**Squares and Square Roots Class 8 Worksheets**.

**Squares and
Square Roots Class 8 Worksheet 1 with Answers**

**1.
**State whether the following statements are
true or false.

a.
1250 is a perfect square.

b.
A perfect square can be negative.

c.
A square number never ends with 2, 3, 7 or 8.

d.
Square of an odd number is always odd and that of an even number is always
even.

**2.
**Find the square of the following:

a. 38

b. –51

c. −47

d. 0.09

**3.
**What will be the ones digit in the square of
the following numbers?

a. 7581

b. 343982

c. 9997

d. 15255

e.
2534

**4.
**Find the smallest number by which 9408 must be
divided so that the quotient is a perfect square. Also find the square root of
the quotient.

**5.
**Find the square root of the following by long
division method.

a. 62500

b. 0.000361

c. 622521

d.
17.64

**6.
**Find the square root of the following using
prime factorisation method.

a. 5929

b. 0.00000256

c. 10.24

d. 3025

**7.
**Find the square root of the following correct
up to three decimal places.

a. 636

b. 315.04

c. 8

d.
4552.36

**8.
**Find the least number that must be added to
1300 so as to get a perfect square. Also, find the square root of the perfect
square.

**9.
**2401 plants are to be planted in a garden in
such a way that each row contains as many plants as the number of rows. Find
the number of rows and the number of plants in each row.

**10.
**Find the greatest 4-digit number which is a
perfect square.

**11.
**Find the least number which is a perfect
square and is also divisible by 8, 15 and 20.

**12.
**Find the perimeter of a square field if its
area is 676 m^{2}.

**13. **There are 500 soldiers in an army. For a
drill, they have to stand in such a way that the number of rows is equal to the
number of columns. How many soldiers would be left out in this arrangement?

**14. **The sum of the squares of two
numbers is 1088. If one number is 8, find the other number.

**15. **What
must be multiplied by 252 to make it a perfect square?

**16.
**What must be added to 724 to make it a perfect
square?

**Squares and
Square Roots Class 8 Worksheet 2 ****with Answers**

**1.
**State whether the following statements are
true or false.

a. The product of
two perfect square numbers is a perfect square.

b.
We should divide 108 by 3 to make it a perfect square.

c.
1000 is a perfect square number.

d.
The sum of two perfect square numbers is a perfect square.

e.
We should multiply 125 by 5 to make it a perfect square.

**2.
**The area of square field is 342.25 m^{2}.
Find the length of its sides.

**3.
**Find the square of the following numbers.

a. 70

b. 0.43

c. 7/2

**4.
**Check whether the following numbers are
perfect numbers or not.

a. 7803

b. 86436

c. 54760

d. 32400

**5.
**Using long division method, find the square
root of the following numbers.

a. 30.25

b. 90.6304

c. 0.3136

**6.
**Find the square root of the following numbers
correct to two decimal places.

a. 115

b. 146

c. 190

d. 135

**7.
**Find the square root of the following using
long division method.

a. 5.0625

b. 0.1225

**8.
**Find the least number by which 1350 must be
multiplied to get a perfect square.

**9.
**Find the square of the following numbers.

a. 6^{1}/_{2}

b. 9^{4}/_{5}

**10.
**Find the least 8-digit number which is a
perfect square.

**11. **Find the smallest number which should be subtracted from 902539 to
make it a perfect square. Also, find the square root of a number.

**12. **A decimal fraction is multiplied by itself to give the product
0.006889. Find the decimal fraction.

**13. **Find the square root of 11 correct to three decimal places and
hence find the square root of 4400.

**14. **If the area of square field is 235.9296 m^{2}, find the
length of each side of the field.

**15. **Find the smallest number by which 19208 should be divided to make
it a perfect square.

**16. **Shivam has 15886 stones which he used to make a square formation,
but in doing so he is left with 10 stones. Find the number of stones in each
row.

**ANSWERS**

**Worksheet
1**

1. a.
False b. False

c. True d. True

2. a.
1444 b. 2601

c. 2209 d. 0.0081

3. a.
1 b. 4

c. 9 d. 5

e. 6

4. 3; 56

5. a.
250 b. 0.019

c. 789 d. 4.2

6. a. 77 b. 0.0016

c. 3.2 d. 55

7. a.
25.219 b. 17.749

c. 2.828 d. 67.471

8. 69; 37

9. 49 rows
and 49 plants in each row

10. 9801

11. 3600

12. 104 m

13. 16 soldiers

14. 32

15. 7

16. 5

**Worksheet
2**

1. a.
True b. True

c. False d. False

e. True

2. 18.5 m

3. a.
4900 b. 0.1849

c. 49/4

4. a.
No b. Yes

c. No
d. Yes

5. a.
5.5 b. 9.52

c. 0.56

6. a.
10.72 b. 12.08

c. 13.78
d. 11.62

7. a.
2.25 b. 0.35

8. 6

9. a. 42^{1}/_{4} b. 96^{1}/_{25}

10. 10004569

11. 39;
950

12.
83/1000

13. 3.317;
66.34

14. 15.36
m

15. 2

16. 126
stones

**MCQs Questions for Class 8 Maths**

Maths Worksheets for Other Chapters of Class 8 |

**1. ****Rational numbers class 8 worksheet**

**2. ****Exponents and powers class 8 worksheet**

**4. ****Cubes and cube roots class 8 worksheets**

**5. ****Playing with numbers class 8 worksheet**

**6. ****Algebraic expressions class 8 worksheet**

**7. ****Factorisation class 8 worksheet**

**8. ****Linear equations in one variable class 8 worksheet**

**9. ****Percentage class 8 worksheets**

**10. ****Compound interest class 8 worksheets**

**11. ****Direct and inverse proportions class 8 worksheets**

**12. ****Understanding quadrilaterals class 8 worksheets**

**13. ****Construction of quadrilaterals class 8 worksheet**

**14. ****Perimeter and area class 8 worksheets**

**15. ****Surface area and volume class 8 worksheets**

**16. ****Data handling class 8 worksheets**

**17. ****Probability class 8 worksheets**

**Some Extra Worksheets for ICSE Maths Class 8**

Maths Worksheets for Other Classes |