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.

316.

A box contains 12 identical balls of which 5 are red, 4 blue, and the rest are green.  If a ball is selected at random from the box, what is the probability that it is green? 

A.

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

B.

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

C.

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

D.

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

Correct answer is D

No. of red = 5

No. of blue = 4

No. of green = 3

Total = 12

Pr(Green) = \(\frac{3}{12} = \frac{1}{4}\)

317.

Find the sum of the interior angle of a pentagon.

A.

340\(^o\)

B.

350\(^o\)

C.

540\(^o\)

D.

550\(^o\)

Correct answer is C

Sum = (5 - ) 180\(^o\) 

= (5 - 2) 180\(^o\)  = 3 x 180\(^o\)  

= 540\(^o\)

318.

The mean of the numbers 15, 21, 17, 26, 18, and 29 is 21. Calculate the standard deviation 

A.

9

B.

6

C.

5

D.

0

Correct answer is C

x

x - \(\overline{x}\))\(^2\) (x - \(\overline{x}\))\(^2\)

15

21

17

26

18

29

-6

0

-4

5

-3

-8

36

0

16

25

9

64

    \(\sum (x - \overline{x})^2\) = 150

 

Standard deviation = \(\sqrt{\frac{ \sum (x - \overline{x})^2}{n} }\)

= \(\frac{150}{6}\)

= \(\sqrt{25}\)

= 5

319.

The pie chart shows the population of men, women, and children in a city. If the population of the city is 1,800,000, how many men are in the city?

A.

845,000

B.

600,000

C.

355,000

D.

250,000

Correct answer is C

Angle of Men = 360\(^o\) - (120 + 169) 

= 360\(^o\) - 289\(^o\) = 71\(^o\)

No. of men \(\frac{71}{360}\) x 1800,000

= 355,000

320.

In the diagram, PQR is a circle with center O. If OPQ = 48°, find the value of M.

A.

96\(^o\)

B.

90\(^o\)

C.

68\(^o\)

D.

42\(^o\)

Correct answer is A

< O\(Q\)P = 48\(^o\) (base angles of isoceles \(\triangle\))

m = 48\(^o\) + 48\(^o\) = 96\(^o\) (exterior angle of a \(\triangle\))