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.

2,991.
2,992.

In the diagram, PQRS is a circle center O. PQR is a diameter and ∠PRQ = 40°. Calculate ∠QSR

A.

30o

B.

40o

C.

45o

D.

50o

Correct answer is D

< Q = < R (OQ = OR = radii)

< QOR = 180° - 2(40°) = 100°

< QSR = < RPQ = \(\frac{1}{2}\) < QOR

= \(\frac{100}{2} = 50°\)

2,994.

The probabilities that Kodjo and Adoga pass an examination are \(\frac{3}{4}\) and \(\frac{3}{5}\) respectively. Find the probability of both boys failing the examination

A.

\(\frac{1}{10}\)

B.

\(\frac{3}{10}\)

C.

\(\frac{9}{20}\)

D.

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

Correct answer is A

P(Kodjo passing) = \(\frac{3}{4}\); P(Adoga passing) = \(\frac{3}{5}\)

P(Kodjo failing) = \(\frac{1}{4}\); P(Adoga failing) = \(\frac{2}{5}\)

P(both fail) = \(\frac{1}{4} \times \frac{2}{5}\)

= \(\frac{1}{10}\)

2,995.

Calculate the standard deviation of the following marks; 2, 3, 6, 2, 5, 0, 4, 2

A.

1.5

B.

1.7

C.

1.8

D.

1.9

Correct answer is C

x 2 3 6 2 5 0 4 2 24
x - \(\bar{x}\) -1 0 3 -1 2 -3 1 -1  
\((x - \bar{x})^2\) 1 0 9 1 4 9 1 1 26

Mean = \(\frac{24}{8} = 3\)

Standard deviation = \(\sqrt{\frac{26}{8}}\)

= \(\sqrt{3.25}\)

= 1.802 \(\approeq\) 1.8