1. We hoped that we (find) him (cut) the grass in front of his house.=> would find / cutting 
2. You (notice) anyone (take) any money from this box?=> Did yoy notice / taking 
3. It’s important that everybody (be told) all the facts=> be told
4. Sorry (wake) you up yesterday=> (for) having waken
5. Did you see the boy (question) by the police=> being questioned
6. I will ring the bell once more, If she doesn’t answer, I think she must (go) out=> have gone
7. That man (stand) at the bus stop for the last half hour. Shall I tell him that the last bus already (go). has stood/ had already gone