{"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":"ab1b3237-7272-55eb-96a4-6d337d5197cd","task_key":"prealgebra--test--ab1b3237-7272-55eb-96a4-6d337d5197cd","task_revision_id":"1","upstream_id":"","short_description":"Two shaded quarter-circles, each with a radius of 4 units, are formed in the 4…","config":"prealgebra","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"Two shaded quarter-circles, each with a radius of 4 units, are formed in the 4 by 8 rectangular region shown. What is the area of the non-shaded region, in square units? Express the area in the form $a-b\\\\pi$ where $a$ and $b$ are integers.\\n\\n[asy]\\n\\nsize(4cm,4cm);\\n\\npair A,B,C,D,a,b,X;\\n\\nA=(0,0);\\nB=(8,0);\\nC=(8,4);\\nD=(0,4);\\n\\nX=(4,4);\\n\\ndraw(A--B--C--D--A);\\n\\na=(3,1.5);\\n\\nfill((A..a..X--D--A--cycle),gray);\\n\\ndraw(A..a..X);\\n\\nb=(5,1.5);\\n\\nfill((B..b..X--C--B--cycle),gray);\\n\\ndraw(B..b..X);\\n\\nlabel(\\\"$8$\\\",midpoint(A--B),S);\\nlabel(\\\"$4$\\\",midpoint(B--C),E);\\n\\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":[]}