/explorer.php?ssid=5174
189SecondaryExam Practice: Rounding errors (round-off errors)drfrostmaths.com/explorer.php?ssid=4243E189
189aSecondaryDetermine the rounding error (round-off error) when the result of a calculation is rounded.drfrostmaths.com/explorer.php?ssid=5175
189bSecondaryDetermine the effect of early rounding on subsequent calculation with that value.drfrostmaths.com/explorer.php?ssid=5176
190SecondaryExam Practice: Algebraic terminologydrfrostmaths.com/explorer.php?ssid=4244E190
190aSecondaryDistinguish between constants, variables, terms, expressions, equations and formulae.drfrostmaths.com/explorer.php?ssid=5177
191SecondaryExam Practice: Multiplying single algebraic terms (no index laws)drfrostmaths.com/explorer.php?ssid=4https://www.youtube.com/embed/QhWFFoxCTqIE191
191aSecondaryMultiply an algebraic term involving one variable by a positive integer.drfrostmaths.com/explorer.php?ssid=5178
191bSecondaryMultiply an algebraic term involving multiple variables by a positive integer.drfrostmaths.com/explorer.php?ssid=5179
191cSecondaryMultiply algebraic terms with positive coefficients (no powers).drfrostmaths.com/explorer.php?ssid=5180
191dSecondaryMultiply algebraic terms with positive coefficients (maximum power of 2).drfrostmaths.com/explorer.php?ssid=610https://www.youtube.com/embed/-raPuNM8tt4K148
191eSecondaryMultiply algebraic terms with negative coefficients (maximum power of 2).drfrostmaths.com/explorer.php?ssid=5181
192SecondaryExam Practice: Dividing single algebraic terms (no index laws)drfrostmaths.com/explorer.php?ssid=5https://www.youtube.com/embed/thSfyYxJJIEE192
192aSecondaryDivide an algebraic term involving one variable by a positive integer.drfrostmaths.com/explorer.php?ssid=5182
192bSecondaryDivide an algebraic term involving multiple variables by a positive integer (maximum power of 2).drfrostmaths.com/explorer.php?ssid=2036
192cSecondaryDivide an algebraic term by an algebraic term with coefficient of 1 (maximum power of 2).drfrostmaths.com/explorer.php?ssid=2037
192dSecondaryDivide algebraic terms with positive coefficients (maximum power of 2).drfrostmaths.com/explorer.php?ssid=2038
192eSecondaryDELETED Divide algebraic terms.drfrostmaths.com/explorer.php?ssid=612https://www.youtube.com/embed/c8UoxNsZC60K150
192eSecondaryDivide algebraic terms with negative coefficients (maximum power of 2).drfrostmaths.com/explorer.php?ssid=5183
192fSecondaryCombine multiplication and division of algebraic terms.drfrostmaths.com/explorer.php?ssid=2039
193SecondaryExam Practice: Collecting like termsdrfrostmaths.com/explorer.php?ssid=3https://www.youtube.com/embed/PC8q9cyCgjIE193
193aSecondaryAdd algebraic terms containing the same variable.drfrostmaths.com/explorer.php?ssid=1748https://www.youtube.com/embed/8NdzmTWgUVs
193bSecondaryAdd and subtract algebraic terms containing the same variable.drfrostmaths.com/explorer.php?ssid=762https://www.youtube.com/embed/aPS8KIsLFYsK141
193cSecondaryCollect like terms involving multiple variables, which are positive and without powers.drfrostmaths.com/explorer.php?ssid=1361https://www.youtube.com/embed/HnHIX0nT3KEK142
193dSecondaryCollect like terms involving multiple variables and without powers.drfrostmaths.com/explorer.php?ssid=609https://www.youtube.com/embed/6jbxQm0kXz0K143
193eSecondaryCollect like terms with powers.drfrostmaths.com/explorer.php?ssid=761https://www.youtube.com/embed/s32zrAyXr5oK144
193fSecondaryCollect like terms with powers and combinations of two variables within each term.drfrostmaths.com/explorer.php?ssid=1722https://www.youtube.com/embed/fdq_Kg6aF0Q
194SecondaryExam Practice: Algebraic index laws (basic)drfrostmaths.com/explorer.php?ssid=4245E194
194aSecondaryUse laws of indices for multiplying powers with algebraic bases.drfrostmaths.com/explorer.php?ssid=5184
194bSecondaryUse laws of indices for dividing powers with algebraic bases.drfrostmaths.com/explorer.php?ssid=5185
194cSecondaryMultiply algebraic terms with powers.drfrostmaths.com/explorer.php?ssid=611https://www.youtube.com/embed/PCMpIaDYWKUK149
194dSecondaryDivide algebraic terms with powers.drfrostmaths.com/explorer.php?ssid=613https://www.youtube.com/embed/D_DMZhKfHUgK151
194eSecondaryRaise an algebraic term to the power of 0.drfrostmaths.com/explorer.php?ssid=5186
194fSecondaryUse laws of indices for raising a power to a power with an algebraic base.drfrostmaths.com/explorer.php?ssid=5187
194gSecondarySimplify an expression using multiple index laws with a single algebraic variable.drfrostmaths.com/explorer.php?ssid=1518K718
194hSecondarySimplify an expression using multiple index laws with a single algebraic variable and fractional indices.drfrostmaths.com/explorer.php?ssid=5188
194iSecondaryRaise an algebraic term to a positive integer power.drfrostmaths.com/explorer.php?ssid=817https://www.youtube.com/embed/jb8juV8Y4JYK439
194jSecondaryRaise an algebraic term containing fractional indices to a positive integer power.drfrostmaths.com/explorer.php?ssid=5189
194kSecondarySimplify an expression using multiple index laws with multiple algebraic variables.drfrostmaths.com/explorer.php?ssid=5190
194lSecondarySplit a fraction using index laws where the exponents are fractional.drfrostmaths.com/explorer.php?ssid=5191
195SecondaryExam Practice: Function machines involving decimals, negative numbers and algebraic inputsdrfrostmaths.com/explorer.php?ssid=4246E195
195aSecondaryCalculate the input or output of a function machine involving a negative value.drfrostmaths.com/explorer.php?ssid=2246
195bSecondaryCalculate the input or output of a function machine involving a decimal value.drfrostmaths.com/explorer.php?ssid=2364
195cSecondaryCalculate the input or output of a function machine involving a fractional value.drfrostmaths.com/explorer.php?ssid=2365
195dSecondaryDetermine an algebraic expression for the output of a function machine.drfrostmaths.com/explorer.php?ssid=2240
195eSecondaryDetermine 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
196SecondaryExam Practice: Further substitution with positive integers (including powers, roots and brackets)drfrostmaths.com/explorer.php?ssid=103https://www.youtube.com/embed/Cnu4wcuGEMwE196
196aSecondarySubstitute positive integers into an expression with one variable, including powers, roots and brackets.drfrostmaths.com/explorer.php?ssid=1030https://www.youtube.com/embed/_3dQufRJ8OoK138
196bSecondarySubstitute positive integers into an expression with two variables, including powers, roots and brackets.drfrostmaths.com/explorer.php?ssid=1031https://www.youtube.com/embed/2HMz6TRh2QgK139
197SecondaryExam Practice: Substitution with decimals, negative integers and fractionsdrfrostmaths.com/explorer.php?ssid=4247E197
197aSecondarySubstitute decimals into basic algebraic expressions involving arithmetic operations.drfrostmaths.com/explorer.php?ssid=5192
197bSecondarySubstitute decimals into more general algebraic expressions, including powers, roots and brackets.drfrostmaths.com/explorer.php?ssid=5193
197cSecondarySubstitute decimals into algebraic expressions with variables on the denominator.drfrostmaths.com/explorer.php?ssid=5194
197dSecondarySubstitute negative numbers into basic algebraic expressions involving arithmetic operations.drfrostmaths.com/explorer.php?ssid=5195
197eSecondarySubstitute negative numbers into more general algebraic expressions, including powers, roots and brackets.drfrostmaths.com/explorer.php?ssid=1032https://www.youtube.com/embed/WUXkIx8R5v0K140
197fSecondarySubstitute negative numbers into algebraic expressions with variables on the denominator.drfrostmaths.com/explorer.php?ssid=5196
197gSecondarySubstitute fractions into basic algebraic expressions involving arithmetic operations.drfrostmaths.com/explorer.php?ssid=5197
197hSecondarySubstitute fractions into more general algebraic expressions, including powers, roots and brackets.drfrostmaths.com/explorer.php?ssid=5198
197iSecondarySubstitute fractions into algebraic expressions with variables on the denominator.drfrostmaths.com/explorer.php?ssid=1944
198SecondaryExam Practice: Forming algebraic expressions and formulae from a given contextdrfrostmaths.com/explorer.php?ssid=104E198
198aSecondaryForm an expression with one operation and one variable.drfrostmaths.com/explorer.php?ssid=1347https://www.youtube.com/embed/s6GJzO1Ff-4K165
198bSecondaryWrite a formula connecting variables with one operation.drfrostmaths.com/explorer.php?ssid=5199
198cSecondaryForm an expression with one variable and two operations.drfrostmaths.com/explorer.php?ssid=1352https://www.youtube.com/embed/gxfkCU-xrwYK166
198dSecondaryWrite a formula connecting variables with multiple operations.drfrostmaths.com/explorer.php?ssid=5200
198eSecondaryWrite a formula connecting two variables from a rule written in words.drfrostmaths.com/explorer.php?ssid=5201
198fSecondaryForm an expression for a total quantity or cost involving two variables.drfrostmaths.com/explorer.php?ssid=1451https://www.youtube.com/embed/LobR0TseB58K167
198gSecondaryForm an expression from the perimeter of a 2D shape.drfrostmaths.com/explorer.php?ssid=1349https://www.youtube.com/embed/rrUAJP6fMEIK168
198hSecondaryForm an expression from the area of a 2D shape.drfrostmaths.com/explorer.php?ssid=5202
198iSecondaryDetermine an expression for an unknown side length given the perimeter or area of a 2D shape.drfrostmaths.com/explorer.php?ssid=5203
199SecondaryExam Practice: Solving linear equations where the variable appears on one side of the equation onlydrfrostmaths.com/explorer.php?ssid=17https://www.youtube.com/embed/Da9cfL1IaukE199
199aSecondaryUnderstand balancing algebraic equations where the same operation is applied to both sides of the equality.drfrostmaths.com/explorer.php?ssid=5204
199bSecondarySolve a one-step linear equation.drfrostmaths.com/explorer.php?ssid=635https://www.youtube.com/embed/TCIi4C2YzRMK145
199cSecondarySolve a two-step equation where the solution is a positive integer.drfrostmaths.com/explorer.php?ssid=658https://www.youtube.com/embed/5JU9Uh4nq-AK146
199dSecondaryDELETED Solve a general two-step equation.drfrostmaths.com/explorer.php?ssid=1119https://www.youtube.com/embed/kjyS3qxx-QkK147
199dSecondarySolve a two-step equation where the solution is a negative integer.drfrostmaths.com/explorer.php?ssid=2129
199eSecondarySolve a general linear equation where the solution may be written as a terminating decimal or a fraction.drfrostmaths.com/explorer.php?ssid=2134
199fSecondarySolve a linear equation requiring simplification, with the variable on one side.drfrostmaths.com/explorer.php?ssid=2168
199gSecondarySolve 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
199hSecondarySolve a linear equation with possible negative coefficient of the unknown.drfrostmaths.com/explorer.php?ssid=842https://www.youtube.com/embed/VDKMWvBTGwAK370
200SecondaryExam Practice: Solving equations involving integer powers and their roots as inversesdrfrostmaths.com/explorer.php?ssid=415https://www.youtube.com/embed/AZg6ngfFlt4E200
200aSecondarySolve a one-step equation involving a variable squared.drfrostmaths.com/explorer.php?ssid=5206
200bSecondarySolve a one-step equation involving a variable cubed.drfrostmaths.com/explorer.php?ssid=8314
200cSecondarySolve a one-step equation involving a power of a variable where the power is 4 or above.drfrostmaths.com/explorer.php?ssid=8315
200dSecondarySolve a one-step equation involving a square root of a variable.drfrostmaths.com/explorer.php?ssid=5207
200eSecondarySolve a one-step equation involving a cube root of a variable.drfrostmaths.com/explorer.php?ssid=5208
200fSecondarySolve a one-step equation involving the nth root of a variable, where n>3drfrostmaths.com/explorer.php?ssid=5209
200gSecondarySolve a two-step equation involving a power of a variable.drfrostmaths.com/explorer.php?ssid=1686
200hSecondarySolve a two-step equation involving the nth root of a variable.drfrostmaths.com/explorer.php?ssid=5210
200iSecondarySolve a multi-step equation involving powers and roots of a variable.drfrostmaths.com/explorer.php?ssid=5211
200jSecondarySolve an equation where a power or root is involved on the denominator of a fraction.drfrostmaths.com/explorer.php?ssid=5212
201SecondaryExam Practice: Changing the subject where the variable appears once only, excluding bracketsdrfrostmaths.com/explorer.php?ssid=14https://www.youtube.com/embed/y-cGpOFCB3QE201
201aSecondaryChange the subject of a linear formula requiring a single step.drfrostmaths.com/explorer.php?ssid=1008https://www.youtube.com/embed/euTMpMDGtQEK359
201bSecondaryChange the subject of a linear formula requiring two steps (including simple divisions).drfrostmaths.com/explorer.php?ssid=974https://www.youtube.com/embed/5a3L6Q1uymIK360
201cSecondaryChange 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
201dSecondaryChange the subject of a formula where the subject appears on the denominator of a fraction.drfrostmaths.com/explorer.php?ssid=2337
201eSecondaryChange the subject of a linear formula where the coefficient of the subject is negative.drfrostmaths.com/explorer.php?ssid=2341
201fSecondaryChange the subject of a formula where the subject is squared.drfrostmaths.com/explorer.php?ssid=979https://www.youtube.com/embed/3xqx7C1opW4K363
201gSecondaryChange the subject of a simple formula with a power of the subject.drfrostmaths.com/explorer.php?ssid=2340
201hSecondaryChange the subject of a simple formula with a root of the subject.drfrostmaths.com/explorer.php?ssid=977https://www.youtube.com/embed/JhaQGWmEJs8K364
201iSecondaryDELETED Change the subject of a linear formula with an expression divided by a constant or variable.drfrostmaths.com/explorer.php?ssid=2338
202SecondaryExam Practice: Distinguishing between different types of sequencesdrfrostmaths.com/explorer.php?ssid=4248E202
202aSecondaryIdentify named sequences such as square numbers, cube numbers, triangular numbers and the Fibonacci sequence.drfrostmaths.com/explorer.php?ssid=5213
202bSecondaryIdentify if a sequence is linear, quadratic or geometric.drfrostmaths.com/explorer.php?ssid=5214
203SecondaryExam Practice: Describing, generating and continuing sequences using term-to-term rulesdrfrostmaths.com/explorer.php?ssid=419https://www.youtube.com/embed/HpvmiG4-4YsE203
203aSecondaryDescribe the term-to-term rule of a sequence.drfrostmaths.com/explorer.php?ssid=1979
203bSecondaryDraw the next term in a pictorial sequence. drfrostmaths.com/explorer.php?ssid=5215
203cSecondaryDraw a later term in a pictorial sequence. drfrostmaths.com/explorer.php?ssid=8322
203dSecondaryDetermine the number of items (e.g. squares) in a subsequent shape, following an arithmetic sequence.drfrostmaths.com/explorer.php?ssid=1980
203eSecondaryGenerate an arithmetic sequence given the first term and the common difference.drfrostmaths.com/explorer.php?ssid=5216
203fSecondaryGenerate a quadratic sequence given the first term and the common second difference.drfrostmaths.com/explorer.php?ssid=5217
203gSecondaryGenerate a geometric sequence given the first term and the common ratio.drfrostmaths.com/explorer.php?ssid=5218
203hSecondaryDetermine the next term(s) in an arithmetic sequence.drfrostmaths.com/explorer.php?ssid=1163https://www.youtube.com/embed/1Cq5nPggsIYK158
203iSecondaryDetermine the next term(s) in a quadratic sequence.drfrostmaths.com/explorer.php?ssid=5219
203jSecondaryDetermine the next term(s) in a geometric sequence.drfrostmaths.com/explorer.php?ssid=1757
203kSecondaryDetermine a later term in an arithmetic sequence.drfrostmaths.com/explorer.php?ssid=2005
203lSecondaryDetermine a later term in a quadratic sequence.drfrostmaths.com/explorer.php?ssid=1992
203mSecondaryDetermine a later term in a geometric sequence.drfrostmaths.com/explorer.php?ssid=1586K761
203nSecondaryDetermine a missing term in an arithmetic sequence with gaps.drfrostmaths.com/explorer.php?ssid=1991
203oSecondaryDetermine a missing term in a geometric sequence with gaps.drfrostmaths.com/explorer.php?ssid=1731
203pSecondaryContinue a Fibonacci-style sequence.drfrostmaths.com/explorer.php?ssid=1736https://www.youtube.com/embed/03KPPtuYUaA
203qSecondaryContinue an arithmetic sequence where terms are algebraic.drfrostmaths.com/explorer.php?ssid=5220
203rSecondaryContinue a geometric sequence where terms are algebraic.drfrostmaths.com/explorer.php?ssid=1735
203sSecondaryContinue a Fibonacci-type sequence where terms are algebraic.drfrostmaths.com/explorer.php?ssid=5221
204SecondaryExam Practice: Generating terms of a sequence given a position-to-term ruledrfrostmaths.com/explorer.php?ssid=76https://www.youtube.com/embed/IqcVmglS36AE204
204aSecondaryGenerate any term in a sequence using a linear nth term.drfrostmaths.com/explorer.php?ssid=888https://www.youtube.com/embed/TmasnxrjPasK163
204bSecondaryGenerate the first few terms of a sequence given a linear nth term.drfrostmaths.com/explorer.php?ssid=1752
204cSecondaryGenerate terms in a sequence using a quadratic nth term.drfrostmaths.com/explorer.php?ssid=5222
204dSecondaryGenerate terms in a sequence using a geometric nth term.drfrostmaths.com/explorer.php?ssid=5223
204eSecondaryGenerate terms in a sequence using an nth term with brackets or powers greater than 2.drfrostmaths.com/explorer.php?ssid=1049https://www.youtube.com/embed/rpDKPQkQ8FoK164
205SecondaryExam Practice: nth term formula for arithmetic sequences (no standard formulae)drfrostmaths.com/explorer.php?ssid=78https://www.youtube.com/embed/ujsVk8zqqFAE205
205aSecondaryDetermine the nth term formula for an arithmetic sequence by comparison to an drfrostmaths.com/explorer.php?ssid=5224
205bSecondaryDetermine the nth term formula for an ascending arithmetic sequence.drfrostmaths.com/explorer.php?ssid=750https://www.youtube.com/embed/scFJlXIM2WAK160
205cSecondaryDetermine the nth term formula for a descending arithmetic sequence.drfrostmaths.com/explorer.php?ssid=1378https://www.youtube.com/embed/8S-ZgTxjpbcK161
205dSecondaryDetermine the nth term formula for shapes in a sequence.drfrostmaths.com/explorer.php?ssid=2066
205eSecondaryDetermine the nth term for a linear sequence with fractional terms.drfrostmaths.com/explorer.php?ssid=5225
205fSecondaryDetermine the nth term formula for an ascending arithmetic sequence where n is algebraic.drfrostmaths.com/explorer.php?ssid=2089
205gSecondaryUse an existing formula for a linear sequence to determine the formula for a similar sequence.drfrostmaths.com/explorer.php?ssid=5226
206SecondaryExam Practice: Determining if a term belongs in an arithmetic sequencedrfrostmaths.com/explorer.php?ssid=81https://www.youtube.com/embed/ahgHYPquFK0E206
206aSecondaryDetermine whether a number is a term in an arithmetic sequence.drfrostmaths.com/explorer.php?ssid=1338https://www.youtube.com/embed/L9ld4zWtg18K162
206bSecondaryDetermine the term number of a particular term in an arithmetic sequence.drfrostmaths.com/explorer.php?ssid=2138
206cSecondaryDetermine the term in an arithmetic sequence closest to a particular number.drfrostmaths.com/explorer.php?ssid=2139
207SecondaryExam Practice: Mode, median, range from listed datadrfrostmaths.com/explorer.php?ssid=340https://www.youtube.com/embed/MDv7JYfw7eYE207
207aSecondaryDetermine the mode from listed data.drfrostmaths.com/explorer.php?ssid=669https://www.youtube.com/embed/SeH31kH5VUAK237
207bSecondaryDetermine the median from listed data.drfrostmaths.com/explorer.php?ssid=667https://www.youtube.com/embed/00xV5v85GqwK238
207cSecondaryCalculate the range from listed data.drfrostmaths.com/explorer.php?ssid=668https://www.youtube.com/embed/4cs6RrYWd0wK239
207dSecondaryDetermine the median, mode and range from a table.drfrostmaths.com/explorer.php?ssid=1894
207eSecondaryDetermine the median, mode and range from a chart. drfrostmaths.com/explorer.php?ssid=1901
207fSecondarySelect an appropriate average for a given context.drfrostmaths.com/explorer.php?ssid=1914
207gSecondaryCompare two sets of data using averages and the range.drfrostmaths.com/explorer.php?ssid=1916
207hSecondaryDetermine the effect of an additional very large or very small value on the median and mean.drfrostmaths.com/explorer.php?ssid=5227
207iSecondaryDetermine the change to the data that results in a change of the median, mode or range. drfrostmaths.com/explorer.php?ssid=1915
207jSecondaryDetermine the median, mode and range from a list of algebraic data.drfrostmaths.com/explorer.php?ssid=1919
207kSecondaryDetermine a list of integers given information about their mean, median, range and mode.drfrostmaths.com/explorer.php?ssid=958https://www.youtube.com/embed/DV5kUU5uBbwK241
208SecondaryExam Practice: Combining means or dealing with changes to a meandrfrostmaths.com/explorer.php?ssid=343https://www.youtube.com/embed/QpM3ZpIICCEE208
208aSecondaryDetermine an unknown value given the mean and the other listed values.drfrostmaths.com/explorer.php?ssid=957https://www.youtube.com/embed/IinVQwJjU1oK240
208bSecondaryDetermine the value that resulted in a change of mean.drfrostmaths.com/explorer.php?ssid=970https://www.youtube.com/embed/h2ufot_DGfgK242
208cSecondaryDetermine the resulting mean when a value is removed or added.drfrostmaths.com/explorer.php?ssid=971https://www.youtube.com/embed/fn6RFYVkUvwK243
208dSecondaryDetermine the combined mean of two groups.drfrostmaths.com/explorer.php?ssid=972https://www.youtube.com/embed/gPDUOY0-VyEK244
208eSecondaryDetermine the mean of one group given the combined mean and the mean of the other group.drfrostmaths.com/explorer.php?ssid=973https://www.youtube.com/embed/pDl5dBGV04AK245
209SecondaryExam Practice: Circumference of a full circledrfrostmaths.com/explorer.php?ssid=476E209
209aSecondaryCalculate the circumference of a full circle given its radius.drfrostmaths.com/explorer.php?ssid=711https://www.youtube.com/embed/QXo0wJ7lMhMK287
209bSecondaryCalculate the circumference of a full circle given its diameter.drfrostmaths.com/explorer.php?ssid=713https://www.youtube.com/embed/R9pXICTkntEK288
209cSecondaryCalculate the exact circumference of a full circle.drfrostmaths.com/explorer.php?ssid=1597https://www.youtube.com/embed/9cbSmBkSS7o
209dSecondaryDetermine the radius or diameter of a full circle given its circumference.drfrostmaths.com/explorer.php?ssid=717https://www.youtube.com/embed/RWQ7uq1vhe0K289
209eSecondaryDetermine a cost involving the circumference of a full circle.drfrostmaths.com/explorer.php?ssid=1998https://www.youtube.com/embed/rWnYtXPgq1Q
209fSecondaryDetermine the circumference of a full circle given the area or perimeter of a square it is inscribed in.drfrostmaths.com/explorer.php?ssid=2011https://www.youtube.com/embed/mXkJeOmabUw
209gSecondaryDetermine the number of revolutions of a wheel across a given distance.drfrostmaths.com/explorer.php?ssid=2022https://www.youtube.com/embed/3kFdUghaBog
210SecondaryExam Practice: Area of a full circledrfrostmaths.com/explorer.php?ssid=126https://www.youtube.com/embed/jOwlhcRGwdkE210
210aSecondaryCalculate the area of a full circle given its radius.drfrostmaths.com/explorer.php?ssid=710https://www.youtube.com/embed/i0BYZx4cJgcK290
210bSecondaryCalculate the area of a full circle given its diameter.drfrostmaths.com/explorer.php?ssid=712https://www.youtube.com/embed/4Z-7Clyh8LMK291
210cSecondaryCalculate the exact area of a full circle.drfrostmaths.com/explorer.php?ssid=1598
210dSecondaryDetermine the radius of a circle given its area.drfrostmaths.com/explorer.php?ssid=716https://www.youtube.com/embed/Bkif_A8ZMAUK292
210eSecondaryDetermine missing lengths in a circle or a rectangle with related areas.drfrostmaths.com/explorer.php?ssid=5228
210fSecondaryDetermine missing lengths in a circle or a triangle with related areas.drfrostmaths.com/explorer.php?ssid=5229
211SecondaryExam Practice: Area or perimeter of simple fractions of circlesdrfrostmaths.com/explorer.php?ssid=477E211
211aSecondaryCalculate the area of a simple fraction of a circle.drfrostmaths.com/explorer.php?ssid=714https://www.youtube.com/embed/COF_NjSfE54K294
211bSecondaryDetermine the perimeter of a simple fraction of a circle.drfrostmaths.com/explorer.php?ssid=715https://www.youtube.com/embed/5haP2kYPoE0K293
211cSecondaryCalculate the exact area of a simple fraction of a circle.drfrostmaths.com/explorer.php?ssid=1599https://www.youtube.com/embed/-rFmCV6WDBo
211dSecondaryDetermine the exact perimeter of a simple fraction of a circle.drfrostmaths.com/explorer.php?ssid=1600https://www.youtube.com/embed/D4HMeuJvoSk
211eSecondarySolve problems involving the cost of covering a fraction of a circle or the quantity of materials needed.drfrostmaths.com/explorer.php?ssid=2034https://www.youtube.com/embed/nTGuKA4DTPU
211fSecondaryEquate the area of fractions of circles or full circles to determine a length.drfrostmaths.com/explorer.php?ssid=2035https://www.youtube.com/embed/GRaF9HP8_sk
211gSecondaryDetermine the shaded area where a semicircle is enclosed in a rectangle.drfrostmaths.com/explorer.php?ssid=5230
212SecondaryExam Practice: Perimeter of compound shapes that includes curved edgesdrfrostmaths.com/explorer.php?ssid=351E212
212aSecondaryDetermine the perimeter of a standard running track.drfrostmaths.com/explorer.php?ssid=2094
212bSecondaryDetermine the perimeter of a compound shape involving a rectangle and a fraction of a circle.drfrostmaths.com/explorer.php?ssid=2095
212cSecondaryDetermine the perimeter of a shape where a semicircle is cut from a rectangle.drfrostmaths.com/explorer.php?ssid=2096
213SecondaryExam Practice: Area of composite shapes involving circlesdrfrostmaths.com/explorer.php?ssid=4249E213
213aSecondaryDetermine the area of an annulus/ring.drfrostmaths.com/explorer.php?ssid=5231
213bSecondaryDetermine the area of a fraction of an annulus/ring.drfrostmaths.com/explorer.php?ssid=5232
213cSecondaryDetermine the shaded area where a circle is enclosed in a square.drfrostmaths.com/explorer.php?ssid=5233
213dSecondaryDetermine the shaded area where one or more circles is enclosed in a rectangle.drfrostmaths.com/explorer.php?ssid=1602https://www.youtube.com/embed/nmjUy3_OaFQ
213eSecondaryDetermine the exact shaded area where one or more circles is enclosed in a rectangle.drfrostmaths.com/explorer.php?ssid=1603https://www.youtube.com/embed/nmjUy3_OaFQ
213fSecondaryDetermine the remaining area where a semicircle is cut from a quarter circle.drfrostmaths.com/explorer.php?ssid=2110
213gSecondaryDetermine the area of a polygon joined to a fraction of a circle.drfrostmaths.com/explorer.php?ssid=2180
213hSecondaryDetermine the area of a segment formed within a quarter circle.drfrostmaths.com/explorer.php?ssid=5234
213iSecondarySolve problems involving cost and a composite shape with curved areas.drfrostmaths.com/explorer.php?ssid=5235
213jSecondaryDetermine 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
214SecondaryExam Practice: Determining what percentage one number is of anotherdrfrostmaths.com/explorer.php?ssid=49https://www.youtube.com/embed/-j0LFo1TKBgE214
214aSecondaryDetermine what percentage one number is of another.drfrostmaths.com/explorer.php?ssid=883https://www.youtube.com/embed/KJT1fti5lwUK207
215SecondaryExam Practice: Percentage changedrfrostmaths.com/explorer.php?ssid=50https://www.youtube.com/embed/3cVed2FkrYYE215
215aSecondaryCalculate a percentage change with a calculator.drfrostmaths.com/explorer.php?ssid=1268https://www.youtube.com/embed/3n8i3Ca5qcQK208
215bSecondaryCalculate percentage profit or loss when selling items at a fixed price.drfrostmaths.com/explorer.php?ssid=2172
215cSecondaryCalculate percentage profit or loss when selling items at variable prices.drfrostmaths.com/explorer.php?ssid=2179
215dSecondaryCalculate a percentage change in context (excluding profit/loss).drfrostmaths.com/explorer.php?ssid=2266
216SecondaryExam Practice: Percentage error and relative errordrfrostmaths.com/explorer.php?ssid=4250E216
216aSecondaryCalculate percentage error.drfrostmaths.com/explorer.php?ssid=2242
216bSecondaryCalculate relative error.drfrostmaths.com/explorer.php?ssid=5237
217SecondaryExam Practice: Percentage of an amount, greater than 100%, by chunkingdrfrostmaths.com/explorer.php?ssid=4251E217
217aSecondaryCalculate a percentage of an amount (greater than 100%) by chunking.drfrostmaths.com/explorer.php?ssid=5238
218SecondaryExam Practice: Percentage of an amount, by multiplying by an equivalent fractiondrfrostmaths.com/explorer.php?ssid=4252E218
218aSecondaryRewrite a percentage calculation using an equivalent fraction.drfrostmaths.com/explorer.php?ssid=5239
218bSecondaryCalculate a percentage of an amount (less than 100%) by multiplication by an equivalent fraction.drfrostmaths.com/explorer.php?ssid=5240
218cSecondaryCalculate a percentage of an amount (greater than 100%) by multiplication by an equivalent fraction.drfrostmaths.com/explorer.php?ssid=5241
219SecondaryExam Practice: Percentage of an amount, using decimal multipliersdrfrostmaths.com/explorer.php?ssid=537E219
219aSecondaryDetermine the decimal multiplier for a percentage less than 100%.drfrostmaths.com/explorer.php?ssid=1202https://www.youtube.com/embed/zNh1_IGyqbEK211
219bSecondaryCalculate the percentage of an amount (less than 100%) using decimal multipliers.drfrostmaths.com/explorer.php?ssid=620https://www.youtube.com/embed/16Cw4UIYW74K213
219cSecondaryDetermine the decimal multiplier for a percentage greater than 100%.drfrostmaths.com/explorer.php?ssid=5242
219dSecondaryCalculate the percentage of an amount (greater than 100%) using decimal multipliers.drfrostmaths.com/explorer.php?ssid=5243
219eSecondaryDetermine the decimal multiplier where the percentage is a decimal.drfrostmaths.com/explorer.php?ssid=1292https://www.youtube.com/embed/wWfI-RNuYXcK212
219fSecondaryCalculate simple interest.drfrostmaths.com/explorer.php?ssid=969https://www.youtube.com/embed/lACnWvGArhgK426
219gSecondarySolve a multi-step problem in context involving a percentage of an amount.drfrostmaths.com/explorer.php?ssid=1876https://www.youtube.com/embed/fdlMYi5j-VM
219hSecondaryDetermine the percentage of some portion of an amount.drfrostmaths.com/explorer.php?ssid=1886https://www.youtube.com/embed/JUdKlhKVfYo
219iSecondaryCalculate tax due on a salary or purchase based on allowances and different thresholds.drfrostmaths.com/explorer.php?ssid=1892https://www.youtube.com/embed/kEz7OlM03xg
220SecondaryExam Practice: Value after a simple percentage change, using non-calculator methodsdrfrostmaths.com/explorer.php?ssid=52https://www.youtube.com/embed/YIkRY0curBcE220
220aSecondaryIncrease or decrease an amount by a percentage using chunking. drfrostmaths.com/explorer.php?ssid=834https://www.youtube.com/embed/9HdjlMAhBbwK210
220bSecondarySolve problems in context involving percentage changes and arithmetic operations, without a calculator.drfrostmaths.com/explorer.php?ssid=5244
220cSecondarySolve value for money problems involving a percentage change without a calculator.drfrostmaths.com/explorer.php?ssid=5245
221SecondaryExam Practice: Value after a general percentage change, using decimal multipliersdrfrostmaths.com/explorer.php?ssid=536E221
221aSecondaryDetermine the decimal multiplier that would lead to a percentage increase or decrease.drfrostmaths.com/explorer.php?ssid=1875https://www.youtube.com/embed/3F9LpJEyGLE
221bSecondaryIncrease or decrease an amount by a percentage with a calculator.drfrostmaths.com/explorer.php?ssid=621https://www.youtube.com/embed/AsW_3-w7vHAK214
221cSecondarySolve a multi-step problem in context involving a percentage change with decimal multipliers.drfrostmaths.com/explorer.php?ssid=1895https://www.youtube.com/embed/2fnHP-44Gtg
221dSecondarySolve value for money problems involving a percentage change with a calculator.drfrostmaths.com/explorer.php?ssid=5246
222SecondaryExam Practice: Reverse percentage problems using chunkingdrfrostmaths.com/explorer.php?ssid=4253E222
222aSecondaryCalculate the original value before a percentage increase using chunking.drfrostmaths.com/explorer.php?ssid=5247
222bSecondaryCalculate the original value before a percentage decrease using chunking.drfrostmaths.com/explorer.php?ssid=5248
223SecondaryExam Practice: Reverse percentage problems using decimal multipliersdrfrostmaths.com/explorer.php?ssid=53https://www.youtube.com/embed/48KHVQJfwPcE223
223aSecondaryCalculate the original value before a percentage increase using decimal multipliers.drfrostmaths.com/explorer.php?ssid=744https://www.youtube.com/embed/BrpHQyMFI48K424
223bSecondaryCalculate the original value before a percentage decrease using decimal multipliers.drfrostmaths.com/explorer.php?ssid=745https://www.youtube.com/embed/aIcEnfI0hDYK425
224SecondaryExam Practice: Simplifying ratios and forming ratios from a given contextdrfrostmaths.com/explorer.php?ssid=66https://www.youtube.com/embed/7_UQJ82Et2ME224
224aSecondaryWrite a ratio with two parts in its simplest form.drfrostmaths.com/explorer.php?ssid=955https://www.youtube.com/embed/26IywWqJb6gK196
224bSecondaryWrite a ratio with three parts in its simplest form.drfrostmaths.com/explorer.php?ssid=5249
224cSecondaryWrite a ratio in simplest form from a diagram (no simplifying).drfrostmaths.com/explorer.php?ssid=5250
224dSecondarySimplify a ratio involving mismatched metric units or time (excluding distance).drfrostmaths.com/explorer.php?ssid=1569K749
224eSecondaryWrite a ratio in the form 1 : n or n : 1.drfrostmaths.com/explorer.php?ssid=956https://www.youtube.com/embed/9q-SwK4n0MAK197
224fSecondaryDetermine the fraction that a number within a ratio represents.drfrostmaths.com/explorer.php?ssid=1259https://www.youtube.com/embed/WEghvbonx00K198
224gSecondaryConvert fractional amounts to a ratio.drfrostmaths.com/explorer.php?ssid=5251
224hSecondaryDetermine the percentage that a number within a ratio represents.drfrostmaths.com/explorer.php?ssid=1260https://www.youtube.com/embed/D1m8XsIoVNAK199
224iSecondaryDetermine a ratio from a given context.drfrostmaths.com/explorer.php?ssid=1441K200
224jSecondaryConvert an equation involving two variables into a ratio.drfrostmaths.com/explorer.php?ssid=1255https://www.youtube.com/embed/7ou72pnJ47sK695
225SecondaryExam Practice: Finding a quantity within a ratio where either the total amount, a particular amount or a difference in an amount is givendrfrostmaths.com/explorer.php?ssid=67https://www.youtube.com/embed/bp4Auq5CZTkE225
225aSecondaryShare an amount into a ratio with two parts.drfrostmaths.com/explorer.php?ssid=704https://www.youtube.com/embed/iN7nEIkxD5oK202
225bSecondaryShare an amount into a ratio with three parts.drfrostmaths.com/explorer.php?ssid=705https://www.youtube.com/embed/yu6l8tGIn80K203
225cSecondaryDetermine a value in a ratio when the total of the parts is given.drfrostmaths.com/explorer.php?ssid=5252
225dSecondaryDetermine a value in a ratio when one amount is given.drfrostmaths.com/explorer.php?ssid=1267https://www.youtube.com/embed/6ldL4hoCTfMK205
225eSecondaryDetermine a value in a ratio when the difference between two amounts is given.drfrostmaths.com/explorer.php?ssid=1266https://www.youtube.com/embed/_3VqXZZEibwK204
225fSecondaryShare quantities in a ratio to subsequently calculate cost.drfrostmaths.com/explorer.php?ssid=5253
226SecondaryExam Practice: Relationship between fractions, percentages and ratiodrfrostmaths.com/explorer.php?ssid=4254E226
226aSecondaryDetermine the fraction of the whole represented by each part of a given ratio.drfrostmaths.com/explorer.php?ssid=5254
226bSecondaryDetermine the percentage of the whole represented by each part of a given ratio.drfrostmaths.com/explorer.php?ssid=5255
226cSecondarySolve problems involving fractions, percentages and ratios.drfrostmaths.com/explorer.php?ssid=5256
227SecondaryExam Practice: Combining ratios and proportions into a single ratiodrfrostmaths.com/explorer.php?ssid=534E227
227aSecondaryCombine two ratios to form one.drfrostmaths.com/explorer.php?ssid=1256https://www.youtube.com/embed/s5XwgzsP2S4K206
227bSecondaryCombine two ratios to determine what fraction or percentage of items are a particular type.drfrostmaths.com/explorer.php?ssid=1877https://www.youtube.com/embed/ddS4XQBo61k
227cSecondaryCombine two ratios involving algebraic terms.drfrostmaths.com/explorer.php?ssid=1878https://www.youtube.com/embed/4NO9ubB3cLM
227dSecondaryDetermine a value in a ratio when another ratio and an amount is given.drfrostmaths.com/explorer.php?ssid=1879https://www.youtube.com/embed/EREyvmYou4k
227eSecondaryCombine two three-part ratios to form one.drfrostmaths.com/explorer.php?ssid=1887https://www.youtube.com/embed/IBkKsvy87ak
227fSecondaryCombine ratios in order to reflect on the total possible quantity of items.drfrostmaths.com/explorer.php?ssid=1888https://www.youtube.com/embed/fttY0kXyiUM
227gSecondaryProblem solve involving combining ratios and lengths.drfrostmaths.com/explorer.php?ssid=1889https://www.youtube.com/embed/Jv945wtecxc
227hSecondaryCombine ratios where the second ratio is a subdivision of one of the parts of the first.drfrostmaths.com/explorer.php?ssid=1893https://www.youtube.com/embed/4yR3vnIbqe4
227iSecondaryCombine ratios where the second two ratios are subdivisions of each part of the first.drfrostmaths.com/explorer.php?ssid=1897https://www.youtube.com/embed/HyFbyToLcIM
227jSecondaryForm a four-part ratio.drfrostmaths.com/explorer.php?ssid=1566https://www.youtube.com/embed/74e8qwwatRgK746
228SecondaryExam Practice: Front elevation, side elevation and plan of a 3D shapedrfrostmaths.com/explorer.php?ssid=402https://www.youtube.com/embed/LAtTeUmSBBEE228
228aSecondaryDraw the front elevation, side elevation or plan of a shape made from 1 \,\textrm{cm}^3 blocks.drfrostmaths.com/explorer.php?ssid=5257
228bSecondaryDraw the front elevation, side elevation or plan of a 3D shape on squared paper.drfrostmaths.com/explorer.php?ssid=1014https://www.youtube.com/embed/pqD0ObttzycK545
229SecondaryExam Practice: Draw 3D shapes on isometric paper.drfrostmaths.com/explorer.php?ssid=4255E229
229aSecondaryDraw a shape made of 1 \,\textrm{cm}^3 blocks on isometric paper.drfrostmaths.com/explorer.php?ssid=5258
229bSecondaryDraw cubes and cuboids to scale on isometric paper.drfrostmaths.com/explorer.php?ssid=5259
229cSecondaryDraw triangular prisms on isometric paper.drfrostmaths.com/explorer.php?ssid=5260
229dSecondaryDraw prisms with rectilinear cross-sections on isometric paper.drfrostmaths.com/explorer.php?ssid=5261
229eSecondaryDraw a 3D shape on isometric paper given its net. drfrostmaths.com/explorer.php?ssid=5262
229fSecondaryDraw a 3D shape on isometric paper, given its plan and elevations.drfrostmaths.com/explorer.php?ssid=5263
230SecondaryExam Practice: Problem solving involving volume of a cuboiddrfrostmaths.com/explorer.php?ssid=4256E230
230aSecondaryCalculate an unknown dimension of a cuboid given its volume.drfrostmaths.com/explorer.php?ssid=1363https://www.youtube.com/embed/QbbqCyiGyAIK312
230bSecondaryCalculate an unknown dimension of a cube given its volume.drfrostmaths.com/explorer.php?ssid=5264
230cSecondarySolve problems involving the depth of a filled container.drfrostmaths.com/explorer.php?ssid=1918https://www.youtube.com/embed/04_mQG5EQlA
230dSecondarySolve problems involving the capacity of one cuboid in terms of the volume of another.drfrostmaths.com/explorer.php?ssid=1924
230eSecondarySolve problems involving cuboids with equal volume.drfrostmaths.com/explorer.php?ssid=1925
230fSecondaryForm an expression for the volume of a cuboid or cube.drfrostmaths.com/explorer.php?ssid=5265
231SecondaryExam Practice: Volume of a prismdrfrostmaths.com/explorer.php?ssid=113https://www.youtube.com/embed/4aGCTP4XYtwE231
231aSecondaryDetermine the volume of a prism by counting cubes in the cross-section.drfrostmaths.com/explorer.php?ssid=5266
231bSecondaryCalculate the volume of a prism, given the area of the cross-section.drfrostmaths.com/explorer.php?ssid=5267
231cSecondaryCalculate the volume of a prism, where the area of the cross-section must be calculated.drfrostmaths.com/explorer.php?ssid=778https://www.youtube.com/embed/XkmjAxDJ71MK313
231dSecondaryCalculate the volume of a prism where the cross section is a compound shape.drfrostmaths.com/explorer.php?ssid=1659
231eSecondaryDetermine an unknown dimension in a triangular prism given the volume.drfrostmaths.com/explorer.php?ssid=1535https://www.youtube.com/embed/F1Zkr7hszKYK731
231fSecondaryDetermine the volume of a composite solid made from other prisms joined together.drfrostmaths.com/explorer.php?ssid=5268
231gSecondaryDetermine the volume of a solid involving one prism cut out of another.drfrostmaths.com/explorer.php?ssid=5269
231hSecondaryForm an expression from the volume of a prism.drfrostmaths.com/explorer.php?ssid=5270
