{"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":"c94f6f78-0a64-558a-bec9-a3b4c9797fc6","task_key":"geometry--test--c94f6f78-0a64-558a-bec9-a3b4c9797fc6","task_revision_id":"1","upstream_id":"","short_description":"In the figure shown, a perpendicular segment is drawn from B in rectangle ABCD…","config":"geometry","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"In the figure shown, a perpendicular segment is drawn from B in rectangle ABCD to meet diagonal AC at point X.  Side AB is 6 cm and diagonal AC is 10 cm.  How many centimeters away is point X from the midpoint M of the diagonal AC?  Express your answer as a decimal to the nearest tenth.\\n\\n[asy]\\ndraw((0,0)--(25,0)--(25,15)--(0,15)--cycle,linewidth(1));\\ndraw((0,0)--(25,15),linewidth(1));\\ndraw((7.2,4.3)--(0,15),linewidth(1));\\ndot((12.5,7.5));\\nlabel(\\\"$M$\\\",(12.5,7.5),N);\\nlabel(\\\"$A$\\\",(0,0),S);\\nlabel(\\\"$B$\\\",(0,15),N);\\nlabel(\\\"$C$\\\",(25,15),N);\\nlabel(\\\"$D$\\\",(25,0),S);\\nlabel(\\\"$X$\\\",(7.2,4.3),SE);\\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":[]}