Years 12 and 13

A-level

Open pure mathematics, statistics, mechanics or exam questions.

Open exam revision

A-level course

Choose a section

Pure mathematics, statistics, mechanics and exam papers are all on this page.

01A-level sectionY12 PureCore AS content: algebra, graphs, trig, calculus and exponentials.14 links
Year 12 PureCore AS content: algebra, graphs, trig, calculus and exponentials.
01Year 12 PureAlgebraic ExpressionsCh1 — algebraic expressions, fractions, indices and surds. 02Year 12 PureQuadraticsCh2 — solving quadratics, roots, completing the square and discriminant. 03Year 12 PureEquations & InequalitiesCh3 — solving equations and inequalities, including modelling. 04Year 12 PureGraphs & TransformationsCh4 — graph shapes and transformations: shifts, reflections and stretches. 05Year 12 PureStraight Line GraphsCh5 — y = mx + c, gradients, intercepts and parallel/perpendicular lines. 06Year 12 PureCirclesCh6 — equations of circles, radius, centre and tangents. 07Year 12 PureAlgebraic MethodsCh7 — proof ideas and algebraic methods including partial fractions. 08Year 12 PureBinomial ExpansionCh8 — binomial expansion and using it for approximations. 09Year 12 PureTrigonometric RatiosCh9 — SOHCAHTOA, sine and cosine rule and basic trig applications. 10Year 12 PureTrig Identities & EquationsCh10 — trig identities, equations and more advanced trig techniques. 11Year 12 PureVectorsCh11 — vectors, magnitude, direction and geometric applications. 12Year 12 PureDifferentiationCh12 — gradients, stationary points, chain/product/quotient rules. 13Year 12 PureIntegrationCh13 — integration, areas under curves and basic substitution. 14Year 12 PureExponentials & LogarithmsCh14 — exponential functions, logarithms and their rules.
02A-level sectionY13 PureA2 content: advanced algebra, trig, calculus, parametrics and vectors.12 links
Year 13 PureA2 content: advanced algebra, trig, calculus, parametrics and vectors.
01Year 13 PureAlgebraic MethodsCh1 — advanced algebraic methods, including partial fractions and proof. 02Year 13 PureFunctions & GraphsCh2 — functions, domain and range, composite and inverse functions. 03Year 13 PureSequences & SeriesCh3 — arithmetic and geometric sequences and series. 04Year 13 PureBinomial ExpansionCh4 — general binomial expansion with negative and fractional powers. 05Year 13 PureRadiansCh5 — radians, arc length, sector area and radian trig. 06Year 13 PureTrigonometric FunctionsCh6 — trig graphs, periodicity and transformations. 07Year 13 PureTrigonometry & ModellingCh7 — using trig to model real situations and harmonic motion. 08Year 13 PureParametric EquationsCh8 — parametric curves and parametric differentiation. 09Year 13 PureDifferentiationCh9 — advanced differentiation including implicit methods. 10Year 13 PureNumerical MethodsCh10 — iterative methods and numerical solutions to equations. 11Year 13 PureIntegrationCh11 — advanced integration, including by parts and substitution. 12Year 13 PureVectorsCh12 — 3D vectors, vector lines and scalar product.
03A-level sectionStatisticsAS statistics: data, probability, distributions and hypothesis testing. A2 statistics: regression, conditional probability and the normal distribution.10 links
Year 12 StatisticsAS statistics: data, probability, distributions and hypothesis testing.
01Year 12 StatisticsData CollectionCh1 — collecting data, sampling and the large data set. 02Year 12 StatisticsMeasures of Location & SpreadCh2 — mean, median, mode, variance and standard deviation. 03Year 12 StatisticsRepresentations of DataCh3 — box plots, histograms, cumulative frequency, outliers. 04Year 12 StatisticsCorrelationCh4 — correlation, scatter graphs and regression lines. 05Year 12 StatisticsProbabilityCh5 — basic probability, Venn diagrams and notation. 06Year 12 StatisticsStatistical DistributionsCh6 — probability distributions and binomial models. 07Year 12 StatisticsHypothesis TestingCh7 — binomial hypothesis tests, critical regions and significance.
Year 13 StatisticsA2 statistics: regression, conditional probability and the normal distribution.
08Year 13 StatisticsRegression, Correlation & Hypothesis TestingCh1 — regression lines, correlation and extended hypothesis testing. 09Year 13 StatisticsConditional ProbabilityCh2 — conditional probability and tree diagrams. 10Year 13 StatisticsThe Normal DistributionCh3 — the normal distribution, z-scores and modelling.
04A-level sectionMechanicsModelling, motion in a straight line, forces and basic kinematics. Moments, friction, projectiles, forces and further kinematics.9 links
Year 12 MechanicsModelling, motion in a straight line, forces and basic kinematics.
01Year 12 MechanicsModelling in MechanicsCh8 — modelling assumptions and how we simplify real situations. 02Year 12 MechanicsConstant AccelerationCh9 — SUVAT and motion under constant acceleration. 03Year 12 MechanicsForces & MotionCh10 — forces, resolving and Newton’s laws. 04Year 12 MechanicsVariable AccelerationCh11 — calculus in kinematics and s–v–a graphs.
Year 13 MechanicsMoments, friction, projectiles, forces and further kinematics.
05Year 13 MechanicsMomentsCh4 — moments, torque and equilibrium. 06Year 13 MechanicsForces & FrictionCh5 — forces with friction and motion on inclined planes. 07Year 13 MechanicsProjectilesCh6 — projectiles launched horizontally or at an angle. 08Year 13 MechanicsApplications of ForcesCh7 — connected particles, pulleys and more complex force systems. 09Year 13 MechanicsFurther KinematicsCh8 — more advanced kinematics and parametric motion.
05A-level sectionPapersExam-style papers and preparation resources. IYGB papers and preparation resources.5 links
Edexcel A-Level PapersExam-style papers and preparation resources.
01Edexcel A-Level PapersAS-Level BSGEdexcel AS-level bronze, silver and gold questions. 02Edexcel A-Level PapersAdvanced Information PapersEdexcel A-level advanced information papers for extra exam practice.
IYGB PapersIYGB papers and preparation resources.
03IYGB PapersAS-Level PureIYGB AS-level pure papers for extra exam practice. 04IYGB PapersA-Level PureIYGB A-level pure papers for extra exam practice. 05IYGB PapersA-Level AppliedIYGB A-level applied papers for extra exam practice.

More practice

Exam questions and challenges.

Use exam papers, A* questions and UKMT problems when you want more practice.

Exam revisionA* questionsUKMT