Further Mathematics 2014 Waec Past Questions and Answers

Question 26 :

• WAEC 2014

A box contains 5 red and k blue balls. A ball is selected at random from the box. If the probability of selecting a blue ball is \(\frac{2}{3}\), find the value of k.

A. 5
B. 6
C. 8
D. 10

Question 27 :

• WAEC 2014

If \(\frac{x + P}{(x - 1)(x - 3)} = \frac{Q}{x - 1} + \frac{2}{x - 3}\), find the value of (P + Q).

A. -2
B. -1
C. Zero
D. 1

Question 28 :

• WAEC 2014

Find the derivative of \(\sqrt[3]{(3x^{3} + 1}\) with respect to x.

A. \(\frac{3x}{3(3x^{3} + 1)}\)
B. \(\frac{3x^{2}}{\sqrt[3]{(3x^{3} + 1)^{2}}}\)
C. \(\frac{3x}{\sqrt[3]{3x^{2} + 1}}\)
D. \(\frac{3x^{2}}{3(3x^{2} + 1)^{2}}\)

Question 29 :

• WAEC 2014

If \(T = \begin{pmatrix} -2 & -5 \\ 3 & 8 \end{pmatrix}\), find \(T^{-1}\), the inverse of T.

A. \(\begin{pmatrix} -8 & -5 \\ 3 & 2 \end{pmatrix}\)
B. \(\begin{pmatrix} -8 & -5 \\ 3 & -2 \end{pmatrix}\)
C. \(\begin{pmatrix} -8 & -5 \\ -3 & 2 \end{pmatrix}\)
D. \(\begin{pmatrix} -8 & -5 \\ -3 & -2 \end{pmatrix}\)

Question 30 :

• WAEC 2014

A function is defined by \(h : x \to 2 - \frac{1}{2x - 3}, x \neq \frac{3}{2}\). Find \(h^-1\), the inverse of h.

A. \(\frac{3x - 4}{2x - 7}, x \neq \frac{7}{2}\)
B. \(\frac{3x - 7}{2x - 4}, x \neq 2\)
C. \(\frac{2x - 7}{4x - 3}, x \neq \frac{3}{4}\)
D. \(\frac{4x - 7}{2x - 4}, x \neq 2\)