Further Mathematics 2009 Waec Past Questions and Answers

Question 21 :

• WAEC 2009

Evaluate \(\int_{1}^{2} [\frac{x^{3} - 1}{x^{2}}] \mathrm {d} x\).

A. 0.5
B. 1.0
C. 1.5
D. 2.0

Question 22 :

• WAEC 2009

If \(P = \begin{vmatrix} 1 & 1 \\ 2 & 1 \end{vmatrix}\), find \((P^{2} + P)\).

A. \(\begin{vmatrix} 4 & 3 \\ 6 & 1 \end{vmatrix}\)
B. \(\begin{vmatrix} 4 & 3 \\ 6 & 4 \end{vmatrix}\)
C. \(\begin{vmatrix} 2 & 2 \\ 6 & 2 \end{vmatrix}\)
D. \(\begin{vmatrix} 3 & 2 \\ 6 & 4 \end{vmatrix}\)

Question 23 :

• WAEC 2009

Which of the following is the semi- interquartile range of a distribution?

A. \(Mode - Median\)
B. \(\text{Highest score - Lowest score}\)
C. \(\frac{1}{2}(\text{Upper quartile - Median})\)
D. \(\frac{1}{2}(\text{Upper quartile - Lower quartile})\)

Question 24 :

• WAEC 2009

A stone is projected vertically with a speed of 10 m/s from a point 8 metres above the ground. Find the maximum height reached. \([g = 10 ms^{-2}]\).

A. 13 metres
B. 15 metres
C. 18 metres
D. 23 metres

Question 25 :

• WAEC 2009

The velocity \(v ms^{-1}\) of a particle moving in a straight line is given by \(v = 3t^{2} - 2t + 1\) at time t secs. Find the acceleration of the particle after 3 seconds.

A. \(26 ms^{-2}\)
B. \(18 ms^{-2}\)
C. \(17 ms^{-2}\)
D. \(16 ms^{-2}\)