Waec Further Mathematics 2012 Past Questions and Answers

Question 41:

• WAEC 2012

Simplify $\frac{x^{3n+1}}{x^{2n+\frac{5}{2}}(x^{2n-3}{)}^{\frac{1}{2}}}$

A. $0$
B. $-\frac{1}{2}$
C. $1$
D. $10$

Question 42:

• WAEC 2012

Two functions g and h are defined on the set R of real numbers by $g:x\to x^2-2$ and $h:x\to \frac{1}{x+2}$. Find :
(a) $h^{-1}$, the inverse of h ;
(b) $g\circ h$, when $x=-\frac{1}{2}$.

Question 43:

• WAEC 2012

Express $3x^2-6x+10$ in the form $a(x-b{)}^2+c$, where a, b and c are integers. Hence state the minimum value of $3x^2-6x+10$ and the value of x for which it occurs.

Question 44:

• WAEC 2012

The twenty-first term of an Arithmetic Progression is $5\frac{1}{2}$ and the sum of the first twenty-one terms is $94\frac{1}{2}$. Find the :
(a) first term ; (b) common difference ; (c) sum of the first thirty terms.

Question 45:

• WAEC 2012

Write down the first three terms of the binomial expansion $(1+ax{)}^n$ in ascending powers of x. If the coefficients of x and x${}^2$ are 2 and $\frac{3}{2}$ respectively, find the values of a and n.