1. You must drive slower
2. We managed to get a good grade in English
3. Must
4. Deduction
4.1. Must
4.1.1. He got promoted, he must be happy
4.2. Can't
4.2.1. He got promoted, he can't be sad
4.3. Could
4.3.1. He got promoted, he could still be at work
4.4. May \ Might
4.4.1. He got promoted, he may not be poor anymore
5. Obligation
5.1. Need
5.1.1. You need to change your tires
5.2. Have to
5.2.1. You have to drive in your lane
6. Prohibition
6.1. Mustn't
6.1.1. You mustn't open it before midnight
6.2. Don't have to
6.2.1. You don't have to do it all by yourself
7. Permission
7.1. Can
7.1.1. Can I open the window?
7.2. Could
7.2.1. Could we visit the park?
7.3. May \ Might
7.3.1. We may open the door
8. Ability, Possibility
8.1. Can
8.1.1. I can play football
8.2. Could
8.2.1. I could play the piano
8.3. Be able to
8.3.1. I'll be able to speak English
8.4. Managed to
8.5. Succeeded in
8.5.1. They succeeded in getting the job
9. Requests
9.1. Can
9.1.1. Can you give that pen?
9.2. Could
9.2.1. Could you listen to them?
9.3. Will
9.3.1. Will you come with us?
9.4. Would
9.4.1. Would it be that bad to do as they say?
10. Advices
10.1. Should
10.1.1. You should visit a doctor
10.2. Had better
10.2.1. You'd better listen to us
10.3. Ought to
10.3.1. You ought to try these pastries