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 per...

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...

(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 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) 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: \(y - 2x \leq 4 ; 3y + x \geq 6 ; y \geq 7x - 9\).