You enter a grid holding a number, every step changes it or tests it, so the maze is really a puzzle of which path keeps your number working.
Start at the entrance carrying a number and step onto neighbouring cells to reach the exit. Operation gates (+, −, ×, ÷) change your carried number when you enter, division only works when it divides evenly, otherwise the gate is locked. Condition gates (like 'greater than 10', 'even', or 'multiple of 3') only open if your current number satisfies them. Reach the exit holding a number that meets its required condition, in as few moves as you can.
Unknown Maze blends pathfinding with mental arithmetic, so every route you choose is also a small chain of calculations and number properties.
Carrying a number through gates that add, subtract, multiply and divide, where division only opens when it divides evenly, turns the maze into a question about divisors.
Condition gates — greater than ten, even, a multiple of something — check the value rather than change it.
Making division conditional is the design's best idea. In a calculator every division works; requiring an exact quotient means the route you can take depends on the number you are carrying, so the maze is different for each starting value even though the walls never move.
Unknown Maze is an original, free browser puzzle that blends pathfinding with mental arithmetic and number properties, so each route is a small chain of calculations. Play instantly, no download.