WINNERS FOR THE MATHS PUZZLES 2nd YEAR 2nd LEG

We have the winners for the Maths puzzle Competition, second year, second leg:

Radoslav Hanel (Czech Republic)
Swanje Mahncke (Germany)
Szénia Hajós / Daniel Kapocsi (Hungary)
Kevin Montalvà / Mikha Semenov (Spain)

CONGRATULATIONS!!
Each one will receive a certificate and some of them a trophy, donated by CAM. 

EUROPEAN UNION COMPETITION (Second Leg)

WE HAVE A WINNER FOR THE EU COMPETITION THIS YEAR: 
1.-Major Lili (Hungary) Congratulations!!!! 
As for the runner-up and third position, these are the two students who will be awarded a prize too:
2.-Teresa Martínez (Spain)
3.-Sheila Moril (Spain)
There is a reader, compliment of MacMillan Publishers in Valencia and a Certificate for each of these students as well as for the finalists of the first leg:
Soha Dániel (HU), Lenka Fišbachová (CZ), Krystina Mandaková (CZ), Simon Szabina (HU), Süle Olivér (HU).

LITERARY CONTEST 2011

     LITERARY CONTEST   
“COMMON DENOMINATOR?”    or

“WE ARE THE WORLD, WE ARE THE FUTURE”

ă    β   π    ҫ    ñ   @   ő

 “The S.I. Engine” Comenius Project.    March 2011

SCHOOLS TAKING PART IN IT:
*Gymnasium Oedeme. LÜNEBURG (Germany)
*Gymnázium LIPNÍK NAD BEČVOU (Czech Republic)
*Bródy Imre Gimnázium.  AJKA (Hungary)

*Collège Sismondi. GENEVA (Switzerland)
*IES Campanar. VALÈNCIA (Spain)

 Literary Contest 2011. List of finalists  in each country   –Comenius Project –

Germany

Alexandra Kalbus, Meike Claaßen, Annika Beusch, Nikola Henningsen, Moritz Werner, Christoph Lang, Nils Kröger, Nils Hölzer, Melissa Schülz, Peter Schacht.

Hungary

Abel Futo, Anita Horvath, Balasz Nemeth, Daniel Sohá, Gábor Molnár, Krisztina Szeip, Marton Makkay, Oliver Süle, Roland Ament,  Szabina Simon.

Switzerland

Ludovic Piccot, Matthieu Fragnière, Seda Enhas, Sofia Hofman, Jazmin Viray, Simon Berthoud, Ai Yamashita, Tiffany Decorvet, Kerly M. Acosta, Pedro Alves/Jessica Grajera.

Czech Republic

Jiří Chovanec, Kieu Nguy, Monika Boháčová, Gabriela Sobková.

Spain

Sara Bueno, Eva Romero, Aína Bernad, Alberto Sáez, Paloma Roig, Sara Olivares, Andrea Pérez, Carolina Gregori,  Borja Sanz, Leonor Palmero. 
it has been really hard to choose the winners. There were very good pieces of writing written by the students in the 5 schools. We had poems, letters, tales, short stories, diary entries and essays. The name of the ten winners below will receive a certificate. Most of the writings by these or the other finalists are already being exhibited in the hall of the school for the students, teachers and parents to read and enjoy.
Thank you to everybody for your effort and collaboration.
And the awards go to………… LIST OF WINNERS 
-For the overall aesthetical effect>>> Sofia Hofman (Geneva)
-For the artful treatment of subject matter>>>Melissa Schulz (Lüneburg)
-For the writing organization and logic>>>Olivér Süle (Ajka)
-For the quality of insight>>>Kieu Nguyen (Lipník)
-For a beautiful short story>>>Andrea Pérez (València)
-For a very well-written article>>>Nikola Henningsen (Lüneburg)
-For the overall emotional effect>>>Jazmin Viray (Geneva) 
-For being well strutured and organized>>>Roland Ament (Ajka)
-For its sense of humour>>> Jiří Chovanec (Lipník)
-For an excellent essay>>> Carolina Gregori
The 10 students will receive a small gift , a reader, compliment of MacMillan Publishers in Valencia and a Certificate. CONGRATULATIONS TO ALL OF THEM!!!! 

