Cambridge A Level ยท 9709 ยท Paper 3 ยท Pure Mathematics 3
Mathematics 9709/33 Oct/Nov 2014 past paper
Cambridge A Level Mathematics (9709) Paper 3 (Pure Mathematics 3), variant 3, Oct/Nov 2014: the question paper and its official mark scheme, 10 questions worth 61 marks, with the grade thresholds. Free to open, no account needed.
- Questions
- 10
- Marks
- 75
- Grade A from
- 62
File names: 9709_w14_qp_33 ยท 9709_w14_ms_33
Grade thresholds for 9709/33 Oct/Nov 2014
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 | 55 | 47 | 38 | 28 |
Topics in this paper
Which syllabus chapters 9709/33 Oct/Nov 2014 tested, by marks. Each chapter links to every past-paper question on it.
| Chapter | Questions | Marks |
|---|---|---|
| Trigonometry | 4 | 20 |
| Iteration | 1 | 10 |
| Linear Law | 1 | 9 |
| Integration | 1 | 8 |
| Polynomials | 1 | 7 |
| Inequalities and Modulus | 1 | 4 |
| Complex Numbers | 1 | 3 |
Questions in 9709/33 Oct/Nov 2014
- Question 1
- Question 2
- Question 3
The polynomial 4x3 + ax2 + bx โ2, where a and b are constants, is denoted by px. It is given that โฆ
- Question 4
(i) Show that cos1 โ60ร + cos1 โฆ
- Question 5
The complex numbers w and ร are de๏ฌned by โฆ
- Question 6
- Question 7
The equations of two straight lines are โฆ
- Question 8
The variables x and y are related by the differential equation dy dx = 1 5xy 1 2 sin โฆ
- Question 9
(i) Sketch the curve y = lnx + 1 and hence, by sketching a second curve, show that the equation x3 + lnx โฆ
- Question 10
By ๏ฌrst using the substitution u = ex, show that ร ln4 โฆ
Other Mathematics papers from Oct/Nov 2014
- 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 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)