{"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":"9039c02e-b67c-535f-9950-7051b907d8fe","task_key":"geometry--test--9039c02e-b67c-535f-9950-7051b907d8fe","task_revision_id":"1","upstream_id":"","short_description":"In the figure below, isosceles $\\triangle ABC$ with base $\\overline{AB}$ has…","config":"geometry","split":"test","body":"{\"level\":\"Level 3\",\"problem\":\"In the figure below, isosceles $\\\\triangle ABC$ with base $\\\\overline{AB}$ has altitude $CH = 24$ cm. $DE = GF$, $HF = 12$ cm, and $FB = 6$ cm. What is the number of square centimeters in the area of pentagon $CDEFG$? [asy]\\nimport olympiad; import geometry; size(200); defaultpen(linewidth(0.8));\\npair A = (-18,0), B = (18,0), C = (0,24), D = (-12,8), E = (-12,0), F = (12,0), G = (12,8), H = (0,0);\\ndraw(A--C--B--cycle);\\ndraw(D--E);\\ndraw(G--F);\\ndraw(C--H);\\ndraw(rightanglemark(D,E,F,30));\\ndraw(rightanglemark(C,H,F,30));\\ndraw(rightanglemark(G,F,B,30));\\nlabel(\\\"$A$\\\",A,W); label(\\\"$B$\\\",B,dir(0)); label(\\\"$C$\\\",C,N); label(\\\"$D$\\\",D,NW); label(\\\"$E$\\\",E,S); label(\\\"$F$\\\",F,S); label(\\\"$G$\\\",G,NE); label(\\\"$H$\\\",H,S);\\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":[]}