Futoshiki Puzzles — 6x6

Free printable 6x6 futoshiki puzzles as PDFs with answer pages. Numbers 1 to 6 with inequality chains. No sign-up, no email.

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A 6x6 futoshiki holds thirty-six cells and the numbers 1 to 6, which is enough range that a single greater-than sign rules out very little on its own. These grids are solved in layers: prune the impossible extremes from the signs, run the row and column eliminations, then go back to the signs with a smaller candidate set and prune again. Two or three passes of that loop usually crack it. If you have been solving 5x5 grids in a few minutes, expect these to take two or three times as long.

One 6x6 futoshiki grid per page, printed with clear inequality signs and cells sized to hold both a final answer and pencilled candidates. Given numbers, where present, are set in a heavier weight than your own entries will be. Each puzzle has an answer page with the finished grid. Black and white, one puzzle per US Letter sheet.

Futoshiki 6x6 01 Futoshiki 6x6 01Download PDF ↓ Futoshiki 6x6 02 Futoshiki 6x6 02Download PDF ↓ Futoshiki 6x6 03 Futoshiki 6x6 03Download PDF ↓ Futoshiki 6x6 04 Futoshiki 6x6 04Download PDF ↓ Futoshiki 6x6 05 Futoshiki 6x6 05Download PDF ↓ Futoshiki 6x6 06 Futoshiki 6x6 06Download PDF ↓ Futoshiki 6x6 07 Futoshiki 6x6 07Download PDF ↓ Futoshiki 6x6 08 Futoshiki 6x6 08Download PDF ↓ Futoshiki 6x6 09 Futoshiki 6x6 09Download PDF ↓ Futoshiki 6x6 10 Futoshiki 6x6 10Download PDF ↓

Related printables

Futoshiki Puzzles — 4x4Futoshiki Puzzles — 5x5Futoshiki Puzzles — 7x7

Frequently asked questions

What does a chain of signs tell me on a 6x6?
A rising chain of n cells forces the smallest to be at most 7 minus n and the largest to be at least n. So in a chain of four rising cells, the first cannot exceed 3 and the last cannot be below 4. On a 6x6 this is the single most productive deduction, because long chains are common and each one prunes four cells at once.
Are 6x6 futoshiki harder than 6x6 sudoku?
Generally yes, because 6x6 sudoku has box constraints that give you three separate ways to eliminate a candidate, while futoshiki has only rows, columns and the signs. Futoshiki also tends to start with far fewer given digits.
Can the same sign appear between every pair of cells?
In principle a puzzle could show many signs, but constructors use only as many as the puzzle needs to have a single solution. A grid with very few signs is not necessarily harder — sometimes one well-placed chain does more than six scattered signs.
Do I need to know any math?
Only the ability to compare two numbers and to read the greater-than and less-than symbols. There is no arithmetic in futoshiki at all — no adding, no multiplying, just ordering and elimination.