Ok. I've just had a look at the STEP website and seen a couple of papers. They look hard, but given that the format is best of any 6 questions out of quite a wide range, they don't look quite so intimidating. I think it would require a lot of preparation, but it helps that there are 12 years worth of past papers and answers which would help with getting into the right mindset. So, to contradict what I claimed earlier, I suspect I probably could give them a decent shot... and actually I think probably most reasonable maths graduates should be able to do so