FIJI SCHOOL LEAVING CERTIFICATE EXAMINATION 2013

MATHEMATICS

Time Allowed: Three Hours

(An extra ten minutes is allowed for reading this paper.)

INSTRUCTIONS

1.

Write all your answers in the Answer Book provided.

2.

Write your Index Number on the front page and inside the back flap of the Answer Book.

3.

If you need more paper, ask the supervisor for extra sheets. Tie these sheets inside the Answer Book at the appropriate places.

4.

You may use a calculator, provided it is silent, battery-operated and non-programmable.

5.

Unless otherwise stated, all rounding off should be corrected to two decimal places. Rounding off decimal answers should be done only at the final step.

6.

There are two sections in the paper. Both sections are compulsory.

7.

You are required to start each question in Section B of the Answer Book on a new page. Note: The required tables and formulae you will need during the examination are given on pages 20 to 25.

SUMMARY OF QUESTIONS

Section

Guidelines

Part I

There are twenty multiple-choice questions.

All questions are compulsory.

Total

Mark

20

A

72 mins

Part II

There are ten short-answer questions.

All questions are compulsory.

B

Suggested

Time

There are six long-answer questions.

All questions are compulsory.

20

60

COPYRIGHT: MINISTRY OF EDUCATION, FIJI, 2013.

108 minutes

2.

SECTION A

[40 marks]

There are two parts to this section. Answer both parts.

PART I

MULTIPLE – CHOICE QUESTIONS

(20 marks)

The multiple-choice questions in this part are all compulsory. Each question is worth 1 mark.

INSTRUCTIONS FOR MULTIPLE – CHOICE QUESTIONS

1. In your Answer Book, circle the letter which represents the best answer. If you change your mind, put a line through your first choice and circle the letter of your next choice. 8

For example:

A

B

C

D

2. If you change your mind again and like your first answer better, put a line through your second circle and tick (✓

✓) your first answer.

8

For example:

A

B

✓

C

D

3. No mark will be given if you circle more than one letter for a question.

1.

The operation table below is for the set, M =

{ p , q , r , s } under the operation *

*

p

q

r

s

p

r

s

p

q

q

s

p

q

r

r

p

q

r

s

s

q

r

s

p

The identity element is

A.

p

B.

q

C.

r

D.

s

© MINISTRY OF EDUCATION, FSLCE 2013: MATHEMATICS.

3.

2.

Which of the following represents the graph of a quadratic function with one real root? y

A.

y

B.

x

x

y

C.

y

D.

x

x

3.

Which of the following lines is parallel to the line 2 y = 3 x −

A.

y=

2

1

x+

3

2

B.

y=

−2

x +1

3

C.

y = 3x +

D.

y=

1

?

2

1

2

3

x +1

2

Turn Over

© MINISTRY OF EDUCATION, FSLCE 2013: MATHEMATICS.

4.

4.

The graph of y = f (x ) is shown below.

y

x

The graph which represents the inverse function, y = f −1 ( x ) is y

A.

y

B.

x

y

C.

x

y

D.

x

5.

The graph of y = 3e x is shown on the right.

The y intercept labelled ‘a’ is

A.

0

B.

1

C.

2

D.

3

x

y

a

x

© MINISTRY OF EDUCATION, FSLCE 2013: MATHEMATICS.

5.

6.

A relation is represented by the graph shown below.

y

2

1

-2

-1

0