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What songs should you be playing on the piano at 13 years old and four year experience?

I have been playing the piano for about four years, and I would like to know what level I am supposed to be at. I have seen five year olds that can play "Alla Turca"( which blew me away),and seven year olds that are already early intermediate.

There's not level that your supposed to be at, everyone is at a different level. Some people advance quicker than others, and some start earlier, so everyone is going to be different. Just play pieces that you enjoy!