(Original post by Lucia.)
Start off with something low-key and build it up from there...even if it's just asking what the homework is for that week or whatever. You could always become study buddies ref: "10 Things I Hate About You", "Mean Girls" and "The Inbetweeners" - seems to be a time-honoured technique.
(Original post by Mr Advice)
It appears you like her; she clearly does but is too shy. The ball is on your court now. If you are friends with any of the people in that group and can trust them, ask him/her if she knows anything.
(Original post by Anonymous)
Should i ask her if she wants to go grab a coffee sometime? I'm not going to see her for over a week due to halfterm?
Play it like this. Build up some friendly rapport with her and when it feels right say something like, "Hey we should go out for a drink sometime". If she comes up with an excuse to say she's busy then she's kindly rejecting you; if she starts asking you when and where to meet etc then you're in there.