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2025

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

Mathematics 9709/12 Oct/Nov 2025 past paper

Cambridge A Level Mathematics (9709) Paper 1 (Pure Mathematics 1), variant 2, Oct/Nov 2025: the question paper and its official mark scheme, 10 questions worth 75 marks, with the grade thresholds. Free to open, no account needed.

Questions
10
Marks
75
Grade A from
60
Open the question paperMark scheme

File names: 9709_w25_qp_12 · 9709_w25_ms_12

Grade thresholds for 9709/12 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
6051392716

Topics in this paper

Which syllabus chapters 9709/12 Oct/Nov 2025 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Coordinate Geometry217
Circular Measure217
Sequences214
Functions213
Trigonometry19
Quadratics15

Questions in 9709/12 Oct/Nov 2025

  1. Question 1Quadratics · 5 marks
  2. Question 2Sequences · 3 marks

    Find the term independent of x in the expansion of …

  3. Question 3Functions · 5 marks
  4. Question 4Coordinate Geometry · 6 marks

    The equation of a curve is such that x y kx …

  5. Question 5Circular Measure · 8 marks

    O y x a b The equation of a curve is …

  6. Question 6Trigonometry · 9 marks
  7. Question 7Coordinate Geometry · 11 marks

    The coordinates of the points P and Q are (1, 1) and (7, 11) respectively. The line segment PQ forms a diameter of a circle. (a) Find the equation of the circle. (b) Find the equation of the tangent to …

  8. Question 8Sequences · 11 marks

    The first three terms of a geometric progression are a, b and c respectively, where a, b and c are positive constants. The first three terms of an arithmetic progression are a, b and -3c respectively. (a) Show that a …

  9. Question 9Functions · 8 marks
  10. Question 10Circular Measure · 9 marks

Other Mathematics papers from Oct/Nov 2025

Questions students ask

Where can I get the 9709/12 Oct/Nov 2025 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_w25_ms_12), and on a wide screen it sits beside the question you are reading.
What was the grade threshold for an A in 9709/12 Oct/Nov 2025?
60 marks out of 75, a C needed 39.
Which topics came up in 9709/12 Oct/Nov 2025?
Mostly Coordinate Geometry, Circular Measure, Sequences. The full list is in the table above.
Do I need an account to open 9709/12 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.