Concept 8 of 8
Venn Diagrams: Where Groups Overlap
Today's big idea
The overlap belongs to both groups, so a group's total = its own part plus the overlap.
6 play only cricket and 2 play both, so 6 + 2 = 8 play cricket in all.
How it works
👀 What's going on?
In a class, some children play cricket and some play football — and a few play BOTH. A Venn diagram draws two circles that overlap, and the overlap is exactly where the both children stand.
💡 Here's the trick
The two circles share a middle, and anyone in the middle is counted in BOTH circles. So the number who play cricket in ALL is the cricket-only part PLUS the middle — not just the cricket-only part.
- 1.Left-only part — plays cricket but NOT football.
- 2.Middle overlap — plays both games.
- 3.Right-only part — plays football but NOT cricket.
✍️ Try it
If 6 play only cricket, 2 play both and 5 play only football, then cricket in all = 6 + 2 = 8, and the whole class = 6 + 2 + 5 = 13.
⚠️ Watch out
Cricket in all is not just the left number — add the middle. And the whole class is all three parts added, counting the middle only once.
See it in action
⚡ Time to play!
How many children play BOTH games?
Quick check
✅ VERIFICATION
In this Venn, how many children play cricket in all? Tap the number.
⚡ Finish the activity above first to answer.
Keep going!