The major Bluetooth keyboard issues with VoiceOver were fixed in iOS 8.1, so if you don't have 8.1 yet, be sure to perform the update.
If you are still having issues with iOS 8.1, then I'm not sure what the problem could be. My Apple Wireless Keyboard works great with my iPad under iOS 8.1.
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Upgrade to iOS 8.1
The major Bluetooth keyboard issues with VoiceOver were fixed in iOS 8.1, so if you don't have 8.1 yet, be sure to perform the update.
If you are still having issues with iOS 8.1, then I'm not sure what the problem could be. My Apple Wireless Keyboard works great with my iPad under iOS 8.1.
I am on 8.1. The Logitech
I am on 8.1. The Logitech keyboards work fine until you switch voice over on. Then though it still sees the keyboard it just won't type.