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2016

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

Mathematics 9709/31 Oct/Nov 2016 past paper

Cambridge A Level Mathematics (9709) Paper 3 (Pure Mathematics 3), variant 1, Oct/Nov 2016: 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
55
Open the question paperMark scheme

File names: 9709_w16_qp_31 ยท 9709_w16_ms_31

Grade thresholds for 9709/31 Oct/Nov 2016

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
5548403121

Topics in this paper

Which syllabus chapters 9709/31 Oct/Nov 2016 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Trigonometry540
Complex Numbers110
Iteration19
Differentiation19
Binomial14
Indices, Surds and Logs13

Questions in 9709/31 Oct/Nov 2016

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

    Expand 2 โˆ’x1 + 2xโˆ’3 2 in ascending powers of x, up to and including the term in x2, simplifying the coe๏ฌƒcients.

  3. Question 3Trigonometry ยท 5 marks
  4. Question 4Trigonometry ยท 7 marks

    The equation of a curve is xyx โ€ฆ

  5. Question 5Trigonometry ยท 8 marks

    (i) Prove the identity tan 21 โˆ’tan 1 ย tan 1 sec 21. (ii) Hence show that โ€ฆ

  6. Question 6Iteration ยท 9 marks

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

  7. Question 7Differentiation ยท 9 marks

    x y O 2 M The diagram shows part of the curve โ€ฆ

  8. Question 8Trigonometry ยท 9 marks
  9. Question 9Complex Numbers ยท 10 marks

    Throughout this question the use of a calculator is not permitted. (a) Solve the equation โ€ฆ

  10. Question 10Trigonometry ยท 11 marks

    A large ๏ฌeld of area 4 km2 is becoming infected with a soil disease. At time t years the area infected is x km2 and the rate of growth of the infected area is given by the di๏ฌ€erential equation dx โ€ฆ

Other Mathematics papers from Oct/Nov 2016

Questions students ask

Where can I get the 9709/31 Oct/Nov 2016 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_w16_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 2016?
55 marks out of 75, a C needed 40.
Which topics came up in 9709/31 Oct/Nov 2016?
Mostly Trigonometry, Complex Numbers, Iteration. The full list is in the table above.
Do I need an account to open 9709/31 Oct/Nov 2016?
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.