PROBLEM OF THE WEEK #14

Imagine that a new operational symbol for mathematics has been developed. This symbol is ~ and is represented by

Using this new symbol, find the value of (3 ~2) ~ 4.

Problem of the week #12

If the pattern below continues, what will be the 1002^nd letter?




MATHISFUNMATHISFUNMATHISFUN…

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?

Problem of the Week #4

I know that there are 18 animals in the barnyard. Some are chickens and some are cows. I counted 50 legs in all. How many of the animals are chickens and how many are cows?

Problem of the Week #2

Amy passed around a basket of strawberries to the girls at her party. Before the party she ate 5 strawberries and gave a friend 3. Eight girls arrived at the party. The first girl took a strawberry, the second girl took 3 strawberries, the third girl took 5 strawberries and so on. After the last girl took her strawberries, the basket was empty. How many strawberries were in the basket at the beginning?

Problem of the Week #1

A palindrome is a word or phrase that is spelled the same forward and backward. My favorite palindromes are "I, madam, I made radio. So I dared! Am I mad, am I?" and "Rats live on no evil star."

A palindrome number is one which would have the same value if it were turned front to back. The numbers 12,321 and 5,775 are examples.

Problem: Find a palindrome number x such that

where if A is the first digit of x, B is the second digit, and C is the third digit of x, then

and