Waec Further Mathematics 2015 Past Questions and Answers

Question 31:

• WAEC 2015

Given that \(f : x \to x^{2}\) and \(g : x \to x + 3\), where \(x \in R\), find \(f o g(2)\).

A. 25
B. 9
C. 7
D. 5

Question 32:

• WAEC 2015

Given that \(\frac{2x}{(x + 6)(x + 3)} = \frac{P}{x + 6} + \frac{Q}{x + 3}\), find P and Q.

A. P = 4 and Q = 2
B. P = 2 and Q = 4
C. P = 4 and Q = -2
D. P = -2 and Q = 4

Question 33:

• WAEC 2015

Given that \(P = \begin{pmatrix} -2 & 1 \\ 3 & 4 \end{pmatrix}\) and \(Q = \begin{pmatrix} 5 & -3 \\ 2 & -1 \end{pmatrix}\), find PQ - QP.

A. \(\begin{pmatrix} 0 & 0 \\ 0 & 0 \end{pmatrix}\)
B. \(\begin{pmatrix} 27 & 12 \\ 16 & -15 \end{pmatrix}\)
C. \(\begin{pmatrix} -20 & -6 \\ 12 & -8 \end{pmatrix}\)
D. \(\begin{pmatrix} 11 & 12 \\ 30 & -11 \end{pmatrix}\)

Question 34:

• WAEC 2015

Which of the following is a factor of the polynomial \(6x^{4} + 2x^{3} + 15x + 5\)?

A. 3x + 1
B. X + 1
C. 2x + 1
D. X + 2

Question 35:

• WAEC 2015

Given that \(f : x \to \frac{2x - 1}{x + 2}, x \neq -2\), find \(f^{-1}\), the inverse of f.

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