(a) A plane flies due East from A(lat. 53°N, long. 25°E) to a point B(lat. 53°N, long. 85°E) at an average speed of 400 km/h. The plane then flies South fro...

(a) Simplify : \(\frac{5}{8} of 2\frac{1}{2} - \frac{3}{4} \div \frac{3}{5}\). (b) A cone and a right pyramid have equal heights and volumes. If the area of ...

(a) In the diagram, A, B, C and D are points on the circumference of a circle. XY is a tangent at A. Find : (i) < CAX ; (ii) < ABY. (b) If (m + 1) and (m - 3...

(a) A regular polygon of n sides is such that each interior angle is 120° greater than the exterior angle. Find : (i) the value of n ; (ii) the sum of all th...

(a) Evaluate : \(2 \div (\frac{64}{125})^{-\frac{2}{3}}\) (b) The lines \(y = 3x + 5\) and \(y = - 4x - 1\) intersect at a point k. Find the coordinates of k.

(a) Without using mathematical table or calculator, evaluate : \(\sqrt{\frac{0.18 \times 12.5}{0.05 \times 0.2}}\). (b) Simplify : \(\frac{8 - 4\sqrt{18}}{\s...

(a) Evaluate without using the mathematical table or calculator, \(\log_{10} \sqrt{30} - \log_{10} \sqrt{6} + \log_{10} \sqrt{2}\). (b) \(U = {1, 2, 3, ..., ...

(a) Find the smallest integer that satisfies the inequality \(x + 8 < 4x - 15\). (b) A sales girl is paid a monthly salary of N2,500 in addition to a commiss...

(a) Two fair die are thrown once. Find the probabitlity of getting : (i) the same digit ; (ii) a total score greater than 5. (b) Given that \(x = \cos 30°\) ...