PRACTICE - EPSD · 2015-07-23 · Grade 3 PRACTICE Workbook. ... 18.3 Equivalent Fractions...

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HSP

HSP

Grade 3

PRACTICE Workbook

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© Harcourt • Grade 3

UNIT 1: PLACE VALUE, ADDITION, AND

SUBTRACTION

Chapter 1: Understand Place Value

1.1 Algebra: Patterns on a Hundred Chart ...................................................PW1

1.2 Locate Points on a Number Line .......PW21.3 Place Value: 3 Digits ...........................PW31.4 Place Value: 4 Digits ...........................PW41.5 Place Value: 5 and 6 Digits ................PW51.6 Problem Solving Workshop

Strategy:Use Logical Reasoning .......................PW6

Chapter 2: Compare, Order, and Round Numbers

2.1 Compare Numbers .............................PW72.2 Order Numbers ...................................PW82.3 Problem Solving Workshop Skill:

Use a Model ........................................PW92.4 Round to the Nearest Ten

and Hundred ....................................PW102.5 Round to the Nearest Thousand .....PW11

Chapter 3: Addition

3.1 Algebra: Addition Properties ..........PW123.2 Algebra: Missing Addends ...............PW133.3 Estimate Sums ..................................PW143.4 Add 2-Digit Numbers .......................PW153.5 Model 3-Digit Addition ...................PW163.6 Add Greater Numbers ......................PW173.7 Problem Solving Workshop

Strategy: Predict and Test ................PW183.8 Choose a Method .............................PW19

Chapter 4: Subtraction

4.1 Algebra: Fact Families ......................PW204.2 Estimate Differences ........................PW214.3 Subtract 2-Digit Numbers ................PW224.4 Model 3-Digit Subtraction ...............PW234.5 Subtract Greater Numbers ...............PW244.6 Problem Solving Workshop Skill:

Estimate or Exact Answer ................PW254.7 Subtract Across Zeros .......................PW264.8 Choose a Method .............................PW274.9 Problem Solving Workshop Skill:

Choose the Operation .....................PW28

UNIT 2: MONEY AND TIME, DATA AND

PROBABILITY

Chapter 5: Money and Time

5.1 Count Bills and Coins .......................PW295.2 Compare Money Amounts ..............PW305.3 Problem Solving Workshop

Strategy: Make a Table ....................PW315.4 Model Making Change ....................PW325.5 Add and Subtract Money

Amounts ...........................................PW335.6 Tell Time ............................................PW345.7 A.M. and P.M. ...................................PW355.8 Model Elapsed Time .........................PW365.9 Use a Calendar .................................PW375.10 Sequence Events ...............................PW38


Chapter 6: Data

6.1 Collect Data ......................................PW396.2 Read a Pictograph ............................PW406.3 Problem Solving Workshop

Strategy: Make a Graph ..................PW416.4 Read a Bar Graph .............................PW426.5 Problem Solving Workshop

Strategy: Make a Graph ..................PW436.6 Take a Survey ....................................PW446.7 Classify Data .....................................PW456.8 Line Plots ..........................................PW466.9 Algebra: Ordered Pairs ....................PW476.10 Read a Line Graph ...........................PW48

Chapter 7: Probability

7.1 Probability: Likelihood of Events ....PW497.2 Possible Outcomes ...........................PW507.3 Experiments ......................................PW517.4 Combinations ...................................PW527.5 Problem Solving Workshop

Strategy: Make an Organized List ..................................PW53

UNIT 3: MULTIPLICATION CONCEPTS AND

FACTS

Chapter 8: Understand Multiplication

8.1 Algebra: Relate Addition to Multiplication ...................................PW54

8.2 Algebra: Model with Arrays ............PW558.3 Multiply with 2 .................................PW568.4 Multiply with 4 .................................PW578.5 Algebra: Multiply with 1 and 0 .......PW588.6 Multiply with 5 and 10 ....................PW598.7 Problem Solving Workshop

Strategy: Draw a Picture ..................PW60

Chapter 9: Facts and Strategies

9.1 Multiply with 3 .................................PW619.2 Multiply with 6 .................................PW629.3 Multiply with 8 .................................PW639.4 Algebra: Patterns with 9 .................PW649.5 Multiply with 7 .................................PW659.6 Problem Solving Workshop

Strategy: Compare Strategies ..........PW669.7 Algebra: Multiplication Facts

Through 12 .......................................PW67

Chapter 10: Algebra: Facts and Properties

10.1 Find a Rule ........................................PW6810.2 Missing Factors .................................PW6910.3 Multiply 3 Factors .............................PW7010.4 Multiplication Properties .................PW7110.5 Problem Solving Workshop Skill:

Multistep Problems ..........................PW72

UNIT 4: DIVISION CONCEPTS AND FACTS

Chapter 11: Understand Division

11.1 Model Division .................................PW7311.2 Relate Division and Subtraction ......PW7411.3 Model with Arrays ...........................PW7511.4 Algebra: Multiplication and

Division .............................................PW7611.5 Algebra: Fact Families ......................PW7711.6 Problem Solving Workshop

Strategy: Write a Number Sentence ...........................................PW78

Chapter 12: Division Facts

12.1 Divide by 2 and 5 .............................PW7912.2 Divide by 3 and 4 .............................PW8012.3 Division Rules for 1 and 0 ................PW8112.4 Algebra: Practice the Facts ..............PW8212.5 Problem Solving Workshop Skill:

Choose the Operation .....................PW83

Chapter 13: Facts Through 12

13.1 Divide by 6 ........................................PW8413.2 Divide by 7 and 8 .............................PW8513.3 Problem Solving Workshop

Strategy: Work Backward ................PW8613.4 Divide by 9 and 10 ...........................PW8713.5 Algebra: Division Facts

Through 12 .......................................PW8813.6 Algebra: Expressions and

Equations ..........................................PW89

MXENL08AWK3X_PH_TEFM.indd iv 7/5/07 2:25:24 PM


UNIT 5: GEOMETRY AND PATTERNS

Chapter 14: Plane Figures

14.1 Line Segments and Angles ..............PW9014.2 Types of Lines ...................................PW9114.3 Identify Plane Figures ......................PW9214.4 Triangles ............................................PW9314.5 Quadrilaterals ...................................PW9414.6 Circles ................................................PW9514.7 Problem Solving Workshop

Strategy: Draw a Diagram ...............PW9614.8 Combine Plane Figures ....................PW97

