Waec Further Mathematics Past Questions For Year 2011
Question 16
The fourth term of a geometric sequence is 2 and the sixth term is 8. Find the common ratio.
- A. \(\pm 1\)
- B. \(\pm 2\)
- C. \(\pm 3\)
- D. \(\pm 4\)
Question 17
If \(\begin{pmatrix} 3 & 2 \\ 7 & x \end{pmatrix} \begin{pmatrix} 2 \\ 3 \end{pmatrix} = \begin{pmatrix} 12 \\ 29 \end{pmatrix} \), find x.
- A. 5
- B. 6
- C. 7
- D. 8
Question 18
The inverse of a function is given by \(f^{-1} : x \to \frac{x + 1}{4}\).
- A. \(f : x \to 4x - 1\)
- B. \(f : x \to 4x + 1\)
- C. \(f : x \to \frac{4x - 1}{4}\)
- D. \(f : x \to \frac{x - 1}{2}\)
Question 19
Solve \(9^{2x + 1} = 81^{3x + 2}\)
- A. \(\frac{-3}{4}\)
- B. \(\frac{-2}{3}\)
- C. \(\frac{4}{5}\)
- D. \(\frac{3}{2}\)
Question 20
The probability that Kofi and Ama hit a target in a shooting competition are \(\frac{1}{6}\) and \(\frac{1}{9}\) respectively. What is the probability that only one of them hit the target?
- A. \(\frac{1}{54}\)
- B. \(\frac{13}{54}\)
- C. \(\frac{20}{27}\)
- D. \(\frac{41}{54}\)
