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.

411.

A crate of soft drinks contains 10 bottle of Coca-Cola 8 of Fanta and 6 of Sprite. If one bottle is selected at random, what is the probability that it is Not a Coca-Cola bottle? 

A.

\(\frac{5}{12}\)

B.

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

C.

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

D.

\(\frac{7}{12}\)

Correct answer is D

Coca-Cola = 10 bottles, Fanta = 8 bottles, Spirite = 6 bottles 

Total = 24

P(Coca-Cola) = \(\frac{10}{24}\); P(not Coca-Cola) 

1 - \(\frac{10}{24}\) 

\(\frac{24 - 10}{24} = \frac{14}{24} = \frac{7}{12}\) 

412.

What is the product of \(\frac{27}{5}\), \((3)^{-3}\) and (\(\frac{1}{5})^{-1}\)?

A.

5

B.

3

C.

1

D.

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

Correct answer is C

\(\frac{27}{5} \times 3^{-3} \times \frac{(1)^{-1}}{5}\)

= \(\frac{27}{5} \times \frac{1}{3^3} \times \frac{1}{\frac{1}{5}}\)

\(\frac{27}{5}\) x \(\frac{1}{27}\) x \(\frac{5}{1}\) = 1

413.

The angle of a sector of a circle radius 10.5 cm is 48\(^o\). Calculate the perimeter of the sector.

A.

25.4cm

B.

25.4cm

C.

25.6cm

D.

29.8cm

Correct answer is D

The lenght of Arc AB = \(\frac{Q}{360}\) 2\(\pi\)r

= \(\frac{48}{360}\) x 2\(\frac{22}{7}\) x 10.5 = \(\frac{48}{360}\) x 2\(\frac{22}{7}\) x \(\frac{21}{2}\)

= \(\frac{4 \times 22 \times 3}{30} \times \frac{88}{10}\) = 8.8cm 

Perimeter = 8.8 + 2r = 8.8 + 2r 

= 8.8 + 2(10.5)

= 8.8 + 21

= 29.8cm

414.

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 

415.

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)