Hi,

Here are some problems you can try to solve. I think it doesn't require much knowledge, but mostly tricks.

#1 : simple algebra

Less than 12 years ago, a mathematician, Vincent Urri, told his niece :

- It's curious ! I have in front of me 3 positive integers. Their product is equal to my age and their sum gives your age !

The niece, though she's good at calculations, wasn't able to guess what the 3 numbers were.

This year, Vincent Urri has just turned 100 years old. How old is his niece today ?

#2 : a little of number theory

1. What is the remainder in the division of http://www.gnux.be/latex/data/fdf0a6...56e932b2b2.png by 7 ?

2. What is the remainder in the division of http://www.gnux.be/latex/data/fdf0a6...56e932b2b2.png by 11 ?

3. What is the remainder in the division of http://www.gnux.be/latex/data/fd826b...49accfb088.png (where there are 502 times the pattern 2008) by 37 ?

#3 : simple geometry

The Swedish flag Attachment 7284 has a yellow cross ofconstantwidth in a blue background. The yellow area represents one third of the flag's area.

If the flag is 1m long and 66cm wide, what is the width of the yellow stripes ?

#4 : aŁg€bra

Teddy left his 9-digit code of his safe box in his safe box !

Luckily, he recalls that the code doesn't have any 0, that the numbers are all different and that :

- the number formed by the first 2 digits is a multiple of 2

- the number formed by the 2nd and the 3rd digits is a multiple of 3

- the number formed by the 3rd and the 4th digits is a multiple of 4

- and so on... until the number formed by the 8th and the 9th digits, multiple of 9.

With this information, he finds out 2 possibilities. What are they ?

Enjoy (Sun)