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KenKen — 5×5

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Play Hard KenKen — ThePuzzleLabs

Try this Hard KenKen puzzle on ThePuzzleLabs.

EasyMediumHardExpertEinstein ⚡
00:00
6+
5+
4
12×
6+
4-
4+
7+
8+
5+
5+
6+
6+

Research Clues

How to Play

Fill the grid so every row and column contains each digit exactly once (Latin square). Cages must satisfy their arithmetic target.

👆

Click a cell to select it, then use the number pad or keyboard to place a digit.

🔲

Each bold-bordered cage shows a target number and operation (+, −, ×, ÷). The digits in that cage must produce the target using that operation.

🚫

No digit can repeat in the same row or column. Conflicts are highlighted in red.

💡

Single-cell cages are freebies — the target is the answer. Start with those and work outward.

🏆

Fill every cell correctly to complete the puzzle. Use clues if you're stuck.

Keyboard shortcuts
Place digit1–5
EraseDelete
NavigateArrow keys

Reveal the Solution?

This will fill in the complete grid. The puzzle will be marked as "solved with reveal."

About hard KenKen

Five-by-five grids with all four arithmetic operations. Division cages add a new constraint layer — a "2÷" cage can only hold factor pairs like (4,2) or (2,1). Multiplication cages can have surprisingly few valid combinations once you account for the digit range.

The key insight at this level: single-cell cages are free information. Fill those first, then propagate through their row and column. After that, focus on cages with the fewest possible combinations. You'll uncover forced digits that cascade through the rest of the grid.