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Squares and Square Roots — Flashcards

ICSE · Class 8 · Mathematics

30 flashcards for Squares and Square Roots (ICSE Class 8 Mathematics) to test yourself on key terms and facts. Sample: "Solve: 5 squared = ?"

38 questions30 flashcards7 formulas & key relations5 concepts

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30 Flashcards·
Square of a numberSquare of a negative numberSquare of a decimal numberSquare root of a numberSquare root of a perfect squarePrime factor methodMaking a number a perfect square
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 Basic Ideas: Square and Square Root, Perfect Squares and Prime Factor Method, Finding Square Roots by Prime Factor Method, Division Method for Square Roots. Study these first, then practise questions on each for Class 8 exams.
How many flashcards are available for Squares and Square Roots?
There are 30 flashcards for Squares and Square Roots covering key definitions, facts and ideas. A few sample cards are shown on this page.
How should I revise Squares and Square Roots for Class 8 exams?
Learn the core ideas first, then work through the 38 practice questions on Squares and Square Roots. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

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

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