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2025

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

Mathematics 9709/33 May/June 2025 past paper

Cambridge A Level Mathematics (9709) Paper 3 (Pure Mathematics 3), variant 3, May/June 2025: the question paper and its official mark scheme, 11 questions worth 75 marks, with the grade thresholds. Free to open, no account needed.

Questions
11
Marks
75
Grade A from
52
Open the question paperMark scheme

File names: 9709_s25_qp_33 · 9709_s25_ms_33

Grade thresholds for 9709/33 May/June 2025

The minimum raw marks Cambridge set for each grade on this component (out of 75). Thresholds change every session and variant, so always compare your score with the paper you actually sat.

ABCDE
5246362616

Topics in this paper

Which syllabus chapters 9709/33 May/June 2025 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Trigonometry214
Complex Numbers212
Iteration111
Differential Equations110
Polynomials18
Vectors18
Graphs14
Indices, Surds and Logs14
Integration14

Questions in 9709/33 May/June 2025

  1. Question 1Graphs · 4 marks
  2. Question 2Indices, Surds and Logs · 4 marks
  3. Question 3Integration · 4 marks
  4. Question 4Complex Numbers · 6 marks
  5. Question 5Trigonometry · 6 marks

    The equation of a curve is xy …

  6. Question 6Complex Numbers · 6 marks

    Find the complex numbers z for which …

  7. Question 7Polynomials · 8 marks
  8. Question 8Trigonometry · 8 marks

    (a) Prove the identity cot tan cot cosec …

  9. Question 9Vectors · 8 marks

    With respect to the origin O, the points A, B and C have position vectors given by , OA …

  10. Question 10Differential Equations · 10 marks

    The variables x and y satisfy the differential equation sin sin sin …

  11. Question 11Iteration · 11 marks

Other Mathematics papers from May/June 2025

Questions students ask

Where can I get the 9709/33 May/June 2025 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_s25_ms_33), and on a wide screen it sits beside the question you are reading.
What was the grade threshold for an A in 9709/33 May/June 2025?
52 marks out of 75, a C needed 36.
Which topics came up in 9709/33 May/June 2025?
Mostly Trigonometry, Complex Numbers, Iteration. The full list is in the table above.
Do I need an account to open 9709/33 May/June 2025?
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.