name: class : assessment pack grade 6 · 2017. 1. 16. · ____ 28. ina is keeping a chart of the...

Name: ____________

Class : _______

Assessment pack

Grade 6

ASSESSMENT PACK GRADE 6

Multiple Choice Identify the choice that best completes the statement or answers the question.

____ 1. Evaluate for .

a.

b.

c. 5 d.

____ 2. What is the value of ?

a. 4 c.

b.

d.

____ 3. Divide. Express your answer in simplest form.

a.

c.

b.

d.


a.

c.

b.

d.


a.

c.

b.

d.

____ 6. You have cup of sour cream to make tacos. If each taco requires cup of sour cream, how many tacos

can you make? Use the visual model below.

a.

taco

b. taco

c. 14 tacos d. 15 tacos

____ 7. Carl wants to plant a garden that is yards long and has an area of square yards. How wide should he

make the garden?

a. yard

b. 2 yards c.

yards

d. yards

____ 8. A special camera film costs $8 per roll. If you spent $120 on this film, how many rolls did you buy? a. 12 c. 15 b. 14 d. 960

____ 9. Divide.

a. 3 b. 3 R14 c. 4 d. 14 R3

____ 10. 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?

a. 0 b. 5 c. 7 d. 18

____ 11. 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?

a. 15 b. 20 c. 23 d. 32

____ 12. Multiply . a. 6.10 c. 8.54 b. 7.32 d. 7.92

____ 13. Find the quotient: . a. 9 c. 10.4 b. 9.4 d. 12.3

____ 14. Find the quotient.

a. 0.92 c. 0.092 b. 9.2 d. 1.08695652174

____ 15. You have a pitcher that holds 39.3 oz of lemonade. If each glass holds 8.8 oz, how many glasses can you completely fill? a. 4 glasses c. 6 glasses b. 5 glasses d. 4.47 glasses

____ 16. Divide.

a. 1.425 b. 14.25 c. 142.5 d. 1,425

____ 17. Find the GCF. 21, 16 a. 7 c. 4 b. 3 d. 1

____ 18. Each student needs a pencil and an eraser to take a test. If pencils come 8 in a box and erasers come 10 in a bag, what is the least number of boxes and bags needed for 40 students to each have a pencil and an eraser? a. 5 boxes of pencils, 4 bags of erasers c. 2 boxes of pencils, 2 bags of erasers b. 4 boxes of pencils, 5 bags of erasers d. 8 boxes of pencils, 10 bags of erasers

____ 19. What is the least common multiple of 4 and 5? a. 4 c. 20 b. 5 d. 45

____ 20. What is the least common multiple of 3 and 8? a. 2 c. 24 b. 3 d. 48

____ 21. Which is the GCF of 18 and 54? a. 3 c. 18 b. 6 d. 27

____ 22. Find the least common multiple of 8 and 10.

a. 32 b. 40 c. 50 d. 80

____ 23. Find the greatest common factor of 7 and 11.

a. 1 b. 7 c. 11 d. 77

____ 24. Find the least common multiple of 6 and 12.

a. 6 b. 12 c. 24 d. 72

____ 25. Name a positive or negative number to represent an increase of 11 points in your math grade. a. – c. –11

b. +11 d. +

____ 26. Choose the situation that is least likely represented by . a. an increase of 13 items on a shelf c. a period of time 13 years ago b. a reduction of 13 centimeters d. a depth of 13 feet

____ 27. Which number represents being paid $364.50? a. c. b. d.

____ 28. Ina is keeping a chart of the number of flowers blooming on her plant. If the number of flowers blooming decreases, she writes a negative number. If the number of flowers blooming increases, she writes a positive number. On which day did the number of flowers blooming decrease by 4?

a. May 13 c. May 7 b. May 4 d. May 10

____ 29. Which situation would NOT be represented by a negative integer? a. a loss of $15 c. an increase of 2 pounds b. a decrease of 10 yards d. 6 inches below normal

____ 30. Car A and car B are stopped at a red light on a hill. Car A drives 137 feet downhill. Car B drives 172 feet uphill. Represent these situations as signed numbers.

a. , b. , c. , d. ,

____ 31. While on vacation in Australia, Brent and Giselle decide to explore the Great Barrier Reef. Brent decides to go snorkeling near the surface at a depth of 5 feet below sea level. Giselle is an experienced scuba diver and decides to explore a little deeper at 80 feet below sea level. Represent these situations as signed numbers.

a. , b. , c. , d. ,

____ 32. What is the opposite of the integer on the number line? Assume that each tick mark represents 1 unit.

a. c. 6 b. 3 d.

____ 33. Find the opposite of the integer –15. a. 15 c.

− 115

b. –15 d. 115

____ 34. What is the opposite of 12?

a. b.

c.

d. 12

____ 35. Where is on a number line?

a. Between and b. Between and 0 c. Between 0 and 1 d. Between 2 and 3

____ 36. Identify the point on the number line.

0 1 2 3 4 50–1–2–3–4–5

a.

b. c. 3.5 d. 4

____ 37. Order the integers 4, –6, 8, and –4 from least to greatest. a. 8, 4, –4, –6 c. 4, –6, 8, –4 b. –4, 8, 4, –6 d. –6, –4, 4, 8

____ 38. Which set of numbers is ordered from least to greatest? a.

, , 0.45 c.

, 0.45,

b. 0.45, ,

d. 0.45, ,

____ 39. Order the numbers from least to greatest.

a.

c.

b.

d.

____ 40. Order the decimals from least to greatest. 8.7, 8.47, 8.67. a. 8.7, 8.47, 8.67 c. 8.67, 8.47, 8.7 b. 8.47, 8.67, 8.7 d. 8.47, 8.7, 8.67

____ 41. Which number is the greatest? a.

c.

b.

d.

____ 42. Order the decimals 0.75, 0.73, 0.8 from least to greatest. a. 0.8, 0.73, 0.75 c. 0.75, 0.73, 0.8 b. 0.8, 0.75, 0.73 d. 0.73, 0.75, 0.8

____ 43. Which set of integers is in order from least to greatest? a. 6, 7, , 0 c. , , , 3 b. 8, 9, , d. 2, , 8,

____ 44. Which of the following is correct? a.

c.

b.

d.

____ 45. Which fraction has the least value? a.

c.

b.

d.

____ 46. Which number has the least value? a. 12.2 c. 12.5 b. 12.25 d. 12.52

____ 47. Compare –0.5 _?_ −710 . Write , or =. Use a number line to help you.

a. < b. > c. =

____ 48. Find the absolute value . a. b. 3

____ 49. Find . a. c. 1 b. 0 d. 4

____ 50. Simplify . a. 15 b.

____ 51. Which is NOT equal to the absolute value of ? a. c. 5 b. d.

____ 52. Which is NOT equal to the absolute value of ? a. c. 1 b. d.

____ 53. If and , where are and 1 relative to on a number line?

a. and 1 are both to the right of . b. and 1 are both to the left of . c. is to the right of and 1 is to the left of . d. is to the left of and 1 is to the right of .

____ 54. Which of the following pairs of numbers have the same absolute value?

a. , 0.1 b.

,

c. 0, 1 d. ,

____ 55. How do the numbers and 2 compare? How do their absolute values compare?

a. is greater than 2, but 2 has the greater absolute value. b. 2 is greater than , but has the greater absolute value. c. is greater than 2, and has the greater absolute value. d. 2 is greater than , and 2 has the greater absolute value.

____ 56. Which is greater, or ? Which number has the greater absolute value?

a. is greater than , but has the greater absolute value.

b. is greater than , but has the greater absolute value.

c. is greater than , and has the greater absolute value.

d. is greater than , and has the greater absolute value.

____ 57. Which ratio could be used to compare the number of triangles to the number of squares in the pattern?

a. 11:9 c. 9:20 b. 9:11 d. 11:20

____ 58. George has 3 cats and 2 dogs. What is the ratio of cats to the total number of pets? a. 2 to 5 c. 3 to 5 b. 3 to 2 d. 5 to 5

____ 59. A rectangular yard is 10 feet long by 7 feet wide. What is the ratio of the width of the yard to the perimeter of the yard?

a. 7 to 17 b. 7 to 34 c. 17 to 34 d. 34 to 7

____ 60. A man mixed 2 teaspoons of sugar into his large coffee but then added one more teaspoon of sugar because it was not sweet enough. What is the ratio of teaspoons of sugar to one large coffee?

a. 3:1 b. 2:1 c. 1:3 d. 1:2

____ 61. A car travels 360 miles on 18 gallons of gas. Write the unit rate. a. 15 miles per gallon c. 25 miles per gallon b. 20 miles per gallon d. 36 miles per gallon

____ 62. Bill drove 315 miles in 7 hours, Alisha drove 235 miles in 5 hours, and Joanne drove 414 miles in 9 hours. Which person drove at an average speed of 47 miles per hour?

a. Alisha b. Joanne c. Bill d. Both Joanne and Bill

____ 63. Which proportion has a solution of ? a.

c.

b.

d.

____ 64. Which pair of ratios is NOT proportional? a.

and c.

and

b. and

d. and

____ 65. Which pair of ratios is NOT proportional? a.

and c.

and

b. and

d. and

____ 66. What is the missing value in the proportion ?

a. 5 b. 10

____ 67. Which ratio is equivalent to ?

a.

c.

b.

d.

____ 68. Which is the best buy? a. $19.25 for 11 candy bars c. $17.30 for 10 candy bars b. $15.39 for 9 candy bars d. $22.62 for 13 candy bars

____ 69. A waffle recipe uses 3 cups of mix for 4 waffles. How much mix would you need to make 12 waffles? a. 12 c c. 8 c b. 9 c d. 6 c

____ 70. Find 30% of 70. a. 2100 c. 233.33 b. 21 d. 16.6

____ 71. 58% of 90 is what number? a. 5.22 c. 52.2 b. 48.8 d. 64.4

____ 72. Find 9% of 270. a. 2430 c. 24.3 b. 243.0 d. 2.43

____ 73. A DVD movie sells for $29 and the sales tax is 5.5%. What is the total cost of the movie to the nearest penny? a. $30.60 c. $29.95 b. $27.40 d. $30.45

____ 74. A car travels 304 miles on 16 gallons of gas. How far can the car travel on 5 gallons?

a. 3.2 miles

b. 60.8 miles c. 80 miles d. 95 miles

____ 75. What is 5% of 200?

a.

b. 10 c. 40 d. 1,000

____ 76. What is 120% of 50?

a. 2.4 b. 6 c. 60 d. 6,000

____ 77. A 15% tip on a diner bill is $2.55. How much is the bill?

a. $0.17 b. $0.38 c. $17.00 d. $38.25

____ 78. Name a positive or negative number to represent a drop of 10°F in the temperature. a. +10 c. – b. –10 d. +

____ 79. The table shows the change in four companies’ stock prices at the end of a day’s trading. Which company’s stock lost the most?

Company Change in Price King –5

Farley 1 Allendale 5

Tellers –3

a. Farley c. King b. Tellers d. Allendale

____ 80. Which number best represents the situation, “A plane descends 1,500 ft”? a. 1,500 c. b. 15 d.

____ 81. Which temperature is coldest? a. –13°F c. –20°F b. 20°F d. 13°F

____ 82. In Barrow, Alaska, the northernmost town in the United States, the record high temperature is , recorded on July 13, 1993. The record low is below zero, recorded on February 3, 1924. Represent these situations as signed numbers.

a. , b. , c. , d. ,

____ 83. Find a rational number between the two points shown.

0 1 2 3 4 5 6 7 8 9 10 110–1–2–3–4–5–6–7–8–9–10–11

a. –3 c. –10 b. 6 d. 5

____ 84. Graph the integer 6 and its opposite on a number line. a.

0 2 4 6 8 100–2–4–6–8–10

b.

0 2 4 6 8 100–2–4–6–8–10

c.

0 2 4 6 8 100–2–4–6–8–10

d.

0 2 4 6 8 100–2–4–6–8–10

____ 85. Find the opposite of the integer –15. a. 15 c.

− 115

b. –15 d. 115

____ 86. Describe the locations of 3 and with respect to 0 on a number line.

a. 3 is to the right of 0 and is to the right of 0. b. 3 is to the left of 0 and is to the left of 0. c. 3 is to the left of 0 and is to the right of 0. d. 3 is to the right of 0 and is to the left of 0.

____ 87. What is the opposite of 12?

a. b.

c.

d. 12

____ 88. What is |−13|? a. c. 1 b. 0 d. 13

____ 89. Find the absolute value . a. c. 1 b. 0 d. 47

____ 90. Simplify . a. 15 b.

____ 91. Simplify . a. 8 c.

b. d.

____ 92. Which is NOT equal to the absolute value of a. c. 8 b. d.

____ 93. Find the least common multiple (LCM) of 8 and 10. a. 24 c. 40 b. 42 d. 30

____ 94. Find the GCF of the numbers using factor trees. 36, 42 a. 2 c. 252 b. 84 d. 6

____ 95. A bag of hot dog buns contains 8 buns, and a package of hot dogs contains 10 hot dogs. How many packages of each are needed so that each of the 40 campers has hot dogs and buns with none left over? a. 5 bags of buns, 4 packages of hot dogs c. 2 bags of buns, 2 packages of hot dogs b. 8 bags of buns, 10 packages of hot dogs d. 4 bags of buns, 5 packages of hot dogs

____ 96. Which gives as a product of GCF and a sum? a. c. b. d.

____ 97. The sixth-grade class has 12 boys and 8 girls. The teacher wants to divide them into groups that have the same number of boys and the same number of girls. What is the greatest possible number of groups the teacher can make? a. 4 groups c. 6 groups b. 8 groups d. 2 groups

____ 98. Factor out the greatest common factor from this expression using the distributive property.

a. b. c. d.

