Venn Diagram Logic With Set Counts
Written by Adi Ackerman, Head Teacher
"Venn Diagram Logic With Set Counts" is written for 7th Grade (Ages 12-13). A 6th grader who is already steady on math puzzles can use it too, and an older student can use it as a short review.


7th grade math worksheet: fill a three-circle Venn diagram from survey clues, then find a percent and a fraction of 40 students. Answer key included. Part of our logic puzzles collection.
How do I use this worksheet?
Start with a logic grid such as Logic Grid, Four Fair Booth Shifts, then move to puzzles with number clues. Have students mark X and dots in pencil and check each clue once the table is full.
What students will practice
- Students will place survey counts in the regions of a Venn diagram for Music, Art and Sports.
- Students will use overlap clues to work out how many students are in exactly one, two or three clubs.
- Students will write a percent and a fraction in simplest form for parts of the 40 students surveyed.
Curriculum Links
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FAQ
How do I use this logic puzzles worksheet?
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Start with a logic grid such as Logic Grid, Four Fair Booth Shifts, then move to puzzles with number clues. Have students mark X and dots in pencil and check each clue once the table is full.
What does this worksheet teach?
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Fill a three-circle Venn diagram from survey clues, then find a percent and a fraction of 40 students. The directions on the page read: A school surveyed students about three clubs. Use the clues to write the number of students in each region. Then answer the questions, with the fraction in simplest form. An answer key is included.
Can I use this logic puzzles worksheet for homeschool or classroom?
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Yes, both. We made it for 7th grade math puzzles, and it works the same at home or at school. At home, a student can work through it alone and then go over it with you, which shows quickly what is solid and what needs another look. In class it works as independent practice, homework or a warm-up, and you can print one copy or a full set.
How do you solve a logic grid puzzle?
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Read every clue and mark X in the grid where a pairing cannot be true. Mark a dot or circle where it must be true. Repeat until each person has one match, then copy the matches into the table.
What math appears in these logic puzzles?
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The clues use integers, percents of $400, ratios of ages, fractions of an hour and fractions of page counts. One sheet uses a Venn diagram of survey counts and another uses equations for balanced scales.
What is a nonogram?
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A nonogram is a picture puzzle with number clues beside each row and above each column. The numbers give the length of each group of shaded squares in order. The 10 by 10 sheet includes a finished small example to study first.
Do the logic puzzle sheets have answer keys?
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Yes. All 16 sheets have an answer key that shows the solved grid and table.
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Worksheet Details
| Grade | 7th Grade |
| Subject | Math |
| Topic | Math Puzzles |
| Pages | 1 page |
| Difficulty | Medium |
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