Friday 29 October 2010

EU COMPETITION (First leg of Second Year)

E.U. Competition # 2 (First Leg of Second Year) Hi everybody!! Thanks for your answers. We are keeping a list of all the students who answered the questions alright and we will also send a reader to the fastest student who submitted them!!! Here we are again with three more questions about Europe for you to find out before the 15th of November. Send your answers please to iescampanar10@gmail.com
1.-You have probably heard the tragic news about the Merapi volcano erupting in Indonesia. Now, do you remember the name of another volcano, in Europe, whose ashes caused air-traffic havoc last April? Where is it?
2.-Which countries in Europe have the word ‘land’ in their names in English? (Example: Switzerland)
3.-And now, because the first two questions were both easy and short a bit of TRIVIA:
a) Who painted ‘The Water Lily Pond’ in 1899?
b) When DST ends, all clocks will retreat from 03.00 to 02.00 . But, what does DST stand for and for how long have we been putting it into practice in Europe?
c) Which drink did Bach enjoy so much that he wrote a cantata for it?
d) I am sure it is played in your country too. Which is the odd one out: queen, king, pawn, bishop, cardinal, castle?
e)What links Sartre, Nietzsche, Descartes and Russell?
Well, the solution and new questions in a fortnight’s time! And Happy Halloween!! "!☻☺ "!☻☺"!☻☺
SOLUTION
1)Eyjafjallajökull In Iceland
2) Ireland, Finland,  Iceland, Poland, Switzerland, the Netherlands, Scotland, England (and Greenland).
3) 

a)Claude Monet
b)DST stands for Daylight Saving Time. We have been using it since 1966 in most European countries clocks 

(or just the opposite) respectively in the last weekends of March and October.
c) coffee
d)cardinal (all the others can be found on a chess board)
e) They are philosophers.

Monday 25 October 2010

CZECH TEAM GOING TO LÜNEBURG

Greetings from Gymnázium Lipník nad Bečvou. Here you have the six students (behind and from the left   Lenka Fišbachová, Gabriela Dvorská, Hanka Kubíková, Gabriela Sobková, Kristýna Richterová and Kristýna Mandáková). 
In front of them their two teachers Soňa Svobodová and Ondra Geppert. We are all looking forward to the project meeting in Lüneburg.

Sunday 24 October 2010

MATHS PUZZLE #4 -First Leg, Second Year-

(from the 25th October to the 2nd November)

ELECTIONS

In a particular country´s latest elections, in which there were 3,456,000 votes and 4 candidates, the winner defeated the other three opponents by 134,890, 64,500 and 15,490 votes respectively.
However, none of them managed to know the exact number of votes that each one received.
How could we get this information? 
You can send the solution to FernandoEscuin@iescampanar.com

SOLUTION

The numbers of votes are: x, y, z and t. Where x  is the votes of the winner.
We have:
x + y +z + t = 3.456.000
x= 134. 890 + y
x = 64500 + z
x = 15.490 + t
Summing the last three equalities:
3x = 214.880 + y + z + t
Now, summing x to the two sides:
4x = 214.880 + x + y + z + t
4x = 214.880 + 3.456.000
4x = 3.670. 880
x= 3.670.880/4
x= 917.720 votes
y = 782.830 votes
z = 853.220 votes
t = 902.230 votes

Friday 22 October 2010

HUNGARIAN TEAM GOING TO LÜNEBURG


Eva Nagy wrote: This is the photo of our Lüneburg team. From the left to the right:
Sitting: Réka Vass, Krisztina Ruppl, Fanni Kustos, Dóra Felső (students)
Standing: Berta Haász (deputy headteacher), Adrienn Szabó-Németh (teacher), Máté Fenyvesi, Roland Gróf (students).
Looking forward to the project meeting in Lüneburg!!

Monday 18 October 2010

MATHS PUZZLE # 3 FIRST LEG

MATHS PUZZLE # 3 FIRST LEG --Second Year of Project--
(from the 18th to the 25th of October)

In how many ways can you write 111 as a sum of three whole numbers (integers) which are in geometric progression?

Remember that geometric progression is a series of numbers in which each number is multiplied by a fixed amount (called ratio) in order to get the next number: for example: 1, 5, 25, 125.

