Waec Further Mathematics 2013 Past Questions and Answers

Question 16:

• WAEC 2013

Given that \(P = \begin{pmatrix} y - 2 & y - 1 \\ y - 4 & y + 2 \end{pmatrix}\) and |P| = -23, find the value of y.

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

Question 17:

• WAEC 2013

An object is thrown vertically upwards from the top of a cliff with a velocity of \(25ms^{-1}\). Find the time, in seconds, when it is 20 metres above the cliff. \([g = 10ms^{-2}]\).

A. 0 and 1
B. 0 and 4
C. 0 and 5
D. 1 and 4

Question 18:

• WAEC 2013

Evaluate \(\int_{0}^{2} (8x - 4x^{2}) \mathrm {d} x\).

A. \(-16\)
B. \(\frac{-16}{3}\)
C. \(\frac{16}{3}\)
D. \(16\)

Question 19:

• WAEC 2013

Find the coordinates of the point which divides the line joining P(-2, 3) and Q(4, 9) internally in the ratio 2 : 3.

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

Question 20:

• WAEC 2013

The angle subtended by an arc of a circle at the centre is \(\frac{\pi}{3} radians\). If the radius of the circle is 12cm, calculate the perimeter of the major arc.

A. \(4(6 + 5\pi)\)
B. \(4(6 + 2\pi)\)
C. \(4(3 + 3\pi)\)
D. \(4(3 + 5\pi)\)