Wednesday 24 February 2010

PUZZLE #4 SECOND LEG (from the 24th of February to the 11th of March 2010)


INHUMAN SIMPLIFICATION


Simplify up to the maximum this big fraction in which both numbers (numerator and denominator), have 2010 digits:

121212...121212
212121...212121


SOLUTION 
We've received 7 correct solutions from:
Zsofia Zentai (Hungary)
Reka Vass (Hungary)
Kristynna Mandá ková ( Czech Republic)
Joan Josep Pla (Spain) 
Luisa Wiechert (Germany)
Julian Kaping (Germany).

Tobias Latta (Germany)


The correct solution from LUISA WIECHERT is:
Simplify up to the maximum: 
121212...121212
212121...212121
Solution:             If you reduce this fraction by 3, you get 4040…0404/7070…0707    (2009 digits).                  
             Then you can reduce it by 1010…0101     (2009 digits)
                               and you get 4/7.
                               So the solution is 4/7.

Monday 22 February 2010

GERMAN GROUP GOING TO LIPNÍK


The German group is looking forward to the visit in Lipník and hope for the end of the 'Ice Age' by then. From left to right:
Karina Westphal, Ksenia Weber, Daniel Niehaus, Henriette Frey, Christoph Deller, Antje Frels.
Not present in the photo due to illness: Corinna Gaus and Margharita Eismann.

Tuesday 16 February 2010

SECOND LEG OF EU COMPETITION #3

Hi everybody!
1.-Our first question today has to do with countries' mottos. Which are the ones of four of the five countries in our project (Czech Republic, Germany, Hungary, Spain, Switzerland)?
2.-The next question is about this year. ATCHOO!!!! Excuse me, it's so cold everywhere in Europe. I was saying that 2010 is  Eth Epunaore Raye fro Cambonigt Pyverto nad Cisalo Cluxinose. ATCHOO!! I am catching a cold. What a mess! Could you write the sentence correctly?
3.-If you liked the film 'AVATAR' you probably learnt some Na' vi, a language designed for the film by a linguist. Look at the following short text. Who "created" this other language (just for fun) and when?
'Qué would happen if, wenn Du open your computero, finde esta message? Habe your computero eine virus catched? Habe Du BSE gedeveloped? No, esse la neue europese lingua de Europanto'.
Best of luck! Send your answers to iescampanar09@gmail.com
SOLUTIONS:
1.-Czech Republic: "Truth prevails"
    Germany: "Unity and Justice and Freedom"
    Hungary: "Kingdom of Mary, Patron of Hungary"
    Spain: "Further Beyond"
    Switzerland: " One for all, all for one"
2.- 2010 is the European Year for Combating Poverty and Social Exclusion.
3.-Na'vi language was created by linguist Paul Frommer. Europanto was created by Diego Marani, journalist, author and translator for the European Council of Ministers in Brussels.
               Congratulations to Strang Zsanett from Ajka, Hungary!
Next set of questions will be posted on the blog on the 3rd of  March. Bye for now!

Wednesday 10 February 2010

SPANISH TEAM GOING TO LÍPNÍK

From left to right, Sara Bueno, Marta Ramos, Paloma Roig, Alejandro Gómez and Sara Olivares. As you can see in the photo they are all very happy to be able to visit Lipník nad Bečvou. 
Behind them their teachers Mercedes de Villegas, MªEugenia Baquero (IES Campanar Head Teacher) and Fernando Escuin, Coordinator of this Comenius project.

Monday 8 February 2010

PUZZLE #3 SECOND LEG

PUZZLE #3 (from the 9th to the 24th of February 2010)

A WICKED FRIEND

James asked Sharon what her telephone number was. Sharon, who is very fond of Mathematics, answered this:“It is the only 9-digit number whose digits are all different and different from zero and in which ANY two consecutive digits make a number which is divisible either by 7 or by 13.
 Well, what’s Sharon’s telephone number?

SOLUTION 
We've received 5 correct solutions from:
Zsofia Zentai (Hungary)
Reka Vass (Hungary)
Máté Fenyvesi (Hungary)
Kristynna Mandá ková ( Czech Republic)
Joan Josep Pla (Spain) 
Luisa Wiechert (Germany)
Julian Kaping (Germany).


Here, we plublish Zsofia Zentia's solution

At first, we need to find all those 2-digit numbers that are divisible by 7 or 13.
ð  Numbers that are divisible by 7:
o   14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91 and 98.
ð  Numbers that are divisible by 13:
o   13, 26, 39, 52, 65, 78 and 91.
After a little observation we find that:
ð  Neither of these numbers ends by 7à the telephone number may start with 78
ð  Only number 4 can follow number 8. à784
Two numbers can follow 4: number 2 or 9.
3rd number of the phone number
4th
5th
6th
7th
8th
9th
4
2
8

4
2
1
4

4
2
1
3
5
6
3
4
2
1
3
5
6
5
4
2
1
3
5
2

4
2
1
3
9
8

4
2
1
3
9
1

4
2
6
3
5
6

4
2
6
3
5
2

4
2
6
3
9
1
4
4
2
6
3
9
1
3
4
2
6
3
9
8

4
2
6
5
6

4
2
6
5
2

4
9
8

4
9
1
4

4
9
1
3
9

4
9
1
3
5
6
3
4
9
1
3
5
6
5
4
9
1
3
5
2
1
4
9
1
3
5
2
8
4
9
1
3
5
2
6
So Sharon’s phone number is: 784913526.