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2017

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

Mathematics 9709/31 May/June 2017 past paper

Cambridge A Level Mathematics (9709) Paper 3 (Pure Mathematics 3), variant 1, May/June 2017: 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_s17_qp_31 ยท 9709_s17_ms_31

Grade thresholds for 9709/31 May/June 2017

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
5550423324

Topics in this paper

Which syllabus chapters 9709/31 May/June 2017 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Trigonometry322
Integration112
Linear Law19
Differentiation18
Iteration18
Complex Numbers18
Inequalities and Modulus14
Binomial14

Questions in 9709/31 May/June 2017

  1. Question 1Inequalities and Modulus ยท 4 marks
  2. Question 2Binomial ยท 4 marks

    Expand 1 31 + 6x in ascending powers of x, up to and including the term in x3, simplifying the coe๏ฌƒcients.

  3. Question 3Trigonometry ยท 6 marks

    It is given that x = ln1 โˆ’y โˆ’ln y, where โ€ฆ

  4. Question 4Differentiation ยท 8 marks

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

  5. Question 5Iteration ยท 8 marks

    O A B P r x rad The diagram shows a semicircle with centre O, radius r and diameter AB. The point P on its circumference is such that the area of the minor segment on AP is equal to โ€ฆ

  6. Question 6Trigonometry ยท 8 marks
  7. Question 7Complex Numbers ยท 8 marks

    Throughout this question the use of a calculator is not permitted. The complex numbers u and w are de๏ฌned by โ€ฆ

  8. Question 8Trigonometry ยท 8 marks

    (i) By ๏ฌrst expanding 2 sinx โˆ’30ร…, express 2 sinx โˆ’30ร… โˆ’cos x in the form R sinx โˆ’!, where โ€ฆ

  9. Question 9Linear Law ยท 9 marks

    (i) Express 1 x2x + 3 in partial fractions. (ii) The variables x and y satisfy the di๏ฌ€erential equation x2x + 3dy dx = y, and it is given that โ€ฆ

  10. Question 10Integration ยท 12 marks

    x y O M 1 40 The diagram shows the curve y = sin x cos22x for โ€ฆ

Other Mathematics papers from May/June 2017

Questions students ask

Where can I get the 9709/31 May/June 2017 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_s17_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 May/June 2017?
55 marks out of 75, a C needed 42.
Which topics came up in 9709/31 May/June 2017?
Mostly Trigonometry, Integration, Linear Law. The full list is in the table above.
Do I need an account to open 9709/31 May/June 2017?
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.