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OCR GCSE Maths Revision Checklist

All 115 topics in the OCR GCSE Mathematics (J560) course, in order, with the grade each topic usually appears at in the exam. Rate each topic online, or download the PDF and tick it on paper. Free, with no sign-up.

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Your Exam at a Glance

OCR GCSE Mathematics

Your child sits one tier: Foundation (the easier papers, grades 1 to 5) or Higher (the harder papers, grades 4 to 9). The school decides which. Foundation students sit Papers 1, 2 and 3. Higher students sit Papers 4, 5 and 6. The non-calculator paper is the middle one. Each paper is worth one third of the final grade. A formulae sheet is provided in every paper.

Foundation Tier · Grades 1–5

Paper 1Calculator1h 30m · 100 marks
Paper 2Non-Calculator1h 30m · 100 marks
Paper 3Calculator1h 30m · 100 marks

Higher Tier · Grades 4–9

Paper 4Calculator1h 30m · 100 marks
Paper 5Non-Calculator1h 30m · 100 marks
Paper 6Calculator1h 30m · 100 marks
Foundation TierGrades 1–5 · 79 topics
Higher TierGrades 4–9 · all 115 topics
Use the checklist online ↓
Interactive Checklist

How Confident Are You With Each Topic?

Next to each topic, tap Not Yet, Nearly or Confident. Your answers are saved on this phone or computer only, so use the same one each time and come back to update them every few weeks. Not Yet topics are the ones to revise first.

0 Confident0 Nearly0 Not Yet115 Not Rated Yet
The number next to each topic is the grade it usually appears at in the exam. The colour shows the grade range:Grades 1–3Grades 4–5Grades 6–7Grades 8–9AllOn both Foundation and Higher papersHigherOn Higher papers only

Number

20 topics
  1. 1
    Place Value and OrderingOrdering integers, decimals and negative numbers; using <, >, ≤ and ≥
    All1
  2. 2
    The Four OperationsWritten methods for adding, subtracting, multiplying and dividing, including negatives and decimals
    All1
  3. 3
    Factors, Multiples and PrimesFinding factors, multiples and prime numbers
    All1
  4. 4
    Order of OperationsUsing BIDMAS correctly, including with powers and brackets
    All2
  5. 5
    Squares, Cubes and RootsSquare numbers, cube numbers, square roots and cube roots
    All2
  6. 6
    Fractions: Equivalence and OrderingSimplifying, comparing and ordering fractions
    All2
  7. 7
    Fractions, Decimals and PercentagesConverting between the three and putting them in order
    All2
  8. 8
    RoundingRounding to the nearest whole number, decimal places and significant figures
    All2
  9. 9
    Calculating With FractionsAdding, subtracting, multiplying and dividing fractions and mixed numbers
    All3
  10. 10
    Prime Factors, HCF and LCMWriting a number as a product of primes; using it to find the HCF and LCM
    All3
  11. 11
    EstimationEstimating answers by rounding to 1 significant figure
    All3
  12. 12
    Laws of IndicesMultiplying and dividing powers, powers of powers, zero and negative indices
    All4
  13. 13
    Standard FormWriting and calculating with very large and very small numbers
    All4
  14. 14
    Error IntervalsError intervals for rounding and truncation, using inequalities
    All4
  15. 15
    Systematic Listing and the Product RuleListing outcomes and counting combinations with the product rule
    All5
  16. 16
    Fractional IndicesEvaluating powers such as 272/3 and 16−1/2
    Higher7
  17. 17
    Recurring Decimals to FractionsConverting a recurring decimal into an exact fraction
    Higher7
  18. 18
    Upper and Lower BoundsUsing bounds in calculations to find the maximum and minimum answer
    Higher7
  19. 19
    Simplifying SurdsSimplifying surds and expanding brackets that contain surds
    Higher7
  20. 20
    Rationalising the DenominatorRemoving a surd from the denominator of a fraction
    Higher8

