Mathematics Past Questions and Answers

Factorise: 6x\(^2\) + 7xy - 5y\(^2\)

Solve the equation log₈x - 4log₈x = 2

The angle subtended at the centre by a chord of a circle radius 6cm is 120°. Find the length of the chord.

A cuboid of base 12.5cm by 20cm holds exactly 1 litre of water. What is the height of the cuboid? (1 litre =1000cm3)

Two ships on the equator are on longitudes 45^oW and 45^oE respectively. How far are they apart along the equator, correct to 2 significant figures? (Take the radius of earth = 6400km and π = 22/7)