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2021

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

Mathematics 9709/32 May/June 2021 past paper

Cambridge A Level Mathematics (9709) Paper 3 (Pure Mathematics 3), variant 2, May/June 2021: 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
54
Open the question paperMark scheme

File names: 9709_s21_qp_32 ยท 9709_s21_ms_32

Grade thresholds for 9709/32 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
5446372819

Topics in this paper

Which syllabus chapters 9709/32 May/June 2021 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Polynomials214
Iteration110
Vectors110
Complex Numbers29
Differentiation18
Trigonometry17
Differential Equations17
Linear Law15
Integration15

Questions in 9709/32 May/June 2021

  1. Question 1Polynomials ยท 4 marks
  2. Question 2Complex Numbers ยท 4 marks

    On a sketch of an Argand diagram, shade the region whose points represent complex numbers z satisfying the inequalities โ€ฆ

  3. Question 3Linear Law ยท 5 marks

    The variables x and y satisfy the equation โ€ฆ

  4. Question 4Integration ยท 5 marks

    Using integration by parts, ๏ฌnd the exact value of โ€ฆ

  5. Question 5Complex Numbers ยท 5 marks

    The complex number u is given by โ€ฆ

  6. Question 6Trigonometry ยท 7 marks

    (a) Prove that cosec 21 โˆ’cot 21 ย tan 1. (b) Hence show that โ€ฆ

  7. Question 7Differential Equations ยท 7 marks

    A curve is such that the gradient at a general point with coordinates x, y is proportional to โ€ฆ

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

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

Other Mathematics papers from May/June 2021

Questions students ask

Where can I get the 9709/32 May/June 2021 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_s21_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 2021?
54 marks out of 75, a C needed 37.
Which topics came up in 9709/32 May/June 2021?
Mostly Polynomials, Iteration, Vectors. The full list is in the table above.
Do I need an account to open 9709/32 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.