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.

416.

If log\(_{10}\)2 = 0.3010 and log\(_{10}\)3 = 0.4771, eventually without using the logarithm tables, log\(_{10}\)4.5

A.

0.3010

B.

0.4771

C.

0.6532

D.

0.9542

Correct answer is C

log\(_{10}\)2 = 0.3010 and log\(_{10}\)3 = 04771

log\(_{10} 4.5 = log_{10}\) (\(\frac{3 \times 3}{2}\))

log\(_{10}\) 3 + log\(_{10}\) 3 - log\(_{10}\)2 = 0.4471 + 0.771 - 0.3010

= 0.6532

418.

The goals scored by 40 football teams from three league  divisions are recorded below

No of goals 0 1 2 3 4 5 6
Frequency 4 3 15 16 1 0 1

What is the total number of goals scored by all the teams?

A.

21

B.

40

C.

91

D.

96

Correct answer is C

Let x represent number of goals \(\begin{array}{c|c|} x & F & Frequency(fx)\\\hline 0 & 4 & 0 \\\hline 1 & 3 & 3\\\hline 2 & 15 & 30 \\\hline 3 & 16 & 48\\ \hline 4 & 1 & 4 \\\hline 5 & 0 & 0 \\\hline 6 & 1 & 6 \\\hline & \sum Fx = 91&  \end{array}\)

\(\sum fx\) = 91

 

419.

A room is 12m long, 9m wide and 8m high. Find the cosine of the angle which a diagonal of the room makes with the floor of the room 

A.

\(\frac{15}{17}\)

B.

\(\frac{8}{17}\)

C.

\(\frac{8}{15}\)

D.

\(\frac{12}{17}\)

Correct answer is A

ABCD is the floor. By pathagoras 

AC\(^2\) = 144 + 81 = \(\sqrt{225}\) 

AC = 15cm

Height of room 8m, diagonal of floor is 15m

Therefore, the cosine of the angle which a diagonal of the room makes with the floor is 

EC\(^2\) = 15\(^2\) + 8\(^2\) cosine

\(\frac{adj}{Hyp} = \frac{15}{17}\) 

EC\(^2\) = \(\sqrt{225 + 64}\)

EC = \(\sqrt{289}\)

= 17 

420.

What is the circumference of latitude 0\(^o\)S if R is the radius of the earth? 

A.

cos \(\theta\)

B.

2\(\pi\)R cos \(\theta\)

C.

R sin \(\theta\)

D.

2 \(\pi\) r sin \(\theta\)

Correct answer is B

Circumstances of latitude 0\(^o\)s where R is the radius of the earth 2\(\pi\)r cos \(\theta\)