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Geometry

The Triangle Inequality

Directions: Use the digits 1 through 10 (without repeating any number) to complete the scenarios below: Source: Shaun Errichiello

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Area/Circumference of Circles

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

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Maximizing Surface Area

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

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Square and Circle Area

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

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Maximizing Rectangular Prism Volume

Directions: Using the whole number 1 through 9, at most one time each, fill in the boxes to list the dimensions of a rectangular prism with the greatest volume. Source: Robert Kaplinsky

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Circle Radius

Directions: What is a radius for a circle that has an area of 20 to 25 square feet? Source: Nathan Charlton

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