2026

Cambridge A Level ยท 9709 ยท Paper 3 ยท Pure Mathematics 3

Mathematics 9709/31 May/June 2026 past paper

Cambridge A Level Mathematics (9709) Paper 3 (Pure Mathematics 3), variant 1, May/June 2026: the question paper and its official mark scheme, 11 questions worth 75 marks. Free to open, no account needed.

Questions
11
Marks
75

File names: 9709_s26_qp_31 ยท 9709_s26_ms_31

Topics in this paper

Which syllabus chapters 9709/31 May/June 2026 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Differentiation325
Complex Numbers211
Polynomials110
Trigonometry17
Vectors17
Integration16
Indices, Surds and Logs15
Inequalities and Modulus14

Questions in 9709/31 May/June 2026

  1. Question 1Inequalities and Modulus ยท 4 marks
  2. Question 2Indices, Surds and Logs ยท 5 marks

    The variables x and y satisfy the equation โ€ฆ

  3. Question 3Differentiation ยท 6 marks
  4. Question 4Complex Numbers ยท 5 marks
  5. Question 5Trigonometry ยท 7 marks

    (a) Show that ( )( ) cos sin cosec sec cot โ€ฆ

  6. Question 6Differentiation ยท 10 marks

    A curve has the equation e cos โ€ฆ

  7. Question 7Complex Numbers ยท 6 marks
  8. Question 8Integration ยท 6 marks
  9. Question 9Vectors ยท 7 marks

    The points A and B have position vectors โ€ฆ

  10. Question 10Polynomials ยท 10 marks
  11. Question 11Differentiation ยท 9 marks

    (a) By differentiating sin cos โ€ฆ

Other Mathematics papers from May/June 2026

Questions students ask

Where can I get the 9709/31 May/June 2026 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_s26_ms_31), and on a wide screen it sits beside the question you are reading.
Which topics came up in 9709/31 May/June 2026?
Mostly Differentiation, Complex Numbers, Polynomials. The full list is in the table above.
Do I need an account to open 9709/31 May/June 2026?
No. Every paper opens for free without signing in. A free account also saves your pen marks and records your score against the grade thresholds.