A-level Maths revision
Every A-level Maths topic, one page each: the idea, a worked example, three questions to try and the past-paper questions that test it.
2027 predicted topics: what past papers test most, with a free timed set
Pure, year 1
- Indices and surds36 past-paper questions
- Quadratics and the discriminant78 past-paper questions
- Quadratic simultaneous equations23 past-paper questions
- Inequalities47 past-paper questions
- The factor theorem39 past-paper questions
- Sketching curves27 past-paper questions
- Straight lines and gradients30 past-paper questions
- Equation of a circle46 past-paper questions
- Graph transformations37 past-paper questions
- Proof and counterexamples38 past-paper questions
- Vectors and position vectors39 past-paper questions
- Magnitude and direction of vectors63 past-paper questions
- Solving trig equations8 past-paper questions
- Trig identities and equations32 past-paper questions
- Sine rule, cosine rule and area27 past-paper questions
- Radians, arcs and sectors33 past-paper questions
- Exponential graphs13 past-paper questions
- Logarithms73 past-paper questions
- Exponential models41 past-paper questions
- First principles differentiation17 past-paper questions
- Standard derivatives41 past-paper questions
- Tangents and normals65 past-paper questions
- Stationary points and optimisation80 past-paper questions
- Integration25 past-paper questions
- Definite integrals and areas48 past-paper questions
- Binomial expansion17 past-paper questions
Pure, year 2
- Composite and inverse functions47 past-paper questions
- Modulus equations and inequalities32 past-paper questions
- Partial fractions38 past-paper questions
- Sequences and sigma notation31 past-paper questions
- Arithmetic series30 past-paper questions
- Geometric series44 past-paper questions
- Series in real-life models18 past-paper questions
- Binomial expansion for any power31 past-paper questions
- Sec, cosec, cot and inverse trig42 past-paper questions
- Addition and double-angle formulae51 past-paper questions
- Harmonic form: R sin(x + α)19 past-paper questions
- Harder trig equations40 past-paper questions
- Small-angle approximations20 past-paper questions
- Trig models13 past-paper questions
- Using logs to find a model16 past-paper questions
- Product, quotient and chain rules59 past-paper questions
- Implicit and parametric gradients54 past-paper questions
- Parametric equations13 past-paper questions
- Connected rates of change23 past-paper questions
- Integrating exponentials and trig13 past-paper questions
- Integration by substitution27 past-paper questions
- Integration by parts26 past-paper questions
- Integrating fractions35 past-paper questions
- Area between curves19 past-paper questions
- Differential equations38 past-paper questions
- Locating roots30 past-paper questions
- Fixed-point iteration24 past-paper questions
- The Newton-Raphson method16 past-paper questions
- The trapezium rule26 past-paper questions
- Proof by contradiction20 past-paper questions
Statistics
- Sampling methods22 past-paper questions
- Histograms, box plots and outliers25 past-paper questions
- Grouped data and interpolation21 past-paper questions
- Standard deviation and coding24 past-paper questions
- Correlation and regression23 past-paper questions
- Independent and exclusive events37 past-paper questions
- Conditional probability33 past-paper questions
- Probability models and assumptions10 past-paper questions
- The binomial distribution35 past-paper questions
- Binomial cumulative probabilities31 past-paper questions
- Binomial hypothesis tests21 past-paper questions
- The Normal distribution35 past-paper questions
- Inverse Normal and finding μ or σ26 past-paper questions
- Normal approximation to binomial5 past-paper questions
- Hypothesis test for a Normal mean27 past-paper questions
- Testing for correlation16 past-paper questions
Mechanics
- Units in mechanics2 past-paper questions
- Displacement, velocity and speed10 past-paper questions
- Velocity-time graphs19 past-paper questions
- SUVAT equations40 past-paper questions
- Forces and Newton's first law13 past-paper questions
- Newton's second law24 past-paper questions
- Equilibrium and Newton's third law15 past-paper questions
- Connected particles and pulleys20 past-paper questions
- Variable acceleration17 past-paper questions
- Motion in two dimensions37 past-paper questions
- Projectiles29 past-paper questions
- Forces on inclined planes52 past-paper questions
- Friction43 past-paper questions
- Moments31 past-paper questions
- Ladders and rods in equilibrium15 past-paper questions
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87 topics · A-level Maths past papers · Mark my maths work