{"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":"db7cbab4-1806-5c3e-910e-5aa4acf7cb2b","task_key":"prealgebra--test--db7cbab4-1806-5c3e-910e-5aa4acf7cb2b","task_revision_id":"1","upstream_id":"","short_description":"In the diagram, the area of rectangle $PQRS$ is $24.$ If $TQ = TR,$ what is the…","config":"prealgebra","split":"test","body":"{\"level\":\"Level 3\",\"problem\":\"In the diagram, the area of rectangle $PQRS$ is $24.$ If $TQ = TR,$ what is the area of quadrilateral $PTRS?$ [asy]\\nsize(100);\\ndraw((0,0)--(6,0)--(6,4)--(0,4)--cycle);\\ndraw((0,4)--(6,2));\\ndraw((5.8,1.1)--(6.2,1.1));\\ndraw((5.8,.9)--(6.2,.9));\\ndraw((5.8,3.1)--(6.2,3.1));\\ndraw((5.8,2.9)--(6.2,2.9));\\nlabel(\\\"$P$\\\",(0,4),NW);\\nlabel(\\\"$S$\\\",(0,0),SW);\\nlabel(\\\"$R$\\\",(6,0),SE);\\nlabel(\\\"$T$\\\",(6,2),E);\\nlabel(\\\"$Q$\\\",(6,4),NE);\\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":[]}