I first ran across counting mazes here at Printable Activities although they're mentioned other places, like this one. These are not really mazes, but more labyrinths of a sort; there are no wrong paths. Instead, you follow numbers through a grid, making a winding path. Here's an easy one as an example:

Maze-0-1-5x5-1.jpg

I couldn't get the ones at Printable Activities to print out right for me, and in any case, while they're cute, I was interested in making my own. So I made a Processing program to produce them. Luckily, Opal loves them. Sometimes. If you would like to try them out, here's a pile of them (here's a hint; the file name gives you the starting number, the increment, and then the size, so maze-37-23-2x4, which by the way does not exist, would be 2 numbers wide by 4 numbers high, starting at 37 and incrementing by 23):

  1. Counting mazes that increment by 1
  2. Counting mazes that increment by 2
  3. Counting mazes that increment by 3
  4. Counting mazes that increment by 4
  5. Counting mazes that increment by 5
  6. Counting mazes that increment by 6
  7. Counting mazes that increment by 7
  8. Counting mazes that increment by 8
  9. Counting mazes that increment by 9
  10. Counting mazes that increment by 10
  11. Counting mazes that increment by 15
  12. Counting mazes that increment by 17
  13. Counting mazes that increment by 20