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.

2,016.

The ratio of the length of two similar rectangular blocks is 2 : 3. If the volume of the larger block is 351cm\(^3\), then the volume of the other block is?

A.

234.00 cm3

B.

526.50 cm3

C.

166.00 cm3

D.

687cm3

Correct answer is A

Let x represent total vol. 2 : 3 = 2 + 3 = 5

\(\frac{3}{5}\)x = 351

x = \(\frac{351 \times 5}{3}\)

= 585

Volume of smaller block = \(\frac{2}{5}\) x 585

= 234.00cm\(^3\)

2,017.

If two fair coins are tossed, what is the probability of getting at least one head?

A.

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

B.

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

C.

1

D.

\(\frac{43}{78}\)

E.

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

Correct answer is E

Prob. of getting at least one head

Prob. of getting one head + prob. of getting 2 heads

= \(\frac{1}{4}\) + \(\frac{2}{4}\)

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

2,018.

If the hypotenuse of right angled isosceles triangle is 2, what is the length of each of the other sides?

A.

\(\sqrt{2}\)

B.

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

C.

22

D.

1

E.

2 - 1

Correct answer is A

45o = \(\frac{x}{2}\), Since 45o = \(\frac{1}{\sqrt{2}}\)

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

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

= \(\sqrt{2}\)

2,019.

The number of goals scored by a football team in 20 matches is shown below
\(\begin{array}{c|c} \text{No. of goals} & 0 & 1 & 2 & 3 & 4 & 5 \\ \hline \text{No. of matches} & 3 & 5 & 7 & 3 & 1 & 0 \end{array}\)
What are the values of the mean and the mode respectively?

A.

(1.75, 5)

B.

(1.75, 2)

C.

(1.75, 1)

D.

(65, 74)

Correct answer is B

\(\begin{array}{c|c}x & f & fx\\ \hline 0 & 3 & 0\\ 1 & 5 & 5\\ 2 & 7 & 14\\ 3 & 4 & 12\\4 & 1 & 4\\5 & 0 & 0\end{array}\)
\(\sum{f}\) = 20

\(\sum fx\) = 35

Mean = \(\frac{\sum fx}{\sum f}\)

= \(\frac{35}{20}\)

= \(\frac{7}{4}\)

= 1.75

Mode = 2

= 1.75, 2