Waec Further Mathematics Past Questions and Answers

Question 511:

• WAEC 2011

(a) $m\left(\begin{array}{c}2\\ 1\end{array}\right)+n\left(\begin{array}{c}-1\\ 2\end{array}\right)=\left(\begin{array}{c}5\\ -4\end{array}\right)$ 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 $\mathrm{\Delta }$ ABC.
(i) Express in column notation, the unit vectors parallel to AB and AC.
(ii) Use a dot product to calculate $\stackrel{⌢}{BAC}$, correct to the nearest degree.

Question 512:

• WAEC 2012

Which of the following sets is equivalent to $(P\cup Q)\cap (P\cup Q^{\prime })$?

A. P
B. $P\cap Q$
C. $P\cup Q$
D. $\mathrm{\varnothing }$

Question 513:

• WAEC 2012

Which of the following sets is equivalent to $(P\cup Q)\cap (P\cup Q^{\prime })$?

A. P
B. $P\cap Q$
C. $P\cup Q$
D. $\mathrm{\varnothing }$

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 $x^2-2x\ge 3$

A. $-1\le x\le 3$
B. $x\ge 3$ and $x\le -1$
C. $x\ge 3$ or $x<-1$
D. $-1\le x<3$