Waec Further Mathematics Past Questions and Answers

Question 176:

• WAEC 2014

Find the angle between \((5i + 3j)\) and \((3i - 5j)\).

A. 180°
B. 90°
C. 45°
D. 0°

Question 177:

• WAEC 2014

Find the coefficient of \(x^3\) in the binomial expansion of \((3x + 4)^4\) in ascending powers of x.

A. 432
B. 194
C. 144
D. 108

Question 178:

• WAEC 2014

A function is defined by \(h : x \to 2 - \frac{1}{2x - 3}, x \neq \frac{3}{2}\). Find \(h^{-1}(\frac{1}{2})\).

A. \(6\)
B. \(\frac{11}{6}\)
C. \(\frac{11}{4}\)
D. \(\frac{5}{3}\)

Question 179:

• WAEC 2014

The radius of a sphere is increasing at a rate \(3cm s^{-1}\). Find the rate of increase in the surface area, when the radius is 2cm.

A. \(8\pi cm^{2}s^{-1}\)
B. \(16\pi cm^{2}s^{-1}\)
C. \(24\pi cm^{2}s^{-1}\)
D. \(48\pi cm^{2}s^{-1}\)

Question 180:

• WAEC 2014

Age in years	10 - 14	15 - 19	20 - 24	25 - 29	30 - 34
Frequency	6	8	14	10	12

What is the class mark of the median class?

A. 17
B. 22
C. 27
D. 32