{"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":"fc82bcbc-4e36-5d42-936e-a7411852f1b2","task_key":"geometry--test--fc82bcbc-4e36-5d42-936e-a7411852f1b2","task_revision_id":"1","upstream_id":"","short_description":"In the diagram, $\\triangle ABC$ is right-angled at $C$. Also, points $M$, $N$…","config":"geometry","split":"test","body":"{\"level\":\"Level 2\",\"problem\":\"In the diagram, $\\\\triangle ABC$ is right-angled at $C$. Also, points $M$, $N$ and $P$ are the midpoints of sides $BC$, $AC$ and $AB$, respectively.  If the area of $\\\\triangle APN$ is $2\\\\mbox{ cm}^2$, then what is the area, in square centimeters, of $\\\\triangle ABC$? [asy]\\nsize(6cm);\\nimport olympiad;\\npair c = (0, 0); pair a = (0, 4); pair n = (0, 2); pair m = (4, 0); pair b = (8, 0); pair p = n + m;\\ndraw(a--b--c--cycle); draw(n--p--m);\\ndraw(rightanglemark(a,c,b));\\nlabel(\\\"$C$\\\", c, SW); label(\\\"$A$\\\", a, N); label(\\\"$N$\\\", n, W); label(\\\"$M$\\\", m, S); label(\\\"$B$\\\", b, E); label(\\\"$P$\\\", p, NE);\\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":[]}