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Sets

ICSE · Class 6 · Mathematics

Flashcards for Sets — ICSE Class 6 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.

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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30 Flashcards
Card 1Idea of a Set

Is the collection of 'all difficult problems in a math book' a set? Why or why not?

Answer

No, it is not a set. The term 'difficult' is subjective and varies from person to person. Since it's not well-defined which problems belong, it does not form a set.

Card 2Idea of a Set

Is the collection of 'all students in your class taller than 150 cm' a set? Give reason.

Answer

Yes, it is a set. The height condition (taller than 150 cm) is well-defined. We can clearly identify which students belong to this collection.

Card 3Elements of a Set

Write the set of vowels in the word 'MATHEMATICS'.

Answer

Step 1: Identify vowels in the word: A, E, A, I. Step 2: Remove duplicates and list in any order. Answer: {a, e, i}…

Card 4Elements of a Set

Write the set of letters in the word 'MISSISSIPPI'.

Answer

Step 1: List all letters: M, I, S, S, I, S, S, I, P, P, I. Step 2: Remove duplicates. Answer: {m, i, s, p}…

Card 5Elements of a Set

If A = {2, 4, 6, 8}, is 5 ∈ A? Is 6 ∈ A?

Answer

5 ∈ A means '5 belongs to A'. Since 5 is not in the set, 5 ∉ A. 6 ∈ A means '6 belongs to A'. Since 6 is in the set, 6 ∈ A. Answer: 5 ∉ A, 6 ∈ A…

Card 6Elements of a Set

If B = {a, b, c, d}, write two elements that belong to B and one that does not.

Answer

Elements that belong: a, b Element that does not belong: e Answer: a ∈ B, b ∈ B, e ∉ B…

Card 7Properties of Sets

Are the sets {1, 2, 3} and {3, 2, 1} equal? Why?

Answer

Yes, they are equal. The order of elements in a set does not matter. Both sets contain the same elements: 1, 2, and 3. So, {1, 2, 3} = {3, 2, 1}…

Card 8Properties of Sets

Are the sets {1, 1, 2, 3} and {1, 2, 3} equal?

Answer

Yes, they are equal. Repeating elements in a set does not change it. Duplicate elements are counted only once. So, {1, 1, 2, 3} = {1, 2, 3}…

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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.
How many flashcards are available for Sets?
There are 30 flashcards for Sets covering key definitions, formulas, and concepts. Use them daily for 10–15 minutes for best results.

Sources & Official References

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

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