2026

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

Mathematics 9709/33 May/June 2026 past paper

Cambridge A Level Mathematics (9709) Paper 3 (Pure Mathematics 3), variant 3, 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_33 ยท 9709_s26_ms_33

Topics in this paper

Which syllabus chapters 9709/33 May/June 2026 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Complex Numbers210
Partial Fractions110
Vectors110
Differentiation19
Iteration18
Differential Equations18
Trigonometry16
Integration16
Indices, Surds and Logs14
Inequalities and Modulus14

Questions in 9709/33 May/June 2026

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

    Find the set of values of x satisfying the inequality โ€ฆ

  3. Question 3Complex Numbers ยท 5 marks

    On an Argand diagram, shade the region which represents the complex numbers, z, satisfying the inequalities โ€ฆ

  4. Question 4Trigonometry ยท 6 marks
  5. Question 5Differentiation ยท 9 marks

    (a) The parametric equations of a curve are tan โ€ฆ

  6. Question 6Integration ยท 6 marks

    Use the substitution u x = to find the exact value of cos โ€ฆ

  7. Question 7Complex Numbers ยท 5 marks
  8. Question 8Iteration ยท 8 marks

    (a) By sketching a suitable pair of graphs, show that the equation โ€ฆ

  9. Question 9Partial Fractions ยท 10 marks
  10. Question 10Differential Equations ยท 8 marks

    The variables x and y satisfy the differential equation โ€ฆ

  11. Question 11Vectors ยท 10 marks

    The points A and B have position vectors โ€ฆ

Other Mathematics papers from May/June 2026

Questions students ask

Where can I get the 9709/33 May/June 2026 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_s26_ms_33), and on a wide screen it sits beside the question you are reading.
Which topics came up in 9709/33 May/June 2026?
Mostly Complex Numbers, Partial Fractions, Vectors. The full list is in the table above.
Do I need an account to open 9709/33 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.