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Revision Notes

Sets — Revision Notes

ICSE · Class 6 · Mathematics

Sets revision notes for ICSE Class 6 Mathematics: 4 topics in quick points. Includes Introduction to Sets, Elements of a Set and Representation of Sets.

90 questions30 flashcards2 formulas & key relations5 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 Introduction to Sets, Elements of a Set, Representation of Sets, Types of Sets. Study these first, then practise questions on each for Class 6 exams.
How should I revise Sets for Class 6 exams?
Learn the core ideas first, then work through the 90 practice questions on Sets. 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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All ICSE Class 6 Mathematics Revision Notes

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