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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 ×
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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.
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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
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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
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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
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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.
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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
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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
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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
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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
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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
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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.
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B. D.
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