Free Revision Checklist
Edexcel A Level Maths Revision Checklist
All 66 topics in the Pearson Edexcel A Level Mathematics (9MA0) course, from pure maths (algebra, graphs, trigonometry and calculus) to statistics and mechanics (the maths of forces and motion), marked Year 12 or Year 13. Rate each topic online, or download the PDF and tick it on paper. Free, with no sign-up.
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Pearson Edexcel A Level Mathematics
Every student sits all three papers at the end of Year 13. Paper 3 is half statistics and half mechanics. Each paper is worth one third of the final grade. A formulae booklet is provided in every paper, and a calculator is allowed.
Paper 1Pure Mathematics 12h · 100 marks
Paper 2Pure Mathematics 22h · 100 marks
Paper 3Statistics and Mechanics2h · 100 marks
Year 1232 topics
Year 1334 more topics, with all the exams at the end of Year 13
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.
Year 12Usually taught in Year 12Year 13Usually taught in Year 13
Proof and AlgebraPapers 1 and 2
10 topics- 1
ProofProof by deduction, by exhaustion and disproof by counter-example
- 2
Indices and SurdsLaws of indices and manipulating surds
- 3
QuadraticsThe discriminant, completing the square and quadratic graphs
- 4
Simultaneous EquationsLinear and quadratic simultaneous equations
- 5
InequalitiesLinear and quadratic inequalities, including regions on a graph
- 6
PolynomialsAlgebraic division and the factor theorem
- 7
Graphs and TransformationsCubic and reciprocal graphs and transformations of y = f(x)
- 8
Proof by ContradictionIncluding proofs of the irrationality of √2 and the infinity of primes
- 9
Partial FractionsSplitting rational expressions into partial fractions
- 10
FunctionsDomain, range, composite and inverse functions and the modulus function
Coordinate GeometryPapers 1 and 2
3 topics- 11
Straight LinesEquations of lines, parallel and perpendicular lines
- 12
CirclesEquations of circles, tangents and chords
- 13
Parametric EquationsConverting between parametric and Cartesian forms and modelling with them
Sequences and SeriesPapers 1 and 2
4 topics- 14
Binomial ExpansionExpanding (a + b)ⁿ for positive whole numbers n
- 15
Arithmetic and Geometric Sequencesnth terms, sums, sum to infinity and sigma notation
- 16
Recurrence RelationsSequences defined by recurrence, including increasing, decreasing and periodic sequences
- 17
General Binomial ExpansionExpanding (1 + x)ⁿ for any rational n, and its validity
TrigonometryPapers 1 and 2
7 topics- 18
Sine Rule, Cosine Rule and AreaSolving any triangle and finding its area
- 19
Trigonometric Graphs and EquationsGraphs, identities such as sin²θ + cos²θ = 1, and solving equations
- 20
RadiansRadian measure, arc length, sector area and small-angle approximations
- 21
Reciprocal and Inverse Trigonometric Functionssec, cosec, cot, arcsin, arccos and arctan
- 22
Compound and Double Angle FormulaeUsing the addition and double angle formulae
- 23
R cos(θ ± α) FormWriting a cos θ + b sin θ in a single form
- 24
Trigonometric Proof and ModellingProving identities and solving harder equations
Exponentials and LogarithmsPapers 1 and 2
3 topics- 25
Exponential FunctionsGraphs of y = aˣ and y = eˣ
- 26
Laws of LogarithmsUsing the laws of logs and solving equations such as aˣ = b
- 27
Exponential ModellingGrowth and decay models and using logs to find straight-line forms
DifferentiationPapers 1 and 2
8 topics- 28
Differentiation From First PrinciplesUnderstanding the derivative as a limit
- 29
Differentiating Powers of xGradients, tangents and normals
- 30
Stationary PointsMaximum and minimum points, increasing and decreasing functions
- 31
Second DerivativesPoints of inflection and concavity
- 32
Chain, Product and Quotient RulesDifferentiating composite functions, products and quotients
- 33
Differentiating Exponentials, Logs and TrigDerivatives of eᵏˣ, aᵏˣ, ln x, sin x, cos x and tan x
- 34
Implicit and Parametric DifferentiationDifferentiating curves defined implicitly or parametrically
- 35
Connected Rates of ChangeForming and using rates of change
IntegrationPapers 1 and 2
7 topics- 36
Integrating Powers of xIndefinite and definite integrals
- 37
Area Under a CurveUsing definite integrals to find areas
- 38
Integrating Standard FunctionsIntegrating eˣ, 1/x, sin x and cos x
- 39
Integration by Substitution and by PartsChoosing and using the right method
- 40
Integration Using Partial FractionsIntegrating rational functions
- 41
Areas Between CurvesAreas between two curves, or a curve and a line
- 42
Differential EquationsForming and solving first-order separable differential equations
Numerical Methods and VectorsPapers 1 and 2
5 topics- 43
Vectors in Two DimensionsMagnitude, direction, position vectors and geometric problems
- 44
Vectors in Three DimensionsUsing vectors in 3D
- 45
Locating RootsUsing a change of sign to find an interval containing a root
- 46
Iteration and Newton-RaphsonFinding approximate roots and knowing when methods fail
- 47
The Trapezium RuleEstimating areas under curves
StatisticsPaper 3
11 topics- 48
SamplingPopulations, samples and sampling methods
- 49
Data Presentation and InterpretationHistograms, box plots, cumulative frequency, outliers and correlation
- 50
Measures of Location and SpreadMean, median, variance, standard deviation and coding
- 51
The Large Data SetGetting to know your exam board's Large Data Set: real data published in advance, which exam questions expect students to know
- 52
ProbabilityVenn diagrams, mutually exclusive and independent events
- 53
The Binomial DistributionModelling with the binomial distribution and calculating probabilities
- 54
Hypothesis Testing With the BinomialOne-tailed and two-tailed tests and critical regions
- 55
Conditional ProbabilityUsing Venn diagrams, tree diagrams and two-way tables
- 56
The Normal DistributionCalculating probabilities and using it as an approximation to the binomial
- 57
Hypothesis Testing With the NormalTesting the mean of a normal distribution
- 58
Correlation Hypothesis TestsTesting for correlation using the product moment correlation coefficient
MechanicsPaper 3
8 topics- 59
Quantities, Units and ModellingSI units and modelling assumptions
- 60
Kinematics With Constant AccelerationMotion graphs and the suvat equations, including vertical motion under gravity
- 61
Kinematics With CalculusVariable acceleration using differentiation and integration
- 62
Forces and Newton's LawsResultant forces, connected particles and pulleys
- 63
MomentsMoments of forces, including rigid bodies in equilibrium
- 64
Resolving Forces and FrictionForces at angles, inclined planes and the friction model F ≤ μR
- 65
ProjectilesMotion of a projectile under gravity
- 66
Kinematics in Two DimensionsUsing vectors and calculus for motion in a plane
Year 12 and Year 13 labels show when topics are usually taught; some schools teach them in a different order. The core A Level Maths content is the same for every exam board in England.
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