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2023

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

Mathematics 9709/32 May/June 2023 past paper

Cambridge A Level Mathematics (9709) Paper 3 (Pure Mathematics 3), variant 2, May/June 2023: 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
52
Open the question paperMark scheme

File names: 9709_s23_qp_32 ยท 9709_s23_ms_32

Grade thresholds for 9709/32 May/June 2023

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
5245362717

Topics in this paper

Which syllabus chapters 9709/32 May/June 2023 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Differentiation219
Complex Numbers210
Partial Fractions110
Vectors19
Linear Law18
Iteration17
Trigonometry15
Polynomials14
Indices, Surds and Logs13

Questions in 9709/32 May/June 2023

  1. Question 1Polynomials ยท 4 marks
  2. Question 2Indices, Surds and Logs ยท 3 marks
  3. Question 3Complex Numbers ยท 4 marks

    (a) On an Argand diagram, sketch the locus of points representing complex numbers z satisfying โ€ฆ

  4. Question 4Trigonometry ยท 5 marks

    Solve the equation 2 cosx โˆ’cos โ€ฆ

  5. Question 5Complex Numbers ยท 6 marks

    The complex number 2 + yi is denoted by a, where y is a real number and โ€ฆ

  6. Question 6Iteration ยท 7 marks
  7. Question 7Differentiation ยท 9 marks

    The equation of a curve is 3x2 + 4xy โ€ฆ

  8. Question 8Linear Law ยท 8 marks

    (a) The variables x and y satisfy the di๏ฌ€erential equation dy dx โ€ฆ

  9. Question 9Partial Fractions ยท 10 marks
  10. Question 10Differentiation ยท 10 marks

    x y O M The diagram shows the curve โ€ฆ

  11. Question 11Vectors ยท 9 marks

    The points A and B have position vectors โ€ฆ

Other Mathematics papers from May/June 2023

Questions students ask

Where can I get the 9709/32 May/June 2023 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_s23_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 2023?
52 marks out of 75, a C needed 36.
Which topics came up in 9709/32 May/June 2023?
Mostly Differentiation, Complex Numbers, Partial Fractions. The full list is in the table above.
Do I need an account to open 9709/32 May/June 2023?
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.