He did really good/well in his exams. She gets up early/rarely in the morning to go jogging. He is a very carefully/best then any of other players today. She walked slow/slowly to…

Here are the correct forms for the sentences you provided:

1. He did really well in his exams.
2. She gets up early in the morning to go jogging.
3. He is a very good player, better than any of the other players today.
4. She walked slowly to school because she was early.
5. Everybody helped organize the trip, but Callum worked the hardest of all.

If you have any more questions or need further assistance, feel free to ask!