{"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":"39bef9c0-3a42-5779-bef3-d310be7657f5","task_key":"prealgebra--test--39bef9c0-3a42-5779-bef3-d310be7657f5","task_revision_id":"1","upstream_id":"","short_description":"$\\triangle PQR$ has an area of $27\\,\\text{cm}^2$ and a base measuring $6$ cm.…","config":"prealgebra","split":"test","body":"{\"level\":\"Level 2\",\"problem\":\"$\\\\triangle PQR$ has an area of $27\\\\,\\\\text{cm}^2$ and a base measuring $6$ cm. What is the height, $h,$ of $\\\\triangle PQR?$ [asy]\\ndraw((0,0)--(6,0)--(4,9)--cycle);\\ndraw((4,.5)--(4.5,.5)--(4.5,0));\\ndraw((4,9)--(4,0));\\nlabel(\\\"$h$\\\",(4,4.5),E);\\nlabel(\\\"$Q$\\\",(0,0),W);\\nlabel(\\\"$R$\\\",(6,0),E);\\nlabel(\\\"$P$\\\",(4,9),N);\\nlabel(\\\"6 cm\\\",(3,0),S);\\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":[]}