ABACUS International Math Challenge
for
5th and 6th graders
December, 2000
B.217. Find more than two consecutive integers
that have a sum of 11.
B.218. Find a positive whole number that
can be written as the product of six consecutive whole numbers, and also
as the product of three consecutive whole numbers.
B.219. Is there such a whole number that
starts with the digit 7, and it triples when you move its first digit to
the end of the number?
B.220. If I divide the year of the birth
of one of my ancestors by 11, 12, and 13, and I add the remainders, I get
33. In what year was my ancestor born?
B.221. How many different triangles have
whole number-long sides if none of the sides is longer than 4 units?
B.222. You have a 2, 4, 6, and a 7 units
long segment. Using any of these four segments as many times you want, how
many different triangles can you make?
B.223. Roll a regular die, with the numbers
1, 2, 3, 4, 5, and 6 on it, four times in a row, and add the four numbers.
Then repeat this many times. What number do you expect to appear as the
sum the most often?
B.224. Amanda received a calculator for
her birthday. Immediately, she started to add up the whole numbers starting
with 1. Soon she saw the number 3000 appearing on the screen, and she showed
it proudly to her older sister, Sarah. But Sarah ruined her happiness by
saying that Amanda forgot to add a number. What number is Sarah talking
about?
Please, send your solutions to: