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2022

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

Mathematics 9709/31 Oct/Nov 2022 past paper

Cambridge A Level Mathematics (9709) Paper 3 (Pure Mathematics 3), variant 1, Oct/Nov 2022: 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
58
Open the question paperMark scheme

File names: 9709_w22_qp_31 ยท 9709_w22_ms_31

Grade thresholds for 9709/31 Oct/Nov 2022

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
5851423323

Topics in this paper

Which syllabus chapters 9709/31 Oct/Nov 2022 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Trigonometry212
Vectors111
Differentiation110
Polynomials110
Complex Numbers28
Iteration18
Differential Equations18
Graphs14
Indices, Surds and Logs14

Questions in 9709/31 Oct/Nov 2022

  1. Question 1Graphs 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‰ค3, Rez โ‰ฅโˆ’2 and 1 4ฯ€ โ‰คarg z โ‰คฯ€.

  3. Question 3Indices, Surds and Logs ยท 4 marks

    Solve the equation 23xโˆ’1 = 53โˆ’x. Give your answer in the form ln a ln b, where a and b are integers.

  4. Question 4Trigonometry ยท 5 marks
  5. Question 5Complex Numbers ยท 4 marks

    The complex numbers u and w are de๏ฌned by โ€ฆ

  6. Question 6Trigonometry ยท 7 marks
  7. Question 7Iteration ยท 8 marks
  8. Question 8Differential Equations ยท 8 marks

    In a certain chemical reaction the amount, x grams, of a substance is increasing. The di๏ฌ€erential equation satis๏ฌed by x and t, the time in seconds since the reaction began, is dx dt = kxeโˆ’0.1t, where k is a positive โ€ฆ

  9. Question 9Differentiation ยท 10 marks

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

  10. Question 10Polynomials ยท 10 marks
  11. Question 11Vectors ยท 11 marks

Other Mathematics papers from Oct/Nov 2022

Questions students ask

Where can I get the 9709/31 Oct/Nov 2022 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_w22_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 2022?
58 marks out of 75, a C needed 42.
Which topics came up in 9709/31 Oct/Nov 2022?
Mostly Trigonometry, Vectors, Differentiation. The full list is in the table above.
Do I need an account to open 9709/31 Oct/Nov 2022?
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.