{"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":"cadd3b1b-961a-5b5d-87c4-ea2c99057c2b","task_key":"geometry--test--cadd3b1b-961a-5b5d-87c4-ea2c99057c2b","task_revision_id":"1","upstream_id":"","short_description":"In regular pentagon $PQRST$, $X$ is the midpoint of segment $ST$. What is the…","config":"geometry","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"In regular pentagon $PQRST$, $X$ is the midpoint of segment $ST$. What is the measure of angle $XQS,$ in degrees?\\n\\n[asy]\\nsize(101);\\npicture p;\\npair P = (0,0); pair Q = (-cos(108),sin(108)); pair R = Q + expi(36*pi/180); pair T = (1,0); pair S1 = T + (cos(108),sin(108));\\ndraw(p,(P--Q--R--S1--T--cycle),linewidth(1)); pair X = (S1+T)/2;\\nlabel(p,rotate(20)*\\\"$P$\\\",P,rotate(20)*W,fontsize(10pt)); label(p,rotate(20)*\\\"$Q$\\\",Q,rotate(20)*NW,fontsize(10pt)); label(p,rotate(20)*\\\"$R$\\\",R,S,fontsize(10pt)); label(p,rotate(20)*\\\"$S$\\\",S1,rotate(20)*E,fontsize(10pt)); label(p,rotate(20)*\\\"$T$\\\",T,rotate(20)*N,fontsize(10pt));label(p,rotate(20)*\\\"$X$\\\",X,rotate(-40)*NE,fontsize(10pt));\\ndot(p,X);\\nadd(rotate(-20)*p);\\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":[]}