{"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":"85551fd5-0145-51fd-ad6c-1fdb9f68a9cc","task_key":"geometry--test--85551fd5-0145-51fd-ad6c-1fdb9f68a9cc","task_revision_id":"1","upstream_id":"","short_description":"In the diagram, $D$ and $E$ are the midpoints of $\\overline{AB}$ and…","config":"geometry","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"In the diagram, $D$ and $E$ are the midpoints of $\\\\overline{AB}$ and $\\\\overline{BC}$ respectively.  Determine the area of quadrilateral $DBEF$. [asy]\\nsize(180); defaultpen(linewidth(.7pt)+fontsize(10pt));\\npair A, B, C, D, E, F;\\nA=(0,6);\\nB=(0,0);\\nC=(8,0);\\nD=(0,3);\\nE=(4,0);\\nF=(8/3,2);\\ndraw(E--A--C--D);\\ndraw((-1,0)--(10,0), EndArrow);\\ndraw((0,-1)--(0,8), EndArrow);\\nlabel(\\\"$A(0,6)$\\\", A, W);\\nlabel(\\\"$B(0,0)$\\\", B, SW);\\nlabel(\\\"$C(8,0)$\\\", C, S);\\nlabel(\\\"$D$\\\", D, W);\\nlabel(\\\"$E$\\\", E, S);\\nlabel(\\\"$F$\\\", F, SW);\\nlabel(\\\"$x$\\\", (10,0), dir(0));\\nlabel(\\\"$y$\\\", (0,8), dir(90));\\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":[]}