Mathematics questions and answers

Mathematics Questions and Answers

How good are you with figures and formulas? Find out with these Mathematics past questions and answers. This Test is useful for both job aptitude test candidates and students preparing for JAMB, WAEC, NECO or Post UTME.

3,456.

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 = \(\pi r^2 h\)

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

= \(770 cm^3\)

3,457.

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 = \(2\pi r^2 + 2\pi rh\)

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

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

= \(44 \times 12\)

= \(528 cm^2\)

3,459.

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 = \(4\pi r^2\)

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

= \(616 cm^2\)

3,460.

A sector of a circle of radius 7cm has an area of 44cm2. Calculate the angle of the sector correct to the nearest degree [Take π = 22/7]

A.

6o

B.

26o

C.

52o

D.

103o

E.

206o

Correct answer is D

πr2 = 360o

44cm2 = θ; ∴ θ =
44/πr2
x 360o = 102.9o = 103o