Reading your post has made me realise that I make quite a deal about the proper(?) technique of constructions and just class the GCSE questions you describe as protractor work. For your other question I call a protractor a protractor and an angle measurer is the full 360, blue tool with the arm that the students break off. It doesn't really matter what I call them as many of my students call them compasses. I quite like the full angle measurer as it just seems a much more appropriate tool for measuring angles (what with the arm that actually *turns* as well as it going up to 360).