Mathematics Past Questions and Answers

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

Question 62:

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

Question 63:

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)

Question 64:

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 \(\sqrt{3}\)

Question 65:

Three sets of rice x, y and z are sold for N15.00, N35.00 and N60.00 respectively per kg. It they are mixed in the ratio of 1: 3 : 2, what is the cast per kg of the mixture?

A N45.00
B N42.50
C N40.00
D N35.50
E N25.80