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2022

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

Mathematics 9709/31 May/June 2022 past paper

Cambridge A Level Mathematics (9709) Paper 3 (Pure Mathematics 3), variant 1, 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
53
Open the question paperMark scheme

File names: 9709_s22_qp_31 ยท 9709_s22_ms_31

Grade thresholds for 9709/31 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
5345372818

Topics in this paper

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

ChapterQuestionsMarks
Trigonometry214
Polynomials213
Iteration111
Differentiation19
Vectors19
Complex Numbers18
Linear Law17
Indices, Surds and Logs14

Questions in 9709/31 May/June 2022

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

    Solve the equation 232xโˆ’1 = 4x+1, giving your answer correct to 2 decimal places.

  2. Question 2Polynomials ยท 5 marks

    (a) Expand 2 โˆ’x2โˆ’2 in ascending powers of x, up to and including the term in x4, simplifying the coe๏ฌƒcients. (b) State the set of values of x for which the expansion is valid.

  3. Question 3Trigonometry ยท 6 marks
  4. Question 4Linear Law ยท 7 marks

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

  5. Question 5Polynomials ยท 8 marks

    The polynomial ax3 โˆ’10x2 + bx + 8, where a and b are constants, is denoted by px. It is given that x โˆ’2 is a factor of both px and pโ€ฒx. (a) Find the values of a and b. โ€ฆ

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

    The complex number u is de๏ฌned by โ€ฆ

  8. Question 8Differentiation ยท 9 marks
  9. Question 9Vectors ยท 9 marks
  10. Question 10Iteration ยท 11 marks

Other Mathematics papers from May/June 2022

Questions students ask

Where can I get the 9709/31 May/June 2022 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_s22_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 May/June 2022?
53 marks out of 75, a C needed 37.
Which topics came up in 9709/31 May/June 2022?
Mostly Trigonometry, Polynomials, Iteration. The full list is in the table above.
Do I need an account to open 9709/31 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.