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