{"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":"4412b099-1d6a-5b2e-88d3-094c036653d6","task_key":"precalculus--test--4412b099-1d6a-5b2e-88d3-094c036653d6","task_revision_id":"1","upstream_id":"","short_description":"The midpoint of three edges of a cube are connected, as shown below. Find…","config":"precalculus","split":"test","body":"{\"level\":\"Level 3\",\"problem\":\"The midpoint of three edges of a cube are connected, as shown below.  Find $\\\\angle XYZ,$ in degrees\\n\\n[asy]\\nunitsize(1.2 cm);\\n\\npair A, B, C, D, T, X, Y, Z;\\npair x, y, z;\\n\\nx = (2,-0.2);\\ny = (1.2,0.8);\\nz = (0,2);\\n\\nX = (0,0);\\nY = x;\\nT = y;\\nA = z;\\nZ = x + y;\\nB = x + z;\\nD = y + z;\\nC = x + y + z;\\n\\ndraw((C + D)/2--(B + C)/2--(B + Y)/2,red);\\ndraw(X--Y--Z--C--D--A--cycle);\\ndraw(B--A);\\ndraw(B--C);\\ndraw(B--Y);\\ndraw(T--X,dashed);\\ndraw(T--D,dashed);\\ndraw(T--Z,dashed);\\n\\nlabel(\\\"$X$\\\", (C + D)/2, N);\\nlabel(\\\"$Y$\\\", (B + C)/2, SE);\\nlabel(\\\"$Z$\\\", (B + Y)/2, W);\\n[/asy]\",\"type\":\"Precalculus\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://github.com/hendrycks/math","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}