Chapter 15: Congruence and Symmetry

15.1 Congruent Figures ...........................PW9815.2 Problem Solving Workshop

Strategy: Make a Model ..................PW9915.3 Symmetry ........................................PW10015.4 Lines of Symmetry ..........................PW10115.5 Similar Figures ................................PW10215.6 Slides, Flips, and Turns ...................PW103

Chapter 16: Solid Figures

16.1 Identify Solid Figures .....................PW10416.2 Model Solid Figures .......................PW10516.3 Combine Solid Figures ...................PW10616.4 Problem Solving Workshop Skill:

Identify Relationships ....................PW10716.5 Draw Figures ..................................PW108

Chapter 17: Algebra: Patterns

17.1 Patterns ...........................................PW10917.2 Geometric Patterns ........................PW11017.3 Number Patterns ............................PW11117.4 Problem Solving Workshop

Strategy: Find a Pattern .................PW11217.5 Make a Pattern ...............................PW113

UNIT 6: FRACTIONS AND DECIMALS

Chapter 18: Understand Fractions

18.1 Model Part of a Whole ..................PW11418.2 Model Part of a Group ..................PW11518.3 Equivalent Fractions .......................PW11618.4 Compare and Order Fractions .......PW11718.5 Problem Solving Workshop

Strategy: Compare Strategies ........PW11818.6 Mixed Numbers ..............................PW11918.7 Add Like Fractions ..........................PW12018.8 Subtract Like Fractions ...................PW12118.9 Problem Solving Workshop Skill:

Too Much/Too Little Information ..PW122

Chapter 19: Understand Decimals

19.1 Model Tenths ..................................PW12319.2 Model Hundredths .........................PW12419.3 Decimals Greater Than One ..........PW12519.4 Compare and Order Decimals .......PW12619.5 Problem Solving Workshop

Strategy: Compare Strategies ........PW12719.6 Relate Fractions, Decimals, and

Money .............................................PW128

UNIT 7: MEASUREMENT

Chapter 20: Customary Measurement

20.1 Length .............................................PW12920.2 Estimate and Measure Inches ........PW13020.3 Estimate and Measure Feet

and Yards ........................................PW13120.4 Capacity ..........................................PW13220.5 Weight ............................................PW13320.6 Estimate or Measure ......................PW13420.7 Problem Solving Workshop Skill:

Choose a Unit .................................PW13520.8 Fahrenheit Temperature ................PW136


Chapter 21: Metric Measurement

21.1 Length .............................................PW13721.2 Estimate and Measure

Centimeters, Decimeters, and Meters .....................................PW138

21.3 Capacity ..........................................PW13921.4 Mass ................................................PW14021.5 Problem Solving Workshop Skill:

Choose a Unit .................................PW14121.6 Celsius Temperature .......................PW142

Chapter 22: Perimeter, Area, and Volume

22.1 Estimate and Measure Perimeter ........................................PW143

22.2 Area of Plane Figures ....................PW14422.3 Relate Perimeter and Area ............PW14522.4 Estimate and Find Volume ............PW14622.5 Problem Solving Workshop Skill:

Use a Model ....................................PW147

UNIT 8: MULTIPLY AND DIVIDE BY 1 DIGIT

Chapter 23: Multiply by 1 Digit

23.1 Algebra: Multiples of 10 and 100 ...........................................PW148

23.2 Arrays with Tens and Ones ............PW14923.3 Model 2-Digit Multiplication .........PW15023.4 Estimate Products ...........................PW15123.5 Multiply 2-Digit Numbers ..............PW15223.6 Multiply 3-Digit Numbers ..............PW15323.7 Problem Solving Workshop

Strategy: Solve a Simpler Problem ...........................................PW154

Chapter 24: Divide by 1 Digit

24.1 Model Division with Remainders ..PW15524.2 Record Division ...............................PW15624.3 Algebra: Division Patterns .............PW15724.4 Estimate Quotients ........................PW15824.5 Divide 2- and 3-Digit Numbers ......PW15924.6 Problem Solving Workshop Skill:

Interpret the Remainder ................PW160

SPIRAL REVIEW

Week 1 ..........................................................SR1Week 2 ..........................................................SR2Week 3 ..........................................................SR3Week 4 ..........................................................SR4Week 5 ..........................................................SR5Week 6 ..........................................................SR6Week 7 ..........................................................SR7Week 8 ..........................................................SR8Week 9 ..........................................................SR9Week 10 ......................................................SR10Week 11 ......................................................SR11Week 12 ......................................................SR12Week 13 ......................................................SR13Week 14 ......................................................SR14Week 15 ......................................................SR15Week 16 ......................................................SR16Week 17 ......................................................SR17Week 18 ......................................................SR18Week 19 ......................................................SR19Week 20 ......................................................SR20Week 21 ......................................................SR21Week 22 ......................................................SR22Week 23 ......................................................SR23Week 24 ......................................................SR24Week 25 ......................................................SR25Week 26 ......................................................SR26Week 27 ......................................................SR27Week 28 ......................................................SR28Week 29 ......................................................SR29Week 30 ......................................................SR30Week 31 ......................................................SR31Week 32 ......................................................SR32Week 33 ......................................................SR33Week 34 ......................................................SR34Week 35 ......................................................SR35Week 36 ......................................................SR36

Homework ManagementA good homework management plan can streamline the process, maximize usefulness, and encourage student involvement. The plan offered here focuses on:

• Student Ownership• Teacher led discussion• Quality, not quantity• Balanced-concepts, skills, and problem solving• Daily Feedback• Analysis, not just checked• Progress Graphs

HSP Math offers the following resources for homework management:■ Suggested Homework Problems, recommended problems circled in the

Teacher’s Edition■ Rationale Card in the Teacher’s Edition for easy reference and rationale to

suggested homework problems■ Progress Graphs for students to chart progress throughout the week

Suggested Homework Problems are on each worksheet. The suggested problems have been carefully selected because they are a good representation of the problems in the day’s lesson. No more than 10 problems are suggested for each lesson.

A Rationale Card provides the rationale behind the suggested problem chosen. You can review the rationale to evaluate which problems best suit your students’ needs before you assign homework.

Progress Graphs are provided for students as a template to use with the suggested homework problems that may be assigned. Students shade the double-bar graph each day to demonstrate the progress they make on their suggested homework assignments throughout the week. The left bar reflects the total number of problems that are assigned. The right bar reflects the total number of problems the student got correct. After you write the answers on the chalkboard, students check their own homework during the morning routine while you circulate the room to review their papers. Homework is assigned Monday through Thursday only, so at the end of the week students can analyze their own work by writing two sentences about their progress. The graphs can also be placed in student portfolios for parent/teacher conferences. A sample graph is shown below. The template is provided on the next page.


