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

Mathematics 9709/15 May/June 2025 past paper

Cambridge A Level Mathematics (9709) Paper 1 (Pure Mathematics 1), variant 5, May/June 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: 64

Open the question paper Mark scheme

File names: 9709_s25_qp_15 · 9709_s25_ms_15

Grade thresholds for 9709/15 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
64	54	40	27	14

Topics in this paper

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

Chapter	Questions	Marks
Coordinate Geometry	3	22
Functions	1	13
Circular Measure	2	11
Differentiation	1	11
Sequences	1	8
Binomial	1	5
Quadratics	1	5

Questions in 9709/15 May/June 2025

Question 1Coordinate Geometry · 4 marks
The equation of a curve is such that …
Question 2Binomial · 5 marks
Question 3Quadratics · 5 marks
(a) Use completing the square to find the exact solutions of the equation …
Question 4Circular Measure · 5 marks
Question 5Circular Measure · 6 marks
D A B C 5 cm 5 cm The diagram shows a sector ABD of a circle with centre A and radius 10 cm. The perpendicular bisector of AB passes through D. (a) Find the perimeter of the shaded region …
Question 6Sequences · 8 marks
Each year, on her birthday, Ananya receives some money from each of her parents. On Ananya’s first birthday, her father gives her $10. Every subsequent year, her father gives her $5 more than he gave her the previous year. On …
Question 7Coordinate Geometry · 9 marks
In the parallelogram ABCD, the coordinates of A are (3, 7), the coordinates of B are (6, p) and the coordinates of D are (1, p). It is given that the gradient of AB is …
Question 8Differentiation · 11 marks
The equation of a curve is y x ax bx …
Question 9Functions · 13 marks
Functions f and g are defined as follows. …
Question 10Coordinate Geometry · 9 marks

Other Mathematics papers from May/June 2025

Questions students ask

Where can I get the 9709/15 May/June 2025 mark scheme?

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

64 marks out of 75, a C needed 40.

Which topics came up in 9709/15 May/June 2025?

Mostly Coordinate Geometry, Functions, Circular Measure. The full list is in the table above.

Do I need an account to open 9709/15 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.