EUROPEAN COMPETITION (Second Leg)

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Well, this IS the last set of questions, I'm afraid.  There will be 5 in the first part and 10 in the second part (TRIVIA) of which you are required to answer 5 too. Easy? Okey dokey!
1.-EUROPE 
a) You probably know the Danube but can you name the second main river in Hungary?
b) There is a Conference for Sustainable Action from the 1st to the 3rd of March 2011 and its Logo is a cow.                    Which German University is it?
c) This Czech city was once the Royal brewery of the Holy Roman Emperor .
d) Pedestrian streets, an Olympic Museum, on the shores of a Swiss lake. Where am I?
e) The film "Mission:Impossible II " made Spaniards laugh a lot. They mixed up three different Spanish festivals in the streets of Seville: The Holy Week processions, San Fermín and Fallas. The processions are typical from Seville but where in Spain are the other two festivals celebrated?
2.-TRIVIA
a) What is the chemical symbol for iron?
b) Who "lived" at 221b Baker Street?
c) Which famous philosopher was buried at Waterloo Place in Edinburgh?
d)Who commanded the Nautilus in Jules Verne's classic?
e)Who turned a can of soup into a work of art?
f)What is the shortest word in English to contain A,B,C,D,E and F?
g)Which is the only city in the world to lie on two continents?
h)Who wrote the Canterbury Tales?
i) Which country do the Azores isles belong to?
j) Where can you find these people "together": Jim Morrison, Maria Callas, Honoré de Balzac, Molière, Corot, Pissarro, Modigliani, Marcel Proust, Oscar Wilde, Frédéric Chopin among other celebrities?
Send me your answers ASAP!!!! iescampanar@gmail.com  Cheerioh!!!
SOLUTION:

1.a,Tisza

    b,Leuphana Universität (Lüneburg)

    c,Beer

    d,Lausanne

    e,Pamplona,Valencia

2.a,Fe

   b,Sherlock Holmes

   c,David Hume

   d,Captain Nemo

   e,Andy Warhol

   f,feedback

   g,Istanbul

   h,Geoffrey Chaucer

   i,Portugal

   j,Père Lachaise Cemetery in Paris.

MATHS PUZZLE # 14 -from the 21st to the 28th of February

In an old chronicle of the Italian University of Parma, you can read the following text:

“Two years ago the number of students enrolled at this University was a perfect square. Last year, this number grew in 100 units, obtaining a perfect square by adding just one unit. This year we have one hundred students more (100 units) and we have again a number of students which is a perfect square!”.

Which was the number of students on each occasion?

SOLUTION

EUROPEAN UNION COMPETITION (Second Leg)

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Hi everybody! Thanks for your answers. Here you have this week's questions. Yes, you have read correctly. Because the prizes will be awarded during the mobility in Valencia, our next and final set of questions will reach you on the 25th of February, OK?
1.- Name the present Prime Minister (or similar) in 4 of the 5 countries of our project, -that is Germany, Czech Republic, Hungary, Switzerland and Spain.
2.-Let's go for INVENTIONS: a)the contact lense; b)"velcro"; c) Rubik's cube; d) the coffee filter; e) the transporter bridge. Name the inventor and nationality  of 4 of them.
3.-And now and because I know you like this kind of questions... TRIVIA!!! You can answer 6 of the 8 questions in this section, OK?
a) Which French philosopher created analytical geometry?
b) What Rolling Stone album cover had a zip on the side? 
c) What is classified by the A B 0 system?
d) What in business terms is the IMF?
e) The pica pica is which common bird?
f) What is the white trail behind a jet plane made from?
g) Which soul singer was sitting on the Dock of the Bay?
h) What did the Scottish mathematician John Napier create/invent?
Well, looking forward to your answers I say bye bye to you for now!
(iescampanar11@gmail.com) 
SOLUTION:

