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2010

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

Mathematics 9709/12 May/June 2010 past paper

Cambridge A Level Mathematics (9709) Paper 1 (Pure Mathematics 1), variant 2, May/June 2010: 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
63
Open the question paperMark scheme

File names: 9709_s10_qp_12 ยท 9709_s10_ms_12

Grade thresholds for 9709/12 May/June 2010

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
63560030

Topics in this paper

Which syllabus chapters 9709/12 May/June 2010 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Differentiation217
Circular Measure212
Coordinate Geometry212
Functions110
Sequences18
Binomial17
Quadratics15
Trigonometry14

Questions in 9709/12 May/June 2010

  1. Question 1Trigonometry ยท 4 marks

    (i) Show that the equation 3(2 sin x โˆ’cos x) = 2(sin x โˆ’3 cos x) can be written in the form tan โ€ฆ

  2. Question 2Circular Measure ยท 4 marks
  3. Question 3Quadratics ยท 5 marks

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

  4. Question 4Coordinate Geometry ยท 6 marks
  5. Question 5Coordinate Geometry ยท 6 marks

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

  6. Question 6Binomial ยท 7 marks

    (i) Find the ๏ฌrst 3 terms in the expansion of (1 + ax)5 in ascending powers of x. (ii) Given that there is no term in x in the expansion of โ€ฆ

  7. Question 7Sequences ยท 8 marks

    (a) Find the sum of all the multiples of 5 between 100 and 300 inclusive. (b) A geometric progression has a common ratio of โˆ’2 3 and the sum of the ๏ฌrst 3 terms is 35. Find (i) the ๏ฌrst โ€ฆ

  8. Question 8Differentiation ยท 8 marks

    A solid rectangular block has a square base of side x cm. The height of the block is h cm and the total surface area of the block is 96 cm2. (i) Express h in terms of x and show โ€ฆ

  9. Question 9Circular Measure ยท 8 marks
  10. Question 10Differentiation ยท 9 marks
  11. Question 11Functions ยท 10 marks

Other Mathematics papers from May/June 2010

Questions students ask

Where can I get the 9709/12 May/June 2010 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_s10_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 2010?
63 marks out of 75.
Which topics came up in 9709/12 May/June 2010?
Mostly Differentiation, Circular Measure, Coordinate Geometry. The full list is in the table above.
Do I need an account to open 9709/12 May/June 2010?
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.