Тут идет выбор между разными вариантами будущего времени
Will - спонтанное действие, незапланированное, предсказание, предположение.
Going to - спланированное действие.
Present Continious в форме будущего времени - действие, которое скорее всего произойдет в будущем.
1) Will you help - спонтанный вопрос.
2) Will disappear, потому что глагол appear не используется в форме Continious.
3) She is taking part - действие, которое скорее всего произойдет.
4) we're playing - действие, которое должно произойти.
5) I'll have it - спонтанное решение.
6) won't be - предсказание, предположение.
Заполните пробелы одним из indefinite tenses:
1. I seldom him as he very busy now (see, is).
2. He __does__ not to take part in the coming competitions (want).
3. In six years she a fully qualified physician (will become).
4. They their plan only two year ago (carried out).
5. When __will__ you your job (finish)!
6. She ___ her work as an interpreter (likes)
7. She ___ the first road on the right and it ___ the shortest way to the village (take, was)
8. I ___ busy on Saturday and _will__ not ___ to go with him to the country (shall be, be able).
9. We ___ to a dance last night, but we _did__ not ___ ourselves must (went, enjoy).
10. Perhaps she ___ your brother on this photo (will recognize)