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

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

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

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: Using the digits 0 to 9 at most one time each, fill in the boxes to create three equations that produce the exact same parabola. Source: Zack Miller

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

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

Directions: I rolled 2 dice and when I counted the pips (dots), there were 5 altogether. What could I have rolled on the dice? I rolled again and got 5 again, but I didn’t get the same numbers as before. What could my new roll be? Source: Brian Kelley

Directions: Using the digits 1 through 8 [You will use each number only once, except for one number that will be used twice in the same coordinate point. i.e.(1,1), (2,2), (3,3), (4,4), (5,5), (6,6), (7,7) or (8,8)], find three coordinate points that lie on the same line. Write the equation of the line represented by the three points and have …

Directions: Complete the table & graph below or here on Desmos to create a linear relation. Find the equation of the linear relation. Fill in the table again and again to create as many different linear relations as you can. What do the graphs have in common? What do the equations have in common? Source: Jon Orr