{"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":"36998ee6-fcbd-557d-ab58-36a0370af776","task_key":"geometry--test--36998ee6-fcbd-557d-ab58-36a0370af776","task_revision_id":"1","upstream_id":"","short_description":"If $a$, $b$, and $c$ are consecutive integers, find the area of the shaded…","config":"geometry","split":"test","body":"{\"level\":\"Level 3\",\"problem\":\"If $a$, $b$, and $c$ are consecutive integers, find the area of the shaded region in the square below: [asy]\\nsize(1.75inch);\\npair A, B, C, D, W, X, Y, Z;\\nA = (0,0); B = (7,0); C = (7,7); D = (0,7);\\nW = (3,0); X = (7,3); Y = (4,7); Z = (0,4);\\ndraw(A--B--C--D--cycle); draw(W--X--Y--Z--cycle);\\nfill(A--W--Z--cycle, gray); fill(B--X--W--cycle, gray); fill(C--Y--X--cycle, gray); fill(D--Z--Y--cycle, gray);\\nlabel(\\\"$a$\\\", A--W); label(\\\"$b$\\\", W--B); label(\\\"$a$\\\", B--X); label(\\\"$b$\\\", X--C);\\nlabel(\\\"$a$\\\", C--Y); label(\\\"$b$\\\", Y--D); label(\\\"$a$\\\", D--Z); label(\\\"$b$\\\", Z--A);\\nlabel(\\\"$c$\\\", W--X, NW); label(\\\"$c$\\\", X--Y, SW); label(\\\"$c$\\\", Y--Z, SE); label(\\\"$c$\\\", Z--W, NE);\\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":[]}