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Wikipedia:Reference desk/Archives/Mathematics/2022 November 19

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November 19

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Collection of questions for the high school diploma in math, Germany (or DACH).

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Is there a complete (or near complete) collection of "Abiturprüfungsaufgaben" (high school diploma problems or tasks) regarding Germany or DACH (Germany, Austria, Switzerland) online ? Since the tests are made by the Federal states, I was presuming they are in the public domain. — Preceding unsigned comment added by 77.11.157.136 (talk) 20:16, 19 November 2022 (UTC)[reply]

The best I can find is: https://www.abiturloesung.de/ .
Of course if someone knows similar collection from other states, it would be great to know as well. Pier4r (talk) 20:16, 19 November 2022 (UTC)[reply]
Just to clear for those don't read German better than I do (not a high bar), the link is a list of past exam questions from the German states of Bavaria and Hesse. There are solutions given for the ones previous to a few years ago, and there are even video lectures on some. There are 16 German states altogether, so, by my calculations, that leaves 14 states to go. There's also Austria, Switzerland, and, though it's not included in DACH, Liechtenstein. (At least I assume they would give the tests in German in Liechtenstein; for just a small country Liechtenstein is linguistically complex.
I noticed there were sections on calculus (Infinitesimalrechnung), probability (Stochastik) and analytic geometry, so I wonder how a US high school student with fare with these questions, assuming they were translated. Some of the notation is unfamiliar to me as well, for example one of sections starts "Gegeben ist die Kugel K mit Mittelpunkt M (3| − 6|5) und Radius 2√6." I render this "Given: A sphere K with center (3| − 6|5) and radius 2√6." Does (3| − 6|5) mean in (3, −6, 5) in US notation? --RDBury (talk) 03:16, 20 November 2022 (UTC)[reply]
I've only found this notation used in connection with the German high-school curriculum for analytical geometry. Note that the notation simultaneously introduces the name for a point and specifies its coordinates.  --Lambiam 05:18, 20 November 2022 (UTC)[reply]
This site might help some students: https://freeexampapers.com/ Dolphin (t) 07:30, 20 November 2022 (UTC)[reply]