Directions: Using the digits 1-9, at most one time each, complete the first three terms of the arithmetic and geometric sequences. What sequences result in the greatest sum of their second terms? (e.g. 3, 5, 7 and 2, 6, 18 would result in a sum of 5 + 6 = 11). What sequences result in the least sum of their …

Read More »# Tag Archives: Erick Lee

## Square Root Expression

Directions: Use the digits 1 to 9, at most one time each, to fill in the boxes to make the following expression as close to 0 as possible. Source: Erick Lee

Read More »## Perfect Squares

Directions: Use the digits 1- 9, at most one time each, to fill in the boxes to make each expression evaluate to a perfect square number. Extension/Challenge: What is the largest/smallest square number you can make? How many different perfect square numbers could be made? Source: Erick Lee

Read More »## Related Percentages

Directions: Using the digits 0 to 9 as many times as you want, fill in the boxes to create a correct number sentence. Source: Erick Lee

Read More »## Evaluating a Decimal Expression

Directions: Using the digits 0 to 9 at most one time each, fill in the boxes to make the value of this expression is as large as possible. Challenge: Try to make this expression as close to 30 as possible (for an added challenge, try to make this expression as close to 30 as possible using just the digits 1 …

Read More »## Equilateral Triangle

Directions: Using the digits 1 to 9, at most one time each, fill in the boxes to 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

Read More »## System of Inequalities

Directions: Fill each blank with a different integer such that the point (4,4) is within the solution region created by the constraints. Source: Erick Lee

Read More »## Creating Right Triangles 2

Directions: Using the digits 1 to 8 at most one time each, fill in the coordinates to create the vertices of a right triangle: A(__, __), B(__, __), C(__, __) Extension: Try to do this using only the digits 1 to 6. Source: Erick Lee

Read More »## Creating Rectangles 2

Directions: Using the digits 1 to 8 at most one time each, fill in the coordinates to create the vertices of a rectangle: A(__, __), B(__, __), C(__, __), D(__, __). Extension: What is the rectangle with the largest/smallest area/perimeter that you can find? Source: Erick Lee

Read More »## 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 …

Read More »