PrepWithTee owl logo PrepWithTee
2023

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

Mathematics 9709/32 Oct/Nov 2023 past paper

Cambridge A Level Mathematics (9709) Paper 3 (Pure Mathematics 3), variant 2, Oct/Nov 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
54
Open the question paperMark scheme

File names: 9709_w23_qp_32 ยท 9709_w23_ms_32

Grade thresholds for 9709/32 Oct/Nov 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
5445393224

Topics in this paper

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

ChapterQuestionsMarks
Differentiation213
Complex Numbers213
Vectors19
Linear Law19
Trigonometry18
Iteration17
Integration16
Graphs15
Polynomials15

Questions in 9709/32 Oct/Nov 2023

  1. Question 1Graphs ยท 5 marks
  2. Question 2Differentiation ยท 4 marks

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

  3. Question 3Polynomials ยท 5 marks
  4. Question 4Complex Numbers ยท 6 marks

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

  5. Question 5Integration ยท 6 marks

    Find the exact value of ร” 0 xx โ€ฆ

  6. Question 6Iteration ยท 7 marks

    (a) By sketching a suitable pair of graphs, show that the equation cotx = 2 โˆ’cosx has one root in the interval โ€ฆ

  7. Question 7Trigonometry ยท 8 marks
  8. Question 8Complex Numbers ยท 7 marks
  9. Question 9Differentiation ยท 9 marks
  10. Question 10Vectors ยท 9 marks

    The equations of the lines l and m are given by โ€ฆ

  11. Question 11Linear Law ยท 9 marks

    The variables x and y satisfy the di๏ฌ€erential equation x2 dy dx โ€ฆ

Other Mathematics papers from Oct/Nov 2023

Questions students ask

Where can I get the 9709/32 Oct/Nov 2023 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_w23_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 Oct/Nov 2023?
54 marks out of 75, a C needed 39.
Which topics came up in 9709/32 Oct/Nov 2023?
Mostly Differentiation, Complex Numbers, Vectors. The full list is in the table above.
Do I need an account to open 9709/32 Oct/Nov 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.