Waec Further Mathematics Past Questions and Answers

Question 256:

• 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 257:

• 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 258:

• 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

Question 259:

• WAEC 2008

The sum of the first n terms of a linear sequence is \(S_{n} = n^{2} + 2n\). Determine the general term of the sequence.

A. N + 1
B. 2n + 1
C. 3n + 1
D. 4n + 1

Question 260:

• WAEC 2008

If \(f(x) = 2x^{2} - 3x - 1\), find the value of x for which f(x) is minimum.

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