Waec Further Mathematics Past Questions For Year 2010
Question 1
Simplify \(\frac{\log_{5} 8}{\log_{5} \sqrt{8}}\).
- A. -2
- B. \(\frac{-1}{2}\)
- C. \(\frac{1}{2}\)
- D. 2
Question 2
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. \(\frac{-5}{19}\)
Question 3
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 4
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 5
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. \({x : x \in R, x\neq -3}\)
