6.NS

[Pages:34]Name _______________________________________ Date __________________ Class __________________

6.NS.1

SELECTED RESPONSE

Select the correct answer.

1.

You have

7 8

cup of sour cream to make

tacos. If each taco requires

1 16

cup of

sour cream, how many tacos can you

make?

7 128

taco

1 taco 14

14 tacos 15 tacos

2.

How many

1 2

-cup

servings

are

there

in

7 8

cup of peanut butter?

1

4

16

7

7 16

1

3 4

3. Carl wants to plant a garden that is

1

1 2

yards long and has an area of

3

1 2

square yards. How wide should the

garden be?

3 7

yard

2

1 3

yards

2 yards

5

1 4

yards

4.

Divide.

3 7

17 19

3

51

133

133

57

119

119

57

5.

Nima

uses

2 3

cup peanuts,

1 2

cup

cashews,

3 4

cup pecans, and some

raisins in a recipe that makes

2

1 4

cups of

trail mix. How many cups of peanuts are

there per cup of trail mix?

2

8

9

27

3

27

9

8

6. Jerry is tiling the wall behind his sink. The

tiles he's using are square with sides that

measure

1

3 4

inches. If the area of wall

he's

tiling

is

42

inches

long

and

29

3 4

inches high, how many tiles will he need?

17

24

408

1249

1 2

CONSTRUCTED RESPONSE

7. The following division is being performed using multiplication by the reciprocal. Find the missing numbers.

5 12

? 3

5 12

? 10

1 ?

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Original content Copyright ? by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.

Grade 6

13

Common Core Assessment Readiness

Name _______________________________________ Date __________________ Class __________________

8.

Ida

is

cutting

a

11 12

-foot

wooden

board

into

3 16

-foot

sections

to

do

some

detail

work on a model she is building. How

many

whole

3 16

-foot

sections

are

there

in

the 11 -foot wooden board? Explain your 12

answer and show your work.

10. Juan was presented with the following problem on a math test: "Divide 3 by 5 . 4 7 Show your work." His work is shown below. What was Juan's error? Correct his work and state the correct quotient.

5 7

3 4

5 7

4 3

20 21

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9.

Baruka

has

1 2

gallon

of

milk

left in the

fridge.

a.

How many

5 64

-gallon

(10-ounce)

servings of milk does she have left?

Show your work.

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b. If she drinks 10 ounces of milk a day, how many days of milk does she have left? Explain.

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11.

Consider the

division

statement

1 4

7 16

.

a. Describe a real world situation that might involve this expression.

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b. Find the quotient.

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c. Interpret the quotient in terms of the situation you described in part a.

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Original content Copyright ? by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.

Grade 6

14

Common Core Assessment Readiness

Name _______________________________________ Date __________________ Class __________________

6.NS.2

SELECTED RESPONSE

Select the correct answer. 1. Divide. 196 28 6 6 R27 7 R1 7

2. Divide. 98 308

3 3 R14 4 14 R3

3. An art teacher has 192 containers of paint for 17 students. If the teacher wants to provide each student with an equal number of containers, how many containers will be left over?

0

5

7

18

4. A local theater can seat 2,254 people. The seats are arranged into 98 rows. Each row has the same number of seats. How many seats are there in each row?

15

23

20

32

Select all correct answers.

5. The event staff for a local concert hall has 73 tickets to sell. If they sell all of the tickets at the same price, they will have $438. Which of the following people have enough money to buy a ticket?

Celia has $4.50.

Louis has $7.00.

Jan has $6.50.

Nicola has $6.00.

Chuck has $5.00.

CONSTRUCTED RESPONSE

6. A skyscraper with 102 floors is 1,326 feet tall. Each floor is the same height. How tall is each floor? Show your work.

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7. An apple orchard harvested 3,584 apples and separated them evenly into 112 bags. a. How many apples are in each bag?

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b. If 56 apples were placed in each bag instead, how many bags would be left over?

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8. A movie streaming service charges its customers $15 a month. Martina has $98 saved up. Will she have any money left over if she pays for the maximum amount of months she can afford? Explain.

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Original content Copyright ? by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.

Grade 6

15

Common Core Assessment Readiness

Name _______________________________________ Date __________________ Class __________________

9. Maurice says that 1079 62 is 16 with a remainder of 87. a. Without seeing his work, how can you tell Maurice divided incorrectly?

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b. Maurice is correct about this fact: 16 62 87 1079. Explain how you can use that fact to find the correct quotient and remainder for 1079 62 without actually dividing. Then find the quotient.

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10. The administrator of the school is dividing 342 students into 38 groups to do a teambuilding exercise. One of the guidance counselors says that the exercise will be most effective if there are 7 or fewer students in a group. a. Explain why the administrator's plan is not as effective as it can be.

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b. How many groups should there be? Will all the groups have the same number of students? Explain.

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11. a. Find 117 13, 118 13, and 119 13.

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b. Without dividing, what is the quotient of 120 13? Use the pattern you found in the first three problems to explain you answer.

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c. According to the pattern, 130 13 should be 9 with a remainder of 13. Explain why that is incorrect and find the correct quotient.

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Original content Copyright ? by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.

