Question 1 :
By repeated subtraction of odd numbers starting from 1, find whether 121 is a perfect square or not? If it is, then find it's square root.
Question 2 :
A king wanted to reward his advisor, a wiseman of the kingdom. So he asked the wiseman to name his own reward. The wiseman thanked the king but said that he would only ask 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 4 :
Is 7928 a perfect square number? Decide by looking at it's one's digit.
Question 5 :
What is the square root of 169? Find by the method of repeated subtraction.
Question 6 :
Will the square of 1980 be an odd number or an even number?
Question 8 :
What is the least number which must be added to 1750 so as to get a perfect square?
Question 9 :
What will be the 'one's digit' in the square of 21222?
Question 12 :
What is the least number which must be subtracted from 1989 to get a perfect square?
Question 13 :
In a right angle triangle ABC, $\angle B$ = 90°. If AB = 6 cm, BC = 8 cm, find AC.
Question 15 :
What is the smallest square number that is divisible by each of the numbers 8, 15 and 20?
Question 16 :
By which smallest whole number should 1620 be divided so as to get a perfect square?
Question 18 :
How many numbers lie between squares of the 25 and 26?
Question 19 :
If in a right triangle ABC, $\angle B$ = ${90}^\circ$, AC = 13 cm, BC = 5 cm, what is AB?
Question 20 :
State true or false. The sum of first n odd natural numbers is $n^2$.
Question 21 :
Find the square root of 729 by the Prime Factorisation Method.
Question 23 :
What could be the possible one's digit of the square root of 99856?
Question 24 :
Is 1069 a perfect square number? Decide by looking at it's one's digit.
Question 25 :
Will the square of 158 be an odd number or an even number?
Question 27 :
What is the length of a diagonal of a rectangle with dimensions 20 m by 15 m?
Question 28 :
What is the square root of 2304? Find out by division method.
Question 29 :
What is the square root of 729? Calculate by prime factorization method.
Question 30 :
Rahul walks 12 m North from his house and turns West to walk 35 m to reach his friend's house. While returning, he walks diagonally from his friend's house to reach back to his house. What distance did he walk while returning?