{"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":"415abe2c-6600-5764-b9e8-0915824f1a0d","task_key":"geometry--test--415abe2c-6600-5764-b9e8-0915824f1a0d","task_revision_id":"1","upstream_id":"","short_description":"A greeting card is 6 inches wide and 8 inches tall. Point A is 3 inches from the…","config":"geometry","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"A greeting card is 6 inches wide and 8 inches tall. Point A is 3 inches from the fold, as shown. As the card is opened to an angle of 45 degrees, through how many more inches than point A does point B travel? Express your answer as a common fraction in terms of $\\\\pi$. [asy]\\nimport olympiad; import geometry; size(150); defaultpen(linewidth(0.8));\\ndraw((0,0)--(6,0)--(6,8)--(0,8)--cycle);\\nfilldraw((0,0)--(5,-1)--(5,7)--(0,8)--cycle,fillpen=white);\\n\\npair A = 0.5*((0,8)+(5,7));\\nlabel(\\\"$A$\\\",A,SW);\\ndot((5,7));\\ndot(A); label(\\\"$B$\\\",(5,7),SW);\\nlabel(\\\"$8''$\\\",(0,0)--(0,8),W);label(\\\"$6''$\\\",(0,0)--(5,-1),S);\\npoint C = (2.5,3.5);\\nlabel(rotate(-aTan(1/5))*scale(0.8)*\\\"Happy Birthday!\\\",C);\\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":[]}