Squares and Square Roots Practice
Solve chapter-level practice questions for Squares and Square Roots with reveal-only solutions and quick revision support.
Practice Set 1 — Properties and Patterns
Recognising squares, unit digits, sums of odd numbers.
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Practice Set 2 — Square Roots and Triplets
Prime factorisation, long division, Pythagorean triplets.
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Quick Q&A Before You Revise
How can I tell quickly that a number is not a perfect square?
If it ends in 2, 3, 7, or 8, or ends in an odd number of zeros, it cannot be a perfect square.
What is the difference between the prime factorisation method and the long division method for square roots?
Prime factorisation is quick for perfect squares. Long division works for any number, including non-perfect squares and decimals, and gives the root to as many decimal places as needed.
How do I generate a Pythagorean triplet?
Pick a natural number m > 1. Then (2m, m² − 1, m² + 1) is a Pythagorean triplet, because (2m)² + (m² − 1)² = (m² + 1)².