Keyboard stuck at bottom of iPad, regardless of orientation

When I am in the home screen, in landscape mode, and swipe down to bring up spotlight search the keyboard shows up as if I was in portrait mode. See the screenshot below:

It's not a problem with the orientation lock, because the screen does rotate. The keyboard always shows up on at the bottom of the iPad, regardless of what orientation I hold the iPad. If I hold the iPad upside down, the keyboard will drop down from the top. (Not only making it very hard to use, but completely obscuring the search dialog box.)

This does not happen in any apps. In apps the keyboard always appears where it should.

Any ideas on how to fix this? I am currently on iOS 8.1, but this was happening on iOS 8.0 as well. I'm not sure if it had that problem before then.

Looks like one of the many keyboard issues in iOS 8.

Might need to wait for Apple to fix it.

See https://discussions.apple.com/thread/6581211 & many others