WAEC Mathematics Past Questions & Answers - Page 319

1,591.

In the diagram above, |PQ| = |PR| = |RS| and ∠RPS = 32°. Find the value of ∠QPR

A.

72o

B.

64o

C.

52o

D.

32o

E.

26o

Correct answer is C

From the figure, < PSR = 32° (base angles of an isos. triangle)

\(\therefore\) < PRS = 180° - (32° + 32°) = 116° (sum of angles in a triangle)

< QRP = 180° - 116° = 64° (angle on a straight line)

< PQR = 64° (base angles of an isos. triangle)

< QPR = 180° - (64° + 64°) = 52°

1,592.

A cylindrical container closed at both ends, has a radius of 7cm and height 5cm [Take π = 22/7]. What is the volume of the container?

A.

35cm3

B.

154cm3

C.

220cm3

D.

528cm3

E.

770cm3

Correct answer is E

Volume = \(\pi r^2 h\)

= \(\frac{22}{7} \times 7^2 \times 5\)

= \(770 cm^3\)

1,593.

A cylindrical container closed at both ends, has a radius of 7cm and height 5cm [Take π = 22/7]
Find the total surface area of the container

A.

35cm2

B.

154cm2

C.

220cm2

D.

528cm2

E.

770cm2

Correct answer is D

TSA of a cylinder = \(2\pi r^2 + 2\pi rh\)

= \(2\pi r (r + h)\)

= \(2 \times \frac{22}{7} \times 7 (7 + 5)\)

= \(44 \times 12\)

= \(528 cm^2\)

1,595.

calculate the surface area of a sphere of radius 7cm [Take π = 22/7]

A.

86cm2

B.

154cm2

C.

616cm2

D.

1434cm2

E.

4312cm2

Correct answer is C

Surface area of a sphere = \(4\pi r^2\)

= \(4 \times \frac{22}{7} \times 7 \times 7\)

= \(616 cm^2\)