232SecondaryExam Practice: Surface area of a cuboid and prismsdrfrostmaths.com/explorer.php?ssid=379https://www.youtube.com/embed/EHsP0fGlQkME232
232aSecondaryCalculate the surface area of a cuboid.drfrostmaths.com/explorer.php?ssid=676https://www.youtube.com/embed/gi-cuUDmJw0K315
232bSecondaryCalculate the surface area of a cube.drfrostmaths.com/explorer.php?ssid=5271
232cSecondaryForm an expression for the surface area of a cuboid.drfrostmaths.com/explorer.php?ssid=5272
232dSecondaryDetermine the side length of a cube given its surface area.drfrostmaths.com/explorer.php?ssid=5273
232eSecondaryDetermine a missing dimension of a cube given its surface area and two other dimensions.drfrostmaths.com/explorer.php?ssid=5274
232fSecondaryDetermine the surface area of a cube given its volume.drfrostmaths.com/explorer.php?ssid=5275
232gSecondaryDetermine the volume of a cube given its surface area.drfrostmaths.com/explorer.php?ssid=5276
232hSecondaryCalculate the surface area of a prism.drfrostmaths.com/explorer.php?ssid=1027https://www.youtube.com/embed/G1yv3mfPg_YK314
232iSecondaryForm an expression for the surface area of a prism.drfrostmaths.com/explorer.php?ssid=5277
232jSecondaryDetermine a missing dimension of a prism given its surface area and other dimensions.drfrostmaths.com/explorer.php?ssid=5278
232kSecondaryCalculate costs using a surface area.drfrostmaths.com/explorer.php?ssid=1505K709
233SecondaryExam Practice: Volume of a cylinderdrfrostmaths.com/explorer.php?ssid=394https://www.youtube.com/embed/JOqKkrBBJHQE233
233aSecondaryCalculate the volume of a cylinder from its radius and height.drfrostmaths.com/explorer.php?ssid=813https://www.youtube.com/embed/hZdcXE83LxUK316
233bSecondaryCalculate the volume of a cylinder from its diameter and height.drfrostmaths.com/explorer.php?ssid=814https://www.youtube.com/embed/ZhHpG0jXlCMK317
233cSecondaryCalculate the volume of a semi-cylinder from its diameter or radius.drfrostmaths.com/explorer.php?ssid=8271
233dSecondaryDetermine an unknown dimension of a cylinder given its volume.drfrostmaths.com/explorer.php?ssid=1533K729
233eSecondaryDetermine an unknown dimension of a semi-cylinder given its volume.drfrostmaths.com/explorer.php?ssid=8272
233fSecondaryDetermine the volume of a composite solid, one of them cylindrical.drfrostmaths.com/explorer.php?ssid=5279
233gSecondaryDetermine the volume of a solid involving one solid cut out of another, one of them cylindrical.drfrostmaths.com/explorer.php?ssid=5280
233hSecondaryDetermine the volume of a composite solid, one of them semi-cylindrical.drfrostmaths.com/explorer.php?ssid=8273
233iSecondarySolve problems involving cylinders with equal volume.drfrostmaths.com/explorer.php?ssid=5281
233jSecondaryDetermine an expression for a volume involving algebraic lengths.drfrostmaths.com/explorer.php?ssid=5282
234SecondaryExam Practice: Surface area of a cylinderdrfrostmaths.com/explorer.php?ssid=425https://www.youtube.com/embed/dRfozegH8TEE234
234aSecondaryCalculate the surface area of a cylinder from its radius and height.drfrostmaths.com/explorer.php?ssid=1382https://www.youtube.com/embed/Yo0t7a1_qr8K318
234bSecondaryCalculate the surface area of a cylinder from its diameter and height.drfrostmaths.com/explorer.php?ssid=1381https://www.youtube.com/embed/yW-Vorzr1NMK319
234cSecondaryCalculate the surface area of a semi-cylinder from its diameter or radius.drfrostmaths.com/explorer.php?ssid=8274
234dSecondaryDetermine the height of a cylinder given its surface area.drfrostmaths.com/explorer.php?ssid=1534K730
234eSecondaryDetermine an unknown dimension of a semi-cylinder given its volume.drfrostmaths.com/explorer.php?ssid=8275
234fSecondarySolve problems involving coating or covering a cylinder.drfrostmaths.com/explorer.php?ssid=2299
234gSecondaryDetermine the surface area of a cylinder given the volume and a length.drfrostmaths.com/explorer.php?ssid=2300
234hSecondaryDetermine the surface area of a composite solid, involving a cylinder.drfrostmaths.com/explorer.php?ssid=2363
234iSecondaryDetermine the surface area of a composite solid, involving a semi-cylinder.drfrostmaths.com/explorer.php?ssid=8276
235SecondaryExam Practice: Reading and interpreting ungrouped frequency tablesdrfrostmaths.com/explorer.php?ssid=416https://www.youtube.com/embed/x0hRBgO47ooE235
235aSecondaryRead frequency values from ungrouped frequency tables.drfrostmaths.com/explorer.php?ssid=1401https://www.youtube.com/embed/9xOsjkfe4lYK246
235bSecondaryForm an ungrouped frequency table from discrete data.drfrostmaths.com/explorer.php?ssid=703https://www.youtube.com/embed/Kf3tsCFWIGAK247
235cSecondaryCalculate the total from an ungrouped frequency table.drfrostmaths.com/explorer.php?ssid=1436https://www.youtube.com/embed/d716EPk27pkK248
235dSecondaryDetermine an unknown frequency in an ungrouped frequency table, given the total. drfrostmaths.com/explorer.php?ssid=5283
236SecondaryExam Practice: Mean from ungrouped frequency tablesdrfrostmaths.com/explorer.php?ssid=342https://www.youtube.com/embed/Ufl4WNDlCXAE236
236aSecondaryCalculate mean from ungrouped frequency tables.drfrostmaths.com/explorer.php?ssid=742https://www.youtube.com/embed/PknjEHjGsosK249
236bSecondaryDetermine an unknown frequency in an ungrouped frequency table, given the mean.drfrostmaths.com/explorer.php?ssid=5284
236cSecondaryDetermine the mean from a pictogram.drfrostmaths.com/explorer.php?ssid=5285
236dSecondaryDetermine the mean from a bar chart.drfrostmaths.com/explorer.php?ssid=5286
237SecondaryExam Practice: Median, mode and range from ungrouped frequency tablesdrfrostmaths.com/explorer.php?ssid=4257E237
237aSecondaryDetermine the median from an ungrouped frequency table.drfrostmaths.com/explorer.php?ssid=1394https://www.youtube.com/embed/-Uwe-x9FUrkK252
237bSecondaryDetermine the mode from an ungrouped frequency table.drfrostmaths.com/explorer.php?ssid=1387https://www.youtube.com/embed/d31sB8NM27kK250
237cSecondaryCalculate the range from an ungrouped frequency table.drfrostmaths.com/explorer.php?ssid=1402https://www.youtube.com/embed/vn5Lw8Y75twK251
238SecondaryExam Practice: Two-way tablesdrfrostmaths.com/explorer.php?ssid=413https://www.youtube.com/embed/7QvcSidIuhkE238
238aSecondaryRead values off a two-way table.drfrostmaths.com/explorer.php?ssid=5287
238bSecondaryComplete a partially filled two-way table.drfrostmaths.com/explorer.php?ssid=965https://www.youtube.com/embed/CdPxbM5FkIUK84
238cSecondaryComplete an empty two-way table using written information.drfrostmaths.com/explorer.php?ssid=5288
238dSecondaryUse written information to determine an unknown frequency, via use of a two-way table.drfrostmaths.com/explorer.php?ssid=5289
239SecondaryExam Practice: Dual and stacked bar chartsdrfrostmaths.com/explorer.php?ssid=4258E239
239aSecondaryRead off a single value from a dual bar chart.drfrostmaths.com/explorer.php?ssid=5290
239bSecondaryCalculate the difference between values in a dual bar chart.drfrostmaths.com/explorer.php?ssid=5291
239cSecondaryIdentify a value pair with the highest or lowest overall total.drfrostmaths.com/explorer.php?ssid=5292
239dSecondaryIdentify value pairs with a given total or constraint.drfrostmaths.com/explorer.php?ssid=5293
239eSecondaryIdentify the total of each data set in a dual bar chart.drfrostmaths.com/explorer.php?ssid=5294
239fSecondaryRead off a single value from a stacked bar chart.drfrostmaths.com/explorer.php?ssid=5295
239gSecondaryCalculate totals from a stacked bar chart.drfrostmaths.com/explorer.php?ssid=5296
239hSecondaryCalculate the difference between values in a stacked bar chart.drfrostmaths.com/explorer.php?ssid=5297
239iSecondaryInterpret a back-to-back bar chart.drfrostmaths.com/explorer.php?ssid=5298
240SecondaryExam Practice: Stem-and-leaf diagramsdrfrostmaths.com/explorer.php?ssid=407E240
240aSecondaryDraw a stem-and-leaf diagram.drfrostmaths.com/explorer.php?ssid=723https://www.youtube.com/embed/AZPCcHqG6uAK261
240bSecondaryInterpret a stem-and-leaf diagram.drfrostmaths.com/explorer.php?ssid=5299
240cSecondaryDetermine the mode from a stem-and-leaf diagram.drfrostmaths.com/explorer.php?ssid=726https://www.youtube.com/embed/o0yl5xDJQw0K264
240dSecondaryCalculate the range from a stem-and-leaf diagram.drfrostmaths.com/explorer.php?ssid=727https://www.youtube.com/embed/cnUZx9nt9XQK265
240eSecondaryDetermine the median from a stem-and-leaf diagram.drfrostmaths.com/explorer.php?ssid=725https://www.youtube.com/embed/1bAhrqOZegkK263
240fSecondaryCalculate the mean from a stem-and-leaf diagram.drfrostmaths.com/explorer.php?ssid=724K262
240gSecondaryDraw a back-to-back stem-and-leaf diagram.drfrostmaths.com/explorer.php?ssid=5300
240hSecondaryInterpret data in a back-to-back stem-and-leaf diagram.drfrostmaths.com/explorer.php?ssid=5301
240iSecondaryCompare data sets using stem-and-leaf diagrams.drfrostmaths.com/explorer.php?ssid=5302
240jSecondaryDetermine a change to the range or median given updated data in a stem-and-leaf diagrams.drfrostmaths.com/explorer.php?ssid=5303
241SecondaryExam Practice: Frequency treesdrfrostmaths.com/explorer.php?ssid=4259E241
241aSecondaryRead values off a frequency tree.drfrostmaths.com/explorer.php?ssid=5304
241bSecondaryDraw a frequency tree from written information.drfrostmaths.com/explorer.php?ssid=1012https://www.youtube.com/embed/PcCFVFzga04K85
242SecondaryExam Practice: Construct Venn diagramsdrfrostmaths.com/explorer.php?ssid=358https://www.youtube.com/embed/7s8bN0J7jbEE242
242aSecondaryUnderstand what each region of a Venn diagram with 2 sets represents.drfrostmaths.com/explorer.php?ssid=5305
242bSecondaryDraw a Venn diagram to indicate relationships between different groups.drfrostmaths.com/explorer.php?ssid=5306
242cSecondaryConstruct a Venn diagram with 2 sets from a list of elements.drfrostmaths.com/explorer.php?ssid=1626
242dSecondaryConstruct a Venn diagram with 2 sets given totals.drfrostmaths.com/explorer.php?ssid=1041https://www.youtube.com/embed/2426CiY-sOgK465
242eSecondaryConstruct a Venn diagram for mutually exclusive events.drfrostmaths.com/explorer.php?ssid=5307
242fSecondaryConstruct a Venn diagram where one set is a subset of another.drfrostmaths.com/explorer.php?ssid=5308
242gSecondaryConstruct a Venn diagram with 3 sets given totals.drfrostmaths.com/explorer.php?ssid=1133https://www.youtube.com/embed/_3PdqHV0qhkK466
243SecondaryExam Practice: Union, intersection and complements of sets, including the universal and empty setsdrfrostmaths.com/explorer.php?ssid=359https://www.youtube.com/embed/4fu0NsDhc_gE243
243aSecondaryRecognise set notation for the universal set, union, intersection and complement from a shaded Venn diagram with 2 sets.drfrostmaths.com/explorer.php?ssid=1316https://www.youtube.com/embed/b1ZetSJaQkwK467
243bSecondaryUnderstand notation for subsets, membership and empty sets.drfrostmaths.com/explorer.php?ssid=5309
243cSecondaryRecognise set notation for the set difference from a shaded Venn diagram with 2 sets.drfrostmaths.com/explorer.php?ssid=5310
243dSecondaryCombine various elements of set notation for a Venn diagram with 2 sets, including associativity and distributivity of notation.drfrostmaths.com/explorer.php?ssid=5311
243eSecondaryRecognise set notation for the universal set, union, intersection and complement from a shaded Venn diagram with 3 sets.drfrostmaths.com/explorer.php?ssid=5312
243fSecondaryList elements using set notation.drfrostmaths.com/explorer.php?ssid=1570K750
243gSecondaryDetermine the number of elements in a set given a list.drfrostmaths.com/explorer.php?ssid=1571K751
243hSecondaryDetermine the number of elements in a set given a Venn diagram of frequencies.drfrostmaths.com/explorer.php?ssid=5313
243iSecondaryConstruct a Venn diagram of frequencies given numbers of elements in various sets.drfrostmaths.com/explorer.php?ssid=5314
244SecondaryExam Practice: Scatter graphs and correlationdrfrostmaths.com/explorer.php?ssid=338E244
244aSecondaryPlot a point on a scatter graph.drfrostmaths.com/explorer.php?ssid=894https://www.youtube.com/embed/yHRU5zmOXnIK258
244bSecondaryInterpret points on a scatter graph.drfrostmaths.com/explorer.php?ssid=2315
244cSecondaryIdentify an outlier on a scatter graph.drfrostmaths.com/explorer.php?ssid=2293
244dSecondaryState the correlation represented on a scatter graph.drfrostmaths.com/explorer.php?ssid=896https://www.youtube.com/embed/KKq9yvBNr8gK259
244eSecondaryState the strength of the correlation represented on a scatter graph.drfrostmaths.com/explorer.php?ssid=2330
244fSecondaryInterpret the correlation represented on a scatter graph.drfrostmaths.com/explorer.php?ssid=2331
244gSecondaryCalculate the mean from some points on a scatter diagram.drfrostmaths.com/explorer.php?ssid=2279
244hSecondarySummarise data from a scatter graph.drfrostmaths.com/explorer.php?ssid=2332
245SecondaryExam Practice: Line of best fitdrfrostmaths.com/explorer.php?ssid=4260E245
245aSecondaryPlot a line of best fit on a scatter graph.drfrostmaths.com/explorer.php?ssid=5315
245bSecondaryUse a line of best fit on a scatter graph.drfrostmaths.com/explorer.php?ssid=897https://www.youtube.com/embed/wfRz4ygeqGkK260
245cSecondaryPlot and then use a line of best fit on a scatter graph.drfrostmaths.com/explorer.php?ssid=5316
245dSecondaryUnderstand interpolation and extrapolation on a scatter graph.drfrostmaths.com/explorer.php?ssid=5317
245eSecondaryCalculate the mean point from a scatter diagram.drfrostmaths.com/explorer.php?ssid=8306
245fSecondaryPlot a line of best fit using the mean point.drfrostmaths.com/explorer.php?ssid=5318
246SecondaryExam Practice: Pie charts with any proportiondrfrostmaths.com/explorer.php?ssid=337E246
246aSecondaryDraw a pie chart where the total is a factor or multiple of 360.drfrostmaths.com/explorer.php?ssid=5319
246bSecondaryDraw a pie chart where the total is not a factor or multiple of 360.drfrostmaths.com/explorer.php?ssid=1036https://www.youtube.com/embed/L2a98g8Lx_kK267
246cSecondaryInterpret a pie chart with marked angles, but no totals given.drfrostmaths.com/explorer.php?ssid=5320
246dSecondaryDetermine 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
246eSecondaryDetermine the frequency from a pie chart given marked angles and any total.drfrostmaths.com/explorer.php?ssid=1051https://www.youtube.com/embed/7VWgRl4roIYK266
246fSecondaryDetermine the frequency from a pie chart given the frequency and angle of a segment.drfrostmaths.com/explorer.php?ssid=5322
246gSecondaryDetermine 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
246hSecondaryUnderstand the limitations of pie charts.drfrostmaths.com/explorer.php?ssid=5324
246iSecondaryCompare pie charts with no totals.drfrostmaths.com/explorer.php?ssid=5325
246jSecondaryCompare pie charts given totals or the frequency of a segment.drfrostmaths.com/explorer.php?ssid=5326
246kSecondaryCompare data sets in pie charts and other representations.drfrostmaths.com/explorer.php?ssid=5327
247SecondaryExam Practice: Probabilities using worded terms or placed on a number line between 0 and 1drfrostmaths.com/explorer.php?ssid=411https://www.youtube.com/embed/noJMMJXSdb0E247
247aSecondaryDetermine the most likely or least likely event from a list.drfrostmaths.com/explorer.php?ssid=5328
247bSecondaryDescribe probabilities using worded terms.drfrostmaths.com/explorer.php?ssid=997https://www.youtube.com/embed/E_qUD_BnY7MK72
247cSecondaryFind possible outcomes given a worded probability.drfrostmaths.com/explorer.php?ssid=5329
247dSecondaryCompare likelihood between events.drfrostmaths.com/explorer.php?ssid=5330
247eSecondaryDetermine outcomes based on relative likelihood of events.drfrostmaths.com/explorer.php?ssid=5331
247fSecondaryUnderstand the probability scale from 0 to 1.drfrostmaths.com/explorer.php?ssid=5332
248SecondaryExam Practice: Theoretical probabilities using countsdrfrostmaths.com/explorer.php?ssid=350https://www.youtube.com/embed/hhDVWfZpypsE248
248aSecondaryDetermine a single probability using counts.drfrostmaths.com/explorer.php?ssid=960https://www.youtube.com/embed/wQmT7RCd6GkK75
248bSecondaryDetermine the probability of an event not occurring using counts.drfrostmaths.com/explorer.php?ssid=1414https://www.youtube.com/embed/zDs_iDULoNUK79
248cSecondaryDetermine the probability of one event or another occurring using counts.drfrostmaths.com/explorer.php?ssid=5333
248dSecondaryPlace an event on a probability scale from 0 to 1.drfrostmaths.com/explorer.php?ssid=998K73
248eSecondaryDetermine a probability using the total frequency in a two-way table.drfrostmaths.com/explorer.php?ssid=1435K76
248fSecondaryDetermine a probability within a subgroup of a two-way table.drfrostmaths.com/explorer.php?ssid=5334
248gSecondaryDetermine a probability using the total frequency in a frequency tree.drfrostmaths.com/explorer.php?ssid=5335
248hSecondaryDetermine a probability within a subgroup of a frequency tree.drfrostmaths.com/explorer.php?ssid=5336
249SecondaryExam Practice: Sample space diagramsdrfrostmaths.com/explorer.php?ssid=348https://www.youtube.com/embed/b9CGpXA6_8UE249
249aSecondaryList combined outcomes (not in a table) where one or both sets of outcomes are non-numeric.drfrostmaths.com/explorer.php?ssid=5337
249bSecondaryList combined outcomes in a table, where one or both sets of outcomes are non-numeric.drfrostmaths.com/explorer.php?ssid=961https://www.youtube.com/embed/ycZFfocWZhsK74
249cSecondaryList combined outcomes using a sample space, using an arithmetic operator.drfrostmaths.com/explorer.php?ssid=5338
249dSecondaryDetermine a probability from a given sample space.drfrostmaths.com/explorer.php?ssid=1466https://www.youtube.com/embed/4YraYzuPf7AK77
249eSecondaryDetermine the probability of a combined outcome where the sample space is not given.drfrostmaths.com/explorer.php?ssid=5339
250SecondaryExam Practice: Probabilities of mutually exclusive eventsdrfrostmaths.com/explorer.php?ssid=384https://www.youtube.com/embed/HMH6a2iYzkYE250
250aSecondaryDetermine the probability of an event not happening.drfrostmaths.com/explorer.php?ssid=5340
250bSecondaryDetermine the probability of one event or another mutually exclusive event occurring.drfrostmaths.com/explorer.php?ssid=5341
250cSecondaryDetermine a probability of a mutually exclusive event from a table.drfrostmaths.com/explorer.php?ssid=5342
250dSecondaryDetermine probabilities of mutually exclusive events in a table with a given relationship.drfrostmaths.com/explorer.php?ssid=962https://www.youtube.com/embed/HkIYqf502QUK78
250eSecondaryFind possible outcomes given numeric probabilities of mutually exclusive events.drfrostmaths.com/explorer.php?ssid=5343
251SecondaryExam Practice: Experimental probabilities and biasdrfrostmaths.com/explorer.php?ssid=346https://www.youtube.com/embed/F0QK_OromkQE251
251aSecondaryDetermine the relative frequency of an outcome from given data.drfrostmaths.com/explorer.php?ssid=1048https://www.youtube.com/embed/k1BoFfN4uWIK269
251bSecondaryUse a simulation to calculate the relative frequency of an event.drfrostmaths.com/explorer.php?ssid=5344
251cSecondaryUnderstand how the number of trials affects the reliability of an experimentdrfrostmaths.com/explorer.php?ssid=5345
251dSecondaryWork out an expected value for a fair event, with a given number of repeated trials.drfrostmaths.com/explorer.php?ssid=5346
251eSecondaryWork out an expected value for a biased event, with a given number of repeated trials.drfrostmaths.com/explorer.php?ssid=1047https://www.youtube.com/embed/HNWtOeT5-7gK270
251fSecondaryDetermine if an experiment is biased.drfrostmaths.com/explorer.php?ssid=5347
251gSecondaryWork out an expected value from a table with missing probabilities in the table. drfrostmaths.com/explorer.php?ssid=5348
251hSecondaryUse expected values to calculate profit.drfrostmaths.com/explorer.php?ssid=5349
252SecondaryExam Practice: Expanding a single bracketdrfrostmaths.com/explorer.php?ssid=69https://www.youtube.com/embed/VzS_qsrEtfME252
252Exam Practice: Determine the exact distance from a velocity-time graph.drfrostmaths.com/explorer.php?ssid=399https://www.youtube.com/embed/B0PoSe0iD-wE252
252aSecondaryExpand a single bracket with an integer on the front.drfrostmaths.com/explorer.php?ssid=592https://www.youtube.com/embed/_cS6RIny5AEK153
252bSecondaryExpand a single bracket with a negative integer on the front.drfrostmaths.com/explorer.php?ssid=8305
252cDELETED DECOMMISSIONED Find the displacement from a velocity-time graph.drfrostmaths.com/explorer.php?ssid=1063K861
252cSecondaryExpand a single bracket requiring simplification.drfrostmaths.com/explorer.php?ssid=1358https://www.youtube.com/embed/u0G745uAJgUK154
252dSecondaryExpand a single bracket with an algebraic term at the front.drfrostmaths.com/explorer.php?ssid=1359https://www.youtube.com/embed/ZQ6mqCF3QQkK157
252eSecondaryExpand a single bracket with each term involving one variable or constant, using index laws.drfrostmaths.com/explorer.php?ssid=5350
252fSecondaryExpand a single bracket with each term involving multiple variables or constants, using index laws.drfrostmaths.com/explorer.php?ssid=1360https://www.youtube.com/embed/7enGPIbj6kcK435
252gSecondaryExpand two sets of single brackets and collect like terms, where mutlipliers are positive integers only.drfrostmaths.com/explorer.php?ssid=707https://www.youtube.com/embed/1Cc0a6vZ0xMK155
252hSecondaryExpand and simplify expressions involving subtraction of a bracket with a term or bracket before.drfrostmaths.com/explorer.php?ssid=1240https://www.youtube.com/embed/f9PZBFPM7qUK156
252iSecondaryExpand and simplify expressions involving subtraction of a bracket with no coefficient.drfrostmaths.com/explorer.php?ssid=2111
252jSecondaryExpand two sets of single brackets and collect like terms, where mutlipliers are variables or terms.drfrostmaths.com/explorer.php?ssid=2128
253SecondaryExam Practice: Factorising out a single termdrfrostmaths.com/explorer.php?ssid=71https://www.youtube.com/embed/biXEdyg2bYAE253
253aSecondaryFactorise by taking a common numeric factor out.drfrostmaths.com/explorer.php?ssid=777https://www.youtube.com/embed/DB6TjBVxYHsK348
253bSecondaryFactorise by taking an algebraic factor out with single variable.drfrostmaths.com/explorer.php?ssid=1238https://www.youtube.com/embed/vViglKOwRnkK349
253cSecondaryFactorise by taking a common algebraic factor out involving index laws.drfrostmaths.com/explorer.php?ssid=1040https://www.youtube.com/embed/y4EOzJ4ZISUK350
253dSecondaryFactorise by taking a common algebraic factor out involving index laws with three or more terms.drfrostmaths.com/explorer.php?ssid=5351
253eSecondaryExpand an expression then factorise fully by taking out a single term.drfrostmaths.com/explorer.php?ssid=5352
253fSecondaryFactorise by taking a common bracketed factor out.drfrostmaths.com/explorer.php?ssid=1704https://www.youtube.com/embed/3yE0TPQZeKY
253gSecondaryFactorise an expression in multiple variables by first finding a common bracketed factor. drfrostmaths.com/explorer.php?ssid=5353
253hSecondaryProve that two expressions are equivalent (potentially involving single bracket factorisation).drfrostmaths.com/explorer.php?ssid=5354
254SecondaryExam Practice: Solving linear equations where the variable appears on one side of the equation only, including bracketsdrfrostmaths.com/explorer.php?ssid=4261E254
254aSecondarySolve a linear equation with brackets and positive integer only solutions.drfrostmaths.com/explorer.php?ssid=1375https://www.youtube.com/embed/lFbMuRHonNsK152
254bSecondarySolve a linear equation with brackets and positive fractional solutions.drfrostmaths.com/explorer.php?ssid=5355
254cSecondarySolve 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
254dSecondarySolve an equation with brackets and requiring simplification, with the variable on one side.drfrostmaths.com/explorer.php?ssid=1455https://www.youtube.com/embed/5W7se3kShXYK372
254eSecondarySolve an equation with brackets and a possible negative coefficient of the unknown.drfrostmaths.com/explorer.php?ssid=5356
255Exam Practice: Determine the acceleration from a velocity-time graph.drfrostmaths.com/explorer.php?ssid=398https://www.youtube.com/embed/EO5sKe8I0gUE255
255SecondaryExam Practice: Custom operatorsdrfrostmaths.com/explorer.php?ssid=4262E255
255aSecondaryCalculate the output of a binary operator given its definition.drfrostmaths.com/explorer.php?ssid=5357
255bSecondaryCalculate the output of two instances of a custom binary operator composed together.drfrostmaths.com/explorer.php?ssid=5358
255cSecondaryDetermine one of the inputs of a custom binary operator given the output.drfrostmaths.com/explorer.php?ssid=5359
256SecondaryExam Practice: Finding integer solutions to linear equations (linear Diophantine equations)drfrostmaths.com/explorer.php?ssid=33E256
256aSecondaryDetermine positive integer solutions to ax + by = kdrfrostmaths.com/explorer.php?ssid=5360
256bSecondaryDetermine positive integer solutions to a problem in context that can be modelled as an equation of the form ax + by = kdrfrostmaths.com/explorer.php?ssid=5361
257SecondaryExam Practice: Solving linear equations where the variable appears on both sides of the equationdrfrostmaths.com/explorer.php?ssid=429https://www.youtube.com/embed/l-za234E9F4E257
257aSecondarySolve a linear equation with unknown on both sides.drfrostmaths.com/explorer.php?ssid=841https://www.youtube.com/embed/JTy8JL70n6kK367
257bSecondarySolve a linear equation with unknowns on both sides where the leading term is a constant.drfrostmaths.com/explorer.php?ssid=2196
257cSecondarySolve a linear equation with unknowns on both sides and brackets on one side.drfrostmaths.com/explorer.php?ssid=1239https://www.youtube.com/embed/10Tv78eF9Z8K368
257dSecondarySolve a linear equation with unknowns and brackets on both sides.drfrostmaths.com/explorer.php?ssid=2270
257eSecondarySolve a linear equation with unknowns on both sides and brackets requiring simplification.drfrostmaths.com/explorer.php?ssid=843https://www.youtube.com/embed/pMdqwf4N_bwK369
257fSecondarySolve a linear equation with two sets of brackets on one side requiring simplification.drfrostmaths.com/explorer.php?ssid=2232
258SecondaryExam Practice: Solving linear equations involving fractionsdrfrostmaths.com/explorer.php?ssid=360https://www.youtube.com/embed/IHgy9iAk-wUE258
258aSecondarySolve a two step equation with a fraction on one side.drfrostmaths.com/explorer.php?ssid=1496https://www.youtube.com/embed/Q4uBjCH7hJsK707
258bSecondarySolve an equation with one fraction equal to a linear expression.drfrostmaths.com/explorer.php?ssid=1075https://www.youtube.com/embed/RAfC856gEH4K371
258cSecondarySolve an equation with a fraction and a linear expression on one side.drfrostmaths.com/explorer.php?ssid=5362
258dSecondarySolve an equation with one fraction equal to another fraction.drfrostmaths.com/explorer.php?ssid=1074https://www.youtube.com/embed/nyIxaZmbIoEK373
258eSecondarySolve an equation with the unknown within a single term in the denominator.drfrostmaths.com/explorer.php?ssid=5363
258fSecondarySolve an equation with the unknown within an expression in denominator.drfrostmaths.com/explorer.php?ssid=1606https://www.youtube.com/embed/rAug794m24U
258gSecondarySolve an equation with multiple fractions on one side, leading to a linear equation.drfrostmaths.com/explorer.php?ssid=1506K710
258hSecondarySolve an equation with fractions on both sides leading to a linear equation.drfrostmaths.com/explorer.php?ssid=5364
259SecondaryExam Practice: Forming and solving linear equations from a given context (excluding angles)drfrostmaths.com/explorer.php?ssid=498E259
259aSecondaryForm and solve a linear equation for a given context involving a single occurrence of the variable.drfrostmaths.com/explorer.php?ssid=1761https://www.youtube.com/embed/825zWGD2sr8
259bSecondaryForm and solve a linear equation for the perimeter of a 2D shape.drfrostmaths.com/explorer.php?ssid=1311https://www.youtube.com/embed/BJdu8LrgIgUK332
259cSecondaryForm and solve a linear equation for the area of a simple 2D shape.drfrostmaths.com/explorer.php?ssid=1696
259dSecondaryForm and solve a linear equation for the area of a trapezium.drfrostmaths.com/explorer.php?ssid=1778
259eSecondaryForm and solve a linear equation for the area of two 2D shapes.drfrostmaths.com/explorer.php?ssid=1717https://www.youtube.com/embed/hE8DTVfchuA
259fSecondaryDELETED K183e: Form and solve a linear equation from angle propertiesdrfrostmaths.com/explorer.php?ssid=1655
259fSecondaryForm and solve a linear equation for the volume of a cuboid or cube.drfrostmaths.com/explorer.php?ssid=5365
259gSecondaryForm and solve a linear equation for the volume of a prism.drfrostmaths.com/explorer.php?ssid=5366
259hSecondaryForm and solve a linear equation for the surface area of a cuboid or cube.drfrostmaths.com/explorer.php?ssid=5367
259iSecondaryForm and solve a linear equation for the surface area of a prism.drfrostmaths.com/explorer.php?ssid=5368
259jSecondaryForm and solve a linear equation for the total cost of a purchase.drfrostmaths.com/explorer.php?ssid=5369
259kSecondaryForm and solve a linear equation involving a relationship between two or more items.drfrostmaths.com/explorer.php?ssid=5370
259lSecondaryForm and solve a linear equation involving a relationship between two or more items, including fractions. drfrostmaths.com/explorer.php?ssid=5371
259mSecondaryForm and solve a linear equation involving percentage and/or fractions of amounts.drfrostmaths.com/explorer.php?ssid=5372
259nSecondaryForm 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
259oSecondaryForm and solve a linear equation with an unknown on one side for given a function machine.drfrostmaths.com/explorer.php?ssid=5374
259pSecondaryForm and solve a linear equation for a function machine where the input and output are equal.drfrostmaths.com/explorer.php?ssid=5375
259qSecondaryForm and solve a linear equation for a function machine where the input and output are related.drfrostmaths.com/explorer.php?ssid=5376
259rSecondaryForm and solve a linear equation for a given relationship between two sequences.drfrostmaths.com/explorer.php?ssid=5377
260SecondaryExam Practice: Changing the subject of a formula where the subject appears once only, including bracketsdrfrostmaths.com/explorer.php?ssid=4263E260
260aSecondaryChange the subject of a linear formula involving multiplication using brackets.drfrostmaths.com/explorer.php?ssid=975https://www.youtube.com/embed/iHPjLpYEBMIK361
260bSecondaryChange the subject of a linear formula requiring two steps resulting in a bracket.drfrostmaths.com/explorer.php?ssid=978https://www.youtube.com/embed/9_ZVbMIsOSQK362
260cSecondaryChange the subject of a formula with brackets and fractions.drfrostmaths.com/explorer.php?ssid=2354
260dSecondaryChange the subject of a formula where the subject is squared and with additional steps.drfrostmaths.com/explorer.php?ssid=8311
260eSecondaryChange the subject of a formula where the subject is cubed (or a higher power) and with additional steps.drfrostmaths.com/explorer.php?ssid=8312
260fSecondaryChange the subject of a formula with brackets and where the subject is raised to a power.drfrostmaths.com/explorer.php?ssid=2356
260gSecondaryChange the subject of a formula with brackets raised to a power.drfrostmaths.com/explorer.php?ssid=2357
260hSecondaryChange the subject of a formula with fractions and powers.drfrostmaths.com/explorer.php?ssid=2358
260iSecondaryChange the subject of a formula with roots and additional steps.drfrostmaths.com/explorer.php?ssid=2360
260jSecondaryChange 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
260kSecondaryChange 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
261SecondaryExam Practice: Changing the subject of a formula where the subject appears multiple timesdrfrostmaths.com/explorer.php?ssid=15https://www.youtube.com/embed/AtoHt5-jpFkE261
261aSecondaryChange the subject of a formula where the subject appears on the same side twice.drfrostmaths.com/explorer.php?ssid=980https://www.youtube.com/embed/UYeklmx3f4oK572
261bSecondaryChange the subject of a formula where the subject appears on the same side twice as a square term.drfrostmaths.com/explorer.php?ssid=2304
261cSecondaryChange the subject of a formula where the subject appears on both sides.drfrostmaths.com/explorer.php?ssid=981https://www.youtube.com/embed/NTNj__TosfIK573
261dSecondaryChange the subject of a formula where the subject appears twice on a fraction.drfrostmaths.com/explorer.php?ssid=982https://www.youtube.com/embed/5ehDvtjZi-oK574
261eSecondaryChange the subject of a formula where the subject appears twice with a square root.drfrostmaths.com/explorer.php?ssid=983https://www.youtube.com/embed/Qx6iYTwLqLoK575
261fSecondaryChange 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
261gSecondaryChange 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
261hSecondaryChange 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
261iSecondaryChange the subject of the formula with multiple fractions, where the subject is in a denominator.drfrostmaths.com/explorer.php?ssid=1623https://www.youtube.com/embed/a-gZnDHGqVc
262SecondaryExam Practice: Interior and exterior angles of regular and irregular polygonsdrfrostmaths.com/explorer.php?ssid=332https://www.youtube.com/embed/wZo6cLD_Q2IE262
262aSecondaryCalculate the interior angle sum of a polygon given its number of sides.drfrostmaths.com/explorer.php?ssid=1609https://www.youtube.com/embed/o3dj4507i80
262bSecondaryDetermine missing angles in a non-regular polygon.drfrostmaths.com/explorer.php?ssid=659https://www.youtube.com/embed/OOuSFZK4ryUK479
262cSecondaryDetermine interior angles of a polygon where there is a relationship given between some angles.drfrostmaths.com/explorer.php?ssid=1945https://www.youtube.com/embed/PkAhSyTlkhs
262dSecondaryCalculate the size of the exterior angles of a regular polygon.drfrostmaths.com/explorer.php?ssid=660https://www.youtube.com/embed/0EXed3gpzKwK477
262eSecondaryCalculate the size of the interior angles of a regular polygon.drfrostmaths.com/explorer.php?ssid=661https://www.youtube.com/embed/lJ1BYdhSgqIK480
262fSecondaryDetermine the remaining angle around a point where two or more polygons meet.drfrostmaths.com/explorer.php?ssid=1946https://www.youtube.com/embed/RUNZkiKyRzs
262gSecondaryDetermine an angle formed in a shape using sides or extended sides of polygons.drfrostmaths.com/explorer.php?ssid=1947https://www.youtube.com/embed/-MzEWzHaAjc
262hSecondaryDetermine the number of sides of a regular polygon given the size of its exterior angles.drfrostmaths.com/explorer.php?ssid=662https://www.youtube.com/embed/eEbW5oHIwToK478
262iSecondaryDetermine the number of sides of a regular polygon given the size of its interior angles.drfrostmaths.com/explorer.php?ssid=663https://www.youtube.com/embed/fp0m-vR-N8IK481
262jSecondaryDetermine the number of sides of a polygon given a ratio between its interior and exterior angles.drfrostmaths.com/explorer.php?ssid=1948https://www.youtube.com/embed/A-RwMdunNCo
262kSecondaryDetermine angles in polygons within regular polygons.drfrostmaths.com/explorer.php?ssid=1520https://www.youtube.com/embed/EPqYU_79-m8K719
262lSecondaryDetermine if a regular polygon will tesselate.drfrostmaths.com/explorer.php?ssid=5378
262mSecondaryDetermine the number of sides of an unknown regular polygon required to complete a tesselation.drfrostmaths.com/explorer.php?ssid=1949https://www.youtube.com/embed/BruBu9njsDQ
263SecondaryExam Practice: Alternate, corresponding and cointerior anglesdrfrostmaths.com/explorer.php?ssid=120https://www.youtube.com/embed/vO7qId0X5dsE263
263aSecondaryRecognise alternate, corresponding and cointerior (allied) angles.drfrostmaths.com/explorer.php?ssid=1248K304
263bSecondaryDetermine an angle using alternate angles on parallel lines.drfrostmaths.com/explorer.php?ssid=630https://www.youtube.com/embed/BG4Dld85ZVwK305
263cSecondaryDetermine an angle using corresponding angles on parallel lines.drfrostmaths.com/explorer.php?ssid=636https://www.youtube.com/embed/IXN2c0-1MzMK306
263dSecondaryDetermine an angle using cointerior (allied) angles on parallel lines.drfrostmaths.com/explorer.php?ssid=638https://www.youtube.com/embed/91pLl0M7sw8K308
263eSecondaryDetermine if a given pair of lines is parallel using alternate, corresponding or cointerior angle rules.drfrostmaths.com/explorer.php?ssid=5379
263fSecondaryDetermine angles in a parallelogram or rhombus.drfrostmaths.com/explorer.php?ssid=5380
263gSecondaryDetermine angles in a trapezium.drfrostmaths.com/explorer.php?ssid=5381
263hSecondaryDetermine an angle using alternate or corresponding angles combined with vertically opposite angles.drfrostmaths.com/explorer.php?ssid=5382
263iSecondaryDetermine an angle in a triangle using angles on parallel lines.drfrostmaths.com/explorer.php?ssid=1184https://www.youtube.com/embed/nxUC6S5NUJEK302
263jSecondaryDetermine an angle in a complex diagram involving multiple angle laws and parallel lines.drfrostmaths.com/explorer.php?ssid=5383
263kSecondaryDetermine an angle in a complex diagram involving a parallelogram or rhombus.drfrostmaths.com/explorer.php?ssid=5384
264SecondaryExam Practice: Algebraic expressions and equations using angle factsdrfrostmaths.com/explorer.php?ssid=122https://www.youtube.com/embed/zo3KOe8fwGQE264
264aSecondaryDetermine 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
264bSecondaryDetermine 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
264cSecondaryDetermine 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
264dSecondaryDetermine algebraic expressions for angle involving parallel lines, where angles are given as general expressions.drfrostmaths.com/explorer.php?ssid=5387
264eSecondaryForm 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
264fSecondaryForm 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
264gSecondaryForm and solve an equation using algebraic angles to determine an unknown angle in a parallelogram, rhombus or trapezium.drfrostmaths.com/explorer.php?ssid=5388
264hSecondaryForm and solve an equation using algebraic angles to determine an unknown angle involving parallel lines.drfrostmaths.com/explorer.php?ssid=5389
264iSecondaryForm and solve an equation using algebraic angles to determine an unknown angles in a polygon.drfrostmaths.com/explorer.php?ssid=8333
265SecondaryExam Practice: Bearings (excluding trigonometry)drfrostmaths.com/explorer.php?ssid=369E265
265aSecondaryKnow the correspondence between bearings and compass directions.drfrostmaths.com/explorer.php?ssid=1981
265bSecondaryCalculate a bearing using a simple diagram.drfrostmaths.com/explorer.php?ssid=987https://www.youtube.com/embed/_iqtUwF6fOQK324
265cSecondaryMeasure a bearing using a protractor.drfrostmaths.com/explorer.php?ssid=1982
265dSecondaryCalculate a bearing using corresponding angles on parallel lines.drfrostmaths.com/explorer.php?ssid=988https://www.youtube.com/embed/zzLLv8F6Y5cK325
265eSecondaryUse the bearing of one object from another to calculate the bearing of the opposite.drfrostmaths.com/explorer.php?ssid=2115
265fSecondaryCalculate bearings using a mixture of parallel lines and isosceles triangles.drfrostmaths.com/explorer.php?ssid=2108
266SecondaryExam Practice: Midpoint of two pointsdrfrostmaths.com/explorer.php?ssid=136https://www.youtube.com/embed/1zASK082ZHQE266
266aSecondaryFind the midpoint of two points which have been plotted.drfrostmaths.com/explorer.php?ssid=1983
266bSecondaryFind the midpoint of two points given as coordinates.drfrostmaths.com/explorer.php?ssid=880https://www.youtube.com/embed/xseTCpiVjGcK320
266cSecondaryFind a coordinate given another and their midpoint.drfrostmaths.com/explorer.php?ssid=881https://www.youtube.com/embed/bbws5_NWLQMK322
266dSecondarySolve problems involving the midpoint of two points where some values are unknown.drfrostmaths.com/explorer.php?ssid=1988
267SecondaryExam Practice: Splitting a line segment in a ratiodrfrostmaths.com/explorer.php?ssid=4264E267
267aSecondaryFind the coordinates of a point that shares a line in a ratio.drfrostmaths.com/explorer.php?ssid=882https://www.youtube.com/embed/esB_uK-WJHUK321
267bSecondaryFind the coordinates of a point given another and a further point which divides them in a ratio.drfrostmaths.com/explorer.php?ssid=5390
267cSecondaryFind the coordinates of a point given another point and a multiplicative relationship between them.drfrostmaths.com/explorer.php?ssid=5391
267dSecondaryFind 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
267eSecondarySolve problems involving two points divided into a ratio where some values are unknown.drfrostmaths.com/explorer.php?ssid=5393
