Question 2 :
Express the following as a rational number i.e. in the form $\displaystyle \frac{a}{b};$ where a, $\displaystyle b\in I$ and $\displaystyle b\neq 0.$ <br> $\displaystyle0.03\overline{84}$.<br/><br/>
Question 5 :
Convert the following fraction into simple decimal recurring form.<br/>$\displaystyle \frac{5}{6}$ = ?
Question 10 :
Solve for x :$\displaystyle 2^{5x - 1} = 4 \times 2^{3x + 1}$<br/>
Question 11 :
The value of $\left (\left (\left (\left (4\right )^{2}\right )^{1/2}\right )^{2}\right )^{1/2}$ is ________.
Question 12 :
State true or false:<br/>$\displaystyle \left ( \frac{2}{3} \right )^{4} \div \left ( \frac{2}{3} \right )^{6} = \left ( \frac{2}{3} \right )^{2}$
Question 19 :
If the equation $(a^{2} + b^{2})x^{2} - 2(ac + bd)x + (c^{2} + d^{2}) = 0$ has equal roots, then which one of the following is correct?<br>
Question 20 :
If $7^{10}= 7 \times 7^n$, what is the value of $n$?
Question 25 :
Suppose ${ 4 }^{ a }=5,{ 5 }^{ b }=6,{ 6 }^{ c }=7,{ 7 }^{ d }=8$, then the value of $abcd$ is ?
Question 38 :
If$\displaystyle \sqrt{\frac{\left ( 4+\sqrt{x+3} \right )^{2}}{6}+3}=3$ then x is equal to
Question 42 :
A computer is programmed to add $3$ to the number $N$, multiply the result by $3$, subtract $3$, and divide this result by $3$. The computer answer will be
Question 43 :
If $\cfrac { \sqrt { 7 } -1 }{ \sqrt { 7 } +1 } -\cfrac { \sqrt { 7 } +1 }{ \sqrt { 7 } -1 } =a+b\sqrt { 7 } $, then find the values of $a$ and $b$
Question 44 :
If $a = \displaystyle \frac{\sqrt{3}-\sqrt{2}}{\sqrt{3}+\sqrt{2}}$ and $b  = \displaystyle \frac{\sqrt{3}+\sqrt{2}}{\sqrt{3}-\sqrt{2}}$, find the value $a^2+b^2-5ab$.
Question 45 :
Find the square root of $x^{4} - 2x^{3} + 3x^{2} - 2x + 1$ using the division method
Question 46 :
The fraction $\displaystyle \frac{2(\sqrt{2} + \sqrt{6})}{3 (\sqrt{2+ \sqrt{3}})}$ is equal to _________
Question 47 :
State whether the following statement is True or False<br>The conjugate of $x\sqrt {a} + y\sqrt {b}$ is $x\sqrt {a} - y\sqrt {b}$