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PracticePW1© Harcourt • Grade 3

Name Lesson 1.1

Algebra: Patterns on a Hundred ChartUse the hundred chart. Find the next number in the pattern.

1. 1, 3, 5, 7, 2. 6, 5, 4, 3,

3. 10, 15, 20, 25, 4. 15, 12, 9, 6,

5. 10, 20, 30, 40, 6. 65, 63, 61, 59,

Use the hundred chart. Tell whether each number is odd or even.

7. 7 8. 36 9. 50 10. 77

11. 98 12. 90 13. 8 14. 24

15. 21 16. 33 17. 9 18. 85

1 2 3 4 5 6 7 8 9 10

11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

31 32 33 34 35 36 37 38 39 40

41 42 43 44 45 46 47 48 49 50

51 52 53 54 55 56 57 58 59 60

61 62 63 64 65 66 67 68 69 70

71 72 73 74 75 76 77 78 79 80

81 82 83 84 85 86 87 88 89 90

91 92 93 94 95 96 97 98 99 100


Locate Points on a Number LineFind the number that point X represents on the number line.

1.

2.

3.

4.

Problem Solving and Test PrepFor 5–6, use the number line below.

5. Raul’s trivia score is labeled point S. What is Raul’s score?

6. Raul answered two more questions correctly. His new score is labeled point X. What is Raul’s new score?

For 7–8, use the number line below.

7. Which number does point T represent?

A 18B 26C 9D 15

8. Which number does point R represent?

A 9B 12C 15D 25

X 105

X 27 301512

90S 110X70

R S T U 21 2463

X 1080

40 X 503025

Name Lesson 1.2

MXENL08AWK3X_PH_C01_L2.indd PW2 7/5/07 12:07:15 PM


Name Lesson 1.3

Place Value: 3 DigitsWrite the value of the underlined digit.

1. 818

2. 191

3. 817

4. 902

5. 253

6. 704

7. 640

8. 397

Write each number in standard form.

9. 300 � 40 � 2

10. 500 � 60 � 1

11. 200 � 10 � 9

12. seven hundred three

13. four hundred ninety-nine

Write each number in expanded form.

14. 921

15. 650

16. 250

Problem Solving and Test Prep17. Female elk can weigh up to six

hundred pounds. In standard form, how many non-zero digits does this weight contain?

18. Male mountain lions usually weigh around one hundred sixty pounds. In a place value chart of this weight, which digit would go in the hundreds place?

19. Which shows 605 written in expanded form?

A 600 � 0B 605 � 50C 600 � 5D 600 � 50

20. Which shows 440 written in expanded form?

A 40 � 40 � 4B 400 � 40C 400 � 4D 400 � 40 � 4

PW4 Practice © Harcourt • Grade 3

Name Lesson 1.4

Place Value: 4 DigitsWrite each number in standard form.

1. 9,000 � 8

2. six thousand, one hundred twelve

3. four thousand, two hundred two

4. 2,000 � 700 � 30 � 4

Write each number in expanded form.

5. 3,724

6. 5,209

7. 6,009

8. 9,638

9. 7,004

10. 477

Write the value of the underlined digit.

11. 9,876

12. 7,219

13. 3,147

14. 4,296

Problem Solving and Test Prep15. Write a 4-digit number that

contains the digits 0, 1, 2, and 3. What is the value of the first digit in your number?

16. Harry will have eaten 1,100 peanut butter and jelly sandwiches by the time he graduates from high school. How would you write 1,100 in expanded form?

17. Which number shows five thousand, three hundred two?

A 532 C 5,302B 5,032 D 5,320

18. What is the value of the underlined digit in 7,318?

A 7 C 700B 70 D 7,000

PW5 Practice© Harcourt • Grade 3

Name Lesson 1.5

Place Value: 5 and 6 DigitsWrite the value of the underlined digit.

1. 34,219

2. 728,516

3. 156,327

4. 405,318

5. 211,007

6. 80,239

7. 44,920

8. 300,999

Write each number in standard form.

9. 70,000 � 8,000 � 300 � 5

10. forty-three thousand, eleven

11. 60,000 � 2,000 � 400 � 20 � 7

12. 900,000 � 20,000 � 4,000 � 30 � 8

Problem Solving and Test Prep

13. Mauna Kea, an inactive volcano in Hawaii, stands 13,796 feet above sea level. What is the value of the digit 1 in 13,796?

14. During the one-week period it was held, 237,465 people attended the state fair. How would you write 237,465 in expanded form?

15. How is 24,003 written in expanded form?

A 20,000 � 300 � 4B 3000 � 30C 20,000 � 4,000 � 3D 24,000 � 3

16. How is 907,030 written in expanded form?

A 90,000 � 700 � 30B 9,000 � 70,000 � 3C 900,000 � 70,000 � 3D 900,000 � 7,000 � 30


Name Lesson 1.6

Problem Solving Workshop Strategy:

Use Logical Reasoning

Problem Solving Strategy PracticeUse logical reasoning to solve.

1. Mario’s locker number is between 80 and 99. The sum of the digits is 13. The tens digit is 3 more than the ones digit. What is Mario’s locker number?

2. In a spelling bee, Cal, Dawn, and Amy were the top three finishers. Cal finished second. Dawn did not finish first. Who finished first?

3. Eight students tried out for the band or the chorus. Five students tried out for the band, the rest tried out for the chorus. How many students tried out for the chorus?

4. Earl answered 2 more math questions correctly than Anna did. Anna answered 3 fewer questions correctly than Juanita did. Juanita answered 21 questions correctly. How many questions did Earl answer correctly?

Mixed Strategy Practice 5. Doug has 170 stamps in his

collection. His first book of stamps has 30 more stamps in it than his second book. How many stamps are in each book?

6. Mr. Burns ran 14 miles last week. He only ran on Monday, Tuesday, and Wednesday. If Mr. Burns ran 3 miles on Tuesday and 5 miles on Wednesday, then how many miles did he run on Monday?

7. USE DATA Josie is 2 spans plus 3 ells tall. How tall is Josie in feet? Show your work. 1 fathom = 6 feet

2 spans = 3 feet

3 ells = 1 foot

Unusual Measurements

PW7 Practice

Name Lesson 2.1


Compare NumbersCompare the numbers. Write <, >, or = for each .

1. 78 87 2. 100 99 3. 529 592

4. 964 946 5. 3,624 3,624 6. 4,284 284

7. 4,321 4,312 8. 94 940 9. 724 724

10. 870 87 11. 1,638 1,863 12. 9,574 9,745


13. Fast Fact The tallest building in the United States is the Sears Tower in Illinois. It stands1,450 feet tall. The tallest building in Canada is the CN Tower, which stands 1,815 feet tall. Compare the heights of these two buildings.

