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2022

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

Mathematics 9709/32 Oct/Nov 2022 past paper

Cambridge A Level Mathematics (9709) Paper 3 (Pure Mathematics 3), variant 2, Oct/Nov 2022: the question paper and its official mark scheme, 10 questions worth 75 marks, with the grade thresholds. Free to open, no account needed.

Questions
10
Marks
75
Grade A from
58
Open the question paperMark scheme

File names: 9709_w22_qp_32 ยท 9709_w22_ms_32

Grade thresholds for 9709/32 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
5850413121

Topics in this paper

Which syllabus chapters 9709/32 Oct/Nov 2022 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Trigonometry216
Partial Fractions110
Iteration19
Complex Numbers18
Vectors18
Integration18
Polynomials16
Differentiation16
Indices, Surds and Logs14

Questions in 9709/32 Oct/Nov 2022

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

    Solve the equation 23xโˆ’1 = 531โˆ’x. Give your answer in the form ln a ln b where a and b are integers.

  2. Question 2Polynomials ยท 6 marks

    The polynomial 2x3 โˆ’x2 + a, where a is a constant, is denoted by px. It is given that โ€ฆ

  3. Question 3Differentiation ยท 6 marks

    The equation of a curve is y = sin x sin 2x. The curve has a stationary point in the interval โ€ฆ

  4. Question 4Trigonometry ยท 8 marks

    (a) Express 4 cos x โˆ’sin x in the form R cosx + !, where โ€ฆ

  5. Question 5Complex Numbers ยท 8 marks

    (a) Solve the equation z2 โˆ’6iz โ€ฆ

  6. Question 6Vectors ยท 8 marks

    Relative to the origin O, the points A, B and C have position vectors given by โˆ’โˆ’ยฟ OA โ€ฆ

  7. Question 7Trigonometry ยท 8 marks

    The variables x and 1 satisfy the di๏ฌ€erential equation x sin21 dx d1 = tan21 โˆ’2 cot 1, for โ€ฆ

  8. Question 8Integration ยท 8 marks

    x y O a The diagram shows part of the curve y = sin x. This part of the curve intersects the x-axis at the point where โ€ฆ

  9. Question 9Iteration ยท 9 marks

    O A B C r 1 rad The diagram shows a semicircle with diameter AB, centre O and radius r. The shaded region is the minor segment on the chord AC and its area is one third of the area โ€ฆ

  10. Question 10Partial Fractions ยท 10 marks

Other Mathematics papers from Oct/Nov 2022

Questions students ask

Where can I get the 9709/32 Oct/Nov 2022 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_w22_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 2022?
58 marks out of 75, a C needed 41.
Which topics came up in 9709/32 Oct/Nov 2022?
Mostly Trigonometry, Partial Fractions, Iteration. The full list is in the table above.
Do I need an account to open 9709/32 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.