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2011

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

Mathematics 9709/12 Oct/Nov 2011 past paper

Cambridge A Level Mathematics (9709) Paper 1 (Pure Mathematics 1), variant 2, Oct/Nov 2011: 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
59
Open the question paperMark scheme

File names: 9709_w11_qp_12 ยท 9709_w11_ms_12

Grade thresholds for 9709/12 Oct/Nov 2011

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
59510021

Topics in this paper

Which syllabus chapters 9709/12 Oct/Nov 2011 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Differentiation323
Sequences110
Coordinate Geometry19
Circular Measure18
Vectors17
Trigonometry17
Functions16
Binomial15

Questions in 9709/12 Oct/Nov 2011

  1. Question 1Binomial ยท 5 marks

    (i) Find the ๏ฌrst 3 terms in the expansion of (2 โˆ’y)5 in ascending powers of y. (ii) Use the result in part (i) to ๏ฌnd the coef๏ฌcient of x2 in the expansion of โ€ฆ

  2. Question 2Functions ยท 6 marks

    The functions f and g are de๏ฌned for x โˆˆ> by โ€ฆ

  3. Question 3Vectors ยท 7 marks

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

  4. Question 4Differentiation ยท 7 marks
  5. Question 5Trigonometry ยท 7 marks

    (i) Sketch, on the same diagram, the graphs of y = sin x and y = cos 2x for 0โ—ฆโ‰คx โ‰ค180โ—ฆ. (ii) Verify that x = 30โ—ฆis a root of the equation sin x = cos 2x, and state the โ€ฆ

  6. Question 6Circular Measure ยท 8 marks
  7. Question 7Differentiation ยท 8 marks
  8. Question 8Differentiation ยท 8 marks
  9. Question 9Coordinate Geometry ยท 9 marks
  10. Question 10Sequences ยท 10 marks

    (a) An arithmetic progression contains 25 terms and the ๏ฌrst term is โˆ’15. The sum of all the terms in the progression is 525. Calculate (i) the common difference of the progression, (ii) the last term in the progression, (iii) โ€ฆ

Other Mathematics papers from Oct/Nov 2011

Questions students ask

Where can I get the 9709/12 Oct/Nov 2011 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_w11_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 Oct/Nov 2011?
59 marks out of 75.
Which topics came up in 9709/12 Oct/Nov 2011?
Mostly Differentiation, Sequences, Coordinate Geometry. The full list is in the table above.
Do I need an account to open 9709/12 Oct/Nov 2011?
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.