Further Mathematics 2011 Waec Past Questions and Answers

Question 11 :

• WAEC 2011

\(f(x) = p + qx\), where p and q are constants. If f(1) = 7 and f(5) = 19, find f(3).

A. 13
B. 15
C. 17
D. 26

Question 12 :

• WAEC 2011

The sum and product of the roots of a quadratic equation are \(\frac{4}{7}\) and \(\frac{5}{7}\) respectively. Find its equation.

A. \(7x^{2} - 4x - 5 = 0\)
B. \(7x^{2} - 4x + 5 = 0\)
C. \(7x^{2} + 4x - 5 = 0\)
D. \(7x^{2} + 4x + 5 = 0\)

Question 13 :

• WAEC 2011

\(f(x) = (x^{2} + 3)^{2}\) is defines on the set of real numbers, R. Find the gradient of f(x) at x = \(\frac{1}{2}\).

A. 4.0
B. 6.5
C. 5.0
D. 10.6

Question 14 :

• WAEC 2011

Find \(\lim \limits_{x \to 3} \frac{x + 3}{x^{2} - x - 12}\)

A. -1
B. \(\frac{-1}{7}\)
C. \(\frac{1}{7}\)
D. 1

Question 15 :

• WAEC 2011

If \(y^{2} + xy - x = 0\), find \(\frac{\mathrm d y}{\mathrm d x}\).

A. \(\frac{1 - y}{2y}\)
B. \(\frac{1 - 2y}{x}\)
C. \(\frac{1 - y}{x + 2y}\)
D. \(\frac{1}{x + 2y}\)