ABACUS International Math Challenge
for
5th and 6th graders
March, 2003
B.369. 96 mini buses took the fans to a
sport program. Each bus had the same number of fans on it. 12 buses got
a flat tire on the road, so every mobile bus had to take an extra passenger.
How many passengers were there on the busses originally?
B.370. Move one digit....to make it into
a correct statement
62 - 63 = 1
( 62 minus 63 = 1 )
Joe Connelly, Savage, MN USA
B.371. Using all of the digits 1, 2, 3,
4, and 5 only once for each number, you can make 120 different numbers.
If you put these numbers in an increasing order, what number is the 75th?
B.372. A car driver and a bicyclist start
going from the same place in the same direction at the same time. The car
travels 65 km every hour, 80 minutes later the driver turns around, and
another 20 minutes later he stops to take a break. The bicyclist also turns
around after 80 minutes and also takes a break after another 20 minutes.
The two rest areas are 50 km apart. How far can the bicyclist go in an hour
when riding?
B.373. Write addition, subtraction, multiplication
signs or nothing between the digits 123456789 so that the equality is true:
123456789=2003
by Nagy Zoltán, Kaposvár, Hungary
B.374. Can you cut up a regular triangle
into 2003 regular triangles?
B.375. In a heard of sheep there are two
sheep that limp on their front right legs, and there are three sheep that
limps on their front left legs. Exactly 4 sheep do not limp on their front
right legs, and exactly 5 sheep do not limp on their front left legs. At
least how many sheep are there in the heard?
B.376. How many 3-digit numbers have exactly
one digit 5 in them?
Please, send your solutions to: