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2010

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

Mathematics 9709/31 Oct/Nov 2010 past paper

Cambridge A Level Mathematics (9709) Paper 3 (Pure Mathematics 3), variant 1, Oct/Nov 2010: 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
62
Open the question paperMark scheme

File names: 9709_w10_qp_31 · 9709_w10_ms_31

Grade thresholds for 9709/31 Oct/Nov 2010

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
62560025

Topics in this paper

Which syllabus chapters 9709/31 Oct/Nov 2010 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Indices, Surds and Logs214
Trigonometry212
Polynomials110
Differential Equations110
Complex Numbers19
Vectors19
Iteration17
Inequalities and Modulus14

Questions in 9709/31 Oct/Nov 2010

  1. Question 1Inequalities and Modulus · 4 marks
  2. Question 2Indices, Surds and Logs · 4 marks
  3. Question 3Trigonometry · 5 marks
  4. Question 4Iteration · 7 marks

    (i) By sketching suitable graphs, show that the equation …

  5. Question 5Trigonometry · 7 marks
  6. Question 6Complex Numbers · 9 marks

    The complex number ß is given by …

  7. Question 7Vectors · 9 marks

    With respect to the origin O, the points A and B have position vectors given by −−→ OA …

  8. Question 8Polynomials · 10 marks
  9. Question 9Indices, Surds and Logs · 10 marks

    O x y M 2 The diagram shows the curve …

  10. Question 10Differential Equations · 10 marks

    A certain substance is formed in a chemical reaction. The mass of substance formed t seconds after the start of the reaction is x grams. At any time the rate of formation of the substance is proportional to (20 −x). …

Other Mathematics papers from Oct/Nov 2010

Questions students ask

Where can I get the 9709/31 Oct/Nov 2010 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_w10_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 2010?
62 marks out of 75.
Which topics came up in 9709/31 Oct/Nov 2010?
Mostly Indices, Surds and Logs, Trigonometry, Polynomials. The full list is in the table above.
Do I need an account to open 9709/31 Oct/Nov 2010?
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.