Further Mathematics Past Questions and Answers

A committee consists of 5 boys namely: Kofi, John, Ojo, Ozo and James and 3 girls namely: Rose, Ugo and Ama. In how many ways can a sub-committee consisting of 3 boys and 2 girls be chosen, if Ozo must be on the sub-committee?

A 35
B 30
C 18
D 12

Question 592:

Forces 50N and 80N act on a body as shown in the diagram. Find, correct to the nearest whole number, the horizontal component of the resultant force.

A 13N
B 43N
C 57N
D 95N

Question 593:

The sales of five salesgirls on a certain day are as follows; GH¢ 26.00, GH¢ 39.00, GH¢ 33.00, GH¢ 25.00 and GH¢ 37.00. Calculate the standard deviation if the mean sale is GH¢ 32.00.

A GHÂ¢ 5.65
B GH¢ 5.66
C GHÂ¢ 6.5
D GHÂ¢ 6.56

Question 594:

A circular ink blot on a piece of paper increases its area at the rate \(4mm^{2}/s\). Find the rate of the radius of the blot when the radius is 8mm. \([\pi = \frac{22}{7}]\).

A 0.20 mm/s
B 0.08 mm/s
C 0.25 mm/s
D 0.05 mm/s

Question 595:

Express \(\frac{x^{2} + x + 4}{(1 - x)(x^{2} + 1)}\) in partial fractions.

A \(\frac{x^{2}}{x^{2} + 1} + \frac{x + 4}{1 - x}\)
B \(\frac{3}{1 - x} + \frac{2x + 1}{x^{2} + 1}\)
C \(\frac{x^{2}}{1 - x} + \frac{x + 4}{x^{2} + 1}\)
D \(\frac{3}{1 - x} + \frac{2x + 2}{x^{2} + 1}\)