ABACUS International Math Challenge
for
3rd and 4th graders
September, 2007
A.585. It is Spring time in Fairy Land.
In the flower beds in front of the king's palace the flowers started blooming
one after another. How many flowers started blooming in 10 flower beds in
8 hours if 10 flowers started blooming in 2 flower beds in 4 hours?
A.586. In
Fairy School the students received a homework assignment to paint the edges
of a cube either red or blue, so that each side of the cube would have at
least one red edge on it. At least how many edges would you paint red so
that this request would be satisfied?
A.587. The next homework assignment was
to find four positive whole numbers so that their sum and their product
are the same. Help the little fairies!
A.588. In Fairy Land one year is 4 months,
one month is 6 weeks, and one week is 8 days. Fairy Starr is one and a half
years, 2 weeks and 7 days old. Her sister, Fairy Bella, is one year, 3 months
and a half week old. Who is older and by how many days?
A.589. On Fairy Land's main street the
houses are numbered by even numbers on the left hand side and by odd numbers
on the right hand side. What is the street number of the 30th house on the
right hand side if the fairies are superstition and therefore, they do not
use the digit 7?
A.590. The
Fairy King showed his palace to his guest. They stopped at a painting, and
the guest asked the king whose portrait it was. The king said: "The
father of the person on this painting is the only son of the answerer's
father." Who is on the painting?
A.591.The Fairy King asked his gardener
to plant trees in a triangular-shape part of his garden. He wanted one tree
in the first row, 2 trees in the second row, 3 trees in the 3rd row, and
so on for a total of 30 rows. The gardener planted the first 20 rows, and
his helper did the rest. Who planted more trees, the gardener or his helper?
A.592. In Fairy Preschool the square shape
playground was divided into 4 identical smaller squares for the 4 groups.
For fencing it around and to divide the sections completely they used 360
m of chicken wire. How many square meters is the area of each small square?
Please, send your solutions to: