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Sunday, 05 April 2026
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Further Mathematics Past Questions and Answers

Waec Further Mathematics Questions

Question 126:
Simplify: \(^{n}C_{r} à· ^{n}C_{r-1}\)
  • A \(\frac{n(n-r)}{r}\)
  • B \(\frac{n}{r(n-r)}\)
  • C \(\frac{1}{r(n-r)}\)
  • D \(\frac{n+1-r}{r}\)
View Answer & Explanation
Question 127:
If \(2\sin^{2} \theta = 1 + \cos \theta, \leq \theta \leq find the value of \(\theta\).
  • A 90°
  • B 60°
  • C 45°
  • D 30°
View Answer & Explanation
Question 128:
If \(\begin{vmatrix} 1+2x & -1 \\ 6 & 3-x \end{vmatrix} = -3 \), find the values of x.
  • A \(x = 3, -2\)
  • B \(x = 4, \frac{-2}{3}\)
  • C \(x = -4, \frac{3}{2}\)
  • D \(x = 4, \frac{-3}{2}\)
View Answer & Explanation
Question 129:
Find \(\int \frac{x^{3} + 5x + 1}{x^{3}} \mathrm {d} x\)
  • A \(x^{2} + 10x + c\)
  • B \(x + \frac{5}{3}x^{3} + x^{4} + c\)
  • C \(x - 5x^{2} - 2x^{3} + c\)
  • D \(x - \frac{5}{x} - \frac{1}{2x^{2}} + c\)
View Answer & Explanation
Question 130:
Find the coordinates of the point which divides the line joining P(-2, 3) and Q(4, 6) internally in the ratio 2 : 3.
  • A \((5\frac{2}{5}, \frac{2}{5})\)
  • B \((\frac{2}{5}, 5\frac{2}{5})\)
  • C \((\frac{-2}{5}, 5\frac{2}{5})\)
  • D \((\frac{2}{5}, 4\frac{1}{5})\)
View Answer & Explanation