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MMathematicsS1 to S3Sets

Sets lab: Venn diagrams and number sets

Who plays football, who plays basketball, and who plays both? Sort a class survey with sets and see where every kind of number belongs.

⚽n(A ∪ B) = n(A) + n(B) − n(A ∩ B)sets, Venn diagrams and number sets
LevelS1 to S3 (and IGCSE)
TimeAbout 35 min
You useUnion, intersection, complement
PriceFree: no account

🎯 Aim

To use sets and Venn diagrams to organise data and to classify numbers.

You will learn to

  • Use set notation: ∪, ∩, complement.
  • Draw and read Venn diagrams.
  • Use n(A ∪ B) = n(A) + n(B) − n(A ∩ B).
  • Classify numbers as natural, integer, rational or irrational.

🧭 What to do

  1. Change the numbers in the survey and watch the Venn diagram.
  2. Read n(A ∪ B), the “only” regions and “neither”.
  3. Make n(A ∩ B) too large: what happens?
  4. Choose each Number and see which sets contain it.
  5. Answer the questions with the class data.
  6. Write your conclusion and download your lab report.

🔬 Lab bench

📋 The data

A survey of 40 learners.

🧠 Investigate: answer from the data

Type your answer and tap Check. Use 💡 Hint first; open the method only when you are stuck.

📄 My lab report

Your report collects the aim, your data table, the graphs, your answers and your conclusion. It is made on your phone or computer: nothing is sent to anyone.

Check your conclusion

The union counts everyone in A or B; adding n(A) and n(B) counts the intersection twice, so we subtract it once. The complement holds those in neither set. Number sets are nested: N ⊂ Z ⊂ Q ⊂ R; numbers such as √2 and π are real but irrational.

➕ Get more from this experiment

📝 Free

Print the worksheet (button above), download the data, and save your report. Teachers can project this page in class.

📦 Premium Lab Pack

1 000 RWF

  • Worksheet: survey your class and draw a three-set Venn diagram
  • Sets problems
  • Teacher guide and answer key
  • Exam-style questions with marking scheme

👩‍🏫 For teachers

Use it as a practical when apparatus is missing, as homework, or as a project. Free lesson plans help you plan, teach and assess.

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DONAT STEM Interactive Labs · original work by BIZIYAREMYE Donat · data are realistic models for learning · free forever