Grade 5 Self-Assessment & Review Packet - K8 Math Sense

The 90 questions in this packet align to 51 clear math goals.

Grade 5 Math

What’s included?► A list of math goals for each

CCSS domain and cluster► 90 review questions, by cluster► 11 pages plus answersThis packet is a PDF so it can either be assigned electronically for distance learning, or printed at home or school.

Do your students know these important Grade 5 topics?► Comparing & Rounding Decimals► Number Patterns & Expressions► Equivalent Fractions► Decimal & Fraction Operations► Ordered Pairs► Converting Measurements► Volume of Rectangular Prisms

FORM

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SELF-ASSESSMENT & REVIEW PACKET

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Domain Pages

NUMBER AND OPERATIONS IN BASE TEN 1-35B1. Understand the place value system.5B2. Perform operations with multi-digit whole numbers. [Divide by 2-digit numbers.

Fluently add, subtract, multiply.]

5B3. Perform operations with decimals to hundredths.

NUMBER AND OPERATIONS – FRACTIONS 4-65F1. Use equivalent fractions as a strategy to add and subtract fractions.

5F2. Apply and extend previous understandings of multiplication and division to multiply and divide fractions.

GEOMETRY 7-85G1. Graph points on the coordinate plane to solve real-world and mathematical problems.

5G2. Classify two-dimensional figures into categories based on their properties.

OPERATIONS AND ALGEBRAIC THINKING 8-95A1. Write and interpret numerical expressions.

5A2. Analyze patterns and relationships.

MEASUREMENT AND DATA 10-115M1. Convert like measurement units within a given measurement system.

5M2. Represent and interpret data.

5M3. Understand concepts of volume and relate volume to multiplication and to addition.

ANSWER SECTION 1-3

Grade 5 Math Self-Assessment & Review Packet Form A (Published 02/11/2014 & Updated 08/02/2020)

Copyright © K8 Math Sense, Dayton, Ohio. Written and Illustrated by Angie Seltzer. All Rights Reserved. The original purchaser has permission to print and copy pages of this document for use in only one home or classroom. Permission is also granted to share file with students on a secure, password protected server. Further distribution of any portion of the printed or electronic

document or electronic posting of the file on any unsecured storage or retrieval system is prohibited without written permission from the publisher. CREDITS: Cluster statements © 2010. National Governors Association Center for Best Practices and Council

of Chief State School Officers.

CONTENTS

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About the Clusters & GoalsThis packet contains a list of goals for each cluster of content in the Common Core State Standards for Grade 5 mathematics. Cluster headings are taken directly from CCSS documents, and each cluster has 2 to 9 goals. The goals are clear and concise, in the style of typical chapter or lesson objectives.

About the Review QuestionsFor each Grade 5 goal there are one or more review questions, usually in short-answer format. Some questions are in multiple choice or multiple response format. This packet contains a total of 90 review questions that provide an excellent overview of all CCSS content for Grade 5.

Using Self-AssessmentBeside the goals/objectives are item numbers of the related questions. For each goal, students should write Yes or No to indicate whether they understand the content.

If desired, a parent or teacher may mark the goals that students have mastered. You may want to recheck students’ mastery of the same goals later in the year using parallel forms of this packet.

About the Domain IconsEach domain is represented by a letter-shaped icon that includes elements to denote key content. For example, the three rectangles at the top of the “A” icon for Algebraic Thinking show a pattern of increasing size. The “B” icon for Base Ten includes two columns of 10 squares, as a reminder that 2 tens make 20. The “B” also includes operation signs for addition, subtraction, multiplication, and division. Domain icons provide a quick way to identify the domain or strand of content on the pages.

Distance Learning File TipsYou may assign this file or individual pages in a password protected classroom management system. Students can type answers into a separate file, or write answers on paper and submit as a photo. If your system has an option of adding an annotation layer to a PDF, you can have students type or draw answers on that layer and submit the annotated file.

Follow-Up SuggestionsTeacher’s Notes

► Try parallel or more advanced review packets. If students grasp most concepts, download and review the next grade level and/or review this level again in four to six weeks.

► If necessary, review math from the prior grade.If students struggle with a lot of concepts, try easier review packets or online practice games from various websites or activity books.

