Grade 7

Directions: Using the digits 1 to 9, at most one time each, place a digit in each box to find the largest (or smallest) possible values for the sum of x and y. Source: Erick Lee

Directions: Using the integers 1 to 10, at most one time each (though 7 and 9 can still be used), place an integer in each box to complete the scenarios below: Source: Shaun Errichiello

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, place a digit in each box to find the largest (or smallest) possible values for x. Source: Chase Orton and Mark Goldstein

Directions: Using the digits 1 to 9, at most one time each, place a digit in each box to find the the greatest possible value for x. 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, place a digit in each box to make the equation true. Source: Bryan Anderson

Directions: Using the digits 1 to 9, at most one time each, place a digit in each box to make the statement true. Source: Bryan Anderson

Directions: Using the digits 1 to 9, at most one time each, place a digit in each box 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