Mathematics Past Questions and Answers

The expression x3 - 4x2 + cx + d is such that x + 1 is its factor, and its value is 1 when x is -2. Find c and d.

A C = 4 and d = -9
B C = -4 and d = 9
C C = -20 and d = -15
D C = 20 and d = -15
E C = -20 and d = 15

Question 37:

If a function is defined by f(x + 1) = 3x2 - x + 4, Find f(0).

Question 38:

A cylindrical motor of height 12cm has uniform thickness of 2cm. If the diameter of its outer cross section is 10cm, Find the volume of the constituent material. (take \(\pi\) = \(\frac{22}{7}\)

A \(\frac{6600}{7}\)cm³
B 270cm³
C 660cm³
D \(\frac{4224}{7}\)cm³
E \(\frac{1980}{7}\)cm³

Question 39:

If x varies inversely as y, and y varies directly as the square root of z, and z varies directly \(\frac{1}{w^2}\) write down in words how x varies with w

A X varies inversely as w²
B X varies directly as w²
C X varies directly as w
D X varies inversely as w
E X varies directly as square root of w

Question 40:

Write the decimal number 39 to base 2

A 10011 base 2
B 110111 base 2
C 111001 base 2
D 100101 base 2
E 19.5 base 2