{"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":"b8aba4c6-df21-5c69-8158-d8f159338d40","task_key":"prealgebra--test--b8aba4c6-df21-5c69-8158-d8f159338d40","task_revision_id":"1","upstream_id":"","short_description":"The circle graph below represents the opinions of $100$ students about their…","config":"prealgebra","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"The circle graph below represents the opinions of $100$ students about their favorite sports. Each student chose exactly one of these four options: Basketball, Hockey, Football, and Other. The following statements are true about the graph:\\n\\n$\\\\bullet$  The number of students who chose Basketball is three times the number of students who chose Other.\\n\\n$\\\\bullet$  Ten more students chose Football than chose Hockey.\\n\\n$\\\\bullet$  The percent of students who chose Basketball plus the percent of students who chose Football equal $65\\\\%.$\\n\\nWhat percent of the students chose Basketball?\\n\\n[asy]\\ndraw(circle((0,0),1),linewidth(2));\\ndraw((0,0)--(0,1),linewidth(2));\\ndraw((0,0)--dir(-35),linewidth(2));\\ndraw((0,0)--dir(137),linewidth(2));\\ndraw((0,0)--dir(-115),linewidth(2));\\n\\nlabel(\\\"Other\\\",1.2*dir(100));\\nlabel(\\\"Football\\\",1.5*dir(10));\\nlabel(\\\"Hockey\\\",1.2*dir(-80));\\nlabel(\\\"Basketball\\\",1.6*dir(180));\\n\\nlabel(\\\"Favorite Sports of 100 Students\\\",(0,1.5));\\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":[]}