Waec Further Mathematics 2016 Past Questions and Answers

Question 11:

• WAEC 2016

Find \(\lim\limits_{x \to 3} \frac{2x^{2} + x - 21}{x - 3}\).

A. Zero
B. 1
C. 7
D. 13

Question 12:

• WAEC 2016

Find the gradient to the normal of the curve \(y = x^{3} - x^{2}\) at the point where x = 2.

A. \(\frac{-1}{8}\)
B. \(\frac{1}{8}\)
C. \(\frac{-1}{24}\)
D. \(1\)

Question 13:

• WAEC 2016

Find the minimum value of \(y = 3x^{2} - x - 6\).

A. \(-6\frac{1}{6}\)
B. \(-6\frac{1}{12}\)
C. \(-6\)
D. \(0\)

Question 14:

• WAEC 2016

The radius of a circle increases at a rate of 0.5\(cms^{-1}\). Find the rate of change in the area of the circle with radius 7cm. \([\pi = \frac{22}{7}]\)

A. 11\(cm^{2}s^{-1}\)
B. 22\(cm^{2}s^{-1}\)
C. 33\(cm^{2}s^{-1}\)
D. 44\(cm^{2}s^{-1}\)

Question 15:

• WAEC 2016

Find an expression for y given that \(\frac{\mathrm d y}{\mathrm d x} = x^{2}\sqrt{x}\)

A. \(\frac{1x^{\frac{2}{7}}}{7} + c\)
B. \(\frac{2x^{\frac{3}{2}}}{7} + c\)
C. \(\frac{2x^{\frac{7}{2}}}{7} + c\)
D. \(\frac{1x^{\frac{7}{2}}}{7} + c\)