I'd suggest two things.
One, do a wipe and re-install from backups. If the device doesn't really have much of importance on it, just wipe it and start fresh.
Two, discharge the iPad until it shuts off, then fully charge it and leave it plugged in for several hours after that. That will update the battery capacity gauge.
You can see the internal battery stats by plugging the iPad into a Mac and running any of a couple of different utilities - one free one is coconutbattery.