Squares and Square Roots Class 8 Worksheets

# Squares and Square Roots Class 8 Worksheets

Let us solve these 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 m2.

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 m2. 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. 61/2

b. 94/5

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 m2, 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.

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. 421/4     b. 961/25

10. 10004569

11. 39; 950

12. 83/1000

13. 3.317; 66.34

14. 15.36 m

15. 2

16. 126 stones

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