1. By the time all the papers are ready, the deadline will have passed. - слово-подсказка By the time, т.е. действие завершится до какого-то момента в будущем - используем Future Perfect
2. The flight leaves at 1 pm and arrives at 3.45. - по расписанию - используем Present Simple
3. I will be seeing Nick tomorrow, so I can give him a message.
4. This taxi is so slow. By the time we get there the meeting will have finished. - см. №1
5. Sorry, I can't see you on the 15th-I will be playing golf with a client. - Future Continuous, т.к. действие будет происходить в определенный момент в будущем
6. I won't do anything until I hearfrom you. - придаточное времени (на это указывает союз untill) - используем Present Simple
7. Hurry up! By the time we arrive, the play will have started. - см. №1
8. What will you have learned by the end of your course? - см. №1
9. Will you be using the conference room next Tuesday? - см №5
10. When I see him, I'll ask him. - придаточное времени (на это указывает when) - используем Present Simple