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2025

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

Mathematics 9709/32 Oct/Nov 2025 past paper

Cambridge A Level Mathematics (9709) Paper 3 (Pure Mathematics 3), variant 2, 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
45
Open the question paperMark scheme

File names: 9709_w25_qp_32 · 9709_w25_ms_32

Grade thresholds for 9709/32 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
4538322517

Topics in this paper

Which syllabus chapters 9709/32 Oct/Nov 2025 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Trigonometry217
Partial Fractions19
Vectors19
Differentiation18
Polynomials17
Iteration17
Integration16
Complex Numbers15
Indices, Surds and Logs14
Graphs13

Questions in 9709/32 Oct/Nov 2025

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

    Im O P i 3 Re 2 The shaded region in the Argand diagram, bounded by a line and a circle, represents the complex numbers z satisfying Rez 2 G and …

  4. Question 4Integration · 6 marks

    Find the exact value of d tan …

  5. Question 5Polynomials · 7 marks
  6. Question 6Iteration · 7 marks

    (a) By sketching a suitable pair of graphs, show that the equation cot sin …

  7. Question 7Differentiation · 8 marks
  8. Question 8Trigonometry · 8 marks

    (a) Prove the identity sin sin cos …

  9. Question 9Partial Fractions · 9 marks
  10. Question 10Trigonometry · 9 marks

    h cm 50 cm 50 cm The diagram shows a tank for holding water. The tank is in the shape of a cube of side 50 cm. At time t seconds, the depth of water in the tank is h …

  11. Question 11Vectors · 9 marks

    B M A O C Relative to the origin O, the position vectors of the points A, B and C are i j OA …

Other Mathematics papers from Oct/Nov 2025

Questions students ask

Where can I get the 9709/32 Oct/Nov 2025 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_w25_ms_32), and on a wide screen it sits beside the question you are reading.
What was the grade threshold for an A in 9709/32 Oct/Nov 2025?
45 marks out of 75, a C needed 32.
Which topics came up in 9709/32 Oct/Nov 2025?
Mostly Trigonometry, Partial Fractions, Vectors. The full list is in the table above.
Do I need an account to open 9709/32 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.