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2019

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

Mathematics 9709/31 Oct/Nov 2019 past paper

Cambridge A Level Mathematics (9709) Paper 3 (Pure Mathematics 3), variant 1, Oct/Nov 2019: 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
62
Open the question paperMark scheme

File names: 9709_w19_qp_31 ยท 9709_w19_ms_31

Grade thresholds for 9709/31 Oct/Nov 2019

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
6255463728

Topics in this paper

Which syllabus chapters 9709/31 Oct/Nov 2019 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Trigonometry431
Partial Fractions110
Complex Numbers110
Vectors19
Iteration18
Inequalities and Modulus14
Indices, Surds and Logs13

Questions in 9709/31 Oct/Nov 2019

  1. Question 1Indices, Surds and Logs ยท 3 marks
  2. Question 2Inequalities and Modulus ยท 4 marks
  3. Question 3Trigonometry ยท 5 marks

    The parametric equations of a curve are โ€ฆ

  4. Question 4Trigonometry ยท 8 marks

    The number of insects in a population t weeks after the start of observations is denoted by N. The population is decreasing at a rate proportional to Neโˆ’0.02t. The variables N and t are treated as continuous, and it is โ€ฆ

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

    (i) By di๏ฌ€erentiating cosx sin x , show that if y = cot x then dy dx = โˆ’cosec2x. (ii) Show that โ€ฆ

  7. Question 7Vectors ยท 9 marks

    Two lines l and m have equations r = ai โ€ฆ

  8. Question 8Partial Fractions ยท 10 marks
  9. Question 9Trigonometry ยท 10 marks

    (i) By ๏ฌrst expanding cos2x + x, show that cos โ€ฆ

  10. Question 10Complex Numbers ยท 10 marks

    (a) The complex number u is given by โ€ฆ

Other Mathematics papers from Oct/Nov 2019

Questions students ask

Where can I get the 9709/31 Oct/Nov 2019 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_w19_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 2019?
62 marks out of 75, a C needed 46.
Which topics came up in 9709/31 Oct/Nov 2019?
Mostly Trigonometry, Partial Fractions, Complex Numbers. The full list is in the table above.
Do I need an account to open 9709/31 Oct/Nov 2019?
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.