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Squares and Square Roots Practice Questions

Class 8 · Mathematics · 1106 free MCQs with instant results and detailed explanations.

1106
Total
325
Easy
557
Medium
224
Hard

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Topics in Squares and Square Roots

Perfect Squares 376
Square Root Methods 364
Properties 366

Sample Questions from Squares and Square Roots

Here are 10 sample questions. Start a quiz to get randomized questions with scoring.

Q1
Easy
Which of the following is a perfect square?
A. 36
B. 50
C. 75
D. 90
Show Answer & Explanation
Correct Answer: A
36 is a perfect square because it can be expressed as 6 × 6.
Q2
Easy
What is the square of 7?
A. 49
B. 56
C. 64
D. 72
Show Answer & Explanation
Correct Answer: A
7 squared (7 × 7) equals 49.
Q3
Easy
Which number is the square of 5?
A. 20
B. 25
C. 30
D. 35
Show Answer & Explanation
Correct Answer: B
5 squared is 25 because 5 × 5 = 25.
Q4
Medium
What is the square of 12?
A. 144
B. 121
C. 100
D. 169
Show Answer & Explanation
Correct Answer: A
12 squared is 12 x 12, which equals 144.
Q5
Medium
If x² = 100, what is the value of x?
A. 10
B. -10
C. ±10
D. 20
Show Answer & Explanation
Correct Answer: C
The square root of 100 is both 10 and -10.
Q6
Medium
Which of the following is NOT a perfect square?
A. 16
B. 25
C. 30
D. 36
Show Answer & Explanation
Correct Answer: C
30 cannot be expressed as the square of an integer.
Q7
Medium
The area of a square is 64 cm². What is the length of one side?
A. 8 cm
B. 4 cm
C. 6 cm
D. 10 cm
Show Answer & Explanation
Correct Answer: A
The side length is the square root of the area: √64 = 8 cm.
Q8
Hard
Which of the following numbers is NOT a perfect square?
A. 144
B. 196
C. 150
D. 121
Show Answer & Explanation
Correct Answer: C
150 cannot be expressed as the product of an integer with itself, hence it is not a perfect square.
Q9
Hard
Which of these is the smallest perfect square greater than 50?
A. 49
B. 64
C. 36
D. 25
Show Answer & Explanation
Correct Answer: B
64 is the smallest perfect square greater than 50 since 8² = 64.
Q10
Hard
If x is a perfect square, and x = 81 + y where y is a perfect square, what is the maximum value of y?
A. 16
B. 9
C. 25
D. 36
Show Answer & Explanation
Correct Answer: D
The perfect square next to 81 is 121, so y = 121 - 81 = 40, which gives the maximum perfect square y as 36.

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Squares and Square Roots — Class 8 Mathematics Practice Questions Online

This page contains 1106 practice MCQs for the chapter Squares and Square Roots in Class 8 Mathematics. The questions are organized by difficulty — 325 easy, 557 medium, 224 hard — so you can choose the right level for your preparation.

Every question includes a detailed explanation to help you understand the concept, not just memorize answers. Take a timed quiz to simulate exam conditions, or practice at your own pace with no time limit. This chapter covers 3 topics, giving you comprehensive coverage of the entire chapter.