# Tag Archives: DOK 3: Strategic Thinking

## 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

## 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

## 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

## 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

## 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

## 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

## 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

## 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