Grade 5

Add and Subtract Mixed Numbers

Directions: Using the digits 1 to 9, at most one time each, place a digit in each box to create an equation using addition and subtraction that equals 4. Source: Erik Almer

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Sums with the Same Digit (Decimal Addition)

Directions: Using the digits 0 to 9, at most one time each, place a digit in each box to find a sum where all the digits are the same. What is the greatest sum? What is the least sum? Source: Elizabeth Trochil

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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 greater than 100 cubic units. What’s the least volume? What’s the greatest volume? Source: Kari Frazier

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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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Equivalent Expressions with Fractions

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

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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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Volume of Rectangular Prisms 2

Directions: Using the digits 1 to 9, at most one time each, place a digit in each box to create two rectangular prisms where the larger one has the greatest possible volume and is double the volume of the other. Source: Joe Schwartz and Robert Kaplinsky

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Dividing Fractions 4

Directions: Using the digits 1 to 9, at most one time each, place a digit in each box to create an equation with the greatest possible quotient. Source: Robert Kaplinsky

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Dividing Fractions 3

Directions: Using the digits 1 to 9, at most one time each, place a digit in each box to create two true equations: one where the quotient is greater than 40 and one where it’s less than 40. You may reuse the same digits for each of the equations. Source: Robert Kaplinsky

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