Grade 6

14

Common Core Assessment Readiness

Name _______________________________________ Date __________________ Class __________________

6.NS.3

SELECTED RESPONSE

Select the correct answer. 1. Add. 13.389 1.24 13.513 14.529 14.62 14.629

2. Subtract. 102.596 10.478 92.118 92.128 112.122 192.118

3. Multiply. 1.8762 4.2 7.88004 78.8004 788.004 7,880.04

4. Divide. 0.09975 0.007 1.425 14.25 142.5 1,425

Match each multiplication expression with its product.

____ 5. 2.986 1.26

A 376,236

____ 6. 0.2986 0.126

B 37,623.6

____ 7. 29.86 12.6

C 3,762.36

____ 8. 298.6 126 ____ 9. 2.986 12.6 ____ 10. 2,986 126 ____ 11. 298.6 12.6 ____ 12. 2.986 0.126

D 376.236 E 37.6236 F 3.76236 G 0.376236 H 0.0376236

CONSTRUCTED RESPONSE

13. Elsa has $45.78 in her savings account and $21.38 in her wallet. a. How much money does Elsa have?

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b. If Elsa puts half of the money in her wallet in the bank, how much money will she have in her savings account?

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Original content Copyright ? by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.

Grade 6

15

Common Core Assessment Readiness

Name _______________________________________ Date __________________ Class __________________

14. Mariposa needs a number of 0.3125-inch strips of wood for a model she is building. How many of these strips can she get from a 5.625-inch wooden board? Show your work.

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15. Jean-Paul incorrectly states that 4.2874 1.286 4.416. His work is shown below. Explain Jean-Paul's mistake and correct his work.

111

4. 2 8 7 4 1. 2 8 6

4. 4 1 6 0

17. Shen earns $9.60 per hour at his part-time job. Last month, he worked 7.25 hours the first week, 8.75 hours the second week, 5.5 hours the third week, and 6.75 hours the fourth week. Shen puts half of his paycheck in the bank every other week starting with the first. a. How much money did Shen earn each week?

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b. How much money did he have in the bank at the end of last month? Show your work.

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c. How much money did Shen have to spend from his 4 paychecks? Show your work.

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16. At a local gas station, regular gasoline sells for $3.499 per gallon, while premium gasoline sells for $3.879 per gallon. a. Find the difference in price between the two types of gasoline.

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b. How much does a person save on 15.25 gallons of gas by buying regular instead of premium? Show your work, and round your answer to the nearest whole cent.

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18. Pablo wants to buy a steak at the grocery store. He has two options. The first is 1.37 pounds and costs $9.59. The second is 1.75 pounds and costs $10.85. Which is the better buy? Explain.

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Original content Copyright ? by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.

Grade 6

19

Common Core Assessment Readiness

Name _______________________________________ Date __________________ Class __________________

6.NS.4

SELECTED RESPONSE

Select the correct answer. 1. Find the greatest common factor of 12 and 18. 1 2 3 6

2. Find the least common multiple of 8 and 10. 32 40 50 80

3. Find the greatest common factor of 7 and 11. 1 7 11 77

4. Find the least common multiple of 6 and 12. 6 12 24 72

5. Factor out the greatest common factor of the expression below using the distributive property. 90 60 30(3 2) 10(9 6) 15(6 4) 6(15 10)

CONSTRUCTED RESPONSE

6. Is it possible to use the distributive property to rewrite 85 99 as a product of a whole number greater than 1 and a sum of two whole numbers? Explain your answer.

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7. Charlie and Dasha are roommates, and they have a dog. If neither of them is home, they hire someone to watch the dog. Charlie must go on business trips every 6 months, while Dasha must go on business trips every 9 months. If they both just got back from business trips, how many months will it be before they need to hire someone to look after the dog again? Explain your answer.

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8. Salvatore is making some party favors for his birthday party. He has 96 pencils and 80 boxes of raisins. He wants each party favor to be the same, and he wants to use all of the pencils and raisins. Find the GCF of 96 and 80 to figure out how many party favors he can make. How many pencils and boxes of raisins will be in each one?

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Original content Copyright ? by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.

Grade 6

19

Common Core Assessment Readiness

Name _______________________________________ Date __________________ Class __________________

9. a. What is the LCM of two numbers when one number is a multiple of the other? Give an example.

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11. Consider the sum 36 45.

a. Use the distributive property to rewrite the sum as the product of a whole number other than 1 and a sum of two whole numbers.

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b. Write the sum as the product of a whole number different from the one you chose in part a and a sum of two whole numbers.

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b. What is the LCM of two numbers that have no common factors greater than 1? Give an example.

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c. Can this be done in more than two ways? Explain.

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10. a. Find the greatest common factor of 3 and 5.

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b. Find the greatest common factor of 11 and 13.

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c. Use your results from parts a and b to make a conjecture about the GCF of any pair of prime numbers.

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12. A baker has 72 vanilla cupcakes and 80 chocolate cupcakes. She wants to make platters for a party that have both kinds of cupcakes and the same total number of cupcakes on each platter. a. Can the baker make 10 platters of cupcakes with no cupcakes left over? Explain why or why not.

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b. What is the greatest number of platters she can make? How many of each kind of cupcake will be on each platter?

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Original content Copyright ? by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.

Grade 6

21

Common Core Assessment Readiness

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