Are you working tomorrow? Do you work tomorrow?

You haven't given any context.

I am talking to my friend she is working part-time at the moment not every day and I want to know whether she works tomorrow what kind of question should i ask? Are you working tomorrow or do you work tomorrow? What time are you starting tomorrow or What time do you start tomorrow?

Both are possible. The progressive form is what we'd normally expect, but the non-progressive works as well. It has the idea of "Do you normally work on day X of the week (and tomorrow is day X)?' = 'Is your working tomorrow scheduled?'

Are you working tomorrow? refer to now > tomorrow is a misplacing word.
Do you work tomorrow? refer to routine > tomorrow is a misplacing word.
Will you work tomorrow? refer to future tense.
What time will you start your work tomorrow.

You need to use future tense because you refer to the future based on you written statements.

Anonymoustomorrow is a misplacing word.

What do you mean by that?

AnonymousYou need to use future tense

No you don't. The following are all possible:

What time _________ tomorrow? -

do you start

are you starting

are you going to start

will you

Are you working tomorrow

Are you working tomorrow? Is the correct way I think

Both are correct