7x7 Futoshiki Puzzles

Seven digits, seven rows, seven columns, and up to twenty-eight signs: the 7x7 futoshiki is the long form of the game, where a single grid can fill a quiet evening. The method does not change, but the middle digits, 3, 4 and 5, hide longer, and the chains of signs that cross the grid are what finally pins them.

These eight puzzles give one large grid per page, with at most three given digits and one grid with none at all. Each has a single solution that logic alone can reach, and the book gathers the eight pages.

Part of the Futoshiki Puzzles collection, Last updated on Tue, 27 Oct 2026 17:51:38 GMT.

Free Printables

7x7 Futoshiki, Puzzle 1

7x7 futoshiki with three given digits and twenty-four signs: three footholds, then the chains. Puzzle 1 of 8.
7x7 futoshiki with three given digits and twenty-four signs: three footholds, then the chains. Puzzle 1 of 8. | zuzuzi.com

7x7 Futoshiki, Puzzle 2

7x7 futoshiki with two given digits and twenty-two signs; look first for the rows where the 7 has a single place left. Puzzle 2 of 8.
7x7 futoshiki with two given digits and twenty-two signs; look first for the rows where the 7 has a single place left. Puzzle 2 of 8. | zuzuzi.com

7x7 Futoshiki, Puzzle 3

7x7 futoshiki with three given digits and nineteen signs, the sparsest grid of the set: the row and column rule carries more of the work. Puzzle 3 of 8.
7x7 futoshiki with three given digits and nineteen signs, the sparsest grid of the set: the row and column rule carries more of the work. Puzzle 3 of 8. | zuzuzi.com

7x7 Futoshiki, Puzzle 4

7x7 futoshiki with two given digits and twenty-five signs; the longest chains of signs give the first digits. Puzzle 4 of 8.
7x7 futoshiki with two given digits and twenty-five signs; the longest chains of signs give the first digits. Puzzle 4 of 8. | zuzuzi.com

7x7 Futoshiki, Puzzle 5

7x7 futoshiki with two given digits and twenty-six signs, one of the two densest grids of the set. Puzzle 5 of 8.
7x7 futoshiki with two given digits and twenty-six signs, one of the two densest grids of the set. Puzzle 5 of 8. | zuzuzi.com

7x7 Futoshiki, Puzzle 6

7x7 futoshiki with twenty-eight signs and no given digit at all, the hardest grid of the set: every one of the forty-nine cells comes from the signs. Puzzle 6 of 8.
7x7 futoshiki with twenty-eight signs and no given digit at all, the hardest grid of the set: every one of the forty-nine cells comes from the signs. Puzzle 6 of 8. | zuzuzi.com

7x7 Futoshiki, Puzzle 7

7x7 futoshiki with two given digits and twenty-four signs, a grid for the second half of the set, at the average density of the collection. Puzzle 7 of 8.
7x7 futoshiki with two given digits and twenty-four signs, a grid for the second half of the set, at the average density of the collection. Puzzle 7 of 8. | zuzuzi.com

7x7 Futoshiki, Puzzle 8

7x7 futoshiki with three given digits and twenty-five signs, the last of the set and of the four futoshiki sizes. Puzzle 8 of 8.
7x7 futoshiki with three given digits and twenty-five signs, the last of the set and of the four futoshiki sizes. Puzzle 8 of 8. | zuzuzi.com

How to Solve a 7x7 Futoshiki

Work the edges of the scale first: in each row and column, list the cells that can still hold a 7 and a 1, which the signs forbid on the pointed side and the open side respectively; with seven digits, a cell at the top of a chain of two signs is already at least 3, and at the top of a chain of three signs at least 4. Write candidates in every cell, then alternate between the two rules: a placed digit leaves its row and column, and a sign trims the candidates on both sides. Look for the cell that is left with one candidate, or the row where a digit has one place left, and keep going; a 7x7 grid rarely needs more than this, only patience.

Frequently Asked Questions

How long does a 7x7 futoshiki take?

Between twenty and forty minutes for someone who solves 6x6 grids comfortably. The sign-only grid of this set is the longest.

Are 7x7 grids common?

Less than 5x5, which newspapers favour, but they are the size that competitions and puzzle books use for their hardest futoshiki.