ABACUS International Math Challenge
for
3rd and 4th graders
January, 2003
A.353. Every day in Dragon land the Sun
rises at 3:33 and sets at 21:21. How long is the day time and how long is
the night time?
A.354. "How old are you?" -asked
Dundy the dragon king. This is what the king said: "If you were seven
times older than what you are now, you would still be only half of my age
now. And even then, you would still have to live 112 more years to reach
my age now." How old is the dragon king and how old is Dundy?
A.355. On the birthday party of the dragon
princess only those dragons may dance with the princess who can find out
what number the princess guessed: if you round the number to the nearest
tens you get 2000, the sum of the digits is odd, this odd number is not
divisible by 3. Which number did the princess guess?
A.356. Bubu is checking on the beautiful
water fountains in the dragon king's garden. The arrows indicate his trips
from one fountain to another. Where did Bubu start? Which fountain did he
visit last? Which fountain did he visit only once? Which fountain did he
visit twice?
A.357. The 7-headed dragons and the 3-headed
dragons have a meeting. There are a total of 29 dragons present with a total
of 131 heads. How many of each kind of dragons are there at the meeting?
A.358. Four dragon kids, Dundy, Bundy,
Richy, and Freddy, are playing on a seesaw. They experienced the following:
Dundy + Bundy = Richy and Freddy
Richy < Freddy
Dundy + Freddy = Bundy + Richy
Write down their names in an increasing order of their weights.
A.359. In Dragon land every female dragon,
who is at least one year old, gives birth to 5 baby dragons every year.
How many offsprings could one female dragon have the most in 3 years if
every dragon lives for at least 10 years?
A.360. The dragon king keeps golden coins
in 10 boxes in his cave. In the first box there are 3 coins, in the second
box there are 4 coins, and so on, in every box there is one more coin than
in the previous box. The king wants to give an equal number of these coins
to his most loyal servants. How many servants could he possible pick if
he wants to give away all of his coins?
Please, send your solutions to: