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.

3,266.

Two solid spheres have volumes 250cmo and 128cmo respectively. Find the ratio of their radii.

A.

125:64

B.

25:16

C.

2:1

D.

4:3

E.

5:4

Correct answer is E

4/3πR3/4/3πr3
=
250/180
= (R/r)3 = 5:4

3,268.

A circle has radius x cm. What is the area of a sector of the circle with angle 135°, leaving the answer in terms of x and π?

A.

\( \frac{\pi x^2}{8} \)

B.

\( \frac{3\pi x^2}{8} \)

C.

\( \frac{5\pi x^2}{8} \)

D.

\( \frac{3\pi x}{8} \)

Correct answer is B

A = θ 360 x πr2 = 135 360 x π x x2 = (3πx2)/8

3,269.

Calculate, correct to 2 significant figures, the length of the arc of a circle of radius 3.5cm which subtends an angle of 75° at the centre of the circle. [Take π = 22/7].

A.

2.3cm

B.

4.6cm

C.

8cm

D.

16cm

E.

16cm

Correct answer is B

Length of arc = \(\frac{\theta}{360} \times 2\pi r\)

= \(\frac{75}{360} \times 2 \times \frac{22}{7} \times 3.5\)

= \(4.583 cm\)

\(\approxeq\) 4.6 cm (to 2 sig. figs)

3,270.