There are various codes that indicate what test configurations qualify welders for specific welds. Because of the variation in codes and materials there can be quite a few. For most manual and semi automatic processes, the common tests involve a single vee groove configuration in plate or pipe. In some cases these MUST meet certain dimensions. In other cases the dimensions can vary.
Single Vee Grooves on plate are often done on backing with 3/8" and thicker material. Normally a 45 degree included angle with a 3/16" to 1/4" root opening. This is a common test.
Pipe Tests are sometimes done on backing rings but most often in the industries I have worked in, they are done with an open root configuration with SMAW or GTAW used for the root pass.
The tests can all vary in position, thickness, diameter and even fitup if a company so desires and if it is within their quality requirements. I have seen companies hire welders with a single fillet weld placed in the corner of a piece of angle iron. Not right in my opinion, but its their company.
There is an illustration of an AWS D1.1 6GR test at
http://weldingdata.com/6grSample.htm Have a good day
Gerald Austin