Waec Mathematics 2009 Past Questions and Answers

Question 11:

• WAEC 2009

Factorize x² - 2x - 3xy completely

A. (x - 2)(3x - y)
B. (x - 3y)(x - 2)
C. (x - 3y)(x - 3y)
D. (3x + y)(x - 2)

Question 12:

• WAEC 2009

The diameter of a bicycle wheel is 42cm. If the wheel makes 16 complete revolution, what will be the total distance covered by the wheel? [Take \(\pi \frac{22}{7}\)

A. 672cm
B. 1056cm
C. 2112cm
D. 4224cm

Question 13:

• WAEC 2009

The interior angles of a pentagon are (2^x + 5)^o, (x + 20)^o, x^o, (3x - 20)^o and (x + 15)^o. Find the value of x

A. 80^o
B. 70^o
C. 65^o
D. 40^o

Question 14:

• WAEC 2009

If M and N are two fixed points in a plane. Find the locus L = [P : PM = PN]

A. A line equal to MN
B. Line parallel to MN
C. Perpendicular bisector of MN
D. A circle centre P, radius MN

Question 15:

• WAEC 2009

Given that sin 60^o = \(\frac{\sqrt{3}}{2}\) and cos 60^o = \(\frac{1}{2}\), evaluate \(\frac{1 - sin 60^o}{1 + cos 60^o}\)

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