Short of cleaning up your iPad of excess data stored on it, there is one method the Genius Bar recommended that works very well.
The Location Services setting on the Settings App if turned on, will run in the background without any notification in the active Apps taskbar. If you disable Location Services it can free up a lot of space for most applications to run without issue. So unless you need Location Services on for specific mapping needs, turning it off can solve most quitting issues.
Any other solutions people are welcome to comment or edit this tip.