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2012

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

Mathematics 9709/13 May/June 2012 past paper

Cambridge A Level Mathematics (9709) Paper 1 (Pure Mathematics 1), variant 3, May/June 2012: 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
57
Open the question paperMark scheme

File names: 9709_s12_qp_13 ยท 9709_s12_ms_13

Grade thresholds for 9709/13 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
57490025

Topics in this paper

Which syllabus chapters 9709/13 May/June 2012 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Differentiation325
Circular Measure213
Trigonometry210
Coordinate Geometry19
Sequences17
Binomial16
Vectors15

Questions in 9709/13 May/June 2012

  1. Question 1Trigonometry ยท 4 marks

    (i) Prove the identity tan2ฮธ โˆ’sin2ฮธ โ‰กtan2ฮธ sin2ฮธ. (ii) Use this result to explain why tan ฮธ > sin ฮธ for โ€ฆ

  2. Question 2Vectors ยท 5 marks

    Relative to an origin O, the position vectors of the points A, B and C are given by โˆ’โˆ’โ†’ OA โ€ฆ

  3. Question 3Binomial ยท 6 marks

    The ๏ฌrst three terms in the expansion of โ€ฆ

  4. Question 4Trigonometry ยท 6 marks
  5. Question 5Circular Measure ยท 6 marks
  6. Question 6Sequences ยท 7 marks

    The ๏ฌrst term of an arithmetic progression is 12 and the sum of the ๏ฌrst 9 terms is 135. (i) Find the common difference of the progression. The ๏ฌrst term, the ninth term and the nth term of this arithmetic โ€ฆ

  7. Question 7Differentiation ยท 7 marks
  8. Question 8Circular Measure ยท 7 marks

    O B X A r In the diagram, AB is an arc of a circle with centre O and radius r. The line XB is a tangent to the circle at B and A is the mid-point of OX. (i) โ€ฆ

  9. Question 9Differentiation ยท 8 marks

    A curve is such that d2y dx2 = โˆ’4x. The curve has a maximum point at โ€ฆ

  10. Question 10Coordinate Geometry ยท 9 marks
  11. Question 11Differentiation ยท 10 marks

Other Mathematics papers from May/June 2012

Questions students ask

Where can I get the 9709/13 May/June 2012 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_s12_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 2012?
57 marks out of 75.
Which topics came up in 9709/13 May/June 2012?
Mostly Differentiation, Circular Measure, Trigonometry. The full list is in the table above.
Do I need an account to open 9709/13 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.