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Squares and Square Roots

ICSE · Class 8 · Mathematics

Complete topic list for Squares and Square Roots in ICSE Class 8 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.

38 questions30 flashcards5 concepts

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4 Topics · ICSE Class 8 Mathematics

Topics in Squares and Square Roots

1

1. Basic Ideas: Square and Square Root

  • Square means a number multiplied by itself.
  • 5 squared equals 25.
  • 0.04 is the square of 0.2.
2

2. Perfect Squares and Prime Factor Method

  • A number whose exact square root can be obtained is called a perfect square.
  • 16, 49, 1.21, and 9/16 are perfect squares.
  • Every natural number is not a perfect square. Whole numbers and integers are also not necessarily perfect squares.
3

3. Finding Square Roots by Prime Factor Method

  • 484 has square root 22 by prime factorization.
  • 980 must be multiplied by 5 to become a perfect square, and the square root of the new number is 70.
  • 3150 must be divided by 14 to become a perfect square.
4

4. Division Method for Square Roots

  • The division method works for perfect squares and also for non-perfect squares.
  • Digits are grouped in pairs starting from the decimal point.
  • For mixed decimals, group the integral part from right to left and the decimal part from left to right.

Key Concepts

Central concept: Squares and Square Roots

SquareSquare rootRadical signPerfect squarePrime factor methodDivision methodPythagorean tripletsProperties of square numbers

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.

Sources & Official References

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

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All 25 chapters — ICSE Class 8 Mathematics Syllabus

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