Waec Further Mathematics Past Questions and Answers

Question 186:

• 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 187:

• 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. \(\frac{4x - 7}{2x - 4}, x \neq 2\)

Question 188:

• WAEC 2014

If \(8^{x} à· (\frac{1}{4})^{y} = 1\) and \(\log_{2}(x - 2y) = 1\), find the value of (x - y).

A. \(\frac{5}{4}\)
B. \(\frac{3}{5}\)
C. \(1\)
D. \(\frac{2}{3}\)

Question 189:

• WAEC 2014

Simplify \(\frac{1 + \sqrt{8}}{3 - \sqrt{2}}\).

A. \(7 + \sqrt{2}\)
B. \(7 + 7\sqrt{2}\)
C. \(1 - 7\sqrt{2}\)
D. \(1 + \sqrt{2}\)

Question 190:

• WAEC 2014

Using the binomial expansion \((1+x)^{6} = 1 + 6x + 15x^{2} + 20x^{3} + 15x^{4} + 6x^{5} + x^{6}\), find, correct to 3 dp, the value of \((1.98)^{6}\).

A. 64.245
B. 61.255
C. 60.255
D. 60.245