Cambridge O Level ยท 4037 ยท Paper 2
Additional Mathematics 4037/24 May/June 2021 past paper
Cambridge O Level Additional Mathematics (4037) Paper 2, variant 4, May/June 2021: the question paper and its official mark scheme, 12 questions worth 80 marks. Free to open, no account needed.
- Questions
- 12
- Marks
- 80
File names: 4037_s21_qp_24 ยท 4037_s21_ms_24
Topics in this paper
Which syllabus chapters 4037/24 May/June 2021 tested, by marks. Each chapter links to every past-paper question on it.
| Chapter | Questions | Marks |
|---|---|---|
| Calculus | 4 | 28 |
| Functions | 1 | 10 |
| Trigonometry | 1 | 9 |
| Series | 1 | 8 |
| Vectors in two dimensions | 1 | 7 |
| Straight-line graphs | 1 | 6 |
| Quadratic functions | 1 | 5 |
| Simultaneous equations | 1 | 4 |
| Equations, inequalities and graphs | 1 | 3 |
Questions in 4037/24 May/June 2021
- Question 1
Find the exact solution of the equation โฆ
- Question 2
- Question 3
Variables x and y are such that when lgy is plotted against lgx a straight line passing through the points โฆ
- Question 4
- Question 5
Solve the simultaneous equations โฆ
- Question 6
The variables x and y are such that โฆ
- Question 7
- Question 8
(a) (i) Show that sin cos sin โฆ
- Question 9
A function f is defined, for all real values of x, by โฆ
- Question 10
(a) A particle P travels in a straight line so that, t seconds after passing through a fixed point O, its displacement, s metres from O, is given by โฆ
- Question 11
OAB is a triangle. The position vectors of points A and B relative to the origin O are a and b respectively. The side AB is extended to point C such that AB AC โฆ
- Question 12
(a) The first term of an arithmetic progression is โ5 and the fifth term is 7. Find the sum of the first 40 terms of this progression. (b) A geometric progression has third term of 8 and sixth term of โฆ