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

Read More »

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

Read More »

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

Read More »

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

Read More »

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

Read More »

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

Read More »

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

Read More »

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

Read More »

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

Read More »