The mahjong game I have is the kind with all tiles face up on the surface...I think that might be the kind you want. It's freeware, but in order to get all functions, such as retaining your high scores, changing tiles, you have to register.
http://www.yanceyware.com/Games.htm
And download the try version. It shouldn't have an expiration date either. If it asks for it, select the arm processor version, otherwise it will download and work. If you have troubles with this, pm me for the executable file of the trial version.