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2023

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

Mathematics 9709/33 May/June 2023 past paper

Cambridge A Level Mathematics (9709) Paper 3 (Pure Mathematics 3), variant 3, 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
57
Open the question paperMark scheme

File names: 9709_s23_qp_33 ยท 9709_s23_ms_33

Grade thresholds for 9709/33 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
5751423425

Topics in this paper

Which syllabus chapters 9709/33 May/June 2023 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Polynomials213
Complex Numbers213
Vectors110
Trigonometry18
Integration18
Linear Law18
Iteration16
Differentiation15
Indices, Surds and Logs14

Questions in 9709/33 May/June 2023

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

    Find the quotient and remainder when 2x4 โˆ’27 is divided by โ€ฆ

  3. Question 3Complex 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

  4. Question 4Differentiation ยท 5 marks

    The parametric equations of a curve are x = cos 1 2 โˆ’sin โ€ฆ

  5. Question 5Iteration ยท 6 marks
  6. Question 6Trigonometry ยท 8 marks
  7. Question 7Integration ยท 8 marks

    (a) Use the substitution u = cosx to show that โ€ฆ

  8. Question 8Linear Law ยท 8 marks

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

  9. Question 9Vectors ยท 10 marks

    The lines l and m have equations โ€ฆ

  10. Question 10Polynomials ยท 10 marks
  11. Question 11Complex Numbers ยท 9 marks

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

Other Mathematics papers from May/June 2023

Questions students ask

Where can I get the 9709/33 May/June 2023 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_s23_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 2023?
57 marks out of 75, a C needed 42.
Which topics came up in 9709/33 May/June 2023?
Mostly Polynomials, Complex Numbers, Vectors. The full list is in the table above.
Do I need an account to open 9709/33 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.