► Try printable card games.Card games are available for the topics listed below, Kids can play easy games with an aide, a parent, or a friend. The sets are numbered and color coded to match the clusters and goals.

Games provide extra practice and strengthen concepts.

5A11 Expressions with Parentheses5B14 FREE Understanding Powers of Ten5B16 Understanding Thousandths5F11-C Equivalent Fractions with Circle Models5F11-R Equivalent Fractions with Rectangular Models 5F11-S Equivalent Fractions with Square Models5F12 Adding Fractions with Unlike Denominators5F23-N Multiplying Fractions Using Area Models5F23-U Multiplying Unit Fractions Using Models5F26 Dividing Unit Fractions by Whole Numbers5F27 Dividing Whole Numbers by Unit Fractions5G11 Understanding Coordinates5M33 Understanding Volume5M35 Expressions for Volume

Card Games for Grade 5

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Thank you for respecting copyright laws and the hard work of authors. Please abide by the Terms of Use. If you have questions, please direct them to [email protected]. Thanks again for choosing a K8 Math Sense resource.

Angie Seltzer

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Name: ______________________ Class: _________________ Date: _________ Form A

© K8 Math Sense Self-Assessment and Review (SAR5-A) Page 1

Grade 5 Self-Assessment & Review

NUMBER AND OPERATIONS IN BASE TEN

Do you understand the skills below? Answer the review questions. Then mark YES or NO for each skill.DOMAIN B CLUSTER 1: Understand the place value system.

Review Questions

Do you understand?

1. Relate place value to multiplying by 10 or 1/10.[5.NBT.1]

1 YES – NO

2. Multiply and divide whole numbers by powers of 10.[5.NBT.2]

2-5 YES – NO

3. Multiply and divide decimals by powers of 10. [5.NBT.2] 6-9 YES – NO4. Write powers of 10 using exponents. [5.NBT.2] 10 YES – NO5. Read and write decimals to thousandths. [5.NBT.3a] 11-12 YES – NO6. Convert between standard and expanded forms of

decimals. [5.NBT.3a]13-14 YES – NO

7. Compare decimals to thousandths. [5.NBT.3b] 15-16 YES – NO8. Round decimals to any place. [5.NBT.4] 17-19 YES – NO

1. What number is 110

of 2 thousands?

A. 2 hundredsB. 2 hundredthsC. 2 tensD. 2 tenths

2. What is 10 × 8,600?______________

3. What number times 10is equal to 900,000?

______________

4. What is 6,500 ÷ 100?______________

5. What is 40,000 × 110

? ____________

6. What is 10 × 3.27?______________

7. What is 100 × 58.6?______________

8. What is 8.7 ÷ 10?______________

9. What is 470.5 ÷ 100?______________

10. What is 104?______________

11. Write 76 thousandthsas a decimal.

______________

12. Write 0.43 in words.

______________________________

13. Write as a decimal. 7100

+ 310

______________

14. Write as a decimal: 31000

+ 2100

+ 510

______________

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15. Which of these is greatest?A. 0.15B. 0.143C. 0.14D. 0.134

16. Mark (✔) the decimals that are lessthan 0.65. 0.646 0.606 0.7 0.6

17. Round 8.656 to the nearest tenth.

______________

18. Round 5.824 to the nearest hundredth.

______________

19. Round 34.56 to the nearest ten.

______________

DOMAIN B CLUSTER 2: Perform operations with multi-digit whole numbers.

Review Questions

Do you understand?

