PROBLEM OF THE WEEK #14

PROBLEM OF THE WEEK #12

What is the ones digit of 8²⁰⁰⁷ ?

PROBLEM OF THE WEEK #10

PROBLEM OF THE WEEK #8

Three apples and two pears cost 78¢. But two apples and three pears cost 82¢. What is the total cost of one apple and one pear?

Problem of the Week #6

Andy was on his way to a marble tournament when he met Bob. Andy’s bag of marbles was heavy, so he gave Bob one-half of his marbles plus 2. Then he met Alex and gave him one-fourth of his remaining marbles plus 5. Just before arriving at the tournament, he met Emily and gave her one-half of the marbles he had left. When he got to the tournament, he had 2 marbles left. How many marbles did he start with?

Problem of the Week #4

Suppose that you roll two triangular pyramids, each of which has faces numbered from 1 through 4. What are your chances of rolling a sum of 5?

Problem of the Week #2

If 40♦ represents a three-digit positive integer with a ones digit of ♦ and 1♦ is a two-digit positive integer with a ones digit of ♦,what value of ♦ makes the equation

40♦ ÷ 27 = 1♦ true?