Free Revision Checklist
AQA GCSE Maths Revision Checklist
All 115 topics in the AQA GCSE Mathematics (8300) 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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AQA 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. Each tier has three papers, all sat at the end of Year 11. Each paper is worth one third of the final grade. A formulae sheet is provided in every paper.
Paper 1Non-Calculator1h 30m · 80 marks
Paper 2Calculator1h 30m · 80 marks
Paper 3Calculator1h 30m · 80 marks
Foundation TierGrades 1–5 · 79 topics
Higher TierGrades 4–9 · all 115 topics
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.
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
Place Value and OrderingOrdering integers, decimals and negative numbers; using <, >, ≤ and ≥
- 2
The Four OperationsWritten methods for adding, subtracting, multiplying and dividing, including negatives and decimals
- 3
Factors, Multiples and PrimesFinding factors, multiples and prime numbers
- 4
Order of OperationsUsing BIDMAS correctly, including with powers and brackets
- 5
Squares, Cubes and RootsSquare numbers, cube numbers, square roots and cube roots
- 6
Fractions: Equivalence and OrderingSimplifying, comparing and ordering fractions
- 7
Fractions, Decimals and PercentagesConverting between the three and putting them in order
- 8
RoundingRounding to the nearest whole number, decimal places and significant figures
- 9
Calculating With FractionsAdding, subtracting, multiplying and dividing fractions and mixed numbers
- 10
Prime Factors, HCF and LCMWriting a number as a product of primes; using it to find the HCF and LCM
- 11
EstimationEstimating answers by rounding to 1 significant figure
- 12
Laws of IndicesMultiplying and dividing powers, powers of powers, zero and negative indices
- 13
Standard FormWriting and calculating with very large and very small numbers
- 14
Error IntervalsError intervals for rounding and truncation, using inequalities
- 15
Systematic Listing and the Product RuleListing outcomes and counting combinations with the product rule
- 16
Fractional IndicesEvaluating powers such as 272/3 and 16−1/2
- 17
Recurring Decimals to FractionsConverting a recurring decimal into an exact fraction
- 18
Upper and Lower BoundsUsing bounds in calculations to find the maximum and minimum answer
- 19
Simplifying SurdsSimplifying surds and expanding brackets that contain surds
- 20
Rationalising the DenominatorRemoving a surd from the denominator of a fraction
Algebra
37 topics- 21
Coordinates and MidpointsPlotting points in all four quadrants and finding the midpoint of a line
- 22
Algebraic Notation and SimplifyingWriting expressions and collecting like terms
- 23
SubstitutionSubstituting numbers into expressions and formulae
- 24
Expressions, Equations, Formulae and IdentitiesKnowing the difference between each one, including the ≡ sign
- 25
Expanding and Factorising Single BracketsMultiplying out a bracket and taking out a common factor
- 26
Linear Sequences and the nth TermTerm-to-term rules and finding the nth term of a linear sequence
- 27
Real-Life and Distance-Time GraphsReading and interpreting graphs of real situations
- 28
Solving Linear EquationsIncluding brackets, fractions and unknowns on both sides
- 29
Forming and Solving EquationsWriting an equation from a worded problem or diagram and solving it
- 30
Expanding Double BracketsMultiplying out two brackets, such as (x + 3)(x − 5)
- 31
Rearranging FormulaeChanging the subject of a formula
- 32
Linear InequalitiesSolving inequalities and showing the answer on a number line
- 33
Straight-Line GraphsPlotting y = mx + c and finding the gradient and y-intercept
- 34
Other SequencesRecognising Fibonacci-type, quadratic and simple geometric sequences
- 35
Equations of Straight LinesFinding the equation of a line through two points; parallel lines
- 36
Factorising QuadraticsFactorising x² + bx + c, including the difference of two squares
- 37
Solving Quadratics by FactorisingSolving quadratic equations equal to zero
- 38
Quadratic GraphsPlotting quadratic graphs and finding roots and turning points
- 39
Cubic and Reciprocal GraphsRecognising and sketching cubic and reciprocal graphs
- 40
Simultaneous Linear EquationsSolving algebraically and graphically
- 41
Expanding Triple BracketsMultiplying out three brackets to get a cubic expression
- 42
The Quadratic FormulaSolving quadratics that do not factorise
- 43
Factorising Harder QuadraticsFactorising ax² + bx + c where a is not 1
- 44
Completing the SquareWriting a quadratic in completed square form and finding the turning point
- 45
Perpendicular LinesUsing gradients to find the equation of a perpendicular line
- 46
Rearranging Harder FormulaeChanging the subject when it appears more than once
- 47
nth Term of Quadratic SequencesFinding the nth term of a quadratic sequence
- 48
Simultaneous Equations With a QuadraticSolving a linear and a quadratic equation together
- 49
Exponential and Trigonometric GraphsRecognising and sketching y = kˣ, y = sin x, y = cos x and y = tan x
- 50
FunctionsFunction notation, composite functions and inverse functions
- 51
IterationUsing iteration to find approximate solutions to equations
- 52
Algebraic ProofProving statements using algebra, including "show that" questions
- 53
Quadratic InequalitiesSolving quadratic inequalities and showing the solution set
- 54
