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Tuesday, 12 May 2026
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Further Mathematics Past Questions and Answers

Waec Further Mathematics Questions

Question 731:
Simplify; \(\frac{\sqrt{5} + 3}{4 - \sqrt{10}}\)
  • A \(\frac{2}{3}\)\(\sqrt{5}\) + \(\frac{5}{6}\sqrt{2}\) + 2
  • B \(\frac{2}{3}\)\(\sqrt{5}\) + \(\frac{5}{6}\sqrt{2}\) + \(\frac{1}{2}\sqrt{10}\)
  • C \(\frac{2}{3}\)\(\sqrt{5}\) + \(\frac{5}{6}\sqrt{2}\) + \(\frac{1}{2}\sqrt{10}\) + 2
  • D \(\frac{2}{3}\)\(\sqrt{5}\) - \(\frac{5}{6}\sqrt{2}\) + \(\frac{1}{2}\sqrt{10}\) + 2
View Answer & Explanation
Question 732:
If \(\frac{6x + k}{2x^2 + 7x - 15}\) = \(\frac{4}{x + 5} - \frac{2}{2x - 3}\). Find the value of k.
  • A - 21
  • B - 22
  • C - 24
  • D - 25
View Answer & Explanation
Question 733:
Differentiate \(\frac{x}{x + 1}\) with respect to x.
  • A \(\frac{x}{x + 1}\)
  • B \(\frac{-1}{x + 1}\)
  • C \(\frac{1 - x}{(x + 1)^2}\)
  • D \(\frac{1}{(x + 1)^2}\)
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Question 734:
Given that 2x + 3y - 10 and 3x = 2y - 11, calculate the value of (x - y).
  • A 5
  • B 3
  • C - 3
  • D - 5
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Question 735:
Given that X : R \(\to\) R is defined by x = \(\frac{y + 1}{5 - y}\) , y \(\in\) R, find the domain of x.
  • A {y : y \(\in\) R, y \(\neq\) 0}
  • B {y : y \(\in\) R, y \(\neq\) 1}
  • C {y : y \(\in\) R, y \(\neq\) 5}
  • D {y : y \(\in\) R, y \(\neq\) 7}
View Answer & Explanation