Directions: Write an expression that is equivalent to 64 using each of the following numbers and symbols once in the expression: 7, 7, 7, 2, + , ÷, ( ) Source: Smarter Balanced Assessment Consortium

Read More »## Robert Kaplinsky

## Circles and Square

Directions: The diagram shows a square and four semicircles formed using each side of the square as a diameter. What fraction of the square is shaded? Source: Dylan Kane

Read More »## Pythagorean Shell

Directions: Find the length of side x in the diagram below Source: Dylan Kane

Read More »## Equidistant Points

Directions: How many points with two integer coordinates are 5 units away from (-2, 3)? Source: Dylan Kane

Read More »## Cone and Cylinder Volumes

Directions: A cone is twice as tall as a cylinder of the same radius. What is the ratio of their volumes? Source: Dylan Kane

Read More »## Longest Chord in a Circle

Directions: What is the longest chord in a circle that has an area of 25π square units? Source: Nanette Johnson

Read More »## Interior and Exterior Angles #3

Directions: If n is equal to the number of sides, when is the sum of the interior angles less than (or greater than or equal to) the sum of the exterior angles? Source: Ricardo Navarro, Gladys Velasquez, Bryan Aguilar, and Eddie Galaviz

Read More »## Interior and Exterior Angles #2

Directions: If n is equal to the number of sides on a regular polygon, what is the lowest value of n where each interior angle’s measure is less (or greater) than the exterior angle? Source: Ricardo Navarro, Gladys Velasquez, Bryan Aguilar, and Eddie Galaviz

Read More »## Interior and Exterior Angles #1

Directions: How can you tell what kind of regular polygon has the same measure for its interior and exterior angles? Source: Ricardo Navarro, Gladys Velasquez, Bryan Aguilar, and Eddie Galaviz

Read More »## Dot Card Counting

Directions: How can we figure out how many dots there are below? Source: Dan Meyer. Additional examples can be found here using a resource provided by Melissa Canham.

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