Further Mathematics 2011 Waec Past Questions and Answers

Question 1 :

• WAEC 2011

A binary operation * is defined on the set of real numbers R, by a* b = -1. Find the identity element under the operation *.

A. -1
C. 1
D. 2

Question 2 :

• WAEC 2011

A binary operation * is defined on the set of real numbers R, by a* b = -1. Find the identity element under the operation *.

A. -1
C. 1
D. 2

Question 3 :

• WAEC 2011

Express 75° in radians, leaving your answer in terms of \(\pi\).

A. \(\frac{5\pi}{12}\)
B. \(\frac{3\pi}{4}\)
C. \(\frac{5\pi}{6}\)
D. \(\frac{7\pi}{6}\)

Question 4 :

• WAEC 2011

If \(\log_{9} 3 + 2x = 1\), find x.

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

Question 5 :

• WAEC 2011

Evaluate \(\cos (\frac{\pi}{2} + \frac{\pi}{3})\)

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