What kind of questions will a teacher ask about the topic character on the book The Outsiders? I need this in order to help me study.I'm...

What a great way to prepare for an exam.  Thinking like a
teacher and challenging yourself to practice questions is a great habit to cultivate
early and use for the rest of your education.

Depending on
the type of exam this is--objective questions like multiple choice, matching, fill in
the blank or subjective questions like essay and short answer--there are a couple of
ways to prepare.  In fact, if it is going to be a little bit of everything, I encourage
you to have a well-rounded view of each of the characters, and an in-depth view of the
main characters.

First, be sure you know the basic
differences in each character.  One common test section for many teachers is a
character-matching section.  Characters names will be listed on one side, and
descriptions or associations will be listed on the other.  Many students mistakenly
assume it will be much easier than it is.  You need to have a keen grasp of each
character in order to distinguish him from the others.

You
are definitely right in preparing possible questions about
characterization, which is the literary technique which focuses on
character personalities and values, but also how they change or do not change.  You
could make a chart for Ponyboy, Johnny, Darrell, and Dallas (and any others that your
teacher really focused on in class) that shows their character at the beginning and end
of the book.  If they go through a major change, note the event(s) that marked that
change.  Information from this kind of a chart could be useful in a number of different
short answer or essay questions, and would not require you to predict all the
possibilities in advance.