lol it don't really matter i think :s ... many girls have approached guys asking them to go on a date with them, same as those guys would do with asking girls whether they would like to go on a date with them...
its just a question.. like "yo u wanna go on a date with me or what?!" and you get ur answer and see what to do next

lol
Personal Answer: If im good mates with a girl and i thought that the feelings are mutual then i might be the one that will ask the girl "you wanna check me or what?!".. lol i wouldn't sit there hoping for that girl to ask me that question, coz it might not happen or she might be a shy 1!!