Waec Further Mathematics Past Questions and Answers

Question 226:

• WAEC 2007

Given that \(P = \begin{pmatrix} 4 & 9 \end{pmatrix}\) and \(Q = \begin{pmatrix} -1 & -2 \\ 3 & 2 \end{pmatrix}\). Which of the following operations is possible?

A. \(QP\)
B. \(P^{2}\)
C. \(Q^{2}P\)
D. \(PQ\)

Question 227:

• WAEC 2007

Given that \(P = \begin{pmatrix} 4 & 9 \end{pmatrix}\) and \(Q = \begin{pmatrix} -1 & -2 \\ 3 & 2 \end{pmatrix}\). Evaluate \(|Q|P\).

A. \(\begin{pmatrix} 16 & 36 \end{pmatrix}\)
B. \(\begin{pmatrix} 8 & 18 \end{pmatrix}\)
C. \(\begin{pmatrix} 8 & 0 \end{pmatrix}\)
D. \(\begin{pmatrix} 1 & 2 \end{pmatrix}\)

Question 228:

• WAEC 2007

The equation of a circle is given by \(x^{2} + y^{2} - 4x - 2y - 3\). Find the radius and the coordinates of its centre.

A. \(3, (-1, 2)\)
B. \(2\sqrt{2}, (2, -1)\)
C. \(2\sqrt{2}, (2, 1)\)
D. \(9, (2, 1)\)

Question 229:

• WAEC 2007

Simplify \(\frac{^{n}P_{3}}{^{n}C_{2}} + ^{n}P_{0}\)

A. N - 5
B. N - 3
C. 2n - 1
D. 2n - 3

Question 230:

• WAEC 2007

X and Y are two independent event. If \(P(X) = \frac{1}{5}\) and \(P(X \cap Y) = \frac{2}{15}\), find \(P(Y)\).

A. \(\frac{2}{3}\)
B. \(\frac{2}{5}\)
C. \(\frac{1}{3}\)
D. \(\frac{1}{5}\)