Waec Further Mathematics Past Questions and Answers

Question 511:

• WAEC 2011

(a) \(m \begin{pmatrix} 2 \\ 1 \end{pmatrix} + n \begin{pmatrix} -1 \\ 2 \end{pmatrix} = \begin{pmatrix} 5 \\ -4 \end{pmatrix}\) where m and n are scalars. Find the value of (m + n).
(b) A(-1, 3), B(2, -1) and C(5, 3) are the vertices of \(\Delta\) ABC.
(i) Express in column notation, the unit vectors parallel to AB and AC.
(ii) Use a dot product to calculate \(\stackrel \frown{BAC}\), correct to the nearest degree.

Question 512:

• WAEC 2012

Which of the following sets is equivalent to \((P \cup Q) \cap (P \cup Q')\)?

A. P
B. \(P \cap Q\)
C. \(P \cup Q\)
D. \(\emptyset\)

Question 513:

• WAEC 2012

Which of the following sets is equivalent to \((P \cup Q) \cap (P \cup Q')\)?

A. P
B. \(P \cap Q\)
C. \(P \cup Q\)
D. \(\emptyset\)

Question 514:

• WAEC 2012

Simplify: \(\frac{\cos 2\theta - 1}{\sin 2\theta}\)

A. \(-\tan \theta\)
B. \(-\cos \theta\)
C. \(\tan \theta\)
D. \(\cos \theta\)

Question 515:

• WAEC 2012

Solve the inequality \(x^{2} - 2x \geq 3\)

A. \(-1 \leq x \leq 3\)
B. \(x \geq 3\) and \(x \leq -1\)
C. \(x \geq 3\) or \(x < -1\)
D. \(-1 \leq x < 3\)