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Grade 7

Multiplying 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) 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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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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Rolling with the Same Probability

Directions: Using the digits 1 to 9 at most one time each, fill in the boxes to complete this sentence: Rolling a sum of ___ on two ___-sided dice is the same probability as rolling a sum of ___ on two ___-sided dice. Source: Audrey Mendivil, Daniel Luevanos, and Robert Kaplinsky

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Two-Step Equations

Directions: Using the digits 1 to 9 at most one time each, fill in the boxes to find the greatest (or least) possible values for x. Source: Audrey Mendivil, Daniel Luevanos, and Robert Kaplinsky

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Circle Radius

Directions: What is a radius for a circle that has an area of 20 to 25 square feet? Source: Nathan Charlton

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Circles and Square

Directions: The diagram shows a square and four semicircles formed using each side of the square as a diameter. What fraction of the square is shaded? Source: Dylan Kane

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