{"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":"412c2155-e1f6-540f-bce8-c26c002f4d56","task_key":"geometry--test--412c2155-e1f6-540f-bce8-c26c002f4d56","task_revision_id":"1","upstream_id":"","short_description":"Squares $ABCD$ and $EFGH$ are equal in area. Vertices $B$, $E$, $C$, and $H$ lie…","config":"geometry","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"Squares $ABCD$ and $EFGH$ are equal in area.  Vertices $B$, $E$, $C$, and $H$ lie on the same line.  Diagonal $AC$ is extended to $J$, the midpoint of $GH$.  What is the fraction of the two squares that is shaded? [asy]\\nfill((0,4)--(4,4)--(4,0)--cycle,gray);\\nfill((4,0)--(6,0)--(6,-2)--cycle,gray);\\ndraw((0,0)--(4,0)--(4,4)--(0,4)--cycle,linewidth(1));\\ndraw((2,0)--(6,0)--(6,-4)--(2,-4)--cycle,linewidth(1));\\ndraw((0,4)--(6,-2),linewidth(1));\\nlabel(\\\"$A$\\\",(0,4),NW);\\nlabel(\\\"$B$\\\",(0,0),W);\\nlabel(\\\"$C$\\\",(4,0),NE);\\nlabel(\\\"$D$\\\",(4,4),NE);\\nlabel(\\\"$E$\\\",(2,0),SW);\\nlabel(\\\"$F$\\\",(2,-4),SW);\\nlabel(\\\"$G$\\\",(6,-4),SE);\\nlabel(\\\"$H$\\\",(6,0),E);\\nlabel(\\\"$J$\\\",(6,-2),E);\\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":[]}