{"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":"6c9f05b9-5669-5aeb-b62e-8c3b4d90e1ae","task_key":"counting~5fand~5fprobability--test--6c9f05b9-5669-5aeb-b62e-8c3b4d90e1ae","task_revision_id":"1","upstream_id":"","short_description":"A target consists of four concentric circles with radii 4 inches, 6 inches, 8…","config":"counting_and_probability","split":"test","body":"{\"level\":\"Level 3\",\"problem\":\"A target consists of four concentric circles with radii 4 inches, 6 inches, 8 inches and 10 inches as shown. Given that a dart is thrown that hits the target at a random point, what is the probability that it hits a shaded region? Express your answer as a common fraction.\\n\\n[asy]size(100); import graph; fill(Circle((0,0),5),gray(.6));\\n\\nclip(Circle((0,0),2) ^^ Circle((0,0),3) ^^ Circle((0,0),4),fillrule(1));\\ndraw(Circle((0,0),2) ^^ Circle((0,0),3) ^^ Circle((0,0),4) ^^ Circle((0,0),5));[/asy]\",\"type\":\"Counting & Probability\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://github.com/hendrycks/math","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}