Think Clear This is a math trick posing as a 7-Up commercial (or vice versa, but it's subtle) and it's a good one! An interactive flash cartoon. When they tell you to enter something, you don't need a cursor. It works without one.
Woodlands Junior School in Kent
(extensive game page)
I made this page long ago, before iPads. If you have an iPad or something else with a touch screen and can go to the applications store and look for any of these, they will have logic to keep you and all your relatives happy for a long time: Plants vs. Zombies (will play on other systems, too), Flip Pix Art or Flip Pix Puzzles (add to your search "Gabysoft"), Flow. Some of those games are free, or you can pay for an upgrade, but nothing there is expensive.
Flip Pix can be played on a 5x5 grid, 10x10 or 15x15. Some of the newer games go to 20x20, and some have been retrofitted. On retrofit games you might need to guess sometimes, but in the designed games, it should never require a wild guess. :-)
Flip Pix by GabySoft
Flow Free by Big Duck Games LLC
Here's a site where you can play Flow Free with a regular computer: http://moh97.us/flow/
If you get a free version you might get ads (depending where you get it, maybe), but they're just $1.99 or so.