Here is a thorough answer synthesizing the textbook sources and clinical literature:
The MMSE is scored out of 30. A single cutoff of <24 is sometimes used for cognitive impairment, but this is unreliable without accounting for education, because less-educated individuals score lower even without dementia, and highly educated individuals with early dementia may still score in the "normal" range.
"The low-normal cut-off is estimated by Crum and colleagues (1993) to be 19 for uneducated people, 23 for graduates of elementary or junior high school, 27 for high school graduates, and 29 for college graduates."