Should minor making 3000.00 do you have to file federal state taxes?

There are no special tax rules for minors.

Whether the minor needs to file federal taxes depends on the source of the income (earned?, unearned?, self-employment?) and whether the minor can be claimed as a dependent on someone else's tax return (like his parents). I presume the minor is not married, but in some states a minor can marry.

See Tables 1, 2, and 3 on pages 2, 3, and 4 of Publication 501 to determine if you are required to file a federal return:

http://www.irs.gov/pub/irs-pdf/p501.pdf

State tax rules vary by state. In some states, the minimum income can be quite small, like Pennsylvania where it is just $33.