1.The teacher says (that) he's going to start work at once.
2.I know that he's a Canadian athlete.
3.I'm afraid that my family will leave for BJ.
4.I believe that he cannot finish his homework before 9:00.
5.I imagine that a lot of people will come to the Food Festival.
不知道有没有语境的要求.如果需要的话可以把第一句的动词改为过去时.