{"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":"9a9898c0-8ef1-55e3-b47e-4f483c41af32","task_key":"geometry--test--9a9898c0-8ef1-55e3-b47e-4f483c41af32","task_revision_id":"1","upstream_id":"","short_description":"Corner $A$ of a rectangular piece of paper of width 8 inches is folded over so…","config":"geometry","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"Corner $A$ of a rectangular piece of paper of width 8 inches is folded over so that it coincides with point $C$ on the opposite side. If $BC = 5$ inches, find the length in inches of fold $l$.\\n\\n[asy]\\nsize(100);\\n\\ndraw( (0,0) -- (8,0) -- (8, 10) -- (0, 10) -- cycle);\\ndot((8,10)); dot((0,6)); dot((3,10));\\nlabel(\\\"$A$\\\", (8,10) , NE); label(\\\"$C$\\\", (0,6), W); label(\\\"$B$\\\", (3,10), N);\\nlabel(\\\" $8''$ \\\", (0,0)--(8,0), S);\\n\\ndraw((0,0)--(8,0)); draw((0,0)--(0,6)); draw((0,10)--(3,10));\\ndraw((8,0)--(3,10), 1pt+dashed);\\ndraw((0,6)--(3,10)); draw((0,6)--(8,0));\\nlabel (\\\"$l$\\\", (6,6), SE);\\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":[]}