It's missing the battery cap but I've applied my razor-sharp technical skills to the problem and improvised a temporary replacement out of a paper-clip and the end of a felt-tip marker, and it works well with the iPad. There seem to be several people selling replacement caps on eBay but since they're all in Hong Kong I think I'll try the Apple Store first - I suspect that I shall then laugh at their prices and order one from Hong Kong, but it never hurts to ask.
Not sure I really need two bluetooth keyboards when I only have one iPad and everything else uses wired keyboards, but it's somewhat easier to type on than the Logitech board, should be handy when I use it at home.