Hard arithmagon puzzles with circles up to 12

Triangles with side products up to 132, where students use factors and the 12 times table to work back to the three circle numbers.

What is on this worksheet

Triangles with side products up to 132, where students use factors and the 12 times table to work back to the three circle numbers.

  • Largest circle number: 12

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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