Waec Further Mathematics 2013 Past Questions and Answers

Question 6:

• WAEC 2013

If \(f(x) = x^{2}\) and \(g(x) = \sin x\), find g o f.

A. \(\sin^{2} x\)
B. \(\sin x^{2}\)
C. \((\sin x)x^{2}\)
D. \(x \sin x\)

Question 7:

• WAEC 2013

Find the third term in the expansion of \((a - b)^{6}\) in ascending powers of b.

A. \(-15a^{4}b^{2}\)
B. \(15a^{4}b^{2}\)
C. \(-15a^{3}b^{3}\)
D. \(15a^{3}b^{3}\)

Question 8:

• WAEC 2013

If \(\sqrt{x} + \sqrt{x + 1} = \sqrt{2x + 1}\), find the possible values of x.

A. 1 and -1
B. -1 and 2
C. 1 and 2
D. 0 and -1

Question 9:

• WAEC 2013

If \(\alpha\) and \(\beta\) are the roots of the equation \(2x^{2} - 6x + 5 = 0\), evaluate \(\frac{\beta}{\alpha} + \frac{\alpha}{\beta}\).

A. \(\frac{24}{5}\)
B. \(\frac{8}{5}\)
C. \(\frac{5}{8}\)
D. \(\frac{5}{24}\)

Question 10:

• WAEC 2013

Given that \(f(x) = 2x^{3} - 3x^{2} - 11x + 6\) and \(f(3) = 0\), factorize f(x).

A. (x - 3)(x - 2)(2x + 2)
B. (x + 3)(x - 2)(x - 1)
C. (x - 3)(x + 2)(2x -1)
D. (x + 3)(x - 2)(2x - 1)