Cambridge A Level ยท 9709 ยท Paper 3 ยท Pure Mathematics 3
Mathematics 9709/33 May/June 2012 past paper
Cambridge A Level Mathematics (9709) Paper 3 (Pure Mathematics 3), variant 3, May/June 2012: 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
- 59
File names: 9709_s12_qp_33 ยท 9709_s12_ms_33
Grade thresholds for 9709/33 May/June 2012
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 |
|---|---|---|---|---|
| 59 | 52 | 0 | 0 | 28 |
Topics in this paper
Which syllabus chapters 9709/33 May/June 2012 tested, by marks. Each chapter links to every past-paper question on it.
| Chapter | Questions | Marks |
|---|---|---|
| Trigonometry | 3 | 23 |
| Complex Numbers | 1 | 11 |
| Partial Fractions | 1 | 10 |
| Integration | 1 | 9 |
| Differential Equations | 1 | 8 |
| Differentiation | 1 | 6 |
| Binomial | 1 | 4 |
| Indices, Surds and Logs | 1 | 4 |
Questions in 9709/33 May/June 2012
- Question 1
Expand 1 โ(4 + 3x) in ascending powers of x, up to and including the term in x2, simplifying the coef๏ฌcients.
- Question 2
- Question 3
The parametric equations of a curve are x = sin โฆ
- Question 4
- Question 5
In a certain chemical process a substance A reacts with another substance B. The masses in grams of A and B present at time t seconds after the start of the process are x and y respectively. It is given โฆ
- Question 6
- Question 7
O x y R p2 The diagram shows part of the curve y = cos(โx) for x โฅ0, where x is in radians. The shaded region between the curve, the axes and the line โฆ
- Question 8
- Question 9
The lines l and m have equations โฆ
- Question 10
(a) The complex numbers u and w satisfy the equations โฆ
Other Mathematics papers from May/June 2012
- 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)