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## Probability with Marbles

Directions: There are _____ red marbles and _____ blue marbles in Bag A. There are _____ red marbles and _____ green marbles in Bag B. Using the digits 1 to 9 at most one time each, fill in the boxes to make the probability of drawing a red marble from either bag the same. Extension: Change the problem such that …

## Probability with Spinners

Directions: Select three of the spinners from the image below (you may pick more than one of each) such that the total number of sectors in all three spinners totals 10. Select spinners so that the probability of all three spinners landing in the shaded sector is the smallest (or largest). Extension: How would the answer change if you could …

## Converting Fractions to Repeating Decimals

Directions: Using the digits 0 to 9, at most one time each, fill in the boxes so that the fraction equals the repeating decimal. Source: Daniel Luevanos

## Rational Number Computation

Directions: Using the integers -5 to 5, at most one time each, write an expression that will have the greatest (or least) absolute value. Source: Michael Wiernicki

## Two-Step Equations 3

Directions: Using the digits 1 to 9 at most one time each, fill in the boxes to find the largest (or smallest) possible values for the sum of x and y. Source: Erick Lee

## 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

## Maximizing Rectangular Prism Volume Versus Surface Area

Directions: What is the greatest volume you can make with a rectangular prism that has a surface area of 20 square units? Source: Robert Kaplinsky

## Two-Step Equations 2

Directions: Using the digits 1 to 9 at most one time each, fill in the boxes to find the largest (or smallest) possible values for x. Source: Chase Orton and Mark Goldstein

## Exploring Equations

Directions: For each problem below, use the digits 1 to 9 at most one time each, to fill in the boxes to find the the greatest value for x that you can. Source:  Chase Orton and Mark Goldstein

## 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