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Monday, 06 April 2026
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Further Mathematics Past Questions and Answers

Waec Further Mathematics Questions

Question 151:
Which of the following is a factor of the polynomial \(6x^{4} + 2x^{3} + 15x + 5\)?
  • A 3x + 1
  • B X + 1
  • C 2x + 1
  • D X + 2
View Answer & Explanation
Question 152:
Given that \(f : x \to \frac{2x - 1}{x + 2}, x \neq -2\), find \(f^{-1}\), the inverse of f.
  • A \(f^{-1} : x \to \frac{1+2x}{2-x}, x \neq 2\)
  • B \(f^{-1} : x \to \frac{1-2x}{x+2}, x \neq -2\)
  • C \(f^{-1} : x \to \frac{1-2x}{x-2}, x \neq 2\)
  • D \(f^{-1} : x \to \frac{1+2x}{x+2}, x \neq -2\)
View Answer & Explanation
Question 153:
Simplify \(\frac{1 - 2\sqrt{5}}{2 + 3\sqrt{2}}\).
  • A \(14(2\sqrt{2} + 6\sqrt{5} - 4\sqrt{10})\)
  • B \(\frac{1}{14}(2 - 3\sqrt{2} - 4\sqrt{5} - 6\sqrt{10})\)
  • C \(\frac{1}{14}(3\sqrt{2} + 4\sqrt{5} - 6\sqrt{10} - 2)\)
  • D \(14(2 + 3\sqrt{2} - 6\sqrt{5} + 4\sqrt{10})\)
View Answer & Explanation
Question 154:
Solve: \(2\cos x - 1 = 0\).
  • A \((\frac{2\pi}{3}, \frac{4\pi}{3})\)
  • B \((\frac{\pi}{6}, \frac{5\pi}{6})\)
  • C \((\frac{\pi}{5}, \frac{2\pi}{5})\)
  • D \((\frac{\pi}{3}, \frac{5\pi}{3})\)
View Answer & Explanation
Question 155:
Solve: \(4(2^{x^2}) = 8^{x}\)
  • A (1, 2)
  • B (1, -2)
  • C (-1, 2)
  • D (-1, -2)
View Answer & Explanation