Waec Further Mathematics 2009 Past Questions and Answers

Question 41:

• WAEC 2009

In the diagram, a ladder PS leaning against a vertical wall PR makes angle x° with the horizontal floor. The ladder slides down to a point QT such that angle QTR = 30° and SNT = y°. Find an expression for tan y.

A. $\frac{\sqrt{3}\tan x-1}{\sqrt{3}+\tan x}$
B. $\frac{\sqrt{3}\tan x}{\sqrt{3}+\tan x}$
C. $\frac{\sqrt{3}\tan x+1}{\sqrt{3}-\tan x}$
D. $\frac{3\tan x-1}{\sqrt{3}-\tan x}$

Question 42:

• WAEC 2009

(a) Solve : $2x^2+x-6<0$
(b) Express $\frac{5-2\sqrt{10}}{3\sqrt{5}+\sqrt{2}}$ in the form $m\sqrt{2}+n\sqrt{5}$ where m and n are rational numbers.

Question 43:

• WAEC 2009

Solve the simultaneous equations : ${\log }_{2}x-{\log }_{2}y=2;{\log }_2(x-2y)=3$

Question 44:

• WAEC 2009

If the quadratic equation $(x+1)(x+2)=k(3x+7)$ has equal roots, find the possible values of the constant k.

Question 45:

• WAEC 2009

Given that $\tan 2A=\frac{2\tan A}{1-{\tan }^{2}A}$, evaluate $\tan 15°$, leaving your answer in surd form.