Maths, topic by topic
One page per topic: the ideas on one screen, the marks the mark schemes report students losing, exam-style drills with full working, and the tools that train it. 10 of 20 live — the rest are on the way.
A-level Pure
Edexcel 9MA0 Papers 1 & 2 — the core of the qualification.
Proof
Deduction, exhaustion, counter-examples and proof by contradiction.
Algebra & functions
Polynomials, the factor theorem, composite/inverse functions and the modulus.
Coordinate geometry
Straight lines, circles, tangents and intersection conditions.
Sequences & series
Binomial expansion, arithmetic and geometric sequences, sums to infinity.
Trigonometry
Radians, sectors, identities, R cos(θ + α) and trigonometric modelling.
Exponentials & logarithms
Log laws, solving equations, e and ln, and log-linear modelling.
Differentiation
First principles, product/quotient/chain rules, tangents and rates of change.
Integration
Indices before you integrate, substitution, areas and the trapezium rule.
Numerical methods
Change of sign, iteration and the Newton–Raphson method.
Vectors
Magnitude, direction, position vectors and geometry problems in 2D/3D.
A-level Statistics
Edexcel 9MA0 Paper 3 Section A.
Sampling & data presentation
Sampling methods, the large data set, histograms and outliers.
Probability & distributions
Venn/tree problems, binomial and normal distributions.
Hypothesis testing
Binomial and normal tests, correlation, and writing conclusions that score.
A-level Mechanics
Edexcel 9MA0 Paper 3 Section B.
Kinematics
SUVAT, velocity–time graphs, variable acceleration and projectiles.
Forces & Newton's laws
F = ma, connected particles, friction and inclined planes.
Moments
Taking moments, equilibrium of rods and tilting problems.
GCSE (Higher)
Edexcel 1MA1 — the topics that decide grades 6–9.
Algebra (Higher)
Quadratic inequalities, simultaneous equations and rearranging formulae.
Ratio & proportion (Higher)
Reverse percentages, direct/inverse proportion and ratio problems.
Geometry (Higher)
Circle theorems, 3D trigonometry and angles with reasons.
Number, indices & surds (Higher)
Fractional/negative indices, surds and rationalising the denominator.
Want a topic prioritised?
These pages come from the topics my own students struggle with most. Tell me what you're stuck on — your first lesson is free.