Class 8 Mathematics — Chapter 5: Squares and Square Roots
72 practice questions · 24 Easy · 24 Medium · 24 Hard
Practise Class 8 Mathematics Chapter 5, "Squares and Square Roots", with 72 NCERT-aligned multiple-choice questions. The set is split into 24 Easy, 24 Medium and 24 Hard questions, so you can warm up on the fundamentals and then push into the exam-level problems that separate top scorers in CBSE Board exams.
"Squares and Square Roots" is one of the chapters where problem-solving speed, formula recall and step-by-step reasoning really pays off. Each MCQ on this chapter is timed and uses exam-grade marking (+2 correct, −1 wrong, 0 skipped), training the same accuracy-under-pressure that real papers demand. Every question carries a short explanation, so a wrong answer becomes a quick lesson rather than a dead end — the fastest way to close gaps before a test.
Use this chapter as targeted revision: attempt the Easy set first to confirm your basics on Squares and Square Roots, then move to Medium and Hard to test application and problem-solving. Your accuracy, streaks and XP save automatically, and the chapter feeds into your overall Class 8 Mathematics mastery score. A few sample questions are shown below; sign in free to practise all 72.
Key concepts: Squares and Square Roots (Class 8 Mathematics)
This chapter covers perfect squares and their properties, and finding square roots by prime factorisation and the long-division method.
- Perfect square
- A number that is the square of an integer, e.g. 1, 4, 9, 16; it never ends in 2, 3, 7 or 8.
- Properties of squares
- The square of an even number is even, of an odd number is odd; there are 2n non-perfect-squares between n² and (n+1)².
- Square root
- The number which, when multiplied by itself, gives the original number; √(a²) = a.
- By prime factorisation
- Pair the equal prime factors; the product of one factor from each pair gives the square root.
- Long-division method
- Used to find the square root of large numbers and of decimals.
Key formulas — Squares and Square Roots
💡 Exam tips for Squares and Square Roots
- A number ending in 2, 3, 7 or 8 (or an odd number of zeros) is never a perfect square.
- For prime factorisation, every prime must form a complete pair for a perfect square.
Sample questions
Square of 12:
12² = 144.
Last digit of squares is never:
Squares end in 0,1,4,5,6,9.
Number of digits in square of 25:
n-digit number's square has 2n or 2n−1 digits.
Squares and Square Roots — FAQs
What are the key concepts in Class 8 Mathematics Squares and Square Roots?+
This chapter covers perfect squares and their properties, and finding square roots by prime factorisation and the long-division method. Key ideas include Perfect square, Properties of squares, Square root, By prime factorisation, Long-division method.
What does Class 8 Mathematics Chapter 5 (Squares and Square Roots) cover on XamBaaz?+
It covers 72 NCERT-aligned MCQs on "Squares and Square Roots" — 24 Easy, 24 Medium and 24 Hard — each with a timed quiz and an instant explanation, suitable for CBSE Board exams.
Are these "Squares and Square Roots" questions free to practise?+
Yes — sign in with Google to practise "Squares and Square Roots" free. Full unlimited access is ₹999/year (limited-time launch price), with no per-chapter charges.
How should I revise "Squares and Square Roots" for the exam?+
Start with the Easy quiz to confirm your fundamentals, then attempt Medium and Hard for application-level practice. Review each explanation, retry the questions you miss, and track your accuracy on this chapter until it is consistently high.
Practise all 72 questions free
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