Cambridge O Level · 4037 · Paper 1
Additional Mathematics 4037/12 Oct/Nov 2010 past paper
Cambridge O Level Additional Mathematics (4037) Paper 1, variant 2, Oct/Nov 2010: the question paper and its official mark scheme, 12 questions worth 91 marks. Free to open, no account needed.
- Questions
- 12
- Marks
- 91
File names: 4037_w10_qp_12 · 4037_w10_ms_12
Topics in this paper
Which syllabus chapters 4037/12 Oct/Nov 2010 tested, by marks. Each chapter links to every past-paper question on it.
| Chapter | Questions | Marks |
|---|---|---|
| Calculus | 4 | 46 |
| Trigonometry | 3 | 14 |
| Circular measure | 1 | 10 |
| Straight-line graphs | 1 | 7 |
| Series | 1 | 6 |
| Factors of polynomials | 1 | 5 |
| Quadratic functions | 1 | 3 |
Questions in 4037/12 Oct/Nov 2010
- Question 1
The equation of a curve is given by …
- Question 2
(i) Sketch, on the same set of axes, the graphs of y = cos x and y = sin 2x for …
- Question 3
Show that cos x 1 – sin x + cos …
- Question 4
Factorise completely the expression …
- Question 5
- Question 6
(i) Find, in ascending powers of x, the first 3 terms in the expansion of …
- Question 7
(a) Sets A and B are such that …
- Question 8
Variables x and y are such that, when lny is plotted against lnx, a straight line graph passing through the points (2, 5.8) and (6, 3.8) is obtained. 1ny 1nx …
- Question 9
x cm x cm 4x cm A cm2 The figure shows a rectangular metal block of length 4x cm, with a cross-section which is a square of side x cm and area A cm2. The block is heated and the …
- Question 10
- Question 11
(i) Find 1 1+ x dx. (ii) Given that …
- Question 12
Answer only one of the following two alternatives. EITHER A curve is such that dy dx …