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CBSE Class 8 squaresandsquareroots — practice questions

28 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.

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A natural number m is called a perfect square if it can be written as:Which of the following is NOT a perfect square?The square of an EVEN number is always:Square root of 144 is:Which of the following is a perfect square?Which of these cannot possibly be the LAST digit (units digit) of a perfect square?How many non-square natural numbers lie between 9² and 10² (exclusive of both)?What is 35² without direct multiplication?By how much does (n+1)² exceed n²?The sum 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 equals:The square root of 0.81 is:Using prime factorisation, √324 equals:How many PERFECT SQUARES lie strictly between 100 and 200?Using the identity (2m, m² − 1, m² + 1) for Pythagorean triplets, the triplet generated by m = 4 is:A Pythagorean triplet has one member equal to 12, and the OTHER TWO members differ by 2. The triplet is:What is the smallest natural number by which 180 must be MULTIPLIED so that the product becomes a perfect squaWhat is the smallest natural number by which 1620 must be DIVIDED so that the quotient is a perfect square?Compute 99² (without long multiplication, using (a + b)² or (a − b)²):Compute 105² without direct multiplication:Using repeated subtraction of consecutive odd numbers from 1, after how many steps will you reach 0 starting fCompute the square root of 12.96 (a decimal).What is the units digit of (1234)²?Find the smallest 4-digit number which is a perfect square.How many digits will be in the square root of a perfect square with EXACTLY 8 digits?Two square fields have areas in the ratio 16 : 9. The ratio of their PERIMETERS is:A square garden has area 2025 m². What is its side?What is the smallest number that should be ADDED to 252 to make it a perfect square?A 16-sided regular polygon (like a perfectly square checker board) has 16² = ___ unit squares. If the same num