(a) Simplify : \(\frac{1}{3^{5n}} \times 9^{n - 1} \times 27^{n + 1}\) (b) The sum of the ages of a woman and her daughter is 46 years. In 4 years' time, th...

(a) In the diagram, MN || ST, NP || QT and < STQ = 70°. Find x. (b) In the diagram above, AC is a straight line, |BC| = |BD|, \(\stackrel\frown{BCD} = 50°\) ...

(a) In a market survey, 100 traders sell fruits, 40 sell apples, 46 oranges, 50 mangoes, 14 apples and oranges, 15 apples and mangoes and 10 sell the three t...

The diagram above shows the bar charts representing the number of vehicles manufactured by a company in January, February and March, 1992. (a) How many vehic...

The number of child births recorded in 50 maternity centres of a local government in August 1993 are as follows : 50 99 81 86 69 85 93 63 92 65 77 74 76 71 9...

The sides of a rectangular floor are xm and (x + 7)m. The diagonal is (x + 8)m. Calculate, in metres : (a) the value of x ; (b) the area of the floor.

(a) Draw the table of values for the relation \(y = x^{2}\) for the interval \(-3 \leq x \leq 4\). (b) Using a scale of 2 cm to 1 unit on the x- axis and 2 c...

(a) The probabilities that three boys pass an examination are \(\frac{2}{3}, \frac{5}{8}\) and \(\frac{3}{4}\) respectively. Find the probability that : (i) ...

Given that \(\log_{10} 2 = 0.3010\) and \(\log_{10} 3 = 0.4771\), calculate without using mathematical tables or calculator, the value of : (a) \(\log_{10} 5...