Waec Further Mathematics Past Questions
Question 16
Given that \(f(x) = 5x^{2} - 4x + 3\), find the coordinates of the point where the gradient is 6.
- A. (4,1)
- B. (4,-2)
- C. (1,4)
- D. (1,-2)
Question 17
A circle with centre (4,5) passes through the y-intercept of the line 5x - 2y + 6 = 0. Find its equation.
- A. \(x^{2} + y^{2} + 8x - 10y + 21 = 0\)
- B. \(x^{2} + y^{2} + 8x - 10y - 21 = 0\)
- C. \(x^{2} + y^{2} - 8x - 10y - 21 = 0\)
- D. \(x^{2} + y^{2} - 8x - 10y + 21 = 0\)
Question 18
Given that \(\sin x = \frac{5}{13}\) and \(\sin y = \frac{8}{17}\), where x and y are acute, find \(\cos(x+y)\).
- A. \(\frac{130}{221}\)
- B. \(\frac{140}{221}\)
- C. \(\frac{140}{204}\)
- D. \(\frac{220}{23}\)
Question 19
If \(B = \begin{pmatrix} 2 & 5 \\ 1 & 3 \end{pmatrix}\), find \(B^{-1}\).
- A. \(A = \begin{pmatrix} -3 & -5 \\ 1 & 2 \end{pmatrix}\)
- B. \(A = \begin{pmatrix} 3 & -5 \\ 1 & 2 \end{pmatrix}\)
- C. \(A = \begin{pmatrix} 3 & -5 \\ -1 & 2 \end{pmatrix}\)
- D. \(A = \begin{pmatrix} -3 & 5 \\ 1 & -2 \end{pmatrix}\)
Question 20
\(\alpha\) and \(\beta\) are the roots of the equation \(2x^{2} - 3x + 4 = 0\). Find \(\frac{\alpha}{\beta} + \frac{\beta}{\alpha}\)
- A. \(\frac{-9}{8}\)
- B. \(\frac{-7}{8}\)
- C. \(\frac{7}{8}\)
- D. \(\frac{9}{8}\)
