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Squares and Square Roots Class 8 MCQs
By rohit.pandey1
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Updated on 25 Sep 2025, 13:04 IST
Square and Square Roots are a fun part of math, and Infinity Learn have the perfect way for you to practice! Get ready with our Multiple Choice Questions (MCQs) for Class 8 Maths, Chapter 6. These questions are like a fun square and square roots quiz designed just for you.
Practicing these chapter-wise MCQs helps every student understand each concept clearly. This will guide you toward scoring better marks on your exams. You can find these questions and other important study materials for Class 8 Maths at Infinity Learn.
CBSE Class MCQs for Square and Square Roots are prepared by experts to match the latest CBSE Class 8 Maths syllabus (2025-2026) and NCERT books. By practicing these questions, you’ll understand each concept better and get ready to score higher marks in your exams. You can find all these MCQs with answers and other important questions for Class 8 Maths at Infinity Learn.
MCQs Questions on Class 8 Chapter 6 Squares and Square Roots
MCQs are provided for Class 8 students to test their understanding of Chapter 6, Squares and Square Roots. Each question comes with four options, out of which one is the correct answer. Students need to solve each problem and select the appropriate answer. This format helps in reinforcing their knowledge and preparing for exams effectively.
What is the square of 9?
(a) 18
(b) 27
(c) 81
(d) 36
Answer: (c) 81
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Which of the following numbers is a perfect square?
(a) 20
(b) 25
(c) 30
(d) 40
Answer: (b) 25
The square root of 64 is:
(a) 6
(b) 7
(c) 8
(d) 9
Answer: (c) 8
Which number is a perfect square?
(a) 24
(b) 30
(c) 49
(d) 50
Answer: (c) 49
What is the square root of 121?
(a) 11
(b) 10
(c) 12
(d) 13
Answer: (a) 11
Which of the following is the square of 12?
(a) 122
(b) 144
(c) 120
(d) 169
Answer: (b) 144
The square root of 169 is:
(a) 11
(b) 12
(c) 13
(d) 14
Answer: (c) 13
Also Read: Class 8 Maths MCQs Chapter-Wise with Answers
Which of the following is not a perfect square?
(a) 16
(b) 25
(c) 40
(d) 49
Answer: (c) 40
The square of 15 is:
(a) 215
(b) 225
(c) 250
(d) 210
Answer: (b) 225
What is the square root of 81?
(a) 7
(b) 8
(c) 9
(d) 10
Answer: (c) 9
Which of the following numbers is a perfect square?
(a) 50
(b) 64
(c) 75
(d) 90
Answer: (b) 64
The square root of 100 is:
(a) 8
(b) 9
(c) 10
(d) 11
Answer: (c) 10
Which number has the square root of 14?
(a) 164
(b) 196
(c) 144
(d) 169
Answer: (b) 196
What is the square of 20?
(a) 200
(b) 300
(c) 400
(d) 500
Answer: (c) 400
The square root of 36 is:
(a) 5
(b) 6
(c) 7
(d) 8
Answer: (b) 6
Which of the following numbers is not a perfect square?
(a) 9
(b) 16
(c) 24
(d) 25
Answer: (c) 24
The square of 8 is:
(a) 36
(b) 48
(c) 56
(d) 64
Answer: (d) 64
What is the square root of 225?
(a) 12
(b) 13
(c) 14
(d) 15
Answer: (d) 15
Which number is a perfect square?
(a) 50
(b) 60
(c) 70
(d) 81
Answer: (d) 81
The square root of 49 is:
(a) 5
(b) 6
(c) 7
(d) 8
Answer: (c) 7
What is the square of 7?
(a) 45
(b) 49
(c) 56
(d) 63
Answer: (b) 49
The square root of 16 is:
(a) 3
(b) 4
(c) 5
(d) 6
Answer: (b) 4
Which of the following is a perfect square?
(a) 45
(b) 55
(c) 65
(d) 81
Answer: (d) 81
The square of 11 is:
(a) 111
(b) 121
(c) 131
(d) 141
Answer: (b) 121
What is the square root of 144?
(a) 10
(b) 11
(c) 12
(d) 13
Answer: (c) 12
Which number is not a perfect square?
(a) 25
(b) 36
(c) 45
(d) 49
Answer: (c) 45
The square of 10 is:
(a) 100
(b) 110
(c) 120
(d) 130
Answer: (a) 100
What is the square root of 81?
(a) 7
(b) 8
(c) 9
(d) 10
Answer: (c) 9
Which of the following is a perfect square?
(a) 60
(b) 64
(c) 70
(d) 74
Answer: (b) 64
The square root of 25 is:
(a) 3
(b) 4
(c) 5
(d) 6
Answer: (c) 5
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FAQs: Squares and Square Roots Class 8 MCQs
What are squares and square roots?
Squares are numbers obtained by multiplying a number by itself (e.g., 6² = 6 × 6 = 36). Square roots are the numbers which, when multiplied by themselves, give the original number (e.g., √36 = 6).
How do you find the square root of a number?
Students can find square roots using:
- Prime factorization method (pairing prime factors)
- Long division method (for bigger numbers)
- Estimation method (for approximations and non-perfect squares)
What are the properties of square numbers?
Key properties:
- A perfect square can only end with digits 0, 1, 4, 5, 6, or 9.
- Squares of even numbers are always even; squares of odd numbers are always odd.
- The number of factors of a perfect square is always odd.
What is the easiest way to find squares of numbers?
Student can use mental math tricks like:
- (a+b)² = a² + 2ab + b²
- Base method (for numbers near 50, 100)
- Vedic Math techniques for squaring numbers ending with 5
How to check if a number is a perfect square?
Do prime factorization of the number.
If all prime factors are paired, it is a perfect square.
Example: 144 = 2⁴ × 3² → all paired → perfect square.