PROBLEM OF THE WEEK #10

The four-digit number A55B is divisible by 36.
What is the sum of A and B?

PROBLEM

OF THE

WEEK #8

The members of the school marching band wanted to arrange themselves into rows with exactly the same number of band members in each row. They tried rows of 2, 3, and 4, but there was always one band member left over. Finally they were able to arrange themselves into rows with exactly 5 in each row. What is the least number of members in the marching band?

Problem of the Week #6

The symbol used for a dollar in United States currency is most commonly drawn as an uppercase S with 1 vertical stroke through it. The stroke separates the S into 4 parts. Can you see the four parts?

Sometimes the dollar symbol is drawn as an uppercase S with 2 vertical strokes through it. These two strokes separate the S into 7 parts. Can you see the pattern that is forming?

Suppose that the symbol could be drawn with 100 vertical strokes. Into how many parts will the S be separated?