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Here are the answers with explanations of the verb tense used:

1. I saw a cat in the park yesterday. (Simple Past - used for completed actions in the past)

2. Lina drank orange juice at the party. (Simple Past - used for completed actions in the past)

3. They ate turkey last Thanksgiving. (Simple Past - used for completed actions in the past)

4. I didn't play chess at the weekend. (Simple Past Negative - used for completed actions in the past that did not happen)

5. Did she ride her bike yesterday? (Simple Past Interrogative - used to ask about completed actions in the past)

6. Children didn't go to school last Tuesday. (Simple Past Negative - used for completed actions in the past that did not happen)

7. Did boys help their parents at the weekends? (Simple Past Interrogative - used to ask about completed actions in the past. Note that "boys" is plural, so the verb "help" is not changed in the question.)