I haven't done a Masters, but I did do a Maths degree with a few subsidiary physics courses about 20 years ago. You will need a significant amount of Maths, Physics, and Chemistry if want to study Atmospheric Physics "properly", e.g. you'll need to know and understand Vector Calculus and partial differential equations when you see them (e.g. Navier-Stokes equations).
However, my advice is not to be intimidated by it. If you can do a degree in Meteorology, you can certainly acquire the Maths you'll need for further study. Like anything else, it just takes practice. Be patient, nobody (and I mean nobody) understands everything in Maths straight away. I highly recommend you invest in the following pair of books:
http://www.amazon.co.uk/Engineering-Mathematics-K-Stroud/dp/1403942463
http://www.amazon.co.uk/Advanced-Engineering-Mathematics-K-Stroud/dp/0230275486/ref=sr_1_1?s=books&ie=UTF8&qid=1361870273&sr=1-1
They will cover everything you need Mathematics-wise with a somewhat unique pedagogical approach. Don't worry about the word "engineering", it's not targeted at that subject: it's just tonnes of practical Maths without the rigorous proofs you would get in a straight Maths course.
Anyway, good luck and have fun and enjoy the Fine City.