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2025

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

Mathematics 9709/35 Oct/Nov 2025 past paper

Cambridge A Level Mathematics (9709) Paper 3 (Pure Mathematics 3), variant 5, 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
60
Open the question paperMark scheme

File names: 9709_w25_qp_35 · 9709_w25_ms_35

Grade thresholds for 9709/35 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
6051423221

Topics in this paper

Which syllabus chapters 9709/35 Oct/Nov 2025 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Trigonometry215
Indices, Surds and Logs210
Vectors110
Iteration110
Complex Numbers29
Differential Equations19
Integration18
Graphs14

Questions in 9709/35 Oct/Nov 2025

  1. Question 1Graphs · 4 marks
  2. Question 2Complex Numbers · 4 marks

    On a sketch of an Argand diagram, shade the region which represents complex numbers z satisfying both the inequalities …

  3. Question 3Indices, Surds and Logs · 5 marks

    The variables x and y satisfy the equation Ay bx = , where A and b are constants. (a) Show that the graph of lny against x is a straight line. (b) When …

  4. Question 4Indices, Surds and Logs · 5 marks

    The equation of a curve is . ln ln ln …

  5. Question 5Complex Numbers · 5 marks

    Find the complex numbers, z, which satisfy the equation * . zz …

  6. Question 6Trigonometry · 6 marks

    A curve has equation . sin tan …

  7. Question 7Integration · 8 marks
  8. Question 8Trigonometry · 9 marks
  9. Question 9Vectors · 10 marks

    The equations of two lines are given by …

  10. Question 10Iteration · 10 marks
  11. Question 11Differential Equations · 9 marks

    A fungal disease is affecting some of the trees in a forest. The fraction of the trees affected after t years is denoted by x. The rate of increase of x is proportional to the product of the fraction of …

Other Mathematics papers from Oct/Nov 2025

Questions students ask

Where can I get the 9709/35 Oct/Nov 2025 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_w25_ms_35), and on a wide screen it sits beside the question you are reading.
What was the grade threshold for an A in 9709/35 Oct/Nov 2025?
60 marks out of 75, a C needed 42.
Which topics came up in 9709/35 Oct/Nov 2025?
Mostly Trigonometry, Indices, Surds and Logs, Vectors. The full list is in the table above.
Do I need an account to open 9709/35 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.