14. The 3rd grade student population consists of 384 students. The 4th grade student population consists of 348 students. Compare the number of students in each grade level.

15. Which number is less than 952?

A 925B 952C 955D 1,000

16. Which number is greater than 1,786?

A 1,678B 1,768C 1,786D 1,790

PW8 Practice

Name Lesson 2.2


Order NumbersWrite the numbers in order from greatest to least.

1. 782, 780, 785

2. 3,012; 3,644; 3,128

3. 6,225; 6,237; 6,244

4. 921, 929, 927

5. 8,215; 8,152; 8,521

6. 9,305; 9,350; 9,503

Write the numbers in order from least to greatest.

7. 949, 941, 943

8. 1,358; 1,835; 1,583

9. 2,748; 2,751; 2,739

10. 351, 355, 352

11. 4,157; 4,175; 4,159

12. 5,764; 5,674; 5,746

Problem Solving and Test Prep13. Fast Fact Dinosaurs lived long

ago, and ranged in weight. The ankylosaurus weighed about 7,000 pounds, the stegosaurus weighed about 4,000 pounds, and the iguanodon weighed about 9,900 pounds. Which dinosaur weighed the least?

14. Reasoning I am a number that is greater than 81 but less than 95. The sum of my digits is 15. What number am I?

15. Which number is less than 680 but greater than 327?

A 326B 1,000C 328D 690

16. Which number is greater than 498 but less than 507?

A 497B 499C 507D 510

PW9 Practice

Name Lesson 2.3


Problem Solving Workshop Skill: Use a Model

Problem Solving Skill Practice USE DATA For 1–4, use the number line below.

1. Which animal weighs the most?

2. Which animal weighs the least?

3. Which animal has the second greatest weight?

4. Write the names of the animals in order from greatest weight to least weight.

Mixed Applications 5. Charlie collected 52 marbles on

Monday, 37 marbles on Wednesday, and 121 marbles on Tuesday. How would you put the days in order from least to greatest number of marbles collected?

6. Patrick brought 4 pencils to school on Monday, 3 pencils to school on Tuesday, and a bagged lunch to school on Wednesday. How many pencils did Patrick bring to school on Monday and Tuesday in all?

7. Luke puts three numbers in order from least to greatest. The total amount of digits in the numbers he orders is 4. Are any of the three numbers Luke puts in order made up of more than 2 digits?

8. Lana won two spelling bees last year. She told her mother that in the number 1,020, the number in the hundreds place has a value of 0. Is what Lana told her mother correct?

400 500 600 700 800 900 1,000 1,100 1,300 1,4001,200

Lion

Griz

zly

bea

r

Zebr

a

Biso

n

Weight in Pounds.

PW10 Practice

Name Lesson 2.4


Problem Solving and Test PrepUSE DATA For 19–20, use the table below.

19. To the nearest ten, about how many baseball cards has Miguel collected?

20. To the nearest hundred, about how many baseball cards has Anna collected?

21. Rounded to the nearest ten, Krissy has 670 stamps. How many stamps could Krissy have?

A 679 C 669B 676 D 664

22. Rounded to the nearest hundred, Tim has 300 photos. How many photos could Tim have?

A 344 C 449B 402 D 382

Round to the Nearest Ten and HundredRound the number to the nearest ten and to the nearest hundred.

1. 728

2. 949

3. 941

4. 622

5. 877

6. 213

7. 356

8. 928

9. 475

10. 997

11. 163

12. 78

13. 427

14. 862

15. 269

16. 412

17. 638

18. 333

Miguel

Anna

Darnell

461

339

63

Collector Number of Cards

Baseball Card Collections

PW11 Practice

Name Lesson 2.5


Round to the Nearest ThousandRound to the nearest thousand.

1. 8,732

2. 6,541

3. 3,498

4. 9,261

5. 2,674

Round to the nearest thousand, to the nearest hundred, and to the nearest ten.

6. 4,192

7. 5,647

8. 7,526

9. 2,796

10. 3,365


11. To the nearest thousand, about how many people were involved with the largest lifesaving operation?

12. To the nearest thousand, about how many kg were the largest twin battleship projectiles?

13. What is 1,521 rounded to the nearest thousand?

A 1,000B 1,500 C 1,520D 2,000

14. What is 5,417 rounded to the nearest thousand?

A 5,000B 5,420C 6,000D 5,400

Lifesaving Operation

Twin Battleship Projectiles

Area of sail

2,735 people

1,450 kg

1,833 sq. meters

Largest... Number

Guinness World Records

Practice PW12

Name Lesson 3.1

Algebra: Addition PropertiesFind each sum. Name the property used.

1. 4 � 7 �

7 � 4 �

2. 1 � (8 � 5) �

(1 � 8) � 5 �

3. (3 � 9) � 4 �

3 � (9 � 4) �

4. 4 � (6 � 6) �

(4 � 6) � 6 �

5. 1 � 9 �

9 � 1 �

6. 5 � (3 � 3) �

(5 � 3) � 3 �

Find each sum two different ways. Use parentheses to show which numbers you added first.

7. 9 � 8 � 3� 8. 8 � 0 � 5 � 9. 25 � 40 � 5 �

10. 0 � 1 � 7 � 11. 30 � 35 � 35 � 12. 15 � 5 � 5 �


13. On a nature walk, Sarah sees 3 squirrels, 5 chipmunks, and 8 birds. How many animals does Sarah see in all?

14. On Monday Ramon saw 4 squirrels and 8 birds, in the park. On Tuesday he saw 8 squirrels and 4 birds, in the park. On Monday and Tuesday, how many animals did Ramon see in the park in all?

15. Which is the sum?

(4 � 3) � 1 �

A 0

B 3

C 8

D 30


8 � (9 � 4) �

A 22

B 24

C 20

D 21


PracticePW13

Name Lesson 3.2

Algebra: Missing AddendsFind the missing addend. You may want to use counters.

1. 3 � � 10 2. � 9 � 14 3. � 6 � 11 4. � 2 � 5

5. � 7 � 13 6. 2 � � 4 7. � 9 � 12 8. 9 � � 17

9. 6 � � 12 10. � 1 � 10 11. 3 � � 8 12. � 4 � 4

Find the missing number.

