Scientist though I may be, I probably know less of the periodic table than you do. Give this online test-your-memory version a whirl.
I am proud to say that despite the astronomy quips of "there's Hydrogen, Helium, and everything else," "we have three elements: X, Y, and Z," and "everything other than Hydrogen and Helium is a metal," I managed to get 7 right on my first try. I knew where Berylium was (it and Lithium are important in cosmology), but forgot the "e" in Be. The others were CNO, useful in fusion in massive stars, and in general science classes. Another couple attempts saw me place Argon and Xenon, but I didn't have the patience to narrow down where the 8 or so others whose names I know would be located. Sadly I don't know where Iron (Fe - last thing that everything fuses to naturally in massive stars) or Uranium (I have a nice talk on nuclear powerplants that will see Homeland Security drag me away someday) are located.
My personal lack of memorization skills is one of the reasons I try not to require too much memorizing from my own students (understanding concepts is more important to me). If you give the periodic table quiz a shot, along with telling me your score, please tell me your college major or current occupation so I don't feel so bad. :-P And expect a post in the next few days explaining those astrojokes above. I'm not saying you'll get one, but you're free to expect whatever you want. :)