Cambridge A Level ยท 9709 ยท Paper 3 ยท Pure Mathematics 3
Mathematics 9709/32 Feb/March 2018 past paper
Cambridge A Level Mathematics (9709) Paper 3 (Pure Mathematics 3), variant 2, Feb/March 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_m18_qp_32 ยท 9709_m18_ms_32
Grade thresholds for 9709/32 Feb/March 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 | 46 | 37 | 28 |
Topics in this paper
Which syllabus chapters 9709/32 Feb/March 2018 tested, by marks. Each chapter links to every past-paper question on it.
| Chapter | Questions | Marks |
|---|---|---|
| Trigonometry | 3 | 21 |
| Complex Numbers | 1 | 11 |
| Vectors | 1 | 11 |
| Partial Fractions | 1 | 10 |
| Iteration | 1 | 9 |
| Linear Law | 1 | 6 |
| Binomial | 1 | 4 |
| Integration | 1 | 3 |
Questions in 9709/32 Feb/March 2018
- Question 1
Use the trapezium rule with three intervals to estimate the value of โฆ
- Question 2
Expand 41 โ4x in ascending powers of x, up to and including the term in x3, simplifying the coe๏ฌcients.
- Question 3
(i) Using the expansions of cos3x + x and cos3x โx, show that 1 2cos 4x + cos 2x ย cos 3x cosx. (ii) Hence show that โฆ
- Question 4
The variables x and y satisfy the equation yn = Ax3, where n and A are constants. It is given that โฆ
- Question 5
The parametric equations of a curve are โฆ
- Question 6
The variables x and 1 satisfy the di๏ฌerential equation x cos21 dx โฆ
- Question 7
(i) By sketching suitable graphs, show that the equation โฆ
- Question 8
- Question 9
The complex number 1 + 2i is denoted by u. (i) It is given that u is a root of the equation โฆ
- Question 10
Other Mathematics papers from Feb/March 2018
- 9709/12 Pure Mathematics 1
- 9709/42 Mechanics
- 9709/52 Mechanics 2 (old syllabus, not in topicals)
- 9709/62 Probability & Statistics 1 (Paper 6 until 2019)