Waec Further Mathematics 2013 Past Questions and Answers

Question 26:

• WAEC 2013

Express \(\frac{x^{2} + x + 4}{(1 - x)(x^{2} + 1)}\) in partial fractions.

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

Question 27:

• WAEC 2013

Two bodies of masses 3kg and 5kg moving with velocities 2 m/s and V m/s respectively in opposite directions collide. If they move together after collision with velocity 3.5 m/s in the direction of the 5kg mass, find the value of V.

A. 7.8 m/s
B. 6.8 m/s
C. 5.6 m/s
D. 4.6 m/s

Question 28:

• WAEC 2013

The equation of a circle is \(x^{2} + y^{2} - 8x + 9y + 15 = 0\). Find its radius.

A. 5
B. \(\frac{1}{2}\sqrt{15}\)
C. \(\frac{1}{2}\sqrt{85}\)
D. \(\sqrt{85}\)

Question 29:

• WAEC 2013

A particle is acted upon by two forces 6N and 3N inclined at an angle of 120° to each other. Find the magnitude of the resultant force.

A. \(18\sqrt{3}\) N
B. \(27\) N
C. \(24\) N
D. \(3\sqrt{3}\) N

Question 30:

• WAEC 2013

If \(s = 3i - j\) and \(t = 2i + 3j\), find \((t - 3s).(t + 3s)\).

A. -77
B. -71
C. -53
D. -41