Further Mathematics 2011 Waec Past Questions and Answers

Question 21 :

• WAEC 2011

What percentage increase in the radius of a sphere will cause its volume to increase by 45%?

A. 13%
B. 15%
C. 23%
D. 25%

Question 22 :

• WAEC 2011

Evaluate \(\frac{1}{1 - \sin 60°}\), leaving your answer in surd form.

A. \(1 - \sqrt{3}\)
B. \(2 - \sqrt{3}\)
C. \(4 - 2\sqrt{3}\)
D. \(4 + 2\sqrt{3}\)

Question 23 :

• WAEC 2011

Find the equation of a circle with centre (-3, -8) and radius \(4\sqrt{6}\).

A. \(x^{2} - y^{2} - 6x + 16y + 23 = 0\)
B. \(x^{2} + y^{2} + 6x + 16y - 23 = 0\)
C. \(x^{2} + y^{2} + 6x - 16y + 23 = 0\)
D. \(x^{2} + y^{2} - 6x + 16y + 23 = 0\)

Question 24 :

• WAEC 2011

Determine the coefficient of \(x^{2}\) in the expansion of \((a + 3x)^{6}\).

A. \(18a^{2}\)
B. \(45a^{4}\)
C. \(135a^{4}\)
D. \(1215a^{2}\)

Question 25 :

• WAEC 2011

The mean of 2, 5, (x + 2), 7 and 9 is 6. Find the median.

A. 5.5
B. 6.0
C. 6.5
D. 7.0