Tag Archives: DOK 3: Strategic Thinking

Volume of Rectangular Prisms

Directions: Using the digits 1 to 9 at most one time each, place a digit in each box to create a rectangular prism with a volume that is less than 100 cubic units. What’s the least volume? What’s the greatest volume? Source: Kari Frazier

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Product Close to 1,000

Directions: Using the digits 1 to 9 at most one time each, place a digit in each box to make the product as close to 1,000 as possible. Source: Ellen Metzger

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Equivalent Expressions with Fractions

Directions: Using the digits 0 to 9 at most one time each and choosing either multiplication/division or addition/subtraction, place a digit in each box to make a true statement. Source: Brian Errey

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Geometric Series

Directions: Using the digits 1 to 9 at most one time each, place a digit in each box to find the largest/smallest possible sum of the three terms in this finite geometric series? Source: Dana Harrington

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Binomial Expansion

Directions: Using the digits 1 to 9 at most one time each, place a digit in each box to find the largest or smallest possible coefficient of the third term in the expansion. Source: Dana Harrington

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Logarithms with Fractions

Directions: Use only the digits 1-9, each digit only once, to create a problem that has the smallest possible positive answer. Source: Noel Chang

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Exponential Powers

Directions: Using the digits 0 to 9 at most one time each, place a digit in each box to create a result with the greatest exponent. Source: Kjersti Oliver

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Mean of Frequency Table

Directions: Using the digits 1 to 9 at most one time each, place a digit in each box to create a frequency table that has the mean in the box at the top. Source: Phillip Haislip-Hansberry

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Volume of Three Rectangular Prisms

Directions: Using the digits 1 to 9 at most one time each, find the dimensions of three rectangular prisms so that their volumes are as close as possible. Note: diagram may not be drawn to scale. Source: Daniel Walker

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