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WAEC Mathematics Past Questions & Answers - Page 116

576.

The diagram shows a cyclic quadrilateral PQRS with its diagonals intersecting at K. Which of the following triangles is similar to triangle QKR?

A.

PQK

B.

PKS

C.

SKR

D.

PSR

Correct answer is C

No explanation has been provided for this answer.

578.

If 27x = 9y. Find the value of xy

A.

13

B.

23

C.

112

D.

3

Correct answer is B

27x = 9y

33x = 32y

3x = 2y

579.

In a quiz competition, a student answers n questions correctly and was given D(n + 50) for each question correctly answered. If he gets D600.00 altogether, how many questions did he answer correctly?

A.

18

B.

15

C.

12

D.

10

Correct answer is D

let the number of question = n

n(n + 50) = 600

n2 + 50n - 600 - 0 by quadratic formular

x = b±b24ac2

n = 50±5024(1)(600)2(1)

= 50±49002

= 50+702

= 202

= 10

580.

John pours 96 litres of red oil into a rectangular container with length 220cm and breadth 40cm. Calculate, correct to the nearest cm, the height of the oil in the container

A.

11cm

B.

18cm

C.

21cm

D.

34cm

Correct answer is A

volume of rectangular container = L x B x H

1 litre = 1000cm3

96 litres = 1000cm31litres x 96 litres

volume = 96000cm3

96000 = 220 x 40 

96--- = 8800H

H = 960008800

= 10.97cm

= 11cm