WJEC A Level Maths exam questions and past papers

Free WJEC A Level Maths exam questions by topic, with mark schemes, past papers and model answers.

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How to use the exam questions

Pick a topic and work through as many questions as you need until it really clicks. Spend extra time on the topics you find hardest, as that is where the biggest improvements come from. Each file includes the mark scheme, so check every answer as you go, see where you lost marks and learn exactly what a full-mark answer looks like.

WJEC A Level Maths exam questions by topic

Every topic on the WJEC A Level Maths specification, grouped by paper. Each pack has full model answers.

Unit 1: Pure Mathematics A (AS)

1.1 ProofDeduction, exhaustion, counterexample Questions Model answers

1.2 Algebra and ExpressionsIndices and surds, expanding/factorising, quadratics & completing the square, polynomial division & factor theorem (cubics) Questions Model answers

1.3 Equations and InequalitiesQuadratic equations, discriminant, simultaneous equations, polynomial equations, linear & quadratic inequalities Questions Model answers

1.4 Functions and GraphsTransformations, polynomial graphs, reciprocal/rational graphs Questions Model answers

1.5 Coordinate GeometryStraight lines, parallel/perpendicular, circles, tangents/normals to circles Questions Model answers

1.6 Sequences, Series and Binomial ExpansionBinomial positive integer Questions Model answers

1.7 TrigonometrySine/cosine rule, graphs, identities, equations Questions Model answers

1.8 Exponentials and LogarithmsExponential functions, laws of logarithms, exponential equations, log-linear graphs, growth/decay Questions Model answers

1.9 DifferentiationFirst principles, basic, tangents/normals, stationary points/optimisation Questions Model answers

1.10 Integration and Differential EquationsBasic, definite, areas (incl. between a line and a curve) Questions Model answers

1.11 Vectors2D vectors, position vectors, vector geometry (2D, dividing a line in a ratio) Questions Model answers

Unit 2: Applied Mathematics A (AS)

2.1 Sampling and DataPopulations/samples, sampling methods (simple random, systematic, opportunity), bias, location & spread, histograms & cumulative frequency, box plots/outliers (incl. data cleaning) Questions Model answers

2.2 Correlation and RegressionScatter diagrams, correlation, regression lines, interpolation Questions Model answers

2.3 ProbabilityBasic, Venn, independent (mutually exclusive, addition and multiplication laws) Questions Model answers

2.4 Probability DistributionsDiscrete RVs (discrete uniform), binomial, Poisson Questions Model answers

2.5 Hypothesis TestingBinomial (incl. p-values, Type I and II errors) Questions Model answers

2.6 Mechanics FoundationsScalars/vectors (forces as vectors), units/modelling Questions Model answers

2.7 KinematicsSUVAT, graphs, vertical motion, variable acceleration/calculus (1D) Questions Model answers

2.8 Forces and Newton's LawsConnected particles, pulleys, equilibrium (of a particle; incl. lifts) Questions Model answers

Unit 3: Pure Mathematics B (A2)

3.1 ProofContradiction Questions Model answers

3.2 Algebra and ExpressionsAlgebraic fractions, partial fractions Questions Model answers

3.3 Equations and InequalitiesModulus equations/inequalities Questions Model answers

3.4 Functions and GraphsNotation/domain/range, composite & inverse functions, transformations, modulus graphs Questions Model answers

3.5 Coordinate GeometryParametric equations (incl. tangents and normals to parametric and implicit curves) Questions Model answers

3.6 Sequences, Series and Binomial ExpansionArithmetic, geometric, sum to infinity, sigma notation, recurrence relations (sequences), binomial fractional/negative Questions Model answers

3.7 TrigonometryRadians/arc/sector (incl. segments), reciprocal & inverse trig, compound/double angle, R formula, small angle approximations Questions Model answers

3.8 DifferentiationFirst principles (sin x, cos x), product, quotient, chain, implicit, parametric, trig/exp/log, connected rates Questions Model answers

3.9 Integration and Differential EquationsTrig, exp/log, substitution, parts, partial fractions (linear denominators), differential equations (separable first order) Questions Model answers

3.10 Numerical MethodsSign change, iteration, Newton-Raphson, trapezium rule, convergence/error Questions Model answers

Unit 4: Applied Mathematics B (A2)

4.1 ProbabilityTree, conditional Questions Model answers

4.2 Probability DistributionsNormal, continuous RVs (continuous uniform only), binomial (model selection), Poisson (model selection) Questions Model answers

4.3 Hypothesis TestingNormal (mean, known variance), correlation tests Questions Model answers

4.4 Integration and Differential EquationsDifferential equations (constructing and solving separable DEs in context) Questions Model answers

4.5 Mechanics FoundationsResolving, units/modelling (incl. units of moments) Questions Model answers

4.6 KinematicsSUVAT (2D), variable acceleration/calculus (2D), projectiles Questions Model answers

4.7 Forces and Newton's LawsConnected particles, pulleys, inclined planes, friction, equilibrium (statics) Questions Model answers

4.8 Moments and Rigid BodiesMoments (parallel forces only), equilibrium Questions Model answers

4.9 Vectors3D vectors (i, j, k for forces and kinematics, no scalar product) Questions Model answers

WJEC A Level Maths exam questions by topic

Each pack with its mark scheme.

