Waec Further Mathematics Past Questions and Answers

Question 466:

• 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 467:

• 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 468:

• 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. \(\frac{1}{x + 2y}\)

Question 469:

• WAEC 2011

A line is perpendicular to \(3x - y + 11 = 0\) and passes through the point (1, -5). Find its equation.

A. 3y - x -14 = 0
B. 3x + y + 1 = 0
C. 3y + x + 1 = 0
D. 3y + x + 14 = 0

Question 470:

• WAEC 2011

Solve \(9^{2x + 1} = 81^{3x + 2}\)

A. \(\frac{-3}{4}\)
B. \(\frac{-2}{3}\)
C. \(\frac{4}{5}\)
D. \(\frac{3}{2}\)