{"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":"88ce129d-b430-57f5-af8b-0034b53bbd9e","task_key":"geometry--test--88ce129d-b430-57f5-af8b-0034b53bbd9e","task_revision_id":"1","upstream_id":"","short_description":"The vertices of a convex pentagon are $(-1, -1), (-3, 4), (1, 7), (6, 5)$ and…","config":"geometry","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"The vertices of a convex pentagon are $(-1, -1), (-3, 4), (1, 7), (6, 5)$ and $(3, -1)$. What is the area of the pentagon? [asy]\\nimport graph; size(150); real lsf=0.5; pen dps=linewidth(0.7)+fontsize(10); defaultpen(dps); pen ds=black; real xmin=-4.5,xmax=7.5,ymin=-2.5,ymax=8.5;\\n\\npen zzzzzz=rgb(0.6,0.6,0.6);\\n\\n/*grid*/ pen gs=linewidth(0.7)+zzzzzz; real gx=1,gy=1;\\nfor(real i=ceil(xmin/gx)*gx;i<=floor(xmax/gx)*gx;i+=gx) draw((i,ymin)--(i,ymax),gs); for(real i=ceil(ymin/gy)*gy;i<=floor(ymax/gy)*gy;i+=gy) draw((xmin,i)--(xmax,i),gs);\\n\\nLabel laxis; laxis.p=fontsize(10); string blank(real x){return \\\"\\\";}\\n\\nxaxis(xmin,xmax,defaultpen+zzzzzz+linewidth(1.2),above=true); yaxis(ymin,ymax,defaultpen+zzzzzz+linewidth(1.2),above=true); draw((-1,-1)--(3,-1)); draw((3,-1)--(6,5)); draw((1,7)--(6,5)); draw((-1,-1)--(-3,4)); draw((-3,4)--(1,7));\\n\\ndot((-1,-1),ds); dot((-3,4),ds); dot((6,5),ds); dot((3,-1),ds); dot((1,7),ds);\\n\\nclip((xmin,ymin)--(xmin,ymax)--(xmax,ymax)--(xmax,ymin)--cycle);\\n\\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":[]}