Math Cage Grid
Math Cage Grid blends a no-repeat number grid with quick arithmetic. Bold outlines split the board into groups called cages, and each cage has a small target such as 10+ or 6×. Your digits must reach every target while each row and column stays free of repeats.
Each board has one answer that you can reach by logic alone. It runs in a plain browser tab with no download, and touch screens get their own digit buttons.
How to play Math Cage Grid
On a 5x5 board, every row and every column contains the digits 1 to 5 once each. The cages add the arithmetic.
An addition cage must total its target. A multiplication cage must multiply to it. Subtraction and division only show up on two-square cages, where the larger digit minus or divided by the smaller gives the target. A single-square cage just tells you its digit outright.
Pick a square and type a number, or right-click it first to jot small candidate notes in the corner. The grid flashes when every cage and line works. Presets run from an easy 4x4 up to 6x6 Unreasonable and a 9x9 board, and Custom also has a multiplication-only option.
Controls
| Action | Keyboard | Mouse | Touch |
|---|---|---|---|
| Write a digit | Arrow keys, then type it | Click a square, then type | Tap a square, then a digit button |
| Toggle a pencil mark | Enter for pencil mode, then type | Right-click a square, then type | Set Tap to pencil mark, or hold a square, then tap a digit |
| Erase a square | Space, Backspace or 0 | — | Tap the square, then Clear |
| Put every pencil mark in empty squares | M | — | — |
| New game, undo, redo | N, U, R | Menu bar buttons | Menu bar buttons |
Tips
- Write in single-square cages first. They are given digits in disguise.
- Narrow cages with extreme targets have few options. On a 6x6 board, a two-square 11+ can only be 5 and 6, and a 5- must be 1 and 6.
- Break large products into factors. A product that is a multiple of 5 must include a 5 somewhere in the cage.
- Each full row adds to the same total, such as 15 on a 5x5 board. If whole cages cover a row except one square, subtraction gives you that square.
- Press M to fill pencil marks everywhere, then trim them cage by cage.
If you like Math Cage Grid, try these
Greater-Than GridNo repeated digits in any line remains the rule, with small signs between neighbors standing in for cage targets.
Factors GameArithmetic as a puzzle continues as you drop through rows of tiles, dividing by factors until you reach exactly 1.
Questions
What do the symbols in Math Cage Grid mean?
The plus, times, minus and divide signs show how the digits in a cage combine to make its target. Minus and divide only appear on two-square cages, and order does not matter there.
Is Math Cage Grid good math practice?
It is a steady workout in mental addition, multiplication and factoring. You also practice logical elimination, because each digit has to fit its row, column and cage at once.
Can digits repeat inside a cage?
Yes, provided the two copies sit in different rows and different columns. A bent, L-shaped cage could hold a 3 at each tip, for example.
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