There is no way around it, the per-requisites are per-requisites for a reason. If eveyrone could get an exemption for it, what is the point of making them a pre-requisite, likewise, if one person gets an exemption, out of fairness, so should the next...and the next and the next... you can see it would quickly fall apart. Often, they are actually needed, its easy to see why math is needed for engineering for example.
You either have to do a bridging course that is recognised by the particular university (you must ask but UoM *used to* accept this for methods for example -
http://www.unilearn.net.au/, not sure if they still do).
The other way is to go into a related degree at a university that does not need that subject, some Bsc's do not require methods. The benefit behind that is, once you do COMPLETE the prerequisite at another university and transfer into the one you wanted, they will recognise your science subjects as if you did them at your new university, thus, saving you time. If you do something unrelated like nursing, it would be very difficult to get any of those recognised for say an Arts degree, so, you would have to start everything over again like you did no university.
I realise it's a slightly sucky and unfortunate situation but there is pretty much no foreseeable way you could meet the prerequisites before course selection occurs. I know its harsh but its in no ones best interests to tell you something untrue that will jeopardise you in the long run.
You will either have to:
1) Skip uni and do a bridging course [not recommended at all]
2) Go to any uni that'll take you and
do a similar course there to the one you want to get into. Do the equivalent subject they offer. For example, monash has MTH1010 which is a methods equivalent. [
most recommended]
3) Of course, thirdly, you could do an unrelated course but i dont see much logic behind this.
It would greatly help us if you tell us what course you would like to get into.