{"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":"5380b827-6740-56c6-a22a-a6b8ed7b40a0","task_key":"geometry--test--5380b827-6740-56c6-a22a-a6b8ed7b40a0","task_revision_id":"1","upstream_id":"","short_description":"What is the minimum number of small squares that must be colored black so that a…","config":"geometry","split":"test","body":"{\"level\":\"Level 3\",\"problem\":\"What is the minimum number of small squares that must be colored black so that a line of symmetry lies on the diagonal $\\\\overline{BD}$ of square $ABCD$? [asy]\\nfor ( int x = 0; x < 5; ++x )\\n{\\n\\ndraw((0,x)--(4,x));\\n\\ndraw((x,0)--(x,4));\\n}\\n\\nfill((1,0)--(2,0)--(2,1)--(1,1)--cycle);\\nfill((0,3)--(1,3)--(1,4)--(0,4)--cycle);\\nfill((2,3)--(4,3)--(4,4)--(2,4)--cycle);\\nfill((3,1)--(4,1)--(4,2)--(3,2)--cycle);\\nlabel(\\\"$A$\\\", (0, 4), NW);\\nlabel(\\\"$B$\\\", (4, 4), NE);\\nlabel(\\\"$C$\\\", (4, 0), SE);\\nlabel(\\\"$D$\\\", (0, 0), SW);\\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":[]}