{"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":"695b64f3-2247-5373-b60a-09c8a92f4c7a","task_key":"geometry--test--695b64f3-2247-5373-b60a-09c8a92f4c7a","task_revision_id":"1","upstream_id":"","short_description":"In the figure, square $WXYZ$ has a diagonal of 12 units. Point $A$ is a midpoint…","config":"geometry","split":"test","body":"{\"level\":\"Level 3\",\"problem\":\"In the figure, square $WXYZ$ has a diagonal of 12 units. Point $A$ is a midpoint of segment $WX$, segment $AB$ is perpendicular to segment $AC$ and $AB = AC.$ What is the length of segment $BC$? [asy]\\nimport olympiad; size(150); defaultpen(linewidth(0.8));\\n\\ndraw(unitsquare);\\ndraw((2,0)--(0.5,0)--(0.5,1.5)--cycle);\\nlabel(\\\"$W$\\\",(0,0),W); label(\\\"$X$\\\",(1,0),S); label(\\\"$Y$\\\",(1,1),E); label(\\\"$Z$\\\",(0,1),W);\\nlabel(\\\"$A$\\\",(0.5,0),S); label(\\\"$B$\\\",(2,0),E); label(\\\"$C$\\\",(0.5,1.5),N);\\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":[]}