{"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":"f05e40f4-c2ef-5d4d-b619-da2398236677","task_key":"geometry--test--f05e40f4-c2ef-5d4d-b619-da2398236677","task_revision_id":"1","upstream_id":"","short_description":"Four diagonals of a regular octagon with side length 2 intersect as shown. Find…","config":"geometry","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"Four diagonals of a regular octagon with side length 2 intersect as shown.  Find the area of the shaded region. [asy]\\npair A, B, C, D, E, F, G, H;\\nreal x = 22.5;\\npair A = dir(x);\\npair B = dir(45+x);\\npair C = dir(45*2+x);\\npair D = dir(45*3+x);\\npair E = dir(45*4+x);\\npair F = dir(45*5+x);\\npair G = dir(45*6+x);\\npair H = dir(45*7+x);\\ndraw(A--B--C--D--E--F--G--H--cycle);\\n\\ndraw(A--D--G);\\ndraw(C--H--E);\\npair Q = intersectionpoint(A--D,C--H);\\npair R = intersectionpoint(H--E,D--G);\\nfilldraw(D--Q--H--R--cycle,heavycyan);\\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":[]}