PrepWithTee owl logo PrepWithTee
2026

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

Mathematics 9709/13 May/June 2026 past paper

Cambridge A Level Mathematics (9709) Paper 1 (Pure Mathematics 1), variant 3, May/June 2026: the question paper and its official mark scheme, 11 questions worth 75 marks. Free to open, no account needed.

Questions
11
Marks
75
Open the question paperMark scheme

File names: 9709_s26_qp_13 · 9709_s26_ms_13

Topics in this paper

Which syllabus chapters 9709/13 May/June 2026 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Differentiation321
Coordinate Geometry112
Quadratics29
Binomial18
Trigonometry17
Sequences17
Circular Measure16
Integration15

Questions in 9709/13 May/June 2026

  1. Question 1Quadratics · 5 marks

    (a) Find the coordinates of the points of intersection of the curve …

  2. Question 2Quadratics · 4 marks

    (a) Express x x in the form xn, where n is a rational number. (b) Hence, solve the equation …

  3. Question 3Trigonometry · 7 marks

    (a) Prove the identity cos cos tan sin …

  4. Question 4Differentiation · 7 marks

    The equation of a curve is y x kx …

  5. Question 5Binomial · 8 marks

    (a) Find the first four terms, in ascending powers of x, in the expansion of …

  6. Question 6Differentiation · 7 marks
  7. Question 7Circular Measure · 6 marks

    B C A r m The diagram shows the design for a garden. The points A, B and C form the vertices of an equilateral triangle of side length r metres. The arcs AC and AB are parts of circles …

  8. Question 8Integration · 5 marks

    x O y 1 t The diagram shows part of the curve with equation …

  9. Question 9Differentiation · 7 marks
  10. Question 10Sequences · 7 marks

    The first, second and third terms of a geometric progression are equal to the first, fourth and sixth terms of an arithmetic progression respectively. The first term of both progressions is non-zero. The geometric progression has common ratio r. (a) …

  11. Question 11Coordinate Geometry · 12 marks

Other Mathematics papers from May/June 2026

Questions students ask

Where can I get the 9709/13 May/June 2026 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_s26_ms_13), and on a wide screen it sits beside the question you are reading.
Which topics came up in 9709/13 May/June 2026?
Mostly Differentiation, Coordinate Geometry, Quadratics. The full list is in the table above.
Do I need an account to open 9709/13 May/June 2026?
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.