Thank you for your help. I need your help in using 'will' or 'shall' in interrogative sentences.

1. Shall I open the doll?
2. Do you want me to open the door?
3. Do you want to let me open the door?
(Does #1 mean #2 or #3?)

4. Will you go there?
5. Do you want to go there?
6. Do you intend to go there?
7. Are you willing to go there?
(Does #4 mean #5, 6, or 7?)

8. Shall he go at once?
9. Do you want him to go at once?
10. Do you want me to make him go at once?
11. Do you want me to let him go at once?
(Does #8 mean #9,10, or 11?)

1 is closest to 2.

4 is closest to 6.

8 is closest to 9.