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2022

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

Mathematics 9709/33 May/June 2022 past paper

Cambridge A Level Mathematics (9709) Paper 3 (Pure Mathematics 3), variant 3, 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_33 ยท 9709_s22_ms_33

Grade thresholds for 9709/33 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
5751433627

Topics in this paper

Which syllabus chapters 9709/33 May/June 2022 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Trigonometry318
Polynomials214
Iteration110
Differential Equations19
Vectors19
Complex Numbers18
Differentiation17

Questions in 9709/33 May/June 2022

  1. Question 1Polynomials ยท 4 marks

    Find, in terms of a, the set of values of x satisfying the inequality โ€ฆ

  2. Question 2Trigonometry ยท 5 marks
  3. Question 3Trigonometry ยท 5 marks

    (a) Show that the equation log32x โ€ฆ

  4. Question 4Differentiation ยท 7 marks

    The curve y = eโˆ’4x tan x has two stationary points in the interval โ€ฆ

  5. Question 5Complex Numbers ยท 8 marks

    The complex number 3 โˆ’i is denoted by u. (a) Show, on an Argand diagram with origin O, the points A, B and C representing the complex numbers u, u* and u* โˆ’u respectively. State the type of quadrilateral formed โ€ฆ

  6. Question 6Trigonometry ยท 8 marks

    The parametric equations of a curve are โ€ฆ

  7. Question 7Polynomials ยท 10 marks
  8. Question 8Differential Equations ยท 9 marks

    At time t days after the start of observations, the number of insects in a population is N. The variation in the number of insects is modelled by a di๏ฌ€erential equation of the form dN dt = kN 3 2 โ€ฆ

  9. Question 9Vectors ยท 9 marks

    With respect to the origin O, the point A has position vector given by โˆ’โˆ’ยฟ OA โ€ฆ

  10. Question 10Iteration ยท 10 marks

Other Mathematics papers from May/June 2022

Questions students ask

Where can I get the 9709/33 May/June 2022 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_s22_ms_33), and on a wide screen it sits beside the question you are reading.
What was the grade threshold for an A in 9709/33 May/June 2022?
57 marks out of 75, a C needed 43.
Which topics came up in 9709/33 May/June 2022?
Mostly Trigonometry, Polynomials, Iteration. The full list is in the table above.
Do I need an account to open 9709/33 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.