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Maths trail bourg en bresse
1. Follow the pink trail …
and answer the questions prepared by students from Lycée Carriat.
NAMEOF THE TEAM: …..
MEMBERS:
…..
…..
…..
…..
…..
2.
3.
4. 1 – Rue Lalande, Temple
What type of triangle is it?
..................................................
What deductioncan you make about the
angles?
..................................................
How many vertices are there on each star at
the top of the temple?
.................................................
Look under the roof, find out the owls.
Imagine that ahead of each owl there are
three owls, and that behind each owl there
are three other ones, how many owls are
there at least?
...................................................
2 – Rue du Palais
You have to find a date, and
for this we are going to help
you with a little game :
First of all find out how many
“As” are on the marble
plate.
Then add to this the number
of doors you find on the front
face of the building.
Then look at the top of a doorand add this number to the result. Count
the windows and add them to the number you have found.
At last add it to the number of colors on the “Rotary International”
blazon.
What’s the sum ? ......................................................
5. 3 – 13 rue Bourgmayeur, Hôtel Horlas
You
have
to find
something, somewhere, and for this, we are going
to help you with a little quiz.
To start, what are the first and the last letters of the
first word of the name of the city where you
are?..............................................................
Then, find the number of the department called “Ardennes” .................
To continue,subtract the number of doors to the number you find on
the plate next to the door, then divide it by 2..........................................
Count the windows...........................................
Finally,put all the answers together, this will make you a sort of code;
then, find on the building,where this code is.
CODE : …....................................................................................................
This code is next to something, what is it?
...................................................................................................................
Count the number of faces (except the black part) you find on the 3D
shape.
HOW MANY FACES: .................................................................................
DEDUCTION:the 3D shape is a ................................................................
6. 4 – Rue des Marronniers
Look at this house, they have a specific name, and you are going to
guess. Each letter of the word corresponds to a number (alphabetic
order ex: A=1 and E=5 etc...)
Letter Number Explanation
The first roman numeral above the big door
on the left facade
Valentine'sday
The number of doors
The number of wooden plateson the big door
of the left facade
Number of channelson the floor
Number of hearts on the shutter
The first roman numeral above the big door
on the left facade
Number of months in a year
Same ↑
The first roman numeral above the big door
on the left facade
The misfortune number
The first roman numeral above the big door
on the left facade
Valentine'sday
Add the number of vertices in a hexagon and
in a square
7. 5 – Rue des Marronniers
What is the shape of the tower:
.......................................................
ABCD
- EF
= ...........
ABCD = (((7²)-2)x7)x(2+3)
EF = the number of rectangles that you
can count in one window at the left of
the building.
Example: in this shape with 3
rectangles, you should be able to find 6
rectangles in total)
6 – Place des Lices
You are now on the “Place des Lices”, recently the city hall of
Bourg en Bresse has decided to destroy the car park and to plant 10
trees. You have 4 trees per line and you have 5 lines.
Can you please help the city of Bourg en Bresse and draw how the
“Place des Lices” will be arranged?
8. 7 – Place de la Grenette
On the “Place de la
Grenette” you can see
what is now the cinema
which was built in 1899
to be the hall of grains.
With a scale and 3 weights of 1, 3 and 9 kg, how many different
weights can you weigh?
………………………………………………………………………………………………………………
………………………………………………………………………………………………………………
………………………………………………………………………………………………………………
………………………………………………………………………………………………………………
8 – Rue Bichat
This street wears the name of a famous doctor: Xavier Bichat, who
was born in this department:Ain. He worked in the old hospitalof
Bourg, he was also responsible for a huge advance of the medicine in
only 11 years of career!
When Xavier Bichat was a child he had 8 hens, his 8 hens would
lay 8 eggs in 8 days. But one night a fox killed 4 of them! How many
eggs were laid in 4 days by 4 hens?
