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Geometry

Equilateral Triangle

Directions: Using the whole numbers 1 through 9, no more than one time each, 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

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The Triangle Inequality

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

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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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