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2013

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

Mathematics 9709/31 May/June 2013 past paper

Cambridge A Level Mathematics (9709) Paper 3 (Pure Mathematics 3), variant 1, May/June 2013: the question paper and its official mark scheme, 10 questions worth 68 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_s13_qp_31 ยท 9709_s13_ms_31

Grade thresholds for 9709/31 May/June 2013

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 2013 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Integration110
Trigonometry110
Vectors19
Complex Numbers19
Differentiation17
Inequalities and Modulus16
Partial Fractions15
Iteration15
Binomial14
Polynomials13

Questions in 9709/31 May/June 2013

  1. Question 1Polynomials ยท 3 marks

    Find the quotient and remainder when 2x2 is divided by โ€ฆ

  2. Question 2Binomial ยท 4 marks
  3. Question 3Partial Fractions ยท 5 marks

    Express 7x2 โˆ’3x + 2 xx2 + 1 in partial fractions.

  4. Question 4Inequalities and Modulus ยท 6 marks
  5. Question 5Differentiation ยท 7 marks

    For each of the following curves, ๏ฌnd the gradient at the point where the curve crosses the y-axis: โ€ฆ

  6. Question 6Vectors ยท 9 marks

    The points P and Q have position vectors, relative to the origin O, given by โˆ’โˆ’โ†’ OP โ€ฆ

  7. Question 7Complex Numbers ยท 9 marks

    (a) Without using a calculator, solve the equation 3w + 2iw* โ€ฆ

  8. Question 8Integration ยท 10 marks
  9. Question 9Trigonometry ยท 10 marks
  10. Question 10Iteration ยท 5 marks

    Liquid is ๏ฌ‚owing into a small tank which has a leak. Initially the tank is empty and, t minutes later, the volume of liquid in the tank is V cm3. The liquid is ๏ฌ‚owing into the tank at a constant โ€ฆ

Other Mathematics papers from May/June 2013

Questions students ask

Where can I get the 9709/31 May/June 2013 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_s13_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 2013?
61 marks out of 75.
Which topics came up in 9709/31 May/June 2013?
Mostly Integration, Trigonometry, Vectors. The full list is in the table above.
Do I need an account to open 9709/31 May/June 2013?
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.