Cambridge O Level · 4037 · Paper 1
Additional Mathematics 4037/12 Oct/Nov 2011 past paper
Cambridge O Level Additional Mathematics (4037) Paper 1, variant 2, Oct/Nov 2011: the question paper and its official mark scheme, 11 questions worth 91 marks. Free to open, no account needed.
- Questions
- 11
- Marks
- 91
File names: 4037_w11_qp_12 · 4037_w11_ms_12
Topics in this paper
Which syllabus chapters 4037/12 Oct/Nov 2011 tested, by marks. Each chapter links to every past-paper question on it.
| Chapter | Questions | Marks |
|---|---|---|
| Calculus | 4 | 45 |
| Straight-line graphs | 2 | 15 |
| Trigonometry | 2 | 13 |
| Series | 1 | 8 |
| Simultaneous equations | 1 | 5 |
| Logarithmic and exponential functions | 1 | 5 |
Questions in 4037/12 Oct/Nov 2011
- Question 1
For Examiner’s Use 1 Show that 1 tan θ + cot θ = sin θ cos θ.
- Question 2
For Examiner’s Use 2 Find the coordinates of the points where the line …
- Question 3
For Examiner’s Use 3 (i) Express logx2 in terms of a logarithm to base 2. (ii) Using the result of part (i), and the substitution u = log2x, find the values of x which satisfy the equation log2x …
- Question 4
For Examiner’s Use 4 A curve has equation …
- Question 5
For Examiner’s Use 5 Variables x and y are such that, when y2 is plotted against 2x, a straight line graph is obtained. This line has a gradient of 5 and passes through the point …
- Question 6
For Examiner’s Use 6 (i) Given that …
- Question 7
Examiner’s Use 7 (i) Show that …
- Question 8
For Examiner’s Use 8 The line CD is the perpendicular bisector of the line joining the point …
- Question 9
For Examiner’s Use 9 (i) Given that …
- Question 10
For Examiner’s Use 10 (i) Solve 2 sec2 …
- Question 11
For Examiner’s Use 11 Answer only one of the following two alternatives. EITHER A curve has equation …