2024

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

Mathematics 9709/31 Oct/Nov 2024 past paper

Cambridge A Level Mathematics (9709) Paper 3 (Pure Mathematics 3), variant 1, Oct/Nov 2024: 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
54

File names: 9709_w24_qp_31 ยท 9709_w24_ms_31

Grade thresholds for 9709/31 Oct/Nov 2024

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
5445372920

Topics in this paper

Which syllabus chapters 9709/31 Oct/Nov 2024 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Vectors110
Differential Equations110
Indices, Surds and Logs29
Partial Fractions19
Complex Numbers19
Trigonometry18
Differentiation18
Iteration17
Polynomials15

Questions in 9709/31 Oct/Nov 2024

  1. Question 1Polynomials ยท 5 marks
  2. Question 2Indices, Surds and Logs ยท 5 marks
  3. Question 3Indices, Surds and Logs ยท 4 marks

    The equation of a curve is ( ) ln โ€ฆ

  4. Question 4Trigonometry ยท 8 marks
  5. Question 5Iteration ยท 7 marks

    (a) By sketching a suitable pair of graphs, show that the equation ( ) ln โ€ฆ

  6. Question 6Differentiation ยท 8 marks
  7. Question 7Partial Fractions ยท 9 marks
  8. Question 8Complex Numbers ยท 9 marks
  9. Question 9Vectors ยท 10 marks

    The position vector of point A relative to the origin O is โ€ฆ

  10. Question 10Differential Equations ยท 10 marks

    h m 4 m A large cylindrical tank is used to store water. The base of the tank is a circle of radius 4 metres. At time t minutes, the depth of the water in the tank is h metres. โ€ฆ

Other Mathematics papers from Oct/Nov 2024

Questions students ask

Where can I get the 9709/31 Oct/Nov 2024 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_w24_ms_31), and on a wide screen it sits beside the question you are reading.
What was the grade threshold for an A in 9709/31 Oct/Nov 2024?
54 marks out of 75, a C needed 37.
Which topics came up in 9709/31 Oct/Nov 2024?
Mostly Vectors, Differential Equations, Indices, Surds and Logs. The full list is in the table above.
Do I need an account to open 9709/31 Oct/Nov 2024?
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.