Cambridge A Level ยท 9709 ยท Paper 3 ยท Pure Mathematics 3
Mathematics 9709/33 Oct/Nov 2011 past paper
Cambridge A Level Mathematics (9709) Paper 3 (Pure Mathematics 3), variant 3, Oct/Nov 2011: 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
- 51
File names: 9709_w11_qp_33 ยท 9709_w11_ms_33
Grade thresholds for 9709/33 Oct/Nov 2011
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 |
|---|---|---|---|---|
| 51 | 45 | 0 | 0 | 23 |
Topics in this paper
Which syllabus chapters 9709/33 Oct/Nov 2011 tested, by marks. Each chapter links to every past-paper question on it.
| Chapter | Questions | Marks |
|---|---|---|
| Trigonometry | 4 | 29 |
| Integration | 1 | 10 |
| Polynomials | 1 | 9 |
| Iteration | 1 | 8 |
| Complex Numbers | 1 | 8 |
| Differential Equations | 1 | 7 |
| Binomial | 1 | 4 |
Questions in 9709/33 Oct/Nov 2011
- Question 1
Expand 16 (2 + x)2 in ascending powers of x, up to and including the term in x2, simplifying the coef๏ฌcients. 2x
- Question 2
- Question 3
- Question 4
During an experiment, the number of organisms present at time t days is denoted by N, where N is treated as a continuous variable. It is given that dN dt = 1.2eโ0.02tN0.5. When โฆ
- Question 5
- Question 6
The complex number w is de๏ฌned by โฆ
- Question 7
The polynomial p(x) is de๏ฌned by p(x) = ax3 โฆ
- Question 8
x y O The diagram shows the curve with parametric equations x = sin t + cos โฆ
- Question 9
- Question 10
(i) Use the substitution u = tan x to show that, for โฆ
Other Mathematics papers from Oct/Nov 2011
- 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)