268SecondaryExam Practice: Plotting a straight line from a table of valuesdrfrostmaths.com/explorer.php?ssid=4265E268
268aSecondaryComplete a table of values for a linear graph with a positive integer coefficient of xdrfrostmaths.com/explorer.php?ssid=1235https://www.youtube.com/embed/Y8PbsC05PqAK388
268bSecondaryComplete a table of values for a linear graph with a negative integer coefficient of xdrfrostmaths.com/explorer.php?ssid=5394
268cSecondaryComplete a table of values for a linear graph with a fractional coefficient of xdrfrostmaths.com/explorer.php?ssid=5395
268dSecondaryPlot a linear graph using a completed table of values.drfrostmaths.com/explorer.php?ssid=5396
268eSecondaryComplete a table of values and plot the corresponding linear graph.drfrostmaths.com/explorer.php?ssid=5397
268fSecondaryPlot a linear graph using only two points.drfrostmaths.com/explorer.php?ssid=5398
269SecondaryExam Practice: Relationship between a line and its equationdrfrostmaths.com/explorer.php?ssid=89https://www.youtube.com/embed/D-lhiZFNrowE269
269aSecondaryDetermine whether a point lies on a line given its equation in the form y = mx + cdrfrostmaths.com/explorer.php?ssid=1406https://www.youtube.com/embed/PUZK13UlTHkK394
269bSecondaryDetermine whether a point lies on a line given its equation in the form ax + by = cdrfrostmaths.com/explorer.php?ssid=2191
269cSecondaryDetermine the missing x or y coordinate given the equation of a straight line.drfrostmaths.com/explorer.php?ssid=2192
269dSecondaryDraw a line with equation x=a, y=b, y=x or y=-xdrfrostmaths.com/explorer.php?ssid=1241https://www.youtube.com/embed/zow4xzc8oGEK389
270SecondaryExam Practice: x and y intercepts of a linedrfrostmaths.com/explorer.php?ssid=4266E270
270aSecondaryDetermine the x or y intercept of a straight line which is drawn.drfrostmaths.com/explorer.php?ssid=837https://www.youtube.com/embed/RZCiW_iX9nwK399
270bSecondaryDetermine the x or y intercept of a straight line given an equation by substitution of 0.drfrostmaths.com/explorer.php?ssid=1397https://www.youtube.com/embed/zMApPWEBjuEK395
270cSecondaryDetermine the midpoint of the line segment between the x and y intercepts of a straight line.drfrostmaths.com/explorer.php?ssid=5399
270dSecondaryFind the area enclosed by a straight line and its intercepts with the axes.drfrostmaths.com/explorer.php?ssid=5400
270eSecondaryFind the coordinate of a point between the x and y intercepts in a particular ratio.drfrostmaths.com/explorer.php?ssid=1690https://www.youtube.com/embed/-LNSHoWhFl8
271SecondaryExam Practice: Gradient of a linedrfrostmaths.com/explorer.php?ssid=90https://www.youtube.com/embed/fnKIlkGBfeEE271
271aSecondaryDetermine the gradient of a line by counting unit squares.drfrostmaths.com/explorer.php?ssid=5401
271bSecondaryDetermine the gradient of a slope triangle.drfrostmaths.com/explorer.php?ssid=5402
271cSecondaryDetermine the gradient of a straight line which is drawn with a supporting triangle.drfrostmaths.com/explorer.php?ssid=5403
271dSecondaryDetermine the gradient of a straight line which is drawn on axes with scale in ones. drfrostmaths.com/explorer.php?ssid=5404
271eSecondaryDetermine the gradient of a straight line which is drawn on axes with unusual scale. drfrostmaths.com/explorer.php?ssid=836https://www.youtube.com/embed/OxYk4R1cey4K396
271fSecondaryDetermine the gradient of a line given a sketch of two points on the axes (not to scale).drfrostmaths.com/explorer.php?ssid=5405
271gSecondaryDetermine the gradient of a line given two coordinates.drfrostmaths.com/explorer.php?ssid=692https://www.youtube.com/embed/mHzvAzd6HGQK397
271hSecondaryDetermine the unknown x or y coordinate given two points and the value of the gradient.drfrostmaths.com/explorer.php?ssid=5406
271iSecondaryDetermine the unknown x or y coordinate given three points which lie on a straight line.drfrostmaths.com/explorer.php?ssid=5407
271jSecondaryDetermine an algebraic expression for the gradient of a line given two coordinates.drfrostmaths.com/explorer.php?ssid=5408
271kSecondaryDetermine whether three points are collinear.drfrostmaths.com/explorer.php?ssid=5409
272SecondaryExam Practice: Understanding the equation of a straight line, y=mx+cdrfrostmaths.com/explorer.php?ssid=91https://www.youtube.com/embed/-oB1lIM0nHsE272
272aSecondaryWrite the equation of a line in the form y=mx+c given a gradient and y-intercept.drfrostmaths.com/explorer.php?ssid=5410
272bSecondaryDetermine the gradient or y-intercept of a line given its equation in the form y = mx + cdrfrostmaths.com/explorer.php?ssid=1253https://www.youtube.com/embed/CjU-C5177UsK398
272cSecondaryWrite the equation of a line in the form ax+by=c given a gradient and y-intercept.drfrostmaths.com/explorer.php?ssid=5411
272dSecondaryDetermine the gradient or y-intercept of a line given its equation in the form ax + by = c or ax + by + c = 0drfrostmaths.com/explorer.php?ssid=1254https://www.youtube.com/embed/dvx9QJZyq9gK404
272eSecondaryDetermine the steepest line from a set of equations.drfrostmaths.com/explorer.php?ssid=5412
273SecondaryExam Practice: Determining the equation of a straight linedrfrostmaths.com/explorer.php?ssid=92https://www.youtube.com/embed/v-9C9Og0SrUE273
273aSecondaryDetermine the equation of a straight line given in the form x=a, y=b, y=x or y=-xdrfrostmaths.com/explorer.php?ssid=1102https://www.youtube.com/embed/2e1C1uH6zkgK400
273bSecondaryDetermine the equation of a straight line in y=mx+c form which is drawn.drfrostmaths.com/explorer.php?ssid=838https://www.youtube.com/embed/gWATRVIyL-YK401
273cSecondaryDetermine the equation of a straight line in ax+by=c form which is drawn.drfrostmaths.com/explorer.php?ssid=5413
273dSecondaryDetermine 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=1695https://www.youtube.com/embed/vAXa-tvU0CU
273eSecondaryDetermine the equation of a straight line in y=mx+c form given a non-integer gradient and a point.drfrostmaths.com/explorer.php?ssid=689https://www.youtube.com/embed/vAXa-tvU0CUK402
273fSecondaryDetermine the equation of a straight line in ax+by=c form given a gradient and a point.drfrostmaths.com/explorer.php?ssid=5414
273gSecondaryDetermine the equation of a straight line in the form y=mx+c given two points.drfrostmaths.com/explorer.php?ssid=735https://www.youtube.com/embed/MTrQvt8Dag0K403
273hSecondaryDetermine the equation of a straight line in the form ax + by = c given two points.drfrostmaths.com/explorer.php?ssid=5415
273iSecondaryDetermine the equation of the median of a triangle given its coordinates.drfrostmaths.com/explorer.php?ssid=5416
274SecondaryExam Practice: Drawing a line from its equationdrfrostmaths.com/explorer.php?ssid=88https://www.youtube.com/embed/-15NrddYXosE274
274aSecondaryDraw a line from its equation given in the form y=mx+c when the gradient is positive.drfrostmaths.com/explorer.php?ssid=798https://www.youtube.com/embed/xAIJ3Zki24oK390
274bSecondaryDraw a line from its equation given in the form y=mx+c when the gradient is negative.drfrostmaths.com/explorer.php?ssid=799https://www.youtube.com/embed/IP1xJr9bjnUK391
274cSecondaryDraw a line from its equation given in the form y=mx+c when the gradient is a fraction.drfrostmaths.com/explorer.php?ssid=800https://www.youtube.com/embed/5P7vPnNMFtoK392
274dSecondaryDraw a line with an equation given in the form x+y=adrfrostmaths.com/explorer.php?ssid=5417
274eSecondaryDraw a line with an equation given in the form ax+by=cdrfrostmaths.com/explorer.php?ssid=1303https://www.youtube.com/embed/wCjr7KVxU1AK393
275SecondaryExam Practice: Equations of parallel linesdrfrostmaths.com/explorer.php?ssid=93https://www.youtube.com/embed/JO_xha-5EwUE275
275aSecondaryDetermine if two straight lines are parallel given their equations. drfrostmaths.com/explorer.php?ssid=5418
275bSecondaryFind an equation of a line parallel to another in the form y=mx+cdrfrostmaths.com/explorer.php?ssid=736https://www.youtube.com/embed/ugNY9ag08GgK405
275cSecondaryFind an equation of a line parallel to another given in the form ax+by=cdrfrostmaths.com/explorer.php?ssid=5419
275dSecondaryFind 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
275eSecondaryFind 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
276SecondaryExam Practice: Solving linear simultaneous equations/systems of equations using graphical methodsdrfrostmaths.com/explorer.php?ssid=84E276
276aSecondarySolve linear simultaneous equations/systems of equations using an existing sketch of each line.drfrostmaths.com/explorer.php?ssid=1760
276bSecondarySolve linear simultaneous equations/systems of equations by first sketching each line.drfrostmaths.com/explorer.php?ssid=5422
277SecondaryExam Practice: Solving linear simultaneous equations/systems of equations using elimination or substitutiondrfrostmaths.com/explorer.php?ssid=82https://www.youtube.com/embed/XWNropJ5pn0E277
277aSecondarySolve linear simultaneous equations/systems of equations where one unknown has equal positive coefficients.drfrostmaths.com/explorer.php?ssid=1018https://www.youtube.com/embed/BueMJH0h3e8K376
277bSecondarySolve linear simultaneous equations/systems of equations where one unknown has equal coefficients with different signs.drfrostmaths.com/explorer.php?ssid=1022https://www.youtube.com/embed/3OUQpUl1pg0K377
277cSecondarySolve linear simultaneous equations/systems of equations where one unknown has unequal positive coefficients.drfrostmaths.com/explorer.php?ssid=1751
277dSecondarySolve linear simultaneous equations/systems of equations with unequal coefficients where the unknowns have the same signs.drfrostmaths.com/explorer.php?ssid=1023https://www.youtube.com/embed/8ZEdxhitNqQK378
277eSecondarySolve linear simultaneous equations/systems of equations with unequal coefficients where the second unknowns have different signs.drfrostmaths.com/explorer.php?ssid=1024https://www.youtube.com/embed/5vu5Eb1gVlcK379
277fSecondarySolve linear simultaneous equations/systems of equations requiring rearrangement by elimination.drfrostmaths.com/explorer.php?ssid=1174K774
277gSecondarySolve linear simultaneous equations/systems of equations by substitution.drfrostmaths.com/explorer.php?ssid=1555K742
277hSecondarySolve 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
277iSecondaryForm and solve simultaneous equations/systems of equations for a given context.drfrostmaths.com/explorer.php?ssid=1026https://www.youtube.com/embed/CeA_Uqp9hwgK380
277jSecondarySolve linear simultaneous equations/systems of equations to determine the point of intersection of two lines.drfrostmaths.com/explorer.php?ssid=1025K375
278SecondaryExam Practice: Converting from a recurring decimal to a fractiondrfrostmaths.com/explorer.php?ssid=36https://www.youtube.com/embed/Je9sKSmPThEE278
278aSecondaryConvert from a recurring decimal to a fraction with a single digit recurring.drfrostmaths.com/explorer.php?ssid=821https://www.youtube.com/embed/LjQ5VmPx97UK469
278bSecondaryConvert from a recurring decimal to a fraction with two or more digits recurring.drfrostmaths.com/explorer.php?ssid=830https://www.youtube.com/embed/wJfCuhrmIGAK470
278cSecondaryConvert from a recurring decimal to a fraction where some digits do not recur.drfrostmaths.com/explorer.php?ssid=831https://www.youtube.com/embed/_UufLnymjx8K471
278dSecondaryMultiply two recurring decimals.drfrostmaths.com/explorer.php?ssid=5424
278eSecondaryConvert a recurring decimal with a variable as a digit to a fraction.drfrostmaths.com/explorer.php?ssid=5425
279SecondaryExam Practice: Reflecting a shape in a line with given equationdrfrostmaths.com/explorer.php?ssid=6https://www.youtube.com/embed/NSPvXW6M3PsE279
279aSecondaryReflect a shape against a vertical or horizontal line with a given equation.drfrostmaths.com/explorer.php?ssid=850https://www.youtube.com/embed/yijLg88zRAgK489
279bSecondaryReflect a shape against a diagonal line with a given equation.drfrostmaths.com/explorer.php?ssid=1475K490
280SecondaryExam Practice: Describing a reflectiondrfrostmaths.com/explorer.php?ssid=7https://www.youtube.com/embed/wZmdzlsnkJ4E280
280aSecondaryDescribe a reflection in a vertical or horizontal line on a set of axes.drfrostmaths.com/explorer.php?ssid=852https://www.youtube.com/embed/0ffVS3ijEd0K491
280bSecondaryDescribe a reflection in a diagonal line on a set of axes.drfrostmaths.com/explorer.php?ssid=853https://www.youtube.com/embed/_s25lIaNJ6QK492
281SecondaryExam Practice: Rotational symmetrydrfrostmaths.com/explorer.php?ssid=144https://www.youtube.com/embed/uoLkjhC-InUE281
281aSecondaryIdentify the order of rotational symmetry.drfrostmaths.com/explorer.php?ssid=996https://www.youtube.com/embed/uoLkjhC-InUK98
281bSecondaryIdentify shapes with a given order of rotational symmetry from their name.drfrostmaths.com/explorer.php?ssid=5426
281cSecondaryModify a diagram to achieve a rotational symmetry of a given order.drfrostmaths.com/explorer.php?ssid=8325
282SecondaryExam Practice: Rotating a shape by a given angle around a given pointdrfrostmaths.com/explorer.php?ssid=10https://www.youtube.com/embed/WgKHtet5dNUE282
282aSecondaryRotate a shape by 90^{\circ}, 180^{\circ} or 270^{\circ} about a point on a grid.drfrostmaths.com/explorer.php?ssid=5427
282bSecondaryRotate a shape by 90^{\circ}, 180^{\circ} or 270^{\circ} on axes, about the origin, using tracing paper.drfrostmaths.com/explorer.php?ssid=2318
282cSecondaryRotate a shape by by 90^{\circ}, 180^{\circ} or 270^{\circ} on axes, about any point, using tracing paper.drfrostmaths.com/explorer.php?ssid=802K276
282cSecondaryDELETED Rotate a shape 270^{\circ} about a point.drfrostmaths.com/explorer.php?ssid=848K277
282dSecondaryRotate a shape by 90^{\circ} or 270^{\circ}on axes, about any point, without tracing paper.drfrostmaths.com/explorer.php?ssid=5428
282eSecondaryRotate a shape by 180^{\circ} on axes, about any point, without tracing paper.drfrostmaths.com/explorer.php?ssid=5429
283SecondaryExam Practice: Describing a rotationdrfrostmaths.com/explorer.php?ssid=11https://www.youtube.com/embed/TahCIk3iDCEE283
283aSecondaryDescribe a rotation centred at the origin.drfrostmaths.com/explorer.php?ssid=854https://www.youtube.com/embed/N-PlllnzOWsK282
283bSecondaryDescribe a rotation centred at any point.drfrostmaths.com/explorer.php?ssid=855https://www.youtube.com/embed/rH8ap8kJTWgK283
283cSecondaryDELETED Describe a 90^{\circ} rotation centred at a point.drfrostmaths.com/explorer.php?ssid=1390https://www.youtube.com/embed/awybFoRpDeUK284
283dSecondaryUse positive and negative numbers to describe the direction of a rotation.drfrostmaths.com/explorer.php?ssid=5430
284SecondaryExam Practice: Scale drawings including map scalesdrfrostmaths.com/explorer.php?ssid=132https://www.youtube.com/embed/6H_h_YrLf-ME284
284aSecondaryDetermine the measurement of a real-life object given a measurement on a model and a ratio in the form 1:ndrfrostmaths.com/explorer.php?ssid=5431
284bSecondaryDetermine the measurement of a model given the real-life measurement and a ratio in the form 1:ndrfrostmaths.com/explorer.php?ssid=5432
284cSecondaryEstimate the measurement of a real-life object given a scale drawing and another real-life measurement. drfrostmaths.com/explorer.php?ssid=5433
284dSecondaryEstimate 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
284eSecondaryUse a map scale to find an actual distance.drfrostmaths.com/explorer.php?ssid=1376https://www.youtube.com/embed/61MN_RknWA4K543
284fSecondaryUse a map scale given in the form 1:n to find an actual distance.drfrostmaths.com/explorer.php?ssid=1377https://www.youtube.com/embed/jgwxNzCUW14K544
284gSecondaryComplete scale drawings with bearings.drfrostmaths.com/explorer.php?ssid=5435
285SecondaryExam Practice: Constructions with lines and anglesdrfrostmaths.com/explorer.php?ssid=131https://www.youtube.com/embed/b35saVAV21oE285
285aSecondaryDELETED TODO Construct a triangle using compasses.drfrostmaths.com/explorer.php?ssid=1126K703
285aSecondaryUnderstand Euclid's Postulates that form the basis of constructing diagrams with a straight edge and compass.drfrostmaths.com/explorer.php?ssid=5436
285bSecondaryConstruct a circle with a given radius.drfrostmaths.com/explorer.php?ssid=5437
285cSecondaryConstruct the perpendicular bisector of a line.drfrostmaths.com/explorer.php?ssid=1127K533
285dSecondaryConstruct the bisector of an angle.drfrostmaths.com/explorer.php?ssid=1128K534
285eSecondaryConstruct a line perpendicular to another line, passing through a given point.drfrostmaths.com/explorer.php?ssid=1415K536
285fSecondaryConstruct a line perpendicular to another line, passing through a given point on the line.drfrostmaths.com/explorer.php?ssid=1416K537
285gSecondaryConstruct a line segment of a given length on a given raydrfrostmaths.com/explorer.php?ssid=5438
285hSecondaryConstruct a division of a line segment into two equal segments.drfrostmaths.com/explorer.php?ssid=5439
285iSecondaryConstruct a division of a line segment into three equal segments.drfrostmaths.com/explorer.php?ssid=5440
285jSecondaryConstruct a division of a line segment into more than three equal segments.drfrostmaths.com/explorer.php?ssid=5441
285kSecondaryConstruct a 60 degree angle.drfrostmaths.com/explorer.php?ssid=5442
285lSecondaryConstruct a 30 degree angle.drfrostmaths.com/explorer.php?ssid=5443
285mSecondaryConstruct a 90 degree angle.drfrostmaths.com/explorer.php?ssid=5444
285nSecondaryConstruct a 45 degree angle.drfrostmaths.com/explorer.php?ssid=5445
285oSecondaryConstruct a parallelogram given the length of the sides and the measure of the angles.drfrostmaths.com/explorer.php?ssid=5446
285pSecondaryConstruct a hexagon inside a circle.drfrostmaths.com/explorer.php?ssid=5447
285qSecondaryConstruct a square given one of the sides.drfrostmaths.com/explorer.php?ssid=5448
285rSecondaryDetermine the centre of rotation between a shape and its image by constructing perpendicular bisectors.drfrostmaths.com/explorer.php?ssid=5449
286SecondaryExam Practice: Locidrfrostmaths.com/explorer.php?ssid=133E286
286aSecondaryConstruct the locus of the points away from two given points.drfrostmaths.com/explorer.php?ssid=1411K538
286bSecondaryConstruct the locus of the points away from at least two line segments.drfrostmaths.com/explorer.php?ssid=1412K539
286cSecondaryConstruct the locus of the points away from a point and a line segment.drfrostmaths.com/explorer.php?ssid=1413K540
286dSecondaryConstruct the locus of the points away from a shape.drfrostmaths.com/explorer.php?ssid=1469K541
286eSecondaryConstruct the locus of the points equidistant from two points.drfrostmaths.com/explorer.php?ssid=1470K542
287SecondaryExam Practice: Drawing and constructing trianglesdrfrostmaths.com/explorer.php?ssid=4267E287
287aSecondaryConstruct an equilateral triangle given one of its edges.drfrostmaths.com/explorer.php?ssid=5450
287bSecondaryConstruct a triangle given two angles and a side (ASA).drfrostmaths.com/explorer.php?ssid=1353K535
287cSecondaryConstruct a triangle given a right-angle, another angle and a side (ASA).drfrostmaths.com/explorer.php?ssid=5451
287dSecondaryConstruct a triangle given three sides (SSS).drfrostmaths.com/explorer.php?ssid=5452
287eSecondaryConstruct a triangle given two sides and their included angle (SAS).drfrostmaths.com/explorer.php?ssid=5453
287fSecondaryConstruct a right-angled triangle given the lengths of the hypotenuse and another side.drfrostmaths.com/explorer.php?ssid=5454
288SecondaryExam Practice: Fractalsdrfrostmaths.com/explorer.php?ssid=4268E288
288aSecondaryUnderstand properties of fractals.drfrostmaths.com/explorer.php?ssid=5455
288bSecondaryKnow the names of common fractal types.drfrostmaths.com/explorer.php?ssid=5456
288cSecondaryUse a fractal rule to construct a shape to a particular depth.drfrostmaths.com/explorer.php?ssid=5457
288dSecondaryAppreciate the occurrence of fractal features in natural phenomena.drfrostmaths.com/explorer.php?ssid=5458
289SecondaryExam Practice: Pythagoras' theorem in 2D (excluding surds)drfrostmaths.com/explorer.php?ssid=137https://www.youtube.com/embed/SaU9vS6HJEsE289
289aSecondaryUse Pythagoras' theorem to calculate the hypotenuse of a right-angled triangle.drfrostmaths.com/explorer.php?ssid=718https://www.youtube.com/embed/T3skFbe4xpcK504
289bSecondaryUse Pythagoras' theorem to calculate a shorter side of a right-angled triangle.drfrostmaths.com/explorer.php?ssid=719https://www.youtube.com/embed/zyC57rYvOxkK505
289cSecondaryDetermine if a triangle is right-angled or if it is possible to construct (converse of Pythagoras' theorem).drfrostmaths.com/explorer.php?ssid=959K506
289dSecondaryUse Pythagoras' theorem to find a length in an isosceles triangle.drfrostmaths.com/explorer.php?ssid=1193https://www.youtube.com/embed/t3xeH4dYVg8K508
289eSecondaryUse Pythagoras's theorem to find the area of a triangle.drfrostmaths.com/explorer.php?ssid=2014https://www.youtube.com/embed/ofZ6zMmvVOI
289fSecondaryUse the area of a triangle to find a length.drfrostmaths.com/explorer.php?ssid=2052https://www.youtube.com/embed/CljQ80k0OE0
289gSecondaryUse Pythagoras' theorem to solve problems involving movement in cardinal directions.drfrostmaths.com/explorer.php?ssid=2057https://www.youtube.com/embed/5ndrqXt1BqQ
289hSecondaryUse Pythagoras' theorem to find a cost or other physical quantity involving the perimeter of a shape.drfrostmaths.com/explorer.php?ssid=2071
289iSecondaryUse Pythagoras' theorem to find a cost or other physical quantity involving the area of a shape.drfrostmaths.com/explorer.php?ssid=2072
289jSecondaryUse Pythagoras' theorem twice for two triangles with a shared shorter side.drfrostmaths.com/explorer.php?ssid=1226https://www.youtube.com/embed/I9CXO2wMOgYK509
289kSecondaryUse Pythagoras' theorem twice where a hypotenuse and a shorter length are shared.drfrostmaths.com/explorer.php?ssid=1617https://www.youtube.com/embed/E7ujaPaZVhM
289lSecondaryUse Pythagoras' theorem twice where a right-angled triangle is inscribed into another.drfrostmaths.com/explorer.php?ssid=1681https://www.youtube.com/embed/LEdx8rW50fk
289mSecondaryUse Pythagoras' theorem to find the perimeter of a shape that involves a circle.drfrostmaths.com/explorer.php?ssid=2067
289nSecondaryUse Pythagoras' theorem to determine the area of a compound shape that involves a circle.drfrostmaths.com/explorer.php?ssid=2069
289oSecondaryUse Pythagoras' theorem to determine a length in a trapezium.drfrostmaths.com/explorer.php?ssid=2107
289pSecondaryDetermine the perimeter of a polygon formed from triangles.drfrostmaths.com/explorer.php?ssid=2135
289qSecondaryUse the length of the diagonal of a square to find its side length.drfrostmaths.com/explorer.php?ssid=2194
289rSecondaryDetermine a length involving touching circles.drfrostmaths.com/explorer.php?ssid=2203
289sSecondaryProve Pythagoras' theorem and its converse.drfrostmaths.com/explorer.php?ssid=5459
290SecondaryExam Practice: Distance between two points given their coordinatesdrfrostmaths.com/explorer.php?ssid=367https://www.youtube.com/embed/ubyFqGudR_sE290
290aSecondaryUse Pythagoras' theorem to find the distance between two points.drfrostmaths.com/explorer.php?ssid=788https://www.youtube.com/embed/wh_hKbKYUaYK507
290bSecondaryUse Pythagoras' theorem to determine the perimeter of a rectangle given the coordinates of its vertices.drfrostmaths.com/explorer.php?ssid=5460
291SecondaryExam Practice: Properties of congruent shapesdrfrostmaths.com/explorer.php?ssid=4269E291
291aSecondaryIdentify congruent shapes.drfrostmaths.com/explorer.php?ssid=5461
291bSecondaryIdentify angles and lengths in congruent shapes.drfrostmaths.com/explorer.php?ssid=5462
291cSecondaryIdentify whether two triangles are congruent by SSS, SAS, ASA or RHS.drfrostmaths.com/explorer.php?ssid=5463
292SecondaryExam Practice: Properties of similar shapesdrfrostmaths.com/explorer.php?ssid=4270E292
292aSecondaryDetermine an angle in a shape similar to another.drfrostmaths.com/explorer.php?ssid=5464
292bSecondaryDetermine an angle in a shape similar to another with unknown angles.drfrostmaths.com/explorer.php?ssid=5465
292cSecondaryDetermine the scale factor between two similar shapes.drfrostmaths.com/explorer.php?ssid=5466
292dSecondaryDetermine if two shapes are similar given their lengths, considering the ratio of corresponding lengths in the shapes. drfrostmaths.com/explorer.php?ssid=5467
292eSecondaryDetermine if two shapes are similar given their lengths, considering the ratio of lengths within the shapes.drfrostmaths.com/explorer.php?ssid=5468
293SecondaryExam Practice: Determine unknown lengths in similar shapesdrfrostmaths.com/explorer.php?ssid=139https://www.youtube.com/embed/DJfaDL9JPyoE293
293aSecondaryDetermine unknown lengths given two separate similar shapes.drfrostmaths.com/explorer.php?ssid=734https://www.youtube.com/embed/wlWIGPNbU1kK520
293bSecondaryDetermine unknown lengths given two similar triangles with one vertex in common.drfrostmaths.com/explorer.php?ssid=728https://www.youtube.com/embed/ZtX87R6zgDMK521
293cSecondaryDetermine unknown lengths given two similar shapes where one is inscribed inside the other.drfrostmaths.com/explorer.php?ssid=732https://www.youtube.com/embed/rCUh4spSAhMK522
293dSecondaryDetermine missing lengths given two similar shapes and information about their perimeters. drfrostmaths.com/explorer.php?ssid=5469
293eSecondaryCalculate the amount of trimming required when enlarging an image from one size to another.drfrostmaths.com/explorer.php?ssid=5470
293fSecondaryDetermine unknown lengths given two similar shapes where one is inscribed inside the other and requires subtraction.drfrostmaths.com/explorer.php?ssid=733https://www.youtube.com/embed/j7lxlY9Wdw0K523
293gSecondaryDetermine an unknown shorter length on the coinciding side of one shape inscribed inside another.drfrostmaths.com/explorer.php?ssid=5471
293hSecondaryDetermine a length using similar triangles combined with Pythagoras' theorem.drfrostmaths.com/explorer.php?ssid=5472
293iSecondaryUse similar triangles to split a length in a ratio.drfrostmaths.com/explorer.php?ssid=5473
293jSecondaryProve Pythagoras' theorem using similar triangles.drfrostmaths.com/explorer.php?ssid=5474
294SecondaryExam Practice: Midpoint theorem and intercept theoremdrfrostmaths.com/explorer.php?ssid=4271E294
294aSecondaryUse the intercept theorem to find an unknown length on a smaller triangle.drfrostmaths.com/explorer.php?ssid=5475
294bSecondaryDetermine lengths using the intercept theorem in a triangle where multiple lines parallel to a side have been added.drfrostmaths.com/explorer.php?ssid=5476
294cSecondaryProve the midpoint theorem.drfrostmaths.com/explorer.php?ssid=5477
294dSecondaryUse the midpoint theorem to reason about angles or lengths in a triangle where two midpoints have been joined.drfrostmaths.com/explorer.php?ssid=5478
294eSecondaryUse 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
294fSecondaryUse the intercept theorem to find unknown lengths in a diagram where a parallelogram is inscribed inside a triangle.drfrostmaths.com/explorer.php?ssid=5480
294gSecondaryUse the converse of the midpoint theorem.drfrostmaths.com/explorer.php?ssid=5481
295SecondaryExam Practice: Describing an enlargement/dilation for a positive integer scale factordrfrostmaths.com/explorer.php?ssid=13https://www.youtube.com/embed/frfbJCqYf5YE295
295aSecondaryIdentify the scale factor of enlargement/dilation.drfrostmaths.com/explorer.php?ssid=2186
295bSecondaryDescribe an enlargement/dilation with an integer scale factor.drfrostmaths.com/explorer.php?ssid=858https://www.youtube.com/embed/C-Ri_p-kz04K286
296SecondaryExam Practice: Enlarging/dilating a shape by a given positive integer scale factor around a given centre of enlargement/dilation.drfrostmaths.com/explorer.php?ssid=12https://www.youtube.com/embed/EbVnFbA4O5wE296
296aSecondaryEnlarge/dilate a shape by a positive integer scale factor.drfrostmaths.com/explorer.php?ssid=803https://www.youtube.com/embed/i3_SRGPc1BcK285
297SecondaryExam Practice: Describing an enlargement/dilation for a positive decimal or positive fractional scale factordrfrostmaths.com/explorer.php?ssid=578E297
297aSecondaryDescribe an enlargement/dilation with a unit fraction scale factor.drfrostmaths.com/explorer.php?ssid=5482
297bSecondaryDescribe an enlargement/dilation with a decimal/fractional scale factor less than one.drfrostmaths.com/explorer.php?ssid=859https://www.youtube.com/embed/J7xIqspTw3QK495
297cSecondaryDescribe an enlargement/dilation with a decimal/fractional scale factor greater than one.drfrostmaths.com/explorer.php?ssid=5483
298SecondaryExam Practice: Enlarging/dilating a shape by a decimal or fractional scale factordrfrostmaths.com/explorer.php?ssid=579E298
298aSecondaryEnlarge/dilate a shape by a unit fraction scale factor.drfrostmaths.com/explorer.php?ssid=5484
298bSecondaryEnlarge/dilate a shape by a decimal or fractional scale factor less than one.drfrostmaths.com/explorer.php?ssid=805https://www.youtube.com/embed/OtXz8iA2ZxsK494
298cSecondaryEnlarge/dilate a shape by a decimal or fractional scale factor greater than one.drfrostmaths.com/explorer.php?ssid=5485
299SecondaryExam Practice: Negative indicesdrfrostmaths.com/explorer.php?ssid=57https://www.youtube.com/embed/RBPbRrHSCVsE299
299aSecondaryRaise a whole number to a negative integer power.drfrostmaths.com/explorer.php?ssid=648https://www.youtube.com/embed/nGRL49vG1PAK436
299bSecondaryRaise a fraction to a negative integer power.drfrostmaths.com/explorer.php?ssid=649https://www.youtube.com/embed/BRHrDcQEFaoK437
299cSecondaryRaise an algebraic term to a negative integer power.drfrostmaths.com/explorer.php?ssid=818https://www.youtube.com/embed/vNLeaAm9UVUK440
299dSecondaryWrite a fraction with an algebraic term on the denominator as a power of xdrfrostmaths.com/explorer.php?ssid=1621
299eSecondaryRaise an algebraic fraction to a negative integer power.drfrostmaths.com/explorer.php?ssid=2267
299fSecondaryDetermine the unknown power in an expression involving negative indices, given its equivalent value as a fraction.drfrostmaths.com/explorer.php?ssid=2258
299gSecondaryDetermine the unknown base in an expression involving negative indices, given its equivalent as a fraction.drfrostmaths.com/explorer.php?ssid=2310
299hSecondaryDetermine the unknown power or base in an expression involving negative indices, given its equivalent as a decimal.drfrostmaths.com/explorer.php?ssid=2314
299iSecondaryDetermine the unknown power in an expression involving index laws and negative indices, given its numeric equivalent.drfrostmaths.com/explorer.php?ssid=2268
299jSecondaryDetermine the unknown base in an expression involving index laws and negative indices, given its numeric equivalent.drfrostmaths.com/explorer.php?ssid=2311
300SecondaryExam Practice: Expanding two bracketsdrfrostmaths.com/explorer.php?ssid=70https://www.youtube.com/embed/QwAwH5qiA1YE300
300aSecondaryExpand two brackets given in the form (x+a)(x+b)drfrostmaths.com/explorer.php?ssid=5486
300bSecondaryExpand two brackets given in the form (x\pm a)(x\pm b)drfrostmaths.com/explorer.php?ssid=632https://www.youtube.com/embed/httabGl8BMcK351
300cSecondaryExpand two brackets given in the form (x-a)(x+a)drfrostmaths.com/explorer.php?ssid=1351https://www.youtube.com/embed/VNUEuFgayfAK354
300dSecondaryExpand an expression given in the form (x \pm a)^2drfrostmaths.com/explorer.php?ssid=1295https://www.youtube.com/embed/QAFfQKZR9I8K353
300eSecondaryExpand two brackets given in the form (ax \pm b)(cx \pm d)drfrostmaths.com/explorer.php?ssid=633https://www.youtube.com/embed/JPC2aIM6OcIK352
300fSecondaryExpand two brackets given in the form (ax-b)(ax+b)drfrostmaths.com/explorer.php?ssid=5487
300gSecondaryExpand two brackets given in the form (a \pm bx)(c \pm dx)drfrostmaths.com/explorer.php?ssid=5488
300hSecondaryExpand two brackets involving multiple variables.drfrostmaths.com/explorer.php?ssid=5489
300iSecondaryExpand two brackets with up to three terms in a single bracket.drfrostmaths.com/explorer.php?ssid=5490
300jSecondaryExpand two brackets given in the form (ax \pm b)(cx^2 \pm dx \pm e)drfrostmaths.com/explorer.php?ssid=1013https://www.youtube.com/embed/lYQGGK78800K763
300kSecondaryExpand two brackets involving index laws.drfrostmaths.com/explorer.php?ssid=5491
300lSecondaryExpand and simplify the sum of a double and single bracket expansion.drfrostmaths.com/explorer.php?ssid=1403https://www.youtube.com/embed/Mxz8iUNBvHYK356
300mSecondaryExpand and simplify the sum of two bracket expansions.drfrostmaths.com/explorer.php?ssid=5492
300nSecondaryExpand and simplify the difference of two bracket expansions.drfrostmaths.com/explorer.php?ssid=1400https://www.youtube.com/embed/HhO2riJk_DUK355
300oSecondaryExpand an expression given in the form (ax+b)^2 - (cx+d)^2drfrostmaths.com/explorer.php?ssid=2017https://www.youtube.com/embed/2ucaW5MCrYY
300pSecondaryExpand an expression given in the form (a+\frac{b}{x})^2drfrostmaths.com/explorer.php?ssid=2018https://www.youtube.com/embed/-8y8ZXmFDNk
301SecondaryExam Practice: Expanding three (or more) bracketsdrfrostmaths.com/explorer.php?ssid=501E301
301aSecondaryExpand a single term and two brackets given in the form ax(bx^2 \pm cx \pm d)drfrostmaths.com/explorer.php?ssid=5493
301bSecondaryExpand a single term and two brackets given in the form ax(bx \pm c)(dx \pm e)drfrostmaths.com/explorer.php?ssid=2015https://www.youtube.com/embed/yUpHtl2FboM
301cSecondaryExpand an expression given in the form (x \pm a)(x \pm b)(x \pm c)drfrostmaths.com/explorer.php?ssid=1650https://www.youtube.com/embed/BuacIrsxZ6g
301dSecondaryExpand an expression given in the form (x \pm a)(bx \pm c)(dx \pm e)drfrostmaths.com/explorer.php?ssid=5494
301eSecondaryExpand an expression given in the form (ax \pm b)(cx \pm d)(ex \pm f)drfrostmaths.com/explorer.php?ssid=634https://www.youtube.com/embed/GyqOPBdGcHoK357
301fSecondaryExpand an expression given in the form (ax \pm a)^3drfrostmaths.com/explorer.php?ssid=1294https://www.youtube.com/embed/kpMH9JabDQAK358
301gSecondaryExpand an expression given in the form (ax+b)^2(cx+d)drfrostmaths.com/explorer.php?ssid=1994https://www.youtube.com/embed/hxqegvamG9c
301hSecondaryExpand an expression given in the form (ax+b)^3+(cx+d)^2drfrostmaths.com/explorer.php?ssid=2009https://www.youtube.com/embed/QdhWhTMVgIk
302SecondaryExam Practice: Conversion of large numbers to and from standard form/scientific notationdrfrostmaths.com/explorer.php?ssid=45https://www.youtube.com/embed/v2m_PKVVLwQE302
302aSecondaryDetermine the smallest or largest value from numbers in standard form/scientific notation.drfrostmaths.com/explorer.php?ssid=5495
302bSecondaryConvert a large number to standard form/scientific notation.drfrostmaths.com/explorer.php?ssid=789https://www.youtube.com/embed/S_3w3bpPQfMK444
302cSecondaryConvert a large number in standard form/scientific notation to a normal number.drfrostmaths.com/explorer.php?ssid=791https://www.youtube.com/embed/KPcVaXrh198K446
302dSecondaryConvert 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=790https://www.youtube.com/embed/0sWuPH0AIBQK447
302eSecondaryOrder a mixture of larger numbers given in standard form/scientific notation and ordinary numbers.drfrostmaths.com/explorer.php?ssid=1448K443
302fSecondaryOrder 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
302gSecondaryOrder 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
302hSecondaryOrder 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
303SecondaryExam Practice: Conversion of small numbers to and from standard form/scientific notationdrfrostmaths.com/explorer.php?ssid=46https://www.youtube.com/embed/3pUioUlapFwE303
303aSecondaryConvert a small number to standard form/scientific notation.drfrostmaths.com/explorer.php?ssid=1263https://www.youtube.com/embed/nsl2604P89oK445
303bSecondaryConvert a small number in standard form/scientific notation to a normal number.drfrostmaths.com/explorer.php?ssid=2355
303cSecondaryConvert 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
303dSecondaryOrder a mixture of small numbers given in standard form/scientific notation and ordinary numbers.drfrostmaths.com/explorer.php?ssid=2351
303eSecondaryOrder 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
303fSecondaryOrder 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
303gSecondaryOrder a mixture of large and small numbers given in standard form/scientific notation and ordinary numbers.drfrostmaths.com/explorer.php?ssid=2368
303hSecondaryOrder 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
303iSecondaryOrder 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
303jSecondaryOrder 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
304SecondaryExam Practice: Adding or subtracting numbers in standard form/scientific notationdrfrostmaths.com/explorer.php?ssid=48https://www.youtube.com/embed/8ozX1iXs_GIE304
304aSecondaryAdd or subtract large numbers in standard form/scientific notation by conversion to ordinary numbers.drfrostmaths.com/explorer.php?ssid=795https://www.youtube.com/embed/pdsE38Z8UmAK448
304bSecondaryAdd or subtract small numbers in standard form/scientific notation by conversion to ordinary numbers.drfrostmaths.com/explorer.php?ssid=796https://www.youtube.com/embed/4XbZpicZ0NgK449
304cSecondaryAdd or subtract large numbers in standard form/scientific notation by use of equivalent powers of 10.drfrostmaths.com/explorer.php?ssid=5496
304dSecondaryAdd or subtract small numbers in standard form/scientific notation by use of equivalent powers of 10.drfrostmaths.com/explorer.php?ssid=5497
305SecondaryExam Practice: Multiplying and dividing numbers in standard form/scientific notationdrfrostmaths.com/explorer.php?ssid=47https://www.youtube.com/embed/BWNWVZF41rAE305
305aSecondaryMultiply numbers in standard form/scientific notation with only positive powers where no index adjustment is required.drfrostmaths.com/explorer.php?ssid=2373
305bSecondaryDivide numbers in standard form/scientific notation with only positive powers where no index adjustment is required.drfrostmaths.com/explorer.php?ssid=2377
305cSecondaryMultiply numbers in standard form/scientific notation with only negative powers where no index adjustment is required.drfrostmaths.com/explorer.php?ssid=2375
305dSecondaryDivide numbers in standard form/scientific notation with only negative powers where no index adjustment is required.drfrostmaths.com/explorer.php?ssid=2372
305eSecondaryMultiply numbers in standard form/scientific notation with only positive powers where index adjustment is required.drfrostmaths.com/explorer.php?ssid=792https://www.youtube.com/embed/-Tt7_UTKfTMK450
305fSecondaryDivide numbers in standard form/scientific notation with only positive powers where index adjustment is required.drfrostmaths.com/explorer.php?ssid=793https://www.youtube.com/embed/P-eRRr-6kF4K451
305gSecondaryMultiply numbers in standard form/scientific notation with only negative powers where index adjustment is required.drfrostmaths.com/explorer.php?ssid=2376
305hSecondaryDivide numbers in standard form/scientific notation with only negative powers where index adjustment is required.drfrostmaths.com/explorer.php?ssid=2379
305iSecondaryMultiply numbers in standard form/scientific notation with positive and negative powers which may require adjustment.drfrostmaths.com/explorer.php?ssid=2378
305jSecondaryDivide numbers in standard form/scientific notation with positive and negative powers which may require adjustment.drfrostmaths.com/explorer.php?ssid=794https://www.youtube.com/embed/wAF2i7JMh9wK452
305kSecondaryRaise an algebraic expression in standard form to a positive integer power, converting back to standard form.drfrostmaths.com/explorer.php?ssid=5498
306SecondaryExam Practice: Bases of number systems and counting in different basesdrfrostmaths.com/explorer.php?ssid=430E306
306aSecondaryCount in bases other than base 10.drfrostmaths.com/explorer.php?ssid=5499
306bSecondaryIdentify the base of a number system.drfrostmaths.com/explorer.php?ssid=5500
307SecondaryExam Practice: Converting numbers to decimal from another basedrfrostmaths.com/explorer.php?ssid=431E307
307aSecondaryConvert numbers to decimal from binary.drfrostmaths.com/explorer.php?ssid=1855https://www.youtube.com/embed/6uDIPxV7VhA
307bSecondaryConvert numbers to decimal from any base between 3 and 9.drfrostmaths.com/explorer.php?ssid=1858https://www.youtube.com/embed/LAlLv8ddgpY
307cSecondaryConvert numbers to decimal from any base greater than 10.drfrostmaths.com/explorer.php?ssid=1859https://www.youtube.com/embed/nLzcKkcZnyo
307dSecondaryWrite an expression, in terms of n for the value of a number in decimal, when written in base ndrfrostmaths.com/explorer.php?ssid=5501
