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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.

$\bigtriangleup$ PQK

B.

$\bigtriangleup$ PKS

C.

$\bigtriangleup$ SKR

D.

$\bigtriangleup$ PSR

View answer & explanation

Correct answer is C

No explanation has been provided for this answer.

577.

A boy looks through a window of a building and sees a mango fruit on the ground 50m away from the foot of the building. If the window is 9m from the ground, calculate, correct to the nearest degree, the angle of depression of the mango from the window

A.

9^o

B.

10^o

C.

11^o

D.

12^o

View answer & explanation

Correct answer is B

tan $\theta$ = $\frac{9}{50}$ = 0.18

$\theta = tan^{-1} 0.18$

$\theta$ = 10.20

578.

If 27^x = 9^y. Find the value of $\frac{x}{y}$

A.

$\frac{1}{3}$

B.

$\frac{2}{3}$

C.

1 $\frac{1}{2}$

D.

3

View answer & explanation

Correct answer is B

27^x = 9^y

3^3x = 3^2y

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

View answer & explanation

Correct answer is D

let the number of question = n

n(n + 50) = 600

n² + 50n - 600 - 0 by quadratic formular

x = $\frac{b \pm \sqrt{b^2 - 4ac}}{2}$

n = $\frac{-50 \pm \sqrt{50^2 - 4(1) (-600)}}{2(1)}$

= $\frac{-50 \pm \sqrt{4900}}{2}$

= $\frac{-50 + 70}{2}$

= $\frac{20}{2}$

= 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

View answer & explanation

Correct answer is A

volume of rectangular container = L x B x H

1 litre = 1000cm3

96 litres = $\frac{1000cm^3}{1 litres}$ x 96 litres

volume = 96000cm3

96000 = 220 x 40

96--- = 8800H

H = $\frac{96000}{8800}$

= 10.97cm

= 11cm

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