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CIE A Level past-paper questions, one at a time, with the mark scheme beside your working.

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  • Mathematics 9709
  • Further Mathematics 9231
  • Physics 9702
  • Chemistry 9701
  • Biology 9700

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  • CIE mark schemes explained: M1, A1, B1, DM1, AG
  • Six-week CIE A Level past paper revision plan
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CIE A Level Further Mathematics 9231 topical past papers

Further Mathematics 9231 has fewer past papers than most subjects, so every question counts. Examaced splits 42 past papers per component into 1,178 single questions, sorted by topic, so you can work through all 114 Integration questions in Further Pure Mathematics 2 before you sit a full paper.

Practice Further Mathematics

1,178 questions, 4 papers, 2020–2026

Papers and topics

Each paper's topics, with the number of past-paper questions in brackets. A question can sit under more than one topic, so topic counts can add up to more than the paper.

Paper 1 Further Pure Mathematics 1[294]

7 topics, 2h

  • Roots of polynomial equations[44]
  • Rational functions and graphs[45]
  • Summation of series[43]
  • Matrices[48]
  • Polar coordinates[42]
  • Vectors[42]
  • Proof by induction[42]

Paper 2 Further Pure Mathematics 2[337]

6 topics, 2h

  • Hyperbolic functions[65]
  • Matrices[59]
  • Differentiation[73]
  • Integration[114]
  • Complex numbers[36]
  • Differential equations[82]

Paper 3 Further Mechanics[292]

6 topics, 1h 30m

  • Motion of a projectile[43]
  • Equilibrium of a rigid body[71]
  • Circular motion[86]
  • Hooke’s law[55]
  • Linear motion under a variable force[42]
  • Momentum[58]

Paper 4 Further Probability & Statistics[255]

5 topics, 1h 30m

  • Continuous random variables[46]
  • Inference using normal and t-distributions[98]
  • χ²-tests[43]
  • Non-parametric tests[44]
  • Probability generating functions[44]

How Further Mathematics works in Examaced

  1. (a)

    Filter down to the questions you need

    Inside a paper, choose a topic, then narrow by year, session and marks. Integration in Paper 2 has 114 questions; October / November only leaves 53; 9+ marks leaves 36.

  2. (b)

    Long questions, room to work

    Draw on the question, add extra working sheets and download your solved problem as a PDF. Drawings are temporary, so download them before leaving.

  3. (c)

    Dependent marks, side by side

    9231 schemes lean on dependent method marks like DM1. With the scheme open beside your working, you can see exactly which step each mark depends on.

Guides for Further Mathematics students

  • Examaced vs Save My Exams vs Exam-Mate for CIE A Level past papers

    An honest comparison of three ways to practice CIE A Level past papers: what each one is built for, where Examaced is narrower, and which to use for CIE Maths, Further Maths and the sciences.

    8 November 2026, 7 min read

  • How to read a CIE A Level mark scheme: M1, A1, B1, DM1 and AG explained

    What M1, A1, B1, DM1, *M1, FT, AG and the other Cambridge mark scheme codes mean, worked through on a real 9231 Further Maths question, and how to mark your own past papers fairly.

    8 November 2026, 8 min read

  • A six-week CIE A Level past-paper plan that actually raises your marks

    A week-by-week plan for the last six weeks before CIE A Level exams: topical questions first, then harder questions and your mistakes, then full timed papers, with honest marking throughout.

    8 November 2026, 6 min read

Also on Examaced: Mathematics 9709, Physics 9702, Chemistry 9701 and Biology 9700.

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