………………………………………………………………………………………………………………
………………………………………………………………………………………………………………
………………………………………………………………………………………………………………
………………………………………………………………………………………………………………
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9. 2O years later Xavier Bichat had 2 daughters: Marie and Anne.
Together Anne and Marie weighed 102 kg, Marie weighed 4 kg more
than her sister. How much did Anne weigh?
………………………………………………………………………………………………………………
………………………………………………………………………………………………………………
………………………………………………………………………………………………………………
………………………………………………………………………………………………………………
9 – Hôtel de Ville
This buildingis the city hallof Bourg en
Bresse, it was built in 1771.
How many circles can you count on the
ground in the small square in front of the
city hall?
……………………………………………………………………
…………………………………………………………………..
How many triangles can you count on this figure?
………………………………………….......................................................................
10. 10 – Rue Notre-Dame
In this street you have a shop called“La Chocolatière”,it’s a place
where you can buy some French cakes. Two months ago a young girl
called Manonwas asking herself: “If I had 3 times as much money, I
could buy 3 more cakes. How many cakes can I buy?” Answer Manon's
question.
………………………………………………………………………………………………………………
………………………………………………………………………………………………………………
………………………………………………………………………………………………………………
………………………………………………………………………………………………………………
………………………………………………………………………………………………………………
11 –Notre-Dame Cathedral
How many gargoyles are at the rear
side of the cathedral?
………………………………………………………….…
What number is written under the
statue in front of the cathedral?
………………………………………………………….…
11. 12 – House Hugon
What is the shape of the third storey of the house Hugon? (rue V.
Basch)
………………………………………………………………………………………………………………
13 – Street of “Bons enfants”, trompe l’oeil
How many windows are on the wall behind the fountain?
………………………………………………………………………………………………………………
They were painted in 30²+33² ……………………………………………………………….
12. 14 – The Fountain Of the 4 Paths
What is the shape of the
« Fontainedes quatre
chemins»?
…………………………………………………
What is the formula to work out
its volume? ………………………………
How many types of trees are
there? ………….…………………………
15 –The Jacobins’ Gate
When was the big gate erected? (Look at the information at the right of
the door, over the number 1 in blue)
………………………………………………………………………………………………………………
Add up all the digits …………………if this number hasseveral digits, add
up all the digitsagain and again until you find a one-digit number: ……..
This number is calledthe digital root of the original number.
13. 16- Impasse Littré
The oldest house in Bourg-
en-Bresse is in Impasse Littré
street and has a pulley.
What is the number of this
house? (Raise your eyes!)
……………………………………………
It is the oldest house in
Bourg-en-Bresse. It dates
from the MiddleAges.
This is how long multiplicationswere set in the Middle Ages :
Example with 469 x 37 :
First write the numbers on a grid.
Draw the diagonalof each cell.
Then multiply each pair of digits.
4x3=12 , write 1 above the diagonaland 2 below
Etc.
Finally,total the diagonals,starting from
the bottom right.
The final product is 17,353.
It is called lattice multiplication.Use it to multiply 358 by 52
The final product is ……………………………………………………………………………….
14. 17- Lycée Lalande
Lycée Lalande is a very old high school. It dates
from 26
x33
– 34 ……………………………………………………
It wears the name of an astronomer Jérôme
Lalandewho studied in this school.
Estimate the height of the building:…………………………………………………….
18- Hôtel de Meillonnas
Edgar Quinet, a French historian and
intellectuallivedin this place.
How old was he when he died?
……………………………………………………………
How long ago did he die? …………………..
19- Apothicairerie de l’Hôtel Dieu
This is the ancient hospitalof Bourg-en-Bresse.
How many windowscan you count on the facade
along Boulevard de Brou?
……………………………………………………………………………..
20- Royal Monastery of Brou
The roof is covered in coloured tiles.
Draw the pattern of the tiling.
(1 blue
square)
It is composed of monastic buildingsand a
church, which were built at the beginningof the 16th century.