{"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":"a5270c06-e252-5e27-a00a-09169d9e3cf2","task_key":"prealgebra--test--a5270c06-e252-5e27-a00a-09169d9e3cf2","task_revision_id":"1","upstream_id":"","short_description":"$\\textbf{Juan's Old Stamping Grounds}$","config":"prealgebra","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"$\\\\textbf{Juan's Old Stamping Grounds}$\\n\\nJuan organizes the stamps in his collection by country and by the decade in which they were issued. The prices he paid for them at a stamp shop were: Brazil and France, $6$ cents each, Peru $4$ cents each, and Spain $5$ cents each. (Brazil and Peru are South American countries and France and Spain are in Europe.) [asy]\\n/* AMC8 2002 #8, 9, 10 Problem */\\nsize(3inch, 1.5inch);\\nfor ( int y = 0; y <= 5; ++y )\\n{\\n\\ndraw((0,y)--(18,y));\\n}\\ndraw((0,0)--(0,5));\\ndraw((6,0)--(6,5));\\ndraw((9,0)--(9,5));\\ndraw((12,0)--(12,5));\\ndraw((15,0)--(15,5));\\ndraw((18,0)--(18,5));\\n\\nlabel(scale(0.8)*\\\"50s\\\", (7.5,4.5));\\nlabel(scale(0.8)*\\\"4\\\", (7.5,3.5));\\nlabel(scale(0.8)*\\\"8\\\", (7.5,2.5));\\nlabel(scale(0.8)*\\\"6\\\", (7.5,1.5));\\nlabel(scale(0.8)*\\\"3\\\", (7.5,0.5));\\n\\nlabel(scale(0.8)*\\\"60s\\\", (10.5,4.5));\\nlabel(scale(0.8)*\\\"7\\\", (10.5,3.5));\\nlabel(scale(0.8)*\\\"4\\\", (10.5,2.5));\\nlabel(scale(0.8)*\\\"4\\\", (10.5,1.5));\\nlabel(scale(0.8)*\\\"9\\\", (10.5,0.5));\\n\\nlabel(scale(0.8)*\\\"70s\\\", (13.5,4.5));\\nlabel(scale(0.8)*\\\"12\\\", (13.5,3.5));\\nlabel(scale(0.8)*\\\"12\\\", (13.5,2.5));\\nlabel(scale(0.8)*\\\"6\\\", (13.5,1.5));\\nlabel(scale(0.8)*\\\"13\\\", (13.5,0.5));\\n\\nlabel(scale(0.8)*\\\"80s\\\", (16.5,4.5));\\nlabel(scale(0.8)*\\\"8\\\", (16.5,3.5));\\nlabel(scale(0.8)*\\\"15\\\", (16.5,2.5));\\nlabel(scale(0.8)*\\\"10\\\", (16.5,1.5));\\nlabel(scale(0.8)*\\\"9\\\", (16.5,0.5));\\n\\nlabel(scale(0.8)*\\\"Country\\\", (3,4.5));\\nlabel(scale(0.8)*\\\"Brazil\\\", (3,3.5));\\nlabel(scale(0.8)*\\\"France\\\", (3,2.5));\\nlabel(scale(0.8)*\\\"Peru\\\", (3,1.5));\\nlabel(scale(0.8)*\\\"Spain\\\", (3,0.5));\\n\\nlabel(scale(0.9)*\\\"Juan's Stamp Collection\\\", (9,0), S);\\nlabel(scale(0.9)*\\\"Number of Stamps by Decade\\\", (9,5), N);\\n[/asy] What was the average price, in cents, of his $70\\\\text{'s}$ stamps? Round your answer to the nearest tenth of a cent.\",\"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":[]}