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2015

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

Mathematics 9709/12 May/June 2015 past paper

Cambridge A Level Mathematics (9709) Paper 1 (Pure Mathematics 1), variant 2, May/June 2015: 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
62
Open the question paperMark scheme

File names: 9709_s15_qp_12 ยท 9709_s15_ms_12

Grade thresholds for 9709/12 May/June 2015

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
6253443423

Topics in this paper

Which syllabus chapters 9709/12 May/June 2015 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Differentiation215
Quadratics112
Circular Measure210
Sequences19
Vectors19
Coordinate Geometry17
Binomial15
Trigonometry15
Functions13

Questions in 9709/12 May/June 2015

  1. Question 1Functions ยท 3 marks
  2. Question 2Circular Measure ยท 4 marks
  3. Question 3Binomial ยท 5 marks

    (i) Find the coef๏ฌcients of x2 and x3 in the expansion of 2 โˆ’x6. (ii) Find the coef๏ฌcient of x3 in the expansion of โ€ฆ

  4. Question 4Differentiation ยท 5 marks

    Variables u, x and y are such that u = 2xy โˆ’x and โ€ฆ

  5. Question 5Trigonometry ยท 5 marks

    (i) Prove the identity sin 1 โˆ’cos 1 sin 1 + cos 1 ย tan 1 โˆ’1 tan โ€ฆ

  6. Question 6Circular Measure ยท 6 marks

    A tourist attraction in a city centre is a big vertical wheel on which passengers can ride. The wheel turns in such a way that the height, h m, of a passenger above the ground is given by the formula โ€ฆ

  7. Question 7Coordinate Geometry ยท 7 marks

    The point C lies on the perpendicular bisector of the line joining the points โ€ฆ

  8. Question 8Sequences ยท 9 marks

    (a) The ๏ฌrst, second and last terms in an arithmetic progression are 56, 53 and โˆ’22 respectively. Find the sum of all the terms in the progression. (b) The ๏ฌrst, second and third terms of a geometric progression are โ€ฆ

  9. Question 9Vectors ยท 9 marks

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

  10. Question 10Differentiation ยท 10 marks
  11. Question 11Quadratics ยท 12 marks

Other Mathematics papers from May/June 2015

Questions students ask

Where can I get the 9709/12 May/June 2015 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_s15_ms_12), and on a wide screen it sits beside the question you are reading.
What was the grade threshold for an A in 9709/12 May/June 2015?
62 marks out of 75, a C needed 44.
Which topics came up in 9709/12 May/June 2015?
Mostly Differentiation, Quadratics, Circular Measure. The full list is in the table above.
Do I need an account to open 9709/12 May/June 2015?
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.