What is Venn Diagram?

A Venn diagram is a way of classifying groups or sets of objects with the same properties.

In more advanced mathematics, venn diagrams are a part of set theory.

Typically, a venn diagram has one, two or three circles that intersect each other.

There is also typically a rectangle that the circles are inside which represents the universal set.

The universal set is the place where everything that is being sorted has to go inside.

This short video shows you what a venn diagram is and how they work using worked examples.

The simplest venn diagrams just have one set (which is usually a circle) inside the universal set.

The set is labelled with the property it has.

Any numbers or objects to sort which have this property go inside this set.

Any numbers or objects which do not have this property go outside this set in the universal set.

The most common venn diagrams have two sets (usually circles) inside the universal set.

The circles will intersect each other and have an area in common.

Each circle or set is labelled with the property it has.

Any numbers or objects which have both properties go in the intersection of the circles.

Any numbers or objects which have just one property go into the set with the property (but not the intersection).

Any numbers or objects which do not have either property go outside this set in the universal set.

These venn diagrams work in a very similar way to the diagrams with two circles.

The circles will intersect each other and there will usually be an area where all 3 circles intersect.

Each circle or set is labelled with the property it has.

Any numbers or objects which have all the properties go in the intersection of the 3 circles.

Any numbers or objects which have two of the properties go in the intersection of the 2 circles which have the properties.

Any numbers or objects which have just one property go into the set with the property (but not the intersections).

Any numbers or objects which do not have any of the properties go outside the sets in the universal set.

If the sheets here are too tricky, then take a look at our 3rd grade venn diagram sheets.

These sheets involve sorting and classifying shapes, numbers and other objects at a 3rd grade level.

The Math Salamanders hope you enjoy using these free printable Math worksheets and all our other Math games and resources.

We welcome any comments about our site or worksheets on the Facebook comments box at the bottom of every page.