Gess Prelim 1 2012 Poa Paper with Answers

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| | | |[pic] |GAN ENG SENG SCHOOL | | |PRELIMINARY EXAMINATION I | | | | | |2012 |

Subject:ADDITIONAL MATHEMATICS

Paper:ONE

Level:SECONDARY 4 EXPRESS/ 5 NORMAL ACADEMIC

Date:27 JUNE 2012

Duration:2 HOURS

INSTRUCTIONS TO CANDIDATES:

Write your name, class and class index number 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 questions.
Write your answers on the separate answer 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 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 marks for this paper is 80.

_____________________________________________________________________________ This paper consists of 6 printed pages including the cover page. [Turn over]
Mathematical Formulae

1. ALGEBRA
Quadratic Equation

For the equation [pic],
[pic]

Binomial expansion
[pic],

where n is a positive integer and [pic]

2. TRIGONOMETRY
Identities
[pic]

[pic]

[pic]

[pic]

[pic]

[pic]

[pic]

[pic]

[pic]

[pic]

[pic]

[pic]

[pic]

Formulae for (ABC
[pic]

[pic]
[pic]
| | | | | |Answer all questions. | | | | | | |1 |Differentiate, with respect to x, | | | |(a) [pic], |[2] | | |(b) |[pic]. |[2] | | | | | | |2 |The diagram below shows part of the straight line graph drawn to represent the equation [pic] Given that the straight line passes |[6] | | |through (2, 0) and has a gradient of [pic], find the value of p and q. | | | | | | | |[pic] | | | |...
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