Follow the pink trail …and answer the questions prepared by students from Lycée Carriat.

NAME OF THE TEAM: …..

MEMBERS:

…..…..…..…..…..

Discover our city ...

Bourg en Bresse

Maths Trail

1 – Rue Lalande, TempleWhat type of triangle is it? ..................................................What deduction can 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 PalaisYou 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 door and 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 ? ......................................................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 ................................................................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 facadeValentine's dayThe number of doorsThe number of wooden plates on the big door of the left facadeNumber of channels on the floorNumber of hearts on the shutterThe first roman numeral above the big door on the left facadeNumber of months in a yearSame ↑The first roman numeral above the big door on the left facadeThe misfortune numberThe first roman numeral above the big door on the left facadeValentine's dayAdd the number of vertices in a hexagon and in a square

5 – Rue des MarronniersWhat 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?

7 – Place de la GrenetteOn 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 BichatThis street wears the name of a famous doctor: Xavier Bichat, who

was born in this department: Ain. He worked in the old hospital of

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?

……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………..

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 VilleThis building is the city hall of 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 – 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 Manon was 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?………………………………………………………….…

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 ……………………………………………………………….14 – The Fountain Of the 4 Paths

What is the shape of the « Fontaine des 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 has several digits, add up all the digits again and again until you find a one-digit number: ……..This number is called the digital root of the original number.

16- Impasse LittréThe 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 Middle Ages.

This is how long multiplications were set in the Middle Ages :

Example with 469 x 37 : First write the numbers on a grid.Draw the diagonal of each cell.

Then multiply each pair of digits.4x3=12 , write 1 above the diagonal and 2 belowEtc.

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 ……………………………………………………………………………….

17- Lycée LalandeLycée Lalande is a very old high school. It dates from 26x33 – 34 ……………………………………………………It wears the name of an astronomer Jérôme Lalande who studied in this school.

Estimate the height of the building: …………………………………………………….

18- Hôtel de MeillonnasEdgar Quinet, a French historian and intellectual lived in 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 hospital of Bourg-en-Bresse.How many windows can you count on the facade along Boulevard de Brou?……………………………………………………………………………..

20- Royal Monastery of BrouThe roof is covered in coloured tiles.Draw the pattern of the tiling.(1 blue square)

It is composed of monastic buildings and a church, which were built at the beginning of the 16th century.