Sure! Here are the rewritten sentences:

1. I'm sure it rained heavily last night.
→ **It must have rained heavily last night.**

2. You should really work harder.
→ **Were you to work harder, you would succeed.**
→ **It is important that you work harder.**

3. Each of us must finish this homework by Saturday.
→ **It is necessary for each of us to finish this homework by Saturday.**

4. John prefers eating at home to eating out.
→ **John would rather eat at home than eat out.**

5. It is certain that Mary didn’t clean the window.
→ **Mary definitely didn’t clean the window.**

6. John didn’t start the project until he had chosen an ideal partner.
→ **Not until he had chosen an ideal partner did John start the project.**
→ **It was only after he had chosen an ideal partner that John started the project.**

7. Please don't be so noisy. (MAKE)
→ **I would sooner you didn’t make so much noise.**

8. John erased the wrong answers very carefully. (CROSSED)
→ **It was with great care that John crossed out the wrong answers.**

9. Foolishly, John cheated at the final test.
→ **John acted foolishly by cheating at the final test.**