308SecondaryExam Practice: Converting a number from decimal to another base.drfrostmaths.com/explorer.php?ssid=432E308
308aSecondaryConvert numbers from decimal to binary.drfrostmaths.com/explorer.php?ssid=1861
308bSecondaryConvert numbers from decimal to any base between 3 and 9.drfrostmaths.com/explorer.php?ssid=1862
308cSecondaryConvert numbers from decimal to any base greater than 10.drfrostmaths.com/explorer.php?ssid=1863
309SecondaryExam Practice: Converting to and from other ancient number systemsdrfrostmaths.com/explorer.php?ssid=4272E309
309aSecondaryConvert a number from Egyptian numeral hieroglyphs to decimal.drfrostmaths.com/explorer.php?ssid=5502
309bSecondaryConvert a number from Mayan (base 20) to decimal.drfrostmaths.com/explorer.php?ssid=5503
309cSecondaryConvert a number from Babylonian (base 60) to decimal.drfrostmaths.com/explorer.php?ssid=5504
309dSecondaryConvert a number from Cisterian numerals to decimal.drfrostmaths.com/explorer.php?ssid=5505
310SecondaryExam Practice: Understanding algebraic statements of inequalitydrfrostmaths.com/explorer.php?ssid=87https://www.youtube.com/embed/aospnqxvk2wE310
310aSecondaryRepresent a one-ended inequality on a number line.drfrostmaths.com/explorer.php?ssid=1121https://www.youtube.com/embed/JKSbMlBdeyAK341
310bSecondaryInterpret a one-ended inequality represented on a number line.drfrostmaths.com/explorer.php?ssid=1055https://www.youtube.com/embed/iKJN-j4eIu4K342
310cSecondaryRepresent a two-ended inequality on a number line.drfrostmaths.com/explorer.php?ssid=5506
310dSecondaryInterpret a two-ended inequality represented on a number line.drfrostmaths.com/explorer.php?ssid=5507
310eSecondaryList the integer values represented by an inequality on a number line.drfrostmaths.com/explorer.php?ssid=5508
311SecondaryExam Practice: Upper and lower bound of rounded values or identifying an error intervaldrfrostmaths.com/explorer.php?ssid=156https://www.youtube.com/embed/sfrT6b8QoXME311
311aSecondaryCalculate bounds of a number rounded to the nearest 1, 10, 100, 1000.drfrostmaths.com/explorer.php?ssid=808https://www.youtube.com/embed/OwzB3rcsWR8K453
311bSecondaryCalculate bounds of a number rounded to a given number of decimal places.drfrostmaths.com/explorer.php?ssid=809https://www.youtube.com/embed/2j9h0Y-DY-IK454
311cSecondaryCalculate bounds of a number rounded to a given number of significant figures.drfrostmaths.com/explorer.php?ssid=810https://www.youtube.com/embed/CsaqPmsDV3QK455
311dSecondaryCalculate bounds of a number truncated to a given number of decimal places.drfrostmaths.com/explorer.php?ssid=1078https://www.youtube.com/embed/wQwj6sVOMzgK458
311eSecondaryDetermine the error interval of a rounded number.drfrostmaths.com/explorer.php?ssid=1120https://www.youtube.com/embed/4l6Q6IdYkQcK456
312SecondaryExam Practice: Forming a grouped frequency table (using inequality notation)drfrostmaths.com/explorer.php?ssid=4273E312
312aSecondaryRead off frequency values from grouped frequency tables.drfrostmaths.com/explorer.php?ssid=2344
312bSecondaryForm a grouped frequency table.drfrostmaths.com/explorer.php?ssid=722https://www.youtube.com/embed/kR-nhxuin84K253
313SecondaryExam Practice: Estimating the mean from grouped frequency tablesdrfrostmaths.com/explorer.php?ssid=387https://www.youtube.com/embed/lAWcjzTaj6cE313
313aSecondaryExplain why midpoints are used to make estimates from grouped frequency tables.drfrostmaths.com/explorer.php?ssid=5509
313bSecondaryEstimate the total from a grouped frequency table.drfrostmaths.com/explorer.php?ssid=1437https://www.youtube.com/embed/Catys9NjVvcK254
313cSecondaryEstimate the mean from a grouped frequency table.drfrostmaths.com/explorer.php?ssid=743https://www.youtube.com/embed/Jgd-GrmEGiYK255
313dSecondaryDetermine an unknown frequency given an estimated mean for a grouped frequency table. drfrostmaths.com/explorer.php?ssid=5510
314SecondaryExam Practice: Modal and median class interval and estimate of the range from a grouped frequency tabledrfrostmaths.com/explorer.php?ssid=4274E314
314aSecondaryIdentify the modal class from a grouped frequency table.drfrostmaths.com/explorer.php?ssid=1388https://www.youtube.com/embed/cJzf3yxizC0K256
314bSecondaryIdentify the class interval of the median for a grouped frequency table.drfrostmaths.com/explorer.php?ssid=1425https://www.youtube.com/embed/Am9Fj9A0Vr8K257
314cSecondaryDetermine possible maximum and minimum ranges from grouped frequency tables.drfrostmaths.com/explorer.php?ssid=5511
315SecondaryExam Practice: Histograms of equal class widthdrfrostmaths.com/explorer.php?ssid=4275E315
315aSecondaryComplete a histogram with equal class widths using a frequency table.drfrostmaths.com/explorer.php?ssid=5512
315bSecondaryCalculate the frequency of a given range.drfrostmaths.com/explorer.php?ssid=5513
315cSecondaryCalculate a proportion or probability from a histogram with equal class widths.drfrostmaths.com/explorer.php?ssid=8323
316SecondaryExam Practice: Frequency polygonsdrfrostmaths.com/explorer.php?ssid=335https://www.youtube.com/embed/Tpw76PK3zxYE316
316aSecondaryInterpret a frequency polygon for ungrouped data.drfrostmaths.com/explorer.php?ssid=5514
316bSecondaryDraw a frequency polygon for ungrouped data.drfrostmaths.com/explorer.php?ssid=1054https://www.youtube.com/embed/MppB0LJJOmYK268
316cSecondaryInterpret a frequency polygon for grouped data.drfrostmaths.com/explorer.php?ssid=5515
316dSecondaryDraw a frequency polygon for grouped data.drfrostmaths.com/explorer.php?ssid=5516
316eSecondaryCompare data sets using frequency polygons.drfrostmaths.com/explorer.php?ssid=5517
317SecondaryExam Practice: Analysing graphical representationsdrfrostmaths.com/explorer.php?ssid=4276E317
317aSecondaryDetermine the most suitable graphical representation for a set of data. drfrostmaths.com/explorer.php?ssid=5518
317bSecondaryDetermine the modal value or class interval from a given graphical representation.drfrostmaths.com/explorer.php?ssid=5519
317cSecondaryDetermine the median value or class interval from a given graphical representation.drfrostmaths.com/explorer.php?ssid=5520
317dSecondaryDetermine the range or an estimate of the range from a given graphical representation.drfrostmaths.com/explorer.php?ssid=5521
317eSecondaryDetermine the mean or an estimate of the mean value from a given graphical representation.drfrostmaths.com/explorer.php?ssid=5522
317fSecondaryUnderstand how graphical representations can be used to mislead. drfrostmaths.com/explorer.php?ssid=5523
318SecondaryExam Practice: Further terms in relation to circles, including chord and segmentdrfrostmaths.com/explorer.php?ssid=130https://www.youtube.com/embed/KtvUWq_6ji0E318
318aSecondaryDELETED Know key terms in relation to circles.drfrostmaths.com/explorer.php?ssid=1050https://www.youtube.com/embed/-FYqvODpFzYK295
318aSecondaryIdentify chords and segments of a circle. drfrostmaths.com/explorer.php?ssid=5524
318bSecondaryUnderstand and use the relationship between a chord and its perpendicular bisector.drfrostmaths.com/explorer.php?ssid=5525
318cSecondaryUse the property that equal chords are equidistant from the centre of a circle.drfrostmaths.com/explorer.php?ssid=5526
319SecondaryExam Practice: Arc length of more general sectorsdrfrostmaths.com/explorer.php?ssid=370https://www.youtube.com/embed/ftfKqYOV1pUE319
319aSecondaryCalculate the arc length of a sector of a circle.drfrostmaths.com/explorer.php?ssid=1544https://www.youtube.com/embed/Z2TX1j6L6LcK739
319bSecondaryCalculate the perimeter of a sector of a circle.drfrostmaths.com/explorer.php?ssid=721https://www.youtube.com/embed/KG7TmtN5LoMK498
319cSecondaryDetermine the angle of a sector given its arc length and radius.drfrostmaths.com/explorer.php?ssid=786https://www.youtube.com/embed/_p69pN_x4rUK500
319dSecondaryDetermine the radius of a sector given its arc length and angle.drfrostmaths.com/explorer.php?ssid=785https://www.youtube.com/embed/4ONZUnSTTRYK499
319eSecondaryDetermine the area of a sector given its arc length.drfrostmaths.com/explorer.php?ssid=2218
319fSecondaryDetermine the perimeter of a portion of an annulus.drfrostmaths.com/explorer.php?ssid=2220
319gSecondaryDetermine the perimeter or arc length of a sector given its area.drfrostmaths.com/explorer.php?ssid=2217
320SecondaryExam Practice: Area of more general sectorsdrfrostmaths.com/explorer.php?ssid=575E320
320aSecondaryCalculate the area of the sector of a circle.drfrostmaths.com/explorer.php?ssid=720https://www.youtube.com/embed/VQ2oYjLIGlMK501
320bSecondaryDetermine the angle of a sector given its area and radius.drfrostmaths.com/explorer.php?ssid=787https://www.youtube.com/embed/ECTZMzpGf5IK503
320cSecondaryDetermine the radius of a sector given its area and angle.drfrostmaths.com/explorer.php?ssid=784https://www.youtube.com/embed/j2LnyqJlCXUK502
320dSecondaryDetermine the area of a portion of an annulus given the area of a sector.drfrostmaths.com/explorer.php?ssid=5527
321SecondaryExam Practice: Further constructions involving relationships of triangles and circlesdrfrostmaths.com/explorer.php?ssid=4277E321
321aSecondaryConstruct the circumcentre and circumcircle of a triangle.drfrostmaths.com/explorer.php?ssid=5528
321bSecondaryConstruct the incentre and incircle of a triangle.drfrostmaths.com/explorer.php?ssid=5529
321cSecondaryConstruct a tangent to a circle at a point.drfrostmaths.com/explorer.php?ssid=5530
321dSecondaryConstruct the centroid of a triangle.drfrostmaths.com/explorer.php?ssid=5531
321eSecondaryConstruct the orthocentre of a triangle.drfrostmaths.com/explorer.php?ssid=5532
322SecondaryExam Practice: Trigonometry to determine side lengths in a right-angled triangledrfrostmaths.com/explorer.php?ssid=147https://www.youtube.com/embed/r6xuUjwyKekE322
322SecondaryExam Practice: Solve problems involving general spatial awareness and reasoning.drfrostmaths.com/explorer.php?ssid=372E322
322aSecondaryLabel sides relative to a given angle in a right-angled triangle.drfrostmaths.com/explorer.php?ssid=729https://www.youtube.com/embed/kcL9jUuWT1oK482
322bSecondarySelect a trigonometric ratio.drfrostmaths.com/explorer.php?ssid=1536K732
322cSecondaryUse \sin, \cos and \tan to determine an unknown shorter length in a right-angled triangle.drfrostmaths.com/explorer.php?ssid=591https://www.youtube.com/embed/EybxUCj6yW0K483
322dSecondaryUse \sin, \cos and \tan to determine the hypotenuse or adjacent side in a right-angled triangle.drfrostmaths.com/explorer.php?ssid=730https://www.youtube.com/embed/2TsUAaz5X-cK484
322eSecondaryUse Pythagoras' theorem then trigonometry to determine an unknown side.drfrostmaths.com/explorer.php?ssid=1227https://www.youtube.com/embed/HmL6V_LDHsAK485
322fSecondaryDetermine a length in a right-angled triangle by first using a ratio to determine the angles.drfrostmaths.com/explorer.php?ssid=1725
322gSecondaryDetermine lengths involving angles of depression or elevation.drfrostmaths.com/explorer.php?ssid=1952
322hSecondaryUse trigonometry to determine the perimeter or a length within an isosceles triangle.drfrostmaths.com/explorer.php?ssid=5533
322iSecondaryUse trigonometry to determine the perimeter or a length within a trapezium.drfrostmaths.com/explorer.php?ssid=1953
322jSecondaryUse trigonometry to determine the area of a right-angled triangle.drfrostmaths.com/explorer.php?ssid=1954
322kSecondaryUse trigonometry to determine the area of an isosceles triangle.drfrostmaths.com/explorer.php?ssid=1955
322lSecondaryDetermine a length within one triangle inscribed inside another.drfrostmaths.com/explorer.php?ssid=1956
322mSecondaryDetermine a length of an isosceles triangle with an inscribed circle.drfrostmaths.com/explorer.php?ssid=1957
322nSecondaryDetermine the area of an isosceles triangle with an inscribed circle.drfrostmaths.com/explorer.php?ssid=2061
322oSecondaryUse trigonometry to determine the area of the kite created by two radii and two tangents of a circle.drfrostmaths.com/explorer.php?ssid=1958
322pSecondaryDetermine the length of a perpendicular bisector of a chord in a circle.drfrostmaths.com/explorer.php?ssid=2118
322qSecondaryDetermine the lengths of a right-angled triangle to calculate the perimeter of a compound shape.drfrostmaths.com/explorer.php?ssid=1960
322rSecondarySolve a problem with bearings using trigonometry in a right-angled triangle.drfrostmaths.com/explorer.php?ssid=1471K671
322sSecondaryUse trigonometry to determine the area enclosed between two tangents and the arc of a circle.drfrostmaths.com/explorer.php?ssid=1959
323SecondaryExam Practice: Trigonometry to determine angles in a right-angled triangledrfrostmaths.com/explorer.php?ssid=148https://www.youtube.com/embed/5brkGmejvqUE323
323aSecondaryUse inverse trigonometric functions to solve \sin x = a using a calculator.drfrostmaths.com/explorer.php?ssid=1759
323bSecondaryUse trigonometry to determine unknown angles in a right-angled triangle.drfrostmaths.com/explorer.php?ssid=731https://www.youtube.com/embed/daP8ZMdCoykK486
323cSecondaryUse Pythagoras' theorem then trigonometry to determine an unknown angle.drfrostmaths.com/explorer.php?ssid=1225https://www.youtube.com/embed/d6W2CzbyKosK487
323dSecondaryUse trigonometry to determine angles of elevation and depression.drfrostmaths.com/explorer.php?ssid=1675
323eSecondaryDetermine an angle when a ratio of sides is given.drfrostmaths.com/explorer.php?ssid=2142
323fSecondaryDetermine an angle in an isosceles triangle (no cosine rule/Law of Cosines).drfrostmaths.com/explorer.php?ssid=2145
323gSecondaryUse trigonometry to determine a length followed by an angle.drfrostmaths.com/explorer.php?ssid=2146
323hSecondaryDetermine 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
323iSecondaryDetermine 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
323jSecondaryUse trigonometry to determine an angle in inscribed triangles.drfrostmaths.com/explorer.php?ssid=2148
323kSecondaryDetermine an angle in a trapezium using Pythagoras' theorem or three of the lengths.drfrostmaths.com/explorer.php?ssid=2149
323lSecondaryDetermine an angle in a trapezium using its area and parallel sides.drfrostmaths.com/explorer.php?ssid=2150
323mSecondaryUse trigonometry to determine an arc length given tangents and radii of a circle.drfrostmaths.com/explorer.php?ssid=2151
324SecondaryExam Practice: Converting between units of area and volumedrfrostmaths.com/explorer.php?ssid=154https://www.youtube.com/embed/6xEMe5M9VJgE324
324aSecondaryConvert metric units of area by multiplying.drfrostmaths.com/explorer.php?ssid=1211https://www.youtube.com/embed/FxRCoWfVt_EK529
324bSecondaryConvert metric units of area by dividing.drfrostmaths.com/explorer.php?ssid=1212https://www.youtube.com/embed/Y4McxXelJvwK530
324cSecondaryConvert metric units of volume by multiplying.drfrostmaths.com/explorer.php?ssid=1213https://www.youtube.com/embed/e2v1ZyfhmIEK531
324dSecondaryConvert metric units of volume by dividing.drfrostmaths.com/explorer.php?ssid=1214https://www.youtube.com/embed/lizhx89P7UgK532
324eSecondaryConvert from units of capacity to units of volume.drfrostmaths.com/explorer.php?ssid=1282K135
324fSecondaryConvert from units of volume to units of capacity.drfrostmaths.com/explorer.php?ssid=1283K134
325SecondaryExam Practice: Relationship between scale factors of length, area and volumedrfrostmaths.com/explorer.php?ssid=140https://www.youtube.com/embed/ao0GmorAq3IE325
325aSecondaryDetermine the area of a shape, given the area of a similar shape and their side lengths.drfrostmaths.com/explorer.php?ssid=824https://www.youtube.com/embed/efHHb2-wUnIK524
325bSecondaryDetermine 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
325cSecondaryDetermine the volume of a shape, given the volume of a similar shape and their side lengths.drfrostmaths.com/explorer.php?ssid=826https://www.youtube.com/embed/SoMC_burbacK525
325dSecondaryDetermine 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
325eSecondaryDetermine the surface area of a similar solid when the volumes are given.drfrostmaths.com/explorer.php?ssid=825https://www.youtube.com/embed/bCvYK5ba4UgK526
325fSecondaryDetermine the volume of a similar solid when the surface areas are given.drfrostmaths.com/explorer.php?ssid=827https://www.youtube.com/embed/u411Iper_bMK527
325gSecondaryDetermine 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=828https://www.youtube.com/embed/cYFDbET1njUK528
325hSecondaryAppreciate 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
325iSecondaryDetermine an actual area given an area on the map.drfrostmaths.com/explorer.php?ssid=1575K754
325jSecondaryDetermine an area on a map given the actual area.drfrostmaths.com/explorer.php?ssid=1576K755
325kSecondaryDetermine an area for inscribed triangles.drfrostmaths.com/explorer.php?ssid=2269
325lSecondaryForm an equation relating areas in inscribed triangles.drfrostmaths.com/explorer.php?ssid=2281
325mSecondaryUse 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
325nSecondaryUse the area of a shape to determine the increase in area from a similar shape inscribed in it.drfrostmaths.com/explorer.php?ssid=2307
325oSecondaryUse the area of increase from an enlarged shape to determine the area of the original shape.drfrostmaths.com/explorer.php?ssid=2325
325pSecondarySolve problems involving similarity of a frustum and its original cone or pyramid.drfrostmaths.com/explorer.php?ssid=2326
326SecondaryExam Practice: Speed calculations for a single journeydrfrostmaths.com/explorer.php?ssid=155https://www.youtube.com/embed/J_r_TopXCMEE326
326aSecondaryCalculate the average speed given the distance and time.drfrostmaths.com/explorer.php?ssid=739https://www.youtube.com/embed/hkF8L21LJrkK512
326bSecondaryCalculate the average speed when the time is given in hours and minutes.drfrostmaths.com/explorer.php?ssid=5536
326cSecondaryCalculate the distance given the average speed and time.drfrostmaths.com/explorer.php?ssid=740https://www.youtube.com/embed/3y5aSr1qRhgK513
326dSecondaryCalculate the time given the average speed and distance.drfrostmaths.com/explorer.php?ssid=741https://www.youtube.com/embed/gCybJxJ4YKoK514
326eSecondaryCalculate a speed or distance using a timetable.drfrostmaths.com/explorer.php?ssid=5537
326fSecondarySolve problems involving speed with unit conversionsdrfrostmaths.com/explorer.php?ssid=1742
326gSecondaryCalculate speed or time using the perimeter of a shape.drfrostmaths.com/explorer.php?ssid=5538
327SecondaryExam Practice: Speed calculations for multiple journeys or a journey in stagesdrfrostmaths.com/explorer.php?ssid=4278E327
327aSecondaryCalculate the end time on a 12 or 24 hour clock using a calculation involving speed, distance and time.drfrostmaths.com/explorer.php?ssid=5539
327bSecondaryDetermine the speed, distance or time in the second part of a journey.drfrostmaths.com/explorer.php?ssid=5540
327cSecondaryDetermine the average speed by combining two parts of a journey.drfrostmaths.com/explorer.php?ssid=1399https://www.youtube.com/embed/Pwh-5dLKH4MK515
327dSecondaryUse a speed, distance or time calculation from one journey to make a calculation about another journey.drfrostmaths.com/explorer.php?ssid=5541
328SecondaryExam Practice: Constructing and reading distance-time graphsdrfrostmaths.com/explorer.php?ssid=395E328
328aSecondaryState the distance from a point using a distance-time graph.drfrostmaths.com/explorer.php?ssid=2278
328bSecondaryState the time of specific events on a distance-time graph.drfrostmaths.com/explorer.php?ssid=2161
328cSecondaryState the duration of specific events on a distance-time graph.drfrostmaths.com/explorer.php?ssid=2162
328dSecondaryCalculate a speed on a distance-time graph.drfrostmaths.com/explorer.php?ssid=1125K327
328eSecondaryConstruct a distance-time graph from provided information.drfrostmaths.com/explorer.php?ssid=1124https://www.youtube.com/embed/fEGH5satAEwK326
329SecondaryExam Practice: Densitydrfrostmaths.com/explorer.php?ssid=400https://www.youtube.com/embed/XZM9k8j1dOcE329
329aSecondaryCalculate the density given the mass and the volume.drfrostmaths.com/explorer.php?ssid=1289https://www.youtube.com/embed/H_o8tewYAjkK517
329bSecondaryCalculate the mass given the density and the volume.drfrostmaths.com/explorer.php?ssid=1290https://www.youtube.com/embed/eAzRq-9fRTQK518
329cSecondaryCalculate the volume given the density and the mass.drfrostmaths.com/explorer.php?ssid=1291https://www.youtube.com/embed/f-ipLI__7DAK519
329dSecondarySolve problems involving mass, density and volume of a cuboid or prism (excluding cylinders).drfrostmaths.com/explorer.php?ssid=5542
329eSecondarySolve problems involving mass, density and volume of a cylinder.drfrostmaths.com/explorer.php?ssid=5543
329fSecondaryProblem solve using mass, density and volume, involving mixed units.drfrostmaths.com/explorer.php?ssid=5544
329gSecondarySolve problems involving two densities.drfrostmaths.com/explorer.php?ssid=1445K516
330SecondaryExam Practice: Pressuredrfrostmaths.com/explorer.php?ssid=4279E330
330aSecondaryCalculate pressure, force or area where two of the values are provided.drfrostmaths.com/explorer.php?ssid=5545
330bSecondarySolve problems involving pressure, force and area involving a surface or 3D shape.drfrostmaths.com/explorer.php?ssid=5546
331SecondaryExam Practice: Other compound measures (excluding speed, pressure and density)drfrostmaths.com/explorer.php?ssid=4280E331
331aSecondaryCalculate general compound measures, such as rate of flow. drfrostmaths.com/explorer.php?ssid=5547
331bSecondaryDetermine the time to fill or empty a container given the rate of flow.drfrostmaths.com/explorer.php?ssid=1577K756
331cSecondarySolve problems involving rate of flow in more complex solids.drfrostmaths.com/explorer.php?ssid=5548
332SecondaryExam Practice: Convert between units for compound measuresdrfrostmaths.com/explorer.php?ssid=4281E332
332aSecondaryConvert between compound measures where only the first unit changes.drfrostmaths.com/explorer.php?ssid=5549
332bSecondaryConvert between compound measures where only the second unit changes.drfrostmaths.com/explorer.php?ssid=5550
332cSecondaryConvert between compound measures where both units change.drfrostmaths.com/explorer.php?ssid=5551
332dSecondaryConvert between m/s and km/h.drfrostmaths.com/explorer.php?ssid=2090
332eSecondaryConvert between N/cm^2 and N/m^2drfrostmaths.com/explorer.php?ssid=5552
332fSecondaryConvert between g/cm^3 and kg/m^3drfrostmaths.com/explorer.php?ssid=5553
333SecondaryExam Practice: Real-life linear graphsdrfrostmaths.com/explorer.php?ssid=4282E333
333aSecondaryDetermine the gradient of a straight line which is drawn in context.drfrostmaths.com/explorer.php?ssid=5554
333bSecondaryDetermine the y-intercept of a straight line which is drawn in context.drfrostmaths.com/explorer.php?ssid=5555
333cSecondaryInterpret the gradient of a straight line which is drawn in context.drfrostmaths.com/explorer.php?ssid=5556
333dSecondaryInterpret the y-intercept of a straight line which is drawn in context.drfrostmaths.com/explorer.php?ssid=5557
333eSecondaryDetermine the equation of a straight line which is drawn in context.drfrostmaths.com/explorer.php?ssid=5558
333fSecondaryInterpret the gradient and y-intercept of a line of best fit.drfrostmaths.com/explorer.php?ssid=8307
333gSecondaryDetermine the equation of a line of best fit.drfrostmaths.com/explorer.php?ssid=8308
333hSecondaryMake connections between the shape of a graph and the story of a phenomenon.drfrostmaths.com/explorer.php?ssid=5559
334SecondaryExam Practice: Infinite number setsdrfrostmaths.com/explorer.php?ssid=4283E334
334aSecondaryDetermine whether a number is in \mathbb{N} and/or \mathbb{Z}drfrostmaths.com/explorer.php?ssid=5560
334bSecondaryDetermine if a number is rational or irrational.drfrostmaths.com/explorer.php?ssid=5561
334cSecondaryDetermine whether a number is in \mathbb{N}, \mathbb{Z}, \mathbb{R} and/or \mathbb{Q}drfrostmaths.com/explorer.php?ssid=5562
334dSecondaryRepresent an inequality on a number line, considering only a given infinite number set.drfrostmaths.com/explorer.php?ssid=5563
334eSecondarySums and products of irrational and rational numbers. drfrostmaths.com/explorer.php?ssid=5564
335SecondaryExam Practice: Simplifying surdsdrfrostmaths.com/explorer.php?ssid=62https://www.youtube.com/embed/LDH_VS1fwYEE335
335aSecondarySimplify a surd.drfrostmaths.com/explorer.php?ssid=678https://www.youtube.com/embed/mT9t_pRky2wK673
335bSecondarySimplify a multiple of a surd.drfrostmaths.com/explorer.php?ssid=1327https://www.youtube.com/embed/31n9Vi6tI3UK674
335cSecondaryWrite a surd in the form \sqrt{a}drfrostmaths.com/explorer.php?ssid=1618https://www.youtube.com/embed/-6O7wCQjd_o
336SecondaryExam Practice: Multiplying and dividing surdsdrfrostmaths.com/explorer.php?ssid=366https://www.youtube.com/embed/XiuLvyXyRxYE336
336aSecondaryMultiply two surds or a surd and a non-surd.drfrostmaths.com/explorer.php?ssid=681https://www.youtube.com/embed/oje4wceCRrYK675
336bSecondarySquare a surd.drfrostmaths.com/explorer.php?ssid=5565
336cSecondaryMultiply multiples of surds.drfrostmaths.com/explorer.php?ssid=1985https://www.youtube.com/embed/B5OcuvQQsWY
336dSecondarySquare a multiple of a surd.drfrostmaths.com/explorer.php?ssid=1986https://www.youtube.com/embed/bW2BdKo9V_M
336eSecondaryMultiply two surds that require simplifying.drfrostmaths.com/explorer.php?ssid=682https://www.youtube.com/embed/xg2FjpqB8fgK676
336fSecondaryDivide two surds.drfrostmaths.com/explorer.php?ssid=683https://www.youtube.com/embed/CfX7K9lBx7cK677
336gSecondaryDivide two surds that require simplifying.drfrostmaths.com/explorer.php?ssid=1733https://www.youtube.com/embed/QVmWAGIpPhw
336hSecondaryMultiply or divide surds with algebra.drfrostmaths.com/explorer.php?ssid=1619https://www.youtube.com/embed/dcOwRSBNpDU
336iSecondaryGenerate a geometric sequence with a surd as common ratio. drfrostmaths.com/explorer.php?ssid=5566
337A Level, SecondaryExam Practice: Adding and subtracting surdsdrfrostmaths.com/explorer.php?ssid=61https://www.youtube.com/embed/O0Hm8oAgrPIE337
337aSecondary, A LevelAdd or subtract surds with the same root.drfrostmaths.com/explorer.php?ssid=679https://www.youtube.com/embed/zIPsPUHMsL4K678
337bSecondary, A LevelAdd or subtract surds that require simplifying.drfrostmaths.com/explorer.php?ssid=680https://www.youtube.com/embed/vlqatolhDwcK679
338SecondaryExam Practice: Expanding brackets with surdsdrfrostmaths.com/explorer.php?ssid=4284E338
338aSecondaryExpand a single bracket with surds.drfrostmaths.com/explorer.php?ssid=685https://www.youtube.com/embed/3Q9HxC3TgAEK680
338bSecondaryExpand a single bracket with surds, where simplification of surds is required.drfrostmaths.com/explorer.php?ssid=1987https://www.youtube.com/embed/JrWRh-MYsqY
338cSecondaryExpand two brackets involving surds given in the form (a+\sqrt{b})(c+\sqrt{b})drfrostmaths.com/explorer.php?ssid=867https://www.youtube.com/embed/9SpdRhVL2TMK681
338dSecondaryExpand two brackets with surds, where simplification of surds is required.drfrostmaths.com/explorer.php?ssid=869https://www.youtube.com/embed/eLPnx0ANusoK682
338eSecondaryExpand two brackets involving multiples of surds.drfrostmaths.com/explorer.php?ssid=870https://www.youtube.com/embed/tR2bBd4D7OMK683
338fSecondarySquare a bracket involving surds.drfrostmaths.com/explorer.php?ssid=871https://www.youtube.com/embed/FKdFK5DtkqgK684
338gSecondaryMultiply three brackets involving surds.drfrostmaths.com/explorer.php?ssid=1990https://www.youtube.com/embed/-LrZUmdQDWM
338hSecondaryCompare coefficients of surds and non-surds to determine values of variables.drfrostmaths.com/explorer.php?ssid=1993https://www.youtube.com/embed/VryGlnNEbIw
339SecondaryExam Practice: Pythagoras' Theorem with surdsdrfrostmaths.com/explorer.php?ssid=4285E339
339aSecondaryUse Pythagoras' theorem giving the answer in simplified surd form.drfrostmaths.com/explorer.php?ssid=5567
339bSecondaryUse Pythagoras' theorem to find the distance between two points in simplified surd form.drfrostmaths.com/explorer.php?ssid=1673https://www.youtube.com/embed/wh_hKbKYUaY
339cSecondaryUse Pythagoras' theorem with sides which are surd terms.drfrostmaths.com/explorer.php?ssid=5568
339dSecondaryUse Pythagoras' theorem with sides which are surd expressions.drfrostmaths.com/explorer.php?ssid=1999
339eSecondaryDetermine 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
339fSecondaryDetermine 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
340SecondaryExam Practice: Solving linear inequalities in one variabledrfrostmaths.com/explorer.php?ssid=85https://www.youtube.com/embed/h20HXgEgUq0E340
340aSecondarySolve a linear inequality in one variable with one step.drfrostmaths.com/explorer.php?ssid=1605https://www.youtube.com/embed/vAlrKVT3dYM
340bSecondarySolve a linear inequality in one variable with two steps.drfrostmaths.com/explorer.php?ssid=1122https://www.youtube.com/embed/WT8sdeti_wIK343
340cSecondarySolve a linear inequality in one variable involving fractions.drfrostmaths.com/explorer.php?ssid=5571
340dSecondarySolve a linear inequality in one variable where the coefficient of x is negative.drfrostmaths.com/explorer.php?ssid=1468K344
340eSecondaryDetermine the greatest or least integer which satisfies a linear inequality in one variable.drfrostmaths.com/explorer.php?ssid=5572
340fSecondarySolve and represent the solution of a one-ended linear inequality in one variable on a number line.drfrostmaths.com/explorer.php?ssid=5573
340gSecondarySolve 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
341SecondaryExam Practice: Solving linear inequalities with one variable on both sidesdrfrostmaths.com/explorer.php?ssid=4286E341
341aSecondarySolve a linear inequality with the unknown on both sides.drfrostmaths.com/explorer.php?ssid=1247https://www.youtube.com/embed/UWl8oZvuF7gK345
341bSecondarySolve a linear inequality with brackets and the unknown on both sides.drfrostmaths.com/explorer.php?ssid=1802
342SecondaryExam Practice: Solving two-ended linear inequalitiesdrfrostmaths.com/explorer.php?ssid=4287E342
342aSecondarySolve a two-ended linear inequality in one variable with a single step.drfrostmaths.com/explorer.php?ssid=1245https://www.youtube.com/embed/WL8lKEb_WiYK346
342bSecondarySolve a two-ended linear inequality in one variable with two steps.drfrostmaths.com/explorer.php?ssid=1246https://www.youtube.com/embed/y_RVu9_ExLEK347
342cSecondarySolve a two-ended linear inequality in one variable involving fractions.drfrostmaths.com/explorer.php?ssid=5575
342dSecondarySolve a two-ended linear inequality in one variable and list the integer values which satisfy it.drfrostmaths.com/explorer.php?ssid=5576
342eSecondarySolve a two-ended linear inequality in one variable which requires splitting.drfrostmaths.com/explorer.php?ssid=5577
342fSecondarySolve and represent the solution of a two-ended linear inequality in one variable on a number line.drfrostmaths.com/explorer.php?ssid=5578
342gSecondarySolve a pair of linear inequalities in one variable and state the integer values that satisfy both.drfrostmaths.com/explorer.php?ssid=5579
343SecondaryExam Practice: Forming and solving linear inequalities from a given contextdrfrostmaths.com/explorer.php?ssid=4288E343
343aSecondaryForm and solve a one-ended linear inequality in one variable.drfrostmaths.com/explorer.php?ssid=5580
343bSecondaryConsider possible solutions to a one-ended linear inequality from two variables, given information about one or both variables. drfrostmaths.com/explorer.php?ssid=5581
343cSecondaryForm and solve a two-ended linear inequality in one variable.drfrostmaths.com/explorer.php?ssid=5582
344SecondaryExam Practice: Inequalities for expressions given a restricted domain on the variablesdrfrostmaths.com/explorer.php?ssid=4289E344
344aSecondaryDetermine the set of values satisfying a linear inequality of a variable, given a restricted domain.drfrostmaths.com/explorer.php?ssid=5583
344bSecondaryDetermine the set of values satisfying a linear inequality of a function of a variable, given a restricted domain.drfrostmaths.com/explorer.php?ssid=5584
344cSecondaryDetermine the set of values satisfying a linear inequality involving two unknowns and two restricted domains.drfrostmaths.com/explorer.php?ssid=5585
344dSecondaryDetermine the set of values satisfying a linear inequality involving a function of two unknowns and two restricted domains.drfrostmaths.com/explorer.php?ssid=5586
345SecondaryExam Practice: Types of datadrfrostmaths.com/explorer.php?ssid=4290E345
345aSecondaryClassify data as qualitative or quantitative.drfrostmaths.com/explorer.php?ssid=5587
345bSecondaryClassify quantitative data as discrete or continuous. drfrostmaths.com/explorer.php?ssid=2214
345cSecondaryClassify data as categorical, ordinal, bivariate or multivariate. drfrostmaths.com/explorer.php?ssid=5588
345dSecondaryClassify data as primary or secondary.drfrostmaths.com/explorer.php?ssid=5589
345eSecondaryUnderstand the advantages and disadvantages of using primary and secondary data. drfrostmaths.com/explorer.php?ssid=5590
346Secondary, A LevelExam Practice: Populations and censuses versus samplingdrfrostmaths.com/explorer.php?ssid=4291E346
346aA Level, SecondaryUnderstand the difference between a census and a sample.drfrostmaths.com/explorer.php?ssid=5591
346bA Level, SecondaryIdentify the population and sampling frame. drfrostmaths.com/explorer.php?ssid=5592
347SecondaryExam Practice: Data collection methods (excluding experiments)drfrostmaths.com/explorer.php?ssid=333E347
347aSecondaryIdentify a described data collection method.drfrostmaths.com/explorer.php?ssid=5593
347bSecondaryCreate or critique a data collection sheet.drfrostmaths.com/explorer.php?ssid=5594
347cSecondaryUnderstand question types that are used in questionnaires and when they are appropriate.drfrostmaths.com/explorer.php?ssid=5595
347dSecondaryCritique questionnaire questions. drfrostmaths.com/explorer.php?ssid=2215
347eSecondaryWrite a suitable questionnaire question. drfrostmaths.com/explorer.php?ssid=2216
347fSecondaryKnow the advantages and disadvantages of using interviews or anonymous questionnaires. drfrostmaths.com/explorer.php?ssid=5596
347gSecondaryUnderstand the need for a pilot study or survey. drfrostmaths.com/explorer.php?ssid=5597
348SecondaryExam Practice: Statistical experimentsdrfrostmaths.com/explorer.php?ssid=4292E348
348aSecondaryIdentify the explanatory and response variable in an investigation.drfrostmaths.com/explorer.php?ssid=5598
348bSecondaryIdentify the type of experiment conducted from a description.drfrostmaths.com/explorer.php?ssid=5599
348cSecondaryUnderstand the advantages and disadvantages of different types of experiment.drfrostmaths.com/explorer.php?ssid=5600
348dSecondaryUnderstand the importance of identifying and controlling extraneous variables.drfrostmaths.com/explorer.php?ssid=5601
348eSecondaryUse control groups and matched pairs. drfrostmaths.com/explorer.php?ssid=5602
348fSecondaryUnderstand the importance of blind and double blind trials.drfrostmaths.com/explorer.php?ssid=5603
348gSecondaryUse completely random and randomised block designs.drfrostmaths.com/explorer.php?ssid=8262
349Secondary, A LevelExam Practice: Simple random samplingdrfrostmaths.com/explorer.php?ssid=4293E349
349aSecondary, A LevelDefine random and biased samples. drfrostmaths.com/explorer.php?ssid=5604
349bSecondary, A LevelDescribe how to take a random sample.drfrostmaths.com/explorer.php?ssid=5605
349cSecondary, A LevelComplete a random sample of the sampling frame using a random number table or random number generator. drfrostmaths.com/explorer.php?ssid=5606
350SecondaryExam Practice: Non-random samplingdrfrostmaths.com/explorer.php?ssid=4294E350
350aSecondaryIdentify a described non-random sampling method.drfrostmaths.com/explorer.php?ssid=5607
350bSecondaryUnderstand the advantages and disadvantages of non-random sampling methods.drfrostmaths.com/explorer.php?ssid=5608
350cSecondaryDiscuss the suitability of a given sampling method. drfrostmaths.com/explorer.php?ssid=5609
351A Level, SecondaryExam Practice: Stratified samplingdrfrostmaths.com/explorer.php?ssid=334E351
351aA Level, SecondaryTake a stratified sample by one category.drfrostmaths.com/explorer.php?ssid=1137https://www.youtube.com/embed/cxlNHItH5UIK271
351bSecondary, A LevelTake a stratified sample by more than one category.drfrostmaths.com/explorer.php?ssid=5610
351cSecondary, A LevelUnderstand when taking a stratified sample is appropriate.drfrostmaths.com/explorer.php?ssid=5611
352SecondaryExam Practice: Capture-Recapturedrfrostmaths.com/explorer.php?ssid=4295E352
352aSecondaryUse the capture-recapture method to estimate the size of a population.drfrostmaths.com/explorer.php?ssid=1309https://www.youtube.com/embed/BlanMLOCazQK272
352bSecondaryUnderstand the assumptions made in the Petersen capture-recapture method.drfrostmaths.com/explorer.php?ssid=5612
353SecondaryExam Practice: Planning a statistical enquirydrfrostmaths.com/explorer.php?ssid=4296E353
353aSecondaryWrite a hypothesis for an investigation.drfrostmaths.com/explorer.php?ssid=5613
353bSecondaryDescribe the data needed to investigate a hypothesis.drfrostmaths.com/explorer.php?ssid=5614
353cSecondaryUnderstand constraints on designing an investigation.drfrostmaths.com/explorer.php?ssid=5615
353dSecondaryUnderstand the difference between raw and processed data.drfrostmaths.com/explorer.php?ssid=5616
353eSecondaryJustify the size of data groups when grouping data.drfrostmaths.com/explorer.php?ssid=5617
353fSecondaryKnow how to deal with problems in the data including data cleaning. drfrostmaths.com/explorer.php?ssid=5618
353gSecondarySuggest suitable data summaries or representations to be used in an investigation.drfrostmaths.com/explorer.php?ssid=5619
353hSecondaryEvaluate a plan for a statistical enquiry.drfrostmaths.com/explorer.php?ssid=5620
354Secondary, A LevelExam Practice: Probability of independent and successive independent events (including tree diagrams)drfrostmaths.com/explorer.php?ssid=347https://www.youtube.com/embed/yJva4ph-KEEE354
354Exam Practice: Knowledge of the Edexcel large data set.drfrostmaths.com/explorer.php?ssid=439E354
354aSecondary, A LevelDraw a tree diagram to represent successive independent events.drfrostmaths.com/explorer.php?ssid=861https://www.youtube.com/embed/aqZwLt7iUBYK562
354bSecondary, A LevelDeal with a single chain of outcomes involving successive independent events, using a tree diagram.drfrostmaths.com/explorer.php?ssid=863https://www.youtube.com/embed/KIDSG4W6IFIK563
354cA Level, SecondaryDeal with a single chain of outcomes involving successive independent events, without using a tree diagram.drfrostmaths.com/explorer.php?ssid=5621
354dSecondary, A LevelDeal with multiple different chains of outcomes involving successive independent events, using a tree diagram.drfrostmaths.com/explorer.php?ssid=864https://www.youtube.com/embed/MT2nJf01-YMK564
354eSecondary, A LevelDeal with multiple different chains of outcomes involving successive independent events, without using a tree diagram.drfrostmaths.com/explorer.php?ssid=5622
354fSecondary, A LevelDetermine the probability of achieving a given sum from multiple values, with item replacement.drfrostmaths.com/explorer.php?ssid=5623
354gSecondary, A LevelDetermine the probability of a first success occurring after a certain number of trials.drfrostmaths.com/explorer.php?ssid=5624
354hSecondary, A LevelDetermine the probability of a chain of outcomes given the probability of another chain of outcomes.drfrostmaths.com/explorer.php?ssid=5625
354iA Level, SecondaryDetermine the probability of at least one occurrence of an event given a larger number of trials.drfrostmaths.com/explorer.php?ssid=5626
354jSecondary, A LevelDetermine the probability of succeeding within a fixed number of trials.drfrostmaths.com/explorer.php?ssid=5627
354kSecondary, A LevelDetermine the probability of reaching a point via a random route on a grid.drfrostmaths.com/explorer.php?ssid=5628
355A Level, SecondaryExam Practice: Successive dependent events, i.e. sampling without replacement (including tree diagrams)drfrostmaths.com/explorer.php?ssid=349https://www.youtube.com/embed/UMKClPTcOzoE355
355aA Level, SecondaryDraw a tree diagram to represent successive dependent events.drfrostmaths.com/explorer.php?ssid=862https://www.youtube.com/embed/D50XkefUMFsK565
355bSecondary, A LevelDeal with a single chain of outcomes involving successive dependent events.drfrostmaths.com/explorer.php?ssid=865https://www.youtube.com/embed/u8lbulZL7LsK566
355cA Level, SecondaryDeal with multiple different chains of outcomes involving successive dependent events.drfrostmaths.com/explorer.php?ssid=866https://www.youtube.com/embed/0tr0NuPj39EK567
