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2025

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

Mathematics 9709/33 Oct/Nov 2025 past paper

Cambridge A Level Mathematics (9709) Paper 3 (Pure Mathematics 3), variant 3, Oct/Nov 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
58
Open the question paperMark scheme

File names: 9709_w25_qp_33 · 9709_w25_ms_33

Grade thresholds for 9709/33 Oct/Nov 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
5849413122

Topics in this paper

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

ChapterQuestionsMarks
Trigonometry218
Differentiation112
Complex Numbers211
Vectors19
Differential Equations18
Polynomials27
Integration16
Indices, Surds and Logs14

Questions in 9709/33 Oct/Nov 2025

  1. Question 1Polynomials · 4 marks
  2. Question 2Polynomials · 3 marks

    Find the quotient and the remainder when …

  3. Question 3Indices, Surds and Logs · 4 marks
  4. Question 4Complex Numbers · 5 marks

    On an Argand diagram shade the region whose points represent complex numbers z which satisfy both the inequalities …

  5. Question 5Trigonometry · 8 marks

    (a) Show that cos sin sin sin …

  6. Question 6Integration · 6 marks
  7. Question 7Complex Numbers · 6 marks
  8. Question 8Trigonometry · 10 marks
  9. Question 9Vectors · 9 marks

    The line l1 passes through the point …

  10. Question 10Differential Equations · 8 marks
  11. Question 11Differentiation · 12 marks

Other Mathematics papers from Oct/Nov 2025

Questions students ask

Where can I get the 9709/33 Oct/Nov 2025 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_w25_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 Oct/Nov 2025?
58 marks out of 75, a C needed 41.
Which topics came up in 9709/33 Oct/Nov 2025?
Mostly Trigonometry, Differentiation, Complex Numbers. The full list is in the table above.
Do I need an account to open 9709/33 Oct/Nov 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.