Algebra and Functions
Indices, surds, quadratics, equations, inequalities, polynomials, modulus and function reasoning.
9 levels · 3 questions eachSelect one area of mathematics, then progress through 9 increasingly difficult levels. Every level contains 3 focused questions.
Indices, surds, quadratics, equations, inequalities, polynomials, modulus and function reasoning.
9 levels · 3 questions eachArithmetic and geometric sequences, sigma notation, recurrences, series and binomial coefficients.
9 levels · 3 questions eachStraight lines, gradients, intersections, circles, loci, distance and area reasoning.
9 levels · 3 questions eachExact values, radians, sine and cosine rules, graphs, equations, identities and the ambiguous case.
9 levels · 3 questions eachExponential models, logarithm laws, equations, graph interpretation and parameter questions.
9 levels · 3 questions eachTangents, normals, stationary points, monotonic behaviour, optimisation and rates of change.
9 levels · 3 questions eachDefinite integrals, signed area, area between curves, differential equations and the trapezium rule.
9 levels · 3 questions eachTransformations, roots, intersections, graph matching, modulus and reciprocal behaviour.
9 levels · 3 questions eachImplication, converse, contrapositive, necessary and sufficient conditions, negation and equivalence.
9 levels · 3 questions eachDirect proof, contradiction, counterexamples, implication structure, proof errors and validity.
9 levels · 3 questions eachCombinatorics, arrangements, selections, counting arguments and probability-based counting.
9 levels · 3 questions eachInteger properties, parity, remainders, factors, divisibility and mixed Paper 2-style arguments.
9 levels · 3 questions each