Directions: Give at least two different examples where the quotient is undefined by filling in the boxes with whole numbers 0 through 9, using each number at most once for each example. Source: Daniel Luevanos

Read More »# Grade 7

## Product of Distributive Property

Directions: Decide if 30x – 12 could be a result of using the distributive property. If it is, find the possible combinations of factors whose product would be 30x – 12 (using integer coefficients and constants). Source: adapted from Nathan Charlton

Read More »## Multiply to Make -64

Directions: Find three numbers whose product is -64. You may use integers from -10 to 10. You may not use the same absolute value twice. Find all possible combinations. Source: Nathan Charlton and Daniel Martinez

Read More »## Subtracting Decimals (Middle School)

Directions: Make the smallest (or largest) difference by filling in the boxes using the whole numbers 1-9 no more than one time each. 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

Read More »## Dividing Two-Digit Numbers (Middle School)

Directions: Make the smallest (or largest) quotient by filling in the boxes using the whole numbers 1-9 no more than one time each 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

Read More »## Adding Two-Digit Numbers (Middle School)

Directions: Make the smallest (or largest) sum by filling in the boxes using the whole numbers 1-9 no more than one time each 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

Read More »## Subtracting Two-Digit Numbers (Middle School)

Directions: Make the smallest (or largest) difference by filling in the boxes using the whole numbers 1-9 no more than one time each 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

Read More »## Multiplying Two-Digit Numbers (Middle School)

Directions: Make the smallest (or largest) product by filling in the boxes using the whole numbers 1-9 no more than one time each 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

Read More »## Interpreting Percentages

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

Read More »## Rolling with the Same Probability

Directions: Fill in the blanks to complete this sentence using the whole numbers 1 through 9, no more than one time each. 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

Read More »