Waec Mathematics Past Questions and Answers

Question 786:

• WAEC 2001

(a) A boy blew his rubber balloon to a spherical shape. The balloon burst when its diameter was 15 cm. Calculate, correct to the nearest whole number, the volume of air in the balloon at the point of bursting. [Take \(\pi = \frac{22}{7}\)]
(b) A point X is on latitude 28°N and longitude 105°W. Y is another point on the same latitude as X but on longitude 35°E. (i) Calculate, correct to three significant figures, the distance between X and Y along latitude 28°N ; (ii) How far is X from the equator? [Take \(\pi = \frac{22}{7}\) and radius of the earth = 6,400km].

Question 787:

• WAEC 2002

In the diagram O is the center of the circle. Reflex angle XOY = 210° and the length of the minor arc is 5.5m. Find, correct to the nearest meter, the length of the major arc.

A. 8m
B. 9m
C. 10m
D. 13m

Question 788:

• WAEC 2002

In the diagram O is the center of the circle. Reflex angle XOY = 210° and the length of the minor arc is 5.5m. Find, correct to the nearest meter, the length of the major arc.

A. 8m
B. 9m
C. 10m
D. 13m

Question 789:

• WAEC 2002

A right pyramid is on a square base of side 4cm. The slanting side of the pyramid is \(2\sqrt{3}\) cm. Calculate the volume of the pyramid

A. \(5\frac{1}{3}cm^3\)
B. \(10\frac{2}{3}cm^3\)
C. \(16cm^3\)
D. \(32cm^3\)

Question 790:

• WAEC 2002

The height of a right circular cone is 4cm. The radius of its base is 3cm. Find the curved surface area

A. \(9\pi cm^2\)
B. \(15\pi cm^2\)
C. \(16\pi cm^2\)
D. \(20\pi cm^2\)