1.
Jose Luis Rodriguez Zapatero(Spain), Angela Merkel(Germany), Petr Nečas(Czech Republic), Viktor Orbán (Hungary) and Micheline Calmy-Rey, President of the Swiss Confederation
 2.
a) Otto Wichterle (Czech)
b) Georges de Mestral (Swiss)
c)  Ernö Rubik (Hungarian)
d) Melitta Bentz (German)
e) Alberto Palacio (Spanish)
 3.
a) René Descartes
b) Sticky Fingers
c) The blood group
d) It is the International Monetary Fund
e) The Magpie
f) It is the condensed steam of water that the engines expel (contrail)
g) Otis Redding
h) He discovered the logarithm

NEED YOU NOW!!!

Programme of Comenius Project Visit (Valencia, Spain)

The IES Campanar Comenius group, -Mr Fernando Escuin (Coordinator), Ms Reyes Durá, Ms Mª Eugenia Baquero, Ms Pilar García, Ms Victoria Porras and Ms Mercedes de Villegas-,  would like to thank their Headmaster Mr Ricardo Rizo, the teachers, parents and students for their support and help with the preparation of this visit.

MATHS PUZZLE # 13 (from the 7th to the 14th of February 2011)

PUZZLE #13.....

SOLUTION PUZZLE # 13

EUROPEAN UNION COMPETITION (Second Leg)

Hi everybody! Here you have this fortnight's questions!
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1.-
The ................ is less than half the size of the USA but its population is over 50% larger. Its population is the third largest after China and India.
2.-
a) Where is the Isle of Dogs?
b) Why have the Canary Islands that name?
3.-
a) Called 'The Paris of the East', this capital is a tale of three cities. Can you name them?
b) Vepro-knedlo-zelo'???? Yum, Yum! Tell me the ingredients, please!
c) 'Mons, Pons, Fons' (Hill, Bridge, Spring) is which town's motto?
d) Can you complete the title of a film made by Peter Greenaway in 1994 : ' Stairs 1 _ _ _ _ _ _'
Looking forward to your answers . Send them to   iescampanar11@gmail.com
SOLUTION:
1.-The European Union.
2.-
a) London.
b) Island of Dogs ("canis in latin. There are two dogs in the islands' coat-of-arm).
3.-
a) BUDAPEST: Óbuda, Buda, Pest.
b) Roast pork with sauerkraut and dumplings.
c) Lüneburg.
d) "Stairs 1 Geneva".

SWISS TEAM TRAVELLING TO VALENCIA

This is the photo sent by the Comenius Swiss Team:  from left to right: Claudio RECUPERO (teacher), Simona DEVITO, Laure-Emmanuelle RIVARES, Amélie TAMONE, Marion GUMOWSKI, Ana CUJEAN (teacher), Bernard PARISOD (headmaster) & Matthias GOLLARZA. Hasta muy pronto! 

THE TEN FINALISTS OF THE LITERARY COMPETITION IN GERMANY

This is the photo of our ten finalists in our Comenius Project Literary Contest this year. From left to right:

Meike Claaßen, Annika Beusch, Nikola Henningsen, Moritz Werner, Christoph Lang, Nils Kröger, Nils Holzer, Melissa Schulz, Peter Schacht. (Not in the picture: Alexandra Kalbus). Best of luck now for the international round of the Contest of which the results will be made known at the end of February!

Greetings from Lüneburg!

CZECH TEAM TRAVELLING TO VALENCIA

This is the picture of the lucky group travelling to Spain: Students Petr Bača, David Palenčar, Monika PeŇázová, Michaela Podmolíková, Kateřina Schovánková and Petra Stískalová. Teachers Eva Gondová, Ondřej Geppert and Koči Jiři (headmaster).
See you soon! 

