Illustrative Math Grade 6 Unit 4 Review

Priya ran 1 1/2 miles today, and Tyler ran 3 3/4 miles. How many times the length of Priya's run was Tyler's run?

• 4/5 times as far

• 9/4 times as far

• 5/2 times as far

• 2/5 times as far

Select all equations that represent this question: Diego has run 2/3 of a race's distance. He has run 8 1/2 kilometers. How long is the whole race?

• 8 1/2 ÷ 2/3 =?

• 2/3 ÷ 8 1/2 =?

• 2/3 · ? = 8 1/2

• 8 1/2 ÷ ? = 2/3

• 8 1/2 x 3/2=?

Which statement shows correct reasoning for finding 12 ÷ 3/8?

• Multiply 12 by 8, then divide by 3.

• Multiply 12 by 3, then divide by 8.

• Multiply 3 by 8, then divide by 12.

• Multiply 12 by 8/3, then multiply by 3.

Divide.

• 8/3 or equivalent

• 60/6 or equivalent

• 11/3 or equivalent

• 33/16 or equivalent

Lin draws this tape diagram for 4 ÷ 3/4: Lin says that 4 ÷ 3/4 = 5 1/4 because there are 5 groups of 2/3 and 1/4 left. Do you agree with Lin? Explain your reasoning.

• Yes, I agree with Lin because 4 ÷ 3/4 = 5 1/4

• No, I don't agree with Lin because 4 ÷ 3/4 = 5 1/3

How many 1/4-inch cubes does it take to fill a box with width 2 1/4 inches, length 2 1/2 inches, and height 1 3/4 inches?

• 630 cubes (9 cubes fit along the width of the box, 10 cubes fit along the length, and 7 cubes fit vertically.) 9 x 10 x 7 = 630

  or 9 27/32 divided by 1/64= 630

• 315 cubes

  (9 cubes fit along the width of the box, 5 cubes fit along the length, and 7 cubes fit vertically.) 9 x 5 x 7 = 315

  or 9 27/32 divided by 1/4= 315

Elena has two aquariums, each shaped like a rectangular prism. For each question, explain or show your reasoning. One aquarium has a length of 7/2 feet, a width of 4/3 feet, and a height of 3/2 feet. What is the volume of the aquarium?

• 28/6 cubic feet or equivalent

• 7 or equivalent

• 3 1/9 cubic feet or equivalent

• 7 cubic feet or equivalent

Elena paints the back of the second aquarium. It has a height of 1 3/4 feet. The painted area is 5 5/6 square feet. What is its length?

• 3 1/3 ft or equivalent

• 10 5/24 ft or equivalent

• 3/10 ft or equivalent

• 7 7/12 ft or equivalent