You can send the solution to FernandoEscuin@iescampanar.com



SOLUTION

The sum is like this:

 a + ar +ar2  =  a(1 + r + r2) = 111

The factorial decomposition of 111 is:
111 = 1x3x37
We have the following possibilities:
a = 1
1 + r + r2 = 111
 r2 + r – 110 = 0. The values of r are: 10, -11
With solutions: 1, 10, 100   and  1, -11, 121
a = 3
1 + r + r2 = 37
r2 + r – 36 = 0, this equation doesn’t have integer solution.
a = 37
1 + r + r2 = 33
r2 + r – 2 = 0, with roots r=-2, 1
Now, we have new solutions: 37, -74, 148 and 37, 37, 37

Sunday 17 October 2010

MEETING IN LÜNEBURG

The Spanish party members travelling to the Gymnasium Oedeme in Lüneburg have posed today for a photo to post on the project blog. From left to right Reyes Durá (teacher), Helena Estrela, Marta Contreras, Pedro Asensi, Fernando Escuin (teacher), Cristina Marz, Mercedes de Villegas (teacher) and Dídac Bosch.
Looking forward to seeing everybody there, we say:  BIS BALD!'
 We promised a prize before the Summer holidays for the best Scrap Books (sort of album with photos, realia, diary entries, tickets...) on the trips to Ajka and to Lipník. Here you have the photo of the happy winners in Valencia : Paloma Reig (left) and Sara Olivares (right), who prepared a superb one on Lipník nad Bečvou. Congratulations! (The photo of the Hungarian students who got the prize will be posted soon).

Thursday 14 October 2010

EU COMPETITION (First leg of Second Year)

E.U. Competition # 1 (First Leg of Second Year)
Hi everybody!! Here we are again with three easy questions about the EU and Europe for you to answer before the 30th of October. Send your answers to iescampanar10@gmail.com
1.-You probably know by now that there are five schools from five different countries working together in our Comenius Project. Can you tell me the name of those 5 countries NOT in English but each of them in its own language?
2. Because it plays an important role in sectors as varied and diverse as education, youth, culture, sport, environment, health, social care, consumer protection, humanitarian aid, development policy, research, equal opportunities and external relations, 2011 is going to be designated  ETH UONEPEAR AYER FO LUNGTOERIVEN. Oooops! Can you unscramble that?
3.-Fill in the blanks in the sentences below and also say which awards we are speaking about.
The 1984 for Literature went to …………..
The 2007 for Chemistry went to Germany.
The …… for Medicine went to Spain.
The 1994 for Chemistry went to .............
The 1999 for ………… went to Switzerland
And that’s all for today! The solution and new questions in two weeks’ time!
SOLUTION:
EU COMPETITION
Question 3:
The 1984 for Literature went to Czech Republic.
The 2007 for Chemistry went to Germany.
The 1906 and 1959 for Medicine went to Spain.
The 1994 for Chemistry went to Hungary.
The 1999 for Chemistry went to Switzerland.
Nobel Prize.
Question 2: The European Year of Volunteering
Question 1: Magyarország, Deutschland, Schweiz/Suisse/Svizzera/Svizra, Česká republika, España.
HUEVOS+2222.jpg (88×88)

Sunday 10 October 2010

MATHS PUZZLE # 2 First Leg of Second Year

MATHS PUZZLE # 2 FIRST LEG --Second Year of the Project-- (from the 11th to the17th of October 2010  -submitted by the 18th)

 A ROAD HOG
 A reckless driver was driving his vehicle and speaking on his mobile phone at the same time. That’s why he caused an accident. The guy fled but the three passengers travelling in the car he had the crash in managed to see part of the reckless driver’s car number plate. 
Eduard, the one who was driving, remembered that the first two digits of the guy’s number plate were the same number. Sergi, who was sitting next to the driver, remembered that the last two digits were also the same number. Behind them in the car was Carla, a young girl who was mad keen on Mathematics. She said that the guy’s number plate had four digits and that it was a perfect square.
Find out the risky driver’s number plate.
You can send the answers to FernandoEscuin@iescampanar.com

SOLUTION
A possible solution is:

The numbers which once squared are a 4-digit figure can only be those between 32 and 99.
On the other hand just because of the divisibility rules, these squared numbers are multiple of 11 since the odd digits sum as much as the even ones. Possible numbers are: 
33² = 1089
44² = 1936
55² = 3025
66² = 4356
77² = 5929
88² = 7744
99² = 9801
The only solution then is 7744 (The first two digits are the same and also the last two)


Sunday 3 October 2010

MATHS PUZZLE # 1 (Second Year of Project)



A man says:
‘My father was born in 1930 and he is a year older than my mother. On their wedding day they both were older than 20 and they got married a year of which the sum of its digits is 18.
As for me, I was born some years later and the sum of the digits of that year also equals 18.
And guess what? Another coincidence: the sum of the digits of the year in which I turned 18  is also 18.
Can you tell me how old I will be in 2018?'
-----------------------------------------
You can send the answers to FernandoEscuin@iescampanar.com


SOLUTION


Since his father was born in 1930, his mother in 1931 and both of them were older than 20, the year they got married must be a year after 1951.
Now the possible years of which the sum of the digits equals 18 can be   1953,  1962,  1971 and 1980.
When this man turned 18, the digits of that year also summed 18 so the only possible answer is 1962 because 1962+18=1980 (a year of which the sum of the digits also makes 18). Thus, his parents got married in 1953, he was born in 1962,he turned 18 in the year 1980 and, finally, in the year 2018 he will be 56.(2018-1980=38, so  38+18=56)