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2025

Cambridge A Level · 9709 · Paper 1 · Pure Mathematics 1

Mathematics 9709/13 May/June 2025 past paper

Cambridge A Level Mathematics (9709) Paper 1 (Pure Mathematics 1), 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
62
Open the question paperMark scheme

File names: 9709_s25_qp_13 · 9709_s25_ms_13

Grade thresholds for 9709/13 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
6254412815

Topics in this paper

Which syllabus chapters 9709/13 May/June 2025 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Differentiation322
Sequences210
Functions110
Coordinate Geometry19
Circular Measure18
Binomial16
Trigonometry16
Integration14

Questions in 9709/13 May/June 2025

  1. Question 1Differentiation · 4 marks
  2. Question 2Sequences · 4 marks

    The first two terms of a geometric progression are sin 4 2i, sin 8 3i, where i is an angle such that …

  3. Question 3Integration · 4 marks
  4. Question 4Binomial · 6 marks

    (a) Find the first three terms in the expansion of …

  5. Question 5Trigonometry · 6 marks

    Solve the equation sin tan cos …

  6. Question 6Sequences · 6 marks

    An arithmetic progression has first term a and common difference 2. The N th term is 55 and the sum of the first 3N terms is 5760. Find the values of N and a.

  7. Question 7Differentiation · 7 marks
  8. Question 8Circular Measure · 8 marks
  9. Question 9Coordinate Geometry · 9 marks

    Three points P, Q and R have coordinates …

  10. Question 10Differentiation · 11 marks
  11. Question 11Functions · 10 marks

Other Mathematics papers from May/June 2025

Questions students ask

Where can I get the 9709/13 May/June 2025 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_s25_ms_13), and on a wide screen it sits beside the question you are reading.
What was the grade threshold for an A in 9709/13 May/June 2025?
62 marks out of 75, a C needed 41.
Which topics came up in 9709/13 May/June 2025?
Mostly Differentiation, Sequences, Functions. The full list is in the table above.
Do I need an account to open 9709/13 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.