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2011

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

Mathematics 9709/31 May/June 2011 past paper

Cambridge A Level Mathematics (9709) Paper 3 (Pure Mathematics 3), variant 1, May/June 2011: 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
60
Open the question paperMark scheme

File names: 9709_s11_qp_31 ยท 9709_s11_ms_31

Grade thresholds for 9709/31 May/June 2011

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
60540026

Topics in this paper

Which syllabus chapters 9709/31 May/June 2011 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Trigonometry324
Vectors215
Complex Numbers110
Differential Equations110
Integration18
Binomial14
Indices, Surds and Logs14

Questions in 9709/31 May/June 2011

  1. Question 1Binomial ยท 4 marks

    Expand 3โˆš(1 โˆ’6x) in ascending powers of x up to and including the term in x3, simplifying the coef๏ฌcients. d

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

    Find dy dx in each of the following cases: โ€ฆ

  3. Question 3Vectors ยท 7 marks

    Points A and B have coordinates โ€ฆ

  4. Question 4Trigonometry ยท 7 marks

    The polynomial f(x) is de๏ฌned by โ€ฆ

  5. Question 5Trigonometry ยท 7 marks

    The curve with equation 6e2x + key โ€ฆ

  6. Question 6Vectors ยท 8 marks

    A B O 10 cm q The diagram shows a circle with centre O and radius 10 cm. The chord AB divides the circle into two regions whose areas are in the ratio โ€ฆ

  7. Question 7Integration ยท 8 marks
  8. Question 8Complex Numbers ยท 10 marks

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

  9. Question 9Trigonometry ยท 10 marks
  10. Question 10Differential Equations ยท 10 marks

    The number of birds of a certain species in a forested region is recorded over several years. At time t years, the number of birds is N, where N is treated as a continuous variable. The variation in the number โ€ฆ

Other Mathematics papers from May/June 2011

Questions students ask

Where can I get the 9709/31 May/June 2011 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_s11_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 2011?
60 marks out of 75.
Which topics came up in 9709/31 May/June 2011?
Mostly Trigonometry, Vectors, Complex Numbers. The full list is in the table above.
Do I need an account to open 9709/31 May/June 2011?
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.