GERMAN TEAM TRAVELLING TO VALENCIA

 This is the photo of part of the German team going to Valencia:

In front of a painting of beautiful Lüneburg you can see (from left to right) Gunnar Schöneich (student), Thomas Peper (teacher), Mareike Bleich (student), Antje Frels (teacher), Nikola Henningsen (student), Dieter Stephan (headmaster).

Not in the picture: Xenia Schick, Lea Mellentin, Melissa Martens (students).

Hasta pronto!

MATH PUZZLE #12 SECOND LEG

(From 24th to the 30th January 2011)


BEING SPORTY 

In a particular school class all the students play some kind of sport: 12 of them play football, 13 play basketball and other 13 play tennis.

There are 3 people who play the three sports, 8 who play football and basketball, 4 who play basketball and tennis and finally 2 who only play football.

a) How many students are there in the class?

b)What is the ratio of students  who ONLY play basketball?  
You can send your answers to matecampanar@gmail.com

SOLUTION
Download Vass Réka's solution from Hungary

HUNGARIAN TEAM GOING TO VALENCIA

This is the photo of our Valencia team. Sitting (from the left to the right): students Vivien Szabó, Edina Brányi, Dóra Kléri, Viktória Kocsis, Nikolett Fóty
Standing: teachers Eva Nagy, László Mihályfi (headmaster), Elvira Szalai. See you soon!

EUROPEAN UNION COMPETITION (Second Leg)

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Hi everybody! Thanks for your answers! To celebrate that this is the SECOND competition of this SECOND round on this SECOND year of our Comenius Project , let's have TWO big questions, OK?
1.-EU
a)What was the ECU?
b)Which newspaper, published between 1990 and 1998, was billed as "Europe's first national newspaper"?
c)At present there are 5 recognised  countries which are candidates for EU membership: M..................,C.............. , I................. , M................  and T...................
2.-EUROPE
a)In which country is the negation in the sentence always DOUBLE (if not, the meaning may change)?
b)Who won the tennis DOUBLES title in Quatar in January 2011?
c)What was the name of this Empire based on a DUAL monarchy? A..........-H............
d)Who was "Les DEUX Suisse" written by? What nationality was he?
e)What was Eszett and when was it replaced by DOUBLE 'S'?
f)What kind of language did Michel de L'Epée create and use in his school?
I am sure you are thinking "A piece of cake"! Well, send me your answers to  iescampanar11@gmail.com
The finalists in the first leg will sum more points, the others may win a reader, which is for the first correct entry. Have a try! Cheerio!
SOLUTION:
1.-EU

a)What was the ECU? European Currency Unit (it was used in the EU before the euro as a measure)
b)Which newspaper, published between 1990 and 1998, was billed as "Europe's first national newspaper"? "The European"
c)At present there are 5 recognised countries which are candidates for EU membership: Macedonia,Croatia , Iceland , Montenegro and Turkey
2.-EUROPE
a)In which country is the negation in the sentence always DOUBLE (if not, the meaning may change)?
In Spanish, in Czech and in many other European languages.
b)Who won the tennis DOUBLES title in Quatar in January 2011?
Rafael Nadal and Marc López
c)What was the name of this Empire based on a DUAL monarchy? Austria-Hungary
d)Who was "Les DEUX Suisse" written by? What nationality was he? Louis Dumur. He was Swiss.
e)What was Eszett and when was it replaced by DOUBLE 'S'?It was the letter ß, a ligature in the German alphabet. In 1996.
f)What kind of language did Michel de L'Epée create and use in his school? The language of signs.

I'VE BEEN LONGING FOR THIS DAY

¦ So I'll be waiting, 'cause I can't smile Juntil I see your smile ¯
IES Campanar host students are posing for the photo and taking profit of the occasion to greet all their peers coming to Valencia next March the 1st. See you soon!!!!!!!  

MATHS PUZZLE # 11 SECOND LEG

   (From the 10th to the 16th of January 2010) 

Determine a series of 12 natural numbers in which the fourth term is 4, the twelfth term is 12 and the sum of ANY three consecutive terms is 50.

