Waec Further Mathematics Past Questions and Answers

Question 311:

• WAEC 2008

A body starts from rest and moves in a straight line with uniform acceleration of \(5 ms^{-2}\). How far, in metres, does it go in 10 seconds?

A. 50 m
B. 250 m
C. 350 m
D. 500 m

Question 312:

• WAEC 2008

If n items are arranged two at a time, the number obtained is 20. Find the value of n.

A. 5
B. 10
C. 15
D. 40

Question 313:

• WAEC 2008

If \(p = \begin{pmatrix} 2 \\ -2 \end{pmatrix} \) and \(q = \begin{pmatrix} 3 \\ 4 \end{pmatrix}\), find \(|q - \frac{1}{2}p|\).

A. \(2\sqrt{2}\)
B. \(\sqrt{13}\)
C. \(5\)
D. \(\sqrt{29}\)

Question 314:

• WAEC 2008

Find the value of the constant k for which \(a = 4 i - k j\) and \(b = 3 i + 8 j\) are perpendicular.

A. \(\frac{2}{3}\)
B. 2
C. 3
D. \(\frac{3}{2}\)

Question 315:

• WAEC 2008

The initial and final velocities of an object of mass 5 kg are \(u = \begin{pmatrix} 1 \\ 3 \end{pmatrix}\) and \(v = \begin{pmatrix} 4 \\ 7 \end{pmatrix}\) respectively. Find the magnitude of its change in momentum.

A. 25
B. 15
C. \(3\sqrt{7}\)
D. \(\sqrt{10}\)