(a) Without using Mathematical tables or calculators, simplify : \(\frac{2\tan 60° + \cos 30°}{\sin 60°}\) (b) From an aeroplane in the air and at a horizon...

(a) The ratio of the interior angle to the exterior angle of a regular polygon is 5 : 2, Find the number of sides of the polygon. (b) The diagram shows a cir...

(a) Without using Mathematical tables or calculators, simplify: \(3\frac{4}{9} \div (5\frac{1}{3} - 2\frac{3}{4}) + 5\frac{9}{10}\) (b) A number is selected ...

A trapezium PQRS is such that PQ // RS and the perpendicular P to RS is 40 cm. If |PQ| = 20 cm, |SP| = 50 cm and |SR| = 60 cm. Calculate, correct to 2 signif...

(a) Using ruler and a pair of compasses only, construct a : (i) Trapezium WXYZ such that |WX| = 8 cm, |XY| = 5.5 cm, |YZ| = 8.3 cm, < WXY = 60° and WX // ZY;...

(a) (i) Illustrate the following statements in a Venn diagram : All good Literature students in a school are in the General Arts class. (ii) Use ths diagram ...

The table is for the relation \(y = px^{2} - 5x + q\). x -3 -2 -1 0 1 2 3 4 5 y 21 6 -12 0 13 (a)(i) Use the table to find the values of p and q. (ii) Copy a...

(a) By how much is the sum of \(3\frac{2}{3}\) and \(2\frac{1}{5}\) less than 7? (b) The height, h m, of a dock above sea level is given by \(h = 6 + 4\cos (...

(a) Solve the inequality : \(4 + \frac{3}{4}(x + 2) \leq \frac{3}{8}x + 1\) (b) The diagram shows a rectangle PQRS from which a square of side x cm has been ...