Bah, chess will not win you a date. (maybe a really nerdy chick, but I don't think we are talking about that.)
The number one thing women respond to is humor, if you can make her laugh, you can get her to like you. Make sure she feels comfortable around you, allways be open to listen to her, yet at the same time, you need to be slightly assertive.
This is gonna sound weird, but it's true, most girls like bad boys. Why, oh why, I will never know, but, it is something you can use. Make jokes that only
SLIGHTLY make fun of her and make her laugh at herself. It will boost you an amazing amount. If she says something jokingly mean to you, push her shoulder a little, nothing hurtful, but it's a actualy physical touch that is nessacary for any sort of relationship building. Plus the push is being playful, a very big thing when it comes to the physical attraction part.
I'm sure you allready know all her likes and dislikes, but allways get her talking about herself. Leave open ended questions that she could talk about and fill in with her own stuff. It is an amazing way to continue any converstation with anyone. When she says something that could be taken as a sexual innuendo, smile all goofy like and say something like, "My mind just went in the gutter when you said that!" and Laugh about it, and if she laughs too, your golden! She's totaly in to you at this point.
Take it slow, let the conversation move the feelings, not the other way around. Moving the conversation in the right way will get you to influance her feelings, do it the right way, and you will have HER asking YOU out.
Oh, and before I forget,
DO NOT BE NERVIOUS! I swear, women can smell fear.
Well, good luck to you mate!