Sorting with Venn Diagrams (Grades 6–7)
A Venn diagram sorts items by their properties. Two overlapping circles create four regions: only-A, only-B, both (the overlap), and neither (outside).
Understanding venn diagrams & sets
Sorting a number like 6 by "even" and "greater than 5": it's even and greater than 5, so it goes in the overlap.
Seeing it in action
Worked example
Sort 6 by "even" (A) and "greater than 5" (B).
6 is even ✓ and greater than 5 ✓ → it belongs in the overlap (both A and B).
The numbers 1 to 10, sorted. 6 is even and greater than 5, so it sits in the overlap; 4 is A only; 3 is in neither circle.
A common mistake, and the fix
Putting an item that fits both properties in only one circle.
6 is even and greater than 5, so it belongs in the overlap, not just in the “even” circle. An item that fits neither property still goes on the diagram, outside both circles.
Try a few
Sort 3 by "even" and ">5"
odd, and not >5.
Sort 8 by "even" and ">5"
Sort 4 by "even" and ">5"
even, but not >5.
Two-Ring Outpost
A calm two-circle Venn diagram game for sorting sets and practicing AND/OR logic.
More logic & counting in Numeris.
Numeris doesn't have a star for venn diagrams & sets yet, but its logic & counting constellation practises the skills around it.
Put the reasoning on paper.
Try six fraction, angle, perimeter and area questions with explained answers, for grades 4–6.
Free printable · 3 pagesText version (screen-reader friendly): Draw it. Explain it. Math sample
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