You can send your answers to matecampanar@gmail.com

SOLUTION

The number is: abcdefghijkl

If l = 12 → j+k =38 → i=12 → g+h = 38 → f= 12 →d+e = 38 →e=34 → g = 4 → h = 34 →

j = 4 → k = 34

Because of d+e = 38 → c=12 →b=34 →a =4

Consequently the number is: 4;12;34;4;12;34;4;12;34;4;12;34

-----The next puzzle to be posted on the 23rd of January-----

EUROPEAN UNION COMPETITION # 6 (Second Leg)

Hi everybody and a very happy New Year! These are the questions. Are you ready? The second leg begins.
1. About year 2010
a) Which particular diet was awarded by UNESCO?  
b) It was the sound of the Summer, the sound of football, the sound from your TV. Do you remember how that particular instrument is spelt?
c) The founder of Wikileaks was arrested in London last December. What is his name and nationality? 
2.-About year 2011
a) What is 2011 equivalent in Roman numerals?
b) The U.N. has designated 2011 the International Year of C_ _ m _ _ _ _ _ .
c) Stieg Larsson's books were the most read both in 2009 and 2010. Will this other Scandinavian writer be so successful in 2011? Unscramble his name: OJ  BONES
3.-About EU Institutions
a) New Year brings changes. Which country has assumed the EU presidency?
b) And which EU country has begun using the euro this week?
c) What can portal EURES do for you?
That's all, neither dificult nor long! Looking forward to your answers. Send them to iescampanar11@gmail.com
If you are not one of the 8 finalists in the first leg of the competition you can also win a reader, but only the first correct entry will get it! Come on, have a try!
SOLUTION:

About year 2010

1.- The Mediterranean diet.

2.- v-u-v-u-z-e-l-a

3.- Julian Assange, he is Australian

 About year 2011

1. MMXI

2.Chemistry

3.Jo Nesbo

 About EU Institutions

1.Hungary

2.Estonia

3.It is a portal with help and information about professional mobility within the EU.

LITERARY CONTEST 2011 &

SECOND LEG OF THE MATHS AND EU COMPETITIONS

As announced earlier in December, the second leg of the Maths Competition will restart on the 10th of January and will run for 10 weeks with a new puzzle every fortnight (i.e. 5 puzzles from January to March) for the students who won the previous leg of the contest in their respective countries.
As for the EU competition, it will restart on the 8th of January and will run for ten weeks on a fortnight basis too.

LITERARY CONTEST 2011
   
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THE TOPIC:   (Two possibilities)

1.-‘Common Denominator?? Do you think Euroteenagers have something in common?'   

-OR-

2.- ‘We are the World, We are the Future’ (Students are asked  not to relate their composition to M. Jackson’s life or songs).

TERMS OF ENTRY:

1. Essay, poem, fiction writing, story writing , ...........written in English
2. Length: 150-300 words.
3. Deadline: 26th of February 2011 
4. Age: 15-18
5. Different prizes according to age groups (15/16-year olds, 17/18-year-olds)
6. The five schools taking part in the project will send a maximum of ten entries per school.
7. The e-mail address where to submit them is  iescampanar11@gmail.com
8. The result will be posted on this blog in March. The prizes will be awarded during mobility in Valencia.

MATHS PUZZLE CONTEST WINNERS IN THE CZECH REPUBLIC

Our winners at the Gymnázium Lipník nad Bečvou, in the Czech Republic are:
Radek Hanel
Lukáš Slaměník
Kristýna Mandáková.

Congratulations!

MATHS PUZZLE CONTEST WINNERS IN GERMANY

The winners of the Comenius maths-puzzle contest were awarded their prizes - thanks to the snowfall having stopped so that pupils and teachers in Lüneburg were able to get to school. The three best pupils of our school Gymnasium Oedeme, Lüneburg, are: (from left to right): Swantje Mahncke (9 L): 2nd prize, Philip Luderer-Pflimpfl (9 F): 1st prize and Elena Krey (9 fl 1): 3rd prize.
In the photo below The math teacher, Mrs Anke Bergmann, congratulates her student Philip who won the
first prize.

