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2013

Cambridge A Level ยท 9709 ยท Paper 1 ยท Pure Mathematics 1

Mathematics 9709/13 May/June 2013 past paper

Cambridge A Level Mathematics (9709) Paper 1 (Pure Mathematics 1), variant 3, May/June 2013: the question paper and its official mark scheme, 11 questions worth 75 marks, with the grade thresholds. Free to open, no account needed.

Questions
11
Marks
75
Grade A from
66
Open the question paperMark scheme

File names: 9709_s13_qp_13 ยท 9709_s13_ms_13

Grade thresholds for 9709/13 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
66590032

Topics in this paper

Which syllabus chapters 9709/13 May/June 2013 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Trigonometry320
Differentiation19
Coordinate Geometry18
Vectors18
Sequences18
Quadratics17
Binomial16
Circular Measure15
Integration14

Questions in 9709/13 May/June 2013

  1. Question 1Integration ยท 4 marks
  2. Question 2Circular Measure ยท 5 marks
  3. Question 3Trigonometry ยท 5 marks

    (i) Express the equation 2 cos21 = tan21 as a quadratic equation in cos21. (ii) Solve the equation 2 cos21 = tan21 for โ€ฆ

  4. Question 4Binomial ยท 6 marks

    (i) Find the ๏ฌrst three terms in the expansion of 2 + ax5 in ascending powers of x. (ii) Given that the coef๏ฌcient of x2 in the expansion of โ€ฆ

  5. Question 5Trigonometry ยท 6 marks

    (i) Sketch, on the same diagram, the curves y = sin 2x and y = cos x โˆ’1 for โ€ฆ

  6. Question 6Quadratics ยท 7 marks

    The non-zero variables x, y and u are such that โ€ฆ

  7. Question 7Coordinate Geometry ยท 8 marks
  8. Question 8Vectors ยท 8 marks

    A B C O The diagram shows a parallelogram OABC in which โˆ’โˆ’โ†’ OA โ€ฆ

  9. Question 9Sequences ยท 8 marks

    (a) In an arithmetic progression, the sum, Sn, of the ๏ฌrst n terms is given by Sn โ€ฆ

  10. Question 10Trigonometry ยท 9 marks
  11. Question 11Differentiation ยท 9 marks

Other Mathematics papers from May/June 2013

Questions students ask

Where can I get the 9709/13 May/June 2013 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_s13_ms_13), and on a wide screen it sits beside the question you are reading.
What was the grade threshold for an A in 9709/13 May/June 2013?
66 marks out of 75.
Which topics came up in 9709/13 May/June 2013?
Mostly Trigonometry, Differentiation, Coordinate Geometry. The full list is in the table above.
Do I need an account to open 9709/13 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.