Why does the overlap get counted twice?

Students who like both activities are counted in each circle's total, so you subtract the overlap once to avoid double counting.

How do I print or save these worksheets as a PDF?

Click Print worksheet and choose your printer, or pick “Save as PDF” as the destination to keep a digital copy. The answer key prints on its own page.

Can I get a fresh set of problems?

Yes. Click New problems for a brand new randomly generated worksheet, as many times as you like.

Is this worksheet generator free?

Yes. Every generator on the site is free to use, with no account, no watermark and unlimited printing for classroom or home use.

Venn diagram worksheet generator

Two-circle Venn diagram word problems. Students sort out the overlap and find how many belong to only one set, both, or neither.

Venn Diagrams

Name: Date:

1.
In a class, 13 students like reading, 15 like drawing, and 8 like both. How many like only drawing?
2.
In a class, 6 students like reading, 14 like drawing, and 4 like both. How many students like at least one of them?
3.
In a class, 17 students like reading, 16 like drawing, and 5 like both. How many like only drawing?
4.
In a class, 10 students like reading, 8 like drawing, and 3 like both. How many students like at least one of them?
5.
In a class, 16 students like pizza, 16 like tacos, and 6 like both. How many like only tacos?
6.
In a class, 7 students like reading, 6 like drawing, and 2 like both. How many like only reading?
7.
In a class, 5 students like reading, 11 like drawing, and 3 like both. How many like only drawing?
8.
In a class, 5 students like reading, 12 like drawing, and 3 like both. How many like only reading?
9.
In a class, 15 students like soccer, 18 like tennis, and 6 like both. How many like only tennis?
10.
In a class, 16 students like dogs, 19 like cats, and 8 like both. How many like only dogs?
11.
In a class, 10 students like dogs, 12 like cats, and 3 like both. How many like only dogs?
12.
In a class, 13 students like soccer, 18 like tennis, and 7 like both. How many like only soccer?
13.
In a class, 13 students like pizza, 9 like tacos, and 3 like both. How many like only tacos?
14.
In a class, 8 students like reading, 14 like drawing, and 2 like both. How many students like at least one of them?
15.
In a class, 6 students like soccer, 12 like tennis, and 4 like both. How many like only tennis?
16.
In a class, 14 students like soccer, 15 like tennis, and 3 like both. How many students like at least one of them?
17.
In a class, 14 students like soccer, 16 like tennis, and 4 like both. How many students like at least one of them?
18.
In a class, 15 students like pizza, 10 like tacos, and 8 like both. How many students like at least one of them?

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Venn Diagrams

Name: Date:

19.
In a class, 14 students like reading, 18 like drawing, and 6 like both. How many students like at least one of them?
20.
In a class, 15 students like soccer, 14 like tennis, and 8 like both. How many like only soccer?

www.timvandevall.com© Tim’s Printables LLC · Page 2 of 2

Venn Diagrams — Answer Key

Name: Date:

1.
In a class, 13 students like reading, 15 like drawing, and 8 like both. How many like only drawing?
7
2.
In a class, 6 students like reading, 14 like drawing, and 4 like both. How many students like at least one of them?
16
3.
In a class, 17 students like reading, 16 like drawing, and 5 like both. How many like only drawing?
11
4.
In a class, 10 students like reading, 8 like drawing, and 3 like both. How many students like at least one of them?
15
5.
In a class, 16 students like pizza, 16 like tacos, and 6 like both. How many like only tacos?
10
6.
In a class, 7 students like reading, 6 like drawing, and 2 like both. How many like only reading?
5
7.
In a class, 5 students like reading, 11 like drawing, and 3 like both. How many like only drawing?
8
8.
In a class, 5 students like reading, 12 like drawing, and 3 like both. How many like only reading?
2
9.
In a class, 15 students like soccer, 18 like tennis, and 6 like both. How many like only tennis?
12
10.
In a class, 16 students like dogs, 19 like cats, and 8 like both. How many like only dogs?
8
11.
In a class, 10 students like dogs, 12 like cats, and 3 like both. How many like only dogs?
7
12.
In a class, 13 students like soccer, 18 like tennis, and 7 like both. How many like only soccer?
6
13.
In a class, 13 students like pizza, 9 like tacos, and 3 like both. How many like only tacos?
6
14.
In a class, 8 students like reading, 14 like drawing, and 2 like both. How many students like at least one of them?
20
15.
In a class, 6 students like soccer, 12 like tennis, and 4 like both. How many like only tennis?
8
16.
In a class, 14 students like soccer, 15 like tennis, and 3 like both. How many students like at least one of them?
26
17.
In a class, 14 students like soccer, 16 like tennis, and 4 like both. How many students like at least one of them?
26
18.
In a class, 15 students like pizza, 10 like tacos, and 8 like both. How many students like at least one of them?
17

Venn Diagrams — Answer Key

Name: Date:

19.
In a class, 14 students like reading, 18 like drawing, and 6 like both. How many students like at least one of them?
26
20.
In a class, 15 students like soccer, 14 like tennis, and 8 like both. How many like only soccer?
7

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Frequently asked questions

Why does the overlap get counted twice?: Students who like both activities are counted in each circle's total, so you subtract the overlap once to avoid double counting.
How do I print or save these worksheets as a PDF?: Click Print worksheet and choose your printer, or pick “Save as PDF” as the destination to keep a digital copy. The answer key prints on its own page.
Can I get a fresh set of problems?: Yes. Click New problems for a brand new randomly generated worksheet, as many times as you like.
Is this worksheet generator free?: Yes. Every generator on the site is free to use, with no account, no watermark and unlimited printing for classroom or home use.