I can only speak for Missouri, but the highest combined score in a high school game was 243 between Central (126) and Vashon (117) on 2/1/80. The highest score by a single team in a single game was by Dixon High School that dropped 172 on Stoutland high on 12/2/68. Don't know how Missouri compares to the rest of the US.
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Cindy Brown of Long Beach State scored 60 points in one game against San Jose State in 1987.