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2015

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

Mathematics 9709/13 May/June 2015 past paper

Cambridge A Level Mathematics (9709) Paper 1 (Pure Mathematics 1), variant 3, 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_13 ยท 9709_s15_ms_13

Grade thresholds for 9709/13 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
6254443425

Topics in this paper

Which syllabus chapters 9709/13 May/June 2015 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Circular Measure219
Differentiation18
Sequences18
Vectors17
Functions17
Coordinate Geometry17
Binomial16
Trigonometry16
Integration14
Quadratics13

Questions in 9709/13 May/June 2015

  1. Question 1Quadratics ยท 3 marks

    Express 2x2 โˆ’12x + 7 in the form ax โ€ฆ

  2. Question 2Integration ยท 4 marks
  3. Question 3Binomial ยท 6 marks

    (i) Write down the ๏ฌrst 4 terms, in ascending powers of x, of the expansion of a โˆ’x5. (ii) The coef๏ฌcient of x3 in the expansion of 1 โˆ’axa โˆ’x5 is โˆ’200. Find the possible values of the constant a.

  4. Question 4Trigonometry ยท 6 marks

    (i) Express the equation 3 sin 1 = cos 1 in the form tan โ€ฆ

  5. Question 5Vectors ยท 7 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

  6. Question 6Functions ยท 7 marks
  7. Question 7Coordinate Geometry ยท 7 marks

    The point A has coordinates p, 1 and the point B has coordinates โ€ฆ

  8. Question 8Differentiation ยท 8 marks

    The function f is de๏ฌned by fx โ€ฆ

  9. Question 9Sequences ยท 8 marks

    (a) The ๏ฌrst term of an arithmetic progression is โˆ’2222 and the common difference is 17. Find the value of the ๏ฌrst positive term. (b) The ๏ฌrst term of a geometric progression is รฏ3 and the second term is 2 โ€ฆ

  10. Question 10Circular Measure ยท 9 marks
  11. Question 11Circular Measure ยท 10 marks

Other Mathematics papers from May/June 2015

Questions students ask

Where can I get the 9709/13 May/June 2015 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_s15_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 2015?
62 marks out of 75, a C needed 44.
Which topics came up in 9709/13 May/June 2015?
Mostly Circular Measure, Differentiation, Sequences. The full list is in the table above.
Do I need an account to open 9709/13 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.