Question 1 :
Find the smallest perfect square divisible by 3, 4, 5 and 6.

Question 2 :
State true or false: Squares and cubes of odd numbers are odd.

Question 3 :
Number obtained when a number is multiplied by itself is called

Question 4 :
Find the smallest number by which 1620 must be divided to get a perfect square.

Question 5 :
State true or false: A perfect square can always be expressed as the product of pairs of prime factors.

Question 6 :
The hypotenuse of a right triangle with its legs of lengths 3x × 4x is

Question 7 :
Using prime factorisation, find which of the following is perfect squares.

Question 8 :
Using prime factorisation, find which of the following is perfect squares.

Question 9 :
Square root of a number x is denoted by $\sqrt{x}$ . Is it true or false ?

Question 10 :
All numbers of a pythagorean triplet are odd. Is it true or false ?

Question 11 :
The cube of 0.4 is 0.064. Is it true or false ?

Question 12 :
The sum of first n odd natural numbers is $n^2$. Is it true or false ?

Question 13 :
If x and y are integers such that $x^2$ > $y^2$, then $x^3$ > $y^3$. Is it true or false ?

Question 14 :
The area of a square plot is $101\frac{1}{400}$ $m^2$. Find the length of one side of the plot.

Question 15 :
A number having 7 at its ones place will have 3 at the units place of its square. Is it true or false ?

Question 16 :
By what smallest number should 3600 be multiplied so that the quotient is a perfect cube?

Question 17 :
A king wanted to reward his advisor, a wise man of the kingdom. So he asked the wiseman to name his own reward. The wiseman thanked the king but said that he would ask only for some gold coins each day for a month. The coins were to be counted out in a pattern of one coin for the first day, 3 coins for the second day, 5 coins for the third day and so on for 30 days. Without making calculations, find how many coins will the advisor get in that month?

Question 18 :
There are five perfect cubes between 1 and 100. Is it true or false ?