you don't need it for the first year, there are spare copies in the labs and the lab demonstrators will provide whichever information that are needed.
consider wikipedia as well.
think it is possible for the hsc course but not the prelim.
i think maths would have more tests rather than assignments because of the nature of the subject.
most courses says maths as assumed knowledge only, unless its a prerequisite, then you will need it, besides general maths is really simple stuff and there are always bridging courses and revision classes before uni starts, i think you should just concentrate on the hsc now.
same here, with the not available at this time.
but if you're doing subjects you know that will count towards for an UAI, then you are definitely eligible.