Waec Mathematics Past Questions and Answers

Question 626:

• WAEC 1999

Simplify \(\frac{4}{x+1}-\frac{3}{x-1}\)

A. \(\frac{x+7}{x^2 - 1}\)
B. \(\frac{x-7}{x^2 + 1}\)
C. \(\frac{x-7}{x^2 - 1}\)
D. \(\frac{x-11}{x^2 - 1}\)

Question 627:

• WAEC 1999

If y varies inversely as x\(^2\), how does x vary with y?

A. X varies inversely as y²
B. X varies inversely as y
C. X varies directly as y²
D. X varies directly as y

Question 628:

• WAEC 1999

If \(tan x = \frac{1}{\sqrt{3}}\), find cos x - sin x such that \(0^o \leq x \leq 90^o\)

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

Question 629:

• WAEC 1999

From the top of a cliff 20m high, a boat can be sighted at sea 75m from the foot of the cliff. Calculate the angle of depression of the boat from the top of the cliff

A. 14.9 ^o
B. 15.5 ^o
C. 74.5 ^o
D. 75.1 ^o

Question 630:

• WAEC 1999

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.

A. \(\frac{x}{sin 40^o}\)
B. \(\frac{x}{cos 40^o}\)
C. \(\frac{x}{2 sin 40^o}\)
D. \(\frac{x}{2 cos 40^o}\)