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MATHEMATICAL FORMULAEThe following formulae may be helpful in answering the questions. The symbols given are the ones commonly used.RELATIONS

1am x an = a m+ n2am ( an = a m n3( am )n = a mn4A-1 =

EMBED Equation.3 5P ( A ) =

6P ( A( ) = 1 ( P(A)

7Distance =

8Midpoint, ( x, y ) =

EMBED Equation.3

9Average speed =

10Mean =

11Mean =

12Pythagoras Theorem

c2 = a2 + b2

13m =

14m = (

SHAPES AND SPACE

1Area of trapezium = sum of parallel sides height

2Circumference of circle = (d = 2(r3Area of circle = (r24Curved surface area of cylinder = 2(rh

5Surface area of sphere = 4(r26Volume of right prism = cross sectional area length

7Volume of cylinder = (r2h

8Volume of cone = (r2h9Volume of sphere = (r310Volume of right pyramid = base area height

11Sum of interior angles of a polygon = ( n 2) 18012

EMBED Equation.3 13

14Scale factor , k =

15Area of image = k 2 area of object

Answer all questions1

Round off 0.03204 correct to three significant figures.

A0.03

B0.032

C0.0320

D0.0321

2

A

B

C

D

3

A

B

C

D

4

Diagram 1 shows a rectangle and three regular octagons. Given that the area of an

octagon is .

Find the area of the shaded regions and give your answer correct to three significant figures.

A92.4 unit2

B92.5 unit2

C92.400 unit2

D92.500 unit2

5

Express as a number in base eight.

A

B

C

D

6

A

B

C

D

7

In Diagram 2, PQRST is a regular pentagon. UTR is a straight line.

The value of

A36

B42

C78

D108

8

In Diagram 3, PQRS is a rhombus, PSTU is a trapezium and QST is a straight line.

The value of x is

A

B

C

D

9

Diagram 4 shows a circle with centre O. LM and LN are tangents to the circle at points M and N respectively.

Find the value of x.

A30

B40

C50

D60

10

In Diagram 5, PQRS is a cyclic quadrilateral and TS is a tangent to the circle at point S.

Find the value of x.

A30

B40

C60

D80

11

Diagram 6 shows points plotted on Cartesian plane.

Determine which of the point, A, B, C or D, is the image of point R under a 90( anticlockwise rotation about the centre (3, 1).

12

Diagram 7 shows two quadrilaterals, PQRS and PQ(R(S ( drawn on square grids. Quadrilateral PQ(R(S ( is the image of quadrilateral PQRS under an enlargement at centre P with the scale factor k.

Find the value of k.

A(2

B(

C

D2

13

In Diagram 8, O is the centre of a unit circle.

Find the value of sin .

A(0.9063

B(0.4226

C0.9063

D2.1446

14

Diagram 9 shows the graph of y = cos x(.

Find the value of q.

A90(

B120(

C150(

D210(

15

Determine which of the following is the graph of y = sin x( for 0(90(.

A

B

C

D

16

Diagram 10 shows a right triangular prism. U is the midpoint of TV.

Name the angle between the line UQ and the plane PSTV.

A(PQU

B(QUP

C(QPU

D(QUV

17

Express as a single fraction in its simplest form.

A

B

C

D

18

A

B

C

D

19

A

B

C

D

20

Given that , express p in terms of r.

A

B

C

D

21

Given that , express y in terms of x.

A

B

C

D

22Simplify

A

B

C

D

23

Simplify .

A

B

C

D

24

Given that , then k =

A

B

C

D

25List all the integers x which satisfy both of the inequalities and

A(3, (2, (1, 0, 1, 2

B(2, (1, 0, 1, 2

C(2, (1, 1, 2

D0, 1, 2

26

The solution for and is

A

B

C

D

27

Table 1 shows the frequency of the score obtained in a game.

Given that the median score is 2, find the value of x.

A1

B2

C3

D4

28

Diagram 11 shows the monthly expenditure among the students of 5 Alfa and 5 Beta.

Calculate the mean of expenditure, in RM, of the students from the two classes.

ARM 5.00

BRM 25.00

CRM 26.38

DRM 27.05

29

Determine which of the following graphs represents .

30

Diagram 12 shows a Venn diagram with the universal set, , set P, Q, and R.

The shaded region in the Venn diagram represent the set

A

B

C

D

31

Diagram 13 shows the number of elements in set X, Y and Z.

Given that n(X) = n(Y), find the value of m.

A1

B2

C3

D4

32

Given that the universal set . Set , Set and Set .Set is

A

B

C

D

33

Table 2 shows the relation between three variables g, h and f.Given that g varies directly as h and varies inversely as f.

3x6

102

Find the value of x.

A4

B18

C25

D36

34

Given that

EMBED Equation.3 and y = when = 2 and x = 2 .

Find the value of when y = 1 and x = 6.

A

B

C1

D2

35

A straight line PQ with gradient passes through the point (4, 9).

Find the y-intercept of the line.

A7

B8

C10

D20

36

A straight line passes through the points K (0 , 2) and L (, 0) and has a gradient of ( , find the value of .

A(8

B(2

C2

D8

37

A box contains 42 red pens and blue pens. If a pen is picked randomly from the box, the probability of picking a blue pen is . Find the number of red pen.

A18

B24

C38

D42

38

A two digit number is created from the digits in the set R.Given that R = { x : 2 x 4, x is an integer }.

Find the probability that the sum of the two digits is greater than 5.

A0

B

C

D1

39

Diagram 15 shows a bar graph which represent the games played by a group of students.

If a student is chosen randomly from the group, state the probability that the student likes to play football.

A

B

C

D

40

=

Find the value of k.

A

B

C

D

END OF QUESTION PAPERdistance travelled

time taken

sum of data

number of data

sum of (class mark frequency)

sum of frequencies

y-intercept

x-intercept

12.5 unit

13 unit

DIAGRAM 1

P

Q

R

T

S

U

30(

y(

x(

DIAGRAM 2

N

O

L

M

40(

x(

50(

N

O

L

M

40(

x(

50(

x(

EMBED Equation.3

S

T

P

U

DIAGRAM 3

Q

R

N

O

L

M

40(

x(

50(

DIAGRAM 4

DIAGRAM 5

-2 0 2 4 6 8

x

2

4

6

y

(D

(A

( R

(B

(

C

DIAGRAM 6

P

Q(

Q

R(

S(

R

S

DIAGRAM 7

H ((0.4226, 0.9063)

O

x

1

-1

1

-1

DIAGRAM 8

(

y

y

EMBED FXDraw200.Document

EMBED FXDraw200.Document

(

( q,(0.5)

DIAGRAM 9

4 cm

8 cm

P

Q

S

V

U

DIAGRAM 10

R

T

Score 01234Number of studentx4236

TABLE 1

EMBED MSGraph.Chart.8 \s

DIAGRAM 11

A

B

C

D

DIAGRAM 12

Y

X

Z

4(m

1

2

2m

1

2

DIAGRAM 13

TABLE 2

4

6

8

10

2

Games

Number of students

Football

Rugby

Hockey

Tennis

DIAGRAM 15

S

PAGE 11449/1 ( 2007 Hak Cipta SBP [Lihat sebelah

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