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 BNSS / SEC 4 EX PRESS/ 2009 PRELIMINARY EXAMINATION / PAPER 1 

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BEDOK NORTH SECONDARY SCHOOL

Vision : Creative life-long learners ; morally upright , caring and loyalMission : To develop pupils’ potential to the fullest through quality

programmes and guidance of teachers, within a caring schoolcommunity.

PRELIMINARY EXAMINATION 2009

ADDITIONAL MATHEMATICS 4038/ 01Paper 1

Date: 18th

September 2009

Sec Four Express 2 hoursAdditional Materials: Answer Paper ( 8 pieces )

READ THESE INSTRUCTIONS FIRST

Write your answers and working on the separate answer paper provided.

Write your name, class register number and class on all the work you hand in.

Write your Teacher Mentor Name on your exam script.Write in dark blue or black pen on both sides of the paper.

You may use a pencil for any diagrams or graphs.

Do not use staples, paperclips, highlighters, glue or correction fluid.

Answer all questions.Write your answers on the foolscap 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 a scientific 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 of the marks for this paper is 80. 

This document consists of 6 printed pages

Name Reg No. Class

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 BNSS / SEC 4 EX PRESS/ 2009 PRELIMINARY EXAMINATION / PAPER 1 

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Setter : Mrs Tan Chin Wern [Turn Over] 

 Mathematical Formulae

1. ALGEBRA

Quadratic Equation

For the equation  02=++ cbxax , 

a

acbb x

2

42−±−

=  

  Binomial expansion 

nr r nnnnnbba

r 

nba

nba

naba ++

 

  

 ++

 

  

 +

 

  

 +=+

−−− ......21

)( 221 , 

where n is a positive integer and !

)1(...)1(

)!(!

!

r 

r nnn

r nr 

n

r 

n +−−=

−=

 

  

  

2. TRIGONOMETRY

 Identities

1cossin 22=+  A A  

 A A 22 tan1sec +=  

 A Acosec 22 cot1+=  

 B A B A B A sincoscossin)sin( ±=±  

 B A B A B A sinsincoscos)cos( m=±  

 B A

 B A B A

tantan1

tantan)tan(

m

±=±  

 A A A cossin22sin =  

 A A A A A 2222 sin211cos2sincos2cos −=−=−=  

 A

 A A

2tan1

tan22tan

−=  

)(cos)(sin2sinsin21

21  B A B A B A −+=+  

)(sin)(cos2sinsin2

1

2

1  B A B A B A −+=−  

)(cos)(cos2coscos2

1

2

1  B A B A B A −+=+  

)(sin)(sin2coscos2

1

2

1  B A B A B A −+−=−  

Formulae for ∆ ABC  

C 

c

 B

b

 A

a

sinsinsin==  

 Abccba cos2222−+=  

C absin2

1=∆