Cambridge International (CAIE)International AS & A Level9709

Cambridge International AS & A Level Maths past papers (9709)

Cambridge 9709 is built from separate components rather than one fixed set of papers. AS Level candidates typically sit Pure Mathematics 1 plus one applied component; full A Level candidates add Pure Mathematics 3 and a second applied component. The component combination your school enters you for decides exactly which past papers are relevant to you.

Paper structure

Paper 1: Pure Mathematics 1

  • 1 hour 50 minutes
  • 75 marks
  • Non-calculator

Quadratics, functions, coordinate geometry, circular measure, trigonometry, series, differentiation and integration.

Paper 2: Pure Mathematics 2

  • 1 hour 15 minutes
  • 50 marks
  • Calculator

Algebra, logarithms and exponentials, trigonometry, differentiation, integration and numerical solution of equations.

Paper 3: Pure Mathematics 3

  • 1 hour 50 minutes
  • 75 marks
  • Calculator

Pure 2 content extended, plus vectors, differential equations and complex numbers.

Paper 4: Mechanics

  • 1 hour 15 minutes
  • 50 marks
  • Calculator

Forces and equilibrium, kinematics, Newton's laws, momentum, work, energy and power.

Paper 5: Probability & Statistics 1

  • 1 hour 15 minutes
  • 50 marks
  • Calculator

Representation of data, permutations and combinations, probability, discrete random variables and the normal distribution.

Paper 6: Probability & Statistics 2

  • 1 hour 15 minutes
  • 50 marks
  • Calculator

The Poisson distribution, linear combinations of random variables, sampling and estimation, and hypothesis testing.

  • You do not sit every component — your entry is a specific combination, so check it before downloading papers.
  • A calculator is not permitted in Paper 1 (Pure Mathematics 1); the other components allow one.
  • Pure Mathematics 3 builds directly on Pure Mathematics 2 content, so the two are best revised together.

Paper structure reflects the current specification. Grade boundaries and exam dates change every series — always check the board's published documents for your own series.

How to revise with past papers

  1. 1. Identify your exact component combination

    Confirm which of Papers 1–6 you are entered for, then filter every past paper you attempt to that list.

  2. 2. Practise Pure 1 without a calculator

    Paper 1 is sat without a calculator, so exact surd, trigonometric and logarithmic work has to be automatic.

  3. 3. Work in the required accuracy

    Cambridge mark schemes expect answers to 3 significant figures unless stated otherwise; keep full precision in working and round only at the end.

  4. 4. Review with the mark scheme and examiner report

    Cambridge publishes examiner reports that name the common errors for each series — read them alongside the mark scheme after each paper.

Common questions

Which papers do I sit for Cambridge A Level Maths 9709?
It depends on your entry. AS candidates commonly sit Pure Mathematics 1 with one applied component; full A Level candidates usually add Pure Mathematics 3 and a second applied component.
Is a calculator allowed in Cambridge 9709?
A calculator is not permitted in Paper 1 (Pure Mathematics 1). Calculators are allowed in the other components.
What is the difference between Pure 2 and Pure 3?
Pure 3 covers the Pure 2 content and extends it with vectors, differential equations and complex numbers, and it is a longer paper worth 75 marks.
Is 9709 the same as UK A Level Maths?
No. It is Cambridge's international specification with a component-based structure, although a large amount of the mathematics overlaps with UK A Level Maths.

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Topic-tagged question banks, full papers marked against the mark scheme and revision notes for every topic in 9709.

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