13. 9 � 9 � 14. 3 � � 12 15. 5 � 5 � 16. 7 � 0 �

17. 6 � 8 � 18. 2 � � 10 19. � 5 � 12 20. � 0 � 3

21. 8 � � 12 22. 4 � 7 � 23. 6 � � 11 24. 2 � 7 �


25. Leslie saw 8 squirrels at the park. She saw 5 birds and 12 ants. How many more ants and birds did Leslie see than she saw squirrels?

26. Sophia went to an amusement park. She went on 18 rides in all. Seven of the rides she went on were roller coasters. How many of the rides Sophia went on were not roller coasters?

27. Which is the missing addend for

2 � � 19?

A 9B 16C 8D 17

28. Which is the missing addend for

11 � � 15?

A 3B 4C 5D 6


Practice PW14

Name Lesson 3.3

Estimate SumsUse rounding to estimate each sum.

1. 64 � 29

_

2. 45 � 21

_

3. 14 � 37

_

4. 423 � 17

_

5. 661 � 32

_

6. 271 � 349

__

7. 535 � 183

__

8. 721 � 248

__

9. 183 � 134

__

10. 387 � 97

_

Use compatible numbers to estimate each sum.

11. 48 � 34

_

12. 24 � 27

_

13. 17 � 64

_

14. 123 � 76

_

15. 572 � 25

_


16. About how many different species of parrots and raptors are there in all?

17. Which is greater, the estimated sum of pigeon and raptor species or the estimated sum of parrot and penguin species?

18. A family drove 325 miles and then drove 189 miles. About how many miles did the family drive in all?

A 50 miles

B 600 miles

C 500 miles

D 400 miles

19. Toby counted 23 herons and then 45 herons. About how many herons did Toby count in all?

A 100 herons

B 70 herons

C 50 herons

D 170 herons

Parrot

Raptor

Penguin

Pigeon

353

307

17

309

Type of Bird Number of differentSpecies

Bird Species



PW15 Practice

Name Lesson 3.4

Add 2-Digit NumbersEstimate. Then find each sum using place value or mental math.

1. 19 � 64

_

2. 33 28

� 14

3. 63 � 45

_

4. 34 � 76

_

5. 65 48

� 16

6. 75 � 47

_

7. 31 � 86

_

8. 47 � 25

_

9. 24 32

� 18

10. 47 24

� 52

11. 56 � 41 � 12. 83 � 15 � 13. 25 � 67 � 31 �

14. 29 � 67 � 15. 37 � 21 � 16. 49 � 34 � 61 �


17. Kara bought 13 green apples and some red apples. She bought a total of 40 apples. How many red apples did Kara buy?

18. Manuel and his brother picked apples. Manuel picked 62 apples. His brother picked 39 apples. How many apples did Manuel and his brother pick in all?


71 � 23 � 18 �

A 89B 94C 102D 112


55 � 20 � 18 �

A 83B 92C 93D 98


PW16 Practice

Name Lesson 3.5

Model 3-Digit Addition

Use base-ten blocks to find each sum.

1. 128 � 356 � 2. 147 � 266 � 3. 594 � 245 �

4. 649 � 248 � 5. 392 � 455 � 6. 288 � 477 �

7. 388 � 256 � 8. 133 � 267 � 9. 818 � 103 �

Find each sum.

10. 821 �143

__

11. 765 �154

__

12. 217 �265

__

13. 291 �645

__

14. 608 �154

__

15. 309 �512

__

16. 485 �180

__

17. 789 �101

__

18. 236 �319

__

19. 167 �418

__

20. 189 �178

__

21. 248 �318

__

22. 378 �147

__

23. 320 �575

__

24. 256 �127

__

25. 444 �328

__

26. 701 �199

__

27. 225 �387

__

28. 821 �143

__

29. 765 �154

__


PracticePW17

Name Lesson 3.6

Add Greater NumbersEstimate. Then find each sum.

1. 205 � 582

__

2. 725 � 237

__

3. 317 + 445

__

4. 377 + 429

__

5. 199 + 534

__

6. 2,627 + 4,312

__

7. 2,336 + 5,248

__

8. 7,743 + 1,185

__

9. 6,812 + 2,309

__

10. 3,476 + 358

__

11. 2,503 + 2,507

__

12. 7,883 + 1,374

__

13. 3,612 + 4,174

__

14. 1,975 + 585

__

15. 2,109 + 1,177

__

16. 832 + 415 = 17. 2,358 + 5,329 = 18. 4,210 + 688 =


19. Megan flies 2,604 miles from Boston to Los Angeles to begin her vacation. She then flies the same distance to return home. What is the total distance that Megan flies?

20. Shawn has climbed 1,020 steps of the Eiffel Tower. He has 645 steps left to climb to reach the top. How many steps does the Eiffel Tower have in all?

21. Which is the sum of 2,485 and 821?

A 2,206B 3,306C 3,206D 4,306

22. Which is the sum of 5,093 and 1,652?

A 3,441B 6,645C 5,745D 6,745


Practice PW18

Name Lesson 3.7

Problem Solving Workshop Strategy: Predict and Test

Problem Solving Strategy PracticePredict and test to solve.

1. There were 300 people at the football game. There were 60 more students than adults at the game. How many students were at the football game?

2. The gym coach ordered a total of 56 basketballs and soccer balls for next year. He ordered 10 fewer basketballs than soccer balls. How many of each type of ball were ordered?

Mixed Strategy PracticeUSE DATA For 3–4, use the table below.

3. Sami and Juan had the same number of baseball cards. Then Sami received some baseball cards as a present. How many baseball cards did Sami receive as a present? Show your work.

4. Pete has 50 baseball cards of players that are pitchers. He has 25 baseball cards of players that are catchers. The rest are outfielders. How many baseball cards does Pete have that are of players that are outfielders? Show your work.

5. Tom spent $35 on a new helmet and kneepads. He spent $15 on a new football. At the end of the day he had $5 left. How much money did Tom have to start?

6. Sarah, Jose, and Mike sit in a row. If you face them, Mike is not sitting farthest to the left. Sarah is sitting to the right of Jose. Who is sitting in the middle?

Baseball Cards Collected

Sami

Pete

Juan

250

150

200

Number of CardsCollector


PW19 Practice

Name Lesson 3.8

Choose a MethodFind the sum. Tell which method you used.

1. 518 �220

__

2. 1,432 �2,305

__

3. 3,239 �2,521

__

4. 5,679 �3,295

__

5. 1,954 �1,756

__

6. 726 �384

__

7. 2,231 �4,765

__

8. 1,923 �1,855

__

9. 6,523 �1,365

__

10. 1,402 �4,509

__

11. 229

325 �558

__

12. 2,904

3,675 � 843

__

13. 2,163 �4,741

__

14. 5,239 � 761

__

15. 4,118

2,583 �1,236

__

Problem Solving and Test Prep16. A farmer planted 2,110 corn

plants and 3,481 potato plants in his fields. How many plants did the farmer plant in all?

