Which school are you referring to? There are several private schools for kids in that age range:
Provo Primary is very good as is TCI Middle School. Both are centrally located. The Ashcroft School is in Leeward (think they might have changed their name recently). Good school, wasn't a good fit for my kids. There is also Precious Treasures--much less expensive and their students place very well on the entrance exams to the Collegiate. Last I heard they had the best scores. The Catholic church also has a school.