Waec Further Mathematics 2012 Past Questions and Answers

Question 11:

• WAEC 2012

The equation of a circle is \(3x^{2} + 3y^{2} + 24x - 12y = 15\). Find its radius.

A. 2
B. 3
C. 4
D. 5

Question 12:

• WAEC 2012

If the midpoint of the line joining (1 - k, -4) and (2, k + 1) is (-k, k), find the value of k.

A. -4
B. -3
C. -2
D. -1

Question 13:

• WAEC 2012

Evaluate \(\int_{-2}^{3} (3x^{2} - 2x - 12) \mathrm {d} x\)

A. -30
B. -18
C. -6
D. 6

Question 14:

• WAEC 2012

If \(y = x^{3} - x^{2} - x + 6\), find the values of x at the turning point.

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

Question 15:

• WAEC 2012

Given that \(P = \begin{pmatrix} 2 & 1 \\ 5 & -3 \end{pmatrix}\) and \(Q = \begin{pmatrix} 4 & -8 \\ 1 & -2 \end{pmatrix}\), Find (2P - Q).

A. \(\begin{pmatrix} -6 & 17 \\ 3 & 1 \end{pmatrix}\)
B. \(\begin{pmatrix} -2 & 9 \\ 4 & 1 \end{pmatrix}\)
C. \(\begin{pmatrix} 0 & -6 \\ 9 & -8 \end{pmatrix}\)
D. \(\begin{pmatrix} 0 & 10 \\ 9 & -4 \end{pmatrix}\)