Search SchoolNGR

Sunday, 05 April 2026
Register . Login

Further Mathematics Past Questions and Answers

Waec Further Mathematics Questions

Question 101:
If \(\begin{vmatrix} m-2 & m+1 \\ m+4 & m-2 \end{vmatrix} = -27\), find the value of m.
  • A \(3\frac{8}{9}\)
  • B \(3\)
  • C \(2\frac{1}{2}\)
  • D \(2\)
View Answer & Explanation
Question 102:
If \(P = \begin{pmatrix} 1 & 2 \\ 5 & 1 \end{pmatrix}\) and \(Q = \begin{pmatrix} 0 & 1 \\ 1 & 3 \end{pmatrix}\), find PQ.
  • A \(\begin{pmatrix} 5 & 1 \\ 16 & 5 \end{pmatrix}\)
  • B \(\begin{pmatrix} 2 & 16 \\ 1 & 10 \end{pmatrix}\)
  • C \(\begin{pmatrix} 2 & 7 \\ 1 & 8 \end{pmatrix}\)
  • D \(\begin{pmatrix} 2 & 5 \\ -1 & -8 \end{pmatrix}\)
View Answer & Explanation
Question 103:
Solve for x in the equation \(5^{x} \times 5^{x + 1} = 25\).
  • A \(-2\)
  • B \(\frac{-1}{2}\)
  • C \(\frac{1}{2}\)
  • D \(2\)
View Answer & Explanation
Question 104:
If \(\log_{10}y + 3\log_{10}x \geq \log_{10}x\), express y in terms of x.
  • A \(y \geq \frac{1}{x}\)
  • B \(y \leq \frac{1}{x}\)
  • C \(y \leq \frac{1}{x^{2}}\)
  • D \(y \geq \frac{1}{x^{2}}\)
View Answer & Explanation
Question 105:
Simplify \(\frac{^{n}P_{5}}{^{n}C_{5}}\).
  • A 80
  • B 90
  • C 110
  • D 120
View Answer & Explanation