1. This house was built over 100 years ago. (Past Simple: "was built" indicates a completed action in the past.)

2. They have not finished their homework yet. (Present Perfect: "have not finished" suggests an action that started in the past and continues into the present.)

3. Do you mind buying me a newspaper on the way home? (Gerund: "buying" is used as a gerund after "mind.")

4. The city that was destroyed during the war has now been rebuilt. (Past Perfect Passive: "was destroyed" and "has been rebuilt" indicate two past actions with the first happening before the second.)

5. Yesterday when I came to see Peter, he was doing his homework. (Past Continuous: "was doing" indicates an ongoing action in the past at a specific moment.)