Cambridge International AS & A Level · 9709
Cambridge A Level Mathematics 9709 topical past papers
Cambridge International AS & A Level Mathematics (9709) is examined in six written papers. Three are pure mathematics: Paper 1 Pure Mathematics 1, Paper 2 Pure Mathematics 2 and Paper 3 Pure Mathematics 3. Paper 4 is Mechanics, and Papers 5 and 6 are Probability & Statistics 1 and 2. Papers 1 and 3 last 1 hour 50 minutes for 75 marks; the other four last 1 hour 15 minutes for 50 marks. Every question is compulsory, and a list of formulae and statistical tables is provided. The 2026–2027 syllabus is the one in force, with its topics numbered by paper from 1.1 Quadratics to 6.5 Hypothesis tests.
- Questions
- 4,992
- Past papers
- 613
- Years
- 2009–2026
- With mark scheme
- 100%
Anyone can browse these pages. Opening the questions and their mark schemes takes a free Momentum account.
Mathematics 9709 chapters
The topics of the 2026–2027 syllabus, each with a page of its own: what it covers, how it has been examined and where its practice is.
Also in the bank from earlier syllabuses, and not part of the one in force: Motion of a Projectile (79, 2019); Moments of Forces (76, 2019); Hook's Law (76, 2019); Centre of Mass (73, 2019); Uniform Motion in a Circle (66, 2019); Linear Motion under a Variable Force (53, 2019).
Revising Mathematics 9709 by topic
Everyone sits Paper 1. For AS Level you add Paper 2, Paper 4 or Paper 5, with Paper 1 worth 60% and the second paper 40%; Papers 1 and 2 together are an AS-only route that cannot count towards A Level. A Level is Papers 1 and 3 (30% each) with either Papers 4 and 5 or Papers 5 and 6 (20% each). Papers 4 and 6 cannot be combined, because Paper 6 builds on Paper 5. Staged over two years, that means Paper 1 with Paper 5, then Paper 3 with Paper 4 or Paper 6; or Paper 1 with Paper 4, then Paper 3 with Paper 5.
- The paper numbers changed in 2020. Before then Paper 4 was Mechanics 1, Paper 5 Mechanics 2, Paper 6 Statistics 1 and Paper 7 Statistics 2, so practice for today's Paper 5 sits in the old Paper 6, and practice for today's Paper 6 in the old Paper 7. When you reach back past 2020, choose questions by topic rather than by paper number.
- Leave out pre-2020 Mechanics 2 questions on projectiles, moments, centres of mass, circular motion, elastic strings and Hooke's law: those topics are no longer in 9709 and belong to Further Mathematics now, and today's Paper 4 keeps to particles moving in a straight line. Older Pure Mathematics 3 questions on the equation of a plane are outside the current syllabus too, and vectors, once partly in Paper 1, are now Paper 3 only.
- Trigonometry, differentiation and integration run from Paper 1 into Paper 2 or Paper 3. Practise Paper 1's version first — exact values and the two basic identities, the chain rule and stationary points, areas and volumes of revolution — because the later papers assume it and build the compound-angle formulae, the product and quotient rules, integration by parts and substitution on top. If you are taking Paper 3, Paper 2 questions on the shared topics are extra practice at the same content, since almost everything in Paper 2 is also in Paper 3.
- Paper 6 assumes everything in Paper 5, and Papers 4 and 5 assume the algebra and calculus of Paper 1. Before practising hypothesis tests or confidence intervals, make sure standardising a normal variable and calculating binomial probabilities are secure; before kinematics, make sure you can differentiate and integrate polynomials and resolve a force with sin and cos.
- In Momentum, questions are filed by topic with their mark schemes, and you can filter by paper, year and session. Work through one topic until its questions feel routine, then use the mock exam builder to mix topics into a timed paper, because 9709 questions often combine two topics in one. Check each step of your working against the mark scheme, not just the final answer.
Practising in Momentum
- Every question in a chapter as one list, from every paper and year in the bank, newest first or shuffled.
- Each question turns over to its own part of the mark scheme, where the board published one.
- Narrow by paper, year, session, zone and marks, and star the questions worth keeping.
- Pick chapters, a number of questions and a time, and the exam builder draws a mock to sit and mark.
Past-paper questions and mark schemes are the copyright of Cambridge International. Momentum shows them to signed-in learners for revision and does not publish them on these pages.
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