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.

2,051.

If U and V are two distinct fixed points and W is a variable points such that UWV is a right angle, what is the locus of W?

A.

The perpendicular bisector of UV

B.

A circle with UV as radius

C.

A line parallel to the line UV

D.

A circle with the line UV as the diameter

Correct answer is D

No explanation has been provided for this answer.

2,052.

Find the total surface area of solid cone of radius 2\(\sqrt{3}\)cm and slanting side 4\(\sqrt{3}\)

A.

8\(\sqrt{3}\pi \)cm2

B.

24\(\pi \)cm2

C.

15\(\sqrt{3}\pi \)cm2

D.

36\(\pi \)cm2

Correct answer is D

Total surface area of a solid cone

r = 2\(\sqrt{3}\)

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

H = 4\(\sqrt{3}\), \(\pi\)r(r + H)

∴ Area = \(\pi\)2\(\sqrt{3}\) [2\(\sqrt{3}\) + 4\(\sqrt{3}\)]

= \(\pi\)2\(\sqrt{3}\)(6\(\sqrt{3}\))

= 12\(\pi\) x 3

= 36\(\pi \)cm2

2,053.

An arc of a circle of radius 6cm is 8cm long. Find the area of the sector

A.

5\(\frac{1}{3}\)cm2

B.

24cm2

C.

36cm2

D.

84cm2

Correct answer is B

Radius of the circle r = 6cm, Length of the arc = 8cm

Area of sector = \(\frac{\theta}{360}\) x \(\pi\)r2........(i)

Length of arc = \(\frac{\theta}{360}\) x 2\(\pi\)r........(ii)

from eqn. (ii) \(\theta\) = \(\frac{240}{\pi}\), subt. for \(\theta\) in eqn (i)

Area x \(\frac{240}{1}\) x \(\frac{1}{360}\) x \(\frac{\pi 6}{1}\)

= 24cm\(^2\)

2,055.

A regular polygon of n sides has 160o as the size of each interior angle. Find n

A.

18

B.

16

C.

14

D.

12

Correct answer is A

No explanation has been provided for this answer.