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2012

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

Mathematics 9709/11 Oct/Nov 2012 past paper

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

File names: 9709_w12_qp_11 ยท 9709_w12_ms_11

Grade thresholds for 9709/11 Oct/Nov 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
59500022

Topics in this paper

Which syllabus chapters 9709/11 Oct/Nov 2012 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Differentiation321
Circular Measure215
Functions110
Coordinate Geometry19
Trigonometry17
Binomial15
Sequences14
Integration14

Questions in 9709/11 Oct/Nov 2012

  1. Question 1Sequences ยท 4 marks

    The ๏ฌrst term of an arithmetic progression is 61 and the second term is 57. The sum of the ๏ฌrst n terms is n. Find the value of the positive integer โ€ฆ

  2. Question 2Integration ยท 4 marks
  3. Question 3Differentiation ยท 4 marks

    An oil pipeline under the sea is leaking oil and a circular patch of oil has formed on the surface of the sea. At midday the radius of the patch of oil is 50 m and is increasing at a โ€ฆ

  4. Question 4Binomial ยท 5 marks

    (i) Find the ๏ฌrst 3 terms in the expansion of (2x โˆ’x2)6 in ascending powers of x. (ii) Hence ๏ฌnd the coef๏ฌcient of x8 in the expansion of โ€ฆ

  5. Question 5Differentiation ยท 5 marks
  6. Question 6Circular Measure ยท 7 marks
  7. Question 7Trigonometry ยท 7 marks

    (i) Solve the equation 2 cos2ฮธ = 3 sin ฮธ, for 0โ—ฆโ‰คฮธ โ‰ค360โ—ฆ. (ii) The smallest positive solution of the equation 2 cos2(nฮธ) = 3 sin(nฮธ), where n is a positive integer, is 10โ—ฆ. State the value of n and โ€ฆ

  8. Question 8Circular Measure ยท 8 marks
  9. Question 9Coordinate Geometry ยท 9 marks

    The position vectors of points A and B relative to an origin O are a and b respectively. The position vectors of points C and D relative to O are 3a and 2b respectively. It is given that โ€ฆ

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

Other Mathematics papers from Oct/Nov 2012

Questions students ask

Where can I get the 9709/11 Oct/Nov 2012 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_w12_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 Oct/Nov 2012?
59 marks out of 75.
Which topics came up in 9709/11 Oct/Nov 2012?
Mostly Differentiation, Circular Measure, Functions. The full list is in the table above.
Do I need an account to open 9709/11 Oct/Nov 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.