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Wiktionary
keep score

vb. (context sports games English) To keep track of the score in a game.

Usage examples of "keep score".

You keep score by getting so many points for being seen with the right people, driving a Ferrari or a Rolls, what table you get at Spago or The Ivy, what well-known actress blew you on location, how many of your phone calls to the real power players in town are returned, all that kind of bullshit.

The players seemed not to keep score as they alternated rolls of the ivory pieces, talking quietly.

Brenner, but if you rethink it again, will you please wake me up later so I can keep score?

Yeah, I know, you think I can't keep score, you think I'm sitting here trying to get a suntan?