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Free printable Futoshiki with answers

Futoshiki, also called Unequal or More or Less, is a Latin square ruled by inequalities. Fill the grid so every row and column holds each number once, and every greater-than sign between two cells is obeyed. Every puzzle here is proved to solve by logic alone, with no guessing.

By size

Size is what makes a Futoshiki harder: a bigger grid has more numbers to place and more signs to weigh at once. Start on a 4 by 4 and work up to a 7 by 7.

By name and audience

The same puzzle goes by several names, and suits several solvers. Unequal, More or Less, or a gentle grid for a child or a beginner, they all solve the same way.

One answer, proved by logic

The thing that makes a Futoshiki book worth printing is the guarantee most sellers cannot make: that the clues have exactly one completion, reachable without guessing. Every puzzle is generated by drawing a Latin square, carving its signs and givens away, and running a solver that proves the deductions alone finish it. The completed grid prints as the answer key, so it can never disagree with the clues.

How to solve a futoshiki

Fill the grid so each row and column holds every number once, while obeying the signs between squares.

The method

  1. 1Fill each row and column with 1 to N. Like a mini sudoku: every number appears once in each row and once in each column.
  2. 2Read every sign. The open side of a greater-than or less-than sign faces the larger number. Use the signs to rank neighbours.
  3. 3Chase the chains. A run of signs pointing the same way forces an order, and a long enough chain pins every number in the line.
  4. 4Combine signs with the row rule. Where a sign and the "each number once" rule agree, only one number fits. Place it and move on.
The one rule
Every row and column holds 1 to N once, and each square obeys the signs around it.
What the answer page shows
The completed grid is printed at the back.
How the grades differ
Bigger grids with fewer signs need more deduction.
Good for
Sudoku fans who want an extra twist from the inequality signs.

Make one now

Pick a size from a gentle 4 by 4 up to a 7 by 7, then print the puzzle and its answer. No sign-up, no watermark.

Make a Futoshiki book to sell on KDP

Hundreds of graded inequality-logic puzzles, any KDP trim, print-ready PDFs. Start free.