Ответ:

smaller

the worst

faster

the most quickly

the best

more boring

1. My bedroom is smaller than my sister's room.

2. We stayed at the worst hotel in the city. (Там ошибка в самом задании я его исправила, там stated вместо stayed)

3. I run faster than my brother.

4. We all eat fast in my family, but my brother eats quicker.

5. Scott is the best player on the team.

6. I think doing housework is more boring than doing homework.

Удачи :)