2016

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

Mathematics 9709/12 May/June 2016 past paper

Cambridge A Level Mathematics (9709) Paper 1 (Pure Mathematics 1), variant 2, May/June 2016: 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
61

File names: 9709_s16_qp_12 ยท 9709_s16_ms_12

Grade thresholds for 9709/12 May/June 2016

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
6152433321

Topics in this paper

Which syllabus chapters 9709/12 May/June 2016 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Coordinate Geometry219
Differentiation112
Circular Measure211
Trigonometry210
Sequences19
Binomial16
Integration14
Vectors14

Questions in 9709/12 May/June 2016

  1. Question 1Trigonometry ยท 3 marks

    Functions f and g are de๏ฌned by โ€ฆ

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

    Find the term that is independent of x in the expansion of โ€ฆ

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

    (i) Prove the identity 1 + cos 1 1 โˆ’cos 1 โˆ’1 โˆ’cos โ€ฆ

  8. Question 8Coordinate Geometry ยท 8 marks

    Three points have coordinates โ€ฆ

  9. Question 9Sequences ยท 9 marks

    A water tank holds 2000 litres when full. A small hole in the base is gradually getting bigger so that each day a greater amount of water is lost. (i) On the ๏ฌrst day after ๏ฌlling, 10 litres of water โ€ฆ

  10. Question 10Differentiation ยท 12 marks
  11. Question 11Coordinate Geometry ยท 11 marks

Other Mathematics papers from May/June 2016

Questions students ask

Where can I get the 9709/12 May/June 2016 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_s16_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 2016?
61 marks out of 75, a C needed 43.
Which topics came up in 9709/12 May/June 2016?
Mostly Coordinate Geometry, Differentiation, Circular Measure. The full list is in the table above.
Do I need an account to open 9709/12 May/June 2016?
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.