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

Mathematics 9709/12 May/June 2025 past paper

Cambridge A Level Mathematics (9709) Paper 1 (Pure Mathematics 1), variant 2, 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: 61

Open the question paper Mark scheme

File names: 9709_s25_qp_12 · 9709_s25_ms_12

Grade thresholds for 9709/12 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.

A	B	C	D	E
61	52	40	28	16

Topics in this paper

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

Chapter	Questions	Marks
Differentiation	2	17
Functions	2	13
Trigonometry	2	12
Sequences	1	10
Coordinate Geometry	1	9
Circular Measure	1	6
Quadratics	1	4
Binomial	1	4

Questions in 9709/12 May/June 2025

Question 1Functions · 4 marks
Question 2Quadratics · 4 marks
Find the coordinates of the points of intersection of the curve and the line with equations xy …
Question 3Binomial · 4 marks
The coefficient of x7 in the expansion of px …
Question 4Differentiation · 5 marks
A point P is moving along the curve with equation y ax …
Question 5Trigonometry · 5 marks
The equation of a curve is cos …
Question 6Circular Measure · 6 marks
O y x P The diagram shows the curve with equation …
Question 7Trigonometry · 7 marks
(a) Prove the identity tan tan sin cos cos cos …
Question 8Coordinate Geometry · 9 marks
O y x A B C The diagram shows the circle with equation …
Question 9Differentiation · 12 marks
The equation of a curve is such that …
Question 10Sequences · 10 marks
(a) The first, second and third terms of an arithmetic progression are 4k, k2 and 8k respectively, where k is a non-zero constant. (i) Find the value of k. (ii) Find the sum of the first 20 terms of the …
Question 11Functions · 9 marks

Other Mathematics papers from May/June 2025

Questions students ask

Where can I get the 9709/12 May/June 2025 mark scheme?

Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_s25_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 May/June 2025?

61 marks out of 75, a C needed 40.

Which topics came up in 9709/12 May/June 2025?

Mostly Differentiation, Functions, Trigonometry. The full list is in the table above.

Do I need an account to open 9709/12 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.