PrepWithTee owl logo PrepWithTee
2016

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

Mathematics 9709/32 May/June 2016 past paper

Cambridge A Level Mathematics (9709) Paper 3 (Pure Mathematics 3), variant 2, 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
57
Open the question paperMark scheme

File names: 9709_s16_qp_32 ยท 9709_s16_ms_32

Grade thresholds for 9709/32 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
5749413222

Topics in this paper

Which syllabus chapters 9709/32 May/June 2016 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Trigonometry218
Indices, Surds and Logs210
Partial Fractions110
Vectors110
Complex Numbers110
Differential Equations18
Integration15
Binomial14

Questions in 9709/32 May/June 2016

  1. Question 1Indices, Surds and Logs ยท 4 marks

    Use logarithms to solve the equation โ€ฆ

  2. Question 2Binomial ยท 4 marks

    Expand 1 1 โˆ’2x in ascending powers of x, up to and including the term in x3, simplifying the coe๏ฌƒcients. ร“ 10

  3. Question 3Integration ยท 5 marks
  4. Question 4Indices, Surds and Logs ยท 6 marks

    The curve with equation y = ln x2 x has two stationary points. Find the exact values of the coordinates of these points.

  5. Question 5Trigonometry ยท 8 marks

    (i) Prove the identity cos41 โˆ’4 cos โ€ฆ

  6. Question 6Differential Equations ยท 8 marks

    The variables x and 1 satisfy the di๏ฌ€erential equation 3 + cos 21 dx โ€ฆ

  7. Question 7Partial Fractions ยท 10 marks
  8. Question 8Trigonometry ยท 10 marks

    x y O a 0 The diagram shows the curve y = cosecx for โ€ฆ

  9. Question 9Vectors ยท 10 marks

    The points A, B and C have position vectors, relative to the origin O, given by โˆ’โˆ’โ†’ OA โ€ฆ

  10. Question 10Complex Numbers ยท 10 marks

    (a) Showing all necessary working, solve the equation iz2 โ€ฆ

Other Mathematics papers from May/June 2016

Questions students ask

Where can I get the 9709/32 May/June 2016 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_s16_ms_32), and on a wide screen it sits beside the question you are reading.
What was the grade threshold for an A in 9709/32 May/June 2016?
57 marks out of 75, a C needed 41.
Which topics came up in 9709/32 May/June 2016?
Mostly Trigonometry, Indices, Surds and Logs, Partial Fractions. The full list is in the table above.
Do I need an account to open 9709/32 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.