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Squares and Square Roots — Study Plan

ICSE · Class 8 · Mathematics

A step-by-step study plan for Squares and Square Roots, ICSE Class 8 Mathematics: what to learn first, what to practise and when to revise.

38 questions30 flashcards7 formulas & key relations5 concepts

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Study Plan

1
Day 1–2

Learn the Theory

Read the textbook chapter carefully. Note down definitions, formulas and key ideas. Focus on: 1. Basic Ideas: Square and Square Root, 2. Perfect Squares and Prime Factor Method, 3. Finding Square Roots by Prime Factor Method.

2
Day 3

Practise

Solve the textbook exercises and extra practice questions. There are 38 questions available for this chapter.

3
Day 4

Revise & Test

Revise key points without looking at your notes. Take a practice quiz and mark weak areas for another pass.

4
Day 7

Spaced Revision

Come back to Squares and Square Roots after a week. Use flashcards for quick recall and try past exam questions on this chapter.

What to Focus On

  • Square means a number multiplied by itself.
  • Square root means the number whose square is the given number.
  • The symbol of square root is √.
  • A perfect square has an exact square root.
  • Prime factors of a perfect square can be grouped into equal pairs.
  • 196 is a perfect square.
  • Prime factor method uses pairing of equal prime factors.
  • One factor from each pair gives the square root.
  • A non-perfect square may need multiplication or division to become a perfect square.

Common Mistakes to Avoid

The square root of 16 is only 4, and -4 should also be written as the answer in school work.

If a number ends in 2, 3, 7, or 8, it may still be a perfect square.

If a number ends in 0, it must be a perfect square.

Memory Tips

Square of a number

Square root

Positive square root in this chapter

Square of negative number is positive

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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 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.

More resources for Squares and Square Roots

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