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## Divisibility

Directions: Create a three digit number using the whole numbers 0-9 no more than one time each. Try to create the number divisible by the greatest (or fewest) number of the following factors: 2, 3, 4, 5, 6, 8, 9 or 10. Source: Kelly Zinck

## Divisibility 2

Directions: What is the smallest number, greater than zero, that is divisible by 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10? Source: Brian Lack

## Biggest Rectangle

Directions: Find the largest area for the rectangle filling the boxes with numbers 1 through 9. You may use a digit at most once. Source: Nanette Johnson, Inspired by Mike Chamberlain’s Problem

## Square and Circle Area

Directions: Find the largest combined area for the rectangle and circle by filling the boxes with numbers 1 through 6. You may use a digit at most once. Source: Mike Chamberlain

## Volume

Directions: A rectangular prism has a volume of 144 cubic units and a base of 48 square units. What could the possible dimensions be? Source: Stem Savvy Girls

Directions: Create three equations that produce the exact same parabola by filling in the blanks with whole numbers 0 through 9, using each number at most once: Source: Zack Miller

## Domino Friends of Ten

Directions: I picked 3 dominoes out of a bag and they all had exactly 10 pips, but the same number was not on both sides of any of the dominoes. Which dominoes could I have picked? Is there more than one answer? Source: Brian Kelley

## Teen Number with 10 Frames

Directions: I have 2 ten-frames that have counters on them. One is full and one is not. What is the largest number I could make? What is the smallest number I could make? Source: Brian Kelley