2018

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

Mathematics 9709/13 May/June 2018 past paper

Cambridge A Level Mathematics (9709) Paper 1 (Pure Mathematics 1), variant 3, May/June 2018: 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
65

File names: 9709_s18_qp_13 ยท 9709_s18_ms_13

Grade thresholds for 9709/13 May/June 2018

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
6557473728

Topics in this paper

Which syllabus chapters 9709/13 May/June 2018 tested, by marks. Each chapter links to every past-paper question on it.

ChapterQuestionsMarks
Circular Measure216
Coordinate Geometry213
Trigonometry19
Vectors19
Functions19
Differentiation18
Sequences15
Quadratics13
Binomial13

Questions in 9709/13 May/June 2018

  1. Question 1Quadratics ยท 3 marks

    Express 3x2 โˆ’12x + 7 in the form ax โ€ฆ

  2. Question 2Binomial ยท 3 marks

    Find the coe๏ฌƒcient of 1 x in the expansion of โ€ฆ

  3. Question 3Sequences ยท 5 marks

    The common ratio of a geometric progression is 0.99. Express the sum of the ๏ฌrst 100 terms as a percentage of the sum to in๏ฌnity, giving your answer correct to 2 signi๏ฌcant ๏ฌgures.

  4. Question 4Coordinate Geometry ยท 6 marks

    A curve with equation y = fx passes through the point โ€ฆ

  5. Question 5Circular Measure ยท 5 marks

    O A B C 5 cm 6 cm The diagram shows a triangle OAB in which angle OAB = 90ร… and OA = 5 cm. The arc AC is part of a circle with centre O. The arc has length โ€ฆ

  6. Question 6Coordinate Geometry ยท 7 marks

    The coordinates of points A and B are โ€ฆ

  7. Question 7Trigonometry ยท 9 marks

    (a) (i) Express tan21 โˆ’1 tan21 + 1 in the form a sin21 + b, where a and b are constants to be found. (ii) Hence, or otherwise, and showing all necessary working, solve the equation tan21 โˆ’1 tan21 โ€ฆ

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

    The one-one function f is de๏ฌned by fx โ€ฆ

  11. Question 11Circular Measure ยท 11 marks

Other Mathematics papers from May/June 2018

Questions students ask

Where can I get the 9709/13 May/June 2018 mark scheme?
Open the mark scheme above - it is the official Cambridge scheme for this exact paper (9709_s18_ms_13), and on a wide screen it sits beside the question you are reading.
What was the grade threshold for an A in 9709/13 May/June 2018?
65 marks out of 75, a C needed 47.
Which topics came up in 9709/13 May/June 2018?
Mostly Circular Measure, Coordinate Geometry, Trigonometry. The full list is in the table above.
Do I need an account to open 9709/13 May/June 2018?
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.