AnswersFL-1205010-MJ Grade 6 Mathematics A-CRUnit Test

Fraction Division in the Real World Answers

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Joylin’s work to solve a math problem is shown below.Problem: Manny walked of the distance to the library in of an hour. If he walks at a constant rate, what is the total amount of time he will spend walking to the library?Step 1:Step 2:Step 3:Answer:What was Joylin’s first error?

Question illustration
A
She switched the divisor and the dividend when creating an equation to model the problem in step 1.
B
She replaced both the divisor and the dividend with their reciprocals when changing division to multiplication in step 2.
C
She multiplied the two numerators and the two denominators to generate her product in step 3.
D
She reduced the improper fraction incorrectly when getting her final answer.
2
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Which question is best modeled with a division expression?

A
How many ’s are in 48?
Option A
B
What is of 48?
Option B
C
What is the total of and 48?
Option C
D
How much more than is 48?
Option D
3

Twelve of the comic books in Rachel’s collection are in mint condition. If of her collection is in mint condition, how many comic books are in her collection?Which equation can be used to solve the problem above?

Question illustration
A
12 divided by one-sixth = n
Option A
B
One-sixth divided by 12 = n
Option B
C
n divided by one-sixth = 12
Option C
D
n divided by 12 = one-sixth
Option D
4

Nate’s work to solve a math problem is shown below.Problem: Leona traveled 25 miles in of an hour. What was her average speed in miles per hour?Step 1:Step 2:Answer:What was Nate’s first error?

Question illustration
A
He used division instead of multiplication to model the problem in step 1.
B
He switched the divisor and the dividend when creating an equation to model the problem in step 1.
C
He replaced the wrong term with its reciprocal in step 2.
D
He should not have changed division to multiplication in step 2.
5

Julia and Tanveer are solving the questions shown in the table.Julia’s and Tanveer’s Math ClassworkJulia’s QuestionTanveer’s QuestionA cooler holds 8 quarts of juice. How many quart servings of juice does the cooler hold?How many quarts of juice are needed to give 8 people each a quart serving of juice?Whose problem is best modeled by a division expression?

Question illustration
A
only Julia’s
B
only Tanveer’s
C
both Julia’s and Tanveer’s
D
neither Julia’s nor Tanveer’s
6

Mr. Cho asked his students whether the number of pint glasses that can be poured from a pitcher containing 4 pints of milk is always greater than the number of pints of milk in the pitcher.Which statement best answers this question?

Question illustration
A
Yes, because the milk is being divided into equal parts that are less than one pint, which results in more glasses than pints.
B
No, because dividing milk into smaller parts results in fewer total glasses.
C
Yes, because 4 is greater than .
Option C
D
No, because the size of the pitcher affects the number of glasses.
7

Mikhail believes he can use the multiplication expression to find the total number of pound servings of rice he can make from 6 pounds of rice. Which statement best explains why Mikhail is correct or incorrect?

Question illustration
A
Mikhail is correct in using a multiplication expression because the product of 6 and is an integer.
Option A
B
Mikhail is correct in using a multiplication expression because is the number of servings per pound.
Option B
C
Mikhail is incorrect in using a multiplication expression because the term “total” implies finding the sum of an addition expression.
D
Mikhail is incorrect in using a multiplication expression because the question asks how many equal-sized parts 6 can be divided into.
8

Jamaal read of a book in of an hour. At this rate, how long will it take him to read the entire book?

Question illustration
A
of an hour
Option A
B
of an hour
Option B
C
hours
Option C
D
hours
Option D
9

Which question is best modeled with a division expression?

A
How far can you travel using gallon of gas in a car that gets 18 miles per gallon?
Option A
B
How far can you travel in a car driving at an average rate of 52 miles per hour for hour?
Option B
C
How fast are you driving, in miles per hour, if you travel 18 miles in hour?
Option C
D
How fast are you driving if you travel at the speed of a car moving at 52 miles per hour?
Option D
10

Seven friends shared a pound bag of pistachios. If each person had the same amount of nuts, how many pounds did each person eat?

Question illustration
A
StartFraction 2 Over 21 EndFraction
Option A
B
StartFraction 3 Over 14 end Fraction
Option B
C
4 and two-thirds
Option C
D
10 and one-half
Option D

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