____ 99. List the following numbers in order from least to greatest.

−35 , 73 , −

34 ,

75

a.

−34 , −35 ,

75 ,

73

b. −35 ,

73 , −

34 ,

75

c. −35 ,

75 , −

34 ,

73

d. 73 ,

75 , −

34 , −

35

____ 100. Order the numbers from least to greatest.

a.

c.

b.

d.

Short Answer

1. Divide. Express your answer in simplest form.

2. Explain how you can use multiplication to find the quotient . Then evaluate the expression.

3. Elsa has $45.78 in her savings account and $21.38 in her wallet.

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

account?

4. At the pet fair, there are 42 dogs and 35 cats. The pets must be split into small groups so that there are the same number of dogs in each group and the same number of cats in each group. What is the greatest number of groups that can be made so that each animal is in a group? Explain how you determined your answer.

5. Juanita opened a checking account and deposited $153. She wrote a check and her account balance became $0. Part A: Explain how to find the amount of the check Juanita wrote. What was the amount of the check? Part B: Explain the meaning of 0 in this situation.

6. What is the opposite of the integer ?

7. Ted and Randy are deep-sea divers. Ted is at a depth of 34 feet below sea level and Randy is at a depth of 41 feet below sea level. Part A: Graph these depths on a number line. Part B: Explain how the number line shows which diver is closer to the surface of the water.

8. Find the absolute value .

9. Name a positive or negative number to represent the situation. Write the absolute value:

10. Write the absolute value:

11. Last year, Mrs. Edwards’ retirement account gained money in two quarters and lost money in two quarters. (A quarter is three months long.) Quarter First Second Third Fourth Gain or Loss ($) –775 625 –925 1125 Part A: Write the values of the gains and losses in Mrs. Edwards’ account in order from least to greatest. Part B: Find the absolute values of the gains and losses in Mrs. Edwards’ account. Then write the absolute values in order from least to greatest.

12. Tell whether the rate is written as a unit rate. 140 calories in 1 hour

13. Find the unit rate. $35 for 4 CDs

14. Jasmine wrote the table of values. Determine whether the rate of change is constant or variable.

15. You buy a package of 3-T-shirts for $11.79. Write this rate as a unit rate.

16. 80% of what number is 44?

17. Write 2 real-world quantities that could be represented by the number “positive 25”. Explain.

18. Name a positive or negative number to represent the situation.

Haley’s checking account is overdrawn by $52.

19. Write an integer to represent a weight loss of 10 pounds.

20. Draw a number line and graph the integers 3, –6, and –12.

21. Death Valley, in California, is 282 feet below sea level. Parts of New Orleans are as much as 6.5 feet below sea level. Pike’s Peak, in Colorado, is as much as 14,110 feet above sea level. Part A: Represent each elevation as an integer. Part B: Use absolute values to find each distance from sea level. Part C: Determine which location is closest to sea level. Explain your answer.

22. Describe how to graph 547 on a number line.

23. There are 5 books in a series of books Mia and Toby are reading. Mia has read 134 of the books and Toby has

read 117 of the books. Who has read more of the series? Explain your answer.

24. Iris is making hats for the members of the school marching band. She can make 3 hats in hours. She

wants to know many hats she makes in 1 hour.

25. Find the quotient.

÷ 13

26. You are working as an assistant to an astronomer. The astronomer has asked you to answer the following

question. The star Vega is 24.5 light years from Earth. The star Sirius is 8.6 light years from Earth. How much farther away is Vega?

27. A class is attended by 18 girls and 24 boys. Write the ratio of girls to boys in the class as a fraction in lowest terms.

28. Write the ratio of the first number to the second number in three ways. 5, 2

29. Use the shapes pictured to write the ratio of squares to octagons.

30. An apartment complex has one- and two-bedroom apartments. Four out of every 15 apartments is a

one-bedroom apartment. Approximately what fraction of the apartments have only one bedroom?

31. Write the rate and unit rate. 609 kilometers in 7 hours

32. Find the unit rate. 15 feet in 50 hours

33. A set of trading cards sells for $12.00 before tax. After sales tax, it costs $12.60. What is the sales tax rate?

34. Jason has a skateboarding website with a banner advertisement that viewers can click on. Jason estimates that

the advertisement is clicked on 5 times for every 12 times his site is viewed. Website Views 12 24 Advertisement Clicks

5 20 25

Part A: Use Jason’s estimate to complete the table. Part B: Graph the information from the table on a coordinate plane. Explain how you made your graph. Part C: Predict the number of clicks on the advertisement if 84 people view the website. .

35. A certain pastry recipe calls for 3 parts flour, 2 parts fat, and 1 part liquid for a single serving. A baker is using 4 lbs of fat while following this recipe. Fill in the missing values in the table. Flour (lb)

Fat (lb)

Liquid (lb)

Recipe

3 2 1 1 4

36. Divide. Express your answer in simplest form.

37. The Jackson family bought a new car for $30,000. Because of a special sale, the price was reduced by a rebate

of $1,000. The Jacksons then made a down payment of $9,000. They paid the rest of the money over 36 months with an interest-free loan. What was the Jackson’s monthly car payment? Round your answer to the nearest cent.

38. Find the product: .

39. Find the quotient.

40. Find the quotient:

41. Evaluate .

42. Simplify .

43. Jorge is building a table out of boards that are 3.75 inches wide. He wants the table to be at least 36 inches

wide. How many boards does he need?

44. Andrew sold 45 tickets to the school play and Sara sold 40 tickets. What is the ratio of the number of tickets Andrew sold to the number of tickets Sara sold?

45. Use the table to write the ratio of green beans to peas.

Type of Vegetable Number on Plate Carrots 1

Peas 13 Peppers 29

Green beans 31

46. Use the table to write the ratio of soccer balls to the total number of balls in the store.

Type of Ball Number of Balls Baseballs 61 Softballs 10 Footballs 80

Soccer balls 33

47. Solve the proportion .

48. At a conference, there are 121 math teachers and 11 science teachers. Write the ratio of math teachers to

science teachers in simplest form.

49. A manufacturer can produce 1554 parts in 7 hours. What is the unit rate in parts per hour?

ASSESSMENT PACK GRADE 6 Answer Section

MULTIPLE CHOICE

1. ANS: D PTS: 1 REF: MLC10386 NAT: NT.CCSS.MTH.10.6.6.NS.1

TOP: Dividing Fractions KEY: fraction | expression | variable | evaluate | divide DOK: DOK 1

2. ANS: A PTS: 1 NAT: NT.CCSS.MTH.10.6.6.NS.1 DOK: DOK 2


4. ANS: B PTS: 1 NAT: NT.CCSS.MTH.10.6.6.NS.1 DOK: DOK 2

5. ANS: D PTS: 1 NAT: NT.CCSS.MTH.10.6.6.NS.1 DOK: DOK 2

6. ANS: C

The given diagram shows the whole first divided into 8 parts, with 7 shaded to indicate . It then shows each

of these parts divided into two parts. There are 14 shaded parts. So, . Thus, you can

make 14 tacos with cup of sour cream.