1. Multiply whole numbers up to 4-digit by 1-digit using thestandard algorithm. [5.NBT.5]

20 YES – NO

2. Multiply whole numbers up to 2-digit by 2-digit using thestandard algorithm. [5.NBT.5]

21 YES – NO

3. Relate division to multiplication by multiples of 10.[5.NBT.6]

22 YES – NO

4. Divide 3-digit dividends by multiples of 10 using placevalue and/or models. [5.NBT.6]

23 YES – NO

5. Relate division to multiplication by 2-digit factors.[5.NBT.6]

24 YES – NO

6. Divide 3-and 4-digit dividends by 2-digit divisors usingplace value and/or models. [5.NBT.6]

25 YES – NO

20. Multiply: 2,310 × 6______________

21. Multiply: 36 × 81______________

22. What is 750 ÷ 30? Use the table.

× 20 3025 500 75035 700 1050

___________

23. Find 9,000 ÷ 30 mentally bydividing 900 tens by 3 tens.

___________

24. What is 340 ÷ 68? Use the table.

× 2 3 4 5 668 136 204 272 340 408

________

25. What is 38,000 ÷ 95? Use the table andplace value.

× 2 3 4 5 695 190 285 380 475 570

________

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DOMAIN B CLUSTER 3: Perform operations with decimals to hundredths.

Review Questions

Do you understand?

1. Relate addition and subtraction of decimals. [5.NBT.7] 26-27 YES – NO2. Add and subtract decimals to hundredths using place

value and/or models [5.NBT.7].28-29 YES – NO

3. Relate multiplication and division of decimals. [5.NBT.7] 30 YES – NO4. Multiply and divide decimals to hundredths using place

value and/or models. [5.NBT.7]31-32 YES – NO

26. What is 1.78 – 0.4? Use the table.

+ 0.2 0.3 0.4 0.5 0.61.38 1.58 1.68 1.78 1.88 1.981.48 1.68 1.78 1.88 1.98 2.08

_______

27. Subtract by thinking of addition.7.56 – 7.36

_______

28. The large square has a total area of 1square unit. The shaded part is 0.33.What is 1 – 0.33?

_______

29. Use the number line. What is 0.76 + 0.13?

_______

30. What is 23.52 ÷ 2.8? Use the table.

× 4.2 8.42.8 11.76 23.525.6 23.52 47.04

___________

31. What is 4.50 ÷ 0.25? Think of placevalue or money to help.

___________

32. The large square has a total area of 1square unit, with 56 hundredths shaded.What is 0.56 ÷ 0.07?

___________

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NUMBER AND OPERATIONS – FRACTIONS

Do you understand the skills below? Answer the review questions. Then mark YES or NO for each skill.DOMAIN F CLUSTER 1: Use equivalent fractions as a strategy to add and subtract fractions.

Review Questions

Do you understand?

1. Write equivalent fractions. [5.NF.1] 33 YES – NO2. Add and subtract fractions with unlike denominators.

[5.NF.1]34-35 YES – NO

3. Add and subtract mixed numbers with unlikedenominators. [5.NF.1]

36-38 YES – NO

4. Add and subtract fractions to solve word problems[5.NF.2]

39 YES – NO

5. Add and subtract mixed numbers to solve wordproblems. [5.NF.2]

40-41 YES – NO

6. Assess reasonableness of answers by usingbenchmarks and number sense. [5.NF.2]

42 YES – NO

33. Mark (✔) the fractions that equal 35

.

925

610

46

1525

.

34. What is the sum of 14

and 38

?

_______

35. What is the difference? 1718

– 23

_______

36. What is the sum of 2 35

and 2 710

?

_______

37. Subtract. 4 – 2 25

_______

38. Subtract. 512

– 2 23

_______

39. A carpenter glued two boards together.

One board was 1316

-inch thick, and the

second board was 58

-inch thick. What

was thickness of the two boards gluedtogether?

______________ inches

40. For craft projects, Daniel purchasedseveral packages of colored beads. He

used 2 34

packages for one project and

1 58

packages for a second project. How

many packages of beads did Daniel usein all?

______________ packages

41. Suppose you are hiking on a trail that is

5 310

miles long. You have walked 2 910

miles of the trail. How much further doyou need to hike to complete the trail?

______________ miles

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42. The sum of 12

and 27

is between which

of these pairs of numbers?

A. 0 and 12

B. 12

and 1

C. 1 and 1 12

D. 1 12

and 2

DOMAIN F CLUSTER 2: Apply and extend previous understandings of multiplication and division to multiply and divide fractions.

Review Questions

Do you understand?

