PrepWithTee owl logo PrepWithTee
2021

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

Mathematics 9709/31 May/June 2021 past paper

Cambridge A Level Mathematics (9709) Paper 3 (Pure Mathematics 3), variant 1, May/June 2021: 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
52
Open the question paperMark scheme

File names: 9709_s21_qp_31 ยท 9709_s21_ms_31

Grade thresholds for 9709/31 May/June 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
5245372920

Topics in this paper

Which syllabus chapters 9709/31 May/June 2021 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Trigonometry320
Iteration214
Partial Fractions111
Indices, Surds and Logs110
Vectors19
Complex Numbers17
Polynomials14

Questions in 9709/31 May/June 2021

  1. Question 1Polynomials ยท 4 marks
  2. Question 2Iteration ยท 5 marks

    Find the real root of the equation 2ex โ€ฆ

  3. Question 3Trigonometry ยท 6 marks
  4. Question 4Trigonometry ยท 6 marks
  5. Question 5Complex Numbers ยท 7 marks

    (a) Solve the equation z2 โˆ’2piz โ€ฆ

  6. Question 6Trigonometry ยท 8 marks

    The parametric equations of a curve are x = ln2 โ€ฆ

  7. Question 7Iteration ยท 9 marks

    x y O M a The diagram shows the curve y = tanโˆ’1x x and its maximum point M where โ€ฆ

  8. Question 8Vectors ยท 9 marks

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

  9. Question 9Indices, Surds and Logs ยท 10 marks
  10. Question 10Partial Fractions ยท 11 marks

    The variables x and t satisfy the di๏ฌ€erential equation dx dt โ€ฆ

Other Mathematics papers from May/June 2021

Questions students ask

Where can I get the 9709/31 May/June 2021 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_s21_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 2021?
52 marks out of 75, a C needed 37.
Which topics came up in 9709/31 May/June 2021?
Mostly Trigonometry, Iteration, Partial Fractions. The full list is in the table above.
Do I need an account to open 9709/31 May/June 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.