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.

322.

The length of an arc of a circle of radius 3.5 cm is  1\(\frac{19}{36}\) cm. Calculate, correct to the nearest degree , the angle substended by the centre of the circle. [Take \(\pi = \frac{22}{7}\)] 

A.

55\(^o\)

B.

36\(^o\)

C.

25\(^o\)

D.

22\(^o\)

Correct answer is C

L = \(\frac{\theta}{360^o}\) = 2\(\pi\)

\(\frac{55}{36} = \frac{\theta}{360^o} \times 2 \times \frac{22}{7} \times 3.5\)

\(\theta = \frac{360 \times 55 \times 44 \times 0.5}{3 \times 44 \times 0.5}\)

= \(\theta = 25^o\)

323.

In the diagram, \(\overline{MN}\)//\(\overline{PQ}\), < MNP = 2x, and < NPQ = (3x - 50)°. Find the value of < NPQ 

A.

200\(^o\)

B.

100\(^o\)

C.

120\(^o\)

D.

90\(^o\)

Correct answer is B

 

2x = 3x - 50 alternate angle 

50\(^o\) = 3x - 2x 

50\(^o\) = x 

< NPQ = (3x - 50)\(^o\) 

= 3(500)\(^o\) - 50 

= 150 - 50 = 100\(^o\) 

324.

Each interior angle of a regular polygon is 168\(^o\). Find the number of sides of the polygon 

A.

30

B.

36

C.

24

D.

18

Correct answer is A

Exterior angle = 180\(^o\) - 168\(^o\)

Number of sides = \(\frac{360^o}{12}\)

= 30\(^o\)

325.

The dimension of a rectangular base of a right pyramid is 9 cm by 5cm. If the volume of the pyramid is 105 cm\(^3\), how high is the pyramid? 

A.

10cm

B.

6cm

C.

8cm

D.

7cm

Correct answer is D

Volume = \(\frac{1}{3}\) x 9 x 5 x h

105 = \(\frac{1}{3}\) x 9 x 5 x h

\(\frac{105}{15} = \frac{15h}{15}\)

h = 7cm