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2024

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

Mathematics 9709/33 Oct/Nov 2024 past paper

Cambridge A Level Mathematics (9709) Paper 3 (Pure Mathematics 3), variant 3, Oct/Nov 2024: 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
55
Open the question paperMark scheme

File names: 9709_w24_qp_33 · 9709_w24_ms_33

Grade thresholds for 9709/33 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
5545372920

Topics in this paper

Which syllabus chapters 9709/33 Oct/Nov 2024 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Polynomials216
Trigonometry214
Integration111
Complex Numbers29
Differential Equations18
Vectors17
Iteration15
Linear Law15

Questions in 9709/33 Oct/Nov 2024

  1. Question 1Complex Numbers · 4 marks

    The complex number z satisfies …

  2. Question 2Iteration · 5 marks
  3. Question 3Linear Law · 5 marks

    t O 3 lnP The number of bacteria in a population, P, at time t hours is modelled by the equation P aekt = , where a and k are constants. The graph of lnP against t, shown in the …

  4. Question 4Complex Numbers · 5 marks

    Find the complex number z satisfying the equation …

  5. Question 5Trigonometry · 6 marks

    (a) Show that cos sin sin cos cos cos …

  6. Question 6Vectors · 7 marks

    The lines l and m have vector equations …

  7. Question 7Trigonometry · 8 marks

    The parametric equations of a curve are sin …

  8. Question 8Polynomials · 8 marks
  9. Question 9Polynomials · 8 marks

    (a) Find the quotient and remainder when …

  10. Question 10Differential Equations · 8 marks

    A water tank is in the shape of a cuboid with base area cm 40000 2. At time t minutes the depth of water in the tank is h cm. Water is pumped into the tank at a rate of …

  11. Question 11Integration · 11 marks

Other Mathematics papers from Oct/Nov 2024

Questions students ask

Where can I get the 9709/33 Oct/Nov 2024 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_w24_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 Oct/Nov 2024?
55 marks out of 75, a C needed 37.
Which topics came up in 9709/33 Oct/Nov 2024?
Mostly Polynomials, Trigonometry, Integration. The full list is in the table above.
Do I need an account to open 9709/33 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.