{"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":"3c1ce38b-5ff0-59cb-9a3d-b3643ec5028e","task_key":"geometry--test--3c1ce38b-5ff0-59cb-9a3d-b3643ec5028e","task_revision_id":"1","upstream_id":"","short_description":"In right $\\triangle ABC$, shown here, $AB = 15 \\text{ units}$, $AC = 24 \\text{…","config":"geometry","split":"test","body":"{\"level\":\"Level 2\",\"problem\":\"In right $\\\\triangle ABC$, shown here, $AB = 15 \\\\text{ units}$, $AC = 24 \\\\text{ units}$ and points $D,$ $E,$ and $F$ are the midpoints of $\\\\overline{AC}, \\\\overline{AB}$ and $\\\\overline{BC}$, respectively. In square units, what is the area of $\\\\triangle DEF$?\\n\\n[asy]\\nsize(150);\\nimport olympiad;\\npair A,B,C,D,E,F;\\nA = (0,0); B = (15, 0); C = (0, 24);\\nE = midpoint(A--B); D = midpoint(A--C); F = midpoint(B--C);\\ndraw(A--B); draw(B--C); draw(C--A);\\ndraw(D--F); draw(F--E); draw(E--D);\\nlabel(\\\"$A$\\\", A, S);\\nlabel(\\\"$B$\\\", B, S);\\nlabel(\\\"$C$\\\", C, N);\\nlabel(\\\"$D$\\\", D, W);\\nlabel(\\\"$E$\\\", E, S);\\nlabel(\\\"$F$\\\", F, NE);\\ndraw(rightanglemark(C, A, B, 20));\\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":[]}