Sure, here are the correct forms filled in:

1. There **is** a book and five pens on the table.
2. The dogs **are** not in the garden now.
3. The man **is** in the garden at the moment.
4. He and I **are** from a big city.
5. There **are** boys and a girl in the class.
6. She and he **are** at school every day.
7. Her children **are** at home on Sundays.
8. There **are** people at the party.
9. His brother **is** a teacher and his sister **is** a doctor.
10. My uncles **are** doctors. We **are** from Da Lat.
11. **Is** this your student?
12. The books **are** on the table.
13. I and my sister **are** from a very big city.
14. My children **are** in the classroom now.
15. There **are** some apples and an orange on the table.