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2015

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

Mathematics 9709/32 May/June 2015 past paper

Cambridge A Level Mathematics (9709) Paper 3 (Pure Mathematics 3), variant 2, May/June 2015: the question paper and its official mark scheme, 10 questions worth 72 marks, with the grade thresholds. Free to open, no account needed.

Questions
10
Marks
75
Grade A from
58
Open the question paperMark scheme

File names: 9709_s15_qp_32 ยท 9709_s15_ms_32

Grade thresholds for 9709/32 May/June 2015

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
5851423222

Topics in this paper

Which syllabus chapters 9709/32 May/June 2015 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Trigonometry214
Vectors111
Polynomials110
Differential Equations110
Complex Numbers19
Differentiation16
Iteration15
Indices, Surds and Logs14
Integration13

Questions in 9709/32 May/June 2015

  1. Question 1Integration ยท 3 marks

    Use the trapezium rule with three intervals to estimate the value of โ€ฆ

  2. Question 2Indices, Surds and Logs ยท 4 marks

    Using the substitution u = 4x, solve the equation โ€ฆ

  3. Question 3Differentiation ยท 6 marks

    A curve has equation y = cos x cos 2x. Find the x-coordinate of the stationary point on the curve in the interval โ€ฆ

  4. Question 4Trigonometry ยท 6 marks
  5. Question 5Iteration ยท 5 marks
  6. Question 6Trigonometry ยท 8 marks
  7. Question 7Complex Numbers ยท 9 marks

    The complex number u is given by โ€ฆ

  8. Question 8Polynomials ยท 10 marks
  9. Question 9Differential Equations ยท 10 marks

    The number of organisms in a population at time t is denoted by x. Treating x as a continuous variable, the differential equation satis๏ฌed by x and t is dx dt = xeโˆ’t โ€ฆ

  10. Question 10Vectors ยท 11 marks

    The points A and B have position vectors given by โˆ’โˆ’โ†’ OA โ€ฆ

Other Mathematics papers from May/June 2015

Questions students ask

Where can I get the 9709/32 May/June 2015 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_s15_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 2015?
58 marks out of 75, a C needed 42.
Which topics came up in 9709/32 May/June 2015?
Mostly Trigonometry, Vectors, Polynomials. The full list is in the table above.
Do I need an account to open 9709/32 May/June 2015?
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.