{"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":"e1f6f5a5-644c-5137-9a8c-f60a0118703a","task_key":"prealgebra--test--e1f6f5a5-644c-5137-9a8c-f60a0118703a","task_revision_id":"1","upstream_id":"","short_description":"Three concentric circles are shown. The two largest circles have radii of $12$…","config":"prealgebra","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"Three concentric circles are shown. The two largest circles have radii of $12$ and $13.$ If the area of the ring between the two largest circles equals the area of the smallest circle, determine the radius of the smallest circle.\\n\\n[asy]\\nimport graph;\\nfilldraw(circle((0,0),12), lightgray, black+linewidth(1));\\nfilldraw(circle((0,0),10), white, black+linewidth(1));\\nfilldraw(circle((0,0),6), gray, black+linewidth(1));\\ndot((0,0));\\n[/asy]\",\"type\":\"Prealgebra\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://github.com/hendrycks/math","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}