My HS subjects consisted of high level physics, chemistry, geography and standard level maths, german and english (IB). So far they have prepared me reasonably well for first year engineering. That said, Australian National University does bridging courses and most of first year maths and physics are similar to high school, just with some calculus thrown in for your basic mechanics. There are also different streams of the subjects, with those not having covered as much being able to go into less demanding maths, but being able to move up provided they obtain the grades.
I would definitely take a class that covers calculus and mechanics, design/technology courses would also be fantastic, most of the CAD tutorials are terrible.
I however have gone through the Australian school system and study at an Australian university, so I can't say wether this will help you or not.