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2015

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

Mathematics 9709/31 Oct/Nov 2015 past paper

Cambridge A Level Mathematics (9709) Paper 3 (Pure Mathematics 3), variant 1, Oct/Nov 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
64
Open the question paperMark scheme

File names: 9709_w15_qp_31 · 9709_w15_ms_31

Grade thresholds for 9709/31 Oct/Nov 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
6458494030

Topics in this paper

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

ChapterQuestionsMarks
Trigonometry213
Integration110
Vectors19
Differential Equations19
Polynomials18
Iteration17
Complex Numbers17
Indices, Surds and Logs15
Inequalities and Modulus14

Questions in 9709/31 Oct/Nov 2015

  1. Question 1Inequalities and Modulus · 4 marks
  2. Question 2Indices, Surds and Logs · 5 marks

    Using the substitution u = 3x, solve the equation …

  3. Question 3Trigonometry · 6 marks

    The angles 1 and & lie between 0Å and 180Å, and are such that tan1 …

  4. Question 4Iteration · 7 marks
  5. Question 5Trigonometry · 7 marks
  6. Question 6Polynomials · 8 marks

    The polynomial 8x3 + ax2 + bx −1, where a and b are constants, is denoted by px. It is given that …

  7. Question 7Vectors · 9 marks

    The points A, B and C have position vectors, relative to the origin O, given by −−→ OA …

  8. Question 8Differential Equations · 9 marks

    The variables x and 1 satisfy the differential equation dx …

  9. Question 9Complex Numbers · 7 marks

    The complex number 3 −i is denoted by u. Its complex conjugate is denoted by u*. (i) On an Argand diagram with origin O, show the points A, B and C representing the complex numbers u, u* and u* −u …

  10. Question 10Integration · 10 marks

Other Mathematics papers from Oct/Nov 2015

Questions students ask

Where can I get the 9709/31 Oct/Nov 2015 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_w15_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 Oct/Nov 2015?
64 marks out of 75, a C needed 49.
Which topics came up in 9709/31 Oct/Nov 2015?
Mostly Trigonometry, Integration, Vectors. The full list is in the table above.
Do I need an account to open 9709/31 Oct/Nov 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.