{"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 algebra / test selection.","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":"noindex","profile":{"resources":[],"task_format":"","scoring":"","metric":"","size":"","answer_access":"","license":"","citation":"","maintainer":"","released":"","why_hard":"","related":[]}},"task_id":"f0a25e9d-d474-57f5-847a-c237adc047f7","task_key":"algebra--test--f0a25e9d-d474-57f5-847a-c237adc047f7","task_revision_id":"2","upstream_id":"","short_description":"Consider this pattern where the positive, proper fractions with denominator…","config":"algebra","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"Consider this pattern where the positive, proper fractions with denominator $(n+1)$  are arranged in the $n$th row in a triangular formation. The 1st through 4th rows are shown; each row has one more entry than the previous row. What is the sum of the fractions in the 15th row?\\n\\n[asy]\\nlabel(\\\"$\\\\frac{1}{2}$\\\",(0,0),S);\\nlabel(\\\"$\\\\frac{1}{3}$\\\",(-5,-5),S);\\nlabel(\\\"$\\\\frac{2}{3}$\\\",(5,-5),S);\\nlabel(\\\"$\\\\frac{1}{4}$\\\",(-10,-10),S);\\nlabel(\\\"$\\\\frac{2}{4}$\\\",(0,-10),S);\\nlabel(\\\"$\\\\frac{3}{4}$\\\",(10,-10),S);\\nlabel(\\\"$\\\\frac{1}{5}$\\\",(-15,-15),S);\\nlabel(\\\"$\\\\frac{2}{5}$\\\",(-5,-15),S);\\nlabel(\\\"$\\\\frac{3}{5}$\\\",(5,-15),S);\\nlabel(\\\"$\\\\frac{4}{5}$\\\",(15,-15),S);\\ndot((0,-22));\\ndot((0,-20));\\ndot((0,-24));\\n[/asy]\",\"type\":\"Algebra\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://github.com/hendrycks/math","history":"initial import","indexing_mode":"noindex","subproblems":[],"grids":[]}