Waec Mathematics 2003 Past Questions and Answers

Question 41:

• WAEC 2003

Evaluate Cos 45^o Cos 30^o - Sin 45^o Sin 30^o leaving the answer in surd form

A. \(\frac{\sqrt{2}-1}{2}\)
B. \(\frac{\sqrt{3}-\sqrt{2}}{4}\)
C. \(\frac{\sqrt{6}-\sqrt{2}}{2}\)
D. \(\frac{\sqrt{6}-\sqrt{2}}{4}\)

Question 42:

• WAEC 2003

In constructing an angle, Olu draws line OX. With centre O and a convenient radius, he draws an arc intersecting OX at P. With centre P and the same radius, he draws an arc intersecting the first arc at Q and finally joins OQ. What is the size of angle POQ so constructed?

A. 90^o
B. 75^o
C. 60^o
D. 45^o

Question 43:

• WAEC 2003

In the diagram /PS/ = 9 cm, /OR/ = 5cm, \(P\hat{S}R = 63^o\) and \(S\hat{P}Q = P\hat{Q}R = 90^o\). Find, correct to the nearest whole number, the area of the trapezium,

A. 55cm²
B. 25cm²
C. 22cm²
D. 13cm²

Question 44:

• WAEC 2003

A right circular cone is such that its radius r is twice its height h. Find its volume in terms of h

A. \(\frac{2}{3}\pi h^2\)
B. \(\frac{1}{12}\pi h^3\)
C. \(\frac{4}{3}\pi h^2\)
D. \(\frac{4}{3}\pi h^3\)

Question 45:

• WAEC 2003

A man made a loss of 15% by selling an article for N595. Find the cost price of the article

A. N600.00
B. N684.25
C. N700.00
D. N892.50