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2012

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

Mathematics 9709/31 May/June 2012 past paper

Cambridge A Level Mathematics (9709) Paper 3 (Pure Mathematics 3), variant 1, May/June 2012: 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
61
Open the question paperMark scheme

File names: 9709_s12_qp_31 ยท 9709_s12_ms_31

Grade thresholds for 9709/31 May/June 2012

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
61560029

Topics in this paper

Which syllabus chapters 9709/31 May/June 2012 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Trigonometry214
Iteration112
Polynomials210
Partial Fractions110
Vectors19
Differential Equations18
Complex Numbers17
Binomial15

Questions in 9709/31 May/June 2012

  1. Question 1Polynomials ยท 3 marks
  2. Question 2Binomial ยท 5 marks

    (i) Expand 1 โˆš(1 โˆ’4x) in ascending powers of x, up to and including the term in x2, simplifying the coef๏ฌcients. (ii) Hence ๏ฌnd the coef๏ฌcient of x2 in the expansion of โ€ฆ

  3. Question 3Polynomials ยท 7 marks

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

  4. Question 4Complex Numbers ยท 7 marks

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

  5. Question 5Trigonometry ยท 7 marks

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

  6. Question 6Trigonometry ยท 7 marks

    The equation of a curve is 3x2 โˆ’4xy โ€ฆ

  7. Question 7Differential Equations ยท 8 marks

    The variables x and y are related by the differential equation dy dx = 6xe3x y2 . It is given that โ€ฆ

  8. Question 8Vectors ยท 9 marks
  9. Question 9Partial Fractions ยท 10 marks
  10. Question 10Iteration ยท 12 marks

Other Mathematics papers from May/June 2012

Questions students ask

Where can I get the 9709/31 May/June 2012 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_s12_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 2012?
61 marks out of 75.
Which topics came up in 9709/31 May/June 2012?
Mostly Trigonometry, Iteration, Polynomials. The full list is in the table above.
Do I need an account to open 9709/31 May/June 2012?
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.