{"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":"bcacf55b-871d-5c4d-bd4c-2807d8a53655","task_key":"geometry--test--bcacf55b-871d-5c4d-bd4c-2807d8a53655","task_revision_id":"1","upstream_id":"","short_description":"In the diagram, four squares of side length 2 are placed in the corners of a…","config":"geometry","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"In the diagram, four squares of side length 2 are placed in the corners of a square of side length 6.  Each of the points $W$, $X$, $Y$, and $Z$ is a vertex of one of the small squares.  Square $ABCD$ can be constructed with sides passing through $W$, $X$, $Y$, and $Z$. What is the maximum possible distance from $A$ to $P$? [asy]\\npath square = scale(2) * unitsquare;\\n\\ndraw(square); draw(shift(4) * square); draw(shift(4, 4) * square); draw(shift(0, 4) * square);\\ndraw((2, 0)--(4, 0)); draw((0, 2)--(0, 4)); draw((6, 2)--(6, 4)); draw((2, 6)--(4, 6));\\n\\npair a = shift(3, 4) * dir(135);\\npair b = shift(4, 3) * dir(45);\\npair c = shift(3, 2) * dir(-45);\\npair d = shift(2, 3) * dir(-135);\\ndraw(a--b--c--d--cycle);\\n\\nlabel(\\\"$2$\\\", (1, 6), N); label(\\\"$2$\\\", (3, 6), N); label(\\\"$2$\\\", (5, 6), N);\\n\\nlabel(\\\"$2$\\\", (6, 5), E); label(\\\"$2$\\\", (6, 3), E); label(\\\"$2$\\\", (6, 1), E);\\n\\nlabel(\\\"$W$\\\", (2, 4), NW); label(\\\"$X$\\\", (4, 4), NE); label(\\\"$Y$\\\", (4, 2), SE); label(\\\"$Z$\\\", (2, 2), SW);\\nlabel(\\\"$A$\\\", a, N); label(\\\"$B$\\\", b, E); label(\\\"$C$\\\", c, S); label(\\\"$D$\\\", d, W); label(\\\"$P$\\\", (6, 0), SE);\\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":[]}