17. A farmer plants 250 tomato plants and 345 cucumber plants. How many plants does the farmer plant in all? Can you use mental math to solve this problem? Explain.

18. Jerome flew 1,275 miles in August. He flew 386 miles in September. How many miles did Jerome fly in all?

A 4,761 miles C 2,661 miles

B 1,661 miles D 661 miles

19. On Saturday, Jim, his father, and his two brothers harvested 304 acres. On Sunday they harvested 255 acres. How many acres did they harvest in all? Explain what method you used.


PW20 Practice

Name Lesson 4.1

Algebra: Fact FamiliesComplete.

1. 6 � 4 � 2, so 2 � � 6 2. 3 � 8 � 11, so 11 � � 3

3. 12 � 9 � 3, so 9 � � 12 4. 7 � 6 � 13, so 6 � � 13

5. 8 � 8 � 16, so 16 � � 8 6. 17 � 9 � 8, so 8 � � 17

Write the fact family for each set of numbers.

7. 7, 8, 15

8. 5, 3, 8

9. 9, 9, 18

10. 6, 6, 12

11. 7, 6, 13

12. 2, 7, 9

Problem Solving and Test Prep13. Kara makes muffins. She has

12 eggs. She uses 2 eggs to make the muffins. How many eggs does Kara have left?

14. Reasoning How can you use 7 � 4 � 11 to find the missing number in 11 � � 4?

15. Which number sentence is in the same fact family as 6 � 5 � 11?

A 6 � 5 � 1 C 11 � 5 � 16B 11 � 5 � 6 D 7 � 4 � 11

16. Which number sentence is in the same fact family as 7 � 4 � 3?

A 3 � 4 � 7 C 7 � 3 � 10 B 4 � 3 � 1 D 13 � 6 � 7


PW21 Practice

Name Lesson 4.2

Estimate Differences

Use rounding or compatible numbers to estimate each difference.

1. 74 � 38

_

2. 52 � 26

_

3. 47 � 13

_

4. 65 � 32

_

5. 371 �159

__

6. 974 �126

__

7. 721 �358

__

8. 283 �154

__

9. 978 �447

__

10. 357 �197

__

11. 787 �268

__

12. 549 �324

__


13. About how much more was the weight of the white sturgeon marlin than the combined weight of the gar and the blue catfish?

14. About how much more did the white sturgeon weigh than the Nile perch weighed?

15. Tammy estimated 923 � 452. She rounded each number to the nearest hundred. Then she subtracted. What was Tammy’s estimate?

A 300B 400 C 500D 600

16. Joe estimated 659 � 382. He rounded each number to the nearest hundred. Then he subtracted. What was Joe’s estimate?

A 1,000B 300 C 200D 100

Gar

Nile Perch

Blue Catfish

White Sturgeon

279

213

111

468

Type of Fish Weight in Pounds

Largest Freshwater Fish Caught


PracticePW22

Name Lesson 4.3

Subtract 2-Digit NumbersEstimate. Then find each difference.

1. 79 � 53

_

2. 35 � 14

_

3. 63 � 45

_

4. 76 � 58

_

5. 55 � 16

_

6. 82 � 47

_

7. 68 � 31

_

8. 47 � 25

_

9. 97 � 19

_

10. 63 � 17

_

Find each difference. Use addition to check.

11. 56 � 41 � 12. 83 � 35 � 13. 67 � 31 �

14. 36 � 19 � 15. 66 � 15 � 16. 91 � 22 �

Problem Solving and Test Prep 17. The brown bear has an average

height of 48 inches. The American black bear has an average height of 33 inches. What is the difference between these two bear’s average heights?

18. An adult polar bear has a height of 63 inches. A polar bear cub has a height of 39 inches. What is the difference between these heights?

19. Tory sold 18 vacuums. She has delivered 7 of them. How many vacuums does Tory have left to deliver?

A 11 C 12 B 24 D 9

20. Ralph sold 45 glasses of lemonade. He has handed out 29 of them. How many glasses of lemonade does Ralph have left to hand out?

A 26 C 16 B 24 D 14


Name Lesson 4.4

Model 3-Digit SubtractionUse base-ten blocks to find each difference.

1. 494 � 271 � 2. 324 � 147 � 3. 549 � 255 �

4. 311 � 205 � 5. 757 � 483 � 6. 623 � 197 �

7. 388 � 265 � 8. 267 � 183 � 9. 706 � 258 �

Find each difference.

10. 765 �154

__

11. 821 �143

__

12. 665 �327

__

13. 821 �581

__

14. 387 �198

__

15. 309 �212

__

16. 485 �276

__

17. 784 �359

__

18. 319 �236

__

19. 418 �276

__

20. 189 �178

__

21. 548 �318

__

22. 707 �629

__

23. 845 �563

__

24. 956 �127

__

25. 752 �382

__

26. 607 �199

__

27. 387 �225

__

28. 900 �459

__

29. 765 �150

__


PracticePW24

Subtract Greater NumbersEstimate. Then find each difference.

1. 593 � 282

__

2. 377 � 188

__

3. 732 � 489

__

4. 654 � 386

__

5. 534 � 175

__

6. 4,657 � 2,132

__

7. 3,673 � 1,583

__

8. 7,526 � 5,649

__

9. 6,812 � 2,309

__

10. 3,476 � 967

__

11. 2,478 � 626

__

12. 7,388 � 6,374

__

13. 4,172 � 2,381

__

14. 5,672 � 825

__

15. 3,477 � 1,298

__

16. 784 � 547 � 17. 5,368 � 3,392 � 18. 5,265 � 389 �

Problem Solving and Test Prep19. Fast Fact There are 1,785

Indo-Chinese tigers left in the wild and 500 Sumatran tigers left in the wild. What is the difference in the number of Indo-Chinese tigers and the number of Sumatran tigers, left in the wild?

20. Today, there are 712 African mountain gorillas in the wild. Ten years ago there were 581 of these gorillas in the wild. How many more African mountain gorillas are in the wild today than there were 10 years ago?

21. What is the difference between 3,945 and 2,194?A 2,651B 1,741C 1,751D 1,851

22. What is the difference between 5,352 and 674?A 5,788B 5,322C 4,788D 4,678

Name Lesson 4.5



PracticePW25

Problem Solving Workshop Skill: Estimate or

Exact Answer

Problem Solving Skill PracticeTell whether you need an estimate or an exact answer. Then solve.

