Cambridge International AS and A Level Mathematics (9709)

A Level Maths, one line of working at a time.

Pure, Mechanics or Statistics: your tutor sets out each method, lets you do the next line, and marks your working the way 9709 examiners do.

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Find dy/dx when y = (3x² − 1)⁵.[2 marks]

This is worth 2 marks. They go for:

  • Use the chain rule: dy/dx = 5(3x² − 1)⁴ × 6x (1 mark)
  • Simplify: dy/dx = 30x(3x² − 1)⁴ (1 mark)

Examiner tip: Show the chain-rule step before simplifying, so a slip in the last line doesn’t cost the method mark.

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Assessment

How Cambridge International AS and A Level Mathematics is assessed

AS Level is two papers: Paper 1 with Paper 2, 4 or 5. The full A Level is four papers: Papers 1 and 3, plus Papers 4 and 5, or Papers 5 and 6. The Paper 1 and 2 route is AS only and can’t be carried forward to A Level.

Syllabus 9709, for exams in 2026 and 2027. Cambridge has published a new syllabus for 2028 onwards.

Pure Mathematics

  • Paper 1: Pure Mathematics 1

    10–12 structured questions, needed for AS and A Level

    Time
    1 h 50 min
    Marks
    75
    Weight
    60% of AS, 30% of A Level
  • Paper 2: Pure Mathematics 2

    6–8 structured questions

    Time
    1 h 15 min
    Marks
    50
    Weight
    40% of AS (AS only)
  • Paper 3: Pure Mathematics 3

    9–11 structured questions, needed for A Level

    Time
    1 h 50 min
    Marks
    75
    Weight
    30% of A Level

Mechanics and Statistics

  • Paper 4: Mechanics

    6–8 structured questions

    Time
    1 h 15 min
    Marks
    50
    Weight
    40% of AS, 20% of A Level
  • Paper 5: Probability and Statistics 1

    6–8 structured questions

    Time
    1 h 15 min
    Marks
    50
    Weight
    40% of AS, 20% of A Level
  • Paper 6: Probability and Statistics 2

    6–8 structured questions, A Level only

    Time
    1 h 15 min
    Marks
    50
    Weight
    20% of A Level

There is no coursework. Every paper is a written exam.

From the official Cambridge International syllabus, checked October 2026. Read the syllabus

Syllabus content

What’s on the Cambridge International A Level Maths syllabus

AS Level

  • Pure 1: quadratics, functions, coordinate geometry, circular measure, trigonometry, series, differentiation, integration
  • Pure 2: algebra, logarithms and exponentials, trigonometry, calculus, numerical solutions
  • Mechanics: forces, kinematics, momentum, Newton’s laws, energy, work and power
  • Statistics 1: data, permutations and combinations, probability, discrete random variables, the normal distribution

A Level

  • Pure 3: algebra, calculus, numerical solutions, vectors, differential equations, complex numbers
  • Statistics 2: the Poisson distribution, random variables, sampling and estimation, hypothesis tests

Where marks are lost

Common Cambridge International A Level Maths mistakes

  • Giving a decimal when the question says “exact”.

    Exact means keeping surds, π, e or ln in the answer. A rounded decimal, however accurate, isn’t exact.

  • Doing trigonometric calculus in degrees.

    Differentiating or integrating sin and cos only works in radians. Check your calculator mode before you start.

  • Rounding to fewer than 3 significant figures.

    9709 wants non-exact answers to 3 significant figures, and angles in degrees to 1 decimal place, unless the question says otherwise.

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FAQ

Cambridge International A Level Maths questions, answered.

Yes. Tell your tutor which papers you’re taking, and it focuses on Pure, Mechanics or Probability and Statistics content to match.

Yes. Photograph your working and ask your tutor to find the mistake. It points to the line, then lets you fix it.

The paper details here are for exams in 2026 and 2027. Cambridge has published a new syllabus for 2028 onwards, so check with your teacher if you sit later.

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