Skip to main content
Super TutorResources
Chapter 5 of 5
QuestionsNotesFlashcardsSummaryFormulasQuizConceptsSyllabusPlan
Important Questions

Squares and Square Roots

Gujarat Board · Class 8 · Mathematics

Most important questions from Squares and Square Roots for Gujarat Board Class 8 Mathematics board exam 2026. MCQs, short answer, and long answer questions with marks.

45 questions5 concepts

Interactive on Super Tutor

Studying Squares and Square Roots? Get the full interactive chapter.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for important questions and more.

Try Super Tutor — Free

1,000+ Class 8 students started this chapter today

45 Questions·
multiple choice

Sample Questions

1multiple choice
1 marks

Find √144 using your knowledge of square numbers.

Show answer

12

Step 1: We need to find the positive square root of 144. Step 2: Recall that finding a square root is the inverse of squaring. Step 3: We check: 12 × 12 = 144. Step 4: Since 12² = 144, we conclude √144 = 12. Step 5: Verify: 11² = 121 (too small), 13² = 169 (too big), so 12 is the only correct answer.

2multiple choice
1 marks

The sum of the first 5 odd natural numbers is equal to which perfect square?

Show answer

25

Step 1: The first 5 odd natural numbers are 1, 3, 5, 7, 9. Step 2: Their sum = 1 + 3 + 5 + 7 + 9. Step 3: 1+3=4, 4+5=9, 9+7=16, 16+9=25. Step 4: The sum is 25. Step 5: This follows the rule that the sum of the first n odd natural numbers = n². Here n=5, so the sum = 5² = 25.

3multiple choice
1 marks

Which of the following numbers CANNOT be a perfect square based on its units digit?

Show answer

438

Step 1: Perfect squares can only end in the digits 0, 1, 4, 5, 6, or 9. Step 2: 361 ends in 1 — possible perfect square. Step 3: 529 ends in 9 — possible perfect square. Step 4: 438 ends in 8 — a perfect square CANNOT end in 2, 3, 7, or 8. So 438 cannot be a perfect square. Step 5: 625 ends in 5 — possible perfect square. So 438 is definitely NOT a perfect square.

4multiple choice
1 marks

Find √256 by prime factorisation. What is the answer?

Show answer

16

Step 1: Find prime factorisation of 256. Step 2: 256 = 2×128 = 2×2×64 = 2×2×2×32 = 2×2×2×2×16 = 2×2×2×2×2×8 = 2×2×2×2×2×2×4 = 2×2×2×2×2×2×2×2 = 2⁸. Step 3: Pair the prime factors: (2×2)×(2×2)×(2×2)×(2×2) = 4 pairs. Step 4: √256 = 2×2×2×2 = 16. Step 5: Verify: 16×16 = 256. ✓

+41 more questions available

Practice All

Frequently Asked Questions

What are the important topics in Squares and Square Roots for Gujarat Board Class 8 Mathematics?
Key topics in Squares and Square Roots include Squares and Square Roots – Chapter Overview, Squares and Square Roots - Concept Overview, Squares and Square Roots – Complete Chapter Overview. These are the concepts Gujarat Board Class 8 examiners draw on most — study them first, then practise related questions.
How to score full marks in Squares and Square Roots — Gujarat Board Class 8 Mathematics?
Understand the core concepts first, then work through the 45 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.
How many important questions are there in Squares and Square Roots?
There are 45 practice questions available for Squares and Square Roots. These cover multiple question types including MCQs, short answer, and long answer questions.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

More resources for Squares and Square Roots

All 5 chapters — Gujarat Board Class 8 Mathematics Important Questions

For serious students

Get the full Squares and Square Roots chapter — for free.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan for Gujarat Board Class 8 Mathematics.

Try Super Tutor Free
Try the full chapter — Free