Search SchoolNGR

Monday, 06 April 2026
Register . Login

Further Mathematics Past Questions and Answers

Waec Further Mathematics Questions

Question 156:
If \(\log_{3} x = \log_{9} 3\), find the value of x.
  • A \(3^{2}\)
  • B \(3^{\frac{1}{2}}\)
  • C \(3^{\frac{1}{3}}\)
  • D \(2^{13}\)
View Answer & Explanation
Question 157:
Find the 3rd term of \((\frac{x}{2} - 1)^{8}\) in descending order of x.
  • A \(\frac{x^{7}}{8}\)
  • B \(\frac{7x^{6}}{16}\)
  • C \(\frac{7x^{5}}{4}\)
  • D \(\frac{35x^{4}}{8}\)
View Answer & Explanation
Question 158:
Express (14N, 240°) as a column vector.
  • A \(\begin{pmatrix} -7 \\ -7\sqrt{3} \end{pmatrix}\)
  • B \(\begin{pmatrix} 7\sqrt{3} \\ 7\sqrt{3} \end{pmatrix}\)
  • C \(\begin{pmatrix} -7\sqrt{3} \\ -7 \end{pmatrix}\)
  • D \(\begin{pmatrix} 7 \\ -7\sqrt{3} \end{pmatrix}\)
View Answer & Explanation
Question 159:
Evaluate \(\frac{\tan 120° + \tan 30°}{\tan 120° - \tan 60°}\)
  • A \(\sqrt{3} + \sqrt{2}\)
  • B \(\frac{2}{3}\)
  • C \(\frac{1}{3}\)
  • D \(-2\sqrt{3}\)
View Answer & Explanation
Question 160:
Find \(\lim\limits_{x \to 3} (\frac{x^{3} + x^{2} - 12x}{x^{2} - 9})\)
  • A \(\frac{7}{2}\)
  • B \(0\)
  • C \(\frac{-7}{2}\)
  • D \(-7\)
View Answer & Explanation