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2015

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

Mathematics 9709/31 May/June 2015 past paper

Cambridge A Level Mathematics (9709) Paper 3 (Pure Mathematics 3), variant 1, May/June 2015: the question paper and its official mark scheme, 10 questions worth 71 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_31 ยท 9709_s15_ms_31

Grade thresholds for 9709/31 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
5853453626

Topics in this paper

Which syllabus chapters 9709/31 May/June 2015 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Trigonometry324
Iteration110
Differential Equations19
Complex Numbers19
Integration28
Differentiation17
Indices, Surds and Logs14

Questions in 9709/31 May/June 2015

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

    Use logarithms to solve the equation โ€ฆ

  2. Question 2Integration

    Use the trapezium rule with three intervals to ๏ฌnd an approximation to โ€ฆ

  3. Question 3Trigonometry ยท 6 marks

    Show that, for small values of โ€ฆ

  4. Question 4Differentiation ยท 7 marks
  5. Question 5Integration ยท 8 marks

    (a) Find ร“ 4 + tan22x dx. (b) Find the exact value of โ€ฆ

  6. Question 6Trigonometry ยท 9 marks

    The straight line l1 passes through the points โ€ฆ

  7. Question 7Differential Equations ยท 9 marks
  8. Question 8Complex Numbers ยท 9 marks

    The complex number w is de๏ฌned by โ€ฆ

  9. Question 9Trigonometry ยท 9 marks

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

  10. Question 10Iteration ยท 10 marks

    x y O P The diagram shows part of the curve with parametric equations โ€ฆ

Other Mathematics papers from May/June 2015

Questions students ask

Where can I get the 9709/31 May/June 2015 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_s15_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 2015?
58 marks out of 75, a C needed 45.
Which topics came up in 9709/31 May/June 2015?
Mostly Trigonometry, Iteration, Differential Equations. The full list is in the table above.
Do I need an account to open 9709/31 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.