Well after a few months of complaining on here that my iPad one is practically unusable since iOS 5.1.1 I solved the problem. I had tried rebooting, closing background apps, and restoring with no luck. The solution was to put the iPad in DFU mode, completely wipe it, then setup as new iPad, and reinstall everything from scratch. The whole process took about 2 hours and I lost all of my app data but it was worth it; the iPad runs like it is [almost] brand new now. I think the problem must have had something to do with the app data - like the Apple equivalent of registry errors. Or maybe it had a virus??? I also have the multitasking gestures off. That by itself makes a noticeable difference. A short list of problems that wiping and setting up as a new iPad solved: Keyboard lag Lag when swiping between screens ~20 seconds to open apps like iBooks -reduced shutdown and boot time by 10 seconds!