A-Level Pure Mathematics
Topic-by-topic exam-style questions with full solutions. Ideal companion to the free site practice.
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Free exam-style questions for GCSE & A-Level. Pick a topic, try the questions, then check the full worked solution.
Number, Algebra, Geometry and Probability & Statistics — exam-style questions with worked solutions.
Conversions, percentage change, reverse percentages
10 questions →Sharing, unitary method, best buys, recipes
8 questions →Writing, calculating and converting standard form
8 questions →Laws of indices, simplifying surds, rationalising
10 questions →Linear equations, simultaneous, inequalities
10 questions →Factorising, formula, completing the square
10 questions →Arithmetic, geometric, nth term, Fibonacci
8 questions →Straight lines, quadratics, real-life graphs
8 questions →Right-angled triangles, exact values, bearings
10 questions →Circles, prisms, cylinders, cones, spheres
8 questions →Angle in semicircle, tangent, cyclic quadrilateral
8 questions →Parallel lines, interior/exterior angles
8 questions →Energy, forces, waves, electricity, particles and radioactivity — exam-style questions with worked solutions.
Core Pure and Further Pure topics with live questions. Tap a card to practise.
Argand plane, loci, polynomials & conjugates
16 questions →2×2 & 3×3, determinants, inverses & systems
14 questions →Reflections, rotations, invariant lines & points
12 questions →Standard results, method of differences, proofs
14 questions →Relations between roots, transformations
14 questions →Standard solids & non-standard shapes
12 questions →Sums, divisibility, inequalities & matrices
12 questions →Lines, planes, distances & applications
14 questions →Exponential form, De Moivre & nth roots
12 questions →Expansions, method of differences & compounds
12 questions →Improper integrals, mean value & inverse trig
12 questions →About x- and y-axes, parametric & modelling
12 questions →Curves, area, tangents & conversion
12 questions →Identities, inverses, calculus & equations
12 questions →1st & 2nd order, particular integrals & modelling
12 questions →Weierstrass substitutions, identities & equations
12 questions →Parabolas, hyperbolas, tangents & loci
12 questions →Vector product, triple product & 3D geometry
12 questions →Expansions about a point, limits & approximations
10 questions →Rational, modulus & algebraic inequalities
10 questions →Homogeneous, Bernoulli & order reduction
10 questions →Linear momentum, impulse & conservation
12 questions →Work done, KE, PE, conservation & power
12 questions →Hooke’s law, EPE & SHM
12 questions →Direct impacts, restitution & successive collisions
12 questions →Oblique impacts & two-dimensional collisions
12 questions →Pure, Statistics and Mechanics — Pure 1, Pure 2, Statistics and Mechanics live.
Quadratics, inequalities, graphs & modelling
12 questions →Lines, circles, midpoints & distances
12 questions →Identities, equations & graphs
12 questions →Laws, equations & real-world models
12 questions →From first principles to applications
12 questions →Techniques & areas under curves
12 questions →Positive integer & rational powers
10 questions →Position vectors, magnitude, scalar product & geometry
12 questions →Division, remainder theorem & partial fractions
10 questions →Domain, range, inverse, composite & modulus
10 questions →Arithmetic, geometric & sum to infinity
10 questions →Positive integer & rational powers
10 questions →Arc length, sectors, identities & equations
10 questions →Curves, gradients & Cartesian form
10 questions →Product, quotient, implicit & trig/exp
10 questions →Parts, substitution, partial fractions & DEs
10 questions →Newton–Raphson, iteration & trapezium rule
10 questions →First-order separable, integrating factor & modelling
12 questions →Magnitude, distance, position vectors & geometry
12 questions →Trees, conditional, Venn & independence
10 questions →Mean, median, variance, SD & quartiles
10 questions →Binomial & normal distributions
10 questions →One- & two-tailed tests, Type I/II errors
10 questions →PMCC, least-squares lines & interpretation
10 questions →Random, stratified, bias & diagrams
10 questions →SUVAT, velocity–time graphs & variable acceleration
12 questions →Resultants, inclined planes & equilibrium
12 questions →Rods, ladders, centres of mass & tipping
10 questions →Range, trajectory, time of flight & inclined planes
12 questions →Static & kinetic friction, limiting equilibrium
10 questions →Pulleys, Atwood machines & string systems
10 questions →AS and A2 topics with exam-style questions and worked solutions. Tap a card to practise.
Quarks, leptons, antiparticles, annihilation & pair production
10 questions →Progressive waves, superposition, diffraction & refraction
10 questions →Density, stress–strain, Young modulus & energy stored
10 questions →Current, resistance, circuits, potential dividers & EMF
12 questions →Photoelectric effect, energy levels, wave–particle duality
10 questions →Centripetal force, simple harmonic motion & resonance
10 questions →Ideal gases, kinetic theory, internal energy & specific heat
10 questions →Field strength, potential, orbits & capacitors
12 questions →Force on currents, flux, Faraday’s & Lenz’s laws
10 questions →Radioactivity, half-life, fission, fusion & binding energy
10 questions →Past papers via PMT · lessons and topic practice on Calcurion.
Printable topic worksheets with exam-style questions — download, practise offline, then check answers on the site.
Practice books and revision guides from Calcurion Publishing.
Topic-by-topic exam-style questions with full solutions. Ideal companion to the free site practice.
Buy · link hereProbability, distributions, hypothesis testing and more — aligned with the Statistics topics on this site.
Buy · link hereComplex numbers, matrices, series and proof — structured practice for Further Mathematics.
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