Cambridge O Level ยท 4037 ยท Paper 1
Additional Mathematics 4037/12 Oct/Nov 2015 past paper
Cambridge O Level Additional Mathematics (4037) Paper 1, variant 2, Oct/Nov 2015: the question paper and its official mark scheme, 10 questions worth 66 marks. Free to open, no account needed.
- Questions
- 10
- Marks
- 66
File names: 4037_w15_qp_12 ยท 4037_w15_ms_12
Topics in this paper
Which syllabus chapters 4037/12 Oct/Nov 2015 tested, by marks. Each chapter links to every past-paper question on it.
| Chapter | Questions | Marks |
|---|---|---|
| Calculus | 4 | 24 |
| Circular measure | 1 | 10 |
| Functions | 1 | 10 |
| Permutations and combinations | 1 | 7 |
| Straight-line graphs | 1 | 6 |
| Trigonometry | 1 | 5 |
| Quadratic functions | 1 | 4 |
Questions in 4037/12 Oct/Nov 2015
- Question 1
Find the range of values of k for which the equation kx k x xk โฆ
- Question 2
A curve, showing the relationship between two variables x and y, passes through the point โฆ
- Question 3
Show that sec cosec sec cosec โฆ
- Question 4
(a) 6 books are to be chosen from 8 different books. (i) Find the number of different selections of 6 books that could be made. A clock is to be displayed on a shelf with 3 of the 8 different โฆ
- Question 5
Variables x and y are such that ln โฆ
- Question 7
Two variables, x and y, are such that y Axb = , where A and b are constants. When lny is plotted against lnx, a straight line graph is obtained which passes through the points โฆ
- Question 8
Find the equation of the tangent to the curve โฆ
- Question 9
You are not allowed to use a calculator in this question. (i) Find โฆ
- Question 10
A E D B C 10 cm The diagram shows two circles, centres A and B, each of radius 10 cm. The point B lies on the circumference of the circle with centre A. The two circles intersect at the โฆ
- Question 11
(a) A function f is such that โฆ