Further Mathematics 2006 Waec Past Questions and Answers

Question 1 :

• WAEC 2006

\(P = {x : 1 \leq x \leq 6}\) and \(Q = {x : 2 < x < 9}\) where \(x \in R\), find \(P \cap Q\).

A. \({x : 2 \leq x \leq 6}\)
B. \({x : 2 \leq x < 6}\)
C. \({x : 2 < x < 6}\)
D. \({x : 2 < x \leq 6}\)

Question 2 :

• WAEC 2006

\(P = {x : 1 \leq x \leq 6}\) and \(Q = {x : 2 < x < 9}\) where \(x \in R\), find \(P \cap Q\).

A. \({x : 2 \leq x \leq 6}\)
B. \({x : 2 \leq x < 6}\)
C. \({x : 2 < x < 6}\)
D. \({x : 2 < x \leq 6}\)

Question 3 :

• WAEC 2006

Solve the inequality \(2x^{2} + 5x - 3 \geq 0\).

A. \(x \leq -3\) or \(x \geq \frac{1}{2}\)
B. \(x < -\frac{1}{2}\) or \(x \geq 3\)
C. \(-3 \leq x \leq \frac{1}{2}\)
D. \(-\frac{1}{2} \leq x \leq 3\)

Question 4 :

• WAEC 2006

Simplify \(\sqrt{(\frac{-1}{64})^{\frac{-2}{3}}}\).

A. -4
B. \(-\frac{1}{4}\)
C. \(\frac{1}{8}\)
D. 4

Question 5 :

• WAEC 2006

A binary operation ♦ is defined on the set R, of real numbers by \(a ♦ b = \frac{ab}{4}\). Find the value of \(\sqrt{2} ♦ \sqrt{6}\).

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