{"kind":"task","effective_mode":"full","benchmark":{"kind":"benchmark","effective_mode":"full","slug":"math","formal_name":"MATH","introduction":"MATH organises 12,500 high-school competition problems into seven subjects and five difficulty levels, each with a full worked solution. It underlies much of the later mathematics evaluation work; this catalogue imports the full test split: 5,000 problems across all seven subjects.","introduction_ja":"","introduction_en":"","category":"Category not supplied","task_count":null,"acquisition_status":"Acquisition status not supplied","official_url":"https://github.com/hendrycks/math","indexing_mode":"index","profile":{"resources":[],"task_format":"","scoring":"","metric":"","size":"","answer_access":"","license":"","citation":"","maintainer":"","released":"","why_hard":"","related":[],"history":"","construction":"","limitations":"","saturation":"","scores":[]}},"task_id":"05917a0d-2cc7-503a-b6f5-d1a794d1543a","task_key":"geometry--test--05917a0d-2cc7-503a-b6f5-d1a794d1543a","task_revision_id":"1","upstream_id":"","short_description":"We have a triangle $\\triangle ABC$ and a point $K$ on segment $\\overline{BC}$…","config":"geometry","split":"test","body":"{\"level\":\"Level 3\",\"problem\":\"We have a triangle $\\\\triangle ABC$ and a point $K$ on segment $\\\\overline{BC}$ such that $AK$ is an altitude to $\\\\triangle ABC$. If $AK = 6,$ $BK = 8$, and $CK = 6,$ then what is the perimeter of the triangle?\",\"type\":\"Geometry\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://github.com/hendrycks/math","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}