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Sets — Practice Quiz

ICSE · Class 8 · Mathematics

Try a 4-question quiz on Sets for ICSE Class 8 Mathematics: tap an answer to check it and see why. 51 questions in the full chapter test.

51 questions32 flashcards6 formulas & key relations5 concepts

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Quick Quiz: Sets

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Tap an answer to check it instantly. No sign-up needed for these 4.

1

A set X has 3 elements and set Y has 4 elements. If X and Y are disjoint, what is n(X ∪ Y)?

2

If n(A) = 8, n(B) = 5 and n(A ∩ B) = 2, find n(A ∪ B).

3

A universal set U has 10 elements and a set A has 4 elements. If A is a subset of U, what is n(A')?

4

If A = {1, 2, 3, 4, 5, 6} and B = {4, 5, 6, 7, 8, 9, 10}, what is A - B?

51 Questions·
multiple correctmultiple choice

Sample Questions

1multiple correct
3 marks

Given A = {1, 2, 3, 4, 5} and B = {x : x ∈ N and x < 6}, which statement about these sets is correct after checking the elements one by one?

Show answer

A = B, A and B are equal sets, A and B are equivalent sets

A = {1, 2, 3, 4, 5}. The set B contains all natural numbers less than 6, so B = {1, 2, 3, 4, 5}. The two sets have identical elements, so they are equal. Equal sets always have the same number of elements, so they are also equivalent.

2multiple choice
3 marks

For sets A = {2, 5, 8, 11}, B = {2, 4, 6, 8} and C = {5, 6, 7, 8}, what is A ∪ (B ∩ C)?

Show answer

{2, 5, 6, 8, 11}

First find B ∩ C. The common elements are {6, 8}. Now take the union with A: {2, 5, 8, 11} ∪ {6, 8} = {2, 5, 6, 8, 11}.

3multiple choice
3 marks

For the same sets A = {2, 5, 8, 11}, B = {2, 4, 6, 8} and C = {5, 6, 7, 8}, what is (A ∪ B) ∩ (A ∪ C)?

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{2, 5, 6, 8, 11}

A ∪ B = {2, 4, 5, 6, 8, 11} and A ∪ C = {2, 5, 6, 7, 8, 11}. Their intersection is the common elements {2, 5, 6, 8, 11}.

4multiple correct
3 marks

A set P has 3 elements. How many subsets does P have, and how many proper subsets does P have?

Show answer

8 subsets, 7 proper subsets

For a set with n elements, number of subsets = 2^n and number of proper subsets = 2^n - 1. Here n = 3, so subsets = 2^3 = 8 and proper subsets = 8 - 1 = 7.

+47 more questions on Sets (ICSE Class 8 Mathematics)

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Frequently Asked Questions

What are the important topics in Sets for ICSE Class 8 Mathematics?
Key topics in Sets include Basic Ideas and Representation of Sets, Types of Sets, Subsets and Proper Subsets, Universal Set and Complement. Study these first, then practise questions on each for Class 8 exams.
How many practice questions are there for Sets?
There are 51 questions on Sets. Try the 4-question sample quiz on this page first; each answer shows an explanation when you tap it.

Sources & Official References

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

More resources for Sets

All ICSE Class 8 Mathematics Practice Quiz

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