Waec Further Mathematics 2008 Past Questions and Answers

Question 1:

• WAEC 2008

Simplify \(\frac{\sqrt{3} + \sqrt{48}}{\sqrt{6}}\)

A. \(3\sqrt{2}\)
B. \(5\sqrt{2}\)
C. \(\frac{5\sqrt{2}}{2}\)
D. \(\frac{3\sqrt{2}}{2}\)

Question 2:

• WAEC 2008

Simplify \(\frac{\sqrt{3} + \sqrt{48}}{\sqrt{6}}\)

A. \(3\sqrt{2}\)
B. \(5\sqrt{2}\)
C. \(\frac{5\sqrt{2}}{2}\)
D. \(\frac{3\sqrt{2}}{2}\)

Question 3:

• WAEC 2008

Find the range of values of x for which \(2x^{2} + 7x - 15 > 0\).

A. \(x < -\frac{3}{2}\) or \(x > 5\)
B. \(x < -5\) or \(x > \frac{3}{2}\)
C. \(-\frac{3}{2} < x < 5\)
D. \(-5 < x < \frac{3}{2}\)

Question 4:

• WAEC 2008

A function f is defined on R, the set of real numbers, by: \(f : x \to \frac{x + 3}{x - 2}, x \neq 2\), find \(f^{-1}\).

A. \(f^{-1} : x \to \frac{2x + 3}{x - 1}, x \neq 1\)
B. \(f^{-1} : x \to \frac{x + 3}{x + 2}, x \neq -2\)
C. \(f^{-1} : x \to \frac{x - 1}{2x + 3}, x \neq -\frac{3}{2}\)
D. \(f^{-1}: x \to \frac{x - 2}{x + 3}, x \neq -3\)

Question 5:

• WAEC 2008

The sum of the first n terms of a linear sequence is \(S_{n} = n^{2} + 2n\). Find the common difference of the sequence.

A. 5
B. 4
C. 3
D. 2