1. Interpret fractions as division to solve word problems.[5.NF.3]

43 YES – NO

2. Multiply whole numbers by fractions. [5.NF.4a] 44-46 YES – NO3. Represent products of fractions using area models.

[5.NF.4b]47 YES – NO

4. Multiply fractions by fractions. [5.NF.4a, 5ab] 48-49 YES – NO5. Multiply fractions and mixed numbers to solve word

problems. [5.NF.650 YES – NO

6. Divide unit fractions by whole numbers using models.[5.NF.7a]

51 YES – NO

7. Divide whole numbers by unit fractions using models.[5.NF.7b]

52 YES – NO

8. Relate division to multiplication of fractions. [5.NF.7b] 53 YES – NO9. Divide with unit fractions and whole numbers to solve

problems. [5.NF.7c]54-55 YES – NO

43. At a club meeting, 18 students aresharing 3 pizzas equally.As a fraction, what is theamount of pizza per student?

_______ pizza

44. What is 13

of 21?

_______

45. What is 67

of 42?

_______

46. Nancy made a tower of 8 cubes. If each

cube was 23

of an inch high, how tall

was Nancy’s tower in inches?

_______ inches

47. The large square is one unit long andone unit wide.

What fraction of the square is shaded?

_______

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© K8 Math Sense Self-Assessment and Review (SAR5-A) www.mathpaths.com Page 6

48. Multiply. 12× 3

5_______

49. Which product is greatest?

A. 13× 1

3

B. 14× 1

3

C. 15× 1

3

D. 12× 1

3

50. A football game lasted 112

hours. During

13

of the game, the score was tied. For

how long in hours was the score tied? Write the answer as a fraction.

_______ hour

51. The model shows 14

of a circle divided

into 5 parts. What fraction names each small part?

_______ of the circle

52. In the first circle, each shaded part is 13

.

What is 4 divided by 13

?

_______

53. Dividing 2 by 19

gives the same result

as what multiplication?

A. 2 × 9

B. 12× 1

9

C. 12× 9

D. 19× 2

54. There are 3 pizzas in the oven. A serving

size is 15

of a pizza. How many servings

are in 3 pizzas?

_______ servings

55. Brianna can decorate 3 cards in 14

hour.

How much time is needed for her todecorate each card?

_______ of an hour

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GEOMETRY

Do you understand the skills below? Answer the review questions. Then mark YES or NO for each skill.DOMAIN G CLUSTER 1: Graph points on the coordinate plane to solve real-world and mathematical problems.

Review Questions

Do you understand?

1. Graph and identify points with positive coordinates on acoordinate system. [5.G.1]

56 YES – NO

2. Use coordinates (positive only) to represent and solveproblems. [5.G.2]

57 YES – NO

3. Use coordinates to analyze geometric shapes. [5.G.2] 58-59 YES – NO

56. Which letter marks the location ofordered pair (5, 1)?

_______

57. The graph shows the cost of 1, 2, or 4boxes of Yummy-Os cereal.

What is a reasonable cost for 3 boxes of Yummy-Os?

_______

58. What is the perimeter of the rectangle?

_______ units

59. Based on the scale, what is the lengthof one side of the square?

_______ units

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DOMAIN G CLUSTER 2: Classify two-dimensional figures into categories based on their properties.

Review Questions

Do you understand?

1. Classify and identify quadrilaterals. [5.G.3] 60-61 YES – NO2. Recognize categories and create hierarchies of shapes.

[5.G.4]62-63 YES – NO

60. Which shape is not a parallelogram?

_______

61. What is the best name for aquadrilateral with four right angles?

_____________________

62. Which of these shapes is a type ofrhombus with two sides that areperpendicular to each other?

A. rectangleB. squareC. trapezoidD. polygon

63. Which of these shapes could have morethan 8 sides?

A. rectangleB. octagonC. hexagonD. polygon

OPERATIONS AND ALGEBRAIC THINKING

Do you understand the skills below? Answer the review questions. Then mark YES or NO for each skill.DOMAIN A CLUSTER 1: Write and interpret numerical expressions.

Review Questions

Do you understand?

1. Evaluate numerical expressions with parentheses.[5.OA.1]

64-66 YES – NO

2. Write and interpret numerical expressions. [5.OA.2] 67-68 YES – NO

64. What is the value?8 + (6 × 9)

________________

65. What is the value?5 × (4 + 2 – 1)

________________

66. What is the value?13 – (10 – 3 + 1)

________________

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67. Write an expression for “the sum of 9and 7, multiplied by 6.” (Do notcalculate.)

