There are different types of homework for students:
- they are asked to solve problems in theory
- Write composition
- make handicrafts
What certain vocabulary can be used for each one of these tasks?
These are by no means the only terms for the examples you listed, but in my studies I have heard them called as such:
1. solving problems in theory: "problem sets" (mostly in physics or math) 2. write compositions: "paper" (as in, "I have to write a paper.") 3. make handicrafts: "project," or perhaps "arts and crafts project"