MATHS PUZZLE WINNERS FROM SPAIN

After 10 weeks of the Maths Puzzle Competition, on a weekly basis,  the winners at Campanar Secondary School in Valencia, SPAIN, are:
12/14-year-olds: DANIEL A. OVIEDO MUÑOZ
14/16-year-olds: MIKHA SEMENOV
16/18-year-olds: KEVIN MONTALVÀ MINGUET

CONGRATULATIONS!!! And best of luck in the second leg to begin on the 10th of January!

In the photo above the three winners receiving a litle gift each from the headmaster, Mr Ricardo Rizo, deputy head Ms Pilar García and Mr Fernando Escuin,the head of the Maths Department and responsible for the Maths Puzzle Competition.

EUROPEAN UNION AND EUROPE COMPETITION

EU COMPETITION: There have been 43 entries in the 5 different sets of questions. This is the list of the students with the maximum number of points and so the winners of the first leg of this competition:
1.- Major Lili (HU)
2.-Teresa Martínez (E)
3.-Soha Dániel (HU)
4.-Lenka Fišbachová (CZ)
5.-Sheila Moril (E)
6.-Krystina Mandaková (CZ)
7.-Simon Szabina (HU)
8.-Süle Olivér (HU)
There is a reader, compliment of MacMillan Publishers in Valencia and a Certificate prepared by our school for each of these students . And they are actually the ones that can take part in the second round of the competition running from January the 8th 2010. CONGRATULATIONS to all of them!
As for the rest of the students no matter whether they participated or not in the first leg, you can still send your solutions in January too. There will be a reader for the first entry with the correct solutions on each of the 5 sets of questions. Have a try!!!

MATHS PUZZLE WINNERS FROM HUNGARY

From the left to the right:
REKA VASS
DANIEL KAPOCSI
SZENIA HAJOS

EU COMPETITION (First leg of Second Year)

E.U. Competition # 5  (First Leg of Second Year) 

Hello everybody. Here are the questions of the last EU Competition this year. Send your solutions to iescampanar09@gmail.com

 

1.-In old Greek it meant 'sailor' but today if you hear PLOTEUS, can you tell me what it stands for?

2.- a) A Swedish heavy metal band called EUROPE had a big hit years ago with which song?

      b) Years ago too Carlos  S........... 's song 'Europa' was also a great hit, particularly his guitar solo.

3.-The European quizz: We also have to know a bit about other European countries and not only those in our Comenius project. Let's see if you can do it. Very easy indeed!

a) I'm walking the Spanish steps. Which city am I in?

b) I'm on a ship docked in Piraeus. Which country am I in?

c) I am visiting the beautiful village of Aigne, most known for being built in the shape of a snail. Which country am I in?

d) I have travelled down Princes Street and the Royal Mile today. What city am I visiting?

e) In which European city is the Grand Canal?

f) This city, put on Unesco World Heritage list for its Art Nouveau architecture, is also the biggest city in the Baltic States.  What's the name of the city?

SOLUTIONS:

1.- Portal on Learning Opportunities throughout the European Space

2.- a) The Final Countdown  b) Carlos Santana

3.-a) Rome; b) Athens; c) France; d)Edinburgh; e)Venice; f) Riga.

Lüneburg Symphony

A very interesting visit to Ballinstadt the Museum of Emigration, a reception at  the townhall of the beautiful city  of Lüneburg, different working sessions -with a rally, a collage,  Power point presentations and a farewell party with a stunning school band playing for us, all the "movements" planned and organized by Mrs Frels and the Comenius team of her school, the Gymnasium Oedeme, were very well-orchestrated. They all worked hard too on the perfect musical decoration for the visit, making Lüneburg look even more glorious in a bright white robe of snow that made but the ideal background for the city popular Christmas market.
The Comenius teachers and students from Lipník nad Bečvou, Ajka, Valencia and  Geneva want to congratulate the director and players of such a splendid symphony.  The Spanish team, however, ended it with a conga, since they had to queue up and down and spend two extra nights, one in Hamburg and another one in Majorca, because of the air controllers wildcat strike, though the sweet memories of Lüneburg will stay in their retina and hearts for a long, long time.

