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2024

Cambridge A Level · 9709 · Paper 3 · Pure Mathematics 3

Mathematics 9709/31 May/June 2024 past paper

Cambridge A Level Mathematics (9709) Paper 3 (Pure Mathematics 3), variant 1, May/June 2024: 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
48
Open the question paperMark scheme

File names: 9709_s24_qp_31 · 9709_s24_ms_31

Grade thresholds for 9709/31 May/June 2024

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
4839312314

Topics in this paper

Which syllabus chapters 9709/31 May/June 2024 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Differential Equations111
Complex Numbers210
Trigonometry110
Iteration19
Vectors19
Differentiation17
Integration17
Binomial14
Indices, Surds and Logs14
Linear Law14

Questions in 9709/31 May/June 2024

  1. Question 1Binomial · 4 marks
  2. Question 2Indices, Surds and Logs · 4 marks
  3. Question 3Linear Law · 4 marks
  4. Question 4Complex Numbers · 4 marks

    The complex number u is given by …

  5. Question 5Differentiation · 7 marks

    The equation of a curve is cos y x esinx 2 = for …

  6. Question 6Iteration · 9 marks

    (a) By sketching a suitable pair of graphs, show that the equation cosec x 3 ex …

  7. Question 7Complex Numbers · 6 marks

    (a) On a single Argand diagram sketch the loci given by the equations …

  8. Question 8Integration · 7 marks
  9. Question 9Vectors · 9 marks

    The equations of two straight lines l1 and l2 are …

  10. Question 10Trigonometry · 10 marks
  11. Question 11Differential Equations · 11 marks

    In a field there are 300 plants of a certain species, all of which can be infected by a particular disease. At time t after the first plant is infected there are x infected plants. The rate of change of …

Other Mathematics papers from May/June 2024

Questions students ask

Where can I get the 9709/31 May/June 2024 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_s24_ms_31), and on a wide screen it sits beside the question you are reading.
What was the grade threshold for an A in 9709/31 May/June 2024?
48 marks out of 75, a C needed 31.
Which topics came up in 9709/31 May/June 2024?
Mostly Differential Equations, Complex Numbers, Trigonometry. The full list is in the table above.
Do I need an account to open 9709/31 May/June 2024?
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.