Waec Further Mathematics 2008 Past Questions and Answers

Question 11:

• WAEC 2008

What is the coordinate of the centre of the circle \(5x^{2} + 5y^{2} - 15x + 25y - 3 = 0\)?

A. \((\frac{15}{2}, -\frac{25}{2})\)
B. \((\frac{3}{2}, -\frac{5}{2})\)
C. \((-\frac{3}{2}, \frac{5}{2})\)
D. \((-\frac{15}{2}, \frac{25}{2})\)

Question 12:

• WAEC 2008

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

A. -2
B. 2
C. 8
D. 10

Question 13:

• WAEC 2008

A rectangle has a perimeter of 24m. If its area is to be maximum, find its dimension.

A. 12, 12
B. 6, 6
C. 4, 8
D. 9, 3

Question 14:

• WAEC 2008

Express \(\frac{7\pi}{6}\) radians in degrees.

A. 315°
B. 210°
C. 105°
D. 75°

Question 15:

• WAEC 2008

If \(P = \begin{pmatrix} 1 & -2 \\ 3 & 4 \end{pmatrix}\) and \(Q = \begin{pmatrix} -2 & 3 \\ 1 & 0 \end{pmatrix}\), find PQ.

A. \(\begin{pmatrix} 4 & 1 \\ -2 & 9 \end{pmatrix}\)
B. \(\begin{pmatrix} -4 & 1 \\ 2 & 9 \end{pmatrix}\)
C. \(\begin{pmatrix} -4 & 3 \\ -2 & 13 \end{pmatrix}\)
D. \(\begin{pmatrix} -4 & 3 \\ -2 & 9 \end{pmatrix}\)