Squares of Numbers between 25 and 75

Q. How to solve hard sums like 9(10 to the power9)(1.6 whole square)((10to the power minus 19)2 )divided by 5.3 (10 to the power minus 11)

Q.

How many numbers lie between squares of the following numbers?

$\left(i\right)12$ and $13$

$\left(ii\right)25$and $26$

$\left(iii\right)99$ and $100$

Q. The difference between the two squares of two consecutive numbers is 31find the number

Q. What is the value of ${56}^2$? Solve by diagonal method.

1. 3036
2. 3136
3. 3316
4. 3616

Q. In order to find the square of 53 by Visual method, find out the area of the yellow and purple shaded portions respectively.

1. 2500 sq.units, 9 sq.units
2. 9 sq. units, 2500 sq. units
3. 150 sq. units, 9 sq.units
4. 50 sq. units, 3 sq. units

Q.

How to find squares of any number by diagonal and column method?

Q. m^2-4mn+4n^2

Q. Complete the magic square:

	14		0
8		6	11
4		.	7
	2	1	12

Q. Tick (✓) the correct answer:
In a square ABCD, AB = (2x + 3) cm and BC = (3x − 5) cm. Then, the value of x is
(a) 4
(b) 5
(c) 6
(d) 8

Q.

Find 90's square using the proximity method(method to find squares between 75-125).

Q.

Match the numbers in the column A with their squares in the column B:

A				B	Answer
_____				_____	____
(1)		5	(a)	25	(1) _____
(2)		8	(b)	144	(2) _____
(3)		2	(c)	36	(3) _____
(4)		–6	(d)	484	(4) _____
(5)		–22	(e)	64	(5) _____
(6)		12	(f)	4	(6) _____
			(g)	121

Q. Which of the following is the difference between the squares of 12 and 13?

1. 15
2. 25
3. 20
4. 30

Q.

Find the squares of the following number:

86

Q. Which of the following is a perfect square?

1. 17
2. 24
3. 54
4. 64

Q. Using factorization method, find the square root of $\sqrt{(x^2+10x-39{)}^2}$.

1. $\left|\right(x-3\left)\right(x-13\left)\right|$
2. $\left|\right(x-3\left)\right(x+13\left)\right|$
3. $(x-3)(x+13)$
4. $\left|\right(x+3\left)\right(x+13\left)\right|$

Q.

Square root of 666*667*668*669+1

Q. Which of the following is not a perfect square?

1. 100
2. 81
3. 64
4. 47

Q. Find the value of ${35}^2+{47}^2$.

1. $1454$
2. $2834$
3. $3434$
4. $3439$

Q. Square of any number from 25 to 75 can be found by following three simple steps:-

Step 1:- Subtracting 25 from the number.
Step 2:- Subtracting the number from $x$ and then taking the square of it.
Step 3:- Combining the results obtained in step 1 and step 2.

What is the value of $x$ ?

1. 25
2. 50
3. 75
4. 100

Q. Square of any number from 25 to 75 can be found by following three simple steps:-

Step 1:- Subtracting 25 from the number.
Step 2:- Subtracting the number from $x$ and then taking the square of it.
Step 3:- Combining the results obtained in step 1 and step 2.

What is the value of $x$ ?

1. 25
2. 50
3. 75
4. 100