{"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":"5836a068-387d-5b14-881b-9534c8f6c926","task_key":"geometry--test--5836a068-387d-5b14-881b-9534c8f6c926","task_revision_id":"1","upstream_id":"","short_description":"In the diagram shown here (which is not drawn to scale), suppose that $\\triangle…","config":"geometry","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"In the diagram shown here (which is not drawn to scale), suppose that $\\\\triangle ABC \\\\sim \\\\triangle PAQ$ and $\\\\triangle ABQ \\\\sim \\\\triangle QCP$.  If $m\\\\angle BAC = 70^\\\\circ$, then compute $m\\\\angle PQC$. [asy]\\nsize(150); defaultpen(linewidth(0.8));\\npair B = (0,0), C = (6,0), A = (2,4), Q = (1,0), P = (A + C)/2;\\ndraw(A--B--C--A--Q--P);\\nlabel(\\\"$B$\\\",B,S); label(\\\"$A$\\\",A,N); label(\\\"$C$\\\",C,S); label(\\\"$P$\\\",P,E); label(\\\"$Q$\\\",Q,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":[]}