Nicron #63 20 ноября 1997

Education - The Palace of creativity and the Center for Continuous Mathematical Education organize a contest for students in 6 - 8 classes.

          Your university!

(C) The Moscow City Palace for Children and Young People,

    Moscow Center for Continuous Mathematical Education

        Correspondence contest

      about mathematics and informatikeF0


  The Moscow City Palace of creativity and the Moscow Center 
for Continuous Mathematical Education organize a contest 
Correspondence in mathematics and science for students 6 - 8 
classes. 

  Participate in the contest can any student who has decided to 
at least 2 out of 5 of the proposed tasks. To do this he must 
not later than December 15 to send the complete solution at: 

Moscow, 121002, Big Vlasyevsky lane, 11. Moscow
Center for Continuous Mathematical Education, Correspondence 
contest; from a student ... Class ... schools; <Full Name in 
full>. 


  The letter must specify the return address. The letter should
put an unsealed envelope with your address and inscribed marks 
on the current amount of the cost of sending the letter. In 
this envelope You will be sent the results of testing work and 
the following tasks. 

  On each sheet of work must specify the name, number of school 
and class. 

  Be sure to check that everything is done!


  The organizing committee wishes you success!


    aochny competition in mathematics and computer science. 
Fall 1997 

                Adachi


1. On the lake a lily blossom. Every day, doubling the number 
of flowers, and 20 th day of the whole lake was covered with 
flowers. At what Day flowers cover half the lake?


2. Find the last digit of the number 14 ^ 14 (14 degree 14).

3. Digits of a number recorded in reverse order. The resulting 
number was added to the original. Can the amount equal to 999? 
Could it be 9999? 

4. If 30 people sit down in the auditorium of the cinema, at 
least in one row will be at least 2 people. If the hall to seat 
26 people, at least 3 rows will be empty. How many rows in the 
hall? 

5. In Petit, Vasey and Coley together had 120 candies. First 
Peter gave Candy and Basil Cole - each as much as each of those

was. Then Vasya gave candy Cole and Pete - each as much as 
every one of those before it disappeared. Finally, Kohl gave 
candy Basil and Pete - each as much as each of those were at 
that time. As a result, everyone got equally. How many candies 
were in every beginning? 

From the Editor NICRON-a. Answers to the problem will publish 
on December 19. ;-)