Mathematics Past Questions and Answers

Tunde and Shola can do a piece of work in 18 days. Tunde can do it alone in x days, whilst Shola takes 15 days longer to do it alone. Which of the following equations is satisfied by x?

A X2 - 5x - 10 = 0
B X2 - 20x + 360 = 0
C X2 - 21x - 270 = 0
D 3x2 - 65x + 362 = 0

Question 62:

The quadratic equation whose roots are 1 - \(\sqrt{13}\) and 1 + \(\sqrt{13}\) is

A X2 + (1 - \(\sqrt{13}\)x + 1 + \(\sqrt{13}\) = 0
B X2 - 2x - 12 = 0
C X2 - 2x + 12 = 0
D X2 + 12 + 2x2 = 0

Question 63:

Find a factor which is common to all three binomial expressions 4a2 - 9b2, 8a3 + 27b3, (4a + 6b)2

A 4a + 6b
B 4a - 6b
C 2a + 3b
D 2a - 3b
E None

Question 64:

If pq + 1 = q² and t = \(\frac{1}{p}\) - \(\frac{1}{pq}\) express t in terms of q

A \(\frac{1}{p - q}\)
B \(\frac{1}{q - 1}\)
C \(\frac{1}{q + 1}\)
D 1 + 0
E \(\frac{1}{1 - q}\)

Question 65:

Find the x co-ordinates of the points of intersection of the two equations in the graph

A 1, 1
B 0, 4
C 0,0
D 4, 0
E 4, 9