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2025

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

Mathematics 9709/35 May/June 2025 past paper

Cambridge A Level Mathematics (9709) Paper 3 (Pure Mathematics 3), variant 5, 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
55
Open the question paperMark scheme

File names: 9709_s25_qp_35 · 9709_s25_ms_35

Grade thresholds for 9709/35 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
5549382716

Topics in this paper

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

ChapterQuestionsMarks
Trigonometry214
Complex Numbers210
Iteration19
Polynomials19
Differentiation18
Vectors18
Differential Equations18
Linear Law15
Indices, Surds and Logs14

Questions in 9709/35 May/June 2025

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

    The complex numbers s and t are given by …

  4. Question 4Linear Law · 5 marks

    Find the exact coordinates of the stationary point of the curve with equation ln …

  5. Question 5Complex Numbers · 6 marks

    Im O Re The diagram shows the locus of points representing the complex numbers, z, satisfying …

  6. Question 6Trigonometry · 9 marks

    The parametric equations of a curve are cos …

  7. Question 7Differentiation · 8 marks

    The equation of a curve is ( ) tan …

  8. Question 8Iteration · 9 marks

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

  9. Question 9Polynomials · 9 marks
  10. Question 10Vectors · 8 marks

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

  11. Question 11Differential Equations · 8 marks

    The variables x and y satisfy the differential equation …

Other Mathematics papers from May/June 2025

Questions students ask

Where can I get the 9709/35 May/June 2025 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_s25_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 May/June 2025?
55 marks out of 75, a C needed 38.
Which topics came up in 9709/35 May/June 2025?
Mostly Trigonometry, Complex Numbers, Iteration. The full list is in the table above.
Do I need an account to open 9709/35 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.