Free printable · With answers

Free Printable Futoshiki Puzzles

Fill every row and column with 1 to N. The arrows between cells point at the smaller number.

About Futoshiki Puzzles

Futoshiki means "inequality" in Japanese. It is a Latin square puzzle: no boxes, just a few given numbers and greater-than or less-than signs between neighbouring cells. The signs carry most of the information.

How to solve Futoshiki

  • Latin square: Each row and column holds every number from 1 to N exactly once.
  • Obey the signs: A sign between two cells says which one is larger. The open side faces the bigger number.
  • Givens: Some puzzles start with a few numbers printed.
  • Chains: A run of signs like a > b > c means the first cell is at least 3.

Reading the sheet

  • Signs sit in the gaps between cells.
  • The answer key prints the given numbers in bold.

Questions

Where do I start a Futoshiki?

Follow chains of signs. A cell that is bigger than two others in a row can never be 1 or 2, and the end of a long chain is often forced to 1 or N.

How do I save these as a PDF?

Press Print / Save PDF and choose "Save as PDF" as the printer. Press New puzzles for a different set; there are 500 to draw from.

Play Futoshiki online

Solve with undo, hints and a fresh puzzle whenever you want, right in your browser.