Waec Further Mathematics Past Questions and Answers

Question 126:

• WAEC 2015

Simplify: \(^{n}C_{r} à· ^{n}C_{r-1}\)

A. \(\frac{n(n-r)}{r}\)
B. \(\frac{n}{r(n-r)}\)
C. \(\frac{1}{r(n-r)}\)
D. \(\frac{n+1-r}{r}\)

Question 127:

• WAEC 2015

If \(2\sin^{2} \theta = 1 + \cos \theta, \leq \theta \leq find the value of \(\theta\).

A. 90°
B. 60°
C. 45°
D. 30°

Question 128:

• WAEC 2015

If \(\begin{vmatrix} 1+2x & -1 \\ 6 & 3-x \end{vmatrix} = -3 \), find the values of x.

A. \(x = 3, -2\)
B. \(x = 4, \frac{-2}{3}\)
C. \(x = -4, \frac{3}{2}\)
D. \(x = 4, \frac{-3}{2}\)

Question 129:

• WAEC 2015

Find \(\int \frac{x^{3} + 5x + 1}{x^{3}} \mathrm {d} x\)

A. \(x^{2} + 10x + c\)
B. \(x + \frac{5}{3}x^{3} + x^{4} + c\)
C. \(x - 5x^{2} - 2x^{3} + c\)
D. \(x - \frac{5}{x} - \frac{1}{2x^{2}} + c\)

Question 130:

• WAEC 2015

Find the coordinates of the point which divides the line joining P(-2, 3) and Q(4, 6) internally in the ratio 2 : 3.

A. \((5\frac{2}{5}, \frac{2}{5})\)
B. \((\frac{2}{5}, 5\frac{2}{5})\)
C. \((\frac{-2}{5}, 5\frac{2}{5})\)
D. \((\frac{2}{5}, 4\frac{1}{5})\)