Waec Further Mathematics 2013 Past Questions and Answers

Question 41:

• WAEC 2013

A body is kept at rest by three forces \(F_{1} = (10N, 030°), F_{2} = (10N, 150°)\) and \(F_{3}\). Find \(F_{3}\).

A. (12N, 090°)
B. (10N, 270°)
C. (10N, 180°)
D. (10N, 120°)

Question 42:

• WAEC 2013

(a) If the coefficient of \(x^{2}\) and \(x^{3}\) in the expansion of \((p + qx)^{7}\) are equal, express q in terms of p.
(b) A man makes a weekly contribution into a fund. In the first week, he paid N180.00, second week N260.00, third week N340.00 and so on. How much would he have contributed in 16 weeks?

Question 43:

• WAEC 2013

Calculate the gradient of the curve \(x^{3} + y^{3} - 2xy = 11\) at (2, -1).

Question 44:

• WAEC 2013

A side of a rectangle is three times the other. If the perimeter increases by 2%, find the percentage increase in the area of the rectangle.

Question 45:

• WAEC 2013

The line \(2y = x + 3\) meets the circle \(x^{2} + y^{2} - 2x + 6y - 15 = 0\) at points M and N, where N is in the first quadrant. Find the coordinates of M and N.