There are 2n Non Perfect Square Numbers Between the Squares of the Numbers n and (n+1)

Q. How many natural numbers lie between ${111}^2$ and ${112}^2$ ?

1. 243
2. 300
3. 222
4. 250

Q. How many non square numbers lie between ${90}^2$ and ${91}^2$ ?

1. 180
2. 164
3. 184
4. 160

Q.

How many natural numbers lie between 9² and 10²?

1. 9

2. 18

3. 27

4. 36

Q. There are 16 non-perfect square numbers between the square of the numbers $n$ and $(n+1)$. Find $(n+1{)}^2$.

1. 64
2. 91
3. 81
4. 100

Q.

Question 9 (i)
How many numbers lie between squares of the following numbers?

12 and 13

Q.

Express $51$as sum of three odd numbers.

Q.

Question 9 (i)
How many numbers lie between squares of the following numbers?

12 and 13

Q. Which among ${43}^2,{67}^2,{52}^2,{59}^2$ would end with digit $1$?
[2 marks]
[Properties of Square Numbers]

Q.

Question 9 (iii)
How many numbers lie between squares of the following numbers?

99 and 100

Q.

What is the rule to find the number of numbers between perfect squares? [2 MARKS]

Q. If a natural number 'm' can be expressed as $n^2$, where n is a number, then 'm' is a square number.

1. decimal
2. natural
3. whole

Q.

If a natural number 'm' can be expressed as $n^2$, where n is a ___ number, then 'm' is a square number.

1. integer
2. negative

3. decimal

4. natural

Q. Total number of natural numbers between the following will be:

1. 24
2. 16
3. 20
4. 58

Q. The numbers that end in 2, 3, 7 or 8 are called ______ squared numbers.

1. perfect
2. non-perfect
3. rational
4. real

Q.

Question 9 (ii)
How many numbers lie between squares of the following numbers?

25 and 26

Q. State whether the statements are true (T) or false (F).
There is no square number between 50 and 60.

1. True
2. False

Q. The sum of first 12 odd numbers is 144.

1. False
2. True

Q. Total number of natural numbers between the following will be:

1. 24
2. 16
3. 20
4. 58

Q. There will be 2n natural numbers between $n^2$ and $(n+2{)}^2$

1. False
2. True

Q.

The total number of non-square natural numbers between ${16}^2$ and ${17}^2$ $=a\times b=c$. What is the value of $a$, $b$ and $c$ respectively?

1. 2, 17, 34

2. 2, 16, 32

3. 2, 15, 30

4. None of these