1. A Boeing 777 can carry 368 passengers. A Boeing 747 can carry 416 passengers. About how many passengers can the two planes carry in all?

2. Tony flies from Buffalo, NY to Springfield, IL. The first leg of his trip is 139 miles long. The second leg of his trip is 458 miles long. How many more miles is the second leg of his trip than the first leg of his trip?

Mixed ApplicationsUSE DATA For 3–4, use the map below.

3. Tanya is flying from Flagstaff to San Francisco to visit friends. About how many miles is her round trip flight? Which operation will you use to solve?

4. How many more miles is it to fly from San Francisco to Flagstaff than from San Francisco to Fresno? Which operation will you use to solve?

5. A Boeing 757 airplane can carry up to 208 passengers. Can the airplane carry 625 passengers if it takes 3 trips? Explain.

6. Luke has 3 coins in his pocket, totaling 31 cents. Luke eats pancakes for breakfast. Which coins does Luke have?

Name Lesson 4.6

SanFrancisco

Fresno Flagstaff

CA

AZ

161 miles

622 miles



PW26 Practice

Name Lesson 4.7

Subtract Across ZerosEstimate. Then find each difference.

1. 508 � 175

2. 400 � 329

3. 980 � 246

4. 5,600 � 4,193

5. 7,000 � 5,823

6. 6,088 � 1,697

7. 301 � 213

8. 7,508 � 1,384

9. 930 � 429

10. 5,000 � 3,779

Find each difference. Use addition to check.

11. 906 � 421 � 12. 4,000 � 3,724 � 13. 600 � 431 �


14. Juan wins tickets playing arcade games. He needs 400 tickets to purchase a beach ball. He already has 252 tickets. How many more tickets does Juan need?

15. Hannah already won 1,287 tickets playing arcade games. She needs 3,000 tickets to purchase a sweatshirt. How many more tickets does Hannah need?

16. Which number will make the number sentence true?

4,092 � 1,618 �

A 3,464B 2,564C 2,474D 2,464

17. Which number will make the number sentence true?

8,008 � 2,369 �

A 5,639B 5,739C 5,749D 6,639


PracticePW27

Choose a MethodFind the difference. Tell which method you used.

1. 518 � 315

__

2. 1,732 � 1,315

3. 3,925 � 1,521

4. 6,659 � 3,592

5. 9,945 � 1,467

6. 922 � 414

__

7. 4,675 � 2,198

8. 5,855 � 4,324

9. 6,235 � 1,527

10. 4,509 � 1,288

11. 909 � 558

__

12. 2,904 � 843

13. 4,613 � 2,741

14. 5,329 � 761

15. 4,118 � 1,236

16. 755 � 172 � 17. 3,218 � 1,125 � 18. 6,784 � 2,318 �


19. A polar bear at the zoo weighs 792 pounds. A giant panda at the zoo weighs 273 pounds. How many more pounds does the polar bear weigh than the giant panda weighs?

20. The cheetah can reach speeds of up to 66 miles per hour. The three-toed sloth can reach speeds of up to 8 miles per hour. What is the difference of these two speeds?

21. An adult zebra weighs 725 pounds. An adult Siberian tiger weighs 562 pounds. What is the difference in their weights?

A 163 pounds C 243 pounds

B 173 pounds D 263 pounds

22. A female hippopotamus weighs 3,086 pounds. A male hippopotamus weighs 6,198 pounds. How much more does the male hippopotamus weigh?

A 2,701 pounds C 3,112 pounds

B 3,012 pounds D 3,212 pounds

Name Lesson 4.8



PracticePW28

Problem Solving Workshop Skill: Choose the Operation

Problem Solving Skill PracticeTell which operation you would use. Then solve.

1. Julia read 128 pages in a book. She needs to read 175 more pages to finish it. How many pages total, are in the book?

2. The library has 325 books about animals. Of these, 158 are checked out. How many books about animals are still in the library?

3. Kara plans to put together a puzzle. The puzzle contains 225 pieces. She has put together 137 pieces. How many more pieces does Kara need to put together to complete the puzzle?

4. Jeremy had 529 coins in his collection. He collected 217 more coins. How many coins are now in Jeremy’s collection?

Mixed Applications USE DATA For 5–6, use the table below.

5. How many glasses of lemonade were sold in all?

6. On Saturday, the lemonade stand sold 15 glasses of lemonade. How many more glasses were sold on Saturday than were sold on Wednesday? Will you need an estimate or an exact answer?

7. The library contains 217 magazines that students can check out. Students have checked out 109 magazines. How many magazines are still available at the library for checkout?

Name Lesson 4.9

Glasses of Lemonade

Day Numbers ofGlasses Sold

Monday

Tuesday

Wednesday

Thursday

Friday

8

11

10

7

15




Name Lesson 5.1

Count Bills and CoinsWrite the amount.

1.

2.

3.

4.

Find two equivalent sets for each. List the coins and bills.

5. $4.45

6. $1.58

7. 85¢

8. $3.25

9. 50¢

10. $6.50

Problem Solving and Test Prep11. Reasoning Ana wants to buy a

book for $3.95. List the fewest types and amounts of bills and coins Ana can use.

12. Pete has three $1 bills, 2 quarters, 3 dimes, a nickel, and 4 pennies. How much money does Pete have in all?

13. Mike has two $1 bills, 3 quarters, and 2 nickels. How much money does Mike have in all?

14. Connor has four $1 bills, 1 quarter, 2 dimes, 5 nickels, and 3 pennies. How much money does Connor have in all?


Practice PW30

Name Lesson 5.2

Compare Money AmountsUse <, >, or = to compare the amounts of money.

1.

2.

Which amount is greater?

3. $7.95 or $7.89

4. $2.10 or nine quarters

5. 87¢ or 18 nickels

6. 2 dimes, 6 pennies or 1 quarter

Problem Solving and Test Prep 7. Aidan has 7 quarters, 3 dimes,

3 nickels, and 4 pennies. Maria has one $1 bill, 3 quarters, 2 dimes, and 3 nickels. Who has more money, Aidan or Maria? Explain.

8. Matt has 5 quarters, 6 dimes, and 4 nickels. Hal has $2.51. Who has more money, Matt or Hal? Explain.

9. Becky has only dimes. She has

more than 60¢. Which amount could Becky have?

