This week's maths problem

Problem of the week

exercice de maths de la semaine, math problem of the week, problema di matematica della settimana, सप्ताह के गणित समस्या, математическую задачу недели, Ejercicio de matemáticas semanal, 今週の数学問題, בעיה מתמטית של השבוע, مشكلة الرياضيات الأسبوع, 这个周的数学问题, Haftanın matematik problemi, temporäre Problem vun der Woch, μαθηματικό πρόβλημα της εβδομάδας, math tatizo la wiki,

On Friday of each week we will post a new maths challenge.
You may submit your solution by the following Thursday.
Each problem contains two different levels of difficulty. You will be awarded from 2 to 12 points for a full answer.
Each series contains 12 problems before the stage winner is determined.
Your score will be published here.

In each series we will give away 3 books as prices. The prices will be drawn by lot among the best ten participants of the series. The books are kindly sponsored by Buchdienst Rattei of Chemnitz.

Suggestions for problems are welcome.

Deadline is 5th of September 2019.

German version - Italian version - French version - Spanish version  Hungarian Version


Series 51

problem 612

Summer break

„I simply like Albrecht Dürer‘s character fonts a lot. That‘s why I designed another two“, Maria said to her brother.
„Letter O looks easy, but I wonder how to construct letter E“, Bernd is thinking.
duerer c farblos
(In order to avoid thin, pointed lines Dürer used some freehand lines.)

Duerer c

Letter O: As with all of Dürer‘s letters we start using square ABCD, edge length a. The draw a diagonale from A to C and halve it. Draw a circle around centre M of a/10 in diameter. The circle intersects the diagonal in E and F. The blue circle around E is tangent to the right side and the top side of the square. The blue circle around F is tangent to the left and the lower side of the square. What is the circumference of the letter „O“, inside and outside together, given that a = 10 cm? - 6 blue points

Likewise, the construction of the red E starts with square ABCD, side length a.

The circles around E and F each have a radius of a/7. The upper, small circle has a radius of a/14. The center of this circle is on EL (EL || CD). The width of the vertical bar of the E is a/10. What is the length of the arc ZZ1. The centre of this arc is PM which is part of the perpendicular bisector of line segment ZZ1. Let side length a be 10 cm.
AZ = 22/30a. - 8 red points.

duerer e

Additional note: WU=UV=a/10. The small circles (center and bottom) have a redius of a/12.

Solving the picture-puzzle will get you two extra blue points, provided you also got points doing the regular maths problem. The rule for each picture puzzle is: Each icon represents one digit, same icons, same digits, different icons, different digits.  ©HRGauern[at]

612 duerer

Send your solutions to Diese E-Mail-Adresse ist vor Spambots geschützt! Zur Anzeige muss JavaScript eingeschaltet sein!, if your answer contains attachments.

For text versions you can also use this form

--> here <--

Please give your full name so your points can be added to the score. If you would like to receive our weekly maths problem automatically you can

--> subscribe to our newsletter <-- .

Presently this newsletter is received by more than 1900 subscibers.

You can also send a paper copy of your solution as long as it is postmarked on or before the deadline.
Thomas Jahre
Stollberger Strasse 25
09119 Chemnitz


post address:

Thomas Jahre
Chemnitzer Schulmodell
Stollberger Straße 25
09119 Chemnitz
QR-Code for this site


0 #4 Jerry 2018-05-09 20:16
I'm gone to inform my little brother, that he should also go to
see this weblog on regular basis to obtain updated from
most up-to-date reports.
0 #3 unblocked games 2017-09-25 06:37
It is not my first time to pay a visit this web page, i am browsing this website dailly and
obtain good information from here every day.
0 #2 Quentin 2017-08-20 14:31
Hey Mike, got a question for you concerning my
+3 #1 Cora 2014-11-13 23:03
Hi therde to all, the contents existing at this site are truly remarkable for people knowledge, well, keep up the
nice woek fellows.

Kommentar schreiben