I was wondering what's a good way to prioritize one's studying for CFA
Part 1.  Would a short reading of parts of the actual syllabus
followed doing relevant questions from, say, Schweser be a good idea? 
Are there many years of past exam problems compiled and grouped by
topic anywhere?  Do past exam problems reflect well what will be
tested if you get ahold of enough years?

If you have the Schweiser books and original texts then I would recommend:

1.  Read all of the syllabus and LOS and understand the task at hand
well.  If you know every LOS in entirity you will pass the exam 100%
as the exam is based solely on the LOS (Learning Outcome Statements)

2.  Follow the study plan in the Schweiser Level 1 Part 1 book until
the exam.  The Schweiser books do cover the LOS 100% but I recommend
reading the original texts from the persepective of another dimension
to learning.  Read and complete the Schweiser books plus background
read the original texts is good.  There is no reason why you cannt
read the LOS and AIMR recommended texts (which include problem sets)
exclusively.   Schweiser makes it slightly easier, but the academic in
me shouts out for the more rigorous treatment in the cited texts. 
AIMR themselves recommend the LOS (earningOucome Statements) with the
original copies of the recommended reading only.

3.  By the tone of your question I get the feeling you are preparing
for the June '04 exam.  If so then study your ass off.  Yes, if you
learn the Schweiser books it should be enough, but you will not learn
all you could (be at a disadvantage for level 2 if nothing else) and
going for a qualification for it's own sake is a violation of the
AIMR/CFA standards of ethics, IMHO.

4.  If you really are studying now then work 40 hours/week - 20 theory
and 20 practical, at the schedule of the Schweiser Level 1 Book 1 but
double-paced.  You must know the syllabus cold and hard.  AIMR provide
a mock exam as do Schweiser.  Do these 1 month before the exam under
(6 hour long) exam conditions and highlight your weak points from
these.

The best of luck - the CFA is still the gold standard of general
investment awareness.  I hope you can do your best, but that you can
benefit the qualification as much as the qualification benefits you. 
That is the whole point of AIMR and th CFA.

Note:  It is prohibited to remove previous exam papers from the exam
theatre.  If you have 2 mocks this is enough anyway.  Reviewing such
papers invalidates you from the qualification hether you pass the exam
or not.  Only the LOS reflects what you will be asked in the exam.  If
you can achieve 100% knowledge of the LOS on the day you can pass the
exam 100% too.

Thank you for your response, Patrick.  No, I'm not going for the June
exam.  I'm looking for education to fill in the gap in my finance
education.  (I'm in insurance right now.)  Thanks for the feedback. 
Do you want to post your comment as an answer?

Charles