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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