{"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":"5aedbd90-04f3-58f9-a1c2-d0b7804d6a38","task_key":"prealgebra--test--5aedbd90-04f3-58f9-a1c2-d0b7804d6a38","task_revision_id":"1","upstream_id":"","short_description":"The square quilt block shown is used in a larger quilt. The four small squares…","config":"prealgebra","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"The square quilt block shown is used in a larger quilt. The four small squares in the block are congruent, and the four small vertical rectangles in the block that are not squares are also congruent. The total area of the shaded regions is what fraction of the total area of the block? Express your answer as a common fraction.\\n\\n[asy]\\nfill((-10,0)--(-5,0)--(-5,5)--cycle,gray(0.7));\\nfill((-5,5)--(-5,10)--(0,10)--cycle,gray(0.7));\\nfill((0,0)--(0,10)--(10,10)--cycle,gray(0.7));\\nfill((0,0)--(-10,-10)--(0,-10)--cycle,gray(0.7));\\nfill((0,-10)--(5,-10)--(5,-5)--cycle,gray(0.7));\\nfill((5,-5)--(5,0)--(10,0)--cycle,gray(0.7));\\ndraw((10,10)--(10,-10)--(-10,-10)--(-10,10)--cycle);\\ndraw((-10,-10)--(10,10));\\ndraw((0,10)--(0,-10));\\ndraw((10,0)--(-10,0));\\ndraw((-5,0)--(-5,10));\\ndraw((5,0)--(5,-10));\\n[/asy]\",\"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":[]}