AS units (Year 1)

WJEC A Level Maths

Unit 1: Pure Mathematics AProof, algebra, coordinate geometry, trigonometry, calculus, exponentials and logarithms

Unit 1: Pure Mathematics A exam questions for WJEC A Level Maths

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Unit 2: Applied Mathematics AStatistics and mechanics

Unit 2: Applied Mathematics A exam questions for WJEC A Level Maths

Download PDF

A2 units (Year 2)

WJEC A Level Maths

Unit 3: Pure Mathematics BFurther algebra, functions, sequences, trigonometry, calculus and numerical methods

Unit 3: Pure Mathematics B exam questions for WJEC A Level Maths

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Unit 4: Applied Mathematics BFurther statistics and mechanics

Unit 4: Applied Mathematics B exam questions for WJEC A Level Maths

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StemUp Extreme Papers

Our hardest Maths questions, for students aiming for an A*. Every paper comes with full model answers.

Extreme Pure Mathematics120 marks · StemUp Maths Question paper Model answers

Extreme Mechanics90 marks · StemUp Maths Question paper Model answers

Extreme Statistics90 marks · StemUp Maths Question paper Model answers

AS papers (Units 1 and 2)

Sit them timed, mark with the mark scheme, then compare with our model answers.

2025 Unit 1 (Pure Mathematics A)AS Level Maths Question paper Mark scheme

2025 Unit 2 (Applied Mathematics A)AS Level Maths Question paper Mark scheme

2024 Unit 1 (Pure Mathematics A)AS Level Maths Question paper Mark scheme

2024 Unit 2 (Applied Mathematics A)AS Level Maths Question paper Mark scheme

2023 Unit 1 (Pure Mathematics A)AS Level Maths Question paper Mark scheme

2023 Unit 2 (Applied Mathematics A)AS Level Maths Question paper Mark scheme

2022 Unit 1 (Pure Mathematics A)AS Level Maths Question paper Mark scheme

2022 Unit 2 (Applied Mathematics A)AS Level Maths Question paper Mark scheme

2019 Unit 1 (Pure Mathematics A)AS Level Maths Question paper Mark scheme

2019 Unit 2 (Applied Mathematics A)AS Level Maths Question paper Mark scheme

2018 Unit 1 (Pure Mathematics A)AS Level Maths Question paper Mark scheme

2018 Unit 2 (Applied Mathematics A)AS Level Maths Question paper Mark scheme

A2 papers

Sit them timed, mark with the mark scheme, then compare with our model answers.

2025 Unit 3 (Pure Mathematics B)A Level Maths Question paper Mark scheme

2025 Unit 4 (Applied Mathematics B)A Level Maths Question paper Mark scheme

2024 Unit 3 (Pure Mathematics B)A Level Maths Question paper Mark scheme

2024 Unit 4 (Applied Mathematics B)A Level Maths Question paper Mark scheme

2023 Unit 3 (Pure Mathematics B)A Level Maths Question paper Mark scheme

2023 Unit 4 (Applied Mathematics B)A Level Maths Question paper Mark scheme

2022 Unit 3 (Pure Mathematics B)A Level Maths Question paper Mark scheme

2019 Unit 3 (Pure Mathematics B)A Level Maths Question paper Mark scheme

2018 Unit 3 (Pure Mathematics B)A Level Maths Question paper Mark scheme

2018 Unit 4 (Applied Mathematics B)A Level Maths Question paper Mark scheme

About WJEC A Level Maths

The WJEC A Level Maths exam is taken as four units. At AS, Unit 1, Pure Mathematics A, covers proof, algebra, coordinate geometry, trigonometry, calculus, exponentials and logarithms, and Unit 2, Applied Mathematics A, covers statistics and mechanics. At A2, Unit 3, Pure Mathematics B, extends the pure content with further algebra, functions, sequences, trigonometry, calculus and numerical methods, and Unit 4, Applied Mathematics B, covers further statistics and mechanics.

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