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2025

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

Mathematics 9709/15 Oct/Nov 2025 past paper

Cambridge A Level Mathematics (9709) Paper 1 (Pure Mathematics 1), 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
63
Open the question paperMark scheme

File names: 9709_w25_qp_15 · 9709_w25_ms_15

Grade thresholds for 9709/15 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
6355433118

Topics in this paper

Which syllabus chapters 9709/15 Oct/Nov 2025 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Circular Measure214
Differentiation114
Quadratics211
Functions19
Coordinate Geometry28
Trigonometry17
Binomial17
Sequences15

Questions in 9709/15 Oct/Nov 2025

  1. Question 1Coordinate Geometry · 5 marks

    A circle has centre (2, 6) and radius 10. (a) State the equation of the circle. (b) The circle passes through the point (8, k). Find the two possible values of k.

  2. Question 2Sequences · 5 marks

    A geometric progression has first term …

  3. Question 3Coordinate Geometry · 3 marks
  4. Question 4Circular Measure · 7 marks
  5. Question 5Quadratics · 3 marks
  6. Question 6Trigonometry · 7 marks

    (a) Show that the equation sin n tan si …

  7. Question 7Quadratics · 8 marks

    r cm h cm A manufacturer wishes to design an open cylindrical tank, as shown in the diagram. The tank will have a base but no top. The outside of the tank will have a fixed surface area of 600r …

  8. Question 8Circular Measure · 7 marks

    a O 2a x y The diagram shows the curve with equation …

  9. Question 9Binomial · 7 marks
  10. Question 10Functions · 9 marks
  11. Question 11Differentiation · 14 marks

    O x y P The diagram shows the curve with equation …

Other Mathematics papers from Oct/Nov 2025

Questions students ask

Where can I get the 9709/15 Oct/Nov 2025 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_w25_ms_15), and on a wide screen it sits beside the question you are reading.
What was the grade threshold for an A in 9709/15 Oct/Nov 2025?
63 marks out of 75, a C needed 43.
Which topics came up in 9709/15 Oct/Nov 2025?
Mostly Circular Measure, Differentiation, Quadratics. The full list is in the table above.
Do I need an account to open 9709/15 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.