Sunday 29 November 2009

EU COMPETITION #4

First Question: The flag of Europe has a circle of 12 golden stars. Why 12??
Second Question: Could you name the highest mountain in Western Europe, the largest lake in Central Europe and the longest river in Europe?
Third Question: Can you figure out this text. It's too windy and all the vowels have blown away:
Th mst ppltd cptls n rp r: Mscw wth 8,500,000 ctzns; Lndn wth 7,000,000 nd Brln wth 3,500,000. Vtcn cty s th smllst cptl wth nly 800 ctzns!!!
If you know the answers send an e-mail to iescampanar09@gmail.com and you may win a small gift. Loads of luck!
SOLUTION:
1.- Because number 12 is considered to be the symbol of perfection, completeness and unity.
2.-The Mont Blanc; Lake Balaton and the Volga.
3.-The most populated capitals inEurope are: Moscow with 8,500,000 citizens; London with 7,000,000 and Berlin with 3,500,000. Vatican City is the smallest capital with only 800 citizens
.

WEEK'S PUZZLE 9

PUZZLE 9 – from the 30th November to 6th December( to be collected by the 7th of December)
Try to find all the two-digit numbers which, when divided by the sum of their digits, have a quotient equal to 7 with no remainder
.


SOLUTION
The number in polynomial form is 10a+b. Because of the condition:
(10a+b)/(a+b) = 7
10a+b = 7a + 7b
3a = 6b
a = 2b
With b= 1,2,3,4 (more it's impossible), the solutions are: 21, 42, 63, 84

Monday 23 November 2009

WEEK'S PUZZLE 8

PUZZLE 8 – from the 23rd to the 29th of November ( to be collected by the 30th of November)

A certain four-digit number obeys the following conditions:
a) The sum of the squares of the two digits on both sides is = 13.
b) The sum of the squares of the two digits in the middle is =85.
c) If we substract 1089 from that certain four-digit number, we get another figure this time with the same digits but exactly in the opposite order.
Which number is it?


SOLUTION
Because of the conditions:
The digits on both sides are: 2, 3
The digits in the middle are: 6, 7 or 2,9

There are eight possibilities, the numbers: 2673, 2763, 3672, 3762, 2293, 2923, 3292, 3922

The solution is the number: 3762 (because 3762-1089 = 2673)

Thursday 19 November 2009

PHOTOS OF MEETING IN AJKA

SWITZERLAND'S PHOTOS1

SWITZERLAND'S PHOTOS2

GERMANY'S PHOTOS

CZECH REPUBLIC'S PHOTOS

EU COMPETITION #3

Here are the three questions:
1.-What nationality was J.A. Comenius? 2.-The European Commission is the EU's executive body. How many Commissioners are there in it? And how many members in the European Parliament? 3.-If a Bulgarian nods his/her head up and down, does he/she mean 'yes' or 'no' ?
Send your answers to iescampanar09@gmail.com Lots of luck!
SOLUTIONS:
1. - Moravian (from the Czech Republic). And here is one of his quotes for you to read:
'Let us have but one end in view, the welfare of humanity; and let us put aside all selfishness in consideration of language, nationality, or religion'. John Comenius
2. - 27 Commissioners, one per country. And 736 members of the EU Parliament.
3. - He/she means NO!!!

Spain's projects on Switzerland


The twenty-two students in 4ºESO C at Campanar Secondary School prepared in October some classroom projects on Switzerland, which are now on their classroom walls for everybody to see. Here are some photos of them.

Tuesday 17 November 2009

TEAMS IN AJKA (5th November 2009)

"Discovering Ajka" Power Point presentations prepared by the Comenius students distributed in different multinational groups. They had to go and discover Ajka’s sights, processed the info and create both a PPP and a postcard as well as present the photos taken and their work in front of the other students and teachers.
Team1

Team2

Team3

Team4

Video

Monday 16 November 2009

WEEK'S PUZZLE 7

PUZZLE 7- From the 16th to the 22nd November (to be collected by the 23rd of November)

A FIERCE BATTLE
In a fierce battle, say that at least 70% of the soldiers have lost an eye;
at least 75% an ear; at least 80% an arm; and at least 85% a leg.
What percentage, at least, must have lost all four? (Lewis Carroll)


SOLUTION:

At least 45% lost an eye and an ear (70+75 = 145)
At least 65% lost an arm and a leg ( 80 +85 = 165)
Therefore at least 10% lost an eye, an ear, an arm and a leg (45 + 65 = 110).

PROJECT MEETING AND PRESENTATIONS IN AJKA (4th November 2009)


 DANCING CZARDAS
Nine teachers and twenty-three students from four secondary schools in Germany, The Czech Republic, Switzerland and Spain visited the Bródy Imre Gimnázium, Szakközépiskola és Ami in Ajka, from the 3rd to the 7th of November 2009. They received us both teachers and students with typical Hungarian dances superbly performed by some of their pupils. Czardas final fast tempo spread among us all , and we kept that spirit all through our stay in Ajka since we took part in the many and very interesting activities the Hungarian school  had planned for us and which included a short trip to the charming city of Veszprém and to the beautiful lake of Balaton, often called “The Hungarian Sea”.
Our 5 partner schools teachers and students, who work on the multilateral Comenius project –“The School as the Integration Engine”,  also had working sessions together, attended some lessons and tasted some of the most delicious dishes of Hungarian cuisine. The weather was a bit cold particularly for Spanish standards but it did not matter when you are so warmly welcomed. I understand now why you say “Cold hands, warm heart”. Közönöm, Ajka! (Thanks, Ajka).


The following Power Point presentations were prepared by the different partner schools' students in their countries and later presented in Ajka in front of the rest of the Comenius students and teachers.
Presentation of Hungary by Spain

Presentation of Czech Republic by Hungary

Presentation of Germany by Czech Republic

Presentation of Spain by Germany

Presentation of Geneva by Geneva

Images of Bródy Imre Grammar School

Monday 9 November 2009

WEEK'S PUZZLE 6

PUZZLE # 6 -from the 9th to the 15th of November (to be collected by the 16th of November)

FOUR DIGITS
This week your task is to try and find a four-digit number (abcd) so that when writing a decimal comma* between the second and the third digit (ab,cd) we get a number which is the mean or arithmetic average of the two digits which are left on both sides of the decimal comma.

*decimal comma or decimal point (ab.cd)


SOLUTION

Mentally:
The numbers are 49 and 50, because (49+50)/2 = 49,50

Mathematically:
If the number is abcd:

((10a + b) + (10c + d))/2 = 10a + b + c/10 + d/100

50 ( 10a + b) + 50 (10c + e) = 1000a + 100b + 10c + d

490c + 49d = 500a + 50b

49(10c + d) = 50(10a + b)

The only solution is 49 and 50.

Monday 2 November 2009

WEEK'S PUZZLE 5

PUZZLE 5 -from the 2nd to the 8th of November (to be collected by the 9th of November)

THE AIRCRAFT

A light aircraft has just flown 400 kilometres. The aircraft covered the first 100 kms at a speed of 150 kph, the next 100 at 300 kph, the following 100 at 450 kph, and the last 100 at 600 kph.
Can you figure out the average speed of the aircraft on its 400 kilometres journey?


SOLUTION

t = e/v (t = time, e = space, v = velocity)

t1 = 100/150 = 2/3
t2 = 100/300 = 1/3
t3 = 100/450 = 2/9
t4 = 100/600 = 1/6

T = 2/3 + 1/3 + 2/9 + 1/6 = 25/18

v = E/ T = 400 : (25/18) = 288 kph