{"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":"124da209-cd40-5d79-9f2c-372fbf49ef55","task_key":"geometry--test--124da209-cd40-5d79-9f2c-372fbf49ef55","task_revision_id":"1","upstream_id":"","short_description":"Each of $\\triangle PQR$ and $\\triangle STU$ has an area of $1.$ In $\\triangle…","config":"geometry","split":"test","body":"{\"level\":\"Level 3\",\"problem\":\"Each of $\\\\triangle PQR$ and $\\\\triangle STU$ has an area of $1.$ In $\\\\triangle PQR,$ $U,$ $W,$ and $V$ are the midpoints of the sides. In $\\\\triangle STU,$ $R,$ $V,$ and $W$ are the midpoints of the sides. What is the area of parallelogram $UVRW?$ [asy]\\ndraw((0,0)--(2,0)--(1,2)--cycle,linewidth(1));\\ndraw((0,2)--(2,2)--(1,0)--cycle,linewidth(1));\\nlabel(\\\"$T$\\\",(0,0),SW);\\nlabel(\\\"$R$\\\",(1,0),S);\\nlabel(\\\"$S$\\\",(2,0),SE);\\nlabel(\\\"$W$\\\",(1.5,1),E);\\nlabel(\\\"$Q$\\\",(2,2),NE);\\nlabel(\\\"$U$\\\",(1,2),N);\\nlabel(\\\"$P$\\\",(0,2),NW);\\nlabel(\\\"$V$\\\",(0.5,1),W);\\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":[]}