Here is a typical set for a Chnese place setting. We have a cup, a rice bowl, chopsticks and a spoon. The small plate is mainly used for discarded bones* etc.
Incidentally, this set is made from bio-degradable rice husks and is used for food deliveries (although most still use plastic). The chopsticks are bamboo.
In restaurants, you are more likely to be given porcelain spoons and plates etc. The chopsticks will be wooden. Restaurants tend to 'rent' their tableware from a service whitch takes them away each night, and cleans and stabilises them, wraps each set in plastic and redelivers in the morning.
* Most foods come on the bone in China.