(a) If a number is chosen at random from the integers 5 to 25 inclusive, find the probability that the number is a multiple of 5 or 3. (b) A bag contains 10...

The weights to the nearest kilogram, of a group of 50 students in a College of Technology are given below: 65, 70, 60, 46, 51, 55, 59, 63, 68, 53, 47, 53, 72...

(a) Find the volume of a right solid cone of base radius 4cm and perpendicular height 6cm. [\(\pi = 3.142\)] (b) A hemispherical tank of diameter which is 10...

The feet of two vertical poles of height 3m and 7m are in line with a point P on the ground, the smaller pole being between the taller pole and P and at a di...

A carpenter was told to make a rectangular desk with top of dimension 50cm by 40cm. The carpenter actually made the desk 60cm by 35cm. (a) Calculate the perc...

(a) Prove that the sum of the angles in a triangle is 2 right angles. (b) The side AB of a triangle ABC is produced to a point D. The bisector of ACB cuts AB...

(a) Simplify \(\frac{0.016 \times 0.084}{0.48}\) [Leave your answer in standard form]. (b) Eight wooden poles are to be used for pillars and the lengths of t...

(a) ABCD is a trapezium in which AB // DC, |AB| = 8cm, < ABC = 60°, |BC| = 5.5cm and |BD| = 8.3cm. Using a ruler and a pair of compasses only, construct: (i)...

Show on a graph, the area which gives the solution set of the inequalities: \(y - 2x \leq 4 ; 3y + x \geq 6 ; y \geq 7x - 9\).