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The Collaborative International Dictionary
intermediate school

intermediate school \in`ter*me"di*ate school`\, n. A school having grades at a level between the lower primary grades and the upper secondary grades, being variously grades 4 through 6, or grades 7 through 9, etc.

Wiktionary
intermediate school

n. (context schools English) A school for children that serves grades between primary school and high school. These grades vary from anywhere from grade 4 to grade 8.

Usage examples of "intermediate school".

But the rent was cheap, and the place was in a neighborhood with a good intermediate school attended by the smart and competitive sons and daughters of university professors.