Specimen Paper: Additional Mathematics
UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS
General Certificate of Education Ordinary Level
4037/02
ADDITIONAL MATHEMATICS
For Examination from 2013
Paper 2
SPECIMEN PAPER
2 hours
Candidates answer on the Question Paper.
No Additional Materials are required.
READ THESE INSTRUCTIONS FIRST
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 pencil for any diagrams or graphs.
Do not use staples, paper clips, highlighters, glue or correction fluid.
Answer all the questions.
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.
This document consists of 15 printed pages and 1 blank page.
© UCLES 2012
[Turn over
2
Mathematical Formulae
1. ALGEBRA
Quadratic Equation
For the equation ax2 + bx + c = 0, x= − b ± b 2 − 4ac
.
2a
Binomial Theorem
n
(a + b)n = an + an–1 b +
1
n n–2 2
a b +…+
2
n n! . where n is a positive integer and =
r
(n − r )! r!
2. TRIGONOMETRY
Identities
sin2 A + cos2 A = 1. sec2 A = 1 + tan2 A. cosec2 A = 1 + cot2 A.
Formulae for ∆ABC
a b c
.
=
=
sin A sin B sin C a2 = b2 + c2 – 2bc cos A.
∆=
© UCLES 2012
1
2
bc sin A.
4037/02/SP/13
n n–r r
a b + … + bn,
r
3
1
2
13 6
–1
Given that A =
7 4 , find the inverse matrix A and hence solve the simultaneous equations
13x + 6y = 41,
7x + 4y = 24.
[4]
For
General Certificate of Education Ordinary Level
4037/02
ADDITIONAL MATHEMATICS
For Examination from 2013
Paper 2
SPECIMEN PAPER
2 hours
Candidates answer on the Question Paper.
No Additional Materials are required.
READ THESE INSTRUCTIONS FIRST
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 pencil for any diagrams or graphs.
Do not use staples, paper clips, highlighters, glue or correction fluid.
Answer all the questions.
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.
This document consists of 15 printed pages and 1 blank page.
© UCLES 2012
[Turn over
2
Mathematical Formulae
1. ALGEBRA
Quadratic Equation
For the equation ax2 + bx + c = 0, x= − b ± b 2 − 4ac
.
2a
Binomial Theorem
n
(a + b)n = an + an–1 b +
1
n n–2 2
a b +…+
2
n n! . where n is a positive integer and =
r
(n − r )! r!
2. TRIGONOMETRY
Identities
sin2 A + cos2 A = 1. sec2 A = 1 + tan2 A. cosec2 A = 1 + cot2 A.
Formulae for ∆ABC
a b c
.
=
=
sin A sin B sin C a2 = b2 + c2 – 2bc cos A.
∆=
© UCLES 2012
1
2
bc sin A.
4037/02/SP/13
n n–r r
a b + … + bn,
r
3
1
2
13 6
–1
Given that A =
7 4 , find the inverse matrix A and hence solve the simultaneous equations
13x + 6y = 41,
7x + 4y = 24.
[4]
For