Futoshiki is a Latin-square logic puzzle. Fill the grid so every row and column holds each number from 1 to the grid size exactly once, and every greater-than or less-than sign between two cells is obeyed. The signs and a few given numbers are the clues.

Is this Futoshiki generator free?

Yes. Pick a difficulty, generate a puzzle and print the grid plus its answer, with no sign-up and no watermark. It is free for classroom, home and personal use.

Does every puzzle solve by logic alone?

Yes. Every puzzle is generated so that the Latin-square and inequality rules alone complete the grid, with no guessing, and that is verified by the same solver our Publisher Studio uses. A puzzle is never ambiguous or unsolvable.

Does it include the answer?

Yes. Every puzzle prints as two pages: the grid of givens and signs on page one and the completed grid on page two, so you can check your work.

What size are the pages?

The free tool prints at 8.25 by 11 inches, a popular large-print size. Our Publisher Studio will export the same book at any KDP trim, from 5.06 by 7.81 up to 8.27 by 11.69, as a print-ready 300 DPI interior.

Free tool

Free Futoshiki generator, with the answer

Pick a size and generate an inequality-logic puzzle, then print it with its answer. Every puzzle solves by logic alone, with no sign-up and no watermark. It runs on the same engine as our KDP Publisher Studio.

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 make a Futoshiki

1Pick a difficulty. Choose a grid size from a gentle 4 by 4 up to a 7 by 7. Larger grids have more rows and columns to fill, so the solve takes longer.
2Generate the puzzle. Press Generate puzzle. You get a fresh grid with a few given numbers and the greater-than signs between cells. Every puzzle is proved to solve by logic, with no guessing.
3Print the two pages. Press Print / save PDF. You get two pages: the puzzle with its signs on page one and the completed grid on page two.

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.

Publishing a whole book?

This tool makes one puzzle for home or the classroom. To make a Futoshiki book you can sell on Amazon KDP, Publisher Studio generates hundreds of graded inequality-logic puzzles across a difficulty curve, at any KDP trim, as a print-ready interior and solutions PDF.

See the KDP Futoshiki maker

Questions

What is a Futoshiki?: Futoshiki is a Latin-square logic puzzle. Fill the grid so every row and column holds each number from 1 to the grid size exactly once, and every greater-than or less-than sign between two cells is obeyed. The signs and a few given numbers are the clues.
Is this Futoshiki generator free?: Yes. Pick a difficulty, generate a puzzle and print the grid plus its answer, with no sign-up and no watermark. It is free for classroom, home and personal use.
Does every puzzle solve by logic alone?: Yes. Every puzzle is generated so that the Latin-square and inequality rules alone complete the grid, with no guessing, and that is verified by the same solver our Publisher Studio uses. A puzzle is never ambiguous or unsolvable.
Does it include the answer?: Yes. Every puzzle prints as two pages: the grid of givens and signs on page one and the completed grid on page two, so you can check your work.
What size are the pages?: The free tool prints at 8.25 by 11 inches, a popular large-print size. Our Publisher Studio will export the same book at any KDP trim, from 5.06 by 7.81 up to 8.27 by 11.69, as a print-ready 300 DPI interior.

Short of ideas? Browse our ready-made printables for this puzzle and print one today.