Here are the correct forms of the verbs in brackets:

1. Summer (really/begin) in Rio de Janeiro until late November. **DOESN'T REALLY BEGIN**
2. What tends (happen) is that the poorest families end up in the worst housing. **TO HAPPEN**
3. They told me they (go) on a trip to Pattaya the previous summer. **WENT**
4. The Statue of Liberty (originally/design) for the Suez Canal in Egypt. **IS ORIGINALLY DESIGNED**
5. Many scientists (still/search) for life in other parts of the universe. **ARE STILL SEARCHING**
6. He (visit) Paris three times this year. **HAS VISITED**
7. The kids (play) in the garden when it suddenly began to rain. **WERE PLAYING**
8. As soon as Daddy and Jonathan (get) dressed, we'll go to the amusement park. **GETTING** (should be **GET**)