This week's maths problem

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Problem of the week

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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 2nd of April 2020.

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

Series 53

problem 636

„This construction of a letter by Albrecht Dürer I can use twice.“, said Maria. „How that?“, asked her brother Bernd. „At the time Dürer lived, the letter was used as V and as U.“
The construction instruction: ABCD is a square with a length a, in that case 10 cm. G is the center of AB. The large circles have a radius a/7, the small circles have a radius a/15. DE=CF=a/10. You have to connect G with E and E with F. The left arm is a/10 wide, the right arm a/30.
The calculation:
How big is the area AGED - 2 blue points. How big is the distance PR - 4 blue points. How big are area and perimeter of the red V? – 8 red points. You have to keep in mind that the red circles must have a minimum distance to the lines EG respectively EF. The left bent lined bordered area should be bordered by a line WV (perpendicular to EG). WV is a radius extension of the big circle. On the right side it is exactly the same.

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]@t-online.de

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adress:
Thomas Jahre
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09119 Chemnitz
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