Feedback A Do not multiply the fractions. B You chose the wrong values for the dividend and divisor. C That’s correct! D Only consider the shaded parts of the diagram.

PTS: 1 NAT: NT.CCSS.MTH.10.6.6.NS.1 KEY: dividing fractions | visual models DOK: DOK 1

7. ANS: C Divide the area by the length.

Carl should make his garden yards wide.

Feedback A You divided the length by the area. B You subtracted the length from the area. C That’s correct! D You multiplied the length by the area.

PTS: 1 NAT: NT.CCSS.MTH.10.6.6.NS.1 KEY: dividing fractions | reciprocal

DOK: DOK 1

8. ANS: C PTS: 1 NAT: NT.CCSS.MTH.10.6.6.NS.2 DOK: DOK 2

9. ANS: B

Since 14 is less than 98, there is a remainder of 14. Feedback A 98 does not divide 308 evenly. B That’s correct! C 98 does not divide 308 evenly. D Check that you have the correct quotient and remainder.

PTS: 1 NAT: NT.CCSS.MTH.10.6.6.NS.2 KEY: division | division algorithm | multi-digit numbers | whole numbers | remainder DOK: DOK 1

10. ANS: B Divide the number of containers of paint by the number of students.

Since 5 is less than 17, there is a remainder of 5. The quotient, 11, is the number of containers of paint each student gets. The remainder, 5, is the number of containers left over. Feedback A 17 does not divide 192 evenly. B That’s correct! C Check your calculations. D If there were 18 containers of paint left, each of the 17 students could get an additional

container.

PTS: 1 NAT: NT.CCSS.MTH.10.6.6.NS.2 KEY: division | division algorithm | multi-digit numbers | whole numbers | remainder DOK: DOK 2

11. ANS: C

Feedback A Check your calculations. B Double check the second digit of your quotient. C That’s correct! D Check your calculations.

PTS: 1 NAT: NT.CCSS.MTH.10.6.6.NS.2 KEY: division | division algorithm | multi-digit numbers | whole numbers DOK: DOK 1



14. ANS: A PTS: 1 REF: 8f6bd937-9631-11dd-8a40-001185f11039 OBJ: Dividing a Decimal by a Decimal NAT: NT.CCSS.MTH.10.6.6.NS.3 LOC: MTH.C.04.07.04.006 TOP: Dividing by Decimals KEY: decimal | division DOK: DOK 1

15. ANS: A PTS: 1 REF: 8f70c503-9631-11dd-8a40-001185f11039 OBJ: Application NAT: NT.CCSS.MTH.10.6.6.NS.3 LOC: MTH.C.04.07.04.006 TOP: Interpreting the Quotient KEY: decimal | division DOK: DOK 2

16. ANS: B Begin by moving the decimal point three places to the right to make the divisor a whole number.

Divide as with whole numbers. Place the decimal point in the quotient directly above the decimal point in the dividend.

Feedback A Check your placement of the decimal point. B That’s correct! C Check your placement of the decimal point. D Check your placement of the decimal point.

PTS: 1 NAT: NT.CCSS.MTH.10.6.6.NS.3 KEY: division | multi-digit decimals | decimal | dividing decimals DOK: DOK 1

17. ANS: D PTS: 1 REF: MLC10989 NAT: NT.CCSS.MTH.10.6.6.NS.4 TOP: Greatest Common Factor KEY: whole | GCF DOK: DOK 1

18. ANS: A PTS: 1 REF: 90020e59-9631-11dd-8a40-001185f11039 OBJ: Application NAT: NT.CCSS.MTH.10.6.6.NS.4 LOC: MTH.C.01.02.03.012 TOP: Least Common Multiple KEY: LCM | least common multiple DOK: DOK 2




22. ANS: B List the first several multiples of 8 and 10 in order from least to greatest. 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, ... 10: 10, 20, 30, 40, 50, ... The least common multiple is the smallest multiple that appears in both lists, 40. Feedback A This is a multiple of 8, but not of 10. B That’s correct! C This is a multiple of 10, but not of 8. D Multiplying the numbers does produce a common multiple, but it does not always

produce the least common multiple.

PTS: 1 NAT: NT.CCSS.MTH.10.6.6.NS.4 KEY: lcm | least common multiple DOK: DOK 1

23. ANS: A List the factors of 7 and 11 in order from least to greatest. 7: 1, 7 11: 1, 11 The greatest common factor is the largest factor that appears in both lists, 1. Feedback A That’s correct! B This is a factor of 7, but not of 11. C This is a factor of 11, but not of 7.

D This is the least common multiple of 7 and 11.

PTS: 1 NAT: NT.CCSS.MTH.10.6.6.NS.4 KEY: GCF | greatest common factor DOK: DOK 1

24. ANS: B List the first several multiples of 6 and 12 in order from least to greatest. 6: 6, 12, 18, 24, ... 12: 12, 24, ... The least common multiple is the smallest multiple that appears in both lists, 12. Feedback A 6 cannot be a multiple of 12 because it is less than 12. B That’s correct! C This is a common multiple, but it is not the least common multiple. D Multiplying the numbers does produce a common multiple, but it does not always

produce the least common multiple.

PTS: 1 NAT: NT.CCSS.MTH.10.6.6.NS.4 KEY: lcm | least common multiple DOK: DOK 1

25. ANS: B PTS: 1 REF: 9327ee75-9631-11dd-8a40-001185f11039 OBJ: Identifying Positive and Negative Numbers in the Real World NAT: NT.CCSS.MTH.10.6.6.NS.5 LOC: MTH.C.06.02.001 | MTH.C.06.02.003 TOP: Integers and Absolute Value KEY: positive | negative | integer DOK: DOK 1

26. ANS: A PTS: 1 REF: 932f158f-9631-11dd-8a40-001185f11039 NAT: NT.CCSS.MTH.10.6.6.NS.5 TOP: Integers and Absolute Value DOK: DOK 2


28. ANS: A PTS: 1 REF: SCT40050 NAT: NT.CCSS.MTH.10.6.6.NS.5 TOP: Comparing Integers KEY: negative | integer | word DOK: DOK 2

29. ANS: C PTS: 1 REF: M1.11.EN.ST.01 NAT: NT.CCSS.MTH.10.6.6.NS.5 KEY: integer | negative integer DOK: DOK 2

30. ANS: A Car A moves downhill, so it is represented by a negative number, . Car B moves uphill, so it is represented by a positive number, 172. Feedback A That’s correct! B Consider the position of each car relative to where it started. C Consider the position of each car relative to where it started. D Consider the position of each car relative to where it started.

