{"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":"eeb859d6-8b7d-5e42-b1da-37505dd6e83a","task_key":"prealgebra--test--eeb859d6-8b7d-5e42-b1da-37505dd6e83a","task_revision_id":"1","upstream_id":"","short_description":"Three circular arcs of radius 5 units bound the region shown. Arcs $AB$ and $AD$…","config":"prealgebra","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"Three circular arcs of radius 5 units bound the region shown. Arcs $AB$ and $AD$ are quarter-circles, and arc $BCD$ is a semicircle. What is the area, in square units, of the region? [asy]\\n/* AMC8 2000 #19 Problem */\\ndraw((0,0)..(1,1)..(2,0));\\ndraw((0,0)..(.7,-.3)..(1,-1));\\ndraw((1,-1)..(1.3, -0.3)..(2,0));\\nlabel(\\\"$A$\\\", (1,-1), SW);\\nlabel(\\\"$B$\\\", (0,0), W);\\nlabel(\\\"$C$\\\", (1,1),N);\\nlabel(\\\"$D$\\\", (2,0),E);\\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":[]}