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WAEC Mathematics Past Questions & Answers - Page 226

1,126.

A tree is 8km due south of a building. Kofi is standing 8km west of the tree. Find the bearing of Kofi from the building

A.

315^o

B.

270^o

C.

225^o

D.

135^o

View answer & explanation

Correct answer is C

The bearing of Kofi from the building = 180° + 45°

= 225°

1,127.

A tree is 8km due south of a building. Kofi is standing 8km west of the tree. How far is Kofi from the building?

A.

4√2km

B.

8km

C.

8√2km

D.

16km

View answer & explanation

Correct answer is C

$x^2 = 8^2 + 8^2$

$x^2 = 64 + 64 = 128$

$x = \sqrt{128}$

= $8\sqrt{2}$ km

1,128.

A man bought a television set on hire purchase for N25,000, out of which he paid N10,000, if he is allowed to pay the balance in eight equal installments, find the value of each installment.

A.

N1250

B.

N1578

C.

N1875

D.

N3125

View answer & explanation

Correct answer is C

Price of television = N25,000

Paid N10, 000

Remainder = N(25,000 - 10,000)

= N15,000

Eight equal installments = $\frac{15,000}{8}$

= N1,875 per installment.

1,129.

A car moves at an average speed of 30kmh $^{-1}$ , how long does it take to cover 200 meters?

A.

2.4 sec

B.

24 sec

C.

144 sec

D.

240 sec

View answer & explanation

Correct answer is B

Speed = 30 kmh $^{-1}$

= $\frac{30 \times 1000}{3600}$

= $\frac{25}{3} ms^{-1}$

Time = $\frac{Distance}{Speed}$

= $\frac{200}{\frac{25}{3}}$

= $\frac{200 \times 3}{25}$

= 24 seconds

1,130.

Given that the logarithm of a number is $\bar{1}.8732$ , find, correct to 2 significant figures the square root of the number.

A.

0.29

B.

0.75

C.

0.86

D.

0.93

View answer & explanation

Correct answer is C

Let the number = d.

$\log d = \bar{1}.8732$

$\log \sqrt{d} = \frac{\bar{1}.8732}{2}$

= $\frac{\bar{2} + 1.8732}{2}$

= $\bar{1}.9366$

$\therefore \sqrt{d} = Antilog (\bar{1}.9366)$

= 0.86

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