Welcome to the forum!
Try doing a restart or a reset of the iPad. To do:
Restart: Hold down the power button until the power off slider appears. Slide it off. When the iPad finishes shutting down, hold down the power button again until the Apple logo appears.
Reset: Hold both the power and home buttons until the screen goes dark and the Apple logo then appears (the slide to unlock screen may or may not appear). Once the logo appears, release the buttons. After a time, your homescreen will appear. Please note that it may take some time for the Apple logo to appear or for your homescreen to appear (or both). This is normal. Eventually, the homescreen will appear.
If a restart or a reset of the iPad doesn't solve this, I think you may have a hardware problem with your iPad. Which means, time to let the Geniuses at Apple have a look at it. Sorry.
Marilyn