355dSecondary, A LevelDeal with three or more chains of outcomes involving successive dependent events.drfrostmaths.com/explorer.php?ssid=5629
355eSecondary, A LevelDetermine the probability of achieving a given sum from multiple values, without item replacement.drfrostmaths.com/explorer.php?ssid=5630
355fA Level, SecondaryDetermine the probability of successive events by grouping outcomes (e.g. into odd and even).drfrostmaths.com/explorer.php?ssid=1687https://www.youtube.com/embed/quUtSdw-em8
356Secondary, A LevelExam Practice: Probabilities from Venn diagrams (no set notation)drfrostmaths.com/explorer.php?ssid=303E356
356aA Level, SecondaryCalculate probabilities of mutually exclusive events from given probabilities.drfrostmaths.com/explorer.php?ssid=1233K845
356bSecondary, A LevelCalculate probabilities using a Venn diagram with two non-mutually exclusive sets.drfrostmaths.com/explorer.php?ssid=1538K734
356cSecondary, A LevelCalculate probabilities using a Venn diagram with three non-mutually exclusive sets.drfrostmaths.com/explorer.php?ssid=1539K735
356dA Level, SecondaryCalculate probabilities by drawing a Venn diagram with two non-mutually exclusive sets.drfrostmaths.com/explorer.php?ssid=1342https://www.youtube.com/embed/-88kdSHqXQUK568
356eSecondary, A LevelCalculate probabilities by drawing a Venn diagram with three non-mutually exclusive sets.drfrostmaths.com/explorer.php?ssid=1344K569
356fA Level, SecondaryDetermine a probability where the selection is made from a subgroup of a Venn diagram. drfrostmaths.com/explorer.php?ssid=5631
357A Level, SecondaryExam Practice: Probabilities from Venn diagrams using set notationdrfrostmaths.com/explorer.php?ssid=4297E357
357aA Level, SecondaryUse set notation to calculate probabilities of mutually exclusive events from a Venn diagram filled with frequencies.drfrostmaths.com/explorer.php?ssid=5632
357bSecondary, A LevelUse set notation to calculate probabilities of non-mutually exclusive events from a Venn diagram filled with frequencies.drfrostmaths.com/explorer.php?ssid=1134https://www.youtube.com/embed/7zaJTqVeDO4K468
357cA Level, SecondaryUse set notation to calculate probabilities of non-mutually exclusive events from a Venn filled with elements.drfrostmaths.com/explorer.php?ssid=1632
358Secondary, A LevelExam Practice: Conditional probability (no set notation)drfrostmaths.com/explorer.php?ssid=304E358
358aSecondary, A LevelDetermine a conditional probability from a two-way table.drfrostmaths.com/explorer.php?ssid=5633
358bSecondary, A LevelDetermine a conditional probability from a frequency tree.drfrostmaths.com/explorer.php?ssid=5634
358cSecondary, A LevelDetermine a conditional probability from a probability tree.drfrostmaths.com/explorer.php?ssid=5635
358dA Level, SecondaryDetermine a conditional probability from a Venn diagram filled with frequencies.drfrostmaths.com/explorer.php?ssid=5636
358eSecondary, A LevelDetermine a conditional probability from a Venn diagram filled with elements. drfrostmaths.com/explorer.php?ssid=5637
359A Level, SecondaryExam Practice: Expressing a power using a different basedrfrostmaths.com/explorer.php?ssid=59https://www.youtube.com/embed/84dobFhaHJcE359
359aA Level, SecondaryExpress a power using a different base.drfrostmaths.com/explorer.php?ssid=1726
359bA Level, SecondaryUse change of base to form a linear formula.drfrostmaths.com/explorer.php?ssid=1188https://www.youtube.com/embed/oENEM7aB_FEK767
359cA Level, SecondaryWrite the product of powers in the form a^b by changing the base.drfrostmaths.com/explorer.php?ssid=1522K721
359dA Level, SecondaryDELETED DECOMMISIONED - Determine an unknown power e.g. 2^y = \frac{1}{8}.drfrostmaths.com/explorer.php?ssid=823https://www.youtube.com/embed/_1RvkjNb5VMK438
359dSecondary, A LevelSolve equations involving powers of the same base, leading to a linear equation.drfrostmaths.com/explorer.php?ssid=1511K713
359eSecondary, A LevelDeal with equations involving powers of the same base to change the subject of the formula.drfrostmaths.com/explorer.php?ssid=5638
360SecondaryExam Practice: Calculating values after compound percentage changesdrfrostmaths.com/explorer.php?ssid=54https://www.youtube.com/embed/ldGnUUnEnAAE360
360aSecondaryUnderstand the difference between simple and compound interest. drfrostmaths.com/explorer.php?ssid=5639
360bSecondaryCalculate a value after a compound percentage increase.drfrostmaths.com/explorer.php?ssid=884https://www.youtube.com/embed/tIlKzp8LwdQK427
360cSecondaryCalculate a value after a compound percentage decrease.drfrostmaths.com/explorer.php?ssid=885https://www.youtube.com/embed/mY5ND_KZviYK428
360dSecondaryCalculate a value after several compound percentage changes.drfrostmaths.com/explorer.php?ssid=1773
360eSecondaryDetermine a percentage change to subsequently determine further compound changes.drfrostmaths.com/explorer.php?ssid=5640
360fSecondaryCompare the performance of different bank accounts.drfrostmaths.com/explorer.php?ssid=5641
360gSecondaryCalculate a percentage simple interest equivalent to a compound interest rate.drfrostmaths.com/explorer.php?ssid=5642
360hSecondaryCalculate the percentage interest in one year given a compound change in the others.drfrostmaths.com/explorer.php?ssid=5643
361SecondaryExam Practice: Financial maths (excluding compound interest)drfrostmaths.com/explorer.php?ssid=4298E361
361aSecondaryComplete a bank statement.drfrostmaths.com/explorer.php?ssid=1537K733
361bSecondarySolve problems involving wages and a salaries, including commission.drfrostmaths.com/explorer.php?ssid=5644
361cSecondarySolve problems involving budgeting.drfrostmaths.com/explorer.php?ssid=5645
361dSecondaryCalculate profit margin and mark up. drfrostmaths.com/explorer.php?ssid=5646
361eSecondarySolve problems involving VAT.drfrostmaths.com/explorer.php?ssid=5647
361fSecondarySolve problems with an upfront fee and regular payments thereafter. drfrostmaths.com/explorer.php?ssid=5648
361gSecondaryComplete calculation of income tax, including different tax bands. drfrostmaths.com/explorer.php?ssid=5649
361hSecondaryCalculate net pay after tax and other deductions.drfrostmaths.com/explorer.php?ssid=5650
361iSecondaryDetermine 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
361jSecondaryComplete calculations involving student loans interest and repayments.drfrostmaths.com/explorer.php?ssid=5652
361kSecondaryComplete calculations involving mortgages.drfrostmaths.com/explorer.php?ssid=5653
361lSecondaryInterpret a demand curve showing the relationship between price and demand. drfrostmaths.com/explorer.php?ssid=5654
362SecondaryExam Practice: Compound percentage problems with unknown period or step percentage changedrfrostmaths.com/explorer.php?ssid=510https://www.youtube.com/embed/ldGnUUnEnAAE362
362aSecondaryDetermine the number of years before a value increases to a given value given some known compound percentage increase.drfrostmaths.com/explorer.php?ssid=887https://www.youtube.com/embed/4dicXO70m5YK429
362bSecondaryDetermine the number of years before a value increases to some multiple given some known compound percentage increase.drfrostmaths.com/explorer.php?ssid=886https://www.youtube.com/embed/kYXvKSB7_5sK430
362cSecondaryDetermine the value before a compound percentage change.drfrostmaths.com/explorer.php?ssid=1648
362dSecondaryDetermine the value of the percentage during a compound percentage change.drfrostmaths.com/explorer.php?ssid=1649
362eSecondaryDetermine each percentage change given a compound change and the start and end amounts.drfrostmaths.com/explorer.php?ssid=1449K431
363SecondaryExam Practice: Factorising quadratic expressions given in the form x^2 + bx + cdrfrostmaths.com/explorer.php?ssid=72https://www.youtube.com/embed/5p79yczPWQcE363
363aSecondaryFactorise quadratic expressions given in the form x^2 +bx + cdrfrostmaths.com/explorer.php?ssid=684https://www.youtube.com/embed/hUXIuTZOA_AK381
363bSecondaryFactorise quadratic expressions given in the form x^2 - bx + cdrfrostmaths.com/explorer.php?ssid=687https://www.youtube.com/embed/KWeNyNrsqnkK382
363cSecondaryFactorise quadratic expressions given in the form x^2 +bx - cdrfrostmaths.com/explorer.php?ssid=688https://www.youtube.com/embed/KREQdp3H0gIK383
363dSecondaryFactorise quadratic expressions given in the form x^2 - bx - cdrfrostmaths.com/explorer.php?ssid=690https://www.youtube.com/embed/GS4HHkTOl8kK384
363eSecondaryProve that two expressions are equivalent (involving quadratic factorisation).drfrostmaths.com/explorer.php?ssid=5655
364SecondaryExam Practice: Factorising the difference of two squaresdrfrostmaths.com/explorer.php?ssid=74https://www.youtube.com/embed/S3JXkf5X97YE364
364aSecondaryFactorise the difference of two squares given in the form x^2 - a^2 or a^2 - x^2drfrostmaths.com/explorer.php?ssid=691https://www.youtube.com/embed/kn-pFoJCOMsK385
364bSecondaryFactorise the difference of two squares given in the form kx^2-a^2, where k is a square number.drfrostmaths.com/explorer.php?ssid=1059https://www.youtube.com/embed/07rQrhjWOOsK764
364cSecondaryFactorise 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
364dSecondaryFactorise 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=1428https://www.youtube.com/embed/TxmA8VJY0EQK386
364eSecondaryFactorise 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
364fSecondaryFactorise 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
364gSecondaryFactorise the difference of two squares to evaluate a numerical calculation.drfrostmaths.com/explorer.php?ssid=1713https://www.youtube.com/embed/Oom4r1hzZ6Q
365SecondaryExam Practice: Factorising a quadratic where the coefficient of the x^2 term is not 1drfrostmaths.com/explorer.php?ssid=73https://www.youtube.com/embed/cbbEFYpeWV8E365
365aSecondaryFactorise quadratic expressions given in the form ax^2 +bx+cdrfrostmaths.com/explorer.php?ssid=738https://www.youtube.com/embed/eB6J9k-_4DcK387
365bSecondaryFactorise quadratic expressions given in the form ax^2-bx+cdrfrostmaths.com/explorer.php?ssid=1637https://www.youtube.com/embed/dQ67DuZyaGs
365cSecondaryFactorise quadratic expressions given in the form ax^2 + bx - cdrfrostmaths.com/explorer.php?ssid=2197
365dSecondaryFactorise quadratic expressions given in the form ax^2 -bx - cdrfrostmaths.com/explorer.php?ssid=1638https://www.youtube.com/embed/7re9jKGsnG4
365eSecondaryFactorise 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
365fSecondaryFactorise quadratic expressions requiring rearrangement to the form ax^2 \pm bx \pm cdrfrostmaths.com/explorer.php?ssid=2374
365gSecondaryFactorise quadratic expressions given in the form -x^2 \pm bx \pm cdrfrostmaths.com/explorer.php?ssid=8295
365hSecondaryFactorise quadratic expressions given in the form ax^2 \pm bx \pm c with a < -1drfrostmaths.com/explorer.php?ssid=8296
366SecondaryExam Practice: Factorising more difficult expressions by combining factorisation techniques or substitution of a variabledrfrostmaths.com/explorer.php?ssid=75E366
366aSecondaryUse pairwise factorisation to write an expression as the product of two brackets.drfrostmaths.com/explorer.php?ssid=1628
366bSecondaryDELETED Fully factorise a quadratic of the form ax^2+bx+c requiring to take out a common factor first.drfrostmaths.com/explorer.php?ssid=1060K765
366bSecondaryFactorise quadratic expressions given in the form ax^2 \pm bxy \pm cy^2drfrostmaths.com/explorer.php?ssid=2068https://www.youtube.com/embed/VurHv4v0_80
366cSecondaryFactorise expressions including some factorised and expanded parts where factorisation can be used to find a common bracketed factor.drfrostmaths.com/explorer.php?ssid=5656
366dSecondaryFactorise and simplify a difference of two squared binomials.drfrostmaths.com/explorer.php?ssid=5657
366eSecondaryFactorise a cubic expression by first taking out a common factor.drfrostmaths.com/explorer.php?ssid=5658
366fSecondaryFactorise a cubic expression by equating coefficients when given one factor.drfrostmaths.com/explorer.php?ssid=8297
366gSecondaryFactorise a quartic expression using the difference of two squares.drfrostmaths.com/explorer.php?ssid=5659
366hSecondaryFactorise an expression using the substitution of a linear term to reduce to quadratic form.drfrostmaths.com/explorer.php?ssid=1521https://www.youtube.com/embed/aKP-foQjYloK720
366iSecondaryFactorise an expression using the substitution of a higher power to reduce to quadratic form.drfrostmaths.com/explorer.php?ssid=5660
367SecondaryExam Practice: Plotting quadratic graphs from a table of valuesdrfrostmaths.com/explorer.php?ssid=96https://www.youtube.com/embed/ciRxmAHvYH0E367
367Exam Practice: Forces on connected particles in equilibrium, not on an inclined plane, no F = μR.drfrostmaths.com/explorer.php?ssid=525E367
367aSecondaryDetermine whether a point lies on a curve given a quadratic equation.drfrostmaths.com/explorer.php?ssid=8324
367bSecondaryComplete a table of values for a quadratic graph with x^2 coefficient of 1.drfrostmaths.com/explorer.php?ssid=1034https://www.youtube.com/embed/hS4VxPH9unEK414
367cSecondaryComplete a table of values for a quadratic graph with positive integer coefficient of x^2drfrostmaths.com/explorer.php?ssid=5661
367dSecondaryComplete a table of values for a quadratic graph with negative integer coefficient of x^2drfrostmaths.com/explorer.php?ssid=5662
367eSecondaryComplete a table of values for a quadratic graph with fractional coefficient of x^2drfrostmaths.com/explorer.php?ssid=5663
367fSecondaryPlot a quadratic graph using a completed table of values.drfrostmaths.com/explorer.php?ssid=5664
367gSecondaryComplete a table of values and plot the corresponding quadratic graph.drfrostmaths.com/explorer.php?ssid=1035https://www.youtube.com/embed/GfUwv6wPkMYK415
368SecondaryExam Practice: Solving quadratic equations by factorisationdrfrostmaths.com/explorer.php?ssid=16https://www.youtube.com/embed/Idk4R_baULAE368
368aSecondarySolve quadratic equations given in the form (ax+b)(cx+d) = 0drfrostmaths.com/explorer.php?ssid=1642
368bSecondarySolve quadratic equations given in the form x^2 \pm bx \pm c = 0, solvable by factorisation.drfrostmaths.com/explorer.php?ssid=769https://www.youtube.com/embed/dufVWiyZkN0K615
368cSecondarySolve quadratic equations given in the form x^2 \pm bx \pm c = 0, requiring rearrangement and factorising.drfrostmaths.com/explorer.php?ssid=771K616
368dSecondarySolve quadratic equations given in the form ax^2 \pm bx \pm c = 0, requiring factorising.drfrostmaths.com/explorer.php?ssid=868K617
368eSecondarySolve quadratic equations given in the form ax^2 \pm bx \pm c = 0, requiring rearrangement and factorising.drfrostmaths.com/explorer.php?ssid=774https://www.youtube.com/embed/VLOv7xVTUiMK618
368fSecondarySolve a quadratic equation of the form x^2-a^2=0 or x^2=a^2 by factorisation.drfrostmaths.com/explorer.php?ssid=8317
368gSecondaryDetermine the original quadratic equation given its integer solutions.drfrostmaths.com/explorer.php?ssid=5665
368hSecondaryDetermine the original quadratic equation given its non-integer solutions.drfrostmaths.com/explorer.php?ssid=5666
369SecondaryExam Practice: Quadratic graphs and their featuresdrfrostmaths.com/explorer.php?ssid=105https://www.youtube.com/embed/6KgAsvNSc4EE369
369aSecondaryDetermine the y-intercept of a quadratic graph with equation given in the form y=x^2+bx+cdrfrostmaths.com/explorer.php?ssid=1140https://www.youtube.com/embed/1J4ERQ_eyvgK421
369bSecondaryDetermine the x-intercepts of a quadratic graph with equation given in the form y=x^2+bx+cdrfrostmaths.com/explorer.php?ssid=1141https://www.youtube.com/embed/sJWupCI0EwwK422
369cSecondaryDetermine the y-intercept of a quadratic graph with equation given in the form y=(x+a)(x+b)drfrostmaths.com/explorer.php?ssid=5667
369dSecondaryDetermine the x-intercepts of a quadratic graph with equation given in the form y=(x+a)(x+b)drfrostmaths.com/explorer.php?ssid=5668
369eSecondaryDetermine the x- and y-intercepts of a quadratic graph with equation given in the form y=ax^2+bx+cdrfrostmaths.com/explorer.php?ssid=1142https://www.youtube.com/embed/2_EeanA80BUK423
369fSecondaryDetermine 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
369gSecondarySketch a quadratic graph given in the form y=(x+a)(x+b), including its intercepts only.drfrostmaths.com/explorer.php?ssid=1772
369hSecondarySketch a quadratic graph given in the form y=(ax+b)(cx+d), including its intercepts only.drfrostmaths.com/explorer.php?ssid=5670
369iSecondarySketch an unfactorised quadratic graph, with coefficient of x^2 equal to one, including its intercepts only.drfrostmaths.com/explorer.php?ssid=1770
369jSecondarySketch an unfactorised quadratic graph, with positive integer coefficient of x^2 other than one, including its intercepts only.drfrostmaths.com/explorer.php?ssid=5671
369kSecondarySketch quadratic graphs with a negative x^2 coefficient from factorised form, including its intercepts only.drfrostmaths.com/explorer.php?ssid=5672
369lSecondarySketch an unfactorised quadratic graph, with negative integer coefficient of x^2 other than one, including its intercepts only.drfrostmaths.com/explorer.php?ssid=5673
369mSecondarySketch 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
369nSecondaryIdentify a sketch of a quadratic graph given its equation. drfrostmaths.com/explorer.php?ssid=5675
369oSecondaryDetermine the line of symmetry of a quadratic graph.drfrostmaths.com/explorer.php?ssid=1418https://www.youtube.com/embed/WCjWYMfQNmQK584
369pSecondaryDetermine the coordinate of the turning point of a quadratic using symmetry and a sketch of the graph. drfrostmaths.com/explorer.php?ssid=5676
369qSecondaryDetermine the equation of a quadratic function from its graph.drfrostmaths.com/explorer.php?ssid=950K769
369rSecondaryDetermine an unknown constant in a quadratic function given a point on the curve and a sketch.drfrostmaths.com/explorer.php?ssid=5677
370SecondaryExam Practice: nth term formula for a quadratic sequencedrfrostmaths.com/explorer.php?ssid=79https://www.youtube.com/embed/vpnSZtct26sE370
370aSecondaryDetermine the nth term formula of a quadratic sequence by comparison to n^2drfrostmaths.com/explorer.php?ssid=2117
370bSecondaryDetermine the nth term formula of a quadratic sequence in the form n^2+cdrfrostmaths.com/explorer.php?ssid=2123
370cSecondaryDetermine the nth term formula of a quadratic sequence in the form n^2 +bn for positive bdrfrostmaths.com/explorer.php?ssid=2124
370dSecondaryDetermine the nth term formula of a quadratic sequence in the form n^2 +bn for negative bdrfrostmaths.com/explorer.php?ssid=2133
370eSecondaryDetermine the nth term formula of a quadratic sequence in the form n^2+bn+cdrfrostmaths.com/explorer.php?ssid=2136
370fSecondaryDetermine the nth term formula of a quadratic sequence in the form an^2+cdrfrostmaths.com/explorer.php?ssid=1670
370gSecondaryDetermine the nth term formula of a quadratic sequence in the form an^2 +bndrfrostmaths.com/explorer.php?ssid=1678
370hSecondaryDetermine the nth term formula of a quadratic sequence in the form an^2+bn+cdrfrostmaths.com/explorer.php?ssid=751https://www.youtube.com/embed/5Er_L4H1GSEK406
370iSecondaryDetermine the nth term formula of a quadratic sequence in the form an^2+bn+c where a is negativedrfrostmaths.com/explorer.php?ssid=2113
370jSecondaryDetermine the coefficients of a quadratic nth term rule given information about the terms in the sequence.drfrostmaths.com/explorer.php?ssid=2114
370kSecondaryDetermine the position of a term in a quadratic sequence.drfrostmaths.com/explorer.php?ssid=2116
370lSecondaryUse an existing formula for a quadratic sequence to determine the formula for a similar sequence.drfrostmaths.com/explorer.php?ssid=2144
370mSecondaryDELETED 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
371SecondaryExam Practice: nth term formula for a geometric sequencedrfrostmaths.com/explorer.php?ssid=80E371
371aSecondaryDetermine 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=752https://www.youtube.com/embed/8idda0ZuU0wK407
371bSecondaryDetermine 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
371cSecondaryDetermine the nth term for a geometric sequence where first term and common ratio are equal, positive integers.drfrostmaths.com/explorer.php?ssid=5679
371dSecondaryDetermine the nth term for a geometric sequence with a negative integer common ratio.drfrostmaths.com/explorer.php?ssid=5680
371eSecondaryDetermine the nth term for a geometric sequence with a decimal or fractional common ratio.drfrostmaths.com/explorer.php?ssid=5681
371fSecondaryDetermine the nth term of a geometric sequence where the common ratio is irrational.drfrostmaths.com/explorer.php?ssid=5682
371gSecondaryDetermine the common ratio of a geometric sequence where the terms are expressed algebraically.drfrostmaths.com/explorer.php?ssid=5683
372SecondaryExam Practice: nth term formula more complicated sequencesdrfrostmaths.com/explorer.php?ssid=4299E372
372aSecondaryDetermine the nth term formula of a sequence, where the numerator and denominator are linear sequences to be found.drfrostmaths.com/explorer.php?ssid=5684
372bSecondaryDetermine the nth term formula of a sequence, where at least one of the numerator or denominator is quadratic.drfrostmaths.com/explorer.php?ssid=5685
372cSecondaryDetermine the nth term formula of a sequence where at least one of the numerator or denominator is geometric.drfrostmaths.com/explorer.php?ssid=5686
372dSecondaryDetermine the nth term formula for a cubic sequence.drfrostmaths.com/explorer.php?ssid=5687
373SecondaryExam Practice: Column vector notationdrfrostmaths.com/explorer.php?ssid=4300E373
373aSecondaryIdentify the vector associated with a movement.drfrostmaths.com/explorer.php?ssid=5688
373bSecondaryIdentify the column vector from a given diagram.drfrostmaths.com/explorer.php?ssid=5689
373cSecondaryDraw a vector from a given column vector.drfrostmaths.com/explorer.php?ssid=5690
374SecondaryExam Practice: Adding, subtracting and scaling column vectorsdrfrostmaths.com/explorer.php?ssid=157https://www.youtube.com/embed/mt_RdPIbLlwE374
374aSecondaryMultiply a column vector by a positive scalar.drfrostmaths.com/explorer.php?ssid=5691
374bSecondaryDraw a positive scalar multiple of a vector.drfrostmaths.com/explorer.php?ssid=5692
374cSecondaryMultiply a column vector by a negative scalar.drfrostmaths.com/explorer.php?ssid=5693
374dSecondaryDraw a negative scalar multiple of a vector.drfrostmaths.com/explorer.php?ssid=5694
374eSecondaryAdd or subtract two vectors written in column vector form.drfrostmaths.com/explorer.php?ssid=1056https://www.youtube.com/embed/CjtvHA2CgdwK649
374fSecondaryDraw the addition or subtraction of two column vectors.drfrostmaths.com/explorer.php?ssid=5695
374gSecondaryAdd or subtract scalar multiples of vectors.drfrostmaths.com/explorer.php?ssid=1058https://www.youtube.com/embed/wtAXHkNCNygK651
374hSecondarySolve equations formed in vector notation.drfrostmaths.com/explorer.php?ssid=5696
374iSecondarySolve linear simultaneous equations/systems of equations formed with vector notation.drfrostmaths.com/explorer.php?ssid=5697
375SecondaryExam Practice: Translations of shapes by a vectordrfrostmaths.com/explorer.php?ssid=8https://www.youtube.com/embed/EUdGPC3SJf4E375
375aSecondaryTranslate a shape horizontally or vertically using a vector.drfrostmaths.com/explorer.php?ssid=5698
375bSecondaryTranslate a shape by a vector involving positive values.drfrostmaths.com/explorer.php?ssid=5699
375cSecondaryTranslate a shape by any vector.drfrostmaths.com/explorer.php?ssid=801https://www.youtube.com/embed/ZdJgVCH_WJcK280
376SecondaryExam Practice: Describing translations using vector notationdrfrostmaths.com/explorer.php?ssid=9https://www.youtube.com/embed/tgxpTTotBz0E376
376aSecondaryDescribe a translation in a horizontal or vertical direction using vector notation.drfrostmaths.com/explorer.php?ssid=2173
376bSecondaryDescribe a translation using vector notation with positive numbers only.drfrostmaths.com/explorer.php?ssid=2174
376cSecondaryDescribe any translation using vector notation.drfrostmaths.com/explorer.php?ssid=849https://www.youtube.com/embed/BWWcg_IOG5EK281
377SecondaryExam Practice: Enlargement/dilation of shapes by a negative scale factordrfrostmaths.com/explorer.php?ssid=4301E377
377aSecondaryEnlarge/dilate a shape by a negative scale factor.drfrostmaths.com/explorer.php?ssid=804https://www.youtube.com/embed/K45RrS0NvTMK493
377bSecondaryEnlarge/dilate a shape by a negative and fractional scale factor.drfrostmaths.com/explorer.php?ssid=1427https://www.youtube.com/embed/EPeLMNMX590K497
378Exam Practice: Increasing, decreasing and periodic sequences.drfrostmaths.com/explorer.php?ssid=201E378
378SecondaryExam Practice: Describing enlargements/dilations for a negative scale factordrfrostmaths.com/explorer.php?ssid=4302E378
378aSecondaryDescribe an enlargement/dilation with a negative scale factor.drfrostmaths.com/explorer.php?ssid=860https://www.youtube.com/embed/QmvCjLPx7zEK496
378bSecondaryDescribe an enlargement/dilation with a negative and fractional scale factor.drfrostmaths.com/explorer.php?ssid=5700
379SecondaryExam Practice: Combining transformationsdrfrostmaths.com/explorer.php?ssid=4303E379
379aSecondaryComplete two transformations on a given shape.drfrostmaths.com/explorer.php?ssid=5701
379bSecondaryDescribe the single transformation of a shape following two translations.drfrostmaths.com/explorer.php?ssid=5702
379cSecondaryDescribe the single transformation of a shape following two rotations.drfrostmaths.com/explorer.php?ssid=5703
379dSecondaryDescribe the single transformation of a shape following two horizontal and/or vertical reflections.drfrostmaths.com/explorer.php?ssid=5704
379eSecondaryDescribe the single transformation of a shape following any two reflections.drfrostmaths.com/explorer.php?ssid=5705
379fSecondaryDescribe the single transformation of a shape following a combination of two different transformations.drfrostmaths.com/explorer.php?ssid=5706
380SecondaryExam Practice: Invariant pointsdrfrostmaths.com/explorer.php?ssid=4304E380
380aSecondaryGive the coordinate of an invariant point for a given transformation.drfrostmaths.com/explorer.php?ssid=5707
380bSecondaryGive the coordinate of an invariant point for a given combination of transformations.drfrostmaths.com/explorer.php?ssid=5708
380cSecondaryDescribe a transformation that would leave a given point invariant. drfrostmaths.com/explorer.php?ssid=5709
381SecondaryExam Practice: Listing all combinationsdrfrostmaths.com/explorer.php?ssid=65https://www.youtube.com/embed/cLvrDx-30JoE381
381aSecondaryList combinations of items from two groups.drfrostmaths.com/explorer.php?ssid=5710
381bSecondaryList all possible orderings of items.drfrostmaths.com/explorer.php?ssid=5711
381cSecondaryList all possible routes between two points in a graph.drfrostmaths.com/explorer.php?ssid=5712
382SecondaryExam Practice: Product rule for counting (Fundamental Counting Principle)drfrostmaths.com/explorer.php?ssid=64https://www.youtube.com/embed/slevVi3goQkE382
382aSecondaryDetermine the number of combinations when an item is taken from each group.drfrostmaths.com/explorer.php?ssid=2159
382bSecondaryDetermine the number of combinations when an item is repeatedly taken from the same group, but with replacement.drfrostmaths.com/explorer.php?ssid=2185
382cSecondaryUse the number of combinations to determine the number of items in a group.drfrostmaths.com/explorer.php?ssid=2187
382dSecondaryDetermine the number of combinations when multiple items are taken from the same group, where order matters.drfrostmaths.com/explorer.php?ssid=2189
382eSecondaryDetermine the number of combinations when an item is taken from only some of the groups.drfrostmaths.com/explorer.php?ssid=2190
382fSecondaryUse the number of combinations to determine a probability or fraction.drfrostmaths.com/explorer.php?ssid=2204
382gSecondaryDetermine the number of combinations when two items are taken from the same group, where order does not matter.drfrostmaths.com/explorer.php?ssid=2209
382hSecondaryDetermine 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
382iSecondaryUse the number of combinations from multiple forms of a list to determine a probability or fraction.drfrostmaths.com/explorer.php?ssid=2271
382jSecondaryDELETED DECOMMISSIONED - Use the product rule for counting.drfrostmaths.com/explorer.php?ssid=1296https://www.youtube.com/embed/kv7OXIOuHn0K476
383SecondaryExam Practice: Non-multiplicative approaches to counting, including case analysisdrfrostmaths.com/explorer.php?ssid=385E383
383aSecondaryUse listing strategies to find the number of combinations that result in a given property. drfrostmaths.com/explorer.php?ssid=5713
383bSecondarySolve problems by use of case analysis.drfrostmaths.com/explorer.php?ssid=5714
384SecondaryExam Practice: Truncating a number to a given number of decimal placesdrfrostmaths.com/explorer.php?ssid=383https://www.youtube.com/embed/P9NVIheNOdwE384
384aSecondaryTruncate a number to a given number of decimal places or to a whole number.drfrostmaths.com/explorer.php?ssid=1396https://www.youtube.com/embed/OfTNgSg99_kK457
384bSecondaryIdentify the error interval for a truncated number.drfrostmaths.com/explorer.php?ssid=5715
385SecondaryExam Practice: Using lower and upper bounds within calculations to calculate a further lower/upper bounddrfrostmaths.com/explorer.php?ssid=388https://www.youtube.com/embed/VqRVIEWAzQsE385
385aSecondaryCalculate a further bound for a given formula involving a multiplication.drfrostmaths.com/explorer.php?ssid=1080https://www.youtube.com/embed/o9KGaTJMM-wK460
385bSecondaryCalculate a further bound for a given formula involving an addition.drfrostmaths.com/explorer.php?ssid=1082https://www.youtube.com/embed/2OgeM3HwFA0K459
385cSecondaryCalculate a further bound for a given formula involving a subtraction.drfrostmaths.com/explorer.php?ssid=1083https://www.youtube.com/embed/891T3-gSXgYK461
385dSecondaryCalculate a further bound for a given formula involving a division.drfrostmaths.com/explorer.php?ssid=1081https://www.youtube.com/embed/sN8gtyj-KcYK462
385eSecondaryCalculate a lower or upper bound for a speed, distance or time calculation.drfrostmaths.com/explorer.php?ssid=5716
385fSecondaryCalculate a further bound for a given formula involving multiple arithmetic operations.drfrostmaths.com/explorer.php?ssid=1084https://www.youtube.com/embed/UkDv8UJL_L8K463
385gSecondaryCalculate a further bound and specify the value to a suitable degree of accuracy.drfrostmaths.com/explorer.php?ssid=1138https://www.youtube.com/embed/k0_I-LN60u4K464
386SecondaryExam Practice: Tolerancedrfrostmaths.com/explorer.php?ssid=4305E386
386aSecondaryWrite a minimum and maximum measurement in tolerance form.drfrostmaths.com/explorer.php?ssid=5717
386bSecondaryWrite the tolerance form from a given context.drfrostmaths.com/explorer.php?ssid=5718
386cSecondaryFind the maximum and minimum from a tolerance written as a percentage.drfrostmaths.com/explorer.php?ssid=5719
386dSecondaryWrite a tolerance from a given context when the tolerance is written as a percentage.drfrostmaths.com/explorer.php?ssid=5720
386eSecondaryAccumulate error (by addition or subtraction only).drfrostmaths.com/explorer.php?ssid=5721
387SecondaryExam Practice: Algebraic direct and inverse proportiondrfrostmaths.com/explorer.php?ssid=355https://www.youtube.com/embed/JVbNzRe0hKEE387
387aSecondaryDetermine the formula connecting two variables which are directly proportional.drfrostmaths.com/explorer.php?ssid=811https://www.youtube.com/embed/xk497iF8MGEK472
387bSecondaryDetermine if a linear relationship is a proportional relationship.drfrostmaths.com/explorer.php?ssid=5722
387cSecondaryDetermine the formula connecting two variables which are directly proportional involving powers/roots.drfrostmaths.com/explorer.php?ssid=846K473
387dSecondaryDetermine the formula connecting two variables which are inversely proportional.drfrostmaths.com/explorer.php?ssid=812https://www.youtube.com/embed/qGfghjjASLQK474
387eSecondaryDetermine the formula connecting two variables which are inversely proportional involving powers/roots.drfrostmaths.com/explorer.php?ssid=847K475
387fSecondaryComplete a table of values for a directly proportional relationship.drfrostmaths.com/explorer.php?ssid=2272
387gSecondaryComplete a table of values for an inversely proportional relationship.drfrostmaths.com/explorer.php?ssid=5723
387hSecondaryDecide on the proportional relationship between two variables given two pairs of values.drfrostmaths.com/explorer.php?ssid=2282
387iSecondaryDetermine a formula to connect two proportional relationships with a common variable.drfrostmaths.com/explorer.php?ssid=1610
387jSecondaryUse the constant of proportionality for direct or inverse proportion involving a percentage change.drfrostmaths.com/explorer.php?ssid=1510K975
387kSecondaryDetermine a formula for a directly or inversely proportional relationship where the inputs are algebraic.drfrostmaths.com/explorer.php?ssid=2297
387lSecondaryIdentify the correct proportionality relationship when a table of values is given.drfrostmaths.com/explorer.php?ssid=5724
388SecondaryExam Practice: Simplifying single algebraic fractions by cancelling common factorsdrfrostmaths.com/explorer.php?ssid=356https://www.youtube.com/embed/RfFqb93M4U4E388
388aSecondarySimplify a factorised algebraic fraction.drfrostmaths.com/explorer.php?ssid=1446https://www.youtube.com/embed/ZR7ItaSpe2IK411
388bSecondarySimplify algebraic fractions where linear factorisation of one of the numerator or denominator is required.drfrostmaths.com/explorer.php?ssid=1545https://www.youtube.com/embed/qwdOLaLI0isK740
388cSecondarySimplify algebraic fractions where linear factorisation of both the numerator and denominator is required.drfrostmaths.com/explorer.php?ssid=1546https://www.youtube.com/embed/R1nQV2lrRDUK741
388dSecondarySimplify algebraic fractions where factorisation of one of the numerator or denominator is required.drfrostmaths.com/explorer.php?ssid=1236https://www.youtube.com/embed/ZzS1hdihiOQK412
388eSecondarySimplify algebraic fractions where factorisation of both the numerator and denominator is required.drfrostmaths.com/explorer.php?ssid=1237https://www.youtube.com/embed/1IfM07KM2wEK413
388fSecondarySimplify algebraic fractions where factorisation of a non-monic quadratic expression is required.drfrostmaths.com/explorer.php?ssid=5725
388gSecondarySimplify algebraic fractions where one factorised term is a negative of another.drfrostmaths.com/explorer.php?ssid=5726
389SecondaryExam Practice: Multiplying and dividing algebraic fractionsdrfrostmaths.com/explorer.php?ssid=357https://www.youtube.com/embed/PMXJGwzW1AME389
389aSecondaryMultiply algebraic fractions with single terms on the numerators and denominators.drfrostmaths.com/explorer.php?ssid=1153https://www.youtube.com/embed/K-SqTkLDKcQK409
389bSecondaryDivide algebraic fractions with single terms on the numerators and denominators.drfrostmaths.com/explorer.php?ssid=1154https://www.youtube.com/embed/heW51yiqj6YK410
389cSecondaryMultiply algebraic fractions requiring prior factorisation (excluding non-monic quadratic expressions).drfrostmaths.com/explorer.php?ssid=1937https://www.youtube.com/embed/KyiaP456KoY
389dSecondaryDivide algebraic fractions requiring prior factorisation (excluding non-monic quadratic expressions).drfrostmaths.com/explorer.php?ssid=1942https://www.youtube.com/embed/cbcpd6IcCec
389eSecondaryMultiply algebraic fractions requiring prior factorisation, including a non-monic quadratic expressions.drfrostmaths.com/explorer.php?ssid=1943https://www.youtube.com/embed/Rb6YZGbbWbM
389fSecondaryDivide algebraic fractions requiring prior factorisation, including a non-monic quadratic expressions.drfrostmaths.com/explorer.php?ssid=1950https://www.youtube.com/embed/Z66n9s4F08s
390SecondaryExam Practice: Adding and subtracting algebraic fractions (no factorisation of denominators required)drfrostmaths.com/explorer.php?ssid=18https://www.youtube.com/embed/PQWQQRRpUlQE390
390aSecondaryAdd and subtract algebraic fractions with integer denominators.drfrostmaths.com/explorer.php?ssid=1096https://www.youtube.com/embed/IJa8_uWgFvcK408
390bSecondaryAdd or subtract algebraic fractions with algebraic denominators made of single terms.drfrostmaths.com/explorer.php?ssid=1540https://www.youtube.com/embed/RzojiUG3jgAK736
390cSecondaryAdd algebraic fractions with algebraic linear denominators.drfrostmaths.com/explorer.php?ssid=1155https://www.youtube.com/embed/nA0KBAKTp7MK605
390dSecondarySubtract algebraic fractions with algebraic linear denominators.drfrostmaths.com/explorer.php?ssid=1244https://www.youtube.com/embed/uUYnGCrGD4YK606
390eSecondaryAdd or subtract a mixture of fractional and non-fractional terms.drfrostmaths.com/explorer.php?ssid=1963https://www.youtube.com/embed/qZu2SOi7y6s
390fSecondaryAdd or subtract algebraic fractions with a factorised quadratic expression in one denominator.drfrostmaths.com/explorer.php?ssid=1964https://www.youtube.com/embed/c2fr5lnyQmA
390gSecondaryCombine multiplication or division of algebraic fractions with an addition or subtraction.drfrostmaths.com/explorer.php?ssid=1620https://www.youtube.com/embed/9Ri9-g2blr8
390hSecondaryChange the subject of a formula involving algebraic fractions, where the subject is in the denominator.drfrostmaths.com/explorer.php?ssid=2362
391A Level, SecondaryExam Practice: Adding and subtracting algebraic fractions, requiring prior factorisation of the denominatorsdrfrostmaths.com/explorer.php?ssid=361https://www.youtube.com/embed/oSy_5CWt3DgE391
391aSecondary, A LevelAdd or subtract algebraic fractions where factorising is required (changing one denominator).drfrostmaths.com/explorer.php?ssid=1672
391bSecondary, A LevelAdd or subtract algebraic fractions where factorising is required (changing two denominators).drfrostmaths.com/explorer.php?ssid=1677
391cSecondary, A LevelAdd or subtract three fractions requiring prior factorisation.drfrostmaths.com/explorer.php?ssid=5727
391dA Level, SecondarySolve an equation with fractions requiring prior factorisation of one of the fractions.drfrostmaths.com/explorer.php?ssid=1973
391eSecondary, A LevelCombine multiplication or division of algebraic fractions, requiring prior factorisation of the denominators, with an addition or subtraction.drfrostmaths.com/explorer.php?ssid=5728
392Secondary, A LevelExam Practice: Rationalising the denominator where the denominator consists of a single surd termdrfrostmaths.com/explorer.php?ssid=586E392
392aSecondary, A LevelRationalise the denominator of a fraction where the denominator is a single surd.drfrostmaths.com/explorer.php?ssid=686https://www.youtube.com/embed/0sSjrJfz6UQK685
392bSecondary, A LevelRationalise the denominator of a fraction where the denominator is a single surd and where subsequent simplification is required.drfrostmaths.com/explorer.php?ssid=2027https://www.youtube.com/embed/p_WoUulAKws
392cSecondary, A LevelRationalise the denominator of a fraction to subsequently add or subtract surds.drfrostmaths.com/explorer.php?ssid=2029
392dSecondary, A LevelSimplify expressions given in the form \frac{a + \sqrt{b}}{\sqrt{c}}drfrostmaths.com/explorer.php?ssid=2031https://www.youtube.com/embed/X5smkgYqVGY
392eSecondary, A LevelSimplify \left(\frac{a}{\sqrt{b}}\right)^n where n is large.drfrostmaths.com/explorer.php?ssid=2032https://www.youtube.com/embed/flzGFaSKOOE
393A Level, SecondaryExam Practice: Rationalising the denominator where the denominator consists of a surd and a second termdrfrostmaths.com/explorer.php?ssid=63https://www.youtube.com/embed/wiBovf97ihcE393
393aSecondary, A LevelRationalise the denominator of a fraction given in the form \frac{a}{b + \sqrt{c}}drfrostmaths.com/explorer.php?ssid=2046
393bA Level, SecondaryRationalise the denominator of a fraction given in the form \frac{a}{\sqrt{b} + \sqrt{c}}drfrostmaths.com/explorer.php?ssid=1139https://www.youtube.com/embed/aZmdegR1JTwK688
393cA Level, SecondaryRationalise the denominator of a fraction given in the form \frac{a + \sqrt{b}}{c + \sqrt{b}}drfrostmaths.com/explorer.php?ssid=872https://www.youtube.com/embed/GkdPm1qjlEAK686
393dA Level, SecondarySolve equations given in the form x(a + \sqrt{b}) = cdrfrostmaths.com/explorer.php?ssid=2044
393eA Level, SecondaryRationalise 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
393fA Level, SecondaryRationalise the denominator of a fraction given in the form \frac{a + b\sqrt{c}}{d + e\sqrt{c}}drfrostmaths.com/explorer.php?ssid=873https://www.youtube.com/embed/qxqFsazeTdkK687
