ABACUS International Math Challenge
for
7th and 8th graders
April, 2002
The final deadline for you to send in your solutions to
these problems and all of those posted since September, 2001 is
May 31, 2002.
C.313. How many 3-digit positive whole
numbers contain the digit zero?
C.314. Write 625 as the sum of two square
numbers.
C.315. Find a 4-digit square number in
which the number created from the first two digits, and the number created
from the last two digits are both square numbers, too.
C.316. Find such a and b positive whole
numbers for which:
by Drew Besse, Troy, New York
C.317. Find all those even numbers that
can be written as the difference of two square numbers.
C.318. Find the smallest positive whole
number for which double the number is a square number, and triple the number
is a cube number.
C.319. How many 4-digit numbers are there
in which there is at least one repeating digit?
C.320. How many different delegations can
you create from 4 older men and 3 younger men, if there must be at least
2 older men, and no more than one younger man in the delegation?