WAEC Past Questions and Answers - Page 2378

11,887.

In the diagram, \(\overline{MN}\)//\(\overline{PQ}\), < MNP = 2x, and < NPQ = (3x - 50)°. Find the value of < NPQ 

A.

200\(^o\)

B.

100\(^o\)

C.

120\(^o\)

D.

90\(^o\)

Correct answer is B

 

2x = 3x - 50 alternate angle 

50\(^o\) = 3x - 2x 

50\(^o\) = x 

< NPQ = (3x - 50)\(^o\) 

= 3(500)\(^o\) - 50 

= 150 - 50 = 100\(^o\) 

11,889.

Each interior angle of a regular polygon is 168\(^o\). Find the number of sides of the polygon 

A.

30

B.

36

C.

24

D.

18

Correct answer is A

Exterior angle = 180\(^o\) - 168\(^o\)

Number of sides = \(\frac{360^o}{12}\)

= 30\(^o\)

11,890.

The dimension of a rectangular base of a right pyramid is 9 cm by 5cm. If the volume of the pyramid is 105 cm\(^3\), how high is the pyramid? 

A.

10cm

B.

6cm

C.

8cm

D.

7cm

Correct answer is D

Volume = \(\frac{1}{3}\) x 9 x 5 x h

105 = \(\frac{1}{3}\) x 9 x 5 x h

\(\frac{105}{15} = \frac{15h}{15}\)

h = 7cm