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.

311.

Which of the following is not a sufficient condition for two triangles to be congruent?

A.

AAS

B.

SSS

C.

SAS

D.

SSA

Correct answer is D

No explanation has been provided for this answer.

312.

In the diagram, O is the center of the circle. \(\overline{PQ}\) and \(\overline{RS}\)  are tangents to the circle. Find the value of (M + N).

A.

120\(^o\)

B.

90\(^o\)

C.

75\(^o\)

D.

60\(^o\)

Correct answer is B

m + n + 90\(^o\) + 180\(^o\) (sum of angle in a \(\triangle\))

m + n = 180\(^o\) - 90\(^o\)

m + n =90\(^o\)

313.

x 6.20 6.85 7.50
y 3.90 5.20 6.50

The points on a linear graph are as shown in the table. Find the gradient (slope) of the line. 

A.

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

B.

2

C.

1

D.

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

Correct answer is B

Gradient = \(\frac{y_2 - y_ 1}{x_2 - x_1}\)

= \(\frac{5.20 - 3.90}{6.85 - 6.20}\)

= \(\frac{1.3}{0.5}\) 

= 2

314.

In the diagram, PQ is a straight line. If m = \(\frac{1}{2}\) (x + y + z), find value of m.

A.

45\(^o\)

B.

60\(^o\)

C.

90\(^o\)

D.

100\(^o\)

Correct answer is B

x + y + m + 2 = 180\(^o\)

\(\frac{x + y + 2}{2} + \frac{m}{2}\) = 90\(^o\)

m + \(\frac{m}{2} = 90^o\)

3m = 2 x 90\(^o\)

\(\frac{3m}{3} = \frac{180^o}{3}\)

m = 60\(^o\)

315.

A box contains 12 identical balls of which 5 are red, 4 blue, and the rest are green. If two balls are selected at random one after the other with replacement, what is the probability that both are red? 

A.

\(\frac{25}{144}\)

B.

\(\frac{5}{33}\)

C.

\(\frac{5}{6}\)

D.

\(\frac{103}{132}\)

Correct answer is A

Pr(RR) = \(\frac{5}{12}\) = \(\frac{5}{12} \times \frac{5}{12} = \frac{25}{144}\)