The table below shows how a man spends his income in a month. Items Amount Spent Food N4500 House Rent N3000 Provisions N2500 Electricity N2000 Transportati...

(a) A pentagon is such that one of its exterior sides is 60°. Two others are (90 - m)° each while the remaining angles are (30 + 2m)° each. Find the value of...

(a) Solve the inequality : \(\frac{2}{5}(x - 2) - \frac{1}{6}(x + 5) \leq 0\). (b) Given that P = \(\frac{x^{2} - y^{2}}{x^{2} + xy}\), (i) express P in its ...

(a) The triangle ABC has sides AB = 17m, BC = 12m and AC = 10m. Calculate the : (i) largest angle of the triangle ; (ii) area of the triangle. (b) From a poi...

(a) A rectangular field is l metres long and b metres wide. Its perimeter is 280 metres. If the length is two and a half times the breadth, find the values o...

(a) Without using calculator or tables, find the value of \(\log 3.6\) given that \(\log 2 = 0.3010, \log 3 = 0.4771\) and \(\log 5 = 0.6990\). (b) If all nu...

The ages, in years, of 50 teachers in a school are given below : 21 37 49 27 49 42 26 33 46 40 50 29 23 24 29 31 36 22 27 38 30 26 42 39 34 23 21 32 41 46 46...

(a) If \(2^{x + y} = 16\) and \(4^{x - y} = \frac{1}{32}\), find the value of x and y. (b) P, Q and R are related in such a way that \(P \propto \frac{Q^{2}}...

(a) Solve, correct to two decimal places, the equation \(4x^{2} = 11x + 21\). (b) A man invests £1500 for two years at compound interest. After one year, his...