Integer Function

Find the smallest integer for which an expression results in an integer.

Seven Envy

Use the same whole number and the operations +, -, x, and ÷ to produce a certain number.

Squares inside Squares

Find the four-digit number that fits the description.

Impossible Scores

What is the highest score below 100 that is impossible to score on a given dart board?

Five Alive

If you wrote a list of consecutive whole numbers, how many times would you write the digit 5?

Multiple Digits

Betty wrote a list of consecutive whole numbers starting with the number 1. If you know how many digits she used, can you determine the last number Betty wrote?

Aging Adults

If you know the product of two adults’ ages, can you determine the age of the younger adult?

Know Your ABC’s

Determine the product of abc under certain restrictions.

Sharing Cookies

In how many ways could Moe, Larry, and Curly share eight cookies?

Even Factors

Examine numbers whose factors are all even, except for the number 1.