Grade 7

Directions: What is the greatest volume you can make with a rectangular prism that has a surface area of 20 square units? Source: Robert Kaplinsky

Directions: Using the digits 1 to 9 at most one time each, fill in the boxes to find the largest (or smallest) possible values for x. Source: Chase Orton and Mark Goldstein

Directions: For each problem below, use the digits 1 to 9 at most one time each, to fill in the boxes to find the the greatest value for x that you can. Source:  Chase Orton and Mark Goldstein

Directions: If possible, find the radius of a circle where the area of the circle and the circumference of the circle are equal. Is there more than one possible answer? Source: Karen Bloom

Directions: Using the digits 1 to 9 at most one time each, fill in the boxes to make the equality true: Source: Bryan Anderson

Directions: Using the digits 1 to 9 at most one time each, fill in the boxes to make the statement true: Source: Bryan Anderson

Directions: Using the digits 1 to 9 at most one time each, fill in the boxes to make the equality true: Source: Bryan Anderson

Directions: The following prism is made up of 27 identical cubes. What is the greatest possible surface area the prism can have after removing 1 or more cubes from the outside? Source: Brian Lack

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: Using the digits 1 to 9 at most one time each, fill in the boxes to create a true inequality. Source: Bryan Anderson