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Sets

ICSE · Class 6 · Mathematics

Quick revision notes for Sets — ICSE Class 6 Mathematics. Key concepts, formulas, and definitions for last-minute revision.

90 questions30 flashcards5 concepts

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A comparison illustrating the difference between equal sets (identical elements) and equivalent sets (same number of elements), with clear examples.
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Key Topics to Revise

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1. Introduction to Sets

  • A set is a well-defined collection of different objects.
  • The term 'well-defined' means it is clear which objects belong to the set and which do not.
  • Examples: A set of vowels, a set of even numbers less than 10.
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2. Elements of a Set

  • The objects in a set are called elements or members.
  • Elements are written inside curly brackets { } and separated by commas.
  • The symbol ∈ means 'belongs to'. For example, 3 ∈ {1, 2, 3}.
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3. Representation of Sets

  • There are three ways to represent a set: Description, Roster, and Set-builder form.
  • Description Method: Define the set in words. Example: {Prime numbers less than 10}.
  • Roster Method: List all elements. Example: {2, 3, 5, 7}.
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4. Types of Sets

  • Finite Set: Has a limited number of elements. Example: {1, 2, 3}.
  • Infinite Set: Has unlimited elements. Example: {1, 2, 3, ...}.
  • Empty Set (Null Set): Has no elements. Denoted by {} or ∅.

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Full Notes

Key Concepts

A set is a collectionThe items in a setThere are three main waysFinite SetThe number of distinct elements

Frequently Asked Questions

What are the important topics in Sets for ICSE Class 6 Mathematics?
Key topics in Sets include Decision flowchart showing when a collection becomes a set based on whether it is well-defined, Illustration showing set notation with elements and membership symbols, Flowchart showing how repeated elements are handled and order doesn't affect set equality. These are the concepts ICSE Class 6 examiners draw on most — study them first, then practise related questions.
How to score full marks in Sets — ICSE Class 6 Mathematics?
Understand the core concepts first, then work through the 90 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 22 chapters — ICSE Class 6 Mathematics Revision Notes

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