Here are the answers for the given exercises:

### Exercise 1: Reported Speech
20. "How many lessons are you going to learn next month?" he asked me.
→ He asked me how many lessons I was going to learn the following month.

### Exercise 2: Correct Verb Forms
1. Jack asked his sister where she **was going** the following day.
2. The mother told her son **to behave** so impolitely.
3. She asked why Mathew **looked** so embarrassed when he saw Carole.
4. The boy admitted **not having done** the homework.
5. Our grandparents used to suggest **wearing** sunglasses when we were out on bright sunny days.
6. Robert offered **to help** Carlo do the dishes.
7. The captain ordered his men **to abandon** the ship immediately.
8. Tom promised **to give** Janet the answer by the end of the week.
9. Jane criticized Frank for **disclosing** their confidential report to the press.
10. The team leader reminded us **to tidy up** the final draft before submission.
11. The kidnappers threatened **to kill** our boy if we did not pay the ransom.
12. Bill said that he had never **been** to Russia and he thought he **would go** there the next year.
13. John apologized to his Mum for **breaking** his promise.
14. Steve warned Mike **not to touch** the wires as it might be deadly.
15. The police asked Mr. John what he **had done** the night before.
16. The doctor strongly advised Jasmine **to take** a few days' rest.
17. Mary said if she **were** rich, she **would travel** around the world.
18. He said that English **was** very useful for my future job and I **must** master it.
19. He said they **were playing** games in the bedroom then.
20. She said that I had better **go** home early.

Feel free to ask if you need clarification on any of the exercises!