Question 1 :
The number whose square is equal to the difference of the squares of 75.15 and 60.12 is 
Question 6 :
Divide the first expression by the second. Write the quotient and the remainder.<br/>$\displaystyle x^2-\frac{1}{4x^2}; x-\frac{1}{2x}$
Question 8 :
Divide the first polynomial by the second polynomial and express as Divided = Divisor x quotient + Reminder$x^3 -5x^2+4x+8\, ; \, x+2$
Question 9 :
If $x\ne -5$ , then the expression $\cfrac{3x}{x+5}\div \cfrac {6}{4x+20}$ can be simplified to
Question 12 :
If $x^{5} - 9x^{2} + 12x - 14$ is divisible by $(x - 3)$, what is the remainder?
Question 13 :
Give possible values for length and breadth of the rectangle whose area is $2x^{2} + 9x - 5$
Question 14 :
State whether True or False.Divide: $ -14x^6y^3-21x^4y^5+7x^5y^4 $ by $ 7x^2y^2$, then answer is $-2x^4y-3x^2y^3+x^3y^2$.<br/>
Question 15 :
State whether True or False.Divide: $ 8x-10y+6c  $ by $ 2 $, then the answer is $4x-5y+3c $.<br/>
Question 19 :
State whether True or False.Divide: $ 3ax-6bx-15x $ by $ -3x $, then the answer is $-a+2b+5 $.<br/>
Question 23 :
Divide: $(x^{4} - y^{4})$ by $(x- y)$. Is $(x-y)$ a factor of $(x^{4}-y^{4})$?<br/>
Question 25 :
Give possible expression for the length and breadth of the rectangle whose area is : $25a^{2} - 35a + 12$
Question 32 :
What is $\dfrac {x^{2} - 3x + 2}{x^{2} - 5x + 6} \div \dfrac {x^{2} - 5x + 4}{x^{2} - 7x + 12}$ equal to
Question 35 :
Factorise completely and state whether the answer is True or False.$625 - x^4$ is $(25 + x^2) (5 + x) (5 - x)$
Question 36 :
Which of the following should be added to $9x^3+6x^2+x+2$ so that the sum is divisible by (3x+1) ?<br/>
Question 39 :
State whether the following statement is true or false:$\left( 2p-3q \right) ^{ 2 }$ =$4p^{2}+9q^{2}-12pq$
Question 45 :
Which of following is the simplified form of the expression<br/>$\dfrac {12x^{3}y^{2} - 9x^{2}y}{6x^{4}y + 18x^{3}y^{3}}$<br/>
Question 46 :
State True or False.$x^2-\dfrac {y^2}{100}$ <br> $ \ = \ (x+\dfrac y{10})(x-\dfrac y{10})$<br/>
Question 49 :
If $\left( x-2 \right) \left( x+3 \right) ={ x }^{ 2 }-4$, the value of $x$ is
Question 50 :
Solve the quadratic equation $9{x^2} - 15x + 6 = 0$ by the method of completing the square.