1999 - WAEC Mathematics Past Questions and Answers - page 3

From the diagram above. ABC is a triangle inscribed in a circle center O. ∠ACB = 40^o and |AB| = x cm. calculate the radius of the circle.

The diagram shows the position of three ships A, B and C at sea. B is due north of C such that |AB| = |BC| and the bearing of B from A = 040°. What is the bearing of A from C

A pole of length L leans against a vertical wall so that it makes an angle of 60^o with the horizontal ground. If the top of the pole is 8m above the ground, calculate L.

In the diagram, PQST and QRST are parallelograms. Calculate the area of the trapezium PRST.

The height of a pyramid on square base is 15cm. If the volume is 80cm${}^3$, find the length of the side of the base

Simplify 3.72 x 0.025 and express your answer in the standard form

Two numbers 24${}_x$ and 31${}_y$ are equal in value when converted to base ten. Find the equation connecting x and y

A car travel at x km per hour for 1 hour and at y km per hour for 2 hours. Find its average speed

The height and base of a triangle are in ratio 1:3 respectively. If the area of the triangle is 216 cm${}^2$, find the length of the base.

Water flows from a tap into cylindrical container at the rate 5πcm${}^3$ per second. If the radius of the container is 3cm, calculate the level of water in the container at the end of 9 seconds.