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Venn Diagrams: Counting with Two Sets — Easy Worksheet 2
Grade 6 · MathSheets Name: ____________________ Date: __________
Picture a Venn diagram with two overlapping circles. Answer with a number.
How to solve
Draw two overlapping circles. The overlap holds the ones in both groups, so "only the first group" is the first circle minus the overlap. Everyone in at least one group = first circle + second circle - overlap. Neither = total - (at least one group).
Example
In a Venn diagram, 4 students only have a dog, 2 only have a cat, 4 do both, and 2 do neither. How many students are there in all?
Answer: 12
✓ Correct!
Not quite. The answer is
💡 How to solve: Venn Diagrams: Counting with Two Sets
Draw two overlapping circles. The overlap holds the ones in both groups, so "only the first group" is the first circle minus the overlap. Everyone in at least one group = first circle + second circle - overlap. Neither = total - (at least one group).
Try a similar one
In a Venn diagram, 2 people only read books, 3 only watch movies, 9 do both, and 8 do neither. How many people are there in all?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Venn Diagrams: Counting with Two Sets
Draw two overlapping circles. The overlap holds the ones in both groups, so "only the first group" is the first circle minus the overlap. Everyone in at least one group = first circle + second circle - overlap. Neither = total - (at least one group).
Try a similar one
In a Venn diagram, 3 students only play soccer, 6 only play basketball, 2 do both, and 10 do neither. How many students are there in all?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Venn Diagrams: Counting with Two Sets
Draw two overlapping circles. The overlap holds the ones in both groups, so "only the first group" is the first circle minus the overlap. Everyone in at least one group = first circle + second circle - overlap. Neither = total - (at least one group).
Try a similar one
In a Venn diagram, 4 students only have a dog, 7 only have a cat, 7 do both, and 3 do neither. How many students are there in all?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Venn Diagrams: Counting with Two Sets
Draw two overlapping circles. The overlap holds the ones in both groups, so "only the first group" is the first circle minus the overlap. Everyone in at least one group = first circle + second circle - overlap. Neither = total - (at least one group).
Try a similar one
In a Venn diagram, 7 children only like swimming, 3 only like biking, 10 do both, and 7 do neither. How many children are there in all?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Venn Diagrams: Counting with Two Sets
Draw two overlapping circles. The overlap holds the ones in both groups, so "only the first group" is the first circle minus the overlap. Everyone in at least one group = first circle + second circle - overlap. Neither = total - (at least one group).
Try a similar one
In a Venn diagram, 4 students only have a dog, 6 only have a cat, 6 do both, and 3 do neither. How many students are there in all?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Venn Diagrams: Counting with Two Sets
Draw two overlapping circles. The overlap holds the ones in both groups, so "only the first group" is the first circle minus the overlap. Everyone in at least one group = first circle + second circle - overlap. Neither = total - (at least one group).
Try a similar one
In a Venn diagram, 5 people only like apples, 4 only like bananas, 8 do both, and 4 do neither. How many people are there in all?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Venn Diagrams: Counting with Two Sets
Draw two overlapping circles. The overlap holds the ones in both groups, so "only the first group" is the first circle minus the overlap. Everyone in at least one group = first circle + second circle - overlap. Neither = total - (at least one group).
Try a similar one
In a Venn diagram, 9 people only like apples, 6 only like bananas, 2 do both, and 3 do neither. How many people are there in all?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Venn Diagrams: Counting with Two Sets
Draw two overlapping circles. The overlap holds the ones in both groups, so "only the first group" is the first circle minus the overlap. Everyone in at least one group = first circle + second circle - overlap. Neither = total - (at least one group).
Try a similar one
In a Venn diagram, 9 students only take art, 2 only take music, 9 do both, and 2 do neither. How many students are there in all?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
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Venn Diagrams: Counting with Two Sets — Easy Worksheet 2
Picture a Venn diagram with two overlapping circles. Answer with a number.