PTS: 1 NAT: NT.CCSS.MTH.10.6.6.NS.5 KEY: positive numbers | negative numbers | signed numbers DOK: DOK 1

31. ANS: B

Since Brent and Giselle are both below sea level, both depths can be represented by negative numbers, and . Feedback A Consider that both Brent and Giselle are below sea level. B That’s correct! C Consider that both Brent and Giselle are below sea level. D Consider that both Brent and Giselle are below sea level.

PTS: 1 NAT: NT.CCSS.MTH.10.6.6.NS.5 KEY: negative numbers | signed numbers DOK: DOK 1

32. ANS: B PTS: 1 NAT: NT.CCSS.MTH.10.6.6.NS.6.a DOK: DOK 2

33. ANS: A PTS: 1 REF: MLC10584 NAT: NT.CCSS.MTH.10.6.6.NS.6.a TOP: Comparing Integers KEY: additive inverse | integer DOK: DOK 1

34. ANS: A The opposite of 12 is the number that is 12 units away from 0 on a number line in the opposite direction.

0 3 6 9 120–3–6–9–12

The opposite of 12 is . Feedback A That’s correct! B This is the opposite of the reciprocal of 12. C This is the reciprocal of 12. D Only 0 is its own opposite.

PTS: 1 NAT: NT.CCSS.MTH.10.6.6.NS.6.a KEY: opposites DOK: DOK 1

35. ANS: C

Since is greater than 0 and less than 1, it is located between 0 and 1 on a number line.

Feedback A

Notice that is positive.

B Notice that is positive.

C That’s correct! D Recall that the denominator represents the whole, and the numerator represents the

number of parts of the whole.

PTS: 1 NAT: NT.CCSS.MTH.10.6.6.NS.6.c KEY: rational numbers | number lines DOK: DOK 1

36. ANS: B The point is halfway between and .

0 1 2 3 4 50–1–2–3–4–5

–3.5

Feedback A Notice that the distance between each tick mark is 0.5 unit. B That’s correct! C Notice the point is to the left of 0 on the number line. D Notice the point is to the left of 0 on the number line.

PTS: 1 NAT: NT.CCSS.MTH.10.6.6.NS.6.c KEY: rational numbers | number lines DOK: DOK 1

37. ANS: D PTS: 1 REF: 933177ed-9631-11dd-8a40-001185f11039 OBJ: Ordering Integers NAT: NT.CCSS.MTH.10.6.6.NS.6.c | NT.CCSS.MTH.10.6.6.NS.7 LOC: MTH.P.01.01.004 | MTH.C.06.002 TOP: Comparing and Ordering Integers KEY: integer | order DOK: DOK 2

38. ANS: C PTS: 1 NAT: NT.CCSS.MTH.10.6.6.NS.7 | NT.CCSS.MTH.10.7.7.EE.3 DOK: DOK 2






44. ANS: C PTS: 1 NAT: NT.CCSS.MTH.10.6.6.NS.7 | NT.CCSS.MTH.10.7.7.EE.3 DOK: DOK 2



47. ANS: B PTS: 1 REF: 933663b9-9631-11dd-8a40-001185f11039 OBJ: Comparing Negative Rational Numbers NAT: NT.CCSS.MTH.10.6.6.NS.7.a LOC: MTH.C.01.03.06.02.001 | MTH.C.06.001 TOP: Negative Rational Numbers KEY: compare | fraction | negative DOK: DOK 2

48. ANS: B PTS: 1 NAT: NT.CCSS.MTH.10.6.6.NS.7.c DOK: DOK 1

49. ANS: D PTS: 1 NAT: NT.CCSS.MTH.10.6.6.NS.7.c DOK: DOK 1




53. ANS: A The symbol means “is greater than.” The inequalities and mean “ is greater than ” and “1 is greater than ,” respectively. If a number is greater than another number, it is to the right of that number on a number line. Thus, and 1 are both to the right of on a number line. Feedback A That’s correct! B Notice that and 1 are both greater than . C Notice that 1 is greater than . D Notice that is greater than .

PTS: 1 NAT: NT.CCSS.MTH.10.6.6.NS.7.a KEY: inequality | inequalities | relative position on a number line | position on a number line | greater than | integers DOK: DOK 1

54. ANS: B

The absolute value of a number is its distance from zero on a number line. Notice that and are both

unit from zero on a number line. Thus, .

Feedback A The absolute value of a number is its distance from zero on a number line. B That’s correct! C The absolute value of a number is its distance from zero on a number line. D The absolute value of a number is its distance from zero on a number line.

PTS: 1 NAT: NT.CCSS.MTH.10.6.6.NS.7.c KEY: interpret absolute value | absolute value DOK: DOK 1

55. ANS: B 2 is greater than because 2 is to the right of on a number line.

Since 3 is to the right of 2 on a number line, has the greater absolute value. Feedback A Consider the relative positions of the two numbers on a number line. The absolute value

of a number is its distance from 0 on a number line. B That’s correct! C Consider the relative positions of the two numbers on a number line. D The absolute value of a number is its distance from 0 on a number line.

PTS: 1 NAT: NT.CCSS.MTH.10.6.6.NS.7.d KEY: comparing absolute values | comparing numbers DOK: DOK 1

56. ANS: D

is greater than because is to the right of on a number line.

Since is to the right of on a number line, has the greater absolute value.

Feedback A Consider the relative positions of the two numbers on a number line. B The absolute value of a number is its distance from 0 on a number line. C Consider the relative positions of the two numbers on a number line. The absolute value

of a number is its distance from 0 on a number line. D That’s correct!

PTS: 1 NAT: NT.CCSS.MTH.10.6.6.NS.7.d KEY: comparing absolute values | comparing numbers DOK: DOK 1

57. ANS: B PTS: 1 NAT: NT.CCSS.MTH.10.6.6.RP.1 DOK: DOK 2

58. ANS: C PTS: 1 NAT: NT.CCSS.MTH.10.6.6.RP.1 DOK: DOK 2

59. ANS: B The perimeter is . The ratio of the width to the perimeter is 7 to 34. Feedback A The perimeter of the yard is not 17 feet. B That’s correct! C The width of the yard is not 17 feet. D The order matters in a ratio. This is the ratio of the perimeter to the width.

PTS: 1 NAT: NT.CCSS.MTH.10.6.6.RP.1 KEY: ratio DOK: DOK 2

60. ANS: A The ratio is teaspoons to 1 large coffee. Feedback A That’s correct! B Make sure you find the total number of teaspoons of sugar. C The order is important when writing a ratio. The desired ratio is the ratio of teaspoons of

sugar to cups of coffee. D Make sure you find the total number of teaspoons of sugar and pay attention to the order

of the quantities in the ratio.

PTS: 1 NAT: NT.CCSS.MTH.10.6.6.RP.1 KEY: ratio DOK: DOK 1

61. ANS: B PTS: 1 REF: M1.08.EN.ST.02 NAT: NT.CCSS.MTH.10.6.6.RP.2 KEY: unit rate | rate DOK: DOK 1

62. ANS: A

Bill drove miles in one hour. Alisha drove miles in one hour. Joanne drove

miles in one hour. Therefore, Alisha is the only person who drove an average of 47 miles in one hour. Feedback A That’s correct! B The unit rate for the person you selected is not 47 miles per hour. Check your

calculations. C The unit rate for the person you selected is not 47 miles per hour. Check your

calculations. D Joanne and Bill did not drive at the same average speed.

PTS: 1 NAT: NT.CCSS.MTH.10.6.6.RP.2 KEY: ratio | unit rate DOK: DOK 1

63. ANS: C PTS: 1 NAT: NT.CCSS.MTH.10.6.6.RP.3 DOK: DOK 2


65. ANS: D PTS: 1 NAT: NT.CCSS.MTH.10.6.6.RP.3 DOK: DOK 2



68. ANS: B PTS: 1 REF: HMBM0454 NAT: NT.CCSS.MTH.10.6.6.RP.3.b TOP: Rates KEY: rate DOK: DOK 1

69. ANS: B PTS: 1 NAT: NT.CCSS.MTH.10.6.6.RP.3.b DOK: DOK 2

70. ANS: B PTS: 1 REF: 96c2a28f-9631-11dd-8a40-001185f11039 OBJ: Using Proportions to Find Percents of Numbers NAT: NT.CCSS.MTH.10.6.6.RP.3.c LOC: MTH.C.09.05.005 TOP: Percent of a Number KEY: percent | multiplication DOK: DOK 1

71. ANS: C PTS: 1 NAT: NT.CCSS.MTH.10.6.6.RP.3.c DOK: DOK 1

72. ANS: C PTS: 1 NAT: NT.CCSS.MTH.10.6.6.RP.3.c DOK: DOK 1

73. ANS: A PTS: 1 NAT: NT.CCSS.MTH.10.6.6.RP.3.c | NT.CCSS.MTH.10.7.7.EE.3 DOK: DOK 2

74. ANS: D

The car travels 19 miles per gallon of gas.

The car can travel 95 miles on 5 gallons of gas.

Feedback A First find the unit rate in miles per gallon. B The car cannot travel 304 miles on 5 gallons of gas. C First find the unit rate in miles per gallon. D That’s correct!

PTS: 1 NAT: NT.CCSS.MTH.10.6.6.RP.3.b | NT.CCSS.MTH.10.6.6.RP.3 | NT.CCSS.MTH.10.6.6.RP.2 KEY: unit rate DOK: DOK 1

75. ANS: B To find 5% of 200, first rewrite 5% as a fraction with denominator 100.

Now multiply this rate and 200, . So, 5% of 200 is 10.

Feedback A Multiply the amount by the percent instead of dividing the percent by the amount. B That’s correct! C Multiply by the percent instead of dividing the amount by the percent. D Change the percent to a fraction or decimal before multiplying.

PTS: 1 NAT: NT.CCSS.MTH.10.6.6.RP.3.c | NT.CCSS.MTH.10.6.6.RP.3 KEY: percent DOK: DOK 1

76. ANS: C To find 120% of 50, first rewrite 120% as a fraction with denominator 100.

Now multiply this rate and 50, . So, 120% of 50 is 60.

Feedback A Multiply by the percent instead of dividing. B Double check how you converted the percent into a fraction or decimal. C That’s correct! D Change the percent to a fraction or decimal before multiplying.

PTS: 1 NAT: NT.CCSS.MTH.10.6.6.RP.3.c | NT.CCSS.MTH.10.6.6.RP.3 KEY: percent DOK: DOK 1

77. ANS: C To find the amount of the bill, first rewrite the percent as a fraction with denominator 100.

Use the fact that percent times the whole equals the part. Write an equation using for the cost of the bill,

.

Solve for .

Thus, the bill is $17.00. Feedback A Change the percent to a fraction or decimal before calculating the bill. B The percent of the tip times the bill gives the amount of the tip. C That’s correct! D Change the percent to a fraction or decimal before calculating the bill.

PTS: 1 NAT: NT.CCSS.MTH.10.6.6.RP.3.c | NT.CCSS.MTH.10.6.6.RP.3 KEY: percent | tip on a bill DOK: DOK 1

78. ANS: B PTS: 1 REF: 93281585-9631-11dd-8a40-001185f11039 OBJ: Identifying Positive and Negative Numbers in the Real World NAT: NT.CCSS.MTH.10.6.6.NS.5 LOC: MTH.C.06.02.001 | MTH.C.06.02.003 TOP: Integers and Absolute Value KEY: positive | negative | integer DOK: DOK 1

79. ANS: C PTS: 1 REF: 94cbb625-9631-11dd-8a40-001185f11039 NAT: NT.CCSS.MTH.10.6.6.NS.5 LOC: MTH.C.13.03.01.02.001 | MTH.C.06.001 | MTH.C.08.005 TOP: Integers KEY: integer | compare | order DOK: DOK 2


81. ANS: C PTS: 1 REF: SCA40055 NAT: NT.CCSS.MTH.10.6.6.NS.5 TOP: Comparing Integers KEY: compare | temperature | negative | integer DOK: DOK 1

82. ANS: C The given record high is above zero. Thus, it is represented using a positive number, . The given record low is below zero. Thus, it is represented using a negative number, . Feedback A Consider whether the temperatures are above or below zero. B Consider whether the temperatures are above or below zero. C That’s correct! D Consider whether the temperatures are above or below zero.

PTS: 1 NAT: NT.CCSS.MTH.10.6.6.NS.5 KEY: positive numbers | negative numbers | signed numbers DOK: DOK 1 NOT: low/high temp: http://en.wikipedia.org/wiki/Barrow,_Alaska

83. ANS: A PTS: 1 NAT: NT.CCSS.MTH.10.6.6.NS.6 KEY: rational number | number line DOK: DOK 1

84. ANS: C PTS: 2 REF: 932a77e3-9631-11dd-8a40-001185f11039 OBJ: Graphing Integers NAT: NT.CCSS.MTH.10.6.6.NS.6.a LOC: MTH.C.01.03.10.002 | MTH.C.08.005 TOP: Integers and Absolute Value KEY: integer | graph DOK: DOK 2

85. ANS: A PTS: 1 REF: MLC10584 NAT: NT.CCSS.MTH.10.6.6.NS.6.a TOP: Comparing Integers KEY: additive inverse | integer DOK: DOK 1

86. ANS: D 3 and are graphed on the number line below. Notice that 3 is to the right of 0 and is to the left of 0. Since they are opposites, they must be on opposite sides of 0.

