Cambridge A Level ยท 9709 ยท Paper 3 ยท Pure Mathematics 3
Mathematics 9709/33 May/June 2020 past paper
Cambridge A Level Mathematics (9709) Paper 3 (Pure Mathematics 3), variant 3, May/June 2020: the question paper and its official mark scheme, 10 questions worth 75 marks. Free to open, no account needed.
- Questions
- 10
- Marks
- 75
File names: 9709_s20_qp_33 ยท 9709_s20_ms_33
Topics in this paper
Which syllabus chapters 9709/33 May/June 2020 tested, by marks. Each chapter links to every past-paper question on it.
| Chapter | Questions | Marks |
|---|---|---|
| Trigonometry | 4 | 33 |
| Vectors | 1 | 10 |
| Complex Numbers | 1 | 10 |
| Iteration | 1 | 7 |
| Differentiation | 1 | 6 |
| Integration | 1 | 5 |
| Polynomials | 1 | 4 |
Questions in 9709/33 May/June 2020
- Question 1
- Question 2
- Question 3
(a) Show that the equation ln1 โฆ
- Question 4
- Question 5
By ๏ฌrst expressing the equation tan 1 tan1 โฆ
- Question 6
(a) By sketching a suitable pair of graphs, show that the equation โฆ
- Question 7
- Question 8
Relative to the origin O, the points A, B and D have position vectors given by โโยฟ OA โฆ
- Question 9
(a) The complex numbers u and w are such that โฆ
- Question 10
r A h A tank containing water is in the form of a hemisphere. The axis is vertical, the lowest point is A and the radius is r, as shown in the diagram. The depth of water at time t โฆ
Other Mathematics papers from May/June 2020
- 9709/11 Pure Mathematics 1
- 9709/12 Pure Mathematics 1
- 9709/13 Pure Mathematics 1
- 9709/31 Pure Mathematics 3
- 9709/32 Pure Mathematics 3
- 9709/41 Mechanics
- 9709/42 Mechanics
- 9709/43 Mechanics
- 9709/51 Probability & Statistics 1
- 9709/52 Probability & Statistics 1
- 9709/53 Probability & Statistics 1