Further Mathematics 2016 Waec Past Questions and Answers

Question 36 :

• WAEC 2016

If \(P = {x : -2 < x < 5}\) and \(Q = {x : -5 < x < 2}\) are subsets of \(\mu = {x : -5 \leq x \leq 5}\), where x is a real number, find \((P \cup Q)\).

A. \({x : -5 < x < 5}\)
B. \({x : -5 \leq x \leq 5}\)
C. \({x : -5 \leq x < 5}\)
D. \({x : -5 < x \leq 5}\)

Question 37 :

• WAEC 2016

Express \(\frac{8 - 3\sqrt{6}}{2\sqrt{3} + 3\sqrt{2}}\) in the form \(p\sqrt{3} + q\sqrt{2}\).

A. \(7\sqrt{3} - \frac{17\sqrt{2}}{3}\)
B. \(7\sqrt{2} - \frac{17\sqrt{3}}{3}\)
C. \(-7\sqrt{2} + \frac{17\sqrt{3}}{3}\)
D. \(-7\sqrt{3} - \frac{17\sqrt{2}}{3}\)

Question 38 :

• WAEC 2016

An operation * is defined on the set, R, of real numbers by \(p * q = p + q + 2pq\). If the identity element is 0, find the value of p for which the operation has no inverse.

A. \(\frac{-1}{2}\)
B. \(0\)
C. \(\frac{2}{3}\)
D. \(2\)

Question 39 :

• WAEC 2016

Consider the statements:
p : Musa is short
q : Musa is brilliant
Which of the following represents the statement "Musa is short but not brilliant"?

A. \(p \vee q\)
B. \(p \vee \sim q\)
C. \(p \wedge \sim q\)
D. \(p \wedge q\)

Question 40 :

• WAEC 2016

If \(f(x) = \frac{4}{x} - 1, x \neq 0\), find \(f^{-1}(7)\).

A. \(\frac{-3}{7}\)
B. \(0\)
C. \(\frac{1}{2}\)
D. \(4\)