{"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":"46cfaa83-6bae-5782-835e-f9502bf46345","task_key":"intermediate~5falgebra--test--46cfaa83-6bae-5782-835e-f9502bf46345","task_revision_id":"1","upstream_id":"","short_description":"A regular hexagon of side length 1 is placed vertically along one of its edges…","config":"intermediate_algebra","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"A regular hexagon of side length 1 is placed vertically along one of its edges on a flat surface.  A particle is fired from the surface and passes through four of the vertices of the hexagon, as shown below, tracing the arc of a parabola.  If the particle starts at $A$ and ends at $B,$ then find the length $AB.$\\n\\n[asy]\\nunitsize(1.5 cm);\\n\\nreal func (real x) {\\n  return(-2/sqrt(3)*x^2 + 7/(2*sqrt(3)));\\n}\\n\\npair A, B;\\n\\nA = (-sqrt(7)/2,0);\\nB = (sqrt(7)/2,0);\\n\\ndraw(shift((0,sqrt(3)/2))*(dir(240)--dir(180)--dir(120)--dir(60)--dir(0)--dir(-60)));\\ndraw((-2,0)--(2,0));\\ndraw(graph(func,-sqrt(7)/2,sqrt(7)/2),red);\\n\\nlabel(\\\"$A$\\\", A, S);\\nlabel(\\\"$B$\\\", B, S);\\n[/asy]\",\"type\":\"Intermediate Algebra\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://github.com/hendrycks/math","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}