AQA A-Level Mathematics Past Papers & Mark Schemes

AQA A-Level Mathematics (specification code 7357) tests two things simultaneously: pure algebraic reasoning and applied mathematical modelling. Understanding which is being tested at any moment — and switching between the two cleanly — is one of the real skills the qualification develops. Paper 1 is two hours with no calculator and 100 marks. The prohibition on calculators is the defining constraint. Every answer must be derived through algebraic manipulation, exact values (leaving answers in terms of π, √2, or e), and logical written reasoning. Topics include proof, coordinate geometry, sequences and series, binomial expansion, differentiation, integration, trigonometry, and vectors. Marks lost on Paper 1 are almost always due to algebraic slips rather than conceptual misunderstanding. Papers 2 and 3 are each two hours with calculators permitted, 100 marks each. Both contain pure mathematics questions alongside either Statistics or Mechanics — your school chooses which applied topic appears in Paper 2 versus Paper 3, depending on their teaching order. Pure topics across these papers include exponentials and logarithms, numerical methods, further calculus, and parametric equations. Statistics topics cover sampling theory, data representation, probability, binomial and Normal distributions, and hypothesis testing using the binomial or Normal distribution. The AQA Large Data Set — a dataset of weather measurements — features in every Statistics paper, and knowing its structure and key features is essential. Mechanics topics include kinematics (SUVAT equations and calculus-based motion), forces (resolving and Newton's laws), moments, and variable acceleration. The connection between calculus and mechanics — using differentiation and integration to model motion — is regularly examined and rewards students who genuinely link the two areas. There is no coursework component. All 300 marks come from the three examinations sat at the end of Year 13.