Free Calcudoku Generator — Printable KenKen-Style Puzzles

What Is Calcudoku?

Calcudoku is a math-logic puzzle played on an N×N grid, divided into irregularly shaped “cages” outlined by thick borders. Each cage shows a target number and an operation (+, −, ×, ÷); the digits you place in that cage must combine — in some order — to reach the target. Like a Latin square, every row and column also uses each digit exactly once. Calcudoku is the generic name for this puzzle type; the same style is trademarked and sold commercially as KenKen®. Ours is a free, generic-form generator you can use without a license. You can also play a fresh daily Calcudoku at /play/calcudoku.

How Our Calcudoku Generator Guarantees a Unique Solution

Every puzzle starts from a randomly filled Latin square, which we then partition into connected cages of 1–4 cells and assign an operation and target for each. A constraint-propagation solver checks the finished puzzle to confirm exactly one digit arrangement satisfies every row, column, and cage constraint at once. If a candidate has more than one solution, it’s discarded and we try again with a new cage layout.

How to Solve a Calcudoku

1. Start with single-cell cages — these show the digit directly, no math required.
2. Work small cages first — 2-cell subtraction or division cages usually allow only a couple of digit pairs.
3. Apply Latin-square rules — every row and column must contain each digit exactly once, just like sudoku.
4. Cross off options as you go — combine cage math with row/column elimination until every cell is forced.

Who Uses This Generator

Math teachers use Calcudoku to build printable arithmetic-and-logic warm-ups that reinforce mental math beyond simple worksheets. Amazon KDP publishers use it to fill math-puzzle activity books in a niche adjacent to (but distinct from) sudoku. Adult logic-puzzle fans use it for a fresh, guaranteed-solvable KenKen-style puzzle any time they want one.

Frequently Asked Questions