{"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":"a1a7b626-d2a6-5a7e-a2af-1d57fc97f51e","task_key":"geometry--test--a1a7b626-d2a6-5a7e-a2af-1d57fc97f51e","task_revision_id":"1","upstream_id":"","short_description":"The measure of one of the smaller base angles of an isosceles trapezoid is…","config":"geometry","split":"test","body":"{\"level\":\"Level 3\",\"problem\":\"The measure of one of the smaller base angles of an isosceles trapezoid is $60^\\\\circ$. The shorter base is 5 inches long and the altitude is $2 \\\\sqrt{3}$ inches long. What is the number of inches in the perimeter of the trapezoid? [asy]\\nimport markers;\\nimport olympiad; size(150); import geometry; import graph; defaultpen(linewidth(0.8));\\ndraw(origin--(9,0)--(7,2*sqrt(3))--(2,2*sqrt(3))--cycle);\\ndraw(Label(\\\"$2\\\\sqrt{3}$\\\",align=E),(2,2*sqrt(3))--(2,0),dashed);\\nlabel(\\\"5\\\",(7,2*sqrt(3))--(2,2*sqrt(3)),N);\\nmarkangle(Label(\\\"$60^{\\\\circ}$\\\"),(9,0),origin,(2,2*sqrt(3)),radius=10);\\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":[]}