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.

3,181.

One side of a rectangle is 8cm and the diagonal is 10cm. What is the area of the rectangle?

A.

80cm2

B.

48cm2

C.

40cm2

D.

36cm2

E.

24cm2

Correct answer is B

No explanation has been provided for this answer.

3,182.

Find, correct to 1 decimal place, the volume of cylinder of height 8cm and base radius 3cm. [Take π = 3.142]

A.

503.0cm3

B.

300.0cm3

C.

250.0cm3

D.

226.2cm3

E.

150.9cm3

Correct answer is D

Volume =\(\pi\)r2h = 3.142 x 3 x 3 x 8

=72 x 3.142 = 226.2cm3

3,183.

If the hypotenuse of a right-angle isosceles triangle is 2, what is the length of each of the other side?

A.

1/√2

B.

√2 - 1

C.

1

D.

√2

E.

√3

Correct answer is D

An Isosceles Right Triangle is a right triangle that consists of two equal length legs.

i.e opp = adj

hyp\(^2\) = adj\(^2\) + opp\(^2\)

2\(^2\) = x\(^2\) + x\(^2\)

4 = 2x\(^2\)

2 = x\(^2\)

 √2 = x

3,184.

In the diagram above, O is the center of the circle of radius 3.5cm, ∠POQ = 60°. What is the area of the minor sector POQ?

[Take π = 22/7].

A.

1481/2cm2

B.

77cm2

C.

321/12cm2

D.

65/12cm2

E.

15/6cm2

Correct answer is D

Area of sector = \(\frac{\theta}{360°} \times \pi r^2\)

= \(\frac{60}{360} \times \frac{22}{7} \times 3.5 \times 3.5\)

= \(\frac{77}{12}\)

= \(6\frac{5}{12}\) cm\(^2\)