2013

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

Mathematics 9709/11 May/June 2013 past paper

Cambridge A Level Mathematics (9709) Paper 1 (Pure Mathematics 1), variant 1, 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
63

File names: 9709_s13_qp_11 ยท 9709_s13_ms_11

Grade thresholds for 9709/11 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
63540023

Topics in this paper

Which syllabus chapters 9709/11 May/June 2013 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Differentiation323
Circular Measure217
Functions110
Trigonometry17
Coordinate Geometry17
Sequences16
Binomial15

Questions in 9709/11 May/June 2013

  1. Question 1Differentiation ยท 3 marks
  2. Question 2Binomial ยท 5 marks

    (i) In the expression 1 โˆ’px6, p is a non-zero constant. Find the ๏ฌrst three terms when 1 โˆ’px6 is expanded in ascending powers of x. (ii) It is given that the coef๏ฌcient of x2 in the expansion of 1 โ€ฆ

  3. Question 3Circular Measure ยท 5 marks
  4. Question 4Sequences ยท 6 marks

    The third term of a geometric progression is โˆ’108 and the sixth term is 32. Find (i) the common ratio, (ii) the ๏ฌrst term, (iii) the sum to in๏ฌnity. โ€ฆ

  5. Question 5Trigonometry ยท 7 marks

    (i) Show that sin 1 sin 1 + cos 1 + cos 1 sin 1 โˆ’cos โ€ฆ

  6. Question 6Coordinate Geometry ยท 7 marks

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

  7. Question 7Differentiation ยท 9 marks
  8. Question 8Functions ยท 10 marks

    (i) Express 2x2 โˆ’12x + 13 in the form ax โ€ฆ

  9. Question 9Differentiation ยท 11 marks

    A curve has equation y = fx and is such that โ€ฆ

  10. Question 10Circular Measure ยท 12 marks

Other Mathematics papers from May/June 2013

Questions students ask

Where can I get the 9709/11 May/June 2013 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_s13_ms_11), and on a wide screen it sits beside the question you are reading.
What was the grade threshold for an A in 9709/11 May/June 2013?
63 marks out of 75.
Which topics came up in 9709/11 May/June 2013?
Mostly Differentiation, Circular Measure, Functions. The full list is in the table above.
Do I need an account to open 9709/11 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.