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WAEC Mathematics Past Questions & Answers - Page 42

206.

An arc subtends an angle of 72o at the centre of a circle. Find the length of the arc if the radius of the circle is 3.5 cm. [Take π=227]

A.

6.6 cm

B.

8.8 cm

C.

4.4 cm

D.

2.2 cm

Correct answer is C

Length = θ360 x 2πr

= 72360×2227×0.53.5

= 4.4

207.

If logx 2 = 0.3, evaluate logx 8.

A.

2.4

B.

1.2

C.

0.9

D.

0.6

Correct answer is C

logx2 = 0.3

logx8 =  logx23 = 3 logx2

= 3 x 0.3 

= 0.9

208.

In XYZ, |YZ| = 32cm, < YXZ 53o and XZY = 90o. Find, correct to the nearest centimetre, |XZ|

A.

31 cm

B.

25 cm

C.

20 cm

D.

13 cm

Correct answer is B

Tan 52o = 32|XZ|

|XZ| = 32Tan52o

= 25cm

209.

If 2a = 64 and ba = 3, evaluate a2+b2 

A.

250

B.

160

C.

90

D.

48

Correct answer is C

2a = 64

2a = 8

2a = 23

a = 3

b = 3a

b = 3 x 3 = 9

a2 + b2 = 32 + 92 

= 9 + 81 = 90

210.

The total surface area of a solid cylinder 165cm2. Of the base diameter is 7cm, calculate its height. [Take π=227]

A.

7.5 cm

B.

4.5 cm

C.

4.0 cm

D.

2.0 cm

Correct answer is C

165 = 2 x 227 x 72 x h + 2 x 227 x 72 x 72

165 = 22h + 77 

22h22=8822

height = 4cm