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2013

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

Mathematics 9709/32 May/June 2013 past paper

Cambridge A Level Mathematics (9709) Paper 3 (Pure Mathematics 3), variant 2, May/June 2013: 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
53
Open the question paperMark scheme

File names: 9709_s13_qp_32 ยท 9709_s13_ms_32

Grade thresholds for 9709/32 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
53460021

Topics in this paper

Which syllabus chapters 9709/32 May/June 2013 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Trigonometry217
Differential Equations111
Complex Numbers111
Vectors111
Polynomials16
Differentiation16
Iteration15
Linear Law15
Inequalities and Modulus13

Questions in 9709/32 May/June 2013

  1. Question 1Inequalities and Modulus ยท 3 marks
  2. Question 2Iteration ยท 5 marks

    The sequence of values given by the iterative formula xn+1 = xnx3 โ€ฆ

  3. Question 3Linear Law ยท 5 marks
  4. Question 4Polynomials ยท 6 marks
  5. Question 5Differentiation ยท 6 marks

    x y โ€“a 3a M The diagram shows the curve with equation x3 + xy2 + ay2 โˆ’3ax2 = 0, where a is a positive constant. The maximum point on the curve is M. Find the x-coordinate of M in โ€ฆ

  6. Question 6Trigonometry ยท 8 marks

    (i) By differentiating 1 cos x, show that the derivative of sec x is sec x tan x. Hence show that if y = lnsec x + tan x then dy dx = sec x. (ii) Using the substitution โ€ฆ

  7. Question 7Trigonometry ยท 9 marks

    (i) By ๏ฌrst expanding cosx + 45ร…, express cosx โ€ฆ

  8. Question 8Differential Equations ยท 11 marks

    (i) Express 1 x22x + 1 in the form โ€ฆ

  9. Question 9Complex Numbers ยท 11 marks

    (a) The complex number w is such that Re โ€ฆ

  10. Question 10Vectors ยท 11 marks

    The points A and B have position vectors โ€ฆ

Other Mathematics papers from May/June 2013

Questions students ask

Where can I get the 9709/32 May/June 2013 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_s13_ms_32), and on a wide screen it sits beside the question you are reading.
What was the grade threshold for an A in 9709/32 May/June 2013?
53 marks out of 75.
Which topics came up in 9709/32 May/June 2013?
Mostly Trigonometry, Differential Equations, Complex Numbers. The full list is in the table above.
Do I need an account to open 9709/32 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.