## 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 15th.**

**of June 2023.**

German version - Italian version - French version - Spanish version Hungarian Version Russian version --> 中文/Chinese <-- --> Ελληνικά <--

**Series 63**

## problem 753

"Look at my drawing," Maria said. "I first constructed the regular hexagon ABCDEF. Then the red square and finally the other two squares." "It looks good," Lisa said.

The radius of the circle is 4 cm.

What percentage of the hexagon area is covered by the red square? 5 blue points.

What is the area of the triangle PNM? 8 red points for the calculation. (If you only use one construction, you can still get 3 points instead of the 8).

**Deadline for solution is the 15th. June 2023. **

** **

## -> Enigma <--

https://www.schulmodell.eu/images/stories/mathe/horst/raetsel.php

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adress:

Thomas Jahre

Stollberger Strasse 25

09119 Chemnitz

Germany

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post address: Thomas Jahre Chemnitzer Schulmodell Stollberger Straße 25 09119 Chemnitz Deutschland/Germany |
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