I had a great idea for my Science Fair project when I was that age: I wanted to have a generator that powered a motor, that ran the generator and thus run forever! I hooked up my bicycle wheel generator to a disk, ran the output to my Erector Set DC motor, then connected the DC motor to pulleys that drove the disk that was connected to the generator. I even added a battery to it to show that it just needed an initial energy source to get started. Needless to say it didn't work, but my project then turned into an explanation as to why it wouldn't work. I showed friction, resistance, windage etc.
Got an A from my science teacher but didn't score well in the overall school contest. When I showcased it, people were still thinking it should have worked; even a lot of the adults! I find that to still be the case today when I get on one of my crusades to debunk these magic box "energy savers". People just want to believe in magic, in spite of evidence to the contrary.