Problem of the Week Archive
Congrats Chapter Competitors! – March 7, 2016
Problems
Congratulations to everyone who competed in the 2016 Chapter Competition! The competitions
have officially wrapped up. Let’s take one last look at some of this year’s challenging problems.
What is the least positive integer n such that n! is divisible by 1000?
[Sprint #24]
The sum of the first five terms of an arithmetic sequence is 90 less than the sum of the next five
terms. What is the absolute difference between two consecutive terms of this sequence? Express
your answer as a common fraction.
[Target #5]
D
E
C
B
A
F
Triangles ABC, ACD, ADE and AEF are isosceles right triangles as
shown. What is the value of AB/AF? Express your answer as a common
fraction.
[Team #2]