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 20nd of December 2018.

German version - Italian version - French version - Spanish version

Series 50

problem 589

Logic puzzle

Last week Mike spent some time at the railway station. (Monday, Tiesday, Wednesday, Thursday and Friday). Each day on traibn was late (11, 18, 25, 32 oder 38 minutes). These trains arrived at different platforms (3, 4, 5, 6, 8) and from different cities (Freiburg, Munich, Cologne, Hamburg or Berlin).
Mikes notes were not complete but he eventually managed to match day – delay – platform and place for eacht train.
1. The train that arrived at platform 6 was 25 min late but had not departed from Berlin.
2. On Tuesday the train coming from Munich was late.
3. The train arriving at platform 8 came from Freiburg.
4. The train arriving at platform 4 was delayed 7 minutes more than the one arriving late on Friday.
5. The Wednesday train was 11 minutes late.
6. The train from Cologne was 18 minutes late but not on Thursday. Thursday’s train arrived at platform 3.
6 blue points.
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Mike had spent a week at the station because there was a jumble book sale as part of a “Book Week”. The book dealers (Albert, Clara, Emma, Lotte and Sammy) were present on one day only (Monday, …, Friday).
Each day Mike found a book – about Pythagoras, Thales, Euclid, Archimedes and Aristarch. Mike thought that the prices were reasonable (3,50 €, 4 €, 4,50 €, 5 €, 5,50 €).
1. The book he bought on Thursday was the most expensive.
2. The book dealer Albert set up his stall on Tuesday. His book was more expensive than the one about Thales.
3. The book sold by Clara was not the cheapest.
4. Tghe book about Aristarch was bought on Monday.
5. The book dealer named Emma wanted 5€ for her book.
6. The book about Euclid was just 3,50€ but it wasn’t bought on Wednesday.
7. Mike bought the book about Pythagoras at Lotte’s stall.

When did Mike buy which book at which price and from whom? 6 red points

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

Links:

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

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