2025

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

Mathematics 9709/13 Oct/Nov 2025 past paper

Cambridge A Level Mathematics (9709) Paper 1 (Pure Mathematics 1), 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
61

File names: 9709_w25_qp_13 ยท 9709_w25_ms_13

Grade thresholds for 9709/13 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
6154433019

Topics in this paper

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

ChapterQuestionsMarks
Functions321
Coordinate Geometry316
Differentiation113
Circular Measure18
Trigonometry16
Sequences16
Binomial15

Questions in 9709/13 Oct/Nov 2025

  1. Question 1Binomial ยท 5 marks
  2. Question 2Trigonometry ยท 6 marks

    (a) Solve the equation ( ) tan โ€ฆ

  3. Question 3Coordinate Geometry ยท 3 marks
  4. Question 4Sequences ยท 6 marks

    The first, second and third terms of a progression are 20, k and โ€ฆ

  5. Question 5Coordinate Geometry ยท 5 marks

    P Q O ฮธ 4 cm 4 cm rad X 3 cm 4 The diagram shows part of a circle with centre O and radius 4 cm. The chord PQ is of length 4 3cm and angle POQ i = โ€ฆ

  6. Question 6Functions ยท 8 marks
  7. Question 7Functions ยท 4 marks

    The function g is defined by ( )x ax โ€ฆ

  8. Question 8Coordinate Geometry ยท 8 marks
  9. Question 9Circular Measure ยท 8 marks

    y O x The diagram shows part of the curve with equation โ€ฆ

  10. Question 10Functions ยท 9 marks

    A function f is defined by ( )x px โ€ฆ

  11. Question 11Differentiation ยท 13 marks

Other Mathematics papers from Oct/Nov 2025

Questions students ask

Where can I get the 9709/13 Oct/Nov 2025 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_w25_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 Oct/Nov 2025?
61 marks out of 75, a C needed 43.
Which topics came up in 9709/13 Oct/Nov 2025?
Mostly Functions, Coordinate Geometry, Differentiation. The full list is in the table above.
Do I need an account to open 9709/13 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.