Yes, these nouns are used as singular. Even though they refer to a group of people, or a part of a group of people, they are very specific about who it is. When you have verbs that follow anyone and everyone, they should be in the singular third person. For example:
- Does anyone understand, or do we need to review this concept once again?
- Everyone should take note that this is an important key idea in chemistry, so please study it.
- Everyone is going to watch the movie tonight, and you are invited to come along as well!
