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2021

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

Mathematics 9709/32 Oct/Nov 2021 past paper

Cambridge A Level Mathematics (9709) Paper 3 (Pure Mathematics 3), variant 2, Oct/Nov 2021: 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
50
Open the question paperMark scheme

File names: 9709_w21_qp_32 ยท 9709_w21_ms_32

Grade thresholds for 9709/32 Oct/Nov 2021

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
5041332414

Topics in this paper

Which syllabus chapters 9709/32 Oct/Nov 2021 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Complex Numbers213
Trigonometry213
Iteration111
Vectors110
Differentiation18
Linear Law17
Partial Fractions15
Indices, Surds and Logs14
Polynomials14

Questions in 9709/32 Oct/Nov 2021

  1. Question 1Indices, Surds and Logs ยท 4 marks

    Find the value of x for which โ€ฆ

  2. Question 2Polynomials ยท 4 marks
  3. Question 3Complex Numbers ยท 6 marks

    (a) Given the complex numbers โ€ฆ

  4. Question 4Partial Fractions ยท 5 marks
  5. Question 5Complex Numbers ยท 7 marks

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

  6. Question 6Trigonometry ยท 6 marks

    (a) Using the expansions of sin3x + 2x and sin3x โˆ’2x, show that 1 2sin 5x + sin x ย sin 3x cos 2x. (b) Hence show that โ€ฆ

  7. Question 7Linear Law ยท 7 marks

    The variables x and y satisfy the di๏ฌ€erential equation e2x dy dx = 4xy2, and it is given that โ€ฆ

  8. Question 8Trigonometry ยท 7 marks

    (a) By ๏ฌrst expanding cos21 + sin212, show that cos41 + sin41 โ€ฆ

  9. Question 9Differentiation ยท 8 marks

    The equation of a curve is ye2x โˆ’y2ex โ€ฆ

  10. Question 10Vectors ยท 10 marks

    With respect to the origin O, the position vectors of the points A and B are given by โˆ’โˆ’ยฟ OA โ€ฆ

  11. Question 11Iteration ยท 11 marks

Other Mathematics papers from Oct/Nov 2021

Questions students ask

Where can I get the 9709/32 Oct/Nov 2021 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_w21_ms_32), and on a wide screen it sits beside the question you are reading.
What was the grade threshold for an A in 9709/32 Oct/Nov 2021?
50 marks out of 75, a C needed 33.
Which topics came up in 9709/32 Oct/Nov 2021?
Mostly Complex Numbers, Trigonometry, Iteration. The full list is in the table above.
Do I need an account to open 9709/32 Oct/Nov 2021?
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.