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.
| A | B | C | D | E |
|---|---|---|---|---|
| 65 | 57 | 47 | 37 | 28 |
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.
| Chapter | Questions | Marks |
|---|---|---|
| Circular Measure | 2 | 16 |
| Coordinate Geometry | 2 | 13 |
| Trigonometry | 1 | 9 |
| Vectors | 1 | 9 |
| Functions | 1 | 9 |
| Differentiation | 1 | 8 |
| Sequences | 1 | 5 |
| Quadratics | 1 | 3 |
| Binomial | 1 | 3 |
Questions in 9709/13 May/June 2018
- Question 1
Express 3x2 โ12x + 7 in the form ax โฆ
- Question 2
Find the coe๏ฌcient of 1 x in the expansion of โฆ
- Question 3
The common ratio of a geometric progression is 0.99. Express the sum of the ๏ฌrst 100 terms as a percentage of the sum to in๏ฌnity, giving your answer correct to 2 signi๏ฌcant ๏ฌgures.
- Question 4
A curve with equation y = fx passes through the point โฆ
- Question 5
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 โฆ
- Question 6
The coordinates of points A and B are โฆ
- Question 7
(a) (i) Express tan21 โ1 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 โ1 tan21 โฆ
- Question 8
- Question 9
- Question 10
The one-one function f is de๏ฌned by fx โฆ
- Question 11
Other Mathematics papers from May/June 2018
- 9709/11 Pure Mathematics 1
- 9709/12 Pure Mathematics 1
- 9709/31 Pure Mathematics 3
- 9709/32 Pure Mathematics 3
- 9709/33 Pure Mathematics 3
- 9709/41 Mechanics
- 9709/42 Mechanics
- 9709/43 Mechanics
- 9709/51 Mechanics 2 (old syllabus, not in topicals)
- 9709/52 Mechanics 2 (old syllabus, not in topicals)
- 9709/53 Mechanics 2 (old syllabus, not in topicals)
- 9709/61 Probability & Statistics 1 (Paper 6 until 2019)
- 9709/62 Probability & Statistics 1 (Paper 6 until 2019)
- 9709/63 Probability & Statistics 1 (Paper 6 until 2019)