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2016

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

Mathematics 9709/31 May/June 2016 past paper

Cambridge A Level Mathematics (9709) Paper 3 (Pure Mathematics 3), variant 1, May/June 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
60
Open the question paperMark scheme

File names: 9709_s16_qp_31 ยท 9709_s16_ms_31

Grade thresholds for 9709/31 May/June 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
6055473828

Topics in this paper

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

ChapterQuestionsMarks
Trigonometry214
Vectors111
Complex Numbers111
Polynomials110
Iteration17
Linear Law16
Differentiation16
Inequalities and Modulus15
Integration15

Questions in 9709/31 May/June 2016

  1. Question 1Inequalities and Modulus ยท 5 marks
  2. Question 2Integration ยท 5 marks
  3. Question 3Trigonometry ยท 5 marks

    By expressing the equation cosec โ€ฆ

  4. Question 4Linear Law ยท 6 marks

    The variables x and y satisfy the di๏ฌ€erential equation xdy dx โ€ฆ

  5. Question 5Differentiation ยท 6 marks

    The curve with equation y = sin x cos 2x has one stationary point in the interval โ€ฆ

  6. Question 6Iteration ยท 7 marks

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

  7. Question 7Trigonometry ยท 9 marks
  8. Question 8Polynomials ยท 10 marks
  9. Question 9Vectors ยท 11 marks

    With respect to the origin O, the points โ€ฆ

  10. Question 10Complex Numbers ยท 11 marks

    (a) Showing all your working and without the use of a calculator, ๏ฌnd the square roots of the complex number 7 โˆ’6รฏ2i. Give your answers in the form x + iy, where x and y are real and exact. (b) โ€ฆ

Other Mathematics papers from May/June 2016

Questions students ask

Where can I get the 9709/31 May/June 2016 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_s16_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 2016?
60 marks out of 75, a C needed 47.
Which topics came up in 9709/31 May/June 2016?
Mostly Trigonometry, Vectors, Complex Numbers. The full list is in the table above.
Do I need an account to open 9709/31 May/June 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.