See if you can attend a worship service at Synagogue. You'll learn a few things about the customs, traditions and practices of the Jewish religion.
Wandering around this Jewish house of worship won't cost you a cent, which is welcome news if you're chasing free things to do. You'll find Synagogue in Sighetu Marmatiei. There are loads more attractions to explore in the vicinity, including Maramureş Museum, Sighetu Marmatiei Cathedral and Memorial to the Victims of Communism and to the Resistance.