Answer all questions

1. Round off 0.09651 correct to two significant figures.

A. 0.090 C. 0.097

B. 0.096 D. 0.10

2. 7.26 × 5.3 × =

A. 1.96 × C. 6.73 ×

B. 1.96 × D. 6.73 ×

3. Express 0.0007023 × as a number in standard form.

A. 0.7023 × C. 7.023 ×

B. 7.023 × D. 7023 ×

4. A motorcycle moved at a speed of 120km . Find the distance, in m, travelled by the

motorcycle in 90 minutes.

A. 3.0 ×

B. 1.8 ×

C. 1.08 ×

1

D. 1.08 ×

5. In Diagram 1, AB is a tangent to the circle at point P and ASR is a straight line.

No 5 sbp 2006

DIAGRAM 1

Find the value of y.

A. 25 C. 48

B. 31 D. 53

6. Given that , then r =

A. C.

B. 1-2s D.

2

7. In Diagram 2, O is the centre of the circle. AB and CB are tangents to the circle at A and

C respectively.

Sbp 2oo6 no7

DIAGRAM 2

Find the value of y.

A. 110 C. 120

B. 115 D. 125

8. Express as a single fraction in its simplest form.

A. C.

B. D.

9. =

A. C.

B. D.

10. Diagram 3 shows the graphs of y = sin x and y = cos x.

3

Sbp 2006 no 10

DIAGRAM 3

The x-coordinate of point P is

A. 270° C. 215°

B. 225° D. 180°

11. Which of the following statement is true?

A. C. 1 + 2 = 3 and 3 × 2 = 5

B D

12. Simplify p × ( ÷ =

A. 3p C. 4p

B. 3 D. 4

13. In Diagram 4, KLMN is a straight line and JK = KM.

Sbp 2006 n0 12

DIAGRAM 4

4

The value of tan x is

A. C. –3

B. D. –4

14. Diagram 5 is a pictograph showing the number of three types of stationary sold by a shop

in a particular week. The ratio of the number of pens to the number of erasers is 3:2.

represents 1 dozen of stationary

Find the total number of rulers and erasers sold in that week.

A. 48 C. 84

B. 72 D. 100

15. Diagram 6 shows a triangle KLM and a shaded triangle, drawn on square grids.

Diagram dari sbp 2006 soalan 14

DIAGRAM 6

Triangle KLM is the image of the shaded triangle under an enlargement. Which of the points, A,

B, C or D, is the centre of the enlargement?

16. In Diagram 7, MLK is a straight line.

5

Pen

Ruler

Eraser

Sbp 2007 no 16

DIAGRAM 7

Given that sin x = , then tan y =

A. C.

B. D.

17. =

A. 2 C. 37.5

B. 5 D. 50

18. Given that cos x = - 0.6520. Calculate the possible values of x if 0º ≤ x ≤ 360º .

A. 130º 42’ and 229º 18’ C. 130º 18’ and 220º 42’

B. 130º 42’ and 220º 42’ D. 139º 18’ and 229º 18’

19. Diagram 8 shows a right prism with rectangular base KLMN.

6

SBP 2006 NO 19

DIAGRAM 8

Calculate the angle between the line PL and the base KLMN.

A. 20° 18’ C. 24° 22’

B. 24° 16’ D. 26° 34’

20. There are two helicopters X and Y at height 300 m and 340 m above sea level

respectively. If the angle of elevation of helicopter Y from helicopter X is 41°, calculate the

horizontal distance, in m, between the two helicopters.

A. 26.2 C. 34.2

B. 30.2 D. 46.0

21.

A. C.

B. D.

22. Given that , express m in terms of n

7

A. C.

B. D.

23. Given that 8(p - 2) = 6 - 3p, find the value of p.

A. C. 3

B. 2 D.

24. List all the integer values of k which satisfy both the inequalities 3k < 7 and5 – 2k 9.

A. -1, 0, 1 C. -2, -1, 0, 1B. -1, 0, 1, 2 D. -2, -1, 0, 1, 2

25. Simplify

A. pr + r C.

B. p + r D.

26. Given that x is an integer, find all the values of x that satisfy both the inequalities

and and

A. 0, 1 C. -1, 0, 1, 2 B. -1, 0, 1 D. -1, 0, 1, 2, 3

8

27. Given the set of numbers Determine the range of the above set of numbers.

A. 12 C. 29 B. 18 D. 30

28. Table 1 shows the score obtained by a group of students in a contest.

Score 0 1 2 3 4Number of students

3 3 4 M 3

Given that the mean score is 2.2, find the value of m.

A. 2B. 3C. 5D. 7

29.

Diagram 9 is a chart which shows the number of drinks ordered at a food stall. Calculate the angle of sector of a pie chart which represents the number of tea that have been ordered

9

3 , 7 , 1 , 12 , 19 , 30 , 21

0 10 3020 40

Tea

Coffea

Soy

Types of drink

Numbers of Orders

A. C.

B. D.

30. Diagram 10 shows a Venn diagram with the number of elements in the universal set , set

X and set Y.

DIAGRAM 10

Given that , n( ξ ) = 21 , the value of n( X΄ Y΄ ) is

A. 8 C. 11B. 10 D. 13

31. It is given that universal set, = { x: 19 ≤ x < 31, x is an integer } and set R = { x: x is a

number such that the sum of its two digits is an even number}. Find set R’.

A. { 20, 22, 24, 26, 28 } C. { 19, 21, 23, 25, 27, 29 } B. { 21, 23, 25, 27, 29 } D. {21, 23, 25,27,29, 30 }

32. Given that P = { prime factors of 45 }, list all the elements of P.

A. { 3, 5 } C. { 1, 3, 5, 9 } B. { 3, 5, 9 } D. { 1, 3, 5, 9, 15 }

10

y5

62

6

Xξ

33. Find the x-intercept of the straight line 4y = 2x – 16

A. 8 C. - 4

B. - 8 D. 4

34. Diagram 11 shows two points on a Cartesian plane. Find the gradient of the line LM.

DIAGRAM 11

A. C.

B. 2 D. -2

35. Find the coordinates of the point of intersection of the lines y = 2x + 6 and 3x + 2y = 5.

A. ( 4, -1 ) C. ( 1, 1 ) B. ( -1, 4 ) D. ( 2, 3 )

36. There are 35 blue balls and x red balls in a box. If a ball is randomly selected from the

box, the probability of a red ball being selected is . Find the value of x.

A. 9 C. 13

11

L (2,6)

M(4,2)

x

y

B. 10 D. 21

37. Find the mean of the following data

6, 11, 13, 5, 7, 9, 10, 6, 5

A. 7 C. 7.6B. 8 D. 6.5

38. Given B = {1 , 2 , 3 , 6 }, find the number of subsets of B

A. 8 C. 32B. 16 D. 64

39. A box consists of 5 red pens, 6 black pens and 9 blue pens. If x black pens are added into the

box and the probability of getting a blue pen is , find the value of x.

A. 5 C. 10 B. 6 D. 25

40. Table 2 shows the number of doctors from three cities.

Gender

City

Male Female

x 35 10y 25 15z 15 20

Table 2

If a female doctor is picked at random, find the probability of picking a female doctor from city Y.

A. C.

12

B. D.

13