The first year of just about any maths degree is going to be pretty core, because there are just so many ideas and techniques and grounding in. The first year pure maths can be sometimes be a little dull because what they're really trying to do is to teach you how to write maths well and rigorously, as much as to teach the ideas. But in that first year you'll be doing stats/probability/mechanics/mathematical modelling/differential equations etc. etc.
Once the first year is over though a wide variety of options usually opens up. You might knock the pure maths bit but even something as abstract as number theory has plenty of applications in cryptography say. And if you really don't like the pure then there's plenty of applied areas, many of them new and rapdily growing like financial mathematics, mathematical biology, bioinformatics, mathematical genetics etc. etc.