_____________________________

68. Write an expression for “take 5 from 8and then multiply by 10.” (Do notcalculate.)

_____________________________

DOMAIN A CLUSTER 2: Analyze patterns and relationships.

Review Questions

Do you understand?

1. Write and compare two patterns given two rules.[5.OA.3]

69-71 YES – NO

2. Identify features of related patterns in tables or graphs.[5.OA.3]

72-73 YES – NO

69. Start with 10 and use the rule “Add 3”to create a pattern of four numbers.

______________________________

70. What is the rule for finding the nextnumber in this pattern?20, 16, 12, 8, ...

______________________________

71. Pattern F starts with 15 and uses therule “Add 5.”Pattern G starts with 15 and uses therule “Add 10.”

Write an ordered pair using the thirdnumber from each pattern.(Put Pattern F first.)

______________

72. Compare the two patterns. What do younotice?Pattern X: 3, 6, 9, 12, 15, 18, ...Pattern Y: 6, 12, 18, 24, 30, 36 ...

A. The next number in each pattern isodd.

B. Numbers in pattern X are doublethose in pattern Y.

C. Numbers in pattern Y are doublethose in pattern X.

D. The next number in each pattern isfound by adding 6.

73. Look at the pattern made by points P, Q,R, and S.

The first coordinates in the pattern are increasing by how much?

_______

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MEASUREMENT AND DATA

Do you understand the skills below? Answer the review questions. Then mark YES or NO for each skill.DOMAIN M CLUSTER 1: Convert like measurement units within a given measurement system.

Review Questions

Do you understand?

1. Convert metric measurements. [5.MD.1] 74-78 YES – NO2. Convert conventional measurements. [5.MD.1] 79-82 YES – NO

74. 20 m m = _______ cm

75. 410 cm = _______ m

76. 3,800 g = _______ kg

77. 430 mL = _______ L

78. 4.7 m = _______ cm

79. 72 in. = _______ ft

80. 324 in. = _______ yd

81. 48 ounces = _______ pounds

82. 2 14

gallons = ______ quarts

DOMAIN M CLUSTER 2: Represent and interpret data.

Review Questions

Do you understand?

1. Make line plots using data including fractions. [5.MD.2] 83-84 YES – NO2. Solve problems about line plots. [5.MD.2] 85 YES – NO

83. What letter represents 15 inches on this line plot?

_______

84. The line plot shows lengths of ten leaves that someone measured.

How many leaves were between 3 and 4 inches long?_______ leaves

85. Refer to the line plot in Question 84. What is thedifference between the length of the longest andthe shortest leaf?

_______ inches

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DOMAIN M CLUSTER 3: Understand concepts of volume and relate volume to multiplication and to addition.

Review Questions

Do you understand?

1. Identify a cube as a unit of volume. [5.MD.3] 86 YES – NO2. Measure volume by counting unit cubes. [5.MD.4] 87 YES – NO3. Add and/or multiply to find volumes of rectangular prisms.

[5.MD.5a]88 YES – NO

4. Solve problems involving volume of rectangular prisms(with whole numbers as lengths). [5.MD.5b]

89 YES – NO

5. Solve problems involving volumes of connected prisms.[5.MD.5c]

90 YES – NO

86. A student stacked cubes to make ashape the same size as Box N.

Which measurement uses cubic units?

A. diagonalB. surface areaC. areaD. volume

87. A student stacked blocks, each thesame size, to make a shape the samesize as Box B. (Some blocks arehidden.)

How many blocks make up the shape?

_______ blocks

88. This prism is 9 units wide, 6 units tall,and 4 units long.

What is the volume?_______ cubic units

89. A box holds 504 cubic inches. Thebottom of the box is a rectangle that is 8inches by 7 inches. What is the height ofthe box?

_______ inches

90. What is the volume of this figure madefrom stacked cubes? (Some cubes arehidden.)

_______ cubic units

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Grade 5 Self-Assessment & Review Packet - K8 Math Sense

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