{"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":"f43d1f2d-7104-5b7e-941e-56296a293d2e","task_key":"geometry--test--f43d1f2d-7104-5b7e-941e-56296a293d2e","task_revision_id":"1","upstream_id":"","short_description":"A rectangular box is 4 cm thick, and its square bases measure 16 cm by 16 cm.…","config":"geometry","split":"test","body":"{\"level\":\"Level 3\",\"problem\":\"A rectangular box is 4 cm thick, and its square bases measure 16 cm by 16 cm. What is the distance, in centimeters, from the center point $P$ of one square base to corner $Q$ of the opposite base? Express your answer in simplest terms.\\n\\n[asy]\\nimport three;\\ndraw((0,0,1/4)--(1,0,1/4)--(1,1,1/4)--(0,1,1/4)--(0,0,1/4)--cycle,linewidth(2));\\n\\ndraw((0,1,0)--(1,1,0),linewidth(2));\\ndraw((1,1,0)--(1,0,0),linewidth(2));\\ndraw((0,1,0)--(0,1,1/4),linewidth(2));\\ndraw((1,1,0)--(1,1,1/4),linewidth(2));\\ndraw((1,0,0)--(1,0,1/4),linewidth(2));\\n\\ndot((1/2,1/2,1/4));\\ndot((0,1,0));\\n\\nlabel(\\\"$P$\\\",(1/2,1/2,1/4),W);\\nlabel(\\\"$Q$\\\",(0,1,0),E);\\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":[]}