The correct answers are:
1. Hand me THOSE papers - demonstrative.
2. They call THEMSELVES The Ambassadors. - reflexive.
3. Has ANYONE seen Tim? - indefinite.
4. WHAT did you say? - interrogative.
5. The cat THAT followed me home is a black angora. - relative.
6. WE won the game. - nominative.
7. The first team beat US. objective.
8.Tom, WHOSE turn it is, will speak. - possessive.