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.