My younger son's school asked for a copy of his passport/visa, but the older one's simply looked at his passport but didn't take a copy of it. We brought their school records as well (along with their immunisation records!).
Be prepared, though, that the school in your catchement area might be oversubscribed and your child may end up going somewhere else. This happened with our younger one. And we were so close to the catchement school I could hear the kids outside during playtime from my back garden! But the school he ended up in was still walking distance, so no big deal, really.