{"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":"3243d5d0-23ed-5f74-9793-423d36b80c53","task_key":"geometry--test--3243d5d0-23ed-5f74-9793-423d36b80c53","task_revision_id":"1","upstream_id":"","short_description":"In the diagram below, $\\triangle ABC$ is isosceles and its area is 240. What is…","config":"geometry","split":"test","body":"{\"level\":\"Level 2\",\"problem\":\"In the diagram below, $\\\\triangle ABC$ is isosceles and its area is 240.  What is the $y$-coordinate of $A?$\\n\\n[asy]\\n\\nimport olympiad;\\n\\n// Draw and label axes\\n\\ndraw((0, -3)--(0, 30), Arrow);\\n\\ndraw((-3, 0)--(30, 0), Arrow);\\n\\nlabel(\\\"$y$\\\", (0, 30), N);\\n\\nlabel(\\\"$x$\\\", (30, 0), E);\\n\\n// Draw triangle\\n\\npair a = (10, 24); pair b = (0, 0); pair c = (20, 0);\\n\\ndraw(a--b--c--cycle);\\n\\ndot(a); dot(b); dot(c);\\n\\n// Label points\\n\\nlabel(\\\"$A$\\\", a, N);\\n\\nlabel(\\\"$B(0, 0)$\\\", b, NW);\\n\\nlabel(\\\"$C(20, 0)$\\\", c, S);\\n\\n// Tick marks\\n\\nadd(pathticks(a--b, s=45));\\n\\nadd(pathticks(a--c, s=45));\\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":[]}