Sets Class 6 ICSE Worksheet Free PDF Download with Answers

Class 6 Maths Worksheet — Free PDF with Answers

This is your one-stop class 6 maths worksheet collection — every topic, every chapter, completely free with step-by-step answers. SparkEd's Class 6 maths practice covers the full ICSE syllabus with 60 questions per topic, and each worksheet comes as a printable PDF.

Every worksheet is aligned to the latest ICSE/CISCE syllabus pattern.

Want to practise Sets digitally? Try free online practice on SparkEd — instant grading, visual solutions, and an AI coach to help when you are stuck.

Sets — Where Logic Meets Mathematics

Sets is one of the chapters unique to the ICSE syllabus at the Class 6 level. While CBSE introduces sets much later, ICSE builds logical thinking early through set theory.

A set is a well-defined collection of objects. "Well-defined" means there should be no ambiguity about whether an object belongs to the set or not. This precision trains you to think logically — a skill that benefits all of maths.

The ICSE syllabus covers set notation, types of sets, basic operations (union, intersection, complement), and Venn diagrams. This worksheet gives you 60 questions covering all of these topics.

What Does This Worksheet Cover?

Aligned with the ICSE Class 6 Sets chapter:

- Set notation — roster form and set-builder form
- Membership — $\in$ and $\notin$ symbols
- Types of sets — empty set, singleton, finite, infinite, universal
- Equal sets and equivalent sets — same elements vs same count
- Subsets — when every element of A is in B
- Union ($\cup$) and Intersection ($\cap$)
- Complement of a set
- Venn diagrams — two-set diagrams with numbers

| Level | Focus | Count |
|-------|-------|-------|
| Level 1 | Write in set notation, identify types, membership, equal vs equivalent | 20 |
| Level 2 | Find union/intersection/complement, subset relationships, Venn diagrams | 20 |
| Level 3 | Venn diagram word problems, unknown values, three-operation problems | 20 |

Sample Questions

Level 1 — Warm Up

1. Write in roster form: "The set of all even numbers between $1$ and $11$."
2. If $A = \{a, e, i, o, u\}$, state whether (a) $a \in A$ (b) $b \in A$ (c) $u \in A$.
3. Classify as finite or infinite: (a) The set of whole numbers (b) The set of days in a week.

Level 2 — Build Confidence

1. If $A = \{1, 2, 3, 4, 5\}$ and $B = \{3, 4, 5, 6, 7\}$, find $A \cup B$ and $A \cap B$.
2. The universal set $U = \{1, 2, 3, \ldots, 10\}$ and $P = \{1, 3, 5, 7, 9\}$. Find $P'$.
3. Is $\{2, 4\} \subset \{1, 2, 3, 4, 5\}$? Explain.

Level 3 — Push Yourself

1. In a class of $40$ students, $25$ like cricket, $20$ like football, and $x$ like both. If $5$ students like neither sport, find $x$ using a Venn diagram.
2. If $A = \{x : x \text{ is a prime number less than } 20\}$ and $B = \{x : x \text{ is an odd number less than } 20\}$, find $A \cap B$ and list the elements of $B$ that are not in $A$.
3. Prove that for any set $A$: $A \cup \phi = A$ and $A \cap \phi = \phi$, where $\phi$ is the empty set.

Tips for ICSE Sets Questions

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Related Worksheets

Apply your set theory skills:

- Number System Class 6 ICSE Worksheet — number sets (natural, whole, integers)
- Basic Geometry Class 6 ICSE Worksheet — sets of shapes and angle types
- Data Handling Class 6 ICSE Worksheet — classify data using sets

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