Number Puzzles
KenKen grids where every row and column uses each digit exactly once, and each cage of cells must hit a target number using addition, subtraction, multiplication, or division. Arithmetic meets logic.
Difficulty levels
3×3 grids. Addition cages only. Gentle intro to the rules.
4×4 grids. Addition and subtraction. Real problem-solving starts.
5×5 grids. All four operations. Multiple steps per cage.
6×6 grids. Complex cages. Requires elimination chains.
7×7 grids. Minimal hints. Logic and arithmetic at their limits.
How it works
Like Sudoku's mathy cousin. You fill a grid so no digit repeats in any row or column (a Latin square). The twist: cells are grouped into cages, and each cage has a target number and an operation. A "12×" cage with two cells means those cells multiply to 12.
Click or tap a cell, then pick a digit. Conflicts (duplicate in row or column) turn red. The puzzle is solved when every cell is filled, every row and column has unique digits, and every cage hits its target.
Play modes
Classic
Timer runs. Up to 3 hints. Standard play.
Timed Trial
Beat the clock. Bigger grids get more time.
Zen
No timer. Unlimited hints. Just logic.
How to solve KenKen puzzles
Practical techniques for each grid size.
KenKen combines two constraints: cage arithmetic (the numbers in a cage must produce the target) and the Latin square rule (no repeats in any row or column). Most of the work is figuring out which constraint to lean on at each step.
Start with the freebies
Single-cell cages are given values — fill them in immediately. Then look at cages where only one combination of digits is possible. In a 4×4 grid, a "7+" cage with two cells can only be 3+4 (since digits go up to 4). That's a solved cage before you even consider the rest of the grid.
List the possibilities
For each cage, write down every pair (or triple) of digits that could work. A "2÷" cage in a 6×6 grid could be 1-2, 2-4, or 3-6. Now cross-reference with the row and column: if row 1 already has a 4, then the 2-4 option is eliminated for any cell of this cage that sits in row 1.
Use the Latin square constraint
In a 5×5 grid, each row sums to 1+2+3+4+5 = 15. If you know the values of three cells in a row, the remaining two must sum to 15 minus those values. Combined with cage constraints, this often pins down the exact digits. This is especially powerful for rows or columns that are almost complete.
Subtraction and division cages
For two-cell cages with − or ÷, order doesn't matter (you always take the larger minus the smaller, or larger divided by smaller). A "2−" cage with cells in the same column means those cells differ by 2. If the column already has a 1 and a 4, the remaining cells can't use those, which limits options fast.
Grid size progression
3×3 (easy) is a gentle introduction — only digits 1-3, and most cages are addition with single-cell givens. 4×4 (medium) adds subtraction and requires real deduction. 5×5 (hard) uses all four operations and multi-cell cages. 6×6 (expert) and 7×7 (einstein) require you to chain multiple constraints together, sometimes across three or four cages at once.
If 3×3 feels obvious, skip to 4×4 medium. If you want the real challenge, go straight to expert.