its fine, for me there is not much proof to do yourself, just ones to learn and these are only made examinable so that the lazy people learn them as well, as they give you greater insight (there is a difference to being told and believing something is true, an seeing a proof and knowing it is true).
also the course is not geeky at all for me though Im at a good uni, might vary though. but for me its nowhere near comp sci or physics.
some of mine was a direct continuation of A-levels. if you do well in them, you should it the ground running for atleast part of the course. however in A-level they rarely tough on pure maths. theyb used to call C1-C4 "P1" etc. for pure, but in reality none of this crap is pure.
pure maths is abstract stuff like groups, fields, rings, and eigenthings. it's popular with genral people on the course (not me).
trust me when I say it's the things that deviate most from A-levels which turn out to be the most intriguing. just believe me, if you find A-level maths fun (and I did, once upon a time...) you will enjoy yourself doing a degree in it.