Waec Further Mathematics Past Questions and Answers

Question 271:

• 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 272:

• WAEC 2006

If \((x - 3)\) is a factor of \(2x^{3} + 3x^{2} - 17x - 30\), find the remaining factors.

A. (2x - 5)(x - 2)
B. (2x - 5)(x + 2)
C. (2x + 5)(x - 2)
D. (2x + 5)(x + 2)

Question 273:

• WAEC 2008

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

A. 315°
B. 210°
C. 105°
D. 75°

Question 274:

• WAEC 2006

Two functions f and g are defined by \(f : x \to 3x - 1\) and \(g : x \to 2x^{3}\), evaluate \(fg(-2)\).

A. -49
B. -47
C. -10
D. -9

Question 275:

• 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. \(\begin{pmatrix} -4 & 3 \\ -2 & 9 \end{pmatrix}\)