Further Mathematics 2013 Waec Past Questions and Answers

Question 1 :

• WAEC 2013

A binary operation * is defined on the set of real numbers, R, by \(x * y = x + y - xy\). If the identity element under the operation * is 0, find the inverse of \(x \in R\).

A. \(\frac{-x}{1 - x}, x \neq 1\)
B. \(\frac{1}{1 - x}, x \neq 1\)
C. \(\frac{-1}{1 - x}, x \neq 1\)
D. \(\frac{x}{1 - x}, x \neq 1\)

Question 2 :

• WAEC 2013

A binary operation * is defined on the set of real numbers, R, by \(x * y = x + y - xy\). If the identity element under the operation * is 0, find the inverse of \(x \in R\).

A. \(\frac{-x}{1 - x}, x \neq 1\)
B. \(\frac{1}{1 - x}, x \neq 1\)
C. \(\frac{-1}{1 - x}, x \neq 1\)
D. \(\frac{x}{1 - x}, x \neq 1\)

Question 3 :

• WAEC 2013

Solve: \(\sin \theta = \tan \theta\)

A. 200°
B. 90°
C. 60°
D. 0°

Question 4 :

• WAEC 2013

Given that \(a^{\frac{5}{6}} \times a^{\frac{-1}{n}} = 1\), solve for n.

A. -6.00
B. -1.20
C. 0.83
D. 1.20

Question 5 :

• WAEC 2013

Express \(\log \frac{1}{8} + \log \frac{1}{2}\) in terms of \(\log 2\).

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