Perkongsian | Pengalaman dan Pengetahuan
1 Round off 0.0109 correct to three significant figures.
A 0.0110
B 0.01100
C 0.0100
D 0.011
2 0.0107 + 7.5 × 10–3 =
A 1.82 × 10–2
B 7.607 × 10–2
C 1.82 × 10–3
D 7.607 × 10–3
3 [pic]=
A 1.75 × 101
B 1.75 × 105
C 1.75 × 106
D 1.75 × 107
4 Convert 111010 to a number in base eight.
A 738
B 2178
C 21258
D 21268
5 10112 – 1002 =
A 310 C 1410
B 710 D 2810
6 [pic]
Diagram 1
From Diagram 1, it is given that AB is of the same length as BE. OBEP is a rectangle. AEC is a straight line. Calculate the sum of x, y and z.
A 140°
B 170°
C 190°
D 220°
7 In Diagram 2, PAQ and QBR are tangents to the circle with center O, at point A and B respectively.
[pic]
Diagram 2
Given that AC = BC, find the value of x + y.
A 19
B 57
C 104
D 123
8 In Diagram 3, polygon Q is the image of polygon P under a clockwise rotation of 90°.
[pic]
Diagram 3
Which of the points A, B, C and D is the centre of rotation?
9 Diagram 4 shows the irregular shapes. TSUVWX and ABCDEF.
[pic]
Diagram 4
Given that TSUVWX is the image of ABCDEF with centre O under an enlargement. The scale factor of the enlargement is
A [pic] C 2
B [pic] D 4
10 Diagram 5 shows a right-angled triangle, PQS. PQR is a straight line.
[pic]
Diagram 5
Find the value of sin z°.
A –[pic] C [pic]
B [pic] D [pic]
11 In Diagram 6, PQR and QRS are right-angled triangle. Given that 2PR = 3RS.
[pic]
Diagram 6
Find the value of tan x°.
A –[pic] C [pic]
B –[pic] D [pic]
12 Diagram 7 shows a cuboid with a flat horizontal base BCGH.
[pic]
Diagram 7
Find the angle between the plane DGH and the base BCGH.
A [pic]DHC C [pic]BHD
B [pic]CGD D [pic]GDC
13 [pic]
Diagram 8
Diagram 8 shows two vertical flag poles PTS and QR. T is a point vertically below P such that TS = QR. Name the angle of elevation of point Q from point S.
A [pic]PQS
B [pic]QTR
C [pic]RSQ
D [pic]TQS
14 T(48°S, 60°W) and S are two points on the surface of the earth. TS is the diameter of the parallel latitude. Find the position of point S.
A 48°N, 120°E C 48°S, 120°E
48°U, 120°T 48°S, 120°T
B 48°N, 120°W D 48°S, 60°E
48°U, 120°B 48°S, 60°T
15 Diagram 9 shows three points, M, O and N, on a horizontal plane. QO is a verticle pole.
[pic]
Diagram 9
The angle of elevation of Q from N is 45°. Given that MO : ON = 2 : 3, find the distance, in m, of MN.
A 5 C 15
B 10 D 25
16 Points M and N lie on a horizontal plane. The bearing of M from N is 72°. Which of the following diagrams shows the positions of M and N?
A [pic]
B [pic]
C [pic]
D [pic]
17 [pic]
Diagram 10
In Diagram 10, NOS is the axis of the earth. The position of P is
A 18°N, 5°E C 72°N, 5°E
B 18°N, 55°E D 72°N, 55°E
18 (4g – 5h)2 + g(g – 2h) =
A 17g2 – 38gh + 25h2
B 17g2 – 42gh + 25h2
C 15g2 – 38gh + 25h2
D 15g2 + 48gh + 25h2
19 Given that x =[pic][pic], express m2 in terms of x, a and k.
A [pic]
B [pic]
C [pic]
D [pic]
20 Express [pic]–[pic]as a single fraction in its simplest form.
A [pic]
B [pic]
C [pic]
D [pic]
21 Given 5 – 2(4w + 5) = 4 – 5w, find the value of w.
A –3 C 3
B [pic] D [pic]
22 Simplify: [pic]
A 28 × 72
B 24 × 7
C 72 × 2–8
D 7 × 2–4
23 Evaluate (34 × 510)[pic] ÷ (92 × 125–4)
A [pic].514
B [pic]. 514
C [pic]. 514
D [pic]. 514
24 List all the integers x that satisfying the inequalities 5x – 4 [pic] 70 [pic] 13x – 10.
A 7, 8, 9, 10, 11, 12, 13, 14
B 7, 8, 9, 10, 11, 12, 13
C 8, 9, 10, 11, 12, 13, 14
D 8, 9, 10, 11, 12, 13
25 The solution for 9x – 5 < 2 –[pic]is
A x ................
................
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