{"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":"09c02ae6-1ada-5ce1-b942-6de7ed1054dc","task_key":"geometry--test--09c02ae6-1ada-5ce1-b942-6de7ed1054dc","task_revision_id":"1","upstream_id":"","short_description":"The figure shown is called a trefoil and is constructed by drawing circular…","config":"geometry","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"The figure shown is called a trefoil and is constructed by drawing circular sectors about sides of the congruent equilateral triangles. What is the area of a trefoil whose horizontal base has length 2?\\n\\n[asy]\\nunitsize(1cm);\\npath a =(-1.73,1)..(-1,1.73)--(-2,0)..cycle;\\ndraw(a,linewidth(0.7));\\npath b= (1.73,1)..(2,0)--(1,1.73)..cycle;\\ndraw(b,linewidth(0.7));\\ndraw(shift((1,1.73))*a,linewidth(0.7));\\ndraw(shift((-1,1.73))*b,linewidth(0.7));\\ndraw((-1,1.73)--(1,1.73)--(0,0)--cycle,linewidth(0.7));\\ndraw((-2,0)--(2,0),linewidth(0.7));\\ndraw((-2,-0.2)--(2,-0.2),Arrows);\\nlabel(\\\"2\\\",(0,-0.2),S);\\n[/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":[]}