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Squares and Square Roots — Class 8 CBSE Mathematics MCQs with Solutions
Free Class 8 CBSE Mathematics Squares and Square Roots MCQs with step-by-step solutions. Practise online on Prepizo — no login needed.
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Sample questions with solutions
Q1 — easy
Which of these is a perfect square?
A. 24
B. 48
C. 64 ✓ Correct
D. 72
Solution: 64 = 8².
Q2 — easy
The units digit of 27² is:
A. 4
B. 7
C. 9 ✓ Correct
D. 1
Solution: 7 × 7 = 49, so the units digit is 9.
Q3 — easy
What is √144?
A. 11
B. 12 ✓ Correct
C. 13
D. 14
Solution: 12 × 12 = 144.
Q4 — hard
Find the least number that must be added to 525 to make it a perfect square.
A. 4 ✓ Correct
B. 11
C. 14
D. 24
Solution: 22² = 484, 23² = 529, so add 4.
Q5 — hard
If √(x) = 17, then x equals:
A. 189
B. 279
C. 289 ✓ Correct
D. 389
Solution: 17² = 289.
Q6 — hard
The sum of the first 8 odd numbers is:
A. 36
B. 49
C. 64 ✓ Correct
D. 81
Solution: The sum of the first n odd numbers is n²: 8² = 64.
Q7 — medium
The smallest number by which 48 must be multiplied to become a perfect square is:
A. 2
B. 3 ✓ Correct
C. 4
D. 6
Solution: 48 = 2⁴ × 3; multiply by 3 to get 144.
Q8 — medium
A square garden has area 1225 m². Find its side.
A. 25 m
B. 35 m ✓ Correct
C. 45 m
D. 55 m
Solution: 35² = 1225.
Q9 — medium
Which of these cannot be a perfect square (look at the units digit)?
A. 441
B. 625
C. 1024
D. 1058 ✓ Correct
Solution: No perfect square ends in 8.