{"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":"20ffabe2-7253-517d-954b-38b50dfaf1a5","task_key":"prealgebra--test--20ffabe2-7253-517d-954b-38b50dfaf1a5","task_revision_id":"1","upstream_id":"","short_description":"A circle of radius $2$ is inscribed in a semicircle, as shown. The area inside…","config":"prealgebra","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"A circle of radius $2$ is inscribed in a semicircle, as shown. The area inside the semicircle but outside the circle is shaded. What fraction of the semicircle's area is shaded?\\n\\n[asy]\\nunitsize(6mm);\\ndefaultpen(linewidth(.8pt)+fontsize(8pt));\\ndotfactor=4;\\n\\nfilldraw(Arc((0,0),4,0,180)--cycle,gray,black);\\nfilldraw(Circle((0,2),2),white,black);\\ndot((0,2));\\ndraw((0,2)--((0,2)+2*dir(60)));\\nlabel(\\\"$2$\\\",midpoint((0,2)--((0,2)+2*dir(60))),SE);\\n[/asy]\",\"type\":\"Prealgebra\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://github.com/hendrycks/math","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}