MATHS PUZZLE # 10 FIRST LEG (Second Year)

MATHS PUZZLE# 10 (from the 6th to the 13th of December)

THE MIDDLE LOT

28 Hm²  . Can you calculate the area of the shaded lot? 
Andreu has a triangle-shaped piece of land which is divided in 7 different lots that have all the same width, as you can see in the picture below. We know the area of the whole land is  

You can send your answers to matecampanar@gmail.com

SOLUTION

Let us call:

BMT = The longer base of the trapezium

BmT = The smaller base of the trapezium

h = The height of the trapezium

B = The base of the triangle

H = The height of the triangle

We will use now Thales's theorem:

BMT/H = 4/7 → BMT = 4H/7

BmT/H = 3/7 → BmT = 3H/7 ; adding now BMT + Bmt = 4H/7 + 3H/7 = H

On the other hand , we know from the area of the triangle that = 28 = BH/2 →B = 56/H

Besides,

h = B/7 = 56/(7H) = 8/H

Hence the area of the trapezium is: A = (BMT + BmT)·h/2 = (H·8/H)/2 = 4 Hm2

........................................

There is another more intuitive but less rigorous way to solve this problem. This is it:

The triangle is divided into six trapezia and one triangle. Some are bigger, some of them smaller. The trapezium in the middle is just between the bigger trapezia and the smaller ones.. It is logical to think thus its area to be:28/7= 4 Hm2

MATHS PUZZLE # 9 FIRST LEG (Second Year)

(from the 29th of November to the 6th of December)


 JULIA'S FIRST DAY AT SCHOOL
It’s the first day of school for Julia. The teacher, Miss Rivas, has told her students to meet in the playground. She says: “You must all shake hands and introduce yourselves”

If there were 10 students in her class, how many handshakes were there?

You can send your answers to matecampanar@gmail.com

SOLUTION

The first student will shake hands with 9 students, the second student with 8, the third student with 7 and so on. So we have 9+8+7+6+5+4+3+2+1 =45

Or another way to solve the problem:

If there are 10 students, each one will give his/her hand to the other 9 students. That is 10 x 9 =90. However, if we calculate the handshakes this way, we are counting each handshake twice: for example when say B greets C and when C greets B. Thus the number of handshakes is half the calculations made above, therefore (10 x 9)/2=45 

EU COMPETITION #4 (First leg of Second Year)

E.U. Competition # 4  (First Leg of Second Year) 

Hi! Thanks for your answers! Here are this fortnight's questions:

1.

a) What do these Shakespeare's plays have in common?... Julius Caesar, Richard III, Hamlet, Macbeth. 

2.

a) In which country is the European Court of Justice sited?

b) Which country refused to join the European Economic Community when it was founded in 1957 but later applied three times before actually being admitted?

3.

a) Borders are not respected by nature. Which European countries  does the Danube run through?

b) Which region of the EU is the first to celebrate the New Year?

c)  Finally try these riddles:

Paella is to Spain as Gulash is to ……………..

The Beatles are to Britain as Kabát are to ………………

Hamburg is to Germany as …………………to the Netherlands.

Courmayeur and Cortina d’Ampezzo are to Italy as …………………  and …………………. are to        Switzerland.

 

And that’s all today. Remember to send your answers  to    iescampanar10@gmail.com             CU in 2 weeks!!    P Ú   

SOLUTION:

1.- There is a ghost in all of them

2.-a)Luxembourg City

     b) Great Britain

3.-a)Germany, Austria, Hungary, Serbia, Bulgaria, Moldova, Slovakia, Croatia, Romania,      Ukraine.

     b)New Caledonia (those islands belong to France)

     c)Hungary

        Czech Republic

        Rotterdam

        Zermatt, St Moritz, Les Diablerets  among many other ski resorts.