393gA Level, SecondaryRationalise 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
393hA Level, SecondaryRationalise the denominator of a fraction where either the numerator or the denominator is squared.drfrostmaths.com/explorer.php?ssid=2047
393iA Level, SecondaryChange the subject of the formula where the subject appears twice, resulting in rationalisation of a denominator.drfrostmaths.com/explorer.php?ssid=2043
394Secondary, A LevelExam Practice: Fractional indicesdrfrostmaths.com/explorer.php?ssid=58https://www.youtube.com/embed/E-gq8eq105IE394
394aA Level, SecondaryRaise a number to the power of one half.drfrostmaths.com/explorer.php?ssid=2125
394bA Level, SecondaryRaise a number to the power of a unit fraction.drfrostmaths.com/explorer.php?ssid=650https://www.youtube.com/embed/cmP8DoNjP6cK689
394cA Level, SecondaryDetermine the unknown power in an expression involving unit fractions as indices, given its numeric equivalent.drfrostmaths.com/explorer.php?ssid=5729
394dA Level, SecondaryDetermine the unknown base in an expression involving unit fractions as indices, given its numeric equivalent.drfrostmaths.com/explorer.php?ssid=5730
394eA Level, SecondaryRaise a fraction to the power of a unit fraction.drfrostmaths.com/explorer.php?ssid=652https://www.youtube.com/embed/_OPbhcaouZsK691
394fSecondary, A LevelRaise a number to the power of a non-unit fraction.drfrostmaths.com/explorer.php?ssid=2075
394gSecondary, A LevelRaise a fraction to the power of a non-unit fraction.drfrostmaths.com/explorer.php?ssid=2076
394hA Level, SecondaryDetermine the unknown power in an expression involving non-unit fractions as indices, given its numeric equivalent.drfrostmaths.com/explorer.php?ssid=5731
394iA Level, SecondaryDetermine the unknown base in an expression involving non-unit fractions as indices, given its numeric equivalent.drfrostmaths.com/explorer.php?ssid=5732
394jA Level, SecondaryRaise a number to the power of a negative fraction.drfrostmaths.com/explorer.php?ssid=651https://www.youtube.com/embed/uN135i-SefkK690
394kSecondary, A LevelRaise a fraction to the power of a negative fraction.drfrostmaths.com/explorer.php?ssid=653https://www.youtube.com/embed/ND5Ls34mRd4K692
394lSecondary, A LevelRaise an algebraic term to the power of a positive unit fraction.drfrostmaths.com/explorer.php?ssid=819https://www.youtube.com/embed/2yavvH_Un3wK693
394mA Level, SecondaryRaise an algebraic term to the power of any positive fraction.drfrostmaths.com/explorer.php?ssid=5733
394nSecondary, A LevelRaise an algebraic term to the power of a negative fraction.drfrostmaths.com/explorer.php?ssid=820https://www.youtube.com/embed/ZabULuxYCrsK694
394oA Level, SecondaryRaise an algebraic fraction to the power of a negative fraction.drfrostmaths.com/explorer.php?ssid=2077
394pA Level, SecondaryWrite a surd expression in one variable as a power of that variable (or value).drfrostmaths.com/explorer.php?ssid=2085
394qA Level, SecondaryWrite a collection of terms in the form ax^bdrfrostmaths.com/explorer.php?ssid=1281K762
394rA Level, SecondarySimplify an algebraic fraction using index laws with negative and fractional powers and surd notation.drfrostmaths.com/explorer.php?ssid=976K766
394sSecondary, A LevelWrite a fraction as a collection of terms by splitting the fraction.drfrostmaths.com/explorer.php?ssid=1498K967
394tA Level, SecondaryRaise an algebraic expression in standard form to a fractional power and convert back to standard form.drfrostmaths.com/explorer.php?ssid=5734
395A Level, SecondaryExam Practice: Solving equations involving negative and fractional powers and surdsdrfrostmaths.com/explorer.php?ssid=4306E395
395aA Level, SecondarySolve equations given in the form x^{-1} = adrfrostmaths.com/explorer.php?ssid=5735
395bA Level, SecondarySolve equations given in the form x^{-a} = bdrfrostmaths.com/explorer.php?ssid=5736
395cA Level, SecondarySolve equations given in the form x^\frac{1}{a} = bdrfrostmaths.com/explorer.php?ssid=5737
395dA Level, SecondarySolve equations given in the form x^\frac{a}{b} = c resulting in integer solutions.drfrostmaths.com/explorer.php?ssid=2126
395eA Level, SecondarySolve equations given in the form x^\frac{a}{b} = c resulting in solutions in surd form.drfrostmaths.com/explorer.php?ssid=2132
395fA Level, SecondarySolve equations given in the form x^{-\frac{a}{b}} = cdrfrostmaths.com/explorer.php?ssid=5738
395gA Level, SecondarySolve equations requiting rearrangement, leading to x^a=b where a is a fraction.drfrostmaths.com/explorer.php?ssid=1676
395hSecondary, A LevelSolve equations where a root or fractional power is involved requiring operations with surds.drfrostmaths.com/explorer.php?ssid=5739
395iA Level, SecondarySolve equations with negative and fractional powers, then manipulate these values.drfrostmaths.com/explorer.php?ssid=5740
396SecondaryExam Practice: Quartiles from discrete datadrfrostmaths.com/explorer.php?ssid=341https://www.youtube.com/embed/JZWRp2ANCg0E396
396aSecondaryFind quartiles of listed data.drfrostmaths.com/explorer.php?ssid=1398https://www.youtube.com/embed/d1jUs4FceAQK552
396bSecondaryFind the interquartile range of listed data.drfrostmaths.com/explorer.php?ssid=1422https://www.youtube.com/embed/uXT0v3Zx6ukK553
396cSecondaryFind the semi-interquartile range of listed data.drfrostmaths.com/explorer.php?ssid=5741
396dSecondaryDetermine the upper and lower quartiles from a stem-and-leaf diagram.drfrostmaths.com/explorer.php?ssid=1439K554
396eSecondaryDetermine the interquartile range from a stem-and-leaf diagram.drfrostmaths.com/explorer.php?ssid=1758
396fSecondaryCompare two sets of data based on their medians and interquartile ranges.drfrostmaths.com/explorer.php?ssid=5742
396gSecondaryDetermine the lower or upper quartile from an ungrouped frequency table.drfrostmaths.com/explorer.php?ssid=2158
397SecondaryExam Practice: Deciles and percentiles from discrete datadrfrostmaths.com/explorer.php?ssid=4307E397
397aSecondaryFind deciles of listed data.drfrostmaths.com/explorer.php?ssid=5743
397bSecondaryFind percentiles of listed data.drfrostmaths.com/explorer.php?ssid=5744
397cSecondaryFind the inter-decile range of listed data.drfrostmaths.com/explorer.php?ssid=5745
397dSecondaryFind the inter-percentile range of listed data. drfrostmaths.com/explorer.php?ssid=5746
397eSecondaryCompare two sets of data using deciles and percentiles, or the inter-decile or inter-percentile ranges. drfrostmaths.com/explorer.php?ssid=5747
398SecondaryExam Practice: Cumulative frequency graphsdrfrostmaths.com/explorer.php?ssid=344https://www.youtube.com/embed/sfxNFPWfn14E398
398aSecondaryForm a cumulative frequency table from a grouped frequency table.drfrostmaths.com/explorer.php?ssid=1579K757
398bSecondaryDraw a cumulative frequency curve given a continuous cumulative frequency table.drfrostmaths.com/explorer.php?ssid=815https://www.youtube.com/embed/pKH4XjD4S9MK557
398cSecondaryDraw a cumulative frequency curve given a continuous, grouped frequency table.drfrostmaths.com/explorer.php?ssid=816https://www.youtube.com/embed/mhvDfyc_IIMK558
398dSecondaryUse a cumulative frequency curve to estimate the median.drfrostmaths.com/explorer.php?ssid=839https://www.youtube.com/embed/4yQck0Or7PkK559
398eSecondaryUse a cumulative frequency curve to estimate the interquartile range.drfrostmaths.com/explorer.php?ssid=840https://www.youtube.com/embed/K2G-hEvhHtMK560
398fSecondaryUse a cumulative frequency curve to estimate values.drfrostmaths.com/explorer.php?ssid=1076https://www.youtube.com/embed/9stxtowIyKkK561
398gSecondaryUse a cumulative frequency curve to estimate a percentile or decile.drfrostmaths.com/explorer.php?ssid=5748
398hSecondaryUse a cumulative frequency curve to estimate the inter-decile or inter-percentile range.drfrostmaths.com/explorer.php?ssid=5749
398iSecondaryForm a cumulative frequency table from a discrete, ungrouped frequency table.drfrostmaths.com/explorer.php?ssid=5750
398jSecondaryDraw a cumulative frequency step-polygon given a discrete, ungrouped frequency table.drfrostmaths.com/explorer.php?ssid=5751
399SecondaryExam Practice: Box plots / box and whisker diagrams (excluding outliers)drfrostmaths.com/explorer.php?ssid=345https://www.youtube.com/embed/lIcj_NjZlZUE399
399aSecondaryInterpret a box plot.drfrostmaths.com/explorer.php?ssid=898https://www.youtube.com/embed/e3SPUZLszRYK555
399bSecondaryDraw a box plot where the quartiles have been calculated.drfrostmaths.com/explorer.php?ssid=1039https://www.youtube.com/embed/deNsGhWY-8AK556
399cSecondaryDraw a box plot using listed data.drfrostmaths.com/explorer.php?ssid=5752
399dSecondaryDraw a box plot from a cumulative frequency diagram.drfrostmaths.com/explorer.php?ssid=1750
399eSecondaryUnderstand the proportions shown in a box plot.drfrostmaths.com/explorer.php?ssid=5753
399fSecondaryCompare the distribution of two box plots.drfrostmaths.com/explorer.php?ssid=1811
400SecondaryExam Practice: Time series and moving averagesdrfrostmaths.com/explorer.php?ssid=4308E400
400aSecondaryDraw a time-series graph.drfrostmaths.com/explorer.php?ssid=1458K90
400bSecondaryRead a time-series graph.drfrostmaths.com/explorer.php?ssid=1457K89
400cSecondaryDraw a trend line on a time-series graph.drfrostmaths.com/explorer.php?ssid=5754
400dSecondaryDescribe the trend of a given time series graph.drfrostmaths.com/explorer.php?ssid=5755
400eSecondaryUnderstand and interpret seasonal variation. drfrostmaths.com/explorer.php?ssid=5756
400fSecondaryCalculate a four-point moving average.drfrostmaths.com/explorer.php?ssid=5757
400gSecondaryCalculate a moving average with a given number of points.drfrostmaths.com/explorer.php?ssid=5758
400hSecondaryUse a moving average to plot a trend line. drfrostmaths.com/explorer.php?ssid=5759
400iSecondaryCalculate the mean seasonal variation.drfrostmaths.com/explorer.php?ssid=5760
400jSecondaryUse mean seasonal variation and the trend line to give a predicted future value. drfrostmaths.com/explorer.php?ssid=5761
400kSecondaryJustify the use of a given number of points for a moving average or the validity of a prediction.drfrostmaths.com/explorer.php?ssid=5762
401Secondary, A LevelExam Practice: Histograms and frequency density (unequal class widths)drfrostmaths.com/explorer.php?ssid=339https://www.youtube.com/embed/yvVOFvXTY3sE401
401aA Level, SecondaryComplete a histogram from a frequency table.drfrostmaths.com/explorer.php?ssid=876https://www.youtube.com/embed/yvYLF8Tg764K623
401bSecondary, A LevelComplete a frequency table from a histogram.drfrostmaths.com/explorer.php?ssid=877https://www.youtube.com/embed/tNomKD1fvkAK624
401cSecondary, A LevelUse a single frequency to determine another for a given range on a histogram.drfrostmaths.com/explorer.php?ssid=878https://www.youtube.com/embed/WAUKD2E_Lh8K625
401dA Level, SecondaryDetermine the total frequency from a histogram given one frequency.drfrostmaths.com/explorer.php?ssid=879https://www.youtube.com/embed/0D2ijgv6Jl8K626
401eA Level, SecondaryEstimate a frequency in a given range from a histogram.drfrostmaths.com/explorer.php?ssid=5763
401fSecondary, A LevelDetermine a probability or proportion of a range from a histogram.drfrostmaths.com/explorer.php?ssid=5764
401gA Level, SecondaryFind the dimensions of a histogram bar.drfrostmaths.com/explorer.php?ssid=1093K844
401hSecondary, A LevelEstimate the mean from a histogram.drfrostmaths.com/explorer.php?ssid=5765
401iA Level, SecondaryEstimate the median from a histogram.drfrostmaths.com/explorer.php?ssid=5766
401jA Level, SecondaryEstimate a decile or percentile from a histogram.drfrostmaths.com/explorer.php?ssid=5767
402SecondaryExam Practice: Understanding skewnessdrfrostmaths.com/explorer.php?ssid=4309E402
402aSecondaryDescribe the skewness of a given frequency diagram or histogram.drfrostmaths.com/explorer.php?ssid=5768
402bSecondaryDescribe the skewness of a given box plot.drfrostmaths.com/explorer.php?ssid=5769
402cSecondaryDetermine skewness of a data set by comparing its mean, median and mode. drfrostmaths.com/explorer.php?ssid=5770
402dSecondaryCompare two sets of data by considering their skewness.drfrostmaths.com/explorer.php?ssid=5771
403SecondaryExam Practice: Comparing data sets using different representationsdrfrostmaths.com/explorer.php?ssid=4310E403
403aSecondaryCompare 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
403bSecondaryCompare two data sets, where each is represented with a different statistical diagram. drfrostmaths.com/explorer.php?ssid=5773
404Exam Practice: Understand the significance of sign changes in locating roots to f(x) = 0 and where it fails.drfrostmaths.com/explorer.php?ssid=281E404
404SecondaryExam Practice: Cavalieri's principledrfrostmaths.com/explorer.php?ssid=4311E404
404aSecondaryApply Cavalieri's principle in 2D.drfrostmaths.com/explorer.php?ssid=5774
404bSecondaryApply Cavalieri's principle in 3D.drfrostmaths.com/explorer.php?ssid=5775
405SecondaryExam Practice: Volume of a pyramid, cone or spheredrfrostmaths.com/explorer.php?ssid=115https://www.youtube.com/embed/TNnauy1E0gwE405
405aSecondaryCalculate the volume of a pyramid.drfrostmaths.com/explorer.php?ssid=781https://www.youtube.com/embed/X7OWPOii4Y8K662
405bSecondaryCalculate the volume of a cone.drfrostmaths.com/explorer.php?ssid=1003https://www.youtube.com/embed/EAX950Orq98K663
405cSecondaryCalculate the volume of a sphere.drfrostmaths.com/explorer.php?ssid=999https://www.youtube.com/embed/-oYEaZtRY-EK657
405dSecondaryCalculate the volume of a hemisphere.drfrostmaths.com/explorer.php?ssid=1000https://www.youtube.com/embed/Tb6Gzf3rE58K658
405eSecondaryDetermine an unknown dimension of a pyramid given its volume.drfrostmaths.com/explorer.php?ssid=1529https://www.youtube.com/embed/J6QOr7BVz0kK725
405fSecondaryDetermine the height of a cone given its volume.drfrostmaths.com/explorer.php?ssid=1006https://www.youtube.com/embed/pkfs8H8E2WoK664
405gSecondaryDetermine the radius or diameter of a cone given its volume.drfrostmaths.com/explorer.php?ssid=1005https://www.youtube.com/embed/QDMakCHENkoK665
405hSecondaryDetermine the radius of a sphere given its volume.drfrostmaths.com/explorer.php?ssid=1002https://www.youtube.com/embed/xK9xcPJjXJ8K659
405iSecondaryDetermine the radius of a hemisphere given its volume.drfrostmaths.com/explorer.php?ssid=1530K726
405jSecondaryDetermine a density of mass using the volume of a pyramid, cone or sphere.drfrostmaths.com/explorer.php?ssid=5776
405kSecondaryForm and solve equations in one variable where the volume of a pyramid, cone or sphere is given.drfrostmaths.com/explorer.php?ssid=5777
405lSecondaryEquate volumes of solids, with all but one length known, to determine that length.drfrostmaths.com/explorer.php?ssid=5778
405mSecondaryEquate volumes of solids, where there is a ratio between two lengths, to determine an unknown.drfrostmaths.com/explorer.php?ssid=5779
405nSecondaryEquate volumes of solids, involving algebraic lengths, to obtain an equation for one variable in terms of another.drfrostmaths.com/explorer.php?ssid=5780
405oSecondaryProblem solve involving ratios and volumes of solids to find a length.drfrostmaths.com/explorer.php?ssid=5781
405pSecondaryDetermine the volume of a cone given its net.drfrostmaths.com/explorer.php?ssid=5782
405qSecondaryDetermine the volume inside one solid but outside another.drfrostmaths.com/explorer.php?ssid=5783
406SecondaryExam Practice: Surface area of a cone or sphere/hemispheredrfrostmaths.com/explorer.php?ssid=116E406
406aSecondaryCalculate the surface area of a sphere.drfrostmaths.com/explorer.php?ssid=1007https://www.youtube.com/embed/hG2TpAew2CoK660
406bSecondaryCalculate the surface area of a hemisphere.drfrostmaths.com/explorer.php?ssid=1424https://www.youtube.com/embed/OZtmPxtXhX8K661
406cSecondaryDetermine the radius of a hemisphere given its surface area.drfrostmaths.com/explorer.php?ssid=1531K728
406dSecondaryDetermine the radius of a sphere given its surface area.drfrostmaths.com/explorer.php?ssid=1532K727
406eSecondaryDetermine the surface area of a cone given the slanted height.drfrostmaths.com/explorer.php?ssid=1010https://www.youtube.com/embed/Ygc3occoSckK667
406fSecondaryCalculate the surface area of a cone given the perpendicular height.drfrostmaths.com/explorer.php?ssid=1011https://www.youtube.com/embed/KyeHi2WinJYK666
406gSecondaryDetermine the slanted height of a cone given the surface area.drfrostmaths.com/explorer.php?ssid=8279
406hSecondaryDetermine the radius of a cone given the surface area.drfrostmaths.com/explorer.php?ssid=8280
406iSecondaryDetermine the perpendicular height of a cone given the surface area.drfrostmaths.com/explorer.php?ssid=8281
406jSecondaryDetermine the surface area of a compound solid with curved faces.drfrostmaths.com/explorer.php?ssid=5784
406kSecondaryEquate the surface area of solids, with all but one length known, to determine that length.drfrostmaths.com/explorer.php?ssid=5785
406lSecondaryDetermine the surface area of a sphere given its volume, or vice versa.drfrostmaths.com/explorer.php?ssid=5786
406mSecondaryDetermine the surface area of a hemisphere or quarter sphere given its volume.drfrostmaths.com/explorer.php?ssid=5787
406nSecondaryDetermine the surface area of a cone given the volume.drfrostmaths.com/explorer.php?ssid=5788
406oSecondaryDetermine the volume of a cone given the surface area.drfrostmaths.com/explorer.php?ssid=5789
406pSecondaryEquate 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
407SecondaryExam Practice: Volume of more complex compound 3D shapesdrfrostmaths.com/explorer.php?ssid=117https://www.youtube.com/embed/z5OOZNcQqeAE407
407aSecondaryCalculate the volume of a compound solid comprising of a cylinder and a cube.drfrostmaths.com/explorer.php?ssid=5791
407bSecondaryCalculate the volume of a compound solid comprising of a pyramid and a cuboid.drfrostmaths.com/explorer.php?ssid=5792
407cSecondaryCalculate the volume of a frustum of a cone.drfrostmaths.com/explorer.php?ssid=1009https://www.youtube.com/embed/0ihDuFhSc8MK668
407dSecondaryCalculate the volume of a compound solid comprising of a cone and a hemisphere.drfrostmaths.com/explorer.php?ssid=1795
407eSecondaryCalculate the volume of a compound solid comprising of a cylinder and a hemisphere.drfrostmaths.com/explorer.php?ssid=5793
407fSecondaryCalculate the volume of a compound solid comprising of a cylinder and a cone.drfrostmaths.com/explorer.php?ssid=5794
407gSecondaryDetermine the volume of a compound solid where the volume of one solid is given.drfrostmaths.com/explorer.php?ssid=5795
407hSecondarySolve rates of flow problems involving compound solids.drfrostmaths.com/explorer.php?ssid=5796
408SecondaryExam Practice: Surface area of more complex compound 3D shapesdrfrostmaths.com/explorer.php?ssid=4312E408
408aSecondaryCalculate the surface area of a compound solid comprising of a pyramid and a cuboid.drfrostmaths.com/explorer.php?ssid=5797
408bSecondaryCalculate the surface area of a frustum of a cone.drfrostmaths.com/explorer.php?ssid=5798
408cSecondaryCalculate the surface area of a compound solid comprising of a cone and a hemisphere.drfrostmaths.com/explorer.php?ssid=5799
408dSecondaryCalculate the surface area of a compound solid comprising of a cylinder and a hemisphere.drfrostmaths.com/explorer.php?ssid=5800
408eSecondaryCalculate the surface area of a compound solid comprising of a cylinder and a cone.drfrostmaths.com/explorer.php?ssid=5801
408fSecondaryCalculate the surface area of a compound solid comprising of a cylinder and a cube.drfrostmaths.com/explorer.php?ssid=5802
408gSecondaryDetermine the surface area of a compound solid where the volume of one solid is given.drfrostmaths.com/explorer.php?ssid=5803
408hSecondaryDetermine the surface area of a compound solid given its volume.drfrostmaths.com/explorer.php?ssid=5804
409SecondaryExam Practice: 3D coordinatesdrfrostmaths.com/explorer.php?ssid=135E409
409aSecondaryDetermine the 3D coordinate of a vertex on a cube or cuboid.drfrostmaths.com/explorer.php?ssid=5805
409bSecondaryDetermine an unknown point within two points and their midpoint.drfrostmaths.com/explorer.php?ssid=5806
409cSecondaryDetermine the 3D coordinate of a midpoint of an edge or face on a cube or cuboid.drfrostmaths.com/explorer.php?ssid=5807
409dSecondaryDetermine a 3D coordinate on a pyramid or triangular prism.drfrostmaths.com/explorer.php?ssid=5808
409eSecondaryDetermine the coordinates of a point that shares a 3D line in a ratio.drfrostmaths.com/explorer.php?ssid=5809
410SecondaryExam Practice: Pythagoras' theorem in 3D shapesdrfrostmaths.com/explorer.php?ssid=138https://www.youtube.com/embed/hh1jZKSM4UEE410
410aSecondaryCalculate the length of a space diagonal of a cuboid using Pythagoras' theorem.drfrostmaths.com/explorer.php?ssid=1194https://www.youtube.com/embed/v8BzZuBNQ40K511
410bSecondaryCalculate the length of a face diagonal of a cuboid using Pythagoras' theorem.drfrostmaths.com/explorer.php?ssid=1195https://www.youtube.com/embed/rdMmCq3JIkAK510
410cSecondaryCalculate the length of a face diagonal of a prism using Pythagoras' theorem.drfrostmaths.com/explorer.php?ssid=1671
410dSecondaryCalculate the length of a space diagonal of a prism.drfrostmaths.com/explorer.php?ssid=5810
410eSecondaryDetermine the height of a square or rectangular based pyramid.drfrostmaths.com/explorer.php?ssid=5811
410fSecondaryDetermine a length of a sloped edge of a square or rectangular based pyramid.drfrostmaths.com/explorer.php?ssid=5812
411SecondaryExam Practice: Trigonometry in 3D shapes (right-angled only)drfrostmaths.com/explorer.php?ssid=576E411
411aSecondaryCalculate the angle between a line and a plane in a cuboid.drfrostmaths.com/explorer.php?ssid=1146https://www.youtube.com/embed/totOyFxPp8IK641
411bSecondaryCalculate the angle between a sloped edge and the base of a pyramid.drfrostmaths.com/explorer.php?ssid=1306https://www.youtube.com/embed/tBf5vHTJyhgK642
411cSecondaryCalculate the angle between two opposite slant edges of a pyramid.drfrostmaths.com/explorer.php?ssid=5813
411dSecondaryDetermine the angle between a line and a plane in a triangular prism using its lengths.drfrostmaths.com/explorer.php?ssid=5814
411eSecondaryDetermine the angle between a line and a plane in a triangular prism using another angle.drfrostmaths.com/explorer.php?ssid=5815
411fSecondaryCalculate a length in a triangular prism using given angles and lengths.drfrostmaths.com/explorer.php?ssid=5816
411gSecondaryCalculate a length in a right-angled tetrahedron given angles and lengths.drfrostmaths.com/explorer.php?ssid=5817
411hSecondaryDetermine the angle between the sloped plane and the base of a right-angled tetrahedron.drfrostmaths.com/explorer.php?ssid=5818
411iSecondaryDetermine the angle between a sloped face and the base of a pyramid.drfrostmaths.com/explorer.php?ssid=5819
412SecondaryExam Practice: Exact trigonometric valuesdrfrostmaths.com/explorer.php?ssid=152https://www.youtube.com/embed/7t_SK-wJfFIE412
412aSecondaryKnow exact trigonometric ratios.drfrostmaths.com/explorer.php?ssid=822https://www.youtube.com/embed/ojmP7GLS5Q4K488
412bSecondaryCalculate a length in a single right-angled triangle using exact trigonometric ratios.drfrostmaths.com/explorer.php?ssid=5820
412cSecondaryDetermine a length by using an exact trigonometric ratio combined with Pythagoras.drfrostmaths.com/explorer.php?ssid=5821
413SecondaryExam Practice: Completing the square to put an expression in the form (x+a)^2 + bdrfrostmaths.com/explorer.php?ssid=107https://www.youtube.com/embed/sQooemMboCwE413
413aSecondaryComplete the square for quadratic expressions given in the form x^2 + bx + c where b is even.drfrostmaths.com/explorer.php?ssid=748https://www.youtube.com/embed/GN0Kya1KV4sK580
413bSecondaryComplete the square for quadratic expressions given in the form x^2 + bx + c where b is odd.drfrostmaths.com/explorer.php?ssid=1753https://www.youtube.com/embed/k0wVpJqUAZU
413cSecondaryComplete the square for quadratic expressions given in the form x^2 + bx + c where b is algebraic.drfrostmaths.com/explorer.php?ssid=1611https://www.youtube.com/embed/CdMU81O84Is
413dSecondaryComplete the square for quadratic expressions given in the form x^2 + bx + c where b is a surd.drfrostmaths.com/explorer.php?ssid=5822
414SecondaryExam Practice: Completing the square to put an expression in the form a(x+b)^2 + cdrfrostmaths.com/explorer.php?ssid=509https://www.youtube.com/embed/sQooemMboCwE414
414aSecondaryComplete the square for quadratic expressions given in the form ax^2 + bx + c, where a is positive.drfrostmaths.com/explorer.php?ssid=749https://www.youtube.com/embed/MmkHaxbtEE4K581
414bSecondaryComplete the square for quadratic expressions given in the form ax^2 + bx + c, where a is negative.drfrostmaths.com/explorer.php?ssid=1015https://www.youtube.com/embed/697lfJeyOawK768
415SecondaryExam Practice: Solving quadratic equations by completing the squaredrfrostmaths.com/explorer.php?ssid=110https://www.youtube.com/embed/Ypo9PKsiD8kE415
415aSecondarySolve a quadratic equation when given in completed square form.drfrostmaths.com/explorer.php?ssid=1720
416SecondaryExam Practice: Minimum or maximum point of a quadratic graph by completing the squaredrfrostmaths.com/explorer.php?ssid=106https://www.youtube.com/embed/bIH8FVngi2UE416
416aSecondaryDetermine the minimum point of a quadratic graph when given in completed the square form.drfrostmaths.com/explorer.php?ssid=1714
416bSecondaryDetermine the original quadratic function given the maximum or minimum point.drfrostmaths.com/explorer.php?ssid=1716
416cSecondaryDetermine the maximum point of a quadratic graph when given in completed the square form.drfrostmaths.com/explorer.php?ssid=1715
416dSecondaryDetermine the minimum point of a quadratic graph.drfrostmaths.com/explorer.php?ssid=772https://www.youtube.com/embed/aa7pD91KrkgK582
416eSecondaryDetermine the maximum point of a quadratic graph.drfrostmaths.com/explorer.php?ssid=844https://www.youtube.com/embed/ndlOa7VQs34K583
416fSecondarySketch a quadratic graph, including its intercepts and turning point by completing the square.drfrostmaths.com/explorer.php?ssid=1563https://www.youtube.com/embed/qzqKL3SOL0EK743
416gSecondaryUse 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
416hSecondaryUse 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
417SecondaryExam Practice: Quadratic formula to solve quadratic equationsdrfrostmaths.com/explorer.php?ssid=109https://www.youtube.com/embed/q0vb8ybymKIE417
417aSecondarySolve a quadratic equation to get exact solutions.drfrostmaths.com/explorer.php?ssid=782https://www.youtube.com/embed/m6BTCVHtKakK619
417bSecondarySolve a quadratic equation using the quadratic formula or by completing the square to get numeric solutions.drfrostmaths.com/explorer.php?ssid=783https://www.youtube.com/embed/m6BTCVHtKakK620
417cSecondarySolve quadratic equations using the quadratic formula, requiring rearrangement.drfrostmaths.com/explorer.php?ssid=5823
417dSecondaryDetermine the original quadratic equation given use of the quadratic formula.drfrostmaths.com/explorer.php?ssid=5824
418SecondaryExam Practice: Forming quadratic or non-linear equations from a given context (excluding probability problems)drfrostmaths.com/explorer.php?ssid=499E418
418aSecondaryForm a quadratic equation from the area of a rectangle.drfrostmaths.com/explorer.php?ssid=1662https://www.youtube.com/embed/YM39s9xWowk
418bSecondaryForm a quadratic equation using sides of a right-angled triangle where the area is known.drfrostmaths.com/explorer.php?ssid=5825
418cSecondaryForm a quadratic equation from the area of a more complex rectilinear shape.drfrostmaths.com/explorer.php?ssid=5826
418dSecondaryForm a quadratic equation from the area of a trapezium.drfrostmaths.com/explorer.php?ssid=1664https://www.youtube.com/embed/xh6ZvbsG7mM
418eSecondaryForm a quadratic equation for the area of a trapezium inside a rectangle.drfrostmaths.com/explorer.php?ssid=1657
418fSecondaryForm a quadratic equation using the sides of a right-angled triangle using Pythagoras' Theorem.drfrostmaths.com/explorer.php?ssid=1656
418gSecondaryForm a quadratic equation using sides of a right-angled triangle where the perimeter is known.drfrostmaths.com/explorer.php?ssid=5827
418hSecondaryForm a quadratic equation using the dimensions of a cuboid where the volume is known.drfrostmaths.com/explorer.php?ssid=5828
418iSecondaryForm a quadratic equation using the dimensions of a cuboid where the surface area is known.drfrostmaths.com/explorer.php?ssid=5829
418jSecondaryForm a quadratic equation using the dimensions of a prism where the volume is known.drfrostmaths.com/explorer.php?ssid=5830
418kSecondaryForm a quadratic equation from two equivalent ratios.drfrostmaths.com/explorer.php?ssid=5831
418lSecondaryForm a quadratic equation from a percentage problem.drfrostmaths.com/explorer.php?ssid=5832
419Secondary, A LevelExam Practice: Solving non-linear simultaneous equations/systems of equations by substitutiondrfrostmaths.com/explorer.php?ssid=83https://www.youtube.com/embed/2_n1KKPzmm8E419
419aSecondary, A LevelSolve 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=1085https://www.youtube.com/embed/vpfpFrcBE8AK570
419bSecondary, A LevelSolve 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
419cA Level, SecondarySolve 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=1159https://www.youtube.com/embed/mcJCVfqGJR4K571
419dSecondary, A LevelSolve simultaneous equations/systems of equations given in the form ax + by = c and x^2 + y^2 = ddrfrostmaths.com/explorer.php?ssid=1304K775
419eSecondary, A LevelSolve simultaneous equations/systems of equations with variables in denominator of fractions e.g. x/y+2y/x=4 and y=x-2drfrostmaths.com/explorer.php?ssid=5834
420SecondaryExam Practice: Plotting simple cubic graphsdrfrostmaths.com/explorer.php?ssid=4313E420
420aSecondaryComplete a table of values for a cubic graph with x^3 coefficient equal to one.drfrostmaths.com/explorer.php?ssid=5835
420bSecondaryComplete a table of values for a cubic graph with positive integer coefficient of x^3drfrostmaths.com/explorer.php?ssid=1077https://www.youtube.com/embed/vA9zaxktXksK416
420cSecondaryComplete a table of values for a cubic graph with negative integer coefficient of x^3drfrostmaths.com/explorer.php?ssid=5836
420dSecondaryComplete a table of values for a cubic graph with fractional coefficient of x^3drfrostmaths.com/explorer.php?ssid=5837
420eSecondaryPlot a cubic graph using a completed table of values.drfrostmaths.com/explorer.php?ssid=5838
420fSecondaryComplete a table of values and plot the corresponding cubic graph.drfrostmaths.com/explorer.php?ssid=5839
421SecondaryExam Practice: Using graphs to find approximate solutions to quadratic equationsdrfrostmaths.com/explorer.php?ssid=99E421
421aSecondaryDetermine approximate solutions to a quadratic equation using a graph.drfrostmaths.com/explorer.php?ssid=1815
421bSecondarySolve simultaneous equations/systems of equations using graphical methods, where one is linear and the other is quadratic.drfrostmaths.com/explorer.php?ssid=1037K374
421cSecondaryDraw a horizontal line to determine approximate solutions to a quadratic equation.drfrostmaths.com/explorer.php?ssid=1123https://www.youtube.com/embed/EAInxAQnfdUK608
421dSecondaryDraw a non-horizontal line to determine approximate solutions to a quadratic equation.drfrostmaths.com/explorer.php?ssid=1324https://www.youtube.com/embed/4ellJ6ww-yAK609
421eSecondaryDraw a line to determine approximate solutions to a quadratic equation requiring rearrangement.drfrostmaths.com/explorer.php?ssid=1325https://www.youtube.com/embed/LYsEQfT9r5IK610
421fSecondaryDraw a straight line to determine approximate solutions to a cubic equation requiring rearrangement.drfrostmaths.com/explorer.php?ssid=8332
422SecondaryExam Practice: Plotting reciprocal graphsdrfrostmaths.com/explorer.php?ssid=4314E422
422aSecondaryComplete a table of values for a reciprocal graph with equation given in the form y=\frac{a}{x}drfrostmaths.com/explorer.php?ssid=1136K612
422bSecondaryComplete a table of values for a reciprocal graph with equation given in the form y=\frac{-a}{x}drfrostmaths.com/explorer.php?ssid=5840
422cSecondaryComplete 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
422dSecondaryPlot a reciprocal graph using a completed table of values.drfrostmaths.com/explorer.php?ssid=5842
422eSecondaryComplete a table of values and plot the corresponding reciprocal graph.drfrostmaths.com/explorer.php?ssid=5843
423SecondaryExam Practice: Plotting exponential graphsdrfrostmaths.com/explorer.php?ssid=4315E423
423aSecondaryComplete a table of values for an exponential graph with equation y=a^x for positive integer adrfrostmaths.com/explorer.php?ssid=1573https://www.youtube.com/embed/VRWl266QuAMK753
423bSecondaryComplete a table of values for an exponential graph with equation y=ab^x for positive integers a and bdrfrostmaths.com/explorer.php?ssid=5844
423cSecondaryComplete a table of values for an exponential graph with equation y=a^{-x} for positive integer adrfrostmaths.com/explorer.php?ssid=5845
423dSecondaryPlot an exponential graph using a completed table of values.drfrostmaths.com/explorer.php?ssid=1135K611
423eSecondaryPlot exponential graphs of for y=ab^x+cdrfrostmaths.com/explorer.php?ssid=5846
423fSecondaryComplete a table of values and plot the corresponding exponential graph.drfrostmaths.com/explorer.php?ssid=5847
424A Level, SecondaryExam Practice: Properties of exponential graphsdrfrostmaths.com/explorer.php?ssid=4316E424
424aA Level, SecondaryIdentify the y-intercept of an exponential graph given in the form y=a^xdrfrostmaths.com/explorer.php?ssid=5848
424bSecondary, A LevelIdentify the y-intercept of an exponential graph given in the form y=ab^xdrfrostmaths.com/explorer.php?ssid=5849
424cA Level, SecondaryInterpret the value of a in an exponential model y = ab^x in context.drfrostmaths.com/explorer.php?ssid=5850
424dA Level, SecondaryInterpret the value of b in an exponential model y = ab^x in context.drfrostmaths.com/explorer.php?ssid=5851
424eA Level, SecondaryIdentify the y-intercept of an exponential graph given in the form y=ab^{-x}drfrostmaths.com/explorer.php?ssid=5852
424fA Level, SecondaryIdentify the y-intercept of an exponential graph given in the form y=ab^{x} +cdrfrostmaths.com/explorer.php?ssid=5853
424gSecondary, A LevelIdentify asymptotes given an exponential graph.drfrostmaths.com/explorer.php?ssid=5854
424hSecondary, A LevelIdentify asymptotes given the equation of an exponential graph.drfrostmaths.com/explorer.php?ssid=5855
425SecondaryExam Practice: Determining the values of p and q in the exponential function y = pq^xdrfrostmaths.com/explorer.php?ssid=100https://www.youtube.com/embed/9cHBsfER4ikE425
425aSecondaryDetermine the values of p and q in the exponential function y = pq^xdrfrostmaths.com/explorer.php?ssid=1099https://www.youtube.com/embed/eO13uNnGk0IK607
425bSecondaryUse a graph to determine the function y = pq^xdrfrostmaths.com/explorer.php?ssid=2097
425cSecondaryDetermine an exponential model y = pq^x from two data points to make a prediction.drfrostmaths.com/explorer.php?ssid=2182
425dSecondaryDetermine an exponential model y = pq^x +r from two data points to make a prediction.drfrostmaths.com/explorer.php?ssid=8318
426SecondaryExam Practice: Recognising the shape of basic forms of cubic, reciprocal and exponential graphs based on their equationsdrfrostmaths.com/explorer.php?ssid=426https://www.youtube.com/embed/FVfjEuLxe90E426
426aSecondarySketch 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
426bSecondaryRecognise the shape of simple quadratic, cubic, reciprocal and exponential graphs.drfrostmaths.com/explorer.php?ssid=5857
426cSecondaryRecognise graphs for directly proportional and inversely proportional relationships.drfrostmaths.com/explorer.php?ssid=2294
427SecondaryExam Practice: Recognising the shape of more complex forms of quadratic, cubic, reciprocal and exponential graphs based on their equationsdrfrostmaths.com/explorer.php?ssid=4317E427
427aSecondaryUse the shape of more general linear, quadratic, cubic, reciprocal and exponential graphs and match to a given equation.drfrostmaths.com/explorer.php?ssid=1144https://www.youtube.com/embed/TbZn2LyewocK613
427bSecondaryIdentify a particular quadratic graph amongst other quadratic graphs.drfrostmaths.com/explorer.php?ssid=5858
427cSecondaryIdentify a particular cubic graph amongst other cubic graphs.drfrostmaths.com/explorer.php?ssid=5859
427dSecondaryIdentify a particular reciprocal graph amongst other reciprocal graphs.drfrostmaths.com/explorer.php?ssid=5860
427eSecondaryIdentify a particular exponential graph amongst other exponential graphs.drfrostmaths.com/explorer.php?ssid=5861
428A LevelExam Practice: Choosing a model given the shape of datadrfrostmaths.com/explorer.php?ssid=4318E428
428aA LevelDecide between a linear, quadratic and exponential model based on the shape of bivariate data.drfrostmaths.com/explorer.php?ssid=5862
428bA LevelInformally assess the suitability of a linear, quadratic or exponential model based on the (absolute) residuals.drfrostmaths.com/explorer.php?ssid=5863
428cA LevelLinearise a graph showing a directly proportional relationship.drfrostmaths.com/explorer.php?ssid=5864
429SecondaryExam Practice: Angles in quadrantsdrfrostmaths.com/explorer.php?ssid=4319E429
429aSecondaryIdentify the initial and terminal side of an angle.drfrostmaths.com/explorer.php?ssid=5865
429bSecondaryCalculate the angle between the initial and terminal sides for an angle in the standard position.drfrostmaths.com/explorer.php?ssid=5866
429cSecondaryIdentify coterminal angles.drfrostmaths.com/explorer.php?ssid=5867
429dSecondaryCalculate the reference angle for an angle between 0 and 360 degrees.drfrostmaths.com/explorer.php?ssid=5868
429eSecondaryCalculate the reference angle for an angle above 360 degrees.drfrostmaths.com/explorer.php?ssid=5869
430SecondaryExam Practice: Using the unit circle to find trigonometric values above 90^{\circ}drfrostmaths.com/explorer.php?ssid=4320E430
430aSecondaryUse the unit circle to find \sin, \cos or \tan of a multiple of 90^{\circ}drfrostmaths.com/explorer.php?ssid=5870
430bSecondaryUse the unit circle to find \sin, \cos or \tan of a value in the second quadrant.drfrostmaths.com/explorer.php?ssid=5871
430cSecondaryUse the unit circle to find \sin, \cos or \tan of a value in the third or fourth quadrant.drfrostmaths.com/explorer.php?ssid=5872
430dSecondaryUse the unit circle to find \sin, \cos or \tan of angles above 360 degrees.drfrostmaths.com/explorer.php?ssid=5873
431SecondaryExam Practice: Plotting and recognising graphs of trigonometric functionsdrfrostmaths.com/explorer.php?ssid=98https://www.youtube.com/embed/1rghC25XnHYE431
431aSecondaryPlot and recognise graphs of y = \sin(x) and y = \cos(x) in degrees.drfrostmaths.com/explorer.php?ssid=1143K621
431bSecondaryPlot and recognise the graph y = \tan(x) in degrees.drfrostmaths.com/explorer.php?ssid=2171
431cSecondaryAppreciate the relationship between \sin and \cos for complementary angles.drfrostmaths.com/explorer.php?ssid=2345
431dSecondaryUnderstand the amplitude, period and midline of a trigonometric function using its graph.drfrostmaths.com/explorer.php?ssid=2359
432SecondaryExam Practice: Function notation and calculating outputs or inputs or a functiondrfrostmaths.com/explorer.php?ssid=392https://www.youtube.com/embed/F8g8urV7ZZwE432
432aSecondaryCalculate the output of a function, given the input.drfrostmaths.com/explorer.php?ssid=832https://www.youtube.com/embed/RoOwcP6UxpMK590
432bSecondaryWrite a function that represents a function machine.drfrostmaths.com/explorer.php?ssid=2286
432cSecondaryDetermine the input of a linear function, given the output.drfrostmaths.com/explorer.php?ssid=1801
432dSecondaryDetermine the input of a quadratic function, given the output.drfrostmaths.com/explorer.php?ssid=2301
432eSecondaryDetermine an expression using transformations of a function with a single variable input. drfrostmaths.com/explorer.php?ssid=2303
432fSecondaryDetermine an expression for f(...) with more general algebraic inputs.drfrostmaths.com/explorer.php?ssid=2302
432gSecondaryDetermine an expression for a combination of f(...) with different inputs.drfrostmaths.com/explorer.php?ssid=2312
432hSecondaryDetermine an expression using transformations of a function with different inputs.drfrostmaths.com/explorer.php?ssid=2313
432iSecondarySolve equations given in the form f(...) = k for more general algebraic inputs.drfrostmaths.com/explorer.php?ssid=2321
432jSecondarySolve equations where the output of two functions is equated, leading to a linear equation.drfrostmaths.com/explorer.php?ssid=2327
