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.

2,276.

Simplify \(\frac{4\frac{3}{4} - 6\frac{1}{4}}{4\frac{1}{5} \text{ of } 1\frac{1}{4}}\)

A.

-7\(\frac{7}{8}\)

B.

\(\frac{-2}{7}\)

C.

\(\frac{-10}{21}\)

D.

\(\frac{10}{21}\)

Correct answer is B

\(\frac{4\frac{3}{4} - 6\frac{1}{4}}{4\frac{1}{5} \text{ of } 1\frac{1}{4}}\)

\(\frac{19}{4}\) - \(\frac{25}{4}\)............(A)

\(\frac{21}{5}\) x \(\frac{5}{4}\).............(B)

Now work out the value of A and the value of B and then find the value \(\frac{A}{B}\)

A = \(\frac{19}{4}\) - \(\frac{25}{4}\)

= \(\frac{-6}{4}\)

B = \(\frac{21}{5}\) x \(\frac{5}{4}\)

= \(\frac{105}{20}\)

= \(\frac{21}{4}\)

But then \(\frac{A}{B}\) = \(\frac{-6}{4}\) \(\div\) \(\frac{21}{4}\)

= \(\frac{-6}{4}\) x \(\frac{4}{21}\)

= \(\frac{-24}{84}\)

= \(\frac{-2}{7}\)

2,277.

A crate of soft drinks contains 10 bottles 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 Cocacola 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

Sprite = 6 bottles, Total = 24

P(cola-cola) = \(\frac{10}{24}\)

P(not coca-cola) = 1 - \(\frac{10}{24}\)

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

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

2,279.

Fifty boxes each of 50 bolts were inspected for the number which were defective. The following was the result
\(\begin{array}{c|c} \text{No. defective per box} & 4 & 5 & 6 & 7 & 8 & 9 \\ \hline \text{No. of boxes} & 2 & 7 & 17 & 10 & 8 & 6\end{array}\)

The mean and the median of the distribution are respectively

A.

6.7, 6

B.

7.6, 5

C.

5.7, 87

D.

34, 6

Correct answer is A

No of defective(x) No of boxes (f) \(fx\)
4 2 8
5 7 35
6 17 102
7 10 70
8 8 64
9 6 54
\(\sum\) 50 333

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

= \(\frac{333}{50} = 6.66 \approxeq 6.7\)

The median is the average of the 25th and 26th position = 6.

 

2,280.

3% of a family's income is spent on electricity, 59% on food, 20% on transport, 11% on education and 7% on extended family. The angles subtended at the centre of the pie chart under education and food are respectively

A.

76.8o and 25.2o

B.

10.8o and 224.6o

C.

112.4o and 72.0o

D.

39.6o and 212.4o

Correct answer is D

Education = 11% = \(\frac{11}{100} \times 360° = 39.6°\)

Food = 59% = \(\frac{59}{100} \times 360° = 212.4°\)