SevenNumbers

Daily Calcudoku-style Puzzle: 5×5 Math Cages

Cages is a daily maths logic puzzle in the calcudoku style: fill a 5×5 grid so every row and column holds 1 to 5 once, and every outlined cage makes its target. Each puzzle has exactly one solution.

How to play Cages

1. Fill every square with a number from 1 to 5, so that each row and each column holds every number once.
2. The grid is split into outlined cages, each with a target and an operation. 8+ means the cage adds to 8, and 6× means it multiplies to 6.
3. 2− and 2÷ cages have two squares: take the larger number first, so 5 and 3 make 2−, and 4 and 2 make 2÷. A single-square cage just gives you its number.
4. Tap a square, then a number. Turn on Notes to pencil in candidates.
5. Fastest solve wins. Reveal shows the answer, but a revealed puzzle isn’t ranked.

Tips

• Fill in the single-square cages first: they are free numbers, and they rule that number out of their row and column.
• Some targets allow only one pair: 4÷ can only be 1 and 4, 4− only 1 and 5, and 9+ in two squares only 4 and 5.
• Multiplication cages are powerful: 15× must contain a 3 and a 5, and anything with a factor of 5 must include a 5.
• Each row and column adds up to 15. If all but one square of a row is covered by cages, the last square is 15 minus their totals.
• Use Notes for pairs you know go somewhere in a cage. Two cells sharing the same two candidates rule them out of the rest of that line.

Questions