Geometry

Directions: The perimeter of a triangle is 20 units. Using whole numbers, how many sets of side lengths can you find for this triangle? Source: Christina Ploeckelman

Directions: Using the digits 1-6, at most one time each, fill in the boxes to create the largest and smallest combined perimeter/circumference for the rectangle and circle. Source: Christin Smith

Directions: Using the digits 0-9, at most one time each, fill in the boxes so that one rectangle is a scaled drawing of the other. Source: Gian Cavaliere

Directions: Using the digits 0-9, 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 fill in the circles of the triangle. The sum of the numbers on each side of the triangle is equal to the length of that side. Arrange the numbers so that the triangle is an equilateral triangle. Source: Erick Lee

Directions: Use the integers 1 through 10, at most one time each (7 and 9 can still be used)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: 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: 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