# Class 8 Maths Squares and Square Roots Worksheets – PDF

Download free pdf of Squares and Square Roots Worksheets for Class 8. Students can easily get all the Class 8 Maths Worksheets and Exercises in Free Printable ( PDF Format) as per the latest syllabus and examination pattern in CBSE and NCERT pattern. Below you will find all the Squares and Square Roots related sums that are asked in 8th Grade Mathematics Exams Across Indian Schools.

## Squares and Square Roots Worksheets for Class 8 in PDF Format

### Important Questions with Answers For Class 8 Maths Chapter 6 (Squares and Square Roots)

Questions:

1. Find the square of 12.
2. Find the square root of 144.
3. What is the square of 25?
4. Find the square root of 169.
5. Simplify: √(64 + 36).
6. What is the value of √(81) – √(9)?
7. If the area of a square is 100 square centimeters, what is the length of each side?
8. What is the value of 15² – 10²?
9. If the side of a square is 5 centimeters, what is the area of the square?
10. Simplify: √(25) + √(16).

1. The square of 12 is 144.
2. The square root of 144 is 12.
3. The square of 25 is 625.
4. The square root of 169 is 13.
5. √(64 + 36) = √(100) = 10.
6. √(81) – √(9) = 9 – 3 = 6.
7. If the area of a square is 100 square centimeters, the length of each side is 10 centimeters.
8. 15² – 10² = 225 – 100 = 125.
9. If the side of a square is 5 centimeters, the area of the square is 25 square centimeters.
10. √(25) + √(16) = 5 + 4 = 9.

Squares and Square Roots Practice Exercise

Q 1: Calculate the square of 12.

Q 2: Find the square of 18.

Q 3: Calculate the square of 7.

Q 4: Find the square of 25.

Q 5: Calculate the square of 10.

Q 6: Find the square root of 144.

Q 7: Calculate the square root of 169.

Q 8: Find the square root of 64.

Q 9: Calculate the square root of 225.

Q 10: Find the square root of 100.

Q 11: Calculate the square of 9 and then find its square root.
Answer: 9^2 = 81; √81 = 9

Q 12: Find the square root of 484 and then calculate its square.
Answer: √484 = 22; 22^2 = 484

Q 13: Calculate the square of 16 and then find its square root.
Answer: 16^2 = 256; √256 = 16

Q 14: Find the square root of 576 and then calculate its square.
Answer: √576 = 24; 24^2 = 576

Q 15: Calculate the square of 21 and then find its square root.
Answer: 21^2 = 441; √441 = 21

Q 16: Calculate the square of the following numbers:

a) 5
b) 8
c) 12
d) 16
e) 20

b) 64
c) 144
d) 256
e) 400

Q 17: Find the square root of the following numbers:

a) 49
b) 100
c) 169
d) 256
e) 625

b) 10
c) 13
d) 16
e) 25

Q 18: Find the square root of the following numbers (rounded to two decimal places):

a) 81
b) 144
c) 196
d) 324
e) 441

b) 12.00
c) 14.00
d) 18.00
e) 21.00

Q 19: Approximate the square root of the following numbers to one decimal place:

a) 56
b) 189
c) 265
d) 402
e) 536

b) 13.8
c) 16.3
d) 20.0
e) 23.1

Square Roots and Word Problem Exercise

Q 1: The area of a square is 324 square units. What is the length of each side of the square?

Answer: The side length is the square root of the area, so √324 = 18 units.

Q 2: A garden has an area of 576 square meters. What is the length of each side of the square garden?

Answer: The side length is the square root of the area, so √576 = 24 meters.

Q 3: If the side length of a square is 9 cm, what is its area?

Answer: The area of a square is side length squared, so 9 × 9 = 81 square cm.

Q 4 : The side length of a square field is 25 meters. What is the area of the field?

Answer: The area of a square is side length squared, so 25 × 25 = 625 square meters.

### Square And Square roots Class 8 Important questions worksheet

Q.1 Find the perfect square numbers between
(i) 30 and 40
(ii) 50 and 60

Q.2 Which of 1232, 772, 822, 1612, 1092 would end with digit 1?

Q.3 Which of the following numbers would have digit 6 at unit place.
(i) 192 (ii) 242 (iii) 262 (iv) 362 (v) 342

Q.4 What will be the “one’s digit” in the square of the following numbers?
(i) 1234 (ii) 26387 (iii) 52698 (iv) 99880 (v) 21222 (vi) 9106

Q.5 The square of which of the following numbers would be an odd number/an even number? Why?
(i) 727 (ii) 158 (iii) 269 (iv) 1980

Q.6 Find the smallest square number that is divisible by each of the numbers 4, 9 and 10.

Q.7 Find the smallest square number that is divisible by each of the numbers 8, 15 and 20.

Q.8 Find the square roots of the following numbers by the Prime Factorisation Method.
(i) 729 (ii) 400 (iii) 1764 (iv) 4096 (v) 7744

Q.9 What will be the number of zeros in the square of the following numbers?
(i) 60 (ii) 400

Q.10 How many natural numbers lie between 92 and 102 ? Between 112 and 122?

Q.11 How many non square numbers lie between the following pairs of numbers
(i) 1002 and 1012 (ii) 902 and 912 (iii) 10002 and 10012

Q.12 Find whether each of the following numbers is a perfect square or not?
(i) 121 (ii) 55 (iii) 81 (iv) 49 (v) 69

Q.13 Express the following as the sum of two consecutive integers.
(i) 212 (ii) 132 (iii) 112 (iv) 192

Q.14 Express 49 as the sum of 7 odd numbers.

Q.15 Express 121 as the sum of 11 odd numbers.

Q.16 How many numbers lie between squares of the following numbers?
(i) 12 and 13 (ii) 25 and 26 (iii) 99 and 100

Q.17 Find the square of the following numbers without actual multiplication.
(i) 39 (ii) 42

Q.18 Find the squares of the following numbers containing 5 in unit’s place.
(i) 15 (ii) 95 (iii) 105 (iv) 205

Q.19 Write a Pythagorean triplet whose smallest member is 8.

Q.20 Find a Pythagorean triplet in which one member is 12.

Q.21 Write a Pythagorean triplet whose one member is.
(i) 6 (ii) 14 (iii) 16 (iv) 18

Q.22 By repeated subtraction of odd numbers starting from 1, find whether the following numbers are perfect squares or not? If the number is a perfect square then find its square root.
(i) 121 (ii) 55 (iii) 36 (iv) 49 (v) 90