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.

997.

If sin θ = \(\frac{\sqrt{3}}{2}\) and 0 < θ < 180°, what is cos θ ?

A.

\(\frac{1}{\sqrt{3}}\)

B.

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

C.

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

D.

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

E.

\(\sqrt{3}\)

Correct answer is C

No explanation has been provided for this answer.

998.

>What are the factors of 2x\(^2\) - xy - 3y\(^2\) ?

A.

(2x + 3y)(x + y)2

B.

(2x + 3y)(x + y)

C.

(2x + 3y)(x - y)

D.

(2x - 3y)(x + y)

E.

(2x - 3y)(x - y)

Correct answer is D

2x\(^2\) - xy - 3y\(^2\)

= 2x\(^2\) + 2xy - 3xy - 3y\(^2\)

= 2x(x + y) - 3y(x + y)

= (2x - 3y)(x + y)

999.

A quadratic equation with roots -1\(\frac{1}{2}\) and \(\frac{1}{4}\) is

A.

x2 + 3x + 4 = 0

B.

8x2 + 10x + 3 = 0

C.

8x2 +12x – 3 = 0

D.

8x2 + 10x-3.= 0

E.

8x2 + 12x + 3 = 0

Correct answer is D

No explanation has been provided for this answer.

1000.

One bag contains 4 white balls and 2 black balls. Another bag contains 3 white balls and 5 black balls, if one ball is drawn from each bag, what is the probability that both are white?

A.

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

B.

\(\frac{3}{8}\)

C.

\(\frac{7}{24}\)

D.

\(\frac{1}{4}\)

E.

\(\frac{1}{24}\)

Correct answer is D

No explanation has been provided for this answer.