Math Cage Grid Unblocked

Math Cage Grid is where sudoku-style placement meets quick mental arithmetic. Heavy borders carve the grid into groups called cages, each carrying a small label like 6+ or 24×. The digits you write inside must reach that number with that operation, while every row and column still uses each digit exactly once. The original name is Keen, from the puzzle collection by Simon Tatham, and each board has one answer you can reason your way to. Play it unblocked here on FreezeNova with a keyboard or the on-screen digit buttons.

Cages and Operations

On a board of size N, each row and column contains 1 to N once. A 6x6 grid therefore uses 1 through 6.

The cages layer arithmetic on top:

• Addition (+): the cage’s digits add up to the target.
• Multiplication (×): they multiply to the target.
• Subtraction (−) and division (÷): used only for pairs of squares. The difference or the quotient of the two digits equals the target, whichever digit is bigger.
• Single squares: the number shown is simply the digit.

Cages may contain a repeated digit, provided the repeats sit in different rows and different columns. Select a square and type to fill it; a right-click beforehand switches to pencil notes. The grid flashes when it is complete.

Presets go from a 4x4 starter up to 6x6 Unreasonable and a big 9x9 board. Custom sizes run from 3 to 9, with an option for multiplication-only cages.

Math Cage Grid controls

To do this	Keyboard	Mouse	Touch
Place a digit	Arrow keys to move, then type the digit	Click a square, then type a digit	Tap a square, then tap a digit button
Toggle a pencil note	Enter switches the cursor to pencil mode, then type a digit	Right-click a square, then type a digit	Set Tap to Pencil mark (or press and hold a square), then tap a digit
Wipe a square	Space, Backspace or 0	—	Tap the square, then Clear
Write every possible note in all empty squares	M	—	—
New puzzle, undo, redo	N, U, R	Menu buttons above the grid	Menu buttons above the grid

Number Facts That Unlock Cages

Strong solvers carry a few small facts in their heads. These are all for a 6x6 board, but the ideas scale.

Cage	Only options
3+ over two squares	1 and 2
11+ over two squares	5 and 6
5−	1 and 6
2÷	1 with 2, 2 with 4, or 3 with 6
3÷	1 with 3, or 2 with 6

Beyond the table:

• Look for 5s in products. Any product divisible by 5 needs a 5 inside the cage on boards up to 9x9, since no other digit supplies that factor.
• Use the row total. Each row on a 6x6 sums to 21. If whole cages cover a row except for one square, subtraction finds that square.
• Fill notes fast. Press M to put every candidate in every empty square, then strip out what each cage forbids.

Who It Suits

It is a natural fit for students sharpening times tables, puzzle fans who have outgrown plain sudoku, and anyone who wants arithmetic practice that feels like a game. The multiplication-only option is a nice factoring workout. For a different number twist, try Greater-Than Grid, or race the clock in Math Sprint.