Are these medium futoshiki free to print?

Yes. Generate the puzzle above and print it with its answer, at no cost and with no sign-up. It is free for classroom, home and personal use.

Does every puzzle solve by logic?

Yes. Every puzzle is generated so that the Latin-square and inequality rules alone complete the grid, with no guessing, and that is verified before it prints. The answer is on the second page.

Can I make a Futoshiki book to sell on KDP?

Yes. The free tool makes one puzzle. The KDP Futoshiki maker generates hundreds of graded puzzles at any KDP trim, as a print-ready 300 DPI interior and solutions PDF, so you can publish a book.

Free printable

Medium Futoshiki

A 5 by 5 Futoshiki is the everyday size: enough cells that you chain the inequalities against the row and column rule, few enough to finish in a sitting. Every puzzle has exactly one answer, reachable by logic alone, and it prints on the second page.

Difficulty

Larger grids have more cells to fill. Every puzzle solves by logic, with no guessing.

5×5, 0 given numbers. Fill 1 to 5 once per row and column, obeying every greater-than sign.

Two pages: the puzzle and its completed grid. Every puzzle is proved to solve by logic alone, by the same engine as our KDP studio.

Want the whole book?

This makes one puzzle. Sign up to turn it into a full Futoshiki book for Amazon KDP: hundreds of graded inequality-logic puzzles at any trim, as print-ready PDFs.

Build the full book

Free to build · pay once to export

Preview

The puzzle and its completed grid, as they print.

Futoshiki Medium

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Futoshiki Medium · Solution

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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

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.
2Read every sign. The open side of a greater-than or less-than sign faces the larger number. Use the signs to rank neighbours.
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.
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.

Making a whole Futoshiki book?

This page makes one puzzle. To publish a book on Amazon KDP, the KDP Futoshiki maker generates hundreds of graded puzzles at any trim, as a print-ready 300 DPI interior and solutions PDF. Generate once, export unlimited sizes.

More printable Futoshiki

See every printable Futoshiki

Questions

Are these medium futoshiki free to print?: Yes. Generate the puzzle above and print it with its answer, at no cost and with no sign-up. It is free for classroom, home and personal use.
Does every puzzle solve by logic?: Yes. Every puzzle is generated so that the Latin-square and inequality rules alone complete the grid, with no guessing, and that is verified before it prints. The answer is on the second page.
Can I make a Futoshiki book to sell on KDP?: Yes. The free tool makes one puzzle. The KDP Futoshiki maker generates hundreds of graded puzzles at any KDP trim, as a print-ready 300 DPI interior and solutions PDF, so you can publish a book.