CCEA GCE Mathematics (2018) exam questions and past papers

Free CCEA A Level Maths past papers, with mark schemes and model answers for every paper.

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How to use the past papers

Sit each paper under timed conditions, then mark it yourself with the mark scheme. Compare your answers with our model answers to see exactly what a full-mark answer looks like, and note the questions where you lost marks so you know what to revise next.

CCEA A Level Maths exam questions by topic

Every topic on the CCEA GCE Mathematics (2018) specification, grouped by paper. Each pack has full model answers.

AS 1: Pure Mathematics (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 (incl. remainder theorem) 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 (asymptotic curves) 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 (incl. n! and nCr) 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 Questions Model answers

1.11 Vectors2D vectors, position vectors, vector geometry Questions Model answers

AS 2: Applied Mathematics (AS)

2.1 Mechanics FoundationsScalars/vectors, units/modelling, resolving (2D force vectors) Questions Model answers

2.2 KinematicsSUVAT (incl. 2D with vectors), graphs, vertical motion Questions Model answers

2.3 Forces and Newton's LawsConnected particles, pulleys, friction, equilibrium Questions Model answers

2.4 Sampling and DataPopulations/samples, sampling methods (simple random, stratified), bias, location & spread, histograms & cumulative frequency (interpretation of histograms), box plots/outliers (interpretation only), large data set Questions Model answers

2.5 Correlation and RegressionScatter diagrams, correlation (PMCC), regression lines (interpretation, no calculation), interpolation Questions Model answers

2.6 ProbabilityBasic, Venn, tree, independent Questions Model answers

2.7 Probability DistributionsDiscrete RVs, binomial Questions Model answers

A2 1: Pure Mathematics (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 (combined), modulus graphs Questions Model answers

3.5 Coordinate GeometryParametric equations Questions Model answers

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

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

3.8 DifferentiationProduct, quotient, chain, implicit, parametric, trig/exp/log Questions Model answers

3.9 Integration and Differential EquationsTrig, exp/log, substitution, parts, partial fractions, differential equations (separable), volumes of revolution (about x-axis) Questions Model answers

3.10 Numerical MethodsSign change, Newton-Raphson, trapezium rule Questions Model answers

A2 2: Applied Mathematics (A2)

4.1 KinematicsVariable acceleration/calculus (1D and 2D), projectiles Questions Model answers

4.2 Moments and Rigid BodiesMoments, equilibrium, rods/ladders (incl. hinged beams) Questions Model answers

4.3 Momentum and ImpulseConservation, collisions (incl. explosions) Questions Model answers

4.4 ProbabilityConditional Questions Model answers

4.5 Probability DistributionsNormal Questions Model answers

4.6 Hypothesis TestingBinomial, normal, correlation tests Questions Model answers

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 Level papers

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

Summer 2025 AS 1: Pure MathematicsCCEA GCE Mathematics (2018) Question paper Mark scheme

Summer 2025 AS 2: Applied MathematicsCCEA GCE Mathematics (2018) Question paper Mark scheme

Summer 2024 AS 1: Pure MathematicsCCEA GCE Mathematics (2018) Question paper Mark scheme

Summer 2024 AS 2: Applied MathematicsCCEA GCE Mathematics (2018) Question paper Mark scheme

Summer 2023 AS 1: Pure MathematicsCCEA GCE Mathematics (2018) Question paper Mark scheme

Summer 2023 AS 2: Applied MathematicsCCEA GCE Mathematics (2018) Question paper Mark scheme

Summer 2022 AS 1: Pure MathematicsCCEA GCE Mathematics (2018) Question paper Mark scheme

Summer 2022 AS 2: Applied MathematicsCCEA GCE Mathematics (2018) Question paper Mark scheme

Summer 2021 AS 1: Pure MathematicsCCEA GCE Mathematics (2018) Question paper Mark scheme

Summer 2021 AS 2: Applied MathematicsCCEA GCE Mathematics (2018) Question paper Mark scheme

Summer 2019 AS 1: Pure MathematicsCCEA GCE Mathematics (2018) Question paper Mark scheme

Summer 2019 AS 2: Applied MathematicsCCEA GCE Mathematics (2018) Question paper Mark scheme

A Level papers

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

Summer 2025 A2 1: Pure MathematicsCCEA GCE Mathematics (2018) Question paper Mark scheme

Summer 2025 A2 2: Applied MathematicsCCEA GCE Mathematics (2018) Question paper Mark scheme

Summer 2024 A2 1: Pure MathematicsCCEA GCE Mathematics (2018) Question paper Mark scheme

Summer 2024 A2 2: Applied MathematicsCCEA GCE Mathematics (2018) Question paper Mark scheme

Summer 2023 A2 1: Pure MathematicsCCEA GCE Mathematics (2018) Question paper Mark scheme

Summer 2023 A2 2: Applied MathematicsCCEA GCE Mathematics (2018) Question paper Mark scheme

Summer 2022 A2 1: Pure MathematicsCCEA GCE Mathematics (2018) · Reserve paper Question paper Mark scheme

Summer 2022 A2 2: Applied MathematicsCCEA GCE Mathematics (2018) Question paper Mark scheme

Summer 2021 A2 1: Pure MathematicsCCEA GCE Mathematics (2018) Question paper Mark scheme

Summer 2021 A2 2: Applied MathematicsCCEA GCE Mathematics (2018) Question paper Mark scheme

Summer 2019 A2 1: Pure MathematicsCCEA GCE Mathematics (2018) Question paper Mark scheme

Summer 2019 A2 2: Applied MathematicsCCEA GCE Mathematics (2018) Question paper Mark scheme

About CCEA A Level Maths

The CCEA A Level Maths exam has four units. At AS, AS 1 is pure mathematics and AS 2 is applied mathematics, covering mechanics and statistics. At A2, A2 1 is pure mathematics and A2 2 is applied mathematics.

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