{"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":"9c78ec89-cc27-5d43-a11c-4a9aee206275","task_key":"geometry--test--9c78ec89-cc27-5d43-a11c-4a9aee206275","task_revision_id":"1","upstream_id":"","short_description":"A belt is drawn tightly around three circles of radius $10$ cm each, as shown.…","config":"geometry","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"A belt is drawn tightly around three circles of radius $10$ cm each, as shown. The length of the belt, in cm, can be written in the form $a + b\\\\pi$ for rational numbers $a$ and $b$. What is the value of $a + b$? [asy]\\n\\nsize(120); defaultpen(linewidth(0.8));\\npicture p; real r = 3^.5/2;\\npair A = expi(-pi/6); draw(p, circle(A, r)); draw(p, (A.x,A.y - r) -- (-A.x,A.y - r));\\nadd(p); add(rotate(120)*p); add(rotate(240)*p);\\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":[]}