I have never been asked for one,

so should i give her my number if not asked for.

Pro is that she will know that its me when i am calling (and she is screening strangers)
Con is that she will know that its me when i am calling (she is screening me and doesn't want to pick up , which is what is happening to me lately)

Get her number. Dont leave the choice of a text or phone call with her. YOU need to have the control of the game.

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Get her number then call her phone so she has yours too. This serves two purposes... firstly she'll have your number so she knows for a fact that it's you when you call later. Some girls I know won't answer calls from numbers they don't recognise and even if they met someone earlier that day they won't chance it. Instead, they'll text asking who it is and that'll get you stuck in a text convo.

The other reason you do this is to make sure she hasn't made a mistake typing her number in. It happens... don't make a big deal of it. Just assume she made a mistake and tease her about it, then let her do it again.