Kakuro
Play Kakuro cross-sum puzzles at three sizes and levels with a combination helper, explained hints, a daily puzzle and print.
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4 11×11 Medium puzzles at random, each labelled with its number.
Kakuro, also called Cross Sums, is a crossword of numbers: each run of white cells across or down adds up to the clue at its start, with the digits 1 to 9 and none twice in a run. Play it here at three sizes and three levels, with notes, a combination helper for both runs through a cell, hints that explain each step, a daily puzzle and printable sheets.
The game runs in your browser. Your games, times and stats stay on this device, and a game in progress carries on after a reload.
How to use it
- Play — a puzzle at the chosen size and level: 8×8, 11×11, 14×14, the clue row and column included.
- Daily — one puzzle per date, numbered from 21 October 2026, larger and harder through the week: Monday 8×8 Easy, Tuesday 8×8 Medium, Wednesday 11×11 Easy, Thursday 11×11 Medium, Friday 11×11 Hard, Saturday 14×14 Hard, Sunday 11×11 Medium. A daily you are playing at midnight stays on the page until you finish it. Opened on a later day, the page shows that day's puzzle instead, and an earlier one you had started counts as played, not won.
A clue above the diagonal of a block is the sum of the run to its right; one below it, the run underneath. Select a white cell, then a digit; the arrow keys jump from white cell to white cell, Backspace clears, N switches notes and Shift with a digit adds a note. Cells stay at least 32 pixels wide, so on a phone the larger grids scroll sideways inside their frame.
The combination helper shows both runs through the selected cell: every set of different digits that makes each sum, struck through once the grid rules it out, and the digits every open set holds. Auto fills each empty cell with what both its runs allow. Hint first points out a wrong digit, then finds the simplest next step and explains it; the second press applies it.
A game finished after a hint, a revealed cell or with mistakes shown counts as played, not won, and ends your streak. Stats are kept per size and level, and puzzles print 1, 2, 4 or 6 to a page with their solutions after.
How to solve Kakuro
Unique sums. Some clues allow one set of digits only: 3 in two cells is 1 + 2, and 23 in three is 6 + 8 + 9. Start there. Intersections. A cell belongs to an across run and a down run, so it can only hold a digit both runs can use: where a 3 in two cells (1 + 2) crosses a 4 in two (1 + 3), the shared cell can only be 1.
Run combinations. Where a run has several sets, keep only those its cells' candidates can still hold. Block sums. The across runs of a block of rows add to their clues; take away the down runs wholly inside the block, and the cells left over make up the rest.
The puzzles come from a fixed bank of 300 per size and level, each with 180° symmetric blocks and runs of 2 to 9 cells. The digits are filled at random and then changed one cell at a time until the puzzle can be solved by logic at its level and needs that level; a puzzle solved by logic alone has only one solution.
Worked hints
Run digits (intersections), 8×8 Easy #1, from an empty grid with every earlier step on the solving path taken:
- Hint
- Run digits: the sets that make the 7 across at r1c4 only use 1, 2, 3, 4, 5 or 6: r1c4 and r1c5 can't be 7, 8 or 9.
Run combinations, 8×8 Medium #1, from an empty grid with every earlier step on the solving path taken:
- Hint
- Run combinations: with what its cells can still be, the 5 across at r3c1 can only be 1 + 4 or 2 + 3: r3c2 can't be 1.
Block sums, 8×8 Hard #1, from an empty grid with every earlier step on the solving path taken:
- Hint
- Block sums: the 2 down runs in columns 1–2 from r1c2 add to 14, and the across runs wholly inside them add to 6, so r1c2, r2c1 and r2c2, the cells left, add to 8: r1c2 can't be 2 and r2c1 can't be 3.
Quick reference
| Cells | Sum = the only set |
|---|---|
| 2 | 3 = 1 + 2; 4 = 1 + 3; 16 = 7 + 9; 17 = 8 + 9 |
| 3 | 6 = 1 + 2 + 3; 7 = 1 + 2 + 4; 23 = 6 + 8 + 9; 24 = 7 + 8 + 9 |
| 4 | 10 = 1 + 2 + 3 + 4; 11 = 1 + 2 + 3 + 5; 29 = 5 + 7 + 8 + 9; 30 = 6 + 7 + 8 + 9 |
| 5 | 15 = 1 + 2 + 3 + 4 + 5; 16 = 1 + 2 + 3 + 4 + 6; 34 = 4 + 6 + 7 + 8 + 9; 35 = 5 + 6 + 7 + 8 + 9 |
| 6 | 21 = 1 + 2 + 3 + 4 + 5 + 6; 22 = 1 + 2 + 3 + 4 + 5 + 7; 38 = 3 + 5 + 6 + 7 + 8 + 9; 39 = 4 + 5 + 6 + 7 + 8 + 9 |
| 7 | 28 = 1 + 2 + 3 + 4 + 5 + 6 + 7; 29 = 1 + 2 + 3 + 4 + 5 + 6 + 8; 41 = 2 + 4 + 5 + 6 + 7 + 8 + 9; 42 = 3 + 4 + 5 + 6 + 7 + 8 + 9 |
| 8 | 36 = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8; 37 = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 9; 38 = 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9; 39 = 1 + 2 + 3 + 4 + 5 + 7 + 8 + 9; 40 = 1 + 2 + 3 + 4 + 6 + 7 + 8 + 9; 41 = 1 + 2 + 3 + 5 + 6 + 7 + 8 + 9; 42 = 1 + 2 + 4 + 5 + 6 + 7 + 8 + 9; 43 = 1 + 3 + 4 + 5 + 6 + 7 + 8 + 9; 44 = 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 |
| 9 | 45 = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 |
| Level | Techniques it adds |
|---|---|
| Easy | Run total, Naked single, Unique combination, Run digits (intersections) |
| Medium | Run combinations, Hidden single in a run |
| Hard | Naked pair, Hidden pair, Naked triple, Block sums |
Frequently asked questions
See also
- Killer Sudoku — for sum cages on a full Sudoku grid.
- Calcudoku — for cages with +, −, × and ÷.