Practice Venn Diagram in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
A diagram using overlapping circles to visually represent sets and their relationships such as union, intersection, and complement.
Each circle represents a set; overlapping regions show shared elements; the rectangle border is the universal set.
Example 1
easyIn a class of 30 students, 18 study French, 12 study Spanish, and 5 study both. Use a Venn diagram to find how many study neither language.
Example 2
mediumGiven |A| = 20, |B| = 15, |A \cup B| = 28, find |A \cap B| using the inclusion-exclusion principle.
Example 3
mediumIn a survey of 50 people, 30 like tea, 25 like coffee, and 10 like both. How many like only tea? Only coffee? Neither?
Example 4
mediumIn a class of 30 students, 18 study French, 12 study Spanish, and 5 study both. How many study neither language?