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.

1,806.

The following table relates the number of objects f corresponding to a certain size x. What is the average size of an object?
\(\begin{array}{c|c} f & 1 & 2 & 3 & 4 & 5 \\ \hline x & 1 & 2 & 4 & 8 & 16\end{array}\)

A.

\(\frac{31}{15}\)

B.

\(\frac{31}{5}\)

C.

\(\frac{129}{5}\)

D.

\(\frac{43}{5}\)

E.

\(\frac{16}{5}\)

Correct answer is D

F = 1, 2, 3, 4, 5

x = 1, 2, 4, 8, 16

fx = 1, 4, 12, 32, 80, 3f = 15

(average size) = \(\frac{\sum fx}{\sum f}\)

= \(\frac{129}{15}\)

= \(\frac{43}{5}\)

1,807.

The size of a quantity first doubles and then increases by a further 16%. After a short time its size decreases by 16%. What is the net increases in size of the quantity?

A.

\(\frac{59300}{625}\)

B.

\(\frac{50900}{625}\)

C.

200%

D.

+100%

Correct answer is C

Let x rept. the size of the quantity

2x + \(\frac{116}{100}\) x \(\frac{-84}{100}\)

= 200%

1,808.

What is log7(49a) - log10(0.01)?

A.

\(\frac{49^a}{100}\)

B.

\(\frac{a}{2}\) + 2

C.

72a + 2

D.

2a + 2

E.

\(\frac{2a}{2}\)

Correct answer is D

log7(49a) - log10(0.01) = log7(72)a - log10100

log772a - log101 - log10 102

= 2a - 2

= 2a + a

1,809.

What is the greatest straight line distance between two vertices (corners) of a cube whose sides are 2239cm long?

A.

\(\sqrt{2239cm}\)

B.

\(\sqrt{2}\) x 2239cm

C.

\(\frac{\sqrt{3}}{2}\) 2239cm

D.

\(\sqrt{3}\) x 2239cm

E.

4478cm

Correct answer is D

x = \(\sqrt{-2239^2 + 2239^2}\)

= -\(\sqrt{10026242}\)

= 3166.42

y = -\(\sqrt{10026242 + 5013121}\)

= -\(\sqrt{15039363}\)

= 3878

= \(\sqrt{3}\) x 2239

1,810.

An arc of circle of radius 2cm subtends an angle of 60º at the centre. Find the area of the sector

A.

\(\frac{2 \pi}{3}\)cm2

B.

\(\frac{\pi}{2}\)cm2

C.

\(\frac{\pi}{3}\)cm2

D.

\(\pi\)cm2

Correct answer is A

Area of a sector \(\frac{\theta}{360}\) x \(\pi\)r\(^2\)

= \(\frac{60^o}{360^o}\) x \(\pi\)2\(^2\)

= \(\frac{2 \pi}{3}\)cm2