Waec Further Mathematics 2007 Past Questions and Answers

Question 6:

• WAEC 2007

Two functions f and g are defined on the set R of real numbers by $f:x\to 2x-1$ and $g:x\to x^2+1$. Find the value of $f^{-1}\circ g(3)$.

A. 12
B. 11
C. $\frac{11}{2}$
D. $\frac{9}{2}$

Question 7:

• WAEC 2007

The gradient of the line passing through the points P(4, 5) and Q(x, 9) is $\frac{1}{2}$. Find the value of x.

A. -4
C. 4
D. 12

Question 8:

• WAEC 2007

Simplify $\frac{\sqrt{3}}{\sqrt{3}-1}+\frac{\sqrt{3}}{\sqrt{3}-1}$

A. $\frac{1}{2}$
B. $\frac{1}{2}\sqrt{3}$
C. $3$
D. $2\sqrt{3}$

Question 9:

• WAEC 2007

Simplify $\frac{\tan 80°-\tan 20°}{1+\tan 80°\tan 20°}$

A. $3\sqrt{2}$
B. $2\sqrt{3}$
C. $\sqrt{3}$
D. $\sqrt{2}$

Question 10:

• WAEC 2007

The binary operation * is defined on the set of R, of real numbers by $x\ast y=3x+3y-xy,\mathrm{\forall }x,y\in R$. Determine, in terms of x, the identity element of the operation.

A. $\frac{2x}{x-3},x\ne 3$
B. $\frac{2x}{x+3},x\ne -3$
C. $\frac{3x}{x-3},x\ne 3$
D. $\frac{3x}{x+3},x\ne -3$