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2022

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

Mathematics 9709/33 Oct/Nov 2022 past paper

Cambridge A Level Mathematics (9709) Paper 3 (Pure Mathematics 3), variant 3, 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
57
Open the question paperMark scheme

File names: 9709_w22_qp_33 ยท 9709_w22_ms_33

Grade thresholds for 9709/33 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
5749413223

Topics in this paper

Which syllabus chapters 9709/33 Oct/Nov 2022 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Trigonometry213
Complex Numbers212
Partial Fractions110
Vectors19
Differential Equations19
Iteration18
Binomial15
Integration15
Indices, Surds and Logs14

Questions in 9709/33 Oct/Nov 2022

  1. Question 1Indices, Surds and Logs ยท 4 marks
  2. Question 2Binomial ยท 5 marks

    Expand 1 + 2x 1 โˆ’2x in ascending powers of x, up to and including the term in x2, simplifying the coe๏ฌƒcients.

  3. Question 3Integration ยท 5 marks
  4. Question 4Trigonometry ยท 5 marks

    The parametric equations of a curve are โ€ฆ

  5. Question 5Complex Numbers ยท 6 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 6Complex Numbers ยท 6 marks
  7. Question 7Trigonometry ยท 8 marks

    (a) Show that the equation  5 sec x + tan โ€ฆ

  8. Question 8Iteration ยท 8 marks
  9. Question 9Vectors ยท 9 marks

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

  10. Question 10Differential Equations ยท 9 marks

    A gardener is ๏ฌlling an ornamental pool with water, using a hose that delivers 30 litres of water per minute. Initially the pool is empty. At time t minutes after ๏ฌlling begins the volume of water in the pool is โ€ฆ

  11. Question 11Partial Fractions ยท 10 marks

Other Mathematics papers from Oct/Nov 2022

Questions students ask

Where can I get the 9709/33 Oct/Nov 2022 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_w22_ms_33), and on a wide screen it sits beside the question you are reading.
What was the grade threshold for an A in 9709/33 Oct/Nov 2022?
57 marks out of 75, a C needed 41.
Which topics came up in 9709/33 Oct/Nov 2022?
Mostly Trigonometry, Complex Numbers, Partial Fractions. The full list is in the table above.
Do I need an account to open 9709/33 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.