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.

736.

A cylindrical tank has a capacity of 3080m3. What is the depth of the tank if the diameter of its base is 14m? Take pi = 22/7.

A.

23m

B.

25m

C.

20m

D.

22m

Correct answer is C

Capacity = Volume = 3080m3

base diameter = 14m

radius = \(\frac{\text{diameter}}{2}\)

= 7m

Volume of Cylidner = Capacity of cylinder

πr2h = 3080

\(\frac{22}{7}\) × 7 × 7 × h = 3080

h = \(\frac{3080}{22 \times 7}\)

h = 20m

737.

In a regular polygon, each interior angle doubles its corresponding exterior angle. Find the number of sides of the polygon

A.

8

B.

6

C.

4

D.

3

Correct answer is B

2x + x = 180o

3x = 180o

x = 60o (exterior angle of the polygon)

angle = \(\frac{\text{total angle}}{\text{number of sides}}\)

60 = \(\frac{360}{n}\)

n = \(\frac{360}{60}\)

n = 6 sides

738.

The value of x + x ( xx) when x = 2 is

A.

16

B.

10

C.

18

D.

24

Correct answer is B

when x=2, we have

\(2 + 2(2^{2})\) = \(2 + 8 = 10\)

739.

The base in which the operation was performed was

A.

6

B.

2

C.

4

D.

5

Correct answer is B

No explanation has been provided for this answer.

740.

Find the sum to infinity of the series
\(\frac{1}{4}\), \(\frac{1}{8}\), \(\frac{1}{16}\),..........

A.

\(\frac{1}{2}\)

B.

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

C.

\(\frac{-1}{5}\)

D.

\(\frac{73}{12}\)

Correct answer is A

Sum to infinity

∑ = arn − 1

= \(\frac{a}{1}\) − r

a = \(\frac{1}{4}\)

r = \(\frac{1}{8}\) ÷ \(\frac{1}{4}\)

r = \(\frac{1}{s}\) × \(\frac{4}{1}\)

= \(\frac{1}{2}\)

S = \(\frac{1 \div 4}{1}\) − \(\frac{1}{2}\)

= \(\frac{1}{4}\) ÷ \(\frac{1}{2}\)

= \(\frac{1}{4}\) × \(\frac{2}{1}\)

= \(\frac{1}{2}\)