The above steps are no longer working for me. I've deliberately quit every app (including FaceTime and Contacts), the restarted the iPad a couple of times now - and yet the Contacts app won't open. It flashes briefly, then I go back to the home screen. If I double press the main button, I can view the Contacts app as one of the "cards", but if I select it, it'll display for maybe half a second before crashing.
I've had the Contacts app crashing like this before, but a restart of the iPad has always solved it. Not this time. Any ideas?
(The Contacts app on my iPhone, and on my iMac, are working fine.)
EDIT: OK, I tried something else that seems to have worked: I went to Settings / Main, Contacts, Calendars / Contacts, and then turned off contacts sync (and said, yes, delete everything), and then turned it back on. Then I restarted the iPad. When I opened the Contacts app after that it was empty, but it repopulated with everything from iCloud after five or six minutes. And now it seems to be working properly. I'm not sure if the restart was necessary, but that's what worked, anyway. Of course, make sure everything is synced before doing this!