{"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":"cf20b85b-5997-59b1-bfe6-6c8be857c39f","task_key":"prealgebra--test--cf20b85b-5997-59b1-bfe6-6c8be857c39f","task_revision_id":"1","upstream_id":"","short_description":"Three squares each have sides of length 6 units and overlap each other as shown…","config":"prealgebra","split":"test","body":"{\"level\":\"Level 3\",\"problem\":\"Three squares each have sides of length 6 units and overlap each other as shown below. The points where the sides cross are midpoints. Find the area of the gray figure in square units.\\n\\n[asy]\\n\\nsize(3cm,3cm);\\n\\nfill((0,1)--(1,1)--(1,2)--(0,2)--cycle,lightgray);\\nfill((0.5,0.5)--(1.5,0.5)--(1.5,1.5)--(0.5,1.5)\\n--cycle,lightgray);\\nfill((1,0)--(2,0)--(2,1)--(1,1)--cycle,lightgray);\\n\\ndraw((0,1)--(1,1)--(1,2)--(0,2)--(0,1));\\ndraw((0.5,0.5)--(1.5,0.5)--(1.5,1.5)--(0.5,1.5)\\n--(0.5,0.5));\\ndraw((1,0)--(2,0)--(2,1)--(1,1)--(1,0));\\n\\ndraw((-0.4,1)--(-0.4,2),Bars);\\nlabel(\\\"6\\\",(-0.4,1.5),UnFill(1));\\n\\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":[]}