ABACUS International Math Challenge
for
3rd and 4th graders
November, 2004
A.449. There were 36 peanuts and 24 walnuts
on a plate. How many people could eat them all if everybody ate the same
number of peanuts and also an equal number of walnuts?
A.450. Timea's birthday is on December
6. As a present, her mom wants to buy her a book that Timea could finish
reading by Christmas (December 24). Her mom just found a great book that
has 289 pages, but the first chapter starts only on page 5. Could Timea
finish it on time if she reads 32 pages on the first day and on every following
day she reads 8 more pages than on the previous day? How many days does
she need to finish this book?
A.451. Sometimes, when you multiply a 2-digit
number by 3, you get a 3-digit number. How many of these numbers are there?
Which one is the smallest, and which one is the greatest one of these 2-digit
numbers?
A.452. There are three bags of balls containing
identical colors: one has red, the other has green, and the third bag has
blue balls. If you take out 75 balls from one of the bags, 46 from the other,
and 52 from the third, there is an equal number of balls in each bag. How
many balls were in each bag at the beginning if we started with a total
of 533 balls?
A.453. In how many 3-digit numbers is the
sum of the digits 6?
A.454. Pete and Joe are playing chess.
The winner of a game get 5 points, the loser does not get any point, and
each player gets 2 points for a tie. They played 13 games and received 60
points together. Joe received three times as many points for the games he
won then for his tie games. How many times did Pete win?
A.455. They used 664 digits to number the
pages of a math textbook. How many numbered pages are there in the book
if the numbered pages start with the third page with the number 3 on it?
A.456. If six children can wrap 48 presents
in 6 hours, then, working with the same effectiveness, how many presents
can be wrapped by
a) 12 children in 12 hours;
b) 3 children in 24 hours;
c) 2 children in 3 hours?
Please, send your solutions to: