Chapter 1 · Class 8 CBSE · Worksheet

Squares, Cubes & Their Roots Worksheet — Class 8 CBSE Maths

Download a free printable worksheet with 30 questions at 3 difficulty levels. Includes full answer key.

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30 questions (Easy + Medium + Hard) with answer key. Fresh set generated daily.

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Sample Questions — Squares, Cubes & Their Roots

Here are 8 sample questions from this worksheet. Download the full PDF for all 30 questions.

Q1.Which of the following numbers, based on its unit digit, can definitively be stated as NOT a perfect square?

A.3136

B.4096

C.5249

D.6723

Difficulty: Easy

Q2.Which statement is TRUE about the number of non-perfect square numbers between n² and (n+1)² for any natural number 'n'?

A.It is always 2n.

B.It is always n+1.

C.It is always 2n-1.

D.It depends on the specific value of n.

Difficulty: Easy

Q3.Which of the following represents the sum of the first 6 odd natural numbers?

A.36

B.25

C.49

D.64

Difficulty: Easy

Q4.Ravi tried to find the square root of 196 by prime factorization. His steps are shown below: 1. 196 = 2 × 98 2. = 2 × 2 × 49 3. = 2 × 2 × 7 × 7 4. He then wrote, √196 = 2 × 7 = 14. Which of the following statements about Ravi's solution is correct?

A.Ravi correctly applied the prime factorization method to find the square root.

B.Ravi made a mistake in the prime factorization in step 3.

C.Ravi should have paired the factors as (2×7) and (2×7) before taking one from each pair.

D.The square root of 196 is not 14.

Difficulty: Easy

Q5.A Pythagorean triplet consists of three positive integers a, b, and c, such that a² + b² = c². Which of the following sets of numbers forms a Pythagorean triplet?

A.(3, 4, 6)

B.(8, 15, 17)

C.(6, 8, 9)

D.(7, 24, 26)

Difficulty: Easy

Q6.Meena tried to find the square root of 49 using the repeated subtraction method. She wrote: 1. 49 - 1 = 48 2. 48 - 3 = 45 3. 45 - 5 = 40 4. 40 - 7 = 33 5. 33 - 9 = 24 6. 24 - 11 = 13 7. 13 - 13 = 0 She concluded that √49 = 7. Which statement best describes Meena's method?

A.Meena made a mistake in the subtraction at step 5.

B.Meena should have subtracted even numbers instead of odd numbers.

C.Meena correctly applied the repeated subtraction method, and her conclusion is correct.

D.The repeated subtraction method only works for numbers below 25.

Difficulty: Easy

Q7.Which of the following statements about square numbers is TRUE?

A.A number ending with an odd number of zeros is always a perfect square.

B.The square of an odd number is always an even number.

C.The square of any prime number is always a prime number.

D.The square of a proper fraction is always smaller than the fraction itself.

Difficulty: Easy

Q8.Without actually calculating, between which two consecutive integers does √110 lie?

A.9 and 10

B.10 and 11

C.11 and 12

D.12 and 13

Difficulty: Easy

Answer Key — Sample Questions+

Q1:6723

Q2:It is always 2n.

Q3:36

Q4:Ravi correctly applied the prime factorization method to find the square root.

Q5:(8, 15, 17)

Q6:Meena correctly applied the repeated subtraction method, and her conclusion is correct.

Q7:The square of a proper fraction is always smaller than the fraction itself.

Q8:10 and 11

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About This Worksheet

Topic	Squares, Cubes & Their Roots
Board	CBSE
Class	8
Total Questions	30 (10 Easy + 10 Medium + 10 Hard)
Answer Key	Included
Price	Free

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Frequently Asked Questions

Where can I download a free Squares, Cubes & Their Roots worksheet for Class 8?+

You can download a free Squares, Cubes & Their Roots PDF worksheet for Class 8 CBSE right here on SparkEd. The worksheet includes 30 questions at easy, medium, and hard levels with a complete answer key.

How many questions are in the Squares, Cubes & Their Roots worksheet?+

Each SparkEd worksheet for Squares, Cubes & Their Roots contains 30 questions — 10 easy, 10 medium, and 10 hard. A fresh set is generated daily so you never repeat the same sheet.

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