Algebraic FractionsSimplifying, adding, subtracting and solving with algebraic fractions
- 55
Graph TransformationsTranslations and reflections of y = f(x)
- 56
Equation of a Circle and TangentsUsing x² + y² = r² and finding the equation of a tangent
- 57
Gradients and Areas Under GraphsEstimating gradients of curves and areas under graphs, and interpreting them
Ratio, Proportion and Rates of Change
13 topics- 58
Ratio BasicsWriting and simplifying ratios and sharing an amount in a ratio
- 59
Percentages of AmountsFinding percentages and increasing or decreasing by a percentage
- 60
Direct Proportion and Best BuysRecipes, unit pricing and value for money
- 61
Scale Drawings and MapsUsing scales and scale factors to find real lengths
- 62
Ratio ProblemsLinking ratios to fractions and solving harder ratio problems
- 63
Simple InterestCalculating simple interest over several years
- 64
Unit ConversionsConverting units of length, mass, time, money, area and volume
- 65
Percentage Change and Reverse PercentagesFinding a percentage change and the original amount
- 66
Compound Interest, Growth and DecayRepeated percentage change, including depreciation
- 67
Compound MeasuresSpeed, density and pressure
- 68
Direct and Inverse ProportionRecognising proportion from tables, graphs and context
- 69
Proportion With EquationsForming equations such as y = kx² and y = k ÷ x
- 70
Rates of ChangeInterpreting gradient as a rate of change; average and instantaneous rates
Geometry and Measures
29 topics- 71
Angle FactsAngles at a point, on a straight line, in triangles and vertically opposite
- 72
Properties of 2D ShapesProperties of triangles and quadrilaterals; line and rotational symmetry
- 73
Perimeter and AreaRectangles, triangles, parallelograms, trapezia and compound shapes
- 74
3D Shapes, Plans and ElevationsFaces, edges, vertices, nets, plans and elevations
- 75
Reflection, Rotation and TranslationPerforming and describing these transformations
- 76
Angles in Parallel LinesAlternate, corresponding and co-interior angles, with reasons
- 77
Angles in PolygonsInterior and exterior angles of regular and irregular polygons
- 78
Circles: Circumference and AreaUsing π to find the circumference and area of a circle
- 79
Volume and Surface Area of PrismsCuboids, prisms and cylinders
- 80
Pythagoras' TheoremFinding a missing side in a right-angled triangle
- 81
Arcs and SectorsFinding arc lengths and sector areas
- 82
EnlargementEnlarging shapes by positive and fractional scale factors from a centre
- 83
Constructions and LociBisectors, perpendiculars and regions that meet given rules
- 84
BearingsMeasuring and calculating three-figure bearings
- 85
Trigonometry: SOH CAH TOAFinding missing sides and angles in right-angled triangles
- 86
Exact Trigonometric ValuesSin and cos of 0°, 30°, 45°, 60° and 90°, and tan of 0°, 30°, 45° and 60°
- 87
Congruent TrianglesConditions for congruence: SSS, SAS, ASA and RHS
- 88
Similar ShapesFinding missing lengths in similar shapes
- 89
VectorsColumn vectors; adding, subtracting and multiplying by a scalar
- 90
Spheres, Cones and PyramidsVolume and surface area of spheres, cones and pyramids
- 91
Congruence ProofsProving that two triangles are congruent
- 92
Sine Rule and Cosine RuleFinding sides and angles in any triangle
- 93
Area of a Triangle Using ½ab sin CFinding the area of any triangle using trigonometry
- 94
3D Pythagoras and TrigonometryLengths and angles in cuboids, pyramids and other 3D shapes
- 95
Circle TheoremsApplying the circle theorems, with reasons
- 96
Similar Areas and VolumesUsing length, area and volume scale factors
- 97
Negative Scale Factors and Combined TransformationsEnlargement by a negative scale factor; describing combined transformations
- 98
Frustums and Composite SolidsVolume and surface area of frustums and shapes made from several solids
- 99
Vector ProofUsing vectors to prove geometric results, such as parallel lines
Probability
7 topics- 100
Basic ProbabilityThe probability scale and probabilities that add up to 1
- 101
Sample Spaces and Listing OutcomesListing all outcomes using tables and sample space diagrams
- 102
Two-Way Tables and Frequency TreesOrganising information and finding probabilities from it
- 103
Relative Frequency and Expected OutcomesUsing experiments to estimate probability and predict results
- 104
Venn Diagrams and Set NotationUsing Venn diagrams and notation such as A ∩ B and A ∪ B
- 105
Tree DiagramsProbabilities of combined independent events
- 106
Conditional ProbabilityDependent events using tree diagrams, Venn diagrams and two-way tables
Statistics
9 topics- 107
Mean, Median, Mode and RangeFinding averages and the range from a list of data
- 108
Charts and DiagramsBar charts, pictograms, vertical line charts and pie charts
- 109
Time SeriesPlotting and interpreting time series graphs
- 110
Sampling and BiasPopulations, samples and how to avoid bias
- 111
Averages From Frequency TablesIncluding an estimated mean from grouped data
- 112
Scatter Graphs and CorrelationLines of best fit, correlation and outliers
- 113
Comparing DistributionsComparing data sets using an average and a measure of spread
- 114
Cumulative Frequency and Box PlotsDrawing and interpreting them, including the interquartile range
- 115
HistogramsDrawing and interpreting histograms using frequency density
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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