Not weird at all. It's often used to make clear the meaning, not only after か. The meaning of a sentence can be different whether it's a question or not. For instance, 一緒に行きません is a refusal, whereas 一緒に行きません? is an invitation. In a conversation, we can recognize the meaning from the intonaton at the end of the sentence (or from the context, of course), but written texts can't differentiate them. That's why the question mark is convenient.