Waec Further Mathematics Past Questions For Year 2017
Question 26
Given that \( a = \begin{pmatrix} 2 \\ 3 \end{pmatrix}\) and \(b = \begin{pmatrix} -1 \\ 4 \end{pmatrix}\), evaluate \((2a - \frac{1}{4}b)\).
- A. \(\begin{pmatrix} \frac{17}{4} \\ 7 \end{pmatrix}\)
- B. \(\begin{pmatrix} \frac{17}{4} \\ 5 \end{pmatrix}\)
- C. \(\begin{pmatrix} \frac{17}{4} \\ 3 \end{pmatrix}\)
- D. \(\begin{pmatrix} \frac{17}{4} \\ 2 \end{pmatrix}\)
Question 27
A fair die is tossed twice. What is its smple size?
- A. 6
- B. 12
- C. 36
- D. 48
Question 28
In a class of 10 boys and 15 girls, the average score in a Biology test is 90. If the average score for the girls is x, find the average score for the boys in terms of x.
- A. \(200 - \frac{2x}{3}\)
- B. \(225 - \frac{3x}{2}\)
- C. \(250 - 2x\)
- D. \(250 - 3x\)
Question 29
A curve is given by \(y = 5 - x - 2x^{2}\). Find the equation of its line of symmetry.
- A. \(x = \frac{-41}{8}\)
- B. \(x = \frac{-1}{4}\)
- C. \(x = \frac{1}{4}\)
- D. \(x = \frac{41}{8}\)
Question 30
Differentiate \(\frac{5x^{3} + x^{2}}{x}, x\neq 0\) with respect to x.
- A. 10x+1
- B. 10x+2
- C. x(15x+1)
- D. x(15x+2)