Sure! Here are the sentences transformed into the correct conditional forms:

First Conditional (Real present/future situation):

If we hurry, we will catch the bus.

Second Conditional (Unreal present/future situation):

If I won the lottery, I would be very happy.

Third Conditional (Unreal past situation):

If she had done all the housework, her mother would have let her stay up late.

Let me know if you need further assistance!