➗ Math Grid
🧩 Logic · 0 playsMath Grid
Fill the grid so every cage reaches its target and no line repeats a number.
About Math Grid
A Latin square with arithmetic constraints laid over it, in the manner of KenKen. Each row and column must contain every number once, and each outlined cage must be made to produce the total printed in its corner, using the operation given there. The interest lies in how the two rules interact: a cage will often accept several combinations of numbers, and only the row and column restrictions reveal which combination belongs, and in which order. Grids range from a friendly four-by-four to a demanding six-by-six, and each has one solution reachable without guessing.
How to Play
Enter numbers so that each row and column holds one to N with no repetition. Each outlined cage must be made to produce the total printed in it, by the operation given there. A cage of one cell simply holds that number.
💡 Tips & Strategy
Treat each cage as a small algebra problem, and start with the ones that barely have any freedom. A single-cell cage is simply its value. A two-cell cage with a subtraction or division clue has few possibilities in a small grid, and a multiplication cage whose value is prime or a large product usually admits only one factor pair.
Addition and multiplication cages hide their order, which is an advantage: you only need the set of digits, not their arrangement. Work out the legal sets first, then let the Latin square rules — each digit once per row and column — decide which cell takes which value.
The row and column totals are a quiet second clue. In a grid of size N every line sums to the same fixed amount, so when cages sit wholly inside one line, whatever they do not account for belongs to the cells left over. This is the same rule of 45 that killer sudoku uses, scaled to the grid you are on.
When stuck, look for a digit that can only live in one cell of a line. It is easy to overlook while you are focused on arithmetic, but the Latin square constraint keeps producing these hidden singles throughout the solve.