0 1 2 3 4 50–1–2–3–4–5

Feedback A Consider that 3 and are opposites. B Consider that 3 and are opposites. C Examine a number line to find the answer. D That’s correct!

PTS: 1 NAT: NT.CCSS.MTH.10.6.6.NS.6.a KEY: opposites | number lines DOK: DOK 1

87. ANS: A The opposite of 12 is the number that is 12 units away from 0 on a number line in the opposite direction.

0 3 6 9 120–3–6–9–12

The opposite of 12 is . Feedback A That’s correct! B This is the opposite of the reciprocal of 12. C This is the reciprocal of 12. D Only 0 is its own opposite.

PTS: 1 NAT: NT.CCSS.MTH.10.6.6.NS.6.a KEY: opposites DOK: DOK 1






93. ANS: C PTS: 1 REF: 90023569-9631-11dd-8a40-001185f11039 OBJ: Using Multiples to Find the LCM NAT: NT.CCSS.MTH.10.6.6.NS.4 LOC: MTH.C.01.02.03.012 TOP: Least Common Multiple KEY: LCM | least common multiple DOK: DOK 2

94. ANS: D PTS: 1 REF: MLC10231 NAT: NT.CCSS.MTH.10.6.6.NS.4 TOP: Greatest Common Factor KEY: greatest common factor | GCF DOK: DOK 1

95. ANS: A PTS: 1 REF: 8fffabfb-9631-11dd-8a40-001185f11039 OBJ: Application NAT: NT.CCSS.MTH.10.6.6.NS.4 LOC: MTH.C.01.02.03.012 TOP: Least Common Multiple KEY: LCM | least common multiple

DOK: DOK 2


97. ANS: A PTS: 1 REF: 8fa77465-9631-11dd-8a40-001185f11039 OBJ: Problem-Solving Application NAT: NT.CCSS.MTH.10.6.6.NS.4 LOC: MTH.C.01.02.04.01.001 | MTH.C.01.02.03.006 TOP: Greatest Common Factor KEY: GCF | greatest common factor | factor | problem solving DOK: DOK 2

98. ANS: A List the factors of 90 and 60 in order from least to greatest. 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 The greatest common factor is the largest factor that appears in both lists, 30. Factor 30 out of the sum.

Feedback A That’s correct! B Notice that 9 and 6 have a common factor. C Notice that 6 and 4 have a common factor. D Notice that 15 and 10 have a common factor.

PTS: 1 NAT: NT.CCSS.MTH.10.6.6.NS.4 KEY: GCF | greatest common factor | distributive property | factoring DOK: DOK 1



SHORT ANSWER

1. ANS:

PTS: 1 NAT: NT.CCSS.MTH.10.6.6.NS.1 DOK: DOK 2

2. ANS: Multiply by the reciprocal of the divisor.

PTS: 1 REF: MS1.07.04.W.04 NAT: NT.CCSS.MTH.10.6.6.NS.1 TOP: Dividing Fractions KEY: explain | division | fraction DOK: DOK 2

3. ANS: a. $67.16

b. $56.47 Rubric a. 1 point b. 1 point PTS: 2 NAT: NT.CCSS.MTH.10.6.6.NS.3 | NT.CCSS.MTH.10.K-12.MP.1 KEY: addition | multiplication | division | adding decimals | multiplying decimals | dividing decimals | carrying | decimals | multi-digit decimals DOK: DOK 2

4. ANS: 7 groups To make equal-size groups of both dogs and cats, we need to find a common factor of 42 and 35. That number will divide into 42 and 35 evenly, so there will be an equal number of both dogs and cats in that number of groups.. To find the greatest number of groups, find the greatest common factor. The GCF of 42 and 35 is 7. 42 = 6 × 7 = 2 × 3 × 7 35 = 5 × 7 If there are 7 groups, each group will have 6 dogs and 5 cats. PTS: 1 REF: 8fea36ad-9631-11dd-8a40-001185f11039 NAT: NT.CCSS.MTH.10.6.6.NS.4 LOC: MTH.P.06.006 | MTH.C.01.02.03.006 TOP: Greatest Common Factor KEY: GCF | greatest common factor | factor DOK: DOK 3

5. ANS: Part A: The check’s amount is the opposite of the amount deposited. The number and its opposite have a sum of 0. The check amount was $153. Part B: A balance of $0 means there is no money in the account. PTS: 1 NAT: NT.CCSS.MTH.10.6.6.NS.5 DOK: DOK 3

6. ANS: 19 PTS: 1 NAT: NT.CCSS.MTH.10.6.6.NS.6.a DOK: DOK 2

7. ANS: Part A:

–24–26–28–30–32–34–36–38–40–42–44–46–48–50–52

Part B: Sample answer: On the number line, 0 represents the surface of the water. The point that represents Ted’s depth is closer to 0 than the point that represents Randy’s depth, so Ted is closer to the surface of the water. PTS: 1 NAT: NT.CCSS.MTH.10.6.6.NS.7.b DOK: DOK 3

8. ANS: 6 PTS: 1 NAT: NT.CCSS.MTH.10.6.6.NS.7.c DOK: DOK 1



11. ANS: Part A: –925, –775, 625, 1125 Part B: 925, 625, 775, 1125 In order from least to greatest: 625, 775, 925, 1125 PTS: 1 NAT: NT.CCSS.MTH.10.6.6.NS.7.d DOK: DOK 2

12. ANS: yes PTS: 1 REF: M1.08.EN.CTA.09 NAT: NT.CCSS.MTH.10.6.6.RP.2 KEY: unit rates DOK: DOK 1

13. ANS:

PTS: 1 REF: M2.08.EN.CTB.08 NAT: NT.CCSS.MTH.10.6.6.RP.2 KEY: unit rates DOK: DOK 1

14. ANS: variable PTS: 1 NAT: NT.CCSS.MTH.10.6.6.RP.3.a DOK: DOK 2

15. ANS:

PTS: 1 REF: M2.08.EN.CTA.09 NAT: NT.CCSS.MTH.10.6.6.RP.3.b KEY: unit rates DOK: DOK 1

16. ANS: 55 PTS: 1 NAT: NT.CCSS.MTH.10.6.6.RP.3.c DOK: DOK 1

17. ANS: Possible answers may include two of the following: A profit of $25 because “profit” indicates a positive number. A gain of 25 yards because “gain” indicates a positive amount. The temperature is 25 degrees above 0 because “above” indicates a positive temperature. A dividend of $25 because a dividend is like a profit, which indicates a positive number. A distance of 25 kilometers between two cities, because distance is always positive. An altitude of 25 feet above sea level (or a gain in altitude of 25 feet). PTS: 1 NAT: NT.CCSS.MTH.10.6.6.NS.5 DOK: DOK 3

