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.

351.

Find the equation of a straight line passing through the point (1, -5) and having gradient of \(\frac{3}{4}\) 

A.

3x + 4y - 23 = 0

B.

3x + 4y +23 = 0

C.

3x - 4y +23 = 0

D.

3x - 4y - 23 = 0

Correct answer is D

\(\frac{3}{4} = \frac{y + 5}{x - 1}\)

3(x - 1) = 4(y + 5)

3x - 3 = 4y + 20

3x - 4y - 23 = 0

352.

A box contains 2 white and 3 blue identical balls. If two balls are picked at random from the box, one after the other with replacement, what is the probability that they are of different colours?

A.

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

B.

\(\frac{3}{5}\)

C.

\(\frac{7}{20}\)

D.

\(\frac{12}{25}\)

Correct answer is C

(\(\frac{2}{5} \times \frac {3}{5}) + (\frac{3}{5} \times \frac{2}{5})\)

\(\frac{6}{25} + \frac{6}{25} = \frac{12}{25}\) 

353.

The interior angles of a polygon are 3x\(^o\), 2x\(^o\), 4x\(^o\), 3x\(^o\) and 6x\(^o\). Find the size of the smallest angle of the polygon.

A.

80\(^o\)

B.

60\(^o\)

C.

40\(^o\)

D.

30\(^o\)

Correct answer is B

3\(x^o\) + 2\(x^o\) + 4\(x^o\) + 3\(x^o\) + 6\(x^o\) = 540\(^o\)

\(\frac{18x^o}{18} = \frac{540^o}{18}\)

\(x^o\) = 30\(^o\)

Smallest angle = 2 x 30\(^o\) = 60\(^o\)

354.

Factorize completely; (2x + 2y)(x - y) + (2x - 2y)(x + y) 

A.

4(x - y)(x + y)

B.

(4(x - y)

C.

2(x - y)(x + y)

D.

2(x - y)

Correct answer is A

(2x + 2y)(x - y) + (2x - 2y)(x - y)

2(x + y)(x - y) + 2(x - y)(x + y) 

4(x - y)(x + y) 

355.

In the diagram, POS and ROT are straight lines. OPQR is a parallelogram, |OS| = |OT| and OST = 50°. Calculate the value of OPQ.

A.

100\(^o\)

B.

120\(^o\)

C.

140\(^o\)

D.

160\(^o\)

Correct answer is A

S\(O\)T = 180\(^o\) - (50 + 50) 

= 80\(^o\) 

P\(Q\)R = 80\(^o\)

= \(\frac{360^o - 160^o}{2}\) = 100\(^o\)