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.

431.

In preparing rice cutlets, a cook used 75g of rice, 40g of margarine, 105g of meat and 20g of bread crumbs. Find the angle of the sector which represent meat in a pie chart? 

A.

30\(^o\)

B.

60\(^o\)

C.

112.5\(^o\)

D.

157.5\(^o\)

Correct answer is D

Rice = 75g, Margarine = 40g, Meat = 105g

Bread = 20g

Total = 240

Angle of sector represented by meat 

= \(\frac{105}{240} \times \frac{360^o}{1}\) 

= 157.5 

432.

Simplify \(\frac{324 - 4x^2}{2x + 18}\) 

A.

2(x - 9)

B.

2(9 + x)

C.

81 - x\(^2\)

D.

-2(x - 9)

Correct answer is D

234 - 4x\(^2\) = 18\(^2\) - (2x)\(^2\) = (18 - 2x)(18 + 2x)

2x + 18 = 2x + 18 = (2x + 18)

18 - 2x = 2(a - x) or -2(x - a) 

 

433.

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

435.

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