ABACUS International Math Challenge
for
3rd and 4th graders
January, 2002
A.289. It takes Mowgli 40 minutes to walk
to the lake and come back on his elephant. When he rides his elephant in
both directions, it takes him 32 minutes. How long would the trip take Mowgli
if he walked both ways?
A.290. 14 little monkeys are playing on
a meadow. Out of them there are 4 monkeys who have 3 siblings playing with
them, there are 6 monkeys who have 2 siblings playing with them, there are
2 monkeys who have 1 sibling playing with them, and only 2 monkeys have
no siblings on the meadow. The little monkeys were brought to the meadow
by their mothers. How many monkey mothers are waiting for their little ones
at the edge of the meadow?
A.291. Snakes, frogs and parrots are talking
in the jungle. All together they have 8 heads and 14 legs. How many of each
animal are there in the group?
A.292. The monkey king gave a party. His
servants served 3 barrels of coconut cocktail, a total of 533 liters. After
they served 75 liters from the first barrel, 46 liters from the second barrel,
and 52 liters from the third barrel, all of the barrels had the same amount
of cocktail left in them. How many liters of cocktail was in each of the
barrels at the beginning of the party?
A.293. At the party, somebody took a piece
from the king's cake before they served it. One of the suspects, Maky, said
for his own defense: "Those, who deny that I did not eat the cake,
are not telling the truth." Did Maky eat the cake if he is telling
the truth?
A.294. Mowgli collected 3 different fruits
into a bag, a total of 30 pieces. Without looking he has to take out 19
pieces to be sure that he took out an orange. He would have to take out
24 pieces in order to be sure that he has a coconut. How many pieces does
he have to take out without looking to be sure that he took out at least
one piece from every fruit?
A.295. There is a big lake in the middle
of the jungle. The birds brought a beautiful waterlily and put it on the
lake. This flower doubles in size every day, and so it covers the whole
lake on the 8th day. What part of the lake was covered on the 6th day?
A.296. Mowgli is making a climbing net
for the little monkeys from a long liana. First he cuts half of the liana
and yet a half a meter, then he cuts the half of the rest of the liana and
yet another half meter, and then he cuts the half of the rest of the liana
and yet another half meter. He still has 8 meters of liana left. How long
was the liana originally?
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