Mathematics Past Questions and Answers

Factorize 6x2 - 14x - 12

A 2(x + 3)(3x - 2)
B 6(x - 2)(x + 1)
C 2(x - 3)(3x + 2)
D 6(x + 2)(x - 1)
E (3x - 4)(2x + 3)

Question 17:

A straight line y = mx meets the curve y = x2 - 12x + 40 in two distinct points. If one of them is (5, 5) find the other

A (5, 6)
B (8, 8)
C (8, 5)
D (7,7)
E (7, 5)

Question 18:

The table below is drawn for a graph y = x³ - 3x + 1
\(\begin{array}{c|c} x & -3 & -2 & -1 & 0 & 1 & 2 & 3 \\\hline y = x^3 - 3x + 1 & 1 & -1 & 3 & 1 & -1 & 3 & 1\end{array}\)
From x = -2 to x = 1, the graph crosses the x-axis in the range(s)

A -1 < x < 0 and 0 < x < 1
B -2 < x < -1 and 0 < x < 1
C -2 < x < -1 and -1 < x < 0
D 0 < x < 1

Question 19:

In a racing competition, Musa covered a distance 5x km in the first hour and (x + 10)km in the next hour. He was second to Nzozi who covered a total distance of 118km in the two hours. Which of the following inequalities is correct?

A -1 < x < x < 0
B -3 < x < 3
C 0 \(\leq\) x < 18
D 15 < x < 18

Question 20:

If 2x + 3y = 1 and x - 2y = 11, find (x + y)

A 5
B -3
C 8
D 2
E -2