{"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":"5acc2685-d14c-5bd3-8972-59a673c1ab87","task_key":"geometry--test--5acc2685-d14c-5bd3-8972-59a673c1ab87","task_revision_id":"1","upstream_id":"","short_description":"The right pyramid shown has a square base and all eight of its edges are the…","config":"geometry","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"The right pyramid shown has a square base and all eight of its edges are the same length. What is the degree measure of angle $ABD$?[asy]size(100);\\nimport three; defaultpen(linewidth(0.7)); currentprojection = orthographic(0.8,-1,0.15);\\npen sm = fontsize(8); triple A = (.5,.5,1), B = (0,0,0), C = (1,0,0), D = (1,1,0), E = (0,1,0); /* should be A = (.5,.5,1/2^.5) */\\ndraw(A--B--C--D--A--C); draw(A--E--D,linewidth(0.7)+linetype(\\\"3 3\\\")); draw(B--E,linewidth(0.7)+linetype(\\\"2 2\\\"));\\nlabel(\\\"A\\\",A,N,sm); label(\\\"B\\\",B,S,sm); label(\\\"C\\\",C,S,sm);label(\\\"D\\\",D,(1,0),sm);label(\\\"E\\\",E,NW,sm);\\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":[]}