Question 2 :
The product of $(2x^2 -3x + 1)$ and (x -3) is.equal to
Question 4 :
Simplify the following: <br/>$(\sqrt{3}-\sqrt{2})^{2}$ is equal to $5-2\sqrt{6}$<br/> If true then enter $1$ and if false then enter $0$<br/>
Question 5 :
$(2x + 3y)^{2} = 4x^{2} + 9y^{2} + M$, find M.<br/>
Question 7 :
Which of the following are like algebraic terms? $-4pq,5x{ y }^{ 2 },6ab,0.7pq,9abc,3xy,-{ x }^{ 2 }yz$.
Question 11 :
Given the polynomial $a_{0}x^{n} + a_{1}x^{n - 1} + ... + a_{n - 1}x + a_{n}$, where $n$ is a positive integer or zero, and $a_{0}$ is a positive integer. The remaining $a's$ are integers or zero. Set$h = n + a_{0} + |a_{1}| + |a_{2}| + .... + |a_{n}|$. The number of polynomials with $h = 3$ is
Question 12 :
The value of$\displaystyle \left ( x-y \right )^{3}+\left ( x+y \right )^{3}+3\left ( x-y \right )^{2}\left ( x+y \right )+3\left ( x+y \right )^{2}\left ( x-y \right )$ is
Question 15 :
If $x+y=a $ and $xy=b$, then the value of $\displaystyle \frac{1}{x^{3}}+\frac{1}{y^{3}} $ is
Question 17 :
IF 6 kg of sugar and 5 kg of tea together cost RS.209 and 4 kg of sugar and 3 kg of tea together cost RS. 131. then the cost of 1 kg sugar and 1 kg tea are respectovely
Question 18 :
The numerator of a fraction is $5$ less than its denominator. If $3$ is added to the numerator and denominator both, the fraction becomes $\dfrac{4}{5}$. Find the original fraction.
Question 19 :
A bag contains Rs. $90$ in coins. If coins of $50$ paise, $25$ paise, and $10$ paise are in the ratio $2 : 3: 5$, the number of $25$ paise coins in the bag is
Question 20 :
A person bought 5 tickers from a station P to a station Q and 10 tickets from the station P to a station R. He paid Rs 350. If the sum of a ticket from P to Q and a ticket from P to R is Rs 42, then what is the fare from P to Q?
Question 22 :
A person was asked to state his age in years. His reply was "Take my age three years hence multiply it by $3$ and then subtract three times my age $3$ years ago and you will know how old I am." What was the age of the person? 
Question 23 :
If $\sqrt[3]{5j - 7} = -\cfrac{1}{2}$, calculate the value of $j$.<br/>
Question 24 :
Instead of multiplying a given number by $\dfrac {8}{19}$, a student divided it by $\dfrac {8}{19}$. His answer was $297$ more than the correct answer. The given number is
Question 25 :
Ten years ago a father was six times as old as his daughter. After $10$ years, he will be twice as old as his daughter. Determine their present age.
Question 26 :
The budget for the annual day function of a school was Rs. $60,000$, out of which Rs. $14,500$ was paid to the tent house, Rs. $10,400$ to the band party and Rs. $5,000$ for refreshments. How much money was left over after meeting the expenses?
Question 28 :
State true or false:The root of the equation $\dfrac{y}{2}+6 = y$ is $\dfrac{1}{\sqrt{2}}$.<br/>
Question 30 :
If $\cfrac{7}{m-\sqrt{3}} = \cfrac{\sqrt{3}}{m} + \cfrac{4}{2m}$, calculate the value of $m$.
