Waec Further Mathematics Past Questions For Year 2018
Question 1
If \(4x^{2} + 5kx + 10\) is a perfect square, find the value of k.
- A. \(\frac{5\sqrt{10}}{4}\)
- B. \(4\sqrt{10}\)
- C. \(5\sqrt{10}\)
- D. \(\frac{4\sqrt{10}}{5}\)
Question 2
A binary operation * is defined on the set of real numbers, by \(a * b = \frac{a}{b} + \frac{b}{a}\). If \((\sqrt{x} + 1) * (\sqrt{x} - 1) = 4\), find the value of x.
- A. 6
- B. 5
- C. 4
- D. 3
Question 3
Given that \(f(x) = 3x^{2} - 12x + 12\) and \(f(x) = 3\), find the values of x.
- A. 1, 3
- B. -1, -3
- C. 1, -3
- D. -1, 3
Question 4
Find the domain of \(g(x) = \frac{4x^{2} - 1}{\sqrt{9x^{2} + 1}}\)
- A. \({x : x \in R, x = \frac{1}{2}}\)
- B. \(x: x \in R, x\neq \frac{1}{3}\)
- C. \(x : x \in R, x = \frac{1}{3}\)
- D. \(x: x \in R\)
Question 5
Simplify \(\frac{\sqrt{3}}{\sqrt{3} -1} + \frac{\sqrt{3}}{\sqrt{3} + 1}\)
- A. \(\frac{1}{2}\)
- B. 3
- C. \(2\sqrt{3}\)
- D. 6
