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Tuesday, 07 April 2026
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Further Mathematics Past Questions and Answers

Waec Further Mathematics Questions

Question 266:
Solve the inequality \(2x^{2} + 5x - 3 \geq 0\).
  • A \(x \leq -3\) or \(x \geq \frac{1}{2}\)
  • B \(x < -\frac{1}{2}\) or \(x \geq 3\)
  • C \(-3 \leq x \leq \frac{1}{2}\)
  • D \(-\frac{1}{2} \leq x \leq 3\)
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Question 267:
What is the coordinate of the centre of the circle \(5x^{2} + 5y^{2} - 15x + 25y - 3 = 0\)?
  • A \((\frac{15}{2}, -\frac{25}{2})\)
  • B \((\frac{3}{2}, -\frac{5}{2})\)
  • C \((-\frac{3}{2}, \frac{5}{2})\)
  • D \((-\frac{15}{2}, \frac{25}{2})\)
View Answer & Explanation
Question 268:
Simplify \(\sqrt{(\frac{-1}{64})^{\frac{-2}{3}}}\).
  • A -4
  • B \(-\frac{1}{4}\)
  • C \(\frac{1}{8}\)
  • D 4
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Question 269:
Evaluate \(\int_{1}^{2} (2 + 2x - 3x^{2}) \mathrm {d} x\).
  • A -2
  • B 2
  • C 8
  • D 10
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Question 270:
A binary operation ♦ is defined on the set R, of real numbers by \(a ♦ b = \frac{ab}{4}\). Find the value of \(\sqrt{2} ♦ \sqrt{6}\).
  • A \(\sqrt{3}\)
  • B \(\frac{3\sqrt{2}}{4}\)
  • C \(\frac{\sqrt{3}}{2}\)
  • D \(\frac{\sqrt{2}}{2}\)
View Answer & Explanation