Algebra

37 topics
  1. 21
    Coordinates and MidpointsPlotting points in all four quadrants and finding the midpoint of a line
    All2
  2. 22
    Algebraic Notation and SimplifyingWriting expressions and collecting like terms
    All2
  3. 23
    SubstitutionSubstituting numbers into expressions and formulae
    All2
  4. 24
    Expressions, Equations, Formulae and IdentitiesKnowing the difference between each one, including the ≡ sign
    All3
  5. 25
    Expanding and Factorising Single BracketsMultiplying out a bracket and taking out a common factor
    All3
  6. 26
    Linear Sequences and the nth TermTerm-to-term rules and finding the nth term of a linear sequence
    All3
  7. 27
    Real-Life and Distance-Time GraphsReading and interpreting graphs of real situations
    All3
  8. 28
    Solving Linear EquationsIncluding brackets, fractions and unknowns on both sides
    All4
  9. 29
    Forming and Solving EquationsWriting an equation from a worded problem or diagram and solving it
    All4
  10. 30
    Expanding Double BracketsMultiplying out two brackets, such as (x + 3)(x − 5)
    All4
  11. 31
    Rearranging FormulaeChanging the subject of a formula
    All4
  12. 32
    Linear InequalitiesSolving inequalities and showing the answer on a number line
    All4
  13. 33
    Straight-Line GraphsPlotting y = mx + c and finding the gradient and y-intercept
    All4
  14. 34
    Other SequencesRecognising Fibonacci-type, quadratic and simple geometric sequences
    All4
  15. 35
    Equations of Straight LinesFinding the equation of a line through two points; parallel lines
    All5
  16. 36
    Factorising QuadraticsFactorising x² + bx + c, including the difference of two squares
    All5
  17. 37
    Solving Quadratics by FactorisingSolving quadratic equations equal to zero
    All5
  18. 38
    Quadratic GraphsPlotting quadratic graphs and finding roots and turning points
    All5
  19. 39
    Cubic and Reciprocal GraphsRecognising and sketching cubic and reciprocal graphs
    All5
  20. 40
    Simultaneous Linear EquationsSolving algebraically and graphically
    All5
  21. 41
    Expanding Triple BracketsMultiplying out three brackets to get a cubic expression
    Higher6
  22. 42
    The Quadratic FormulaSolving quadratics that do not factorise
    Higher6
  23. 43
    Factorising Harder QuadraticsFactorising ax² + bx + c where a is not 1
    Higher7
  24. 44
    Completing the SquareWriting a quadratic in completed square form and finding the turning point
    Higher7
  25. 45
    Perpendicular LinesUsing gradients to find the equation of a perpendicular line
    Higher7
  26. 46
    Rearranging Harder FormulaeChanging the subject when it appears more than once
    Higher7
  27. 47
    nth Term of Quadratic SequencesFinding the nth term of a quadratic sequence
    Higher7
  28. 48
    Simultaneous Equations With a QuadraticSolving a linear and a quadratic equation together
    Higher7
  29. 49
    Exponential and Trigonometric GraphsRecognising and sketching y = kˣ, y = sin x, y = cos x and y = tan x
    Higher7
  30. 50
    FunctionsFunction notation, composite functions and inverse functions
    Higher7
  31. 51
    IterationUsing iteration to find approximate solutions to equations
    Higher7
  32. 52
    Algebraic ProofProving statements using algebra, including "show that" questions
    Higher7
  33. 53
    Quadratic InequalitiesSolving quadratic inequalities and showing the solution set
    Higher8
  34. 54
    Algebraic FractionsSimplifying, adding, subtracting and solving with algebraic fractions
    Higher8
  35. 55
    Graph TransformationsTranslations and reflections of y = f(x)
    Higher8
  36. 56
    Equation of a Circle and TangentsUsing x² + y² = r² and finding the equation of a tangent
    Higher8
  37. 57
    Gradients and Areas Under GraphsEstimating gradients of curves and areas under graphs, and interpreting them
    Higher8

Ratio, Proportion and Rates of Change

13 topics
  1. 58
    Ratio BasicsWriting and simplifying ratios and sharing an amount in a ratio
    All3
  2. 59
    Percentages of AmountsFinding percentages and increasing or decreasing by a percentage
    All3
  3. 60
    Direct Proportion and Best BuysRecipes, unit pricing and value for money
    All3
  4. 61
    Scale Drawings and MapsUsing scales and scale factors to find real lengths
    All3
  5. 62
    Ratio ProblemsLinking ratios to fractions and solving harder ratio problems
    All4
  6. 63
    Simple InterestCalculating simple interest over several years
    All4
  7. 64
    Unit ConversionsConverting units of length, mass, time, money, area and volume
    All4
  8. 65
    Percentage Change and Reverse PercentagesFinding a percentage change and the original amount
    All5
  9. 66
    Compound Interest, Growth and DecayRepeated percentage change, including depreciation
    All5
  10. 67
    Compound MeasuresSpeed, density and pressure
    All5
  11. 68
    Direct and Inverse ProportionRecognising proportion from tables, graphs and context
    All5
  12. 69
    Proportion With EquationsForming equations such as y = kx² and y = k ÷ x
    Higher7
  13. 70
    Rates of ChangeInterpreting gradient as a rate of change; average and instantaneous rates
    Higher8