432kSecondarySolve equations where the output of two functions is equated, leading to a quadratic equation.drfrostmaths.com/explorer.php?ssid=2328
433SecondaryExam Practice: Graph representation of functionsdrfrostmaths.com/explorer.php?ssid=539E433
433aSecondaryDetermine the output of a function using a graph.drfrostmaths.com/explorer.php?ssid=2102
433bSecondarySolve f(x) = k, for some fixed k, using a graph.drfrostmaths.com/explorer.php?ssid=2103
433cSecondaryDetermine the range of values of k for which f(x) = k has a particular number of solutions.drfrostmaths.com/explorer.php?ssid=2104
434SecondaryExam Practice: Solving simple trigonometric equations, e.g. \sin(x) = k, using a graphdrfrostmaths.com/explorer.php?ssid=386E434
434Exam Practice: Forces on connected particles in equilibrium, not on an inclined plane, using F = μR.drfrostmaths.com/explorer.php?ssid=526E434
434aSecondaryDetermine the number of solutions of a trigonometric equation.drfrostmaths.com/explorer.php?ssid=2098
434bSecondaryUse 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
434cSecondaryUse 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
434dSecondaryUse 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=1447K622
434eSecondaryUse 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
434fSecondaryUse 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
434gSecondarySolve equations given in the form \sin(x) = \sin(k)drfrostmaths.com/explorer.php?ssid=2101
434hSecondarySolve equations given in the form \sin(x) = -\sin(k)drfrostmaths.com/explorer.php?ssid=2160
435SecondaryExam Practice: Composite functions (excluding exponentials and modulus)drfrostmaths.com/explorer.php?ssid=391https://www.youtube.com/embed/7Ksdo3zA448E435
435Exam Practice: Forces on connected particles in equilibrium, on an inclined plane/inclined forces, no F = μR.drfrostmaths.com/explorer.php?ssid=527E435
435aSecondaryCalculate the numeric output of a composite function.drfrostmaths.com/explorer.php?ssid=1157https://www.youtube.com/embed/Cz5LaMAcSZcK595
435bSecondaryDetermine the algebraic output of a composite function where both functions are linear.drfrostmaths.com/explorer.php?ssid=1476K596
435cSecondaryDetermine the algebraic output of a composite function where at least one function is quadratic.drfrostmaths.com/explorer.php?ssid=1774
435dSecondaryDetermine the algebraic output of a composite function for more general functions.drfrostmaths.com/explorer.php?ssid=5874
435eSecondaryIdentify the constituent functions that make up a composite function.drfrostmaths.com/explorer.php?ssid=5875
435fSecondarySolve an equation involving a composite function, leading to a linear equation.drfrostmaths.com/explorer.php?ssid=5876
435gSecondarySolve an equation involving a composite function, leading to a quadratic equation.drfrostmaths.com/explorer.php?ssid=5877
435hSecondaryDetermine ff(x) for functions given in the form f(x) = \frac{ax+b}{cx+d}drfrostmaths.com/explorer.php?ssid=5878
436SecondaryExam Practice: Inverse functions (excluding exponentials and modulus)drfrostmaths.com/explorer.php?ssid=390https://www.youtube.com/embed/TQNqHeAnfC8E436
436Exam Practice: Forces on connected particles in equilibrium, on an inclined plane/inclined forces, using F = μR.drfrostmaths.com/explorer.php?ssid=528E436
436aSecondaryDetermine the inverse function for an expression with one operation.drfrostmaths.com/explorer.php?ssid=5879
436bSecondaryDetermine the inverse function for a linear expression.drfrostmaths.com/explorer.php?ssid=1073https://www.youtube.com/embed/B6Q8yjOTHIQK592
436cSecondaryDetermine the value of inverse function for a given input.drfrostmaths.com/explorer.php?ssid=5880
436dSecondaryDetermine the inverse function wheref(x) = \frac{ax+b}{cx+d}drfrostmaths.com/explorer.php?ssid=1179K887
436eSecondaryDetermine the inverse function for a quadratic expression.drfrostmaths.com/explorer.php?ssid=1738
436fSecondaryDetermine the inverse function of a composite function.drfrostmaths.com/explorer.php?ssid=5881
436gSecondarySolve an equation involving both a composite and inverse function.drfrostmaths.com/explorer.php?ssid=5882
436hSecondarySimplify f^{-1} f(x) and understand self-inverse functions.drfrostmaths.com/explorer.php?ssid=5883
437SecondaryExam Practice: Domain and range of simple functionsdrfrostmaths.com/explorer.php?ssid=424E437
437aSecondaryDetermine the range of a linear function for a given domain.drfrostmaths.com/explorer.php?ssid=5884
437bSecondaryDetermine the range of values that should be excluded from the domain of a reciprocal function or root function.drfrostmaths.com/explorer.php?ssid=5885
437cSecondaryDetermine the range of a quadratic function in completed square form.drfrostmaths.com/explorer.php?ssid=5886
437dSecondaryDetermine the range of a quadratic function with a given domain.drfrostmaths.com/explorer.php?ssid=5887
437eSecondaryDetermine the domain or range of a function in graph form.drfrostmaths.com/explorer.php?ssid=5888
438SecondaryExam Practice: Properties of functionsdrfrostmaths.com/explorer.php?ssid=4321E438
438aSecondaryRecognise odd functions and even functions from their graphs.drfrostmaths.com/explorer.php?ssid=5889
438bSecondaryDetermine if a function is odd, even or neither from its algebraic definition.drfrostmaths.com/explorer.php?ssid=5890
438cSecondaryRecognise periodic functions from their graphs.drfrostmaths.com/explorer.php?ssid=5891
439SecondaryExam Practice: Trial and improvement to approximate a solution to an equationdrfrostmaths.com/explorer.php?ssid=352E439
439aSecondaryUse trial and improvement to approximate a solution to an equation given in the form f(x)=kdrfrostmaths.com/explorer.php?ssid=5892
439bSecondaryUse trial and improvement to approximate a solution to an equation formed from a given context.drfrostmaths.com/explorer.php?ssid=5893
440SecondaryExam Practice: General iterative processesdrfrostmaths.com/explorer.php?ssid=4322E440
440aSecondaryUse a general iterative formula given an initial value. drfrostmaths.com/explorer.php?ssid=5894
440bSecondaryWrite an iterative formula from a given context.drfrostmaths.com/explorer.php?ssid=5895
440cSecondaryUse an iterative formula to generate a periodic sequence and solve problems using the periodicity.drfrostmaths.com/explorer.php?ssid=5896
440dSecondaryDetermine an unknown in an iterative formula using two given values.drfrostmaths.com/explorer.php?ssid=5897
441SecondaryExam Practice: Fixed point iteration to approximate a solution to an equationdrfrostmaths.com/explorer.php?ssid=393E441
441aSecondaryRearrange an equation into the form x = g(x) ('fixed point iteration') for subsequent use in an iterative method.drfrostmaths.com/explorer.php?ssid=5898
441bSecondaryAppreciate the significance of a sign change in identifying an interval for the root of an equation.drfrostmaths.com/explorer.php?ssid=5899
441cSecondaryApproximate a solution to an equation using (fixed point) iteration.drfrostmaths.com/explorer.php?ssid=1147K589
442SecondaryExam Practice: Circle theoremsdrfrostmaths.com/explorer.php?ssid=129https://www.youtube.com/embed/3XCiG7Rp4dkE442
442Exam Practice: Calculus in kinematics for motion in a straight line, in 2 dimensions.drfrostmaths.com/explorer.php?ssid=446E442
442aSecondaryKnow that the angle at the centre is twice the angle at the circumference.drfrostmaths.com/explorer.php?ssid=677https://www.youtube.com/embed/h23Wd7rlzgUK645
442bSecondaryKnow that angles in the same segment are equal.drfrostmaths.com/explorer.php?ssid=693https://www.youtube.com/embed/CMIWlpGl67AK646
442cSecondaryKnow that the angle in a semicircle is 90 degrees.drfrostmaths.com/explorer.php?ssid=694https://www.youtube.com/embed/ldBN402lMd4K643
442dSecondaryKnow that opposite angles in a cyclic quadrilateral add to 180.drfrostmaths.com/explorer.php?ssid=695https://www.youtube.com/embed/nfAFJ58EGiAK647
442eSecondaryKnow that the angle between a tangent and the radius at the point of contact is 90.drfrostmaths.com/explorer.php?ssid=696https://www.youtube.com/embed/KAnczfcZFDYK644
442fSecondaryKnow 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=697https://www.youtube.com/embed/QHEO78L0HUoK648
442gSecondaryKnow that tangents which meet at the same point are equal in length (possibly involving other circle theorems).drfrostmaths.com/explorer.php?ssid=1697
442hSecondaryUse Pythagoras' theorem alongside circle theorems.drfrostmaths.com/explorer.php?ssid=1562https://www.youtube.com/embed/PHYNjY6Sw50K744
442iSecondaryDetermine an angle in an arrowhead centred at the circle centre.drfrostmaths.com/explorer.php?ssid=2221
442jSecondaryUse 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=1693https://www.youtube.com/embed/X3AhiZZIgnA
442kSecondaryUse 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
442lSecondaryUse 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
442mSecondaryUse 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
442nSecondaryUse 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
442oSecondaryUse the theorems: angles in same segment are equal and an angle in a semicircle is 90.drfrostmaths.com/explorer.php?ssid=2053
442pSecondaryUse the theorems: angles in a cyclic quadrilateral add to 180 and an angle in a semicircle is 90.drfrostmaths.com/explorer.php?ssid=2070
442qSecondaryUse 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
442rSecondaryUse the theorems: the angle between a radius and a tangent is 90 and the alternate segment theorem.drfrostmaths.com/explorer.php?ssid=2091
442sSecondaryUse the theorems: opposite angles of cyclic quadrilateral add to 180 and the alternate segment theorem.drfrostmaths.com/explorer.php?ssid=2092
442tSecondaryUse 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
442uSecondaryUse 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
442vSecondarySolve problems involving triangles intersecting to form a cyclic quadrilateral.drfrostmaths.com/explorer.php?ssid=2252
442wSecondaryForm 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
442xSecondaryUse a cyclic quadrilateral to form linear simultaneous equations.drfrostmaths.com/explorer.php?ssid=5901
442ySecondaryUse a circle inscribed inside a triangle to determine other lengths of the triangle.drfrostmaths.com/explorer.php?ssid=5902
442zSecondaryDetermine the angle between a tangent and an extended side.drfrostmaths.com/explorer.php?ssid=5903
443SecondaryExam Practice: Intersecting chord and intersecting secant theoremsdrfrostmaths.com/explorer.php?ssid=423https://www.youtube.com/embed/Bua6NRzcF5YE443
443aSecondaryUse the intersecting chord theorem to determine an unknown length.drfrostmaths.com/explorer.php?ssid=1461K669
443bSecondaryUse the intersecting chord theorem to determine the radius of a circle.drfrostmaths.com/explorer.php?ssid=5904
443cSecondaryUse the intersecting secant theorem to form and solve a linear equation.drfrostmaths.com/explorer.php?ssid=1462K670
443dSecondaryUse the intersecting secant theorem to form and solve a quadratic equation.drfrostmaths.com/explorer.php?ssid=5905
443eSecondaryCombine the intersecting chord and intersecting secant theorems.drfrostmaths.com/explorer.php?ssid=5906
444SecondaryExam Practice: Proofs of circle theoremsdrfrostmaths.com/explorer.php?ssid=4323E444
444aSecondaryProve that the angle at the centre of a circle is twice the angle at the circumference.drfrostmaths.com/explorer.php?ssid=5907
444bSecondaryProve that angles in the same segment are equal.drfrostmaths.com/explorer.php?ssid=5908
444cSecondaryProve that opposite angles of a cyclic quadrilateral add to 180^\circdrfrostmaths.com/explorer.php?ssid=5909
444dSecondaryProve the alternate segment theorem / tangent-chord theorem.drfrostmaths.com/explorer.php?ssid=5910
444eSecondaryProve the intersecting chord theorem.drfrostmaths.com/explorer.php?ssid=5911
444fSecondaryProve the intersecting secant theorem.drfrostmaths.com/explorer.php?ssid=5912
445A Level, SecondaryExam Practice: Equations of perpendicular linesdrfrostmaths.com/explorer.php?ssid=94https://www.youtube.com/embed/zEHxOjR7mmQE445
445aSecondary, A LevelDetermine the gradient of a line perpendicular to another with a given gradient.drfrostmaths.com/explorer.php?ssid=1647
445bSecondary, A LevelDetermine whether two lines are perpendicular given their equations (no rearrangement).drfrostmaths.com/explorer.php?ssid=1379https://www.youtube.com/embed/-pqSlgOR0lkK576
445cSecondary, A LevelDetermine whether two lines are perpendicular given their equations (rearrangement required).drfrostmaths.com/explorer.php?ssid=1380https://www.youtube.com/embed/ZowrDc5jZrgK577
445dA Level, SecondaryFind an equation of a line perpendicular to another that passes through a given point.drfrostmaths.com/explorer.php?ssid=737https://www.youtube.com/embed/eC9uFJy84uwK578
445eA Level, SecondaryFind an equation of a line perpendicular to another that passes through a given point (rearrangement required).drfrostmaths.com/explorer.php?ssid=5913
445fA Level, SecondaryDetermine the equation of a line perpendicular to another line that passes through two given points.drfrostmaths.com/explorer.php?ssid=5914
445gSecondary, A LevelDetermine the equation of an altitude of a triangle.drfrostmaths.com/explorer.php?ssid=5915
445hSecondary, A LevelDetermine the equation of the perpendicular bisector of two points, or the diagonal of a kite given the other.drfrostmaths.com/explorer.php?ssid=5916
445iSecondary, A LevelSolve problems involving the intersection of perpendicular lines with the coordinate axes.drfrostmaths.com/explorer.php?ssid=5917
445jA Level, SecondaryDetermine the equation of the diagonal of a kite given the coordinates of the vertices on the other diagonal.drfrostmaths.com/explorer.php?ssid=5918
445kA Level, SecondaryDetermine the coordinates of a point on a kite given one diagonal and another point.drfrostmaths.com/explorer.php?ssid=5919
445lSecondary, A LevelDetermine the area of a rectangle whose diagonal is a coordinate axis.drfrostmaths.com/explorer.php?ssid=5920
445mSecondary, A LevelShow that points make geometric shapes when connected using gradients of parallel and perpendicular lines and their lengths. drfrostmaths.com/explorer.php?ssid=5921
445nSecondary, A LevelDetermine 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
446SecondaryExam Practice: Graphs of circles centred at the origindrfrostmaths.com/explorer.php?ssid=97https://www.youtube.com/embed/kKBGlZ0lhNUE446
446aSecondaryAppreciate that a point on the circumference of a circle satisfies its equation.drfrostmaths.com/explorer.php?ssid=2200
446bSecondaryPlot the graph of a circle centred at the origin.drfrostmaths.com/explorer.php?ssid=1098https://www.youtube.com/embed/9m2IjCNw9XQK417
446cSecondaryDetermine the radius of a circle given its equation.drfrostmaths.com/explorer.php?ssid=1426https://www.youtube.com/embed/fpX2t1P4U9IK420
446dSecondaryDetermine the equation of a circle centred at the origin given its radius.drfrostmaths.com/explorer.php?ssid=1044https://www.youtube.com/embed/c5JH6BVO_roK419
446eSecondaryDetermine the equation of a circle centred at the origin which is drawn.drfrostmaths.com/explorer.php?ssid=1042https://www.youtube.com/embed/qc1cxIR4rPkK418
446fSecondaryDetermine the equation of a circle centred at the origin, using a point given on the circumference.drfrostmaths.com/explorer.php?ssid=2205
446gSecondaryDetermine an area or circumference of a circle centred at the origin given its equation.drfrostmaths.com/explorer.php?ssid=2206
446hSecondaryDetermine the equation of a circle centred at the origin given its area or circumference.drfrostmaths.com/explorer.php?ssid=2207
446iSecondaryDetermine 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
447SecondaryExam Practice: Equation of a tangent to a circle centred at the origindrfrostmaths.com/explorer.php?ssid=389https://www.youtube.com/embed/N1j0BmTxwVME447
447aSecondaryDetermine the equation of a tangent to a circle centred at the origin.drfrostmaths.com/explorer.php?ssid=1404https://www.youtube.com/embed/5nlVm8NXrTMK579
447bSecondaryDetermine the x-intercept or y-intercept of a tangent to a circle centred at the origin.drfrostmaths.com/explorer.php?ssid=1977https://www.youtube.com/embed/pCMQ-WgftWs
447cSecondaryDetermine the area of a triangle formed by a tangent to a circle centred at the origin.drfrostmaths.com/explorer.php?ssid=1978https://www.youtube.com/embed/gWg3YgSdxEs
448A Level, SecondaryExam Practice: Graph transformations of y = f(x+a) and y = f(x) + adrfrostmaths.com/explorer.php?ssid=95https://www.youtube.com/embed/rZDKPySPHwME448
448aSecondary, A LevelSketch the graph y = f(x + a) given the graph of y = f(x)drfrostmaths.com/explorer.php?ssid=5923
448bA Level, SecondarySketch the graph y = f(x) + a given the graph of y = f(x)drfrostmaths.com/explorer.php?ssid=5924
448cSecondary, A LevelUnderstand the effect on a point under the transformation y = f(x + a)drfrostmaths.com/explorer.php?ssid=779https://www.youtube.com/embed/tVeSBMpVIOkK585
448dSecondary, A LevelUnderstand the effect on a point under the transformation y = f(x) + adrfrostmaths.com/explorer.php?ssid=780https://www.youtube.com/embed/Jr_gbVwmReYK586
448eA Level, SecondaryApply transformations y=f(x+a) and y=f(x)+a in a table.drfrostmaths.com/explorer.php?ssid=1769
448fA Level, SecondarySketch the graphs of trigonometric functions y=\sin(x)+a or y=\sin(x+a)drfrostmaths.com/explorer.php?ssid=2353
448gA Level, SecondaryDetermine 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
448hA Level, SecondaryDetermine 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
449Secondary, A LevelExam Practice: Graph transformations of y = f(-x) and y = -f(x)drfrostmaths.com/explorer.php?ssid=544E449
449aA Level, SecondarySketch a graph of y = -f(x) given the graph of y = f(x)drfrostmaths.com/explorer.php?ssid=2143
449bA Level, SecondarySketch a graph of y = f(-x) given the graph of y = f(x)drfrostmaths.com/explorer.php?ssid=2163
449cSecondary, A LevelUnderstand the effect on a point under the transformation y = -f(x)drfrostmaths.com/explorer.php?ssid=968https://www.youtube.com/embed/Da_56RdYKGwK587
449dA Level, SecondaryUnderstand the effect on a point under the transformation y = f(-x)drfrostmaths.com/explorer.php?ssid=2165
449eSecondary, A LevelSketch the graphs of trigonometric functions y=-\sin(x) or y=\sin(-x)drfrostmaths.com/explorer.php?ssid=2261
449fA Level, SecondaryDetermine the equation in f(x) notation after a reflection of a given graph in one axis only.drfrostmaths.com/explorer.php?ssid=2275
449gA Level, SecondaryDELETED DECOMMISSIONED Determine the equation of a new curve given a transformation drawn on a graph.drfrostmaths.com/explorer.php?ssid=1086https://www.youtube.com/embed/kUS9_of2JREK588
449gA Level, SecondaryDetermine the new equation of a function after a reflection in one axis only.drfrostmaths.com/explorer.php?ssid=5925
450Secondary, A LevelExam Practice: Graph transformations of y = f(ax) and y = af(x) (dilations)drfrostmaths.com/explorer.php?ssid=543E450
450aA Level, SecondarySketch a graph of y = af(x) given the graph of y = f(x), where a>0drfrostmaths.com/explorer.php?ssid=2167
450bA Level, SecondarySketch a graph of y = f(ax) given the graph of y = f(x), where a>0drfrostmaths.com/explorer.php?ssid=2166
450cA Level, SecondarySketch a graph of y = af(x) given the graph of y = f(x), where a<0drfrostmaths.com/explorer.php?ssid=2259
450dSecondary, A LevelSketch a graph of y = f(ax) given the graph of y = f(x), where a<0drfrostmaths.com/explorer.php?ssid=2260
450eSecondary, A LevelUnderstand the effect on a point under the transformation y = af(x)drfrostmaths.com/explorer.php?ssid=2183
450fSecondary, A LevelDELETED Determine the equation of simple graph transformations using f(x) notation.drfrostmaths.com/explorer.php?ssid=1094K776
450fSecondary, A LevelUnderstand the effect on a point under the transformation y = f(ax)drfrostmaths.com/explorer.php?ssid=2184
450gSecondary, A LevelDELETED Apply a single transformation to more complex functions.drfrostmaths.com/explorer.php?ssid=1095K777
450gSecondary, A LevelApply transformations y=f(ax) and y=af(x) in a table.drfrostmaths.com/explorer.php?ssid=5926
450hA Level, SecondaryDELETED Apply a single transformation to simple functions.drfrostmaths.com/explorer.php?ssid=1176K778
450hA Level, SecondarySketch the graphs of trigonometric functions y = a\sin(x) or y = \sin(ax)drfrostmaths.com/explorer.php?ssid=2188
450iA Level, SecondaryDetermine 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
450jA Level, SecondaryDetermine the new equation of a function after a scaling transformation y=f(ax) or y=af(x)drfrostmaths.com/explorer.php?ssid=5927
451A Level, SecondaryExam Practice: Combinations of graph transformationsdrfrostmaths.com/explorer.php?ssid=4324E451
451aSecondary, A LevelSketch the graph y = f(x + a) + b given the graph of y = f(x)drfrostmaths.com/explorer.php?ssid=2298
451bA Level, SecondarySketch the graph y = af(bx) given the graph of y = f(x)drfrostmaths.com/explorer.php?ssid=5928
451cSecondary, A LevelSketch 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
451dA Level, SecondarySketch the graph of a trigonometric function given in the form y = \sin(x + a) + b drfrostmaths.com/explorer.php?ssid=1513K714
451eA Level, SecondarySketch the graph of a trigonometric function given in the form y = a\sin(bx)drfrostmaths.com/explorer.php?ssid=5929
451fA Level, SecondarySketch the graph of a trigonometric function given in the form y = a\sin(x+b), y = a\sin(x)+b or y = \sin(ax)+bdrfrostmaths.com/explorer.php?ssid=5930
451gA Level, SecondaryDetermine 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
451hSecondary, A LevelDetermine the equation in f(x) notation after a translation of a given graph to y = f(x + a) + bdrfrostmaths.com/explorer.php?ssid=5931
451iSecondary, A LevelDetermine the equation in f(x) notation after the transformation of a given graph to y = af(bx)drfrostmaths.com/explorer.php?ssid=5932
451jA Level, SecondaryDetermine 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
451kA Level, SecondaryDetermine 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
451lA Level, SecondaryDetermine the new equation of a function after transformations given in the form y = af(bx)drfrostmaths.com/explorer.php?ssid=5935
451mSecondary, A LevelDetermine 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
452A Level, SecondaryExam Practice: Graphs of root functionsdrfrostmaths.com/explorer.php?ssid=4325E452
452aSecondary, A LevelSketch the graph of y=x^{1/2} or y=\sqrt{x}drfrostmaths.com/explorer.php?ssid=5937
452bSecondary, A LevelSketch the graph of y=ax^{1/2} or y=a\sqrt{x}drfrostmaths.com/explorer.php?ssid=5938
452cA Level, SecondarySketch the graph of y=ax^{-1/2} or y=\frac{a}{\sqrt{x}}drfrostmaths.com/explorer.php?ssid=5939
452dA Level, SecondarySketch a graph of y = a\sqrt{x+b}drfrostmaths.com/explorer.php?ssid=5940
452eA Level, SecondarySketch a graph of y = a\sqrt[3]{x+b}drfrostmaths.com/explorer.php?ssid=5941
453SecondaryExam Practice: Testing conjectures and identifying counterexamplesdrfrostmaths.com/explorer.php?ssid=101https://www.youtube.com/embed/BW9oKyy3eEgE453
453Exam Practice: Add, subtract and multiply matrices of any size.drfrostmaths.com/explorer.php?ssid=172E453
453aSecondaryGive a counterexample to show that a conjecture is false using properties of numbers. drfrostmaths.com/explorer.php?ssid=5942
453bSecondaryDetermine which conjecture is disproved by a given counterexample.drfrostmaths.com/explorer.php?ssid=5943
453cSecondaryDetermine a counterexample by substitution into an algebraic expression. drfrostmaths.com/explorer.php?ssid=5944
453dSecondaryConsider the validity of algebraic statements, given constraints on the variables.drfrostmaths.com/explorer.php?ssid=5945
453eSecondaryUse algebraic and numeric properties to determine whether a statement is true.drfrostmaths.com/explorer.php?ssid=5946
454SecondaryExam Practice: Algebraic proofs involving integersdrfrostmaths.com/explorer.php?ssid=102https://www.youtube.com/embed/cIiw609iT-YE454
454aSecondaryIdentify expressions that represent a multiple of an integer.drfrostmaths.com/explorer.php?ssid=1148https://www.youtube.com/embed/aqjIo8YN-nUK598
454bSecondaryIdentify expressions that represent odd/even integers.drfrostmaths.com/explorer.php?ssid=1150https://www.youtube.com/embed/Foy09qSi0iUK597
454cSecondaryUse expressions for consecutive integers.drfrostmaths.com/explorer.php?ssid=1151https://www.youtube.com/embed/WWi1JZWWVbcK599
454dSecondaryUse expressions for consecutive odd/even integers.drfrostmaths.com/explorer.php?ssid=1152https://www.youtube.com/embed/Pz-JPOTUlMsK600
454eSecondaryUse expressions for different odd/even integers, not necessarily consecutive.drfrostmaths.com/explorer.php?ssid=2234
454fSecondaryProve that a given algebraic expression is always odd/even.drfrostmaths.com/explorer.php?ssid=1149https://www.youtube.com/embed/eyAW0tE6gwYK601
454gSecondaryProve that a given algebraic expression is always a multiple of a number.drfrostmaths.com/explorer.php?ssid=2225
454hSecondaryProve that a sum of consecutive integers has some given property.drfrostmaths.com/explorer.php?ssid=2229
454iSecondaryProve that the sum or difference of the squares of consecutive integers has some given property.drfrostmaths.com/explorer.php?ssid=2235
454jSecondaryProve that a sum of consecutive odd or even integers has some given property.drfrostmaths.com/explorer.php?ssid=2236
454kSecondaryProve that a sum of the squares of consecutive odd or even integers has some given property.drfrostmaths.com/explorer.php?ssid=2241
454lSecondaryProve a property about some arithmetic combination of two different odd/even numbers, not necessarily consecutive.drfrostmaths.com/explorer.php?ssid=2243
454mSecondaryProve 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
454nSecondaryForm and solve an equation using relationships between consecutive integers/evens/odds.drfrostmaths.com/explorer.php?ssid=2249
454oSecondaryProve that an algebraic expression is a perfect square.drfrostmaths.com/explorer.php?ssid=2256
455SecondaryExam Practice: Equating coefficients in an identity f(x) \equiv g(x)drfrostmaths.com/explorer.php?ssid=577E455
455aSecondaryEquate coefficients to determine constants in an identity.drfrostmaths.com/explorer.php?ssid=1541https://www.youtube.com/embed/aJmIHTmGo6QK737
455bSecondaryEquate coefficients to determine constants in an identity requiring two single bracket expansions.drfrostmaths.com/explorer.php?ssid=1542https://www.youtube.com/embed/zFya8CW8pb4K738
455cSecondaryEquate coefficients to determine constants in an identity requiring expanding double brackets.drfrostmaths.com/explorer.php?ssid=2019
455dSecondaryEquate coefficients to determine constants in an identity, involving a combination of single and double bracket expansions.drfrostmaths.com/explorer.php?ssid=2033
456SecondaryExam Practice: Inequalities in two variables, including their representation on a plane.drfrostmaths.com/explorer.php?ssid=353https://www.youtube.com/embed/iln-BONbRz0E456
456aSecondaryIdentify a region in 2D indicated by one inequality in two variables.drfrostmaths.com/explorer.php?ssid=1158K604
456bSecondaryIdentify regions in 2D indicated by two inequalities in two variables given in the form x < a or y < adrfrostmaths.com/explorer.php?ssid=1515https://www.youtube.com/embed/MtDWoFaSj3EK716
456cSecondaryIdentify regions in 2D indicated by two inequalities in two variables, where at least one is linear.drfrostmaths.com/explorer.php?ssid=5947
456dSecondaryIdentify regions in 2D indicated by three or more inequalities in two variables.drfrostmaths.com/explorer.php?ssid=1516https://www.youtube.com/embed/MrhvFclpk7UK717
456eSecondaryConsider possible solutions to a one-ended linear inequality in two variables, given information about one or both variables. drfrostmaths.com/explorer.php?ssid=5948
456fSecondaryConsider possible solutions to a two-ended linear inequality in two variables, given information about one or both variables. drfrostmaths.com/explorer.php?ssid=5949
456gSecondaryDetermine a fixed number of integer solutions which satisfy a given set of inequalities in two variables. drfrostmaths.com/explorer.php?ssid=5950
456hSecondaryState 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
456iSecondaryDetermine the missing inequality in two variables given an enclosed area and the other inequalities that satisfy it. drfrostmaths.com/explorer.php?ssid=5952
456jSecondaryDetermine the inequalities in two variables represented by an area on a graph.drfrostmaths.com/explorer.php?ssid=5953
456kSecondaryForm a one-ended linear inequality in two variables from a given context.drfrostmaths.com/explorer.php?ssid=5954
456lSecondaryForm a two-ended linear inequality in two variables from a given context.drfrostmaths.com/explorer.php?ssid=5955
456mSecondaryForm a set of inequalities in two variables from a given context and determine a solution set. drfrostmaths.com/explorer.php?ssid=5956
456nSecondaryConsider the validity of related inequalities in two variables, given others known to be true.drfrostmaths.com/explorer.php?ssid=5957
457SecondaryExam Practice: Set builder notationdrfrostmaths.com/explorer.php?ssid=4326E457
457aSecondaryUse set notation to represent a single one-ended or two-ended range of values for a variable.drfrostmaths.com/explorer.php?ssid=5958
457bSecondaryUse set notation to represent multiple ranges of values for a variable.drfrostmaths.com/explorer.php?ssid=5959
457cSecondaryUse set notation to represent more advanced discrete sets, e.g. odd numbers.drfrostmaths.com/explorer.php?ssid=5960
458A Level, SecondaryExam Practice: Solving quadratic inequalitiesdrfrostmaths.com/explorer.php?ssid=86https://www.youtube.com/embed/NfxMCCrwcJYE458
458aSecondary, A LevelSolve quadratic inequalities given in the form x^2 + bx + c > 0 or x^2 + bx + c < 0drfrostmaths.com/explorer.php?ssid=937https://www.youtube.com/embed/BkU2ct9_T5oK602
458bSecondary, A LevelSolve quadratic inequalities given in the form x^2 + bx> 0 or x^2 + bx < 0drfrostmaths.com/explorer.php?ssid=5961
458cSecondary, A LevelSolve quadratic inequalities given in the form x^2 - a^2> 0 or x^2 - a^2 < 0drfrostmaths.com/explorer.php?ssid=5962
458dA Level, SecondarySolve inequalities requiring rearrangement to the form x^2 + bx + c > 0 or x^2 + bx + c < 0drfrostmaths.com/explorer.php?ssid=1974https://www.youtube.com/embed/tPiWCrLw8sw
458eSecondary, A LevelSolve inequalities requiring expanding brackets and rearrangement to the form x^2 + bx + c > 0 or x^2 + bx + c < 0drfrostmaths.com/explorer.php?ssid=5963
458fA Level, SecondarySolve quadratic inequalities given in the form ax^2 + bx + c > 0 or ax^2 + bx + c < 0drfrostmaths.com/explorer.php?ssid=5964
458gSecondary, A LevelSolve quadratic inequalities requiring rearrangement to the form ax^2 + bx + c > 0 or ax^2 + bx + c < 0drfrostmaths.com/explorer.php?ssid=936https://www.youtube.com/embed/2onyWoJIk9kK603
458hSecondary, A LevelSolve quadratic inequalities requiring expanding brackets and rearrangement to the form ax^2 + bx + c > 0 or ax^2 + bx + c < 0drfrostmaths.com/explorer.php?ssid=5965
458iSecondary, A LevelSolve quadratic inequalities given in the form ax^2 > bx or ax^2 < bxdrfrostmaths.com/explorer.php?ssid=5966
458jSecondary, A LevelSolve quadratic inequalities given in the form ax^2 > b or ax^2 < bdrfrostmaths.com/explorer.php?ssid=1975https://www.youtube.com/embed/LlrFQi3xdxY
458kSecondary, A LevelSolve quadratic inequalities given in the form -x^2 + bx + c > 0 or -x^2 + bx + c < 0drfrostmaths.com/explorer.php?ssid=1976https://www.youtube.com/embed/P_dONvKtsNc
458lSecondary, A LevelSolve 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
458mSecondary, A LevelSolve quadratic inequalities involving a division by a positive algebraic expression.drfrostmaths.com/explorer.php?ssid=1796https://www.youtube.com/embed/Ms886WTYZ9A
458nSecondary, A LevelExpress the solution of a quadratic inequality using set notation.drfrostmaths.com/explorer.php?ssid=5968
458oSecondary, A LevelCombine a linear and a quadratic inequality.drfrostmaths.com/explorer.php?ssid=1797https://www.youtube.com/embed/Ik21a78Vt0c
458pA Level, SecondaryForm and solve a quadratic inequality to find the terms in a quadratic sequence that fulfil certain criteria.drfrostmaths.com/explorer.php?ssid=5969
459SecondaryExam Practice: Understanding and drawing speed-time graphsdrfrostmaths.com/explorer.php?ssid=396E459
459aSecondaryDetermine the maximum and minimum speed reached on a speed-time graph.drfrostmaths.com/explorer.php?ssid=5970
459bSecondaryDetermine when a speed-time graph shows uniform acceleration, uniform deceleration or maintaining a constant speed.drfrostmaths.com/explorer.php?ssid=5971
459cSecondaryDraw a speed-time graph given information about speed and time only.drfrostmaths.com/explorer.php?ssid=1061https://www.youtube.com/embed/t_SHL6gNU9wK860
459dSecondaryCalculate an acceleration with a speed-time graph using gradient. drfrostmaths.com/explorer.php?ssid=1160K551
459eSecondaryDraw a speed-time graph given information about acceleration.drfrostmaths.com/explorer.php?ssid=5972
459fSecondaryDetermine unknown values on the axes of a speed-time graph given information about the acceleration. drfrostmaths.com/explorer.php?ssid=5973
459gSecondaryCalculate the distance from a speed-time graph of an object which is accelerating or decelerating only.drfrostmaths.com/explorer.php?ssid=5974
459hSecondaryCalculate the total distance from a speed-time graph.drfrostmaths.com/explorer.php?ssid=1065https://www.youtube.com/embed/j4-6kbB5XZ0K546
459iSecondaryDetermine the time on a speed-time graph given the total displacement.drfrostmaths.com/explorer.php?ssid=1067K862
459jSecondaryDetermine an unknown speed on a speed-time graph given the total distance.drfrostmaths.com/explorer.php?ssid=5975
459kSecondarySolve problems involving two overlapping speed-time graphs where one object overtakes another.drfrostmaths.com/explorer.php?ssid=5976
460SecondaryExam Practice: Estimating area under a curved graphdrfrostmaths.com/explorer.php?ssid=401https://www.youtube.com/embed/VxPXdHipOrEE460
460aSecondaryEstimate the area under a curved graph between two x values, where the strip is drawn.drfrostmaths.com/explorer.php?ssid=8277
460bSecondaryEstimate the area under a curved graph between two x values, where the strip is not drawn.drfrostmaths.com/explorer.php?ssid=8278
460cSecondaryEstimate 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
460dSecondaryEstimate 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
460eSecondaryState whether an estimated area under a curve is an overestimate or an underestimate.drfrostmaths.com/explorer.php?ssid=5979
460fSecondaryEstimate the distance using a speed-time graph, where the strips are drawn.drfrostmaths.com/explorer.php?ssid=1410https://www.youtube.com/embed/JuLqkQ2HaCgK547
460gSecondaryDetermine whether an estimated distance is an overestimate or an underestimate.drfrostmaths.com/explorer.php?ssid=5980
460hSecondaryEstimate the distance using a speed-time graph, where the strips are not drawn.drfrostmaths.com/explorer.php?ssid=1409https://www.youtube.com/embed/JuLqkQ2HaCgK548
460iSecondaryInterpret the area under a curved graph in contexts outside of speed-time graphs. drfrostmaths.com/explorer.php?ssid=5981
461SecondaryExam Practice: Estimating the gradient of a curvedrfrostmaths.com/explorer.php?ssid=422https://www.youtube.com/embed/5JI780BoDzUE461
461aSecondaryEstimate the gradient of a curve between two given points (average rate of change).drfrostmaths.com/explorer.php?ssid=5982
461bSecondaryEstimate the gradient of a curve at a given point (instantaneous rate of change).drfrostmaths.com/explorer.php?ssid=1145K550
461cSecondaryEstimate the gradient of a curve in context as an average rate of change of a quantity.drfrostmaths.com/explorer.php?ssid=5983
461dSecondaryEstimate the gradient of a curve in context as an instantaneous rate of change of a quantity.drfrostmaths.com/explorer.php?ssid=5984
461eSecondaryEstimate the average speed between two times from a curved distance-time graph.drfrostmaths.com/explorer.php?ssid=5985
461fSecondaryEstimate a velocity at a given time from a curved distance-time graph.drfrostmaths.com/explorer.php?ssid=5986
461gSecondaryEstimate the average acceleration between two times from a curved speed-time graph.drfrostmaths.com/explorer.php?ssid=5987
461hSecondaryEstimate the acceleration at a given time from a curved speed-time graph.drfrostmaths.com/explorer.php?ssid=5988
461iSecondaryInterpret the gradient of a curve in contexts outside of speed-time graphs. drfrostmaths.com/explorer.php?ssid=5989
462SecondaryExam Practice: Solving equations involving fractions that lead to a quadratic equationdrfrostmaths.com/explorer.php?ssid=500E462
462aSecondarySolve an equation requiring multiplication by a single algebraic term, leading to a quadratic equation.drfrostmaths.com/explorer.php?ssid=1965https://www.youtube.com/embed/U1VDJmhZb-k
462bSecondarySolve an equation with a single algebraic fraction on one side of the equation, leading to a quadratic equation.drfrostmaths.com/explorer.php?ssid=1966https://www.youtube.com/embed/WwCYFMOBPiw
462cSecondarySolve an equation with a single algebraic fraction on each side of the equation, leading to a quadratic equation.drfrostmaths.com/explorer.php?ssid=1967https://www.youtube.com/embed/4DbJuBardTg
462dSecondarySolve an equation requiring addition or subtraction of algebraic fractions, leading to a quadratic equation.drfrostmaths.com/explorer.php?ssid=1156https://www.youtube.com/embed/xbXhOyn6zicK614
462eSecondarySolve simultaneous equations/systems of equations with variables in the denominators of the fractions of one of the equations.drfrostmaths.com/explorer.php?ssid=5990
463SecondaryExam Practice: Algebraic probability problems involving independent/dependent eventsdrfrostmaths.com/explorer.php?ssid=511https://www.youtube.com/embed/yJva4ph-KEEE463
463aSecondaryGive an expression for the probability of a single choice given algebraic frequencies.drfrostmaths.com/explorer.php?ssid=5991
463bSecondaryGive an expression for the probability of a single chain of outcomes involving algebraic frequencies.drfrostmaths.com/explorer.php?ssid=5992
463cSecondaryGive an expression for the probability of multiple chains of outcomes involving algebraic frequencies.drfrostmaths.com/explorer.php?ssid=5993
463dSecondaryForm 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
463eSecondaryForm an equation using sampling without replacement.drfrostmaths.com/explorer.php?ssid=829https://www.youtube.com/embed/THQEajeUa24K628
463fSecondaryForm an equation using sampling without replacement where there are multiple chains of outcomes.drfrostmaths.com/explorer.php?ssid=5995
463gSecondaryForm and solve an equation using sampling without replacement where a difference is given between two quantities.drfrostmaths.com/explorer.php?ssid=5996
464SecondaryExam Practice: Problem solving with ratiosdrfrostmaths.com/explorer.php?ssid=535E464
464aSecondaryWrite a ratio as a linear function.drfrostmaths.com/explorer.php?ssid=1442K201
464bSecondaryForm and solve an equation using equivalent ratios, where one is algebraic. drfrostmaths.com/explorer.php?ssid=5997
464cSecondaryForm and solve an equation using equivalent ratios, where both are algebraic. drfrostmaths.com/explorer.php?ssid=5998
464dSecondaryDetermine an amount given a change in a ratio where one part is changing.drfrostmaths.com/explorer.php?ssid=1250https://www.youtube.com/embed/Ge2aPe9XJH8K696
464eSecondaryDetermine an amount given a change in a ratio where two parts are changing.drfrostmaths.com/explorer.php?ssid=1293https://www.youtube.com/embed/vjKJz3h2ycAK697
465Secondary, A LevelExam Practice: Sine rule (Law of Sines) and cosine rule (Law of Cosines) to determine lengths in a non-right angled triangledrfrostmaths.com/explorer.php?ssid=150https://www.youtube.com/embed/oMf2TA9XMSME465
465aSecondary, A LevelUse the sine rule/Law of Sines to determine unknown sides in non right-angled triangles.drfrostmaths.com/explorer.php?ssid=764https://www.youtube.com/embed/KcZW0bXhyykK633
465bA Level, SecondaryUse the cosine rule/Law of Cosines to determine unknown sides in non right-angled triangles.drfrostmaths.com/explorer.php?ssid=767https://www.youtube.com/embed/sToDr67fVl0K636
465cSecondary, A LevelUse the sine and/or cosine rule to solve a multistep problem (two triangles)drfrostmaths.com/explorer.php?ssid=1654
