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UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Ordinary Level
.c rs om
ADDITIONAL MATHEMATICS
4037/01
Paper 1 May/June 2004
2 hours
Additional Materials: Answer Booklet/Paper Graph paper (3 sheets) Mathematical tables
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 on both sides of the paper. 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. 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. The use of an electronic calculator is expected, where appropriate. You are reminded of the need for clear presentation in your answers.
This document consists of 5 printed pages and 3 blank pages.
MCS UCH206 S53343/5 © UCLES 2004
[Turn over
2
Mathematical Formulae
1. ALGEBRA Quadratic Equation For the equation ax2 + bx + c = 0, –b ± √ b2 – 4ac x = –––––––––––––– . 2a
Binomial Theorem (a + b)n = an +
(n) a 1
n – 1b
+
(n) a 2
n – 2 b2
+…+
( nr ) a
n – r br
+ … + b n,
where n is a positive integer and
–––––––– ( nr ) = (n –n! r! . r)!
2. TRIGONOMETRY Identities sin2 A + cos2 A = 1. sec2 A = 1 + tan2 A. cosec2 A = 1 + cot2 A.
Formulae for ∆ ABC c b a –––– = –––– = –––– . sin A sin B sin C a2 = b 2 + c2 – 2bc cos A.
1 ∆ = – bc sin A. 2
UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Ordinary Level
.c rs om
ADDITIONAL MATHEMATICS
4037/01
Paper 1 May/June 2004
2 hours
Additional Materials: Answer Booklet/Paper Graph paper (3 sheets) Mathematical tables
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 on both sides of the paper. 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. 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. The use of an electronic calculator is expected, where appropriate. You are reminded of the need for clear presentation in your answers.
This document consists of 5 printed pages and 3 blank pages.
MCS UCH206 S53343/5 © UCLES 2004
[Turn over
2
Mathematical Formulae
1. ALGEBRA Quadratic Equation For the equation ax2 + bx + c = 0, –b ± √ b2 – 4ac x = –––––––––––––– . 2a
Binomial Theorem (a + b)n = an +
(n) a 1
n – 1b
+
(n) a 2
n – 2 b2
+…+
( nr ) a
n – r br
+ … + b n,
where n is a positive integer and
–––––––– ( nr ) = (n –n! r! . r)!
2. TRIGONOMETRY Identities sin2 A + cos2 A = 1. sec2 A = 1 + tan2 A. cosec2 A = 1 + cot2 A.
Formulae for ∆ ABC c b a –––– = –––– = –––– . sin A sin B sin C a2 = b 2 + c2 – 2bc cos A.
1 ∆ = – bc sin A. 2