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} ...

(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...

(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, the...

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) ...