Directions: Use the whole numbers 1 through 10, at most one time each, and fill in the boxes to make the statement true

What coefficients allow you to simplify?

Source: Richard Hung

]]>Directions: Using the digits 1 through 9, at most one time each, to fill in the boxes to make the statement true.

What do fraction exponents represent?

There are many possible answers, one is (see image):

Source: Shaun Errichiello

]]>Directions: Using the whole numbers 1 through 10, at most one time each, fill in the boxes so that the sum is equal to 1 whole.

What three unit fractions add up to exactly 1 whole? What numbers would you use for the denominators? Why?

There are many solutions. Here are some possible solutions:

1/6 + 4/8 + 3/9

3/6 + 2/8 + 1/4

1/6 + 4/8 + 3/9

3/6 + 2/8 + 1/4

Source: Joshua Nelson

]]>Directions: Use the whole numbers 1 through 6, at most one time each, to fill in the boxes and make the largest (or smallest) number that rounds to 5

What number needs to go in the ones place?

largest: 5.46321

smallest: 4.51236

smallest: 4.51236

Source: Annie Forest

]]>Directions: Use the numbers 1 – 9, without repetition, to fill in the blanks and make the trigonometric equation below true:

Which radian angles result in sine values that are integers?

Source: Kevin Rees

]]>Directions: Fill in the blanks with digits to make the answer closer to 200 than 300.

What is one solution?

What other solutions can you find?

How many possible solutions are there?

How many possible solutions if you can’t use a digit more than once?

What is one number that is closer to 200 than 300? How can you get that number?

How can you keep track of your trials and answers so you can share them?

How might you organize your trials and answers to help you think about other solutions?

How can you keep track of your trials and answers so you can share them?

How might you organize your trials and answers to help you think about other solutions?

There are many possible answers. E.g. 432 – 199 = 233.

If digits can be repeated, there are 1225 possible ways.

If digits CANNOT be repeated, there are 700 possible ways.

If digits can be repeated, there are 1225 possible ways.

If digits CANNOT be repeated, there are 700 possible ways.

Source: Marilyn Burns, Graham Fletcher

]]>Directions: Find three fractions whose product is -3/16. You may use fractions between -1/9 to 1/9 no more than one time each.

Find at least 2 possible combinations.

What properties hold true for multiplying fractions?

Possible answer

e.g : (-1/2)(3/4)(1/2)

e.g : (-1/2)(3/4)(1/2)

Source: Al Oz

]]>Directions: Use the whole numbers 1 through 9, at most one time each, and fill in the boxes to create the smallest (or largest) whole number quotient.

What does the number on the left represent? What does the number on the right represent? What numbers should we use? Which numbers should we not use?

Smallest: 126 ÷ 9 = 14

Largest: 987 ÷ 1 = 987

Largest: 987 ÷ 1 = 987

Source: Ellen Metzger

]]>Directions: What is the least amount and greatest amount of surface area possible on a rectangular prism with a volume of 64 cubic inches? (Use whole numbers only)

How do you find the Surface Area of a Rectangular Prism?

minimum: 96 cubic inches (4 x 4 x 4)

maximum: 258 cubic inches (1 x 1 x 64)

maximum: 258 cubic inches (1 x 1 x 64)

Source: Marie Isaac, Katrin Marti, Ryan Turner

]]>Directions: Using the numbers 1 through 9, at most one time each, to fill in the boxes and make the biggest/smallest product.

Which numbers should we use? Which numbers should we not use?

Biggest: (9-2)(8-1)

Source: Nanette Johnson

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