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Candidate Name: Class: Index No:

DUNMAN SECONDARY SCHOOL

Where discernment, discipline, daring, determination

& duty become a part of life.

___________________________________________

PRELIMINARY EXAMINATION 2009

SECONDARY 4 EXPRESS/ 5 NORMAL (ACADEMIC)

MATHEMATICS 4016 / 1

2 H 18 AUG 2009

INSTRUCTIONS TO CANDIDATES:

Write your name, index number and class in the spaces provided at the top of this page.

Answerall the questions.

Write your answers and working in the spaces provided on the question paper.

If working is needed for any question, show it on the same page as the rest of the answer.

Omission of essential working will result in loss of marks.

YOU ARE EXPECTED TO USE AN ELECTRONIC CALCULATOR.

INFORMATION FOR CANDIDATES:

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.

Give non-exact numerical answers correct to 3 significant figures, or 1 decimal place in thecase of angles in degrees, unless a different level of accuracy is specified in the question.

For , use either your calculator value or 3.142, unless the question requires the answer in termof .

This question paper consists of17 printed pages including the cover page

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Siti Nawal [Turn over

Mathematical Formulae

Compound Interest

Total Amount = 1100

n

rP

+

.

Mensuration

Curved surface area of a cone = rl .

Curved surface area of a sphere = 24 r .

Volume of a cone =21

3r h .

Volume of a sphere =34

3r .

Area of triangleABC=1

sin2

bc A .

Arc length = r , where is in radians .

Sector area = 212

r , where is in radians .

Trigonometry

sin sin sin

a b c

A B C= = .

a2 = b2 + c22bc cosA .

Statistics

Mean =fx

f

.

Standard Deviation =

22fx fx

f f

.

2009/Prelim Exam/ Mathematics/ Sec 4E/5N Paper 1 Dunman Secondary School

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Answerall the questions.

ForExaminers

Use

1 The bell of Oxford High School rings every 35 minutes while that of ManchesterHigh School rings every 45 minutes. Suppose they ring together at 07 25 daily. Findthe time, using the 24-hour clock, when they will next ring together.

Answer [2]

ForExaminers

Use

2 (a)Simplify 21

2

3)3(9

33++

+

nn

nn

.

(b) Find the value ofb in 2112 3284 = bbb .

Answer (a) .. [2]

2009/Prelim Exam/ Mathematics/ Sec 4E/5N Paper 1 Dunman Secondary School

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Answer (b) .. [2]For

Examiners

Use

3 Mr Lim is a manager of a factory that builds machines. It takes w workers to

complete a machine in dworking days. If it takes 8 workers to complete a machine in30 days, find

(a) the equation relating w and d, (b) the number of workers Mr Lim needs to deploy to deliver 6 machines in 45 days.

Answer(a) [2]

Answer(b) .... [1]

4. One tap can fill a fish tank in 5 minutes. A second tap can fill the same tank in 3minutes and a pump can empty a full fish tank in 15 minutes. How long will it taketo fill the tank if both taps and pump are on?

Answer [2]

ForExaminers

Use

2009/Prelim Exam/ Mathematics/ Sec 4E/5N Paper 1 Dunman Secondary School

4

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For

ExaminersUse

5 The diagram below shows 3 cones that are geometrically similar. The heights ofconeA and coneB are 15 cm and 8 cm respectively.

(i) If the base radius ofA is 5 cm, find the base radius ofB.(ii) If the base area ofA is 90 cm2, find the base area ofB.

(iii) The volume ofCis6427 the volume ofB. Find the height ofC.

Answer(a) . [1]

Answer(b) .. [2]

Answer(c) ... [2]

For

ExaminersUse

2009/Prelim Exam/ Mathematics/ Sec 4E/5N Paper 1 Dunman Secondary School

A B C

158

5

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ForExaminers

Use

6 Solve the inequality8

1

4

56

2

72