18. ANS:


19. ANS:

PTS: 1 REF: MMT10655 NAT: NT.CCSS.MTH.10.6.6.NS.5 TOP: Comparing Integers KEY: integer | word | write DOK: DOK 2

20. ANS:

PTS: 1 REF: M2.06.EN.CTB.01 NAT: NT.CCSS.MTH.10.6.6.NS.6 KEY: number line | graphing integers DOK: DOK 1

21. ANS: Part A: Death Valley: –282 ft elevation New Orleans: –6.5 ft elevation Pike’s Peak: 14,110 ft elevation Part B: Death Valley: ft = 282 ft elevation New Orleans: = 6.5 ft elevation Pike’s Peak: ft = 14,110 ft elevation Part B: New Orleans is the closest to sea level because: ft < ft < ft PTS: 1 NAT: NT.CCSS.MTH.10.6.6.NS.7.c DOK: DOK 3

22. ANS: Sample answer: First create a number line that includes 5 and 6. Then evenly space 7 ticks marks between 5 and 6. Plot the point 4 tick marks to the right of 5. PTS: 1 NAT: NT.CCSS.MTH.10.6.6.NS.6 DOK: DOK 2

23. ANS: Mia has read more. Since the whole-number parts of the mixed numbers are equal, the fraction parts of the mixed numbers need to be compared. Rewrite the fractions so that they have common denominators.

and and 21 > 4

So, 134 > 117 . Mia has read more.


24. ANS: Part A: Sample answer: Use a bar model.

1 hat 1 hat 1 hat

hour hour hour

She can make 2 hats in 1 hour, as shown by the shaded region in the model.

Part B:

She can make 2 hats in 1 hour. Part C: Sample answer: One way is to use proportional reasoning: Think: 2 hats in 1 hour, so hats in 4 hours. PTS: 1 NAT: NT.CCSS.MTH.10.6.6.NS.1 KEY: unit rate DOK: DOK 3

25. ANS:

215

PTS: 1 REF: MLC10381 NAT: NT.CCSS.MTH.10.6.6.NS.1 TOP: Dividing Fractions KEY: divide | fraction DOK: DOK 1

26. ANS: , 15.9 light years


27. ANS:

PTS: 1 REF: MMT10579 NAT: NT.CCSS.MTH.10.6.6.RP.1 TOP: Ratios KEY: ratio | fraction | word DOK: DOK 1

28. ANS:

PTS: 1 REF: M2.08.EN.CTA.02 NAT: NT.CCSS.MTH.10.6.6.RP.1 KEY: ratios DOK: DOK 1

29. ANS: 6:4 or 3:2 PTS: 1 NAT: NT.CCSS.MTH.10.6.6.RP.1 DOK: DOK 2

30. ANS:

PTS: 1 REF: MMT10053 NAT: NT.CCSS.MTH.10.6.6.RP.1

TOP: Ratios KEY: ratio | fraction | simplify DOK: DOK 2

31. ANS:

;

PTS: 1 REF: MLC10424 NAT: NT.CCSS.MTH.10.6.6.RP.2 TOP: Rates KEY: ratio | rate | lowest terms | unit rate | unit DOK: DOK 1

32. ANS:

PTS: 1 REF: M2.08.EN.CTB.11 NAT: NT.CCSS.MTH.10.6.6.RP.2 KEY: unit rates DOK: DOK 1

33. ANS: 5% PTS: 1 NAT: NT.CCSS.MTH.10.6.6.RP.3 DOK: DOK 2

34. ANS: Part A: Website Views 12 24 48 60 Advertisement Clicks

5 10 20 25

Part B: Make a coordinate plane with the x-axis labeled “Website views” and the y-axis labeled “Advertisement clicks.” Graph the information in the table as points: (12, 5), (24, 10), (48, 20) and (60, 25).

Website views

Adv

ertis

emen

t clic

ks

5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85–5 x

3

6

9

12

15

18

21

24

27

30

33

36

39

42

–3

y

Part C: 35 Part D: 44

PTS: 1 NAT: NT.CCSS.MTH.10.6.6.RP.3.a DOK: DOK 3

35. ANS: Flour (lb)

Fat (lb)

Liquid (lb)

Recipe

3 2 1 1 6 4 2 2

Rubric 1 point for each table entry PTS: 3 NAT: NT.CCSS.MTH.10.6.6.RP.3.a KEY: equivalent ratios DOK: DOK 1

36. ANS:


37. ANS: $555.56 PTS: 1 REF: 90b783ad-6ab2-11e0-9c90-001185f0d2ea NAT: NT.CCSS.MTH.10.6.6.NS.2 TOP: Divide Multi-Digit Whole Numbers KEY: division | multi-division DOK: DOK 2

38. ANS: 3.96 PTS: 1 NAT: NT.CCSS.MTH.10.6.6.NS.3 DOK: DOK 2

39. ANS: 1.3 PTS: 1 REF: 8f64b21d-9631-11dd-8a40-001185f11039 OBJ: Dividing a Decimal by a Whole Number NAT: NT.CCSS.MTH.10.6.6.NS.3 LOC: MTH.C.04.07.04.005 TOP: Dividing Decimals by Whole Numbers KEY: decimal | division DOK: DOK 1




43. ANS: 10


44. ANS: 9 to 8 PTS: 1 REF: ALS10355 NAT: NT.CCSS.MTH.10.6.6.RP.1 TOP: Ratios KEY: ratio | word DOK: DOK 1

45. ANS: 31:13 PTS: 1 REF: 90f7a22b-9631-11dd-8a40-001185f11039 OBJ: Writing Ratios NAT: NT.CCSS.MTH.10.6.6.RP.1 LOC: MTH.C.09.01.01.003 TOP: Ratios and Rates KEY: ratio DOK: DOK 2

46. ANS: 33:184 PTS: 1 REF: 90fa0489-9631-11dd-8a40-001185f11039 OBJ: Writing Ratios NAT: NT.CCSS.MTH.10.6.6.RP.1 LOC: MTH.C.09.01.01.003 TOP: Ratios and Rates KEY: ratio DOK: DOK 2

47. ANS:

PTS: 1 NAT: NT.CCSS.MTH.10.6.6.RP.3 DOK: DOK 1

48. ANS: 11 to 1 PTS: 1 REF: 95b7996f-9631-11dd-8a40-001185f11039 OBJ: Writing Ratios in Simplest Form NAT: NT.CCSS.MTH.10.6.6.RP.3 LOC: MTH.C.09.01.01.002 TOP: Ratios DOK: DOK 2

49. ANS: 222 parts/h PTS: 1 REF: MLC20370 NAT: NT.CCSS.MTH.10.6.6.RP.3.b TOP: Rates KEY: unit rate DOK: DOK 1

name: class : assessment pack grade 6 · 2017. 1. 16. · ____ 28. ina is keeping a chart of the...

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