Geometry and Measures

29 topics
  1. 71
    Angle FactsAngles at a point, on a straight line, in triangles and vertically opposite
    All2
  2. 72
    Properties of 2D ShapesProperties of triangles and quadrilaterals; line and rotational symmetry
    All2
  3. 73
    Perimeter and AreaRectangles, triangles, parallelograms, trapezia and compound shapes
    All3
  4. 74
    3D Shapes, Plans and ElevationsFaces, edges, vertices, nets, plans and elevations
    All3
  5. 75
    Reflection, Rotation and TranslationPerforming and describing these transformations
    All3
  6. 76
    Angles in Parallel LinesAlternate, corresponding and co-interior angles, with reasons
    All4
  7. 77
    Angles in PolygonsInterior and exterior angles of regular and irregular polygons
    All4
  8. 78
    Circles: Circumference and AreaUsing π to find the circumference and area of a circle
    All4
  9. 79
    Volume and Surface Area of PrismsCuboids, prisms and cylinders
    All4
  10. 80
    Pythagoras' TheoremFinding a missing side in a right-angled triangle
    All4
  11. 81
    Arcs and SectorsFinding arc lengths and sector areas
    All5
  12. 82
    EnlargementEnlarging shapes by positive and fractional scale factors from a centre
    All5
  13. 83
    Constructions and LociBisectors, perpendiculars and regions that meet given rules
    All5
  14. 84
    BearingsMeasuring and calculating three-figure bearings
    All5
  15. 85
    Trigonometry: SOH CAH TOAFinding missing sides and angles in right-angled triangles
    All5
  16. 86
    Exact Trigonometric ValuesSin and cos of 0°, 30°, 45°, 60° and 90°, and tan of 0°, 30°, 45° and 60°
    All5
  17. 87
    Congruent TrianglesConditions for congruence: SSS, SAS, ASA and RHS
    All5
  18. 88
    Similar ShapesFinding missing lengths in similar shapes
    All5
  19. 89
    VectorsColumn vectors; adding, subtracting and multiplying by a scalar
    All5
  20. 90
    Spheres, Cones and PyramidsVolume and surface area of spheres, cones and pyramids
    All6
  21. 91
    Congruence ProofsProving that two triangles are congruent
    Higher6
  22. 92
    Sine Rule and Cosine RuleFinding sides and angles in any triangle
    Higher7
  23. 93
    Area of a Triangle Using ½ab sin CFinding the area of any triangle using trigonometry
    Higher7
  24. 94
    3D Pythagoras and TrigonometryLengths and angles in cuboids, pyramids and other 3D shapes
    Higher7
  25. 95
    Circle TheoremsApplying the circle theorems, with reasons
    Higher7
  26. 96
    Similar Areas and VolumesUsing length, area and volume scale factors
    Higher7
  27. 97
    Negative Scale Factors and Combined TransformationsEnlargement by a negative scale factor; describing combined transformations
    Higher7
  28. 98
    Frustums and Composite SolidsVolume and surface area of frustums and shapes made from several solids
    Higher7
  29. 99
    Vector ProofUsing vectors to prove geometric results, such as parallel lines
    Higher8

Probability

7 topics
  1. 100
    Basic ProbabilityThe probability scale and probabilities that add up to 1
    All2
  2. 101
    Sample Spaces and Listing OutcomesListing all outcomes using tables and sample space diagrams
    All3
  3. 102
    Two-Way Tables and Frequency TreesOrganising information and finding probabilities from it
    All3
  4. 103
    Relative Frequency and Expected OutcomesUsing experiments to estimate probability and predict results
    All4
  5. 104
    Venn Diagrams and Set NotationUsing Venn diagrams and notation such as A ∩ B and A ∪ B
    All5
  6. 105
    Tree DiagramsProbabilities of combined independent events
    All5
  7. 106
    Conditional ProbabilityDependent events using tree diagrams, Venn diagrams and two-way tables
    Higher7

Statistics

9 topics
  1. 107
    Mean, Median, Mode and RangeFinding averages and the range from a list of data
    All2
  2. 108
    Charts and DiagramsBar charts, pictograms, vertical line charts and pie charts
    All3
  3. 109
    Time SeriesPlotting and interpreting time series graphs
    All3
  4. 110
    Sampling and BiasPopulations, samples and how to avoid bias
    All4
  5. 111
    Averages From Frequency TablesIncluding an estimated mean from grouped data
    All4
  6. 112
    Scatter Graphs and CorrelationLines of best fit, correlation and outliers
    All4
  7. 113
    Comparing DistributionsComparing data sets using an average and a measure of spread
    All4
  8. 114
    Cumulative Frequency and Box PlotsDrawing and interpreting them, including the interquartile range
    Higher6
  9. 115
    HistogramsDrawing and interpreting histograms using frequency density
    Higher7

Grades show the typical level at which each topic appears in exam questions. They're a guide, not an official exam board grading. Topics are the same for every GCSE exam board in England, set by the Department for Education.

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Checklists for Every GCSE Board

AQA GCSEAQA GCSE Mathematics · 8300Edexcel GCSEPearson Edexcel GCSE Mathematics · 1MA1Eduqas GCSEWJEC Eduqas GCSE Mathematics · C300All ChecklistsGCSE, IGCSE and A Level
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