1. I didn't do my homework yesterday.
Did you do your homework yesterday?
What didn't you do yesterday?
Did you do your homework or your test yesterday?
I didn't do my homework yesterday, didn't I? или You didn't do your homework yesterday, didn't you?
2. The teacher has already read his lecture.
Has the teacher read his lecture yet?
What has the teacher read yet?
Has the teacher read his lecture or his book yet?
The teacher has already read his lecture, hasn't he?