{"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":"1a47399f-3522-5fa4-ad5f-9dac18bb723b","task_key":"geometry--test--1a47399f-3522-5fa4-ad5f-9dac18bb723b","task_revision_id":"1","upstream_id":"","short_description":"Two $4\\times 4$ squares intersect at right angles, bisecting their intersecting…","config":"geometry","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"Two $4\\\\times 4$ squares intersect at right angles, bisecting their intersecting sides, as shown. The circle's diameter is the segment between the two points of intersection. What is the area of the shaded region created by removing the circle from the squares? [asy]\\n/* AMC8 2004 #25 Problem */\\npath square=((0,0)--(4,0)--(4,4)--(0,4)--cycle);\\nfilldraw(shift(-sqrt(8)/2.0)*rotate(45)*square, lightgrey, black);\\nfilldraw(shift(sqrt(8)/2,0)*rotate(45)*square, lightgrey, black);\\nfilldraw(circle((0,sqrt(8)), sqrt(8)/2), white, black);\\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":[]}