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.

2,676.

Evaluate \(\frac{21}{9}\) to 3 significant figures

A.

2.30

B.

2.31

C.

2.32

D.

2.33

Correct answer is D

\(\frac{21}{9} = \frac{7}{3}\)

= 2.33 (to 3 sig. figs)

2,677.

Simply \(\frac{2\frac{2}{3} \times 1\frac{1}{2}}{4\frac{4}{5}}\)

A.

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

B.

\(1\frac{1}{6}\)

C.

\(\frac{5}{6}\)

D.

\(\frac{4}{5}\)

Correct answer is C

\(\frac{2\frac{2}{3} \times 1\frac{1}{2}}{4\frac{4}{5}}\)

\(\frac{8}{3} \times \frac{3}{2} \div \frac{24}{5}\)

\(\frac{8}{3} \times \frac{3}{2} \times \frac{5}{24}\)

\(\frac{5}{6}\)

2,678.

Convert 112\(_6\) to a number in base three

A.

2211

B.

2121

C.

1212

D.

1122

Correct answer is D

First, convert to base 10

112\(_6\) = (1 x 6\(^2\)) + (1 x 6\(^1\)) + (2 x 6\(^0\))

= 36 + 6 + 2

= 44\(_{10}\)

\(\begin{array}{c|c} 3 & 44 \\ \hline 3 & 14 & r 2 \\ \hline 3 & 4 & r 2 \\ \hline 3 & 1 & r 1 \\ \hline 3 & 0 & r 1 \end{array}\)

Ans = 1122 = D

2,679.

A basket contains 9 apples, 8 bananas and 7 oranges. A fruit is picked from the basket, find the probability that it is neither an apple nor an orange.

A.

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

B.

\(\frac{1}{3}\)

C.

\(\frac{7}{24}\)

D.

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

Correct answer is B

n(apples) = 9
n(bananas) = 8
n(oranges) = 7

n(\(\varepsilon\)) = 24

Hence Prob(not apple, nor orange) = Prob(banana) = \(\frac{8}{24}\) = \(\frac{1}{3}\)

2,680.

What is the probability that an integer x \((1 \leq x \leq 25)\) chosen at random is divisible by both 2 and 3?

A.

\(\frac{1}{25}\)

B.

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

C.

\(\frac{4}{25}\)

D.

\(\frac{3}{4}\)

Correct answer is C

\((1 \leq x \leq 25)\) = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25}

Number N of x divisible by both 2 and 3 is 4.

n(\(\varepsilon\)) = 25

= \(\frac{N}{n(\varepsilon)}\)

= \(\frac{4}{25}\)