High School: Geometry

How Many Squares?

Directions: How many squares are shown in the diagram below? Source:  This problem was found in the Fifth Edition Elementary Geometry for College Students by Alexander and Koeberlein

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Equation of the Biggest Circle

Directions: Using any integers, fill in the blanks to Fill in the blanks with integers so that: The equation’s graph is a circle. The circle has the biggest area The circle is completely inside the first quadrant The circle’s radius is a whole number 1 through 9. Source: Nanette Johnson

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Make the Biggest Circle

Directions: Using the digits 1 to 9 as many times as you want, fill in the boxes to make the biggest circle: Source: Robert Kaplinsky

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Is the Quadrilateral a Square?

Directions: What is the least number of geometric markings needed to demonstrate that a quadrilateral is a square? Source: A collaborative effort of Jose De La Torre and Nanette Johnson answer by Ricardo Navarro with help from Robert Kaplinsky

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