🇬🇧 A-Level reference page
Topic-grouped study map for A-Level Maths — Pure Mathematics, Statistics, and Mechanics — with the examiner patterns that separate B grades from A* grades.
3
exam papers
100
marks per paper
2
years of study
Paper split
Paper 1 — Pure
100 marks, 2 hrs
Paper 2 — Pure
100 marks, 2 hrs
Paper 3 — Stats + Mechanics
100 marks, 2 hrs (50/50)
Topics by unit
Foundation for all other pure topics. Factor theorem and graph transformations appear in almost every paper — know both forwards and backwards.
Highest mark allocation in A-Level Maths. Integration by parts and differential equations are 6–9 mark questions. Always include the constant of integration.
Trig identities are used to simplify integrals — learn all six double angle forms. Exponential models often combine with differentiation.
Hypothesis testing requires a clear null/alternative hypothesis, critical region, and conclusion in context. Examiners penalise vague conclusions.
Draw a force diagram before writing any equation — examiners award method marks for it. SUVAT only applies to constant acceleration.
Commonly searched questions
Work through past papers under timed conditions, then analyse every mark you lost. A-Level Maths rewards method — even a wrong final answer gets method marks if working is shown. Focus on integration by parts and hypothesis testing early as they carry the most marks on Paper 3.
AQA and Edexcel publish free past papers and mark schemes on their websites. For Edexcel, papers from 2018 onwards use the current linear specification. Older papers (pre-2017 modular) are useful for topic practice but have a different structure.
A-Level Maths is significantly harder in pace rather than concept. The jump is mostly in volume — you cover roughly three times as much content in two years, and questions combine multiple topics in a single problem. Students who achieved grade 7+ at GCSE generally manage the transition well.
Russell Group universities typically require A or A* for Maths, Physics, and Engineering degrees. For Economics, Computer Science, and related courses, a B is often sufficient. Check UCAS entry requirements for specific courses as they vary significantly.
Practice bridge