The prepositions in, on, and at are also used in a number of set expressions:
in a book/magazine/newspaper on a bus/train/etc. at best/worst
in charge (o0 on fire at first/last
in common (with) on the other hand at once
in danger (of) on purpose at the peak (of)
in detail on radio/television at present
in existence on the whole at the moment
in the front/middle/back at birth
in general at death
in practice at random
in the past/future
in a row
in style
in theory
Other Prepositions
By is often used with forms of communication and transportation: by car, by plane, by phone, by express mail (Note: if the noun is plural or is preceded by a determiner, the prepositions in or on must be used: in cars, on a boat, on the telephone, in a taxi).
By is also used with gerunds to show how an action happened:
How did you get an appointment with the President? By calling his secretary.
With is used to indicate the idea of accompaniment or possession:
Melanie came to the party with her friend. He wanted a house with a garage.
Without indicates the opposite relationship:
Melanie came to the party without her friend. He bought a house without a garage.
With also indicates that an instrument was used to perform an action:
He opened the door with a key. Without indicates the opposite relationship:
He opened the door without a key.
By and for are also used in the following expressions:
by chance for example
by far for free
by hand for now
For is sometimes used to show purpose; it means "to get."