Cambridge A Level ยท 9709 ยท Paper 1 ยท Pure Mathematics 1
Mathematics 9709/11 May/June 2018 past paper
Cambridge A Level Mathematics (9709) Paper 1 (Pure Mathematics 1), variant 1, May/June 2018: the question paper and its official mark scheme, 10 questions worth 75 marks, with the grade thresholds. Free to open, no account needed.
- Questions
- 10
- Marks
- 75
- Grade A from
- 62
File names: 9709_s18_qp_11 ยท 9709_s18_ms_11
Grade thresholds for 9709/11 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 |
|---|---|---|---|---|
| 62 | 54 | 44 | 34 | 24 |
Topics in this paper
Which syllabus chapters 9709/11 May/June 2018 tested, by marks. Each chapter links to every past-paper question on it.
| Chapter | Questions | Marks |
|---|---|---|
| Differentiation | 2 | 16 |
| Coordinate Geometry | 2 | 15 |
| Functions | 1 | 11 |
| Sequences | 1 | 9 |
| Circular Measure | 1 | 7 |
| Integration | 1 | 6 |
| Trigonometry | 1 | 6 |
| Binomial | 1 | 5 |
Questions in 9709/11 May/June 2018
- Question 1
(i) Find the ๏ฌrst three terms in the expansion, in ascending powers of x, of 1 โ2x5. (ii) Given that the coe๏ฌcient of x2 in the expansion of 1 + ax โฆ
- Question 2
A point is moving along the curve โฆ
- Question 3
- Question 4
(i) Prove the identity sin 1 + cos 11 โsin 1 cos 1 ย sin31 + cos31. (ii) Hence solve the equation sin 1 + cos 11 โsin 1 cos โฆ
- Question 5
- Question 6
O A T B r cm 1 rad The diagram shows a circle with centre O and radius r cm. The points A and B lie on the circle and AT is a tangent to the circle. Angle AOB = โฆ
- Question 7
Relative to an origin O, the position vectors of the points A, B and C are given by โโโ OA โฆ
- Question 8
(a) A geometric progression has a second term of 12 and a sum to in๏ฌnity of 54. Find the possible values of the ๏ฌrst term of the progression. (b) The nth term of a progression is p + qn, where โฆ
- Question 9
Functions f and g are de๏ฌned for x โ> by โฆ
- Question 10
Other Mathematics papers from May/June 2018
- 9709/12 Pure Mathematics 1
- 9709/13 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)