Waec Further Mathematics 2013 Past Questions and Answers

Question 31:

• WAEC 2013

If \(2\sin^{2}\theta = 1 + \cos \theta, 0° \leq \theta \leq 90°\), find \(\theta\).

A. 30°
B. 45°
C. 60°
D. 90°

Question 32:

• WAEC 2013

Find the upper quartile of the following scores: 41, 29, 17, 2, 12, 33, 45, 18, 43 and 5.

A. 45
B. 41
C. 33
D. 21

Question 33:

• WAEC 2013

Given that \(P = \begin{pmatrix} 3 & 4 \\ 2 & x \end{pmatrix}; Q = \begin{pmatrix} 1 & 3 \\ -2 & 4 \end{pmatrix}; R = \begin{pmatrix} -5 & 25 \\ -8 & 26 \end{pmatrix}\) and PQ = R, find the value of x.

A. -5
B. -2
C. 2
D. 5

Question 34:

• WAEC 2013

Two out of ten tickets on sale for a raffle draw are winning tickets. If a guest bought two tickets, what is the probability that both tickets are winning tickets?

A. \(\frac{1}{80}\)
B. \(\frac{1}{45}\)
C. \(\frac{1}{20}\)
D. \(\frac{1}{10}\)

Question 35:

• WAEC 2013

P and Q are the points (3, 1) and (7, 4) respectively. Find the unit vector along PQ.

A. \(\begin{pmatrix} 4 \\ 3 \end{pmatrix}\)
B. \(\begin{pmatrix} 0.6 \\ 0.8 \end{pmatrix}\)
C. \(\begin{pmatrix} 0.8 \\ 0.6 \end{pmatrix}\)
D. \(\begin{pmatrix} -0.8 \\ 0.6 \end{pmatrix}\)