ABACUS International Math Challenge
for
5th and 6th graders
November, 2006
B.553. John checked his watch and said
that it is Thursday, 7 am. What will the day and time be 2006 hours later?
B.554. There are 12 segments parallel or
perpendicular to each other on the diagram below. The lengths of at least
how many segments do you have to measure if you want to know the perimeter
of the shape?
B.555. An old woman said at the market
that she brought all her eggs in full boxes of 15 to the market. She sold
the eggs in groups of 6, and the remaining 5 eggs she took home at the end
of the day. Did she say the truth?
B.556. Find the smallest positive whole
number that defeats the following statement:
"If the number created from the last two digits of a whole number
n is divisible by 8, then n is divisible by 8."
B.557. Can you cut up a cube into 2006
identical smaller cubes?
B.558. Find all those 2-digit numbers in
which the sum of the digits drops to its third when adding 3 to the number.
B.559. The lengths of the edges of a rectangular
based column are three consecutive even numbers, and its volume is 100abcd2.
Find the four missing digits.
B.560. Write the numbers 2001, 2002, 2003,
2004, 2005, and 2006 into the circles so that the sum of the numbers on
a side of the triangle is always the same, and this sum is as great as possible.
