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Grade 6

Dividing Decimals (Middle School)

Directions: Using the digits 1 to 9 at most one time each, fill in the boxes to make the smallest (or largest) quotient. Note: This problem’s difficulty can be adjusted by altering the number of digits (boxes), picking smallest or largest, or by picking either a positive, negative, or both. Source: Robert Kaplinsky

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Multiplying Decimals (Middle School)

Directions: Using the digits 1 to 9 at most one time each, fill in the boxes to make the smallest (or largest) product. Note: This problem’s difficulty can be adjusted by altering the number of digits (boxes), picking smallest or largest, or by picking either a positive, negative, or both. Source: Robert Kaplinsky

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Dividing Two-Digit Numbers (Middle School)

Directions: Using the digits 1 to 9 at most one time each, fill in the boxes to make the smallest (or largest) quotient. Note: This problem’s difficulty can be adjusted by altering the number of digits (boxes), picking smallest or largest, or by picking either a positive, negative, or both. Source: Robert Kaplinsky

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Interpreting Percentages

Directions: What is the fewest number of people surveyed if exactly 93.6% of people completed a survey? Source: Robert Kaplinsky

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Order of Operations 2

Directions: Write an expression that is equivalent to 64 using each of the following numbers and symbols once in the expression: 7, 7, 7, 2, + , ÷, ( ) Source: Smarter Balanced Assessment Consortium

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Equations

Directions: Write three equations whose solution is x = 3. Source: Dan Meyer

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Order of Operations

Directions: Make the largest (or smallest) expression by using the digits 0-9, no more than one time each, in the boxes below.  Note: for 5th grade, remove the exponent to make it grade level appropriate. Source: Robert Kaplinsky with answer from Michael Fenton and his students.

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