Shark Learning
Grade 4/Data & Graphing

Completing Venn Diagrams

Use given data to find missing numbers in a Venn Diagram.
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Easy
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12 questions
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Medium
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Hard
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Pro
12 questions

Practice Questions

  1. In a class, 12 students like Pizza and 5 like BOTH Pizza and Burgers. How many students like ONLY Pizza?
    Show answer

    (A) 7

  2. 20 students like Red. 8 students like ONLY Red. How many students like BOTH Red and Blue?
    Show answer

    (A) 12

  3. 15 students like Cats ONLY. 10 students like BOTH Cats and Dogs. What is the Total number of students who like Cats?
    Show answer

    (A) 25

  4. There are 30 students in total. 10 like Math only. 12 like Science only. How many like BOTH?
    Show answer

    (A) 8

  5. 14 students like Soccer. 6 students like BOTH Soccer and Tennis. How many like ONLY Soccer?
    Show answer

    (A) 8

Quick Tip
Use the clues to fill in the Venn diagram. Remember: 'Total' includes the middle part!
Teacher Resources
Teaching Notes

Encourage students to write the 'Total' number next to the label (e.g., 'Dogs (12)').

Vocabulary
Total: The entire amount in a set.
Subtract: Take away a part from the whole.
Common Mistakes
  • Subtracting the 'Only' part from the Total instead of the 'Both' part
  • Double-counting the intersection
  • Confusing 'total' with sum of visible regions
  • Not subtracting intersection for unique values
  • Misinterpreting 'likes both' vs. 'likes A'
Differentiation
SupportUse counters to represent the total and move them into the circles.
ChallengeTry problems with 3 circles.
Discussion Questions
  • If I know the 'Only' parts and the 'Both' part, how do I find the Total?
  • What does the overlapping part mean?
  • How is this useful for organizing data?
  • How do you find people who only like A?
  • What if everyone liked both things?
Extension Activities
  • Create your own Venn diagram survey for the class.
Parent Tip

Give your child 10 stickers. Take away 3. Ask how many are left.

Learning Path
Skill Cluster

Data Analysis and Logic

Estimated Time

15 minutes

Skills Practiced
Venn diagram construction