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
MCQs Questions for Class 8 Maths
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| 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
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