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Squares and Square Roots

ICSE · Class 8 · Mathematics

Flashcards for Squares and Square Roots — ICSE Class 8 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.

38 questions30 flashcards5 concepts

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30 Flashcards
Card 1Square of a number

Solve: 5 squared = ?

Answer

Step 1: Square means multiply the number by itself. Step 2: 5 × 5 = 25. Answer: 5 squared = 25.

Card 2Square of a negative number

Solve: (-3) squared = ?

Answer

Step 1: Multiply -3 by -3. Step 2: (-3) × (-3) = 9. Answer: (-3) squared = 9. Check: the square of any negative or positive number is positive.

Card 3Square of a decimal number

Solve: 0.2 squared = ?

Answer

Step 1: Multiply 0.2 by 0.2. Step 2: 0.2 × 0.2 = 0.04. Answer: 0.2 squared = 0.04.

Card 4Square root of a number

What is the square root of 16?

Answer

Step 1: Find the number whose square is 16. Step 2: 4 × 4 = 16. Answer: The positive square root of 16 is 4.

Card 5Square root of a perfect square

Find the square root of 49.

Answer

Step 1: Look for the number whose square is 49. Step 2: 7 × 7 = 49. Answer: √49 = 7.

Card 6Prime factor method

When do you use the prime factor method to find a square root? Find √196.

Answer

Step 1: Write 196 as prime factors: 196 = 2 × 2 × 7 × 7. Step 2: Make equal pairs: (2 × 2) and (7 × 7). Step 3: Take one factor from each pair: 2 × 7. Step 4: Multiply: 2 × 7 = 14. Answer: √196 = 14.

Card 7Prime factor method

Find the square root of 484 using prime factorization.

Answer

Step 1: Prime factors of 484 are 2 × 2 × 11 × 11. Step 2: Group them into pairs. Step 3: Take one number from each pair: 2 × 11. Step 4: Multiply: 2 × 11 = 22. Answer: √484 = 22.

Card 8Making a number a perfect square

Find the smallest number by which 980 must be multiplied to make it a perfect square.

Answer

Step 1: Write prime factors: 980 = 2 × 2 × 5 × 7 × 7. Step 2: One factor 5 is left unpaired. Step 3: Multiply by 5 to make a pair. Step 4: New number = 980 × 5. Answer: The smallest number is 5, and t…

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Frequently Asked Questions

What are the important topics in Squares and Square Roots for ICSE Class 8 Mathematics?
Key topics in Squares and Square Roots include Squares and Square Roots - Concept Overview, Squares and Square Roots – Complete Chapter Overview, Flowchart showing that squaring any number (positive or negative) always gives a positive result. These are the concepts ICSE Class 8 examiners draw on most — study them first, then practise related questions.
How to score full marks in Squares and Square Roots — ICSE Class 8 Mathematics?
Understand the core concepts first, then work through the 38 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.
How many flashcards are available for Squares and Square Roots?
There are 30 flashcards for Squares and Square Roots covering key definitions, formulas, and concepts. Use them daily for 10–15 minutes for best results.

Sources & Official References

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

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