© UCLES 2007 [Turn over

UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS

General Certificate of Education Ordinary Level

READ THESE INSTRUCTIONS FIRST

If you have been given an Answer Booklet, follow the instructions on the front cover of the Booklet. Write your Centre number, candidate number and name on all the work you hand in. Write in dark blue or black pen.

You may use a soft pencil for any diagrams or graphs.

Do not use staples, paper clips, highlighters, glue or correction fluid. Answer all the questions.

Write your answers on the separate Answer Booklet/Paper provided. Give non-exact numerical answers correct to 3 significant figures, or 1 decimal place in the case of angles in degrees, unless a different level of accuracy is specified in the question. The use of an electronic calculator is expected, where appropriate. You are reminded of the need for clear presentation in your answers. At the end of the examination, fasten all your work securely together. The number of marks is given in brackets [ ] at the end of each question or part question. The total number of marks for this paper is 80.

* 4 6 6 6 7 2 9 7 1 3 *

ADDITIONAL MATHEMATICS 4037/01

Paper 1 May/June 2007

2 hours

Additional Materials: Answer Booklet/Paper

Graph paper

Mathematical tables

www.xtremepapers.net

2

© UCLES 2007 4037/01/M/J/07

Mathematical Formulae

1. ALGEBRA

Quadratic Equation

For the equation ax2 + bx + c = 0,

x

b b ac

a

= − 2 − 4

2

.

Binomial Theorem

(a + b)n = an + (n

1)an–1 b + (n

2)an–2 b2 + … + (n

r)an–r br + … + bn,

where n is a positive integer and (n

r) = n!

(n – r)!r!

.

2. TRIGONOMETRY

Identities

sin2 A + cos2 A = 1.

sec2 A = 1 + tan2 A.

cosec2 A = 1 + cot2 A.

Formulae for ΔABC

a

sin A =

b

sin B =

c

sin C

.

a2 = b2 + c2 – 2bc cos A.

Δ = 1

2

bc sin A.

www.xtremepapers.net

3

© UCLES 2007 4037/01/M/J/07 [Turn over

1 (a)

A

B

C

...

(1)