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2022

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

Mathematics 9709/32 May/June 2022 past paper

Cambridge A Level Mathematics (9709) Paper 3 (Pure Mathematics 3), variant 2, May/June 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
57
Open the question paperMark scheme

File names: 9709_s22_qp_32 ยท 9709_s22_ms_32

Grade thresholds for 9709/32 May/June 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
5749403121

Topics in this paper

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

ChapterQuestionsMarks
Trigonometry215
Differentiation215
Complex Numbers111
Partial Fractions110
Linear Law18
Iteration17
Polynomials15
Indices, Surds and Logs14

Questions in 9709/32 May/June 2022

  1. Question 1Indices, Surds and Logs ยท 4 marks
  2. Question 2Trigonometry ยท 5 marks
  3. Question 3Polynomials ยท 5 marks

    The polynomial ax3 + x2 + bx + 3 is denoted by px. It is given that px is divisible by 2x โˆ’1 and that when px is divided by โ€ฆ

  4. Question 4Differentiation ยท 6 marks

    The equation of a curve is y = cos3x  sin x. It is given that the curve has one stationary point in the interval โ€ฆ

  5. Question 5Iteration ยท 7 marks

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

  6. Question 6Linear Law ยท 8 marks

    The variables x and y satisfy the di๏ฌ€erential equation dy dx = xeyโˆ’x, and โ€ฆ

  7. Question 7Differentiation ยท 9 marks
  8. Question 8Partial Fractions ยท 10 marks
  9. Question 9Trigonometry ยท 10 marks

    The lines l and m have vector equations โ€ฆ

  10. Question 10Complex Numbers ยท 11 marks

    The complex number โˆ’1 + 7i is denoted by u. It is given that u is a root of the equation โ€ฆ

Other Mathematics papers from May/June 2022

Questions students ask

Where can I get the 9709/32 May/June 2022 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_s22_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 May/June 2022?
57 marks out of 75, a C needed 40.
Which topics came up in 9709/32 May/June 2022?
Mostly Trigonometry, Differentiation, Complex Numbers. The full list is in the table above.
Do I need an account to open 9709/32 May/June 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.