{"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":"03779fd6-8825-5c30-a073-3c924b4e8a9a","task_key":"geometry--test--03779fd6-8825-5c30-a073-3c924b4e8a9a","task_revision_id":"1","upstream_id":"","short_description":"The figure below consists of four semicircles and the 16-cm diameter of the…","config":"geometry","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"The figure below consists of four semicircles and the 16-cm diameter of the largest semicircle. What is the total number of square cm in the area of the two shaded regions? Use 3.14 as an approximation for $\\\\pi$, and express your answer as a decimal to the nearest tenth.\\n\\n[asy]import graph;\\nsize(200);\\npicture p;\\nreal h = .25,w = 1,textsize = 10pt,width = 1;\\nfilldraw(Arc((8,0),8,0,180)--cycle,gray(.6),black+linewidth(width));\\nfilldraw(Arc((6,0),6,0,180)--cycle,white,black+linewidth(width));\\nfilldraw(Arc((4,0),4,0,180)--cycle,gray(.6),black+linewidth(width));\\nfilldraw(Arc((2,0),2,0,180)--cycle,white,black+linewidth(width));\\ndraw(p,(0,h)--(0,-h)^^(0,0)--(4,0)^^(4,h)--(4,-h),linewidth(width));\\nfill(p,(w,h)--(4-w,h)--(4-w,-h)--(w,-h)--cycle,white);\\nlabel(p,\\\"4 cm\\\",(2,0),fontsize(textsize));\\nadd(shift(.5*down)*p);\\nadd(shift(4*right)*shift(.5*down)*p);\\nadd(shift(8*right)*shift(.5*down)*p);\\nadd(shift(12*right)*shift(.5*down)*p);[/asy]\",\"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":[]}