Waec Further Mathematics 2008 Past Questions and Answers

Question 36:

• 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 37:

• 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. \(\sqrt{10}\)

Question 38:

• WAEC 2008

If \(y = x^{2} - 6x + 11\) is written in the form \(y = a(x - h)^{2} + k\), find the value of \((a + h + k)\).

A. -4
B. -3
D. 6

Question 39:

• WAEC 2008

The distance between P(x, 7) and Q(6, 19) is 13 units. Find the values of x.

A. 1 or -7
B. 1 or 7
C. 1 or 11
D. 5 or -5

Question 40:

• WAEC 2008

In the diagram above, forces P, Q and 50N are acting on a body at M. If the system is in equilibrium, calculate, in terms of \(\theta\), the magnitude of P.

A. \(\frac{50 \cos \theta}{\sin (\theta + 45)°}\)
B. \(\frac{50 \cos \theta}{\cos (\theta + 45)°}\)
C. \(\frac{50 \sin \theta}{\cos (\theta + 45)°}\)
D. \(\frac{50 \sin \theta}{\sin (\theta + 45)°}\)