{"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":"cd2b92b9-a335-5d9c-a81f-06d1943fa2c6","task_key":"geometry--test--cd2b92b9-a335-5d9c-a81f-06d1943fa2c6","task_revision_id":"1","upstream_id":"","short_description":"In right triangle $ABC$, $M$ and $N$ are midpoints of legs $\\overline{AB}$ and…","config":"geometry","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"In right triangle $ABC$, $M$ and $N$ are midpoints of legs $\\\\overline{AB}$ and $\\\\overline{BC}$, respectively. Leg $\\\\overline{AB}$ is 6 units long, and leg $\\\\overline{BC}$ is 8 units long. How many square units are in the area of $\\\\triangle APC$? [asy]\\ndraw((0,0)--(8,0)--(0,6)--cycle);\\ndraw((4,0)--(0,6));\\ndraw((0,3)--(8,0));\\nlabel(\\\"$A$\\\",(0,6),NW); label(\\\"$B$\\\",(0,0),SW); label(\\\"$C$\\\",(8,0),SE); label(\\\"$M$\\\",(0,3),W); label(\\\"$N$\\\",(4,0),S); label(\\\"$P$\\\",(8/3,2),SW);\\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":[]}