Further Mathematics 2012 Waec Past Questions and Answers

Question 1 :

• WAEC 2012

Which of the following sets is equivalent to \((P \cup Q) \cap (P \cup Q')\)?

A. P
B. \(P \cap Q\)
C. \(P \cup Q\)
D. \(\emptyset\)

Question 2 :

• WAEC 2012

Which of the following sets is equivalent to \((P \cup Q) \cap (P \cup Q')\)?

A. P
B. \(P \cap Q\)
C. \(P \cup Q\)
D. \(\emptyset\)

Question 3 :

• WAEC 2012

Simplify: \(\frac{\cos 2\theta - 1}{\sin 2\theta}\)

A. \(-\tan \theta\)
B. \(-\cos \theta\)
C. \(\tan \theta\)
D. \(\cos \theta\)

Question 4 :

• WAEC 2012

Solve the inequality \(x^{2} - 2x \geq 3\)

A. \(-1 \leq x \leq 3\)
B. \(x \geq 3\) and \(x \leq -1\)
C. \(x \geq 3\) or \(x < -1\)
D. \(-1 \leq x < 3\)

Question 5 :

• WAEC 2012

Given that \(\sqrt{6}, 3\sqrt{2}, 3\sqrt{6}, 9\sqrt{2},...\) are the first four terms of an exponential sequence (G.P), find in its simplest form the 8th term.

A. \(27\sqrt{2}\)
B. \(27\sqrt{6}\)
C. \(81\sqrt{2}\)
D. \(81\sqrt{6}\)