Waec Further Mathematics Past Questions For Year 2017
Question 1
Find the coordinates of the centre of the circle \(3x^{2}+3y^{2} - 4x + 8y -2=0\)
- A. (-2,4)
- B. (\(\frac{-2}{3}, \frac{4}{3}\))
- C. (\(\frac{2}{3}, \frac{-4}{3}\))
- D. (2, -4)
Question 2
If \(x^{2} - kx + 9 = 0\) has equal roots, find the values of k.
- A. 3, 4
- B. \(\pm3\)
- C. \(\pm5\)
- D. \(\pm6\)
Question 3
Simplify \(\frac{1}{(1-\sqrt{3})^{2}}\)
- A. \(1- \frac{1}{2}\sqrt{3}\)
- B. \(1+ \frac{1}{2}\sqrt{3}\)
- C. \(\sqrt{3}\)
- D. \(1+\sqrt{3}\)
Question 4
A binary operation \(\Delta\) is defined on the set of real numbers, R, by \(a \Delta b = \frac{a+b}{\sqrt{ab}}\), where a\(\neq\) 0, b\(\neq\) 0. Evaluate \(-3 \Delta -1\).
- A. \(-4\sqrt{3}\)
- B. \(\frac{-4\sqrt{3}}{3}\)
- C. \(\frac{-3\sqrt{3}}{4}\)
- D. \(\frac{-3\sqrt{3}}{4}\)
Question 5
If \(log_{y}\frac{1}{8}\) = 3, find the value of y.
- A. -2
- B. -\(\frac{1}{2}\)
- C. \(\frac{1}{2}\)
- D. 2
