How Do You Know If Your Team is Really Working Well Together?

This is such a simple question but one, I see as a consultant, that gets overlooked often and at an expense. Not knowing the answer may not only cost in productivity and effectiveness, but it also costs in terms of employee satisfaction. The latter being a term we haven't heard too much about lately, but its relevancy is starting, albeit slowly to come back into the forefront.

Just some ideas to consider and some questions to ask the team itself:

What is the actual purpose of this team? (Sometimes, especially in times of change and stress this gets lost.)
What do we do together that meets this purpose? (Points to how well daily activities align with the bigger purpose.)
Does everyone understand and perform their role to meet this purpose? ( This reveals where the scope of responsibilities and their link to the bigger picture may need clarification and maybe even some rethinking.)
Does the culture of the team promote communication to flow?
If yes, then how? (Identifying what is working is as important as knowing what isn't, so that those effective communications can be maintained.)
If not, where are the breakdowns? (This is a great opportunity to identify where the team process gets derailed, people get stressed and things don't get done well or at all.)
How can we fix them? (The chance to brainstorm solutions after some pointed discussion in and of itself can build team cohesiveness and a more meaningful sense of what it means to work better together).