Chapter 1 · Class 8 CBSE · Free Worksheet PDF
Squares and Cubes Sums for Class 8 — Free CBSE Worksheet PDF with Answers
Download a free printable squares, cubes & their roots worksheet for Class 8 CBSE with 30 practice questions covering perfect squares, perfect cubes, square roots, cube roots, and patterns in squares and cubes. Includes complete answer key. CBSE-aligned for the 2025-26 syllabus.
Last updated: 5 May 2026
Download Full PDF Worksheet
30 questions (Easy + Medium + Hard) with answer key. Fresh set generated daily.
Sample Squares, Cubes & Their Roots Sums for Class 8 — Practice Questions
Here are 8 sample squares, cubes & their roots sums from this Class 8 CBSE worksheet. Download the full PDF for all 30 questions with answers.
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?
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?
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
Download the full PDF for all 30 answers with step-by-step solutions.
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 |
Related Worksheets — Class 8 CBSE
Frequently Asked Questions
Where can I download free squares, cubes & their roots sums 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 practice questions (perfect squares, perfect cubes, square roots, cube roots, and patterns in squares and cubes) at easy, medium, and hard levels with a complete answer key.
How many squares, cubes & their roots questions are in this Class 8 worksheet?+
This SparkEd worksheet for Squares, Cubes & Their Roots Class 8 contains 30 questions — 10 easy, 10 medium, and 10 hard. The questions cover perfect squares, perfect cubes, square roots, cube roots, and patterns in squares and cubes. A fresh set is generated daily so students never repeat the same sheet.
Does the Squares, Cubes & Their Roots worksheet for Class 8 include answers?+
Yes! Every SparkEd worksheet comes with a complete answer key. Students can self-check their work after completing the sheet. The PDF is free to download and print.
Is this squares, cubes & their roots worksheet aligned to CBSE syllabus?+
Yes. This worksheet is specifically designed for Class 8 CBSE students and aligned to the 2025-26 CBSE syllabus. All questions follow the CBSE exam pattern and difficulty level.
Can I print this Squares, Cubes & Their Roots worksheet?+
Absolutely! The worksheet downloads as an A4-size PDF that is ready to print. It includes the questions, space for working, and a separate answer key — perfect for classroom use or home practice.
How is this worksheet different from NCERT textbook exercises?+
SparkEd worksheets go beyond NCERT exercises by providing 30 questions at 3 progressive difficulty levels. Level 1 (Easy) builds confidence, Level 2 (Medium) tests application, and Level 3 (Hard) prepares for exams. Each worksheet includes word problems and conceptual questions, not just computation.
Practice Squares, Cubes & Their Roots Sums Online — Class 8 CBSE
Want more than a worksheet? Solve squares, cubes & their roots problems interactively with instant feedback, step-by-step solutions, and an AI maths coach. No signup required.
Start Practising OnlineSparkEd Maths provides free printable maths worksheets for Class 1-10 across CBSE, ICSE, IB, Olympiad, UP Board, Maharashtra SSC, and TN Board. Every worksheet includes an answer key and is aligned to the 2025-26 syllabus.