If a girl is interested in a boy, would she try to start a conversation? Or wait until they boy does?

[Cataphract]

Both are possible. One thing is certain though: if a girl is contacting you, for whatever stupid reason, and she's not your friend already, she likes you. And althoigh that "liking" doesn't have to mean romantically, you can still quite easily hint that you like her at this stage in order to stay out of the so-called "friend zone".