2020

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

Mathematics 9709/31 Oct/Nov 2020 past paper

Cambridge A Level Mathematics (9709) Paper 3 (Pure Mathematics 3), variant 1, Oct/Nov 2020: 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
62

File names: 9709_w20_qp_31 ยท 9709_w20_ms_31

Grade thresholds for 9709/31 Oct/Nov 2020

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
6254453626

Topics in this paper

Which syllabus chapters 9709/31 Oct/Nov 2020 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Polynomials214
Trigonometry212
Complex Numbers211
Vectors111
Differentiation110
Indices, Surds and Logs16
Differential Equations16
Iteration15

Questions in 9709/31 Oct/Nov 2020

  1. Question 1Polynomials ยท 4 marks
  2. Question 2Complex Numbers ยท 4 marks

    On a sketch of an Argand diagram, shade the region whose points represent complex numbers z satisfying the inequalities z โ‰ฅ2 and โ€ฆ

  3. Question 3Trigonometry ยท 5 marks

    The parametric equations of a curve are โ€ฆ

  4. Question 4Indices, Surds and Logs ยท 6 marks
  5. Question 5Iteration ยท 5 marks

    (a) By sketching a suitable pair of graphs, show that the equation cosec โ€ฆ

  6. Question 6Trigonometry ยท 7 marks
  7. Question 7Complex Numbers ยท 7 marks
  8. Question 8Differential Equations ยท 6 marks

    The coordinates x, y of a general point of a curve satisfy the di๏ฌ€erential equation xdy dx โ€ฆ

  9. Question 9Polynomials ยท 10 marks
  10. Question 10Differentiation ยท 10 marks

    x y O M The diagram shows the curve โ€ฆ

  11. Question 11Vectors ยท 11 marks

Other Mathematics papers from Oct/Nov 2020

Questions students ask

Where can I get the 9709/31 Oct/Nov 2020 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_w20_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 Oct/Nov 2020?
62 marks out of 75, a C needed 45.
Which topics came up in 9709/31 Oct/Nov 2020?
Mostly Polynomials, Trigonometry, Complex Numbers. The full list is in the table above.
Do I need an account to open 9709/31 Oct/Nov 2020?
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.