ABACUS International Math Challenge
for
3rd and 4th graders
November, 2003
A.393. In the Animal Olympic Games there
were 8 teams in Volleyball. Every team played every team to decide who the
best team was. How many games did the teams play all together?
A.394. In Weight lifting the elephant that
finished in first place lifted 300 kg more, which mean 3 times as much as
the hippopotamus who finished on second place. How many kg did the elephant
lift?
A.395. In the finals of Javelin the results
were the following: the bear: 38 m + 8 javelin-lengths, the wolf: 63 m +
1/4 javelin-length, the lion: 56 m + 4 and a half javelin-lengths. What
was the final order of the animals if the length of the javelin is 2 m 4
dm?
A.396. The team of the reptiles contains
more than 50 but less than 100 animals. At the opening ceremony they have
to march in rows of 5 animals because either by rows of 2, 3, or 4 animal
one animal would always be missing from the last row. How many animals are
there in the team of the reptiles?
A.397. In the final race of Swimming the
organizers randomly picked a lane-number for each animal. What I can recall
from that race was that the frog did not swim in an even numbered lane,
neither did the seal nor the sea lion. The sea lion and the beaver did not start
from a lined starting stone. The turtle was on the left hand side of the
sea lion. Which animal started from which starting stone, if looking at
the starting stones, they started swimming away from you?
A.398. The four animals in the semifinals
of Boxing all have a one-digit number on their jerseys. The product of these
numbers is 120, the sum of these numbers is 16. What are these numbers?
A.399. The wrestlers have a circular shape
mat with a design shown on the diagram. Using red, yellow and blue, how
many different ways can the organizers color the mat if the neighboring
areas cannot have the same color, and those that can be rotated to get another
design are not considered to be different?
A.400. Just before the water polo game
a few seals are warming up in the pool. As many as there are in the pool
join them, but 8 of them leave. Soon again, as many as there are in the
pool join them, but 8 of them leave. The same thing happens one more time
and the pool becomes empty. How many seals were there in the pool originally?
Please, send your solutions to: