Futoshiki Puzzle

Printable Futoshiki Puzzles with Inequality Clues

Futoshiki is a compact Japanese logic puzzle that swaps Sudoku’s boxes for inequality signs. You fill a 5x5 grid so every row and column contains each digit from 1 to 5 exactly once, and every < or > sign printed between adjacent cells must be respected.

This generator produces print-ready Futoshiki puzzles in A4 or US Letter PDF format. Up to six puzzles fit on a page in a tidy two-column layout, with optional solutions on a separate sheet. The relatively small 5x5 grid makes Futoshiki a friendly brain-training activity that adults and children can tackle together.

Futoshiki puzzles work well as quiet-time activities, travel puzzles, classroom logic warm-ups and gentle after-dinner brain training. The inequality signs give beginners a lot of information to work with while still leaving plenty of room for satisfying deductive reasoning.

How the inequality rule works

Place digits 1 to 5 in the grid so that every row and column is a Latin square (each digit appears exactly once). Between some adjacent pairs of cells you will see an inequality sign.

• A < sign between two cells means the left (or upper) cell is less than the right (or lower) cell.
• A > sign between two cells means the left (or upper) cell is greater than the right (or lower) cell.
• Every sign must be respected by the digits you place.
• Some cells may have starting digits given; others rely entirely on the inequalities.

Futoshiki means “inequality” in Japanese, and the name captures the whole puzzle.

Who Futoshiki is for

Beginners

The 5x5 grid is small enough that beginners can learn the rules and finish a puzzle in the same sitting. Inequality signs give strong, visual clues.

Puzzle enthusiasts

Seasoned solvers appreciate Futoshiki for the way chains of inequalities interact. A chain of three < signs, for instance, forces a specific ordering that often pins down multiple cells.

Classroom teachers

Futoshiki is a great way to sneak number comparison and ordering practice into a logic task. Up to six puzzles on a page suits a short activity for a group.

Parents

Print a sheet for a flight, a waiting room or a quiet afternoon. The puzzles are screen-free, calming and quick enough to satisfy even younger solvers.

What you can customise

• Puzzle count: choose between roughly two and six puzzles per sheet.
• Include solutions: add a separate answer page.
• Seed: reproduce the same set by entering a fixed seed.
• Paper size: A4 or US Letter PDF output.

Worked example

Suppose you see three cells in a row written a < b < c. The three cells must take three distinct digits from 1 to 5 with a < b < c strictly. If another clue in the same row has already placed a 2, that leaves only 1, 3, 4 or 5 for a, b, c. Because a < b < c, the only valid choices are (1, 3, 4), (1, 3, 5), (1, 4, 5) or (3, 4, 5).

Add one more clue, such as a starting 4 in the c cell, and the options collapse to (1, 3, 4). Futoshiki rewards this kind of constraint-combining quickly.

How to use the tool

1. Choose how many puzzles to print on the sheet.
2. Decide whether to include the solution page.
3. Optionally set a seed for a repeatable set.
4. Select A4 or US Letter paper.
5. Click Generate and preview the puzzles.
6. Download the PDF and print at 100% scale.

Methodology

The generator builds a complete 5x5 Latin square and then overlays inequality signs derived from the solved grid. A subset of starting digits is kept and a curated set of signs is printed between cells so the puzzle can be deduced logically. Each new generation creates a fresh puzzle, and the seed field lets you reproduce the same set when needed.

Tips for solving

• Look for extreme cells. A cell with < signs on both sides pointing inwards must be the smallest in its row or column.
• Chain inequalities. A sequence like a < b < c forces three distinct increasing digits and narrows the options dramatically.
• Use Latin-square logic. Every row and column still needs each digit from 1 to 5 exactly once.
• Pencil candidates, especially when two signs compete for a single cell.

Designed for A4 and US Letter printing

Futoshiki puzzles print cleanly on both A4 and US Letter. Up to six puzzles per page keeps cells large enough to write in without crowding the inequality signs.

Why Futoshiki is a wonderful brain training exercise

Futoshiki trains a subtle skill: combining local clues (an inequality between two cells) with global structure (the Latin-square rule). Few other puzzles demand that exact combination, which is why Futoshiki feels distinctive even after many classical Sudoku sessions.

It is also a great way to practise the idea that information flows. A chain of inequalities radiates deductive reasoning outward from any starting digit, and watching that information spread is genuinely enjoyable. That experience of “one move unlocks three more” is a hallmark of satisfying logic puzzles and Futoshiki delivers it in a very compact form.

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