{"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":"92cd0ab3-be51-56aa-9c35-00a2fbd72eff","task_key":"counting~5fand~5fprobability--test--92cd0ab3-be51-56aa-9c35-00a2fbd72eff","task_revision_id":"1","upstream_id":"","short_description":"Fourteen white cubes are put together to form the figure on the right. The…","config":"counting_and_probability","split":"test","body":"{\"level\":\"Level 1\",\"problem\":\"Fourteen white cubes are put together to form the figure on the right.  The complete surface of the figure, including the bottom, is painted red.  The figure is then separated into individual cubes.  How many of the individual cubes have exactly four red faces?\\n\\n[asy]\\nsize(150);\\npair a=(1,0),b=(0,1),c=(0.45,0.4);\\n\\nvoid drawcube(pair loc){\\n     filldraw(loc+b--loc--loc+a--loc+a+c--loc+a+b+c--loc+b+c--cycle,white);\\n     draw(loc+b--loc+a+b--loc+a+b+c^^loc+a+b--loc+a);\\n}\\n\\npair location[]={origin,b,a,2a,3a,3a+b,-c,3a-c,-2c,-2c+b,-2c+a,-2c+2a,-2c+3a,-2c+3a+b};\\n\\nfor(int i; i<14;++i){\\n   drawcube(location[i]);\\n}\\n\\n\\n[/asy]\",\"type\":\"Counting & Probability\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://github.com/hendrycks/math","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}