Here are the corrected sentences for the exercise:

1. What does your mother do at weekends? (correct "does" to "do")
2. When I am free, I often listen to my favourite songs from an old cassette recorder. (correct "listens" to "listen")
3. My best friend does not go to class to learn how to sing. (correct "goes" to "go")
4. She loves music, and she likes writing songs. (correct "writting" to "writing")
5. My sister finds arranging flowers interesting. (correct "arrange" to "arranging")
6. What is your favourite hobby, Anna? (correct "does" to "is")
7. My brother has an unusual hobby, carving eggshells. (correct "have" to "has")
8. Jim finds bird-watching interesting because he can learn about nature. (correct "interest" to "interesting")
9. Amy likes making pottery very much. (correct "makes" to "making")
10. My brother wants to go to the amusement park. (correct "goes" to "go")