Scholastic has many categoies. Writing is just one of them.
https://www.artandwriting.org/awards/how-to-enter/categories/
https://www.maa.org/math-competitions/american-invitational-mathematics-examination-aime
AIME Qualification Changes
Starting in 2011, the qualification parameters will be slightly relaxed for the American Invitational Mathematics Examination (AIME). For students taking the 2012 AMC 10 contests, we will invite students in the top 2.5% of all scorers or scorers with at least 120 points (whichever is more inclusive) to the AIME. This differs from the values of 1% (or 120 points) which have been in effect since 2004. For students taking the 2012 AMC 12, we will invite students in the top 5% of all scorers or scorers with at least 100 points to the AIME. These AMC 12 qualification values remain at the same level they have been since 2000. This policy guards against the possibility of a particularly difficult examination, one on which the scores are uniformly lower than normal, reducing the number of AIME qualifiers
