{"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":"198b1f06-9878-5014-8c85-2a85ad71e619","task_key":"geometry--test--198b1f06-9878-5014-8c85-2a85ad71e619","task_revision_id":"1","upstream_id":"","short_description":"In the diagram, the two triangles shown have parallel bases. What is the ratio…","config":"geometry","split":"test","body":"{\"level\":\"Level 3\",\"problem\":\"In the diagram, the two triangles shown have parallel bases. What is the ratio of the area of the smaller triangle to the area of the larger triangle? Express your answer as a common fraction. [asy] path p = (0,0)--dir(-60)--dir(-120)--(0,0);\\ndraw(p); draw(scale(3)*p);\\nlabel(\\\"4 cm\\\",dir(-60)--dir(-120),S); label(\\\"10 cm\\\",3*dir(-60)--3dir(-120),S);\\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":[]}