{"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":"4be65b88-3c41-5cdf-be2f-ed5590ca7a3f","task_key":"prealgebra--test--4be65b88-3c41-5cdf-be2f-ed5590ca7a3f","task_revision_id":"1","upstream_id":"","short_description":"A \"slackrope walker\" is much like a tightrope walker except that the rope on…","config":"prealgebra","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"A \\\"slackrope walker\\\" is much like a tightrope walker except that the rope on which he performs is not pulled tight. Paul, a slackrope walker, has a rope tied to two $15\\\\text{ m}$ high poles which are $14\\\\text{ m}$ apart. When he is standing on the rope $5\\\\text{ m}$ away from one of the poles, he is $3\\\\text{ m}$ above the ground. How long in meters is the rope?\\n\\n[asy]\\ndraw((0,0)--(14,0)--(14,15)--(5,3)--(0,15)--cycle,black+linewidth(1));\\ndraw((0,3)--(5,3)--(5,0),black+linewidth(1)+dashed);\\ndraw((0,-3)--(6,-3),black+linewidth(1));\\ndraw((8,-3)--(14,-3),black+linewidth(1));\\ndraw((0,-3.5)--(0,-2.5),black+linewidth(1));\\ndraw((14,-3.5)--(14,-2.5),black+linewidth(1));\\ndraw((0,0)--(1,0)--(1,1)--(0,1)--cycle,black+linewidth(1));\\ndraw((14,0)--(14,1)--(13,1)--(13,0)--cycle,black+linewidth(1));\\ndraw(rotate(90)*Label(\\\"Paul\\\"),(5,3),3N);\\nlabel(\\\"5\\\",(0,3)--(5,3),N);\\nlabel(\\\"3\\\",(5,0)--(5,3),E);\\nlabel(\\\"14\\\",(7,-3));\\nlabel(\\\"15\\\",(14,0)--(14,15),E);\\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":[]}