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2026

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

Mathematics 9709/15 May/June 2026 past paper

Cambridge A Level Mathematics (9709) Paper 1 (Pure Mathematics 1), variant 5, May/June 2026: the question paper and its official mark scheme, 12 questions worth 75 marks. Free to open, no account needed.

Questions
12
Marks
75
Open the question paperMark scheme

File names: 9709_s26_qp_15 · 9709_s26_ms_15

Topics in this paper

Which syllabus chapters 9709/15 May/June 2026 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Quadratics315
Differentiation29
Coordinate Geometry19
Sequences19
Functions18
Trigonometry17
Integration17
Binomial16
Circular Measure15

Questions in 9709/15 May/June 2026

  1. Question 1Quadratics · 5 marks

    Solve the simultaneous equations …

  2. Question 2Differentiation · 3 marks

    A tank is being filled with water at a rate of cm …

  3. Question 3Binomial · 6 marks

    The coefficient of x4 in the expansion of …

  4. Question 4Differentiation · 6 marks
  5. Question 5Quadratics · 6 marks
  6. Question 6Quadratics · 4 marks

    Find the set of values of k for which the line …

  7. Question 7Trigonometry · 7 marks

    (a) Prove the identity tan sin cos cos …

  8. Question 8Circular Measure · 5 marks
  9. Question 9Functions · 8 marks
  10. Question 10Integration · 7 marks

    y x O The diagram shows the curve with equation …

  11. Question 11Coordinate Geometry · 9 marks

    y x O A B In the diagram, AB is a chord of the circle with equation …

  12. Question 12Sequences · 9 marks

    (a) The first term of an arithmetic progression is 5730 and the common difference is –23. Find the value of the first negative term. (b) The first term of a geometric progression is sin i and the second term is …

Other Mathematics papers from May/June 2026

Questions students ask

Where can I get the 9709/15 May/June 2026 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_s26_ms_15), and on a wide screen it sits beside the question you are reading.
Which topics came up in 9709/15 May/June 2026?
Mostly Quadratics, Differentiation, Coordinate Geometry. The full list is in the table above.
Do I need an account to open 9709/15 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.