Prepositions appear most often in phrases which contain an adjective, a noun or pronoun, with the noun or pronoun being the object of the preposition.

Over the hill
After the partyhttps://www.grammarbook.com/grammar/probPrep.asp
On top of the roof
Aboard the boat
Excluding the cats

Commonly used prepositions

about
above
according to
across
after
against
along
along with
amid
among
anti
apart from
around
as
as for
at
because of
before
behind
below
beneath
beside
besides
between
beyond
but
by
by means of
concerning
considering
despite
down
during
except
except for
excepting
excluding
following
for
from
in
in addition to
in back of
in case of
in front of
in place of
inside
in spite of
instead of
into
like
minus
near
next
off
on
onto
opposite
outside
over
on top of
out
out of
past
per
plus
regarding
round
save
since
than
through
throughout
till
to
toward
towards
under
underneath
unlike
until
up
upon
up to
versus
via
with
within
without

Prepositions are the words that show location in the physical world, or location in time.  The way to recognize a preposition is that it will appear as part of a prepositional phrase. A prepositional phrase contains no verbs. Prepositions appear most often in phrases which contain an adjective, a noun or pronoun, with the noun or pronoun being the object of the preposition.