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.

407.

Three consecutive terms of a geometric progression are give as n - 2, n and n + 3. Find the common ratio 

A.

\(\frac{3}{2}\)

B.

\(\frac{2}{3}\)

C.

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

D.

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

Correct answer is A

\(\frac{h}{n - 2} = \frac{n + 3}{n}\)

n\(^2\) = (n + 3) (n - 2) 

n\(^2\) = n\(^2\) + n - 6

n\(^2\) + n - 6 - n\(^2\) = 0

n - 6 = 0

n = 6

Common ratio: \(\frac{n}{n - 2} = \frac{6}{6 - 2} = \frac{6}{4}\) = \(\frac{3}{2}\) 

408.

The acres for rice, pineapple, cassava, cocoa and palm oil in a certain district are given respectively as 2, 5, 3, 11 and 9. What is the angle of the sector of cassava in a pie chart? 

A.

180\(^o\)

B.

36\(^o\)

C.

60\(^o\)

D.

108\(^o\)

Correct answer is B

Total number of acres = 2 + 5 + 3 + 11 + 9 = 30

The angle of acres = 2 + 5 + 3 + 11 + 9 = 30

The angle of the sector for cassava in a pie chart = \(\frac{3}{30} \times 360^o = 36^o\) 

409.

A cylindrical tank has a capacity of 3080m\(^3\). What is the depth of the tank if the diameter of its base is 14m?

A.

25m

B.

23m

C.

22m

D.

20m

Correct answer is D

V = 2080cm\(^3\), h = ? 

r = 7cm

V = V\(\pi r^2h\)

h = \(\frac{V}{\pi r^2} = \frac{3080}{\frac{22}{7} \times 49}\) 

\(\frac{3080}{54}\) = 20cm