ABACUS International Math Challenge
for
3rd and 4th graders
November, 2002
A.337. How would you continue the following
number sequence: 100, 101, 103, 107, 115,122, ...?
A.338. On one day in December, 2002, Adam
will be 2002 days old. His father will be 2002 weeks old that day. How many
years old was the father when Adam was born?
A.339. Next year (in 2003) Joan will be
just as many years old as the sum of the digits in the year of her birth.
What year was she born?
A.340. Find all those 4-digit numbers in
which every digit is even but not zero, the first and the last digits are
the same, and the sum of the first two digits is twice the sum of the last
two digits?
A.341. In the year number 2002 there are
two different pairs of identical digits. How many of this kind of years
were there since we started counting the years (1 AD)?
A.342. What is the last digit of the product
of the sum and the difference of the smallest 2002-digit number and the
greatest 2001-digit number?
A.343. Write down the positive whole numbers
from 1 to 2002 in a row and write addition signs between them. Then change
as many of the signs as you want to a subtraction sign. Can you make the
sum to be 2002?
A.344. From the number 2456 you can create
a new number by the following way: 24+2+4=30, 56+5+6=67, so the new number
is 3067. From which 4-digit number could you get 2002 this way?
Please, send your solutions to: