{"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":"48c090d3-ab30-5829-837f-b78c52005640","task_key":"geometry--test--48c090d3-ab30-5829-837f-b78c52005640","task_revision_id":"1","upstream_id":"","short_description":"Rhombus $ABCD$ is similar to rhombus $BFDE$. The area of rhombus $ABCD$ is 24,…","config":"geometry","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"Rhombus $ABCD$ is similar to rhombus $BFDE$. The area of rhombus $ABCD$ is 24, and $\\\\angle BAD=60^\\\\circ$. What is the area of rhombus $BFDE$?\\n\\n[asy]\\npair A,B,C,D,I,F;\\nA=(0,0);\\nB=(10,0);\\nC=(15,8.7);\\nD=(5,8.7);\\nI=(5,2.88);\\nF=(10,5.82);\\ndraw(A--B--C--D--cycle,linewidth(0.7));\\ndraw(D--I--B--F--cycle,linewidth(0.7));\\nlabel(\\\"$A$\\\",A,SW);\\nlabel(\\\"$B$\\\",B,SE);\\nlabel(\\\"$C$\\\",C,NE);\\nlabel(\\\"$D$\\\",D,NW);\\nlabel(\\\"$E$\\\",I,W);\\nlabel(\\\"$F$\\\",F,E);\\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":[]}