Arithmagon puzzles with circles up to 6

Triangles where each side is the product of the two circles it joins, with circle numbers from 2 to 6; students find all three circles.

What is on this worksheet

Triangles where each side is the product of the two circles it joins, with circle numbers from 2 to 6; students find all three circles.

  • Largest circle number: 6

You can change any of these settings above. Press "New problems" for a fresh set with the same settings, or pick Version A to Z to print different sheets for neighboring desks. The answer key always matches.

About arithmagon puzzles

Each arithmagon is a triangle with a number on every side. The side number is the product of the two circles at its ends, and students work backwards to find the circles.

It is a gentle introduction to factoring and to the algebra idea of solving for unknowns. Turn on the hint to give one circle for younger students.

Printing

US Letter or A4, portrait: choose your paper size above. Print at 100 percent (actual size). Use "Black and white" for the copier, or "Color" for display pages and mini books.

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