Waec Further Mathematics 2013 Past Questions and Answers

Question 11:

• WAEC 2013

Find the equation of the line that is perpendicular to \(2y + 5x - 6 = 0\) and bisects the line joining the points P(4, 3) and Q(-6, 1).

A. Y + 5x + 3 = 0
B. 2y - 5x - 9 = 0
C. 5y + 2x - 8 = 0
D. 5y - 2x - 12 = 0

Question 12:

• WAEC 2013

Differentiate \(x^{2} + xy - 5 = 0\).

A. \(\frac{-(2x + y)}{x}\)
B. \(\frac{(2x - y)}{x}\)
C. \(\frac{-x}{2x + y}\)
D. \(\frac{(2x + y)}{x}\)

Question 13:

• WAEC 2013

The fourth term of an exponential sequence is 192 and its ninth term is 6. Find the common ratio of the sequence.

A. \(\frac{1}{3}\)
B. \(\frac{1}{2}\)
C. \(2\)
D. \(3\)

Question 14:

• WAEC 2013

Find the range of values of x for which \(x^{2} + 4x + 5\) is less than \(3x^{2} - x + 2\)

A. \(x > \frac{-1}{2}, x > 3\)
B. \(x < \frac{-1}{2}, x > 3\)
C. \(\frac{-1}{2} \leq x \leq 3\)
D. \(\frac{-1}{2} < x < 3\)

Question 15:

• WAEC 2013

Given that \(\frac{\mathrm d y}{\mathrm d x} = \sqrt{x}\), find y.

A. \(2x^{\frac{3}{2}} + c\)
B. \(\frac{2}{3}x^{\frac{3}{2}} + c\)
C. \(\frac{3}{2}x^{\frac{3}{2}} + c\)
D. \(\frac{2}{3}x^{2} + c\)