Cambridge A Level · 9709 · Paper 3 · Pure Mathematics 3
Mathematics 9709/32 Oct/Nov 2015 past paper
Cambridge A Level Mathematics (9709) Paper 3 (Pure Mathematics 3), variant 2, Oct/Nov 2015: the question paper and its official mark scheme, 10 questions worth 72 marks, with the grade thresholds. Free to open, no account needed.
- Questions
- 10
- Marks
- 75
- Grade A from
- 64
File names: 9709_w15_qp_32 · 9709_w15_ms_32
Grade thresholds for 9709/32 Oct/Nov 2015
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 |
|---|---|---|---|---|
| 64 | 58 | 49 | 40 | 30 |
Topics in this paper
Which syllabus chapters 9709/32 Oct/Nov 2015 tested, by marks. Each chapter links to every past-paper question on it.
| Chapter | Questions | Marks |
|---|---|---|
| Trigonometry | 2 | 13 |
| Integration | 1 | 10 |
| Vectors | 1 | 9 |
| Differential Equations | 1 | 9 |
| Polynomials | 1 | 8 |
| Iteration | 1 | 7 |
| Complex Numbers | 1 | 7 |
| Indices, Surds and Logs | 1 | 5 |
| Inequalities and Modulus | 1 | 4 |
Questions in 9709/32 Oct/Nov 2015
- Question 1
- Question 2
Using the substitution u = 3x, solve the equation …
- Question 3
The angles 1 and & lie between 0Å and 180Å, and are such that tan1 …
- Question 4
- Question 5
- Question 6
The polynomial 8x3 + ax2 + bx −1, where a and b are constants, is denoted by px. It is given that …
- Question 7
The points A, B and C have position vectors, relative to the origin O, given by −−→ OA …
- Question 8
The variables x and 1 satisfy the differential equation dx …
- Question 9
The complex number 3 −i is denoted by u. Its complex conjugate is denoted by u*. (i) On an Argand diagram with origin O, show the points A, B and C representing the complex numbers u, u* and u* −u …
- Question 10
Other Mathematics papers from Oct/Nov 2015
- 9709/11 Pure Mathematics 1
- 9709/12 Pure Mathematics 1
- 9709/13 Pure Mathematics 1
- 9709/31 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)