The following worksheets will teach your students how to use Venn diagrams to solve problems.

In math we use Venn diagrams to help us understand and display relationships between collections of things. Venn diagrams can get very complex and contain multiple circles, but here we are just going to use the standard form of Venn diagrams. This allows us to compare two distinct characteristics of the data and where our collections of things fall into those categories.

How Do You Use Venn Diagrams in Logic Problems? Venn diagrams are also called primary diagrams, set diagrams, or logic diagrams. John Venn was the first to introduce Venn diagrams in 1880, and since then, these diagrams have taken their name after him. Venn diagram organizes information without making it look dull and boring. It solves complex mathematical questions. It helps reason logic and compares the data set. Venn diagrams are drawn in circles, overlapped on each other, to simplify logical problems and questions. The organized information and graphical representations differentiate between two sets or more items. These worksheets explain how to create and manipulate the use of Venn diagrams. Your students will use the following activity sheets to learn how to construct Venn diagrams to sort data sets and answer questions about them. Note that extra paper will be required.

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Math Venn Diagrams Worksheets

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Venn Diagrams Lesson and Practice Page 1

Students will learn how to answer a question using Venn diagrams. A sample problem is solved entirely for you.

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Lesson and Practice Page 2

Use a Venn diagram to map the following: A survey was done in the class of thirty students that 15 students are interested in taking English Composition and 8 interested in Chemistry. If six students are interested in taking both of them, determine how many students are not interested in any of them? Two practice problems are provided.


I would suggest creating Venn diagrams to make sense of these questions. Example: A sports faculty wants 60 students for the sports teams, from 60 students 35 students are taking cricket, 10 students are in the baseball team, and 10 students participate in both games. Evaluate the number of students who are not participating in any of the games?

Worksheet 2

Use a series of Venn diagrams to help you answer the questions. Ten problems are provided. Exercise example: In the hostel of 100 students, 34 students watch TV in the mean time and 27 students read in the mean time. If 7 students read and watch TV, calculate how many of them didn't like to read and watch TV.

Review and Practice Page 1

This worksheet reviews how to use a Venn diagram. A sample problem is entirely done for you. Here is the setup: In a recent poll of 1,000 registered voters, 30% said they have always been a Republican, 50% said they have always been a Democrat, and the remaining respondents said they have switched from one party to another at some point in their lives.

Review and Practice Page 2

Make a Venn diagram to solve this: In the Asian games there are 1,200 players, 450 players are in the javelin throw, 500 players are in hockey, and 20 players participate in both activities. How many players are involved in either in javelin throw or hockey. Six practice problems are provided.


Students demonstrate their proficiency working with word problems and visuals. Ten problems are provided.

Skills Check

Use what you have available to you to make sense of questions like: 400 students, 115 students are in the band, 200 students are on sports teams, and 50 students participate in both activities. How many students are involved in either band or sports?