{"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":"5309313c-63d7-5cbd-b29a-82f297887efb","task_key":"prealgebra--test--5309313c-63d7-5cbd-b29a-82f297887efb","task_revision_id":"1","upstream_id":"","short_description":"$AB = 20$ cm, $m \\angle A = 30^\\circ$, and $m \\angle C = 45^\\circ$. Express the…","config":"prealgebra","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"$AB = 20$ cm, $m \\\\angle A = 30^\\\\circ$, and $m \\\\angle C = 45^\\\\circ$. Express the number of centimeters in the length of $\\\\overline{BC}$ in simplest radical form. [asy]\\nimport olympiad; size(200); import geometry; import graph; defaultpen(linewidth(0.8));\\npair A = origin, B = (10*sqrt(3),10), C = (10*sqrt(3) + 10,0);\\ndraw(Label(\\\"$20$\\\",align=NW),A--B); draw(B--C); draw(A--C);\\nlabel(\\\"$A$\\\",A,W); label(\\\"$B$\\\",B,N); label(\\\"$C$\\\",C,E);\\n[/asy]\",\"type\":\"Prealgebra\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://github.com/hendrycks/math","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}