{"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":"c3e5af3c-1d7a-5707-bdf4-d843de289637","task_key":"geometry--test--c3e5af3c-1d7a-5707-bdf4-d843de289637","task_revision_id":"1","upstream_id":"","short_description":"In the figure below, quadrilateral $CDEG$ is a square with $CD = 3$, and…","config":"geometry","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"In the figure below, quadrilateral $CDEG$ is a square with $CD = 3$, and quadrilateral $BEFH$ is a rectangle. If $BE = 5$, how many units is $BH$? Express your answer as a mixed number. [asy]\\nunitsize(5mm);\\ndefaultpen(linewidth(.7pt)+fontsize(8pt));\\n\\npair A=(0,0), B=(3,0), C=(6,0), D=(9,0), Ep=(9,3), G=(6,3);\\npair F0=bisectorpoint(B,2*Ep-B), H0=bisectorpoint(Ep,2*B-Ep);\\npair H=extension(B,H0,A,G);\\npair F=extension(Ep,F0,A,G);\\n\\ndraw(H--B--Ep--F--A--D--Ep--G--C);\\nlabel(\\\"$A$\\\",A,S);\\nlabel(\\\"$B$\\\",B,S);\\nlabel(\\\"$C$\\\",C,S);\\nlabel(\\\"$D$\\\",D,S);\\nlabel(\\\"$E$\\\",Ep,E);\\nlabel(\\\"$F$\\\",F,N);\\nlabel(\\\"$G$\\\",G,NW);\\nlabel(\\\"$H$\\\",H,NW);\\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":[]}