465dSecondary, A LevelDetermine the perimeter of a compound shape consisting of a sector and a triangle.drfrostmaths.com/explorer.php?ssid=5999
465eA Level, SecondaryDELETED DECOMMISSIONED Use the sine rule and cosine rule within a single triangle.drfrostmaths.com/explorer.php?ssid=1287https://www.youtube.com/embed/7o8CnrKMEyMK638
465eSecondary, A LevelUse the cosine rule/Law of Cosines on algebraic sides to determine the value of a variable.drfrostmaths.com/explorer.php?ssid=6000
465fA Level, SecondaryProve the sine rule (Law of Sines) and cosine rule (Law of Cosines).drfrostmaths.com/explorer.php?ssid=6001
466Secondary, A LevelExam Practice: Sine rule (Law of Sines) and cosine rule (Law of Cosines) to determine angles in a non-right angled triangledrfrostmaths.com/explorer.php?ssid=149https://www.youtube.com/embed/pYjmT5W0KwkE466
466aSecondary, A LevelUse the sine rule/Law of Sines to determine acute angles in non right-angled triangles.drfrostmaths.com/explorer.php?ssid=765https://www.youtube.com/embed/YnOk-JO4jlUK634
466bSecondary, A LevelUse the sine rule/Law of Sines to determine obtuse angles in non right-angled triangles.drfrostmaths.com/explorer.php?ssid=766https://www.youtube.com/embed/S473tphsHi4K635
466cSecondary, A LevelUse the cosine rule/Law of Cosines to determine unknown angles in non right-angled triangles.drfrostmaths.com/explorer.php?ssid=768https://www.youtube.com/embed/xM4dAaTTK0cK637
466dSecondary, A LevelDELETED DECOMMISSIONED Use the sine rule to find missing sides and angles (including the ambiguous case).drfrostmaths.com/explorer.php?ssid=1053K794
466eSecondary, A LevelDetermine the largest or smallest angle of a triangle given its sides.drfrostmaths.com/explorer.php?ssid=6002
466fSecondary, A LevelDELETED DECOMMISSIONED Use the cosine rule to find missing sides and angles (including the ambiguous case).drfrostmaths.com/explorer.php?ssid=1070K795
466gSecondary, A LevelUse the sine rule/Law of Sines and cosine rule/Law of Cosines within a single triangle.drfrostmaths.com/explorer.php?ssid=1585https://www.youtube.com/embed/7o8CnrKMEyMK760
467A Level, SecondaryExam Practice: Area of a triangle using two lengths and the angle between themdrfrostmaths.com/explorer.php?ssid=151https://www.youtube.com/embed/JfoyDWUFWLoE467
467aSecondary, A LevelCalculate the area of a triangle using two lengths and the included angle.drfrostmaths.com/explorer.php?ssid=770https://www.youtube.com/embed/DW-yixJRMVkK639
467bSecondary, A LevelCalculate the area of a parallelogram using two lengths and the included angle.drfrostmaths.com/explorer.php?ssid=6003
467cSecondary, A LevelCalculate the area of a kite using two lengths and the included angle.drfrostmaths.com/explorer.php?ssid=6004
467dSecondary, A LevelCalculate the area of a triangle using two lengths and an angle not included between the two sides.drfrostmaths.com/explorer.php?ssid=1423https://www.youtube.com/embed/cR3HT9cuKukK640
467eA Level, SecondaryDetermine an expression for the area of a triangle given algebraic sides.drfrostmaths.com/explorer.php?ssid=6005
467fA Level, SecondaryCalculate a length of a triangle given its area, another length and the included angle.drfrostmaths.com/explorer.php?ssid=6006
467gSecondary, A LevelCalculate the length of the side opposite an angle in a triangle, using its area and another side.drfrostmaths.com/explorer.php?ssid=6007
467hSecondary, A LevelCalculate an angle in a triangle given two sides and the area.drfrostmaths.com/explorer.php?ssid=1771
467iSecondary, A LevelCalculate the area of a segment of a circle, given the radius of the circle and the angle.drfrostmaths.com/explorer.php?ssid=1527K722
467jSecondary, A LevelCalculate the area of a segment of a circle, given the radius of the circle and chord length.drfrostmaths.com/explorer.php?ssid=1526K723
467kA Level, SecondaryCalculate the length of an arc given the area of the segment.drfrostmaths.com/explorer.php?ssid=1528K724
467lSecondary, A LevelCalculate the area of a triangle using its side lengths only.drfrostmaths.com/explorer.php?ssid=6008
467mSecondary, A LevelDetermine the area of a compound shape consisting of a triangle and sector.drfrostmaths.com/explorer.php?ssid=6009
467nA Level, SecondaryDetermine the area of a triangle by finding a length shared with another triangle.drfrostmaths.com/explorer.php?ssid=6010
467oA Level, SecondaryDetermine the area of a quadrilateral given the area of one of its constituent triangles.drfrostmaths.com/explorer.php?ssid=6011
467pSecondary, A LevelDetermine the area of a hexagon given its side lengths and some of its angles.drfrostmaths.com/explorer.php?ssid=6012
467qA Level, SecondaryDetermine the shaded area in overlapping circles.drfrostmaths.com/explorer.php?ssid=1565K745
468SecondaryExam Practice: Advanced formulae for area involving side lengths onlydrfrostmaths.com/explorer.php?ssid=4327E468
468aSecondaryCalculate the area of a triangle using Heron's formula.drfrostmaths.com/explorer.php?ssid=6013
468bSecondaryCalculate the area of a cyclic quadrilateral using Brahmagupta's formula.drfrostmaths.com/explorer.php?ssid=6014
469SecondaryExam Practice: Bearings problems involving non-right-angled trigonometrydrfrostmaths.com/explorer.php?ssid=508E469
469aSecondaryUse the cosine rule/Law of Cosines to determine a bearing.drfrostmaths.com/explorer.php?ssid=2257
469bSecondaryUse the cosine rule/Law of Cosines to determine a distance in a bearing problem.drfrostmaths.com/explorer.php?ssid=1472K672
469cSecondaryUse the sine rule/Law of Sines to determine a bearing.drfrostmaths.com/explorer.php?ssid=2263
469dSecondaryUse the sine rule/Law of Sines to determine a distance in a bearing problem.drfrostmaths.com/explorer.php?ssid=2295
469eSecondaryUse the sine and cosine rules (Laws of Sines/Cosines) to determine a bearing.drfrostmaths.com/explorer.php?ssid=2296
469fSecondaryUse the sine and cosine rules (Laws of Sines/Cosines) to determine a distance in a bearing problem.drfrostmaths.com/explorer.php?ssid=2335
469gSecondaryDetermine an enclosed area in a bearings problem.drfrostmaths.com/explorer.php?ssid=2336
470SecondaryExam Practice: 3D shape problems involving non-right-angled trigonometrydrfrostmaths.com/explorer.php?ssid=4328E470
470aSecondaryDetermine a missing side length in a 3D shape using sine and/or cosine rules (Law of Sines/Cosines).drfrostmaths.com/explorer.php?ssid=6015
470bSecondaryDetermine a missing side length in a triangular prism using trigonometry and the area of a triangle.drfrostmaths.com/explorer.php?ssid=6016
470cSecondaryDetermine an angle in the sloped plane of a right-angled tetrahedron.drfrostmaths.com/explorer.php?ssid=6017
470dSecondaryDetermine the angle between the altitude of a sloped face and a diagonal across the base of a pyramid.drfrostmaths.com/explorer.php?ssid=6018
470eSecondaryDetermine the area of a plane within a 3D shape. drfrostmaths.com/explorer.php?ssid=6019
471SecondaryExam Practice: Proving triangle congruence using SSS, SAS, ASA and RHSdrfrostmaths.com/explorer.php?ssid=141https://www.youtube.com/embed/dTbbETfstgIE471
471aSecondaryProve that two triangles are congruent using SSS.drfrostmaths.com/explorer.php?ssid=1129K629
471bSecondaryProve that two triangles are congruent using ASA.drfrostmaths.com/explorer.php?ssid=1130K630
471cSecondaryProve that two triangles are congruent using SAS.drfrostmaths.com/explorer.php?ssid=1131K631
471dSecondaryProve that two triangles are congruent using RHS.drfrostmaths.com/explorer.php?ssid=1132K632
472A Level, SecondaryExam Practice: Magnitude of a column vectordrfrostmaths.com/explorer.php?ssid=267E472
472aA Level, SecondaryCalculate the magnitude of a 2D column vector.drfrostmaths.com/explorer.php?ssid=1057https://www.youtube.com/embed/_Y--NQL2FWYK650
472bA Level, SecondaryDetermine the magnitude of a scalar multiple of a 2D column vector.drfrostmaths.com/explorer.php?ssid=6020
472cSecondary, A LevelDetermine an unknown value in a 2D column vector given the magnitude.drfrostmaths.com/explorer.php?ssid=6021
473Secondary, A LevelExam Practice: Vectors using variablesdrfrostmaths.com/explorer.php?ssid=268E473
473aA Level, SecondaryDetermine a vector between two points using an appropriate path.drfrostmaths.com/explorer.php?ssid=1068K652
473bA Level, SecondaryDetermine a vector involving a midpoint.drfrostmaths.com/explorer.php?ssid=1069K653
473cSecondary, A LevelDetermine a vector involving a fraction of the distance between two points.drfrostmaths.com/explorer.php?ssid=1071K654
473dSecondary, A LevelDetermine a vector involving half of a subroute.drfrostmaths.com/explorer.php?ssid=6022
473eSecondary, A LevelDetermine a vector involving a fraction of a subroute.drfrostmaths.com/explorer.php?ssid=6023
473fA Level, SecondaryDetermine a vector when one vector is extended out by a ratio.drfrostmaths.com/explorer.php?ssid=6024
474Secondary, A LevelExam Practice: Parallel vectors and straight line proofs using vectorsdrfrostmaths.com/explorer.php?ssid=270E474
474aSecondary, A LevelDetermine if two vectors are parallel.drfrostmaths.com/explorer.php?ssid=6025
474bA Level, SecondaryDetermine an unknown constant in a vector that is parallel to another.drfrostmaths.com/explorer.php?ssid=6026
474cSecondary, A LevelProve that two vectors in a diagram are parallel.drfrostmaths.com/explorer.php?ssid=1162K655
474dSecondary, A LevelProve that three points are collinear using vector variables.drfrostmaths.com/explorer.php?ssid=1161K656
474eSecondary, A LevelProve that three points are colinear using column vectors. drfrostmaths.com/explorer.php?ssid=6027
475A Level, SecondaryExam Practice: Solving vector problems by introduction of a scalardrfrostmaths.com/explorer.php?ssid=4329E475
475aA Level, SecondaryDetermine a vector by equating coefficients for two different scalars/routes.drfrostmaths.com/explorer.php?ssid=6028
475bA Level, SecondaryDetermine a ratio by writing a vector using two different scalars/routes.drfrostmaths.com/explorer.php?ssid=6029
475cSecondary, A LevelDetermine a ratio of vectors by extending out a vector.drfrostmaths.com/explorer.php?ssid=1564K993
476SecondaryExam Practice: Statistical fallaciesdrfrostmaths.com/explorer.php?ssid=4330E476
476aSecondaryRecognise common examples of incorrect reasoning in probability.drfrostmaths.com/explorer.php?ssid=6030
476bSecondaryRecognise situations where regression to the mean may occur.drfrostmaths.com/explorer.php?ssid=6031
477SecondaryExam Practice: Riskdrfrostmaths.com/explorer.php?ssid=4331E477
477aSecondaryCalculate the absolute risk of an event.drfrostmaths.com/explorer.php?ssid=6032
477bSecondaryCalculate the relative risk of an event. drfrostmaths.com/explorer.php?ssid=6033
477cSecondaryUse a two-way table to compare relative risk.drfrostmaths.com/explorer.php?ssid=6034
478SecondaryExam Practice: Cost-benefit and risk analysisdrfrostmaths.com/explorer.php?ssid=4332E478
478aSecondaryCalculate expected profit or loss of company or individual.drfrostmaths.com/explorer.php?ssid=6035
478bSecondaryCalculate expected profit or loss for a given game.drfrostmaths.com/explorer.php?ssid=6036
478cSecondaryCalculate expected gains and losses given a control measure.drfrostmaths.com/explorer.php?ssid=6037
478dSecondaryDecide if an insurance policy should be taken by considering the cost and benefits.drfrostmaths.com/explorer.php?ssid=6038
478eSecondaryEvaluate and decide on a course of action considering the expected costs and benefits of different options. drfrostmaths.com/explorer.php?ssid=6039
479SecondaryExam Practice: Comparative pie chartsdrfrostmaths.com/explorer.php?ssid=4333E479
479aSecondaryUnderstand when it is relevant to use comparative pie charts. drfrostmaths.com/explorer.php?ssid=6040
479bSecondaryCalculate 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
479cSecondaryDraw a pair of comparative pie charts. drfrostmaths.com/explorer.php?ssid=6042
479dSecondaryCalculate the total frequency of a given data set given the comparative radii. drfrostmaths.com/explorer.php?ssid=6043
479eSecondaryCalculate the frequency of a given sector in a comparative pie chart. drfrostmaths.com/explorer.php?ssid=6044
479fSecondaryCompare two sets of data using comparative pie charts. drfrostmaths.com/explorer.php?ssid=6045
480SecondaryExam Practice: Population pyramidsdrfrostmaths.com/explorer.php?ssid=4334E480
480aSecondaryDraw a population pyramid.drfrostmaths.com/explorer.php?ssid=6046
480bSecondaryRead a population pyramid.drfrostmaths.com/explorer.php?ssid=6047
480cSecondaryCompare two sets of data using a population pyramid.drfrostmaths.com/explorer.php?ssid=6048
480dSecondaryMake inferences about a population based on the shape of a population pyramid.drfrostmaths.com/explorer.php?ssid=6049
481SecondaryExam Practice: Choropleth mapsdrfrostmaths.com/explorer.php?ssid=4335E481
481aSecondaryComplete a choropleth map using a given key.drfrostmaths.com/explorer.php?ssid=6050
481bSecondaryRead a choropleth map using a given key.drfrostmaths.com/explorer.php?ssid=6051
481cSecondaryCompare choropleth maps.drfrostmaths.com/explorer.php?ssid=6052
482SecondaryExam Practice: Heat mapsdrfrostmaths.com/explorer.php?ssid=4336E482
482aSecondaryRead a value off a heat map.drfrostmaths.com/explorer.php?ssid=6053
482bSecondaryDetermine the colour/intensity of a region to use on a heat map given its value.drfrostmaths.com/explorer.php?ssid=6054
482cSecondaryMake inferences from data by interpreting a heat map.drfrostmaths.com/explorer.php?ssid=6055
483Exam Practice: Derive and use logarithmic forms of inverse hyperbolic functions.drfrostmaths.com/explorer.php?ssid=253E483
483SecondaryExam Practice: Bubble chartsdrfrostmaths.com/explorer.php?ssid=4337E483
483aSecondaryRead the value represented by a bubble on a bubble chart.drfrostmaths.com/explorer.php?ssid=6056
483bSecondaryDetermine the size of the bubble required on a bubble chart.drfrostmaths.com/explorer.php?ssid=6057
484SecondaryExam Practice: Birth and death ratesdrfrostmaths.com/explorer.php?ssid=4338E484
484aSecondaryCalculate crude birth and death rates.drfrostmaths.com/explorer.php?ssid=6058
484bSecondaryCalculate the number or births or deaths given the rate for a population.drfrostmaths.com/explorer.php?ssid=6059
484cSecondaryUnderstand the limitations of crude rates.drfrostmaths.com/explorer.php?ssid=6060
484dSecondaryDetermine the standard population for different strata.drfrostmaths.com/explorer.php?ssid=6061
484eSecondaryCalculate standardised rates of change.drfrostmaths.com/explorer.php?ssid=6062
484fSecondaryCompare rates of change across a population using standardised rates.drfrostmaths.com/explorer.php?ssid=6063
485A Level, SecondaryExam Practice: Solving hidden quadratic equations (no logs or trigonometric functions)drfrostmaths.com/explorer.php?ssid=181E485
485aA Level, SecondarySolve a hidden quadratic equation given in the form x^n by substitution.drfrostmaths.com/explorer.php?ssid=951K771
485bSecondary, A LevelSolve a hidden quadratic equation given in the form x^n by substitution, that requires multiplying through by x^2.drfrostmaths.com/explorer.php?ssid=1170K772
485cA Level, SecondarySolve an equation involving algebraic powers, leading to a quadratic equation.drfrostmaths.com/explorer.php?ssid=6064
485dA Level, SecondarySolve a hidden quadratic equation involving exponentials (no log solutions).drfrostmaths.com/explorer.php?ssid=1066K773
486SecondaryExam Practice: Simultaneous equations/systems of equations involving 3 variablesdrfrostmaths.com/explorer.php?ssid=484E486
486aSecondarySolve simultaneous equations/systems of equations with 3 variables, by eliminating a given term.drfrostmaths.com/explorer.php?ssid=6065
486bSecondarySolve simultaneous equations/systems of equations with 3 variables.drfrostmaths.com/explorer.php?ssid=1926
486cSecondaryForm and solve simultaneous equations/systems of equations with 3 unknown values. drfrostmaths.com/explorer.php?ssid=6066
487SecondaryExam Practice: Piecewise functionsdrfrostmaths.com/explorer.php?ssid=445E487
487aSecondaryUse a piecewise function to find an output for a specific input.drfrostmaths.com/explorer.php?ssid=1812
487bSecondarySketch a piecewise function involving linear segments.drfrostmaths.com/explorer.php?ssid=1817
487cSecondaryDetermine the component functions of a sketched piecewise function.drfrostmaths.com/explorer.php?ssid=1826
487dSecondaryDetermine the number of solutions to f(x) = k where the function is piecewise.drfrostmaths.com/explorer.php?ssid=1852
487eSecondarySolve equations given in the form f(x) = k when the function is piecewise.drfrostmaths.com/explorer.php?ssid=1853
487fSecondaryDetermine the range of a piecewise function.drfrostmaths.com/explorer.php?ssid=1856
487gSecondaryDetermine a piecewise function given knowledge of its range.drfrostmaths.com/explorer.php?ssid=1857
487hSecondaryDetermine the area enclosed under a piecewise function with linear segments.drfrostmaths.com/explorer.php?ssid=1860
488SecondaryExam Practice: Stepwise functionsdrfrostmaths.com/explorer.php?ssid=4339E488
488aSecondaryDetermine an output of a step function using a graph.drfrostmaths.com/explorer.php?ssid=6067
488bSecondaryDetermine an output of a step function defined algebraically piecewise.drfrostmaths.com/explorer.php?ssid=6068
488cSecondaryDetermine the range of a step function defined algebraically piecewise.drfrostmaths.com/explorer.php?ssid=6069
488dSecondarySketch 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
489SecondaryExam Practice: Dimensional analysisdrfrostmaths.com/explorer.php?ssid=428E489
489aSecondaryPropose a formula to calculate a quantity given its unit.drfrostmaths.com/explorer.php?ssid=6071
489bSecondaryDetermine the dimensions of a quantity in a formula, given the dimensions of the other variables/constants.drfrostmaths.com/explorer.php?ssid=6072
489cSecondaryUse dimensional analysis to determine unknown indices in a proposed formula.drfrostmaths.com/explorer.php?ssid=6073
490SecondaryExam Practice: Dealing with logical true-false statements (Boolean algebra)drfrostmaths.com/explorer.php?ssid=374E490
490aSecondaryEvaluate a simple expression involving a single Boolean operator.drfrostmaths.com/explorer.php?ssid=6074
490bSecondaryComplete a truth table for a single Boolean operator.drfrostmaths.com/explorer.php?ssid=6075
490cSecondaryEvaluate an expression involving two or more Boolean operators.drfrostmaths.com/explorer.php?ssid=6076
490dSecondaryComplete a truth table involving three or more variables.drfrostmaths.com/explorer.php?ssid=6077
490eSecondaryProve the equivalence of expressions with up to 3 variables.drfrostmaths.com/explorer.php?ssid=6078
491SecondaryExam Practice: Syllogisms and tautologiesdrfrostmaths.com/explorer.php?ssid=4340E491
491aSecondaryUnderstand the terminology of syllogisms, including the major premise, minor premise and conclusion.drfrostmaths.com/explorer.php?ssid=6079
491bSecondaryReason 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
491cSecondaryDetermine whether a syllogism involving distribution of items is logically valid.drfrostmaths.com/explorer.php?ssid=6081
491dSecondaryUse the Law of Syllogisms and Law of Detachment (modus ponens) for conditional statements.drfrostmaths.com/explorer.php?ssid=6082
491eSecondaryIdentify when a statement is a tautology (including common types) or a contradiction.drfrostmaths.com/explorer.php?ssid=6083
492A Level, SecondaryExam Practice: Discriminant of a quadratic functiondrfrostmaths.com/explorer.php?ssid=185https://www.youtube.com/embed/ponJzpfss9UE492
492aA Level, SecondaryCalculate the discriminant of a quadratic function with numeric coefficients.drfrostmaths.com/explorer.php?ssid=1828
492bA Level, SecondaryUse the discriminant of a simple quadratic function to determine the number of solutions to an equation.drfrostmaths.com/explorer.php?ssid=1829
492cA Level, SecondaryUnderstand the relationship between the discriminant of a quadratic function and its sketch.drfrostmaths.com/explorer.php?ssid=1834
492dA Level, SecondaryDetermine the discriminant of a quadratic function with algebraic coefficients.drfrostmaths.com/explorer.php?ssid=1869
492eA Level, SecondaryUse the discriminant to reason about the number of solutions of a factorised cubic.drfrostmaths.com/explorer.php?ssid=1880
492fA Level, SecondaryUse the discriminant to determine the values for algebraic coefficients in a quadratic function, where there are equal roots.drfrostmaths.com/explorer.php?ssid=1884
492gA Level, SecondaryUse 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=933K770
492hA Level, SecondaryUse the discriminant to determine the values for algebraic coefficients in a quadratic function, requiring rearrangement.drfrostmaths.com/explorer.php?ssid=1898
492iA Level, SecondaryUse the discriminant to determine when a straight line is tangent to a quadratic graph.drfrostmaths.com/explorer.php?ssid=1755
492jA Level, SecondaryProve that a quadratic with algebraic coefficients always has either distinct or no solutions.drfrostmaths.com/explorer.php?ssid=8330
493Secondary, A LevelExam Practice: Graphs of more general reciprocal functionsdrfrostmaths.com/explorer.php?ssid=540E493
493aA Level, SecondaryIdentify the x and y intercepts of a more general reciprocal function.drfrostmaths.com/explorer.php?ssid=6084
493bSecondary, A LevelIdentify the equation of the vertical asymptote of a more general reciprocal function.drfrostmaths.com/explorer.php?ssid=1808
493cSecondary, A LevelIdentify the equation of the horizontal asymptote of a more general reciprocal function.drfrostmaths.com/explorer.php?ssid=6085
493dA Level, SecondarySketch reciprocal functions given in the form y = a + \frac{b}{cx + d}drfrostmaths.com/explorer.php?ssid=1809
493eSecondary, A LevelSketch graphs given in the form y = \frac{a}{x^2}drfrostmaths.com/explorer.php?ssid=6086
493fSecondary, A LevelSketch reciprocal functions given in the form y = \frac{ax + b}{cx + d}drfrostmaths.com/explorer.php?ssid=6087
493gSecondary, A LevelDetermine coefficients in a more general reciprocal function that lead to a given x or y intercept.drfrostmaths.com/explorer.php?ssid=6088
493hA Level, SecondaryDetermine coefficients in a more general reciprocal function that lead to a given vertical or horizontal asymptote.drfrostmaths.com/explorer.php?ssid=6089
494A LevelExam Practice: Graphs of polynomials of order 3 or more, particularly cubic and quartic functionsdrfrostmaths.com/explorer.php?ssid=186https://www.youtube.com/embed/KwLJd1rTMtQE494
494aA LevelRecognise 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
494bA LevelIdentify the intercepts of a cubic with the coordinate axes, where the equation is factorised.drfrostmaths.com/explorer.php?ssid=1763
494cA LevelSketch the graph of a cubic function that requires factorising.drfrostmaths.com/explorer.php?ssid=1764
494dA LevelIdentify the factorised equation of a sketched cubic graph.drfrostmaths.com/explorer.php?ssid=1803
494eA LevelIdentify the expanded equation of a sketched cubic graph.drfrostmaths.com/explorer.php?ssid=1766
494fA LevelSketch 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
494gA LevelSketch the graph of a quintic function where the function is in factorised form.drfrostmaths.com/explorer.php?ssid=6090
495A LevelExam Practice: Using the formula y-y_1 = m(x-x_1) to find the equation of a straight linedrfrostmaths.com/explorer.php?ssid=195https://www.youtube.com/embed/qvoIpfd_JB4E495
495Exam Practice: Cartesian and parametric equations for a parabola, ellipse and hyperbola.drfrostmaths.com/explorer.php?ssid=263E495
495aA LevelDetermine 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=1109https://www.youtube.com/embed/QyRT_gshY9EK779
495bA LevelDetermine 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=1111https://www.youtube.com/embed/inbI5b-Lac4K781
495cA LevelDetermine 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=1110https://www.youtube.com/embed/AEgUYEDdvBcK780
495dA LevelFind 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=1112https://www.youtube.com/embed/eC9uFJy84uwK782
495eA LevelDetermine the equation of the perpendicular bisector of a line using y-y_1=m(x-x_1)drfrostmaths.com/explorer.php?ssid=1046K783
495fA LevelDetermine the area of a triangle enclosed by an axis and two intersecting lines.drfrostmaths.com/explorer.php?ssid=1177K784
495gA LevelDetermine the area of a quadrilateral enclosed by both axes and two intersecting lines.drfrostmaths.com/explorer.php?ssid=6091
495hA LevelDetermine the equation of a line for a given context using y-y_1=m(x-x_1)drfrostmaths.com/explorer.php?ssid=1927
495iA LevelDetermine 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
496A Level, SecondaryExam Practice: Coordinate geometry on circles and the equation of a circle with any centredrfrostmaths.com/explorer.php?ssid=196https://www.youtube.com/embed/0P9LdIjAjAwE496
496Exam Practice: Focus-directrix properties of a parabola, ellipse and hyperbola, including the eccentricity.drfrostmaths.com/explorer.php?ssid=264E496
496aA Level, SecondaryDetermine the equation of a circle, not centred at the origin, given its centre and an integer radius.drfrostmaths.com/explorer.php?ssid=1019K786
496bA Level, SecondaryDetermine the equation of a circle, not centred at the origin, which is drawn.drfrostmaths.com/explorer.php?ssid=1043K700
496cA Level, SecondaryWrite down the equation of a circle, not centred at the origin, given its centre and radius as a surd.drfrostmaths.com/explorer.php?ssid=1045K701
496dA Level, SecondaryDetermine the equation of a circle, with given centre and radius/diameter, in expanded form.drfrostmaths.com/explorer.php?ssid=1922
496eA Level, SecondaryPlot the graph of a circle not centred at the origin.drfrostmaths.com/explorer.php?ssid=1101K702
496fA Level, SecondaryDetermine the intercepts of circle given its equation.drfrostmaths.com/explorer.php?ssid=1806
496gA Level, SecondaryDetermine the equation of a circle using the endpoints of the diameter.drfrostmaths.com/explorer.php?ssid=1017https://www.youtube.com/embed/nF9WGe9FfeIK787
496hA Level, SecondaryComplete the square to determine the centre and radius of a circle.drfrostmaths.com/explorer.php?ssid=1016https://www.youtube.com/embed/JkVXhrSpzOsK785
496iSecondary, A LevelComplete the square to determine the centre and radius of a circle, where the equation involves algebraic constants.drfrostmaths.com/explorer.php?ssid=1935
496jA Level, SecondaryDetermine the points where a circle meets an axis. drfrostmaths.com/explorer.php?ssid=1020K788
496kA Level, SecondaryDetermine the equation of a circle using simple reasoning to establish the centre or radius of the circle.drfrostmaths.com/explorer.php?ssid=6093
496lA Level, SecondaryUse 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
496mA Level, SecondaryDetermine the coordinate of a centre of a circle given its radius and the length of a tangent.drfrostmaths.com/explorer.php?ssid=6094
496nA Level, SecondaryDetermine the tangent to a circle centred at any point.drfrostmaths.com/explorer.php?ssid=1021K789
496oA Level, SecondaryDetermine whether circles overlap or touch.drfrostmaths.com/explorer.php?ssid=6095
496pA Level, SecondaryDetermine the shortest distance between two circles with given equations.drfrostmaths.com/explorer.php?ssid=6096
496qA Level, SecondaryDetermine the length of a tangent from a point to a circle with given equation.drfrostmaths.com/explorer.php?ssid=6097
496rA Level, SecondaryDetermine whether a straight line cuts or is tangent to a circle.drfrostmaths.com/explorer.php?ssid=1917
496sA Level, SecondaryDetermine the equation of a tangent to a circle that is parallel to another given tangent.drfrostmaths.com/explorer.php?ssid=1804
496tA Level, SecondaryDetermine the equation of a circle given the coordinates of 3 points.drfrostmaths.com/explorer.php?ssid=6098
497Exam Practice: Tangent and normals to parabolas, ellipsis and hyperbolae.drfrostmaths.com/explorer.php?ssid=265E497
497A LevelExam Practice: Algebraic divisiondrfrostmaths.com/explorer.php?ssid=362E497
497aA LevelDetermine a factor from algebraic division of a quadratic or cubic expression, given another factor. drfrostmaths.com/explorer.php?ssid=6099
497bA LevelDetermine a factor from algebraic division of a polynomial of degree >3 given another factor.drfrostmaths.com/explorer.php?ssid=6100
497cA LevelDetermine the quotient and remainder from an algebraic division (no zero coefficients).drfrostmaths.com/explorer.php?ssid=6101
497dA LevelDetermine the quotient and remainder from an algebraic division (with zero coefficients).drfrostmaths.com/explorer.php?ssid=6102
497eA LevelTurn a top-heavy algebraic fraction into a form involving a quotient and remainder.drfrostmaths.com/explorer.php?ssid=6103
497fA LevelDetermine the original function given the divisor, quotient and remainder.drfrostmaths.com/explorer.php?ssid=1827
498Secondary, A LevelExam Practice: The factor theoremdrfrostmaths.com/explorer.php?ssid=182https://www.youtube.com/embed/VUKuwXspxTIE498
498aSecondary, A LevelDetermine whether a linear expression is a factor of a polynomial.drfrostmaths.com/explorer.php?ssid=1896
498bSecondary, A LevelFactorise a cubic when one of the factors is known.drfrostmaths.com/explorer.php?ssid=1821
498cSecondary, A LevelFactorise a cubic expression using the factor theorem, where a factor is not known.drfrostmaths.com/explorer.php?ssid=1091K791
498dSecondary, A LevelFactorise the sum and difference of two cubes.drfrostmaths.com/explorer.php?ssid=6104
498eSecondary, A LevelUse the factor theorem to find a unknown coefficient.drfrostmaths.com/explorer.php?ssid=1090K790
498fA Level, SecondaryUse the factor theorem to find two unknown coefficients.drfrostmaths.com/explorer.php?ssid=1839
499A LevelExam Practice: The remainder theoremdrfrostmaths.com/explorer.php?ssid=4341E499
499aA LevelDetermine the remainder when a polynomial is divided by a linear expression.drfrostmaths.com/explorer.php?ssid=6105
499bA LevelUse the remainder theorem to find an unknown coefficient.drfrostmaths.com/explorer.php?ssid=6106
499cA LevelUse the remainder theorem to find two unknown coefficients.drfrostmaths.com/explorer.php?ssid=6107
500A LevelExam Practice: Solving cubic and quartic equations, or polynomials of higher degreedrfrostmaths.com/explorer.php?ssid=427https://www.youtube.com/embed/FEke3XrV1esE500
500aA LevelSolve cubic equations using the factor theorem, given one of the roots.drfrostmaths.com/explorer.php?ssid=6108
500bA LevelSolve cubic equations given in the form x^3 + bx^2 + cx = 0, solvable by factorisation.drfrostmaths.com/explorer.php?ssid=1688
500cA LevelSolve cubic equations given in the form ax^3 + bx^2 + cx = 0, solvable by factorisation.drfrostmaths.com/explorer.php?ssid=1689
501A Level, SecondaryExam Practice: Binomial expansion of (a + bx)^n where n is a positive integerdrfrostmaths.com/explorer.php?ssid=198E501
501aSecondary, A LevelExpand (x + b)^n, where n is a positive integer up to 6, using Pascal's triangle.drfrostmaths.com/explorer.php?ssid=1820
501bSecondary, A LevelExpand (x - b)^n, where n is a positive integer up to 6, using Pascal's triangle.drfrostmaths.com/explorer.php?ssid=1831
501cA Level, SecondaryExpand (ax \pm b)^n, where n is a positive integer.drfrostmaths.com/explorer.php?ssid=903K792
501dA Level, SecondaryFind 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
501eA Level, SecondaryDetermine the value of a coefficient in a binomial expansion with a positive integer power.drfrostmaths.com/explorer.php?ssid=904K793
501fA Level, SecondaryExpand (ax \pm b)^n for positive integers n, where b is fractional.drfrostmaths.com/explorer.php?ssid=1835
501gA Level, SecondaryExpand (a + bx)^n for positive integers n, where b is algebraic.drfrostmaths.com/explorer.php?ssid=1836
501hA Level, SecondaryUse a binomial expansion to reason about terms in the expansion of (a + bx)^n (c + dx)drfrostmaths.com/explorer.php?ssid=1847
501iA Level, SecondaryUse a binomial expansion to estimate the value of k^ndrfrostmaths.com/explorer.php?ssid=1872
501jSecondary, A LevelReason about the b and n in (a + bx)^n given known coefficients of terms in the binomial expansion.drfrostmaths.com/explorer.php?ssid=1885
501kSecondary, A LevelUse a relationship between the coefficients of terms in a binomial expansion to determine an unknown constant.drfrostmaths.com/explorer.php?ssid=1934
501lA Level, SecondaryReason 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
501mA Level, SecondaryExpand (ax+\frac{b}{x})^n, where n is a positive integer.drfrostmaths.com/explorer.php?ssid=6111
502Secondary, A LevelExam Practice: Constructing proofs involving \sin, \cos and \tan (excluding double angle formulae), and simplifying expressionsdrfrostmaths.com/explorer.php?ssid=213https://www.youtube.com/embed/i2T1t-G_93UE502
502aA Level, SecondaryDetermine exact values of \sin, \cos and \tan using another known trigonometric ratio, for acute angles.drfrostmaths.com/explorer.php?ssid=1108K800
502bSecondary, A LevelDetermine exact values of \sin, \cos and \tan using another known trigonometric ratio, for obtuse angles.drfrostmaths.com/explorer.php?ssid=6112
502cSecondary, A LevelProve that \sin^2 x + \cos^2 x \equiv 1drfrostmaths.com/explorer.php?ssid=6113
502dA Level, SecondarySwitch between \sin^2 and \cos^2 for expressions given in the form a \sin^2 bx or a \cos^2 bxdrfrostmaths.com/explorer.php?ssid=6114
502eSecondary, A LevelWrite an expression given in the form a \sin^2 x + b \cos^2 x in terms of just \sin or \cosdrfrostmaths.com/explorer.php?ssid=6115
502fSecondary, A LevelSimplify a trigonometric expression by splitting a fraction.drfrostmaths.com/explorer.php?ssid=6116
502gSecondary, A LevelProve that \tan x \equiv \frac{\sin x}{\cos x}drfrostmaths.com/explorer.php?ssid=6117
502hSecondary, A LevelSimplify 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
502iSecondary, A LevelSimplify a trigonometric expression involving \tan^2 x or \tan^3 xdrfrostmaths.com/explorer.php?ssid=2130
502jSecondary, A LevelDetermine exact values of \sin, \cos and \tan using another known trigonometric ratio in terms of an algebraic expression.drfrostmaths.com/explorer.php?ssid=6118
502kA Level, SecondarySimplify an algebraic fraction in terms of \sin and \cos using quadratic factorisation.drfrostmaths.com/explorer.php?ssid=6119
503A LevelExam Practice: Solving trigonometric equations, involving \sin, \cos and \tan, in an interval in degreesdrfrostmaths.com/explorer.php?ssid=207https://www.youtube.com/embed/U3MKPIzoC7IE503
503aA LevelSolve a trigonometric equation given in the form \sin x = k where x is in degrees.drfrostmaths.com/explorer.php?ssid=874K796
503bA LevelSolve a trigonometric equation given in the form \sin(ax) = k where x is in degrees.drfrostmaths.com/explorer.php?ssid=6120
503cA LevelState 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
503dA LevelSolve 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=875K797
503eA LevelSolve 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
503fA LevelSolve trigonometric equations given in the form \sin^2 x=a where x is in degrees.drfrostmaths.com/explorer.php?ssid=1624
503gA LevelSolve a trigonometric equation in terms of \sin(ax) involving a fraction.drfrostmaths.com/explorer.php?ssid=6123
503hA LevelDetermine the value of \tan x given an equation in the form p\sin(x) = q\cos(x)drfrostmaths.com/explorer.php?ssid=6124
503iA LevelSolve a trigonometric equation given in the form p\sin (ax+b) = q\cos (ax+b)drfrostmaths.com/explorer.php?ssid=1685
503jA LevelSolve a quadratic equation involving a single trigonometric function.drfrostmaths.com/explorer.php?ssid=892K798
503kA LevelSolve a trigonometric equation involving a mixture of \sin and \cos where one is squared.drfrostmaths.com/explorer.php?ssid=893K799
503lA LevelSolve a trigonometric equation involving \tan and either \sin or \cosdrfrostmaths.com/explorer.php?ssid=6125
503mA LevelDetermine the constants in y = \sin(ax + b) given its roots on the graph.drfrostmaths.com/explorer.php?ssid=6126
503nA LevelSolve a trigonometric equation from a modelled scenario.drfrostmaths.com/explorer.php?ssid=6127
504A LevelExam Practice: Writing vectors in terms of unit vectorsdrfrostmaths.com/explorer.php?ssid=4342E504
504aA LevelWrite a column vector in \textbf{i}-\textbf{j}-\textbf{k} form.drfrostmaths.com/explorer.php?ssid=6128
504bA LevelWrite a vector in \textbf{i}-\textbf{j}-\textbf{k} form as a column vector.drfrostmaths.com/explorer.php?ssid=6129
504cA LevelAdd and subtract vectors written in \textbf{i}-\textbf{j}-\textbf{k} form.drfrostmaths.com/explorer.php?ssid=6130
504dA LevelCalculate the magnitude of a 2D vector written in \textbf{i}-\textbf{j} form.drfrostmaths.com/explorer.php?ssid=944K801
504eA LevelCalculate the magnitude of a 3D vector written in \textbf{i}-\textbf{j}-\textbf{k} form.drfrostmaths.com/explorer.php?ssid=6131
504fA LevelConvert 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
505A LevelExam Practice: Position vectors and the distance between two points from their position vectorsdrfrostmaths.com/explorer.php?ssid=269E505
505aA LevelDetermine a 2D or 3D position vector given another position vector and the vector between them.drfrostmaths.com/explorer.php?ssid=946K803
505bA LevelDetermine the vector between two 2D or 3D position vectors.drfrostmaths.com/explorer.php?ssid=1728
505cA LevelCalculate the distance between two 2D or 3D position vectors.drfrostmaths.com/explorer.php?ssid=1730
506A LevelExam Practice: Trigonometry involving vectorsdrfrostmaths.com/explorer.php?ssid=545E506
506aA LevelDetermine the angle between a vector and the x or y axis.drfrostmaths.com/explorer.php?ssid=945K802
506bA LevelGiven two vectors in magnitude and direction form, determine the magnitude and direction of their sum.drfrostmaths.com/explorer.php?ssid=6132
507A LevelExam Practice: Limit notation and limiting values from graphs or tablesdrfrostmaths.com/explorer.php?ssid=443E507
507aA LevelDetermine a limit from a graph.drfrostmaths.com/explorer.php?ssid=6133
507bA LevelDetermine a one-sided limit using a graph (excluding asymptotes).drfrostmaths.com/explorer.php?ssid=6134
507cA LevelDetermine a one-sided limit involving an asymptote.drfrostmaths.com/explorer.php?ssid=6135
507dA LevelEstimate a limit from a table of values.drfrostmaths.com/explorer.php?ssid=6136
507eA LevelEstimate a one-sided limit from a table of values.drfrostmaths.com/explorer.php?ssid=6137
507fA LevelDetermine the limit of a function by direct substitution into the function, including where the value is unbounded.drfrostmaths.com/explorer.php?ssid=6138
507gA LevelDetermine limits of trigonometric functions for a given value (in degrees) by substitution.drfrostmaths.com/explorer.php?ssid=6139
507hA LevelDetermine the limit for a continuous piecewise function by substitution.drfrostmaths.com/explorer.php?ssid=6140
508Exam Practice: Counting problemsdrfrostmaths.com/explorer.php?ssid=297E508
508A LevelExam Practice: Combining limits using graphsdrfrostmaths.com/explorer.php?ssid=4343E508
508aA LevelDetermine the limit of a product of two functions given the graphs of each.drfrostmaths.com/explorer.php?ssid=6141
508bA LevelDetermine the limit of a division of two functions given the graphs of each.drfrostmaths.com/explorer.php?ssid=6142
508cA LevelDetermine the limit of a composite function f(g(x)) where the limit of each function exists.drfrostmaths.com/explorer.php?ssid=6143
508dA LevelDetermine 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
508eA LevelDetermine 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
509A LevelExam Practice: Determining limits for a finite value using algebraic manipulationdrfrostmaths.com/explorer.php?ssid=4344E509
509aA LevelKnow 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
509bA LevelDetermine a limit of an indeterminate form \frac{0}{0} by simplifying an algebraic fraction.drfrostmaths.com/explorer.php?ssid=6147
509cA LevelDetermine a limit of an indeterminate form \frac{0}{0} by rationalising a denominator of a fraction.drfrostmaths.com/explorer.php?ssid=6148
509dA LevelDetermine a limit of an indeterminate form \frac{0}{0} where a surd occurs in the numerator.drfrostmaths.com/explorer.php?ssid=6149
510A LevelExam Practice: Unbounded limits and determining limits to infinity (including limiting values of sequences)drfrostmaths.com/explorer.php?ssid=4345E510
510aA LevelDetermine a one-ended limit corresponding to a vertical asymptote.drfrostmaths.com/explorer.php?ssid=6150
510bA LevelDetermine the limit to \pm\infty/end behaviour given the graph of a function.drfrostmaths.com/explorer.php?ssid=6151
510cA LevelDetermine the limit