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Sets & Venn Diagrams Class 6 IB Worksheet Free PDF Download with Answers

Organise, classify, and find overlaps. 60 questions on set notation, union, intersection, complement, and Venn diagram problems.

IBClass 6
SparkEd Team · Reviewed by Vivek Verma15 April 20267 min read
Sets and Venn Diagrams Class 6 IB Worksheet — SparkEd

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45 practice questions across 3 difficulty levels with complete answer keys. Printable A4 format, perfect for revision!

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. Whether you searched for a maths class 6 worksheet or a worksheet math class 6 resource, you have landed in the right place. SparkEd's Class 6 maths practice covers the full IB MYP syllabus with 60 questions per topic, and each worksheet comes as a printable PDF.

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Each maths worksheet for class 6 includes a mix of short-answer, long-answer, and maths questions and answers for class 6 in MCQ format. You get a complete maths worksheet for class 6 with answers, making self-study easy. The content is suitable as a maths worksheet for class 6 cbse as well as a maths worksheet for class 6 ncert resource — both boards follow the same core syllabus. Looking for a simpler label? It is the same math worksheet for class 6 you need.

For revision before exams, try the maths worksheet for class 6th with answers alongside our maths mcq for class 6 with answers sets. Teachers can use the class 6 maths mcq question paper bank for quick classroom tests. Browse all class 6 maths worksheets cbse topics on the All Class 6 worksheets page, or start with the popular Number Play worksheet. Ready to practise? Head to SparkEd home and pick your chapter.

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IB MYP Maths Worksheet — Free PDF with Answers

SparkEd's IB MYP Year 1 maths worksheets are designed for students in the International Baccalaureate Middle Years Programme. Each worksheet has 60 questions across three difficulty levels, with complete step-by-step answers.

Whether you are encountering sets for the first time or preparing for a criterion assessment, these worksheets are free to download as printable PDFs.

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

Sets and Venn Diagrams — The Art of Classification

A set is simply a collection of objects defined by a clear rule. The IB MYP framework uses sets and Venn diagrams as powerful tools for logical thinking and data organisation. Venn diagrams make abstract relationships visual — you can see which items belong to both groups, which belong to only one, and which belong to neither.

Sets connect to many areas of maths: number types (even, odd, prime), probability (outcomes belonging to events), and data handling (classification). Mastering set notation and Venn diagrams at this stage prepares you for logic, probability, and statistics in later MYP years.

This worksheet covers everything from basic set notation to solving multi-step Venn diagram problems.

What Does This Worksheet Cover?

Aligned with the IB MYP Year 1 mathematics framework:

- Set notation — listing elements, set-builder notation, \in and \notin
- Types of sets — finite, infinite, empty set, universal set
- Subsets — when every element of one set belongs to another
- Union (\cup) — elements in either set or both
- Intersection (\cap) — elements in both sets
- Complement (AA') — elements NOT in the set
- Venn diagrams — two-set and three-set diagrams with numbers

| Level | Focus | Count |
|-------|-------|-------|
| Level 1 | List elements, identify membership, basic union/intersection | 20 |
| Level 2 | Draw Venn diagrams, find complement, subset relationships | 20 |
| Level 3 | Solve Venn diagram problems with unknowns, three-set problems | 20 |

Sample Questions

Level 1 — Warm Up

  1. Let A={2,4,6,8,10}A = \{2, 4, 6, 8, 10\}. Is 7A7 \in A? Is 4A4 \in A?
  2. Find ABA \cup B if A={1,3,5}A = \{1, 3, 5\} and B={3,5,7,9}B = \{3, 5, 7, 9\}.
  3. Find ABA \cap B using the same sets from Question 2.

Level 2 — Build Confidence

  1. The universal set U={1,2,3,,10}U = \{1, 2, 3, \ldots, 10\} and P={2,3,5,7}P = \{2, 3, 5, 7\}. Find PP' (the complement of PP).
  2. Draw a Venn diagram: In a class of 3030, 1818 play football, 1212 play cricket, and 55 play both. How many play neither?
  3. Is {2,4}\{2, 4\} a subset of {1,2,3,4,5}\{1, 2, 3, 4, 5\}? Explain.

Level 3 — Push Yourself

  1. In a survey of 6060 students: 3535 like maths, 3030 like science, and xx like both. If 1010 like neither, find xx.
  2. Draw a Venn diagram for three sets: AA = multiples of 22 up to 2020, BB = multiples of 33 up to 2020, CC = multiples of 55 up to 2020. Find ABCA \cap B \cap C.
  3. In a group of 5050 people, 2828 speak English, 2323 speak French, and 88 speak both. What fraction of the group speaks only one language?

Tips for Sets and Venn Diagrams

Tips for Sets and Venn Diagrams

1. Always start a Venn diagram from the intersection. Fill in the overlap first, then work outwards. This prevents double-counting.

2. The key formula for two sets: n(AB)=n(A)+n(B)n(AB)n(A \cup B) = n(A) + n(B) - n(A \cap B). You subtract the intersection because it gets counted twice.

3. Do not forget the "neither" region. Total = elements in AA only + elements in BB only + elements in both + elements in neither.

4. Use curly braces for sets. A={1,2,3}A = \{1, 2, 3\} is correct set notation. Square brackets [1,2,3][1, 2, 3] or round brackets (1,2,3)(1, 2, 3) mean something different in maths.

5. The empty set is a subset of every set. And every set is a subset of itself. These are edge cases that often appear in IB assessments.

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Get the full Sets and Venn Diagrams worksheet with 60 questions and step-by-step answers.

Download here: Sets & Venn Diagrams Class 6 IB Worksheet

Practice online: Sets & Venn Diagrams — Online Practice

Related Worksheets

Explore related topics:

- Probability Introduction Class 6 IB Worksheet — Venn diagrams are used in probability problems
- Data Collection & Display Class 6 IB Worksheet — organise data using sets
- Number Operations Class 6 IB Worksheet — number sets (even, odd, prime) apply set concepts

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Download Free Worksheet PDF

45 practice questions across 3 difficulty levels with complete answer keys. Printable A4 format, perfect for revision!