A 75¢B 50¢C 81¢D 70¢

10. Danny has only quarters and dimes. He has at least 1 quarter and 1 dime. Which amount could Danny have?A 45¢B 31¢C 64¢D 40¢


Practice PW31© Harcourt • Grade 3

Name Lesson 5.3


Make a Table

Problem Solving Strategy PracticeElena has the bills and coins shown below. She wants to buy a card for $2.95.

Fill in the table to show equivalent sets of $2.95.

$1 Bills Quarters Dimes Nickels Pennies Total

Value

1. 3 2 0 0 $2.95

2 2 4 2. 0 $2.95

2 3. 4 0 5 $2.95

1 7 2 0 4. $2.95

1 6 4 5. 0 $2.95

1 6. 4 0 5 $2.95

1 7 1 1 5 $2.95


7. What are the two most popular types of books? How do you know?

8. What are the two least popular types of books?

Sports

Mystery

Fantasy

Science Fiction

7

3

7

4

Type Votes

Favorite Type of Book



Model Making ChangeFind the amount of change. Use play money to help.

1. Ali buys a collar for her dog for $4.69. She pays with a $10 bill.

2. Roger buys a banana for $0.49. He pays with a $1 bill.

3. Tanda buys a hamster for $10.99. She pays with two $10 bills.

4. Simone buys a juice box for $1.62. She pays with two $1 bills.

5. Finn buys a bouncy ball for $0.25. He pays with a $1 bill.

6. Samantha buys a pom-pom for $7.42. She pays with a $10 bill.

Problem Solving and Test Prep 7. Isaac buys sunglasses for $11.99.

He pays with two $10 bills. How much change does Isaac receive? List the coins and bills.

8. Zoe wants to buy a clown wig that costs $5.99 and face paint that costs $1.15. She has $6.10. Is this enough money? If not, how much more money does Zoe need?

9. Sally buys a book for $3.54. She pays with a $5 bill. How much change does she get?

A $2.46 B $1.54 C $1.46 D $8.54

10. Lori buys a CD for $7.11. She pays with a $10 bill. How much change does she get?

A $2.89 B $3.11 C $17.89 D $3.89

Name Lesson 5.4


Name Lesson 5.5

Add and Subtract Money AmountsEstimate. Then find the sum or difference.

1. $33.97 � $6.17

__

2. $27.43 � $15.68

__

3. $17.22 � $11.86

__

4. $19.03 � $4.79

__

5. $87.65 � $8.76

__

6. $17.42 � $12.98

__

7. $66.27 � $21.14

__

8. $54.58 � $34.99

__

9. $5.37 � $0.62

__

10. $46.07 � $28.73

__

11. $3.45 � $4.56 � 12. $18.29 � $2.21 �

13. $5.22 � $4.95 � 14. $25.99 � $15.87 �

15. $5.47 � $2.99 � $6.49 � 16. $27.89 � $13.25 �

Problem Solving and Test Prep17. Dax buys a toy dinosaur for $2.89

and a football for $9.99. How much money does Dax spend in all?

18. Gloria buys a bow for $2.99 and some ribbon for $1.59. She pays with $5.00. How much change does Gloria receive?

19. Ria buys knee pads for $6.98. She buys elbow pads for $5.98. How much does Ria spend in all?

A $11.99B $12.98C $12.96D $13.00

20. Gavin buys a watch for $8.42. He pays with a $10 bill. How much change does Gavin get?

A $1.58B $1.68C $1.76D $1.48


Name Lesson 5.6

Tell TimeWrite the time. Then write two ways you can read the time.

1.

2.

3.

4.

5.

6.

7. 8.

Problem Solving and Test Prep 9. James’ digital watch reads 2:45.

Write this time in words.

10. What does Mary’s digital watch show if the time is six minutes before eight?

11. Burt got up at quarter to seven. Which shows this time?

A 7:15 C 6:45 B 7:45 D 6:15

12. Write the time as it would look on Lauren’s digital watch at seventeen minutes after three.

8910

11 12

7 6 543

21

8910

11 12

7 6 543

211:45

8910

11 12

7 6 543

21

2:45

8910

11 12

7 6 543

21

8910

11 12

7 6 543

21

8910

11 12

7 6 543

21


Name Lesson 5.7

A.M. and P.M.Write the time for each activity. Use A.M. or P.M.

1. play basketball

2. eat lunch

3. go to the library

4. eat dinner

Write the time by using numbers. Use A.M. or P.M.

5. eight twenty in the morning

6. five minutes after three in the afternoon

7. fifteen minutes before eleven at night

8. six forty-five in the morning

Problem Solving and Test Prep 9. Martha plays soccer every

Saturday morning at 10 o’clock. Write this time using numbers. Use A.M. or P.M.

10. Diedra plays soccer on Sunday mornings at twenty minutes to twelve. Write this time using numbers. Use A.M. or P.M.

11. At which of the times shown are most third graders awake?

A 6:00 P.M.

B 12:00 A.M.

C 3:00 A.M.

D 11:00 P.M.

12. At which of the times shown are most third graders asleep?

A 6:00 P.M.

B 1:55 A.M.

C 3:00 P.M.

D 11:00 A.M.

5:308

910

11 12

7 6 543

21

8910

11 12

7 6 543

21

8910

11 12

7 6 543

21


Name Lesson 5.8

Model Elapsed TimeUse a clock to find the elapsed time.

1. Start: 3:15 P.M.End: 5:25 P.M.

2. Start: 12:11 P.M.End: 6:19 P.M.

3. Start: 9:55 A.M.End: 12:05 P.M.

4. Start: 4:00 A.M.End: 5:27 P.M.

5. Start: 9:57 A.M.End: 10:43 A.M.

6. Start: 8:08 P.M.End: 1:22 A.M.

Tell what time it will be.

7. 25 minutes after 1:15 P.M.


9. 2 hours after 10:30 A.M.


11. 74 minutes after 2:00 A.M.

12. 2 hours 30 minutes after 10:30 A.M.

Problem Solving and Test Prep13. Joyce left the house thirty-five

minutes after 8:20 A.M. What time did Joyce leave?

14. Carly took a walk at 5:05 P.M. She arrived home 40 minutes later. What time did Carly arrive home?

15. What time is 1 hour 20 minutes after 8:30 P.M.?

A 9:50 P.M.

B 8:50 P.M.

C 9:30 P.M.

D 9:50 A.M.

16. What time is 3 hours 15 minutes after 7:45 A.M.?

A 11:00 P.M.

B 10:45 A.M.

C 11:00 A.M.

D 10:15 A.M.

MXENL08AWK3X_PH_C05_L8.indd PW36 7/17/07 10:28:20 AM


Name Lesson 5.9

Use a CalendarFor 1–6, use the calendars.

1. Barