Further Mathematics 2010 Waec Past Questions and Answers

Question 1 :

• WAEC 2010

Find the domain of \(f(x) = \frac{x}{3 - x}, x \in R\), the set of real numbers.

A. \({x : x \in R, x \neq 3}\)
B. \({x : x \in R, x \neq 1}\)
C. \({x : x \in R, x \neq 0}\)
D. \({x : x \in R, x\neq -3}\)

Question 2 :

• WAEC 2010

Find the domain of \(f(x) = \frac{x}{3 - x}, x \in R\), the set of real numbers.

A. \({x : x \in R, x \neq 3}\)
B. \({x : x \in R, x \neq 1}\)
C. \({x : x \in R, x \neq 0}\)
D. \({x : x \in R, x\neq -3}\)

Question 3 :

• WAEC 2010

Find the value of \(\cos(60° + 45°)\) leaving your answer in surd form.

A. \(\frac{6 + \sqrt{2}}{4}\)
B. \(\frac{3 + \sqrt{6}}{4}\)
C. \(\frac{\sqrt{2} - \sqrt{6}}{4}\)
D. \(\frac{3 - \sqrt{6}}{4}\)

Question 4 :

• WAEC 2010

If \(\frac{5}{\sqrt{2}} - \frac{\sqrt{8}}{8} = m\sqrt{2}\), where m is a constant. Find m.

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

Question 5 :

• WAEC 2010

If \(16^{3x} = \frac{1}{4}(32^{x - 1})\), find the value of x.

A. \(-1\)
B. \(\frac{-1}{3}\)
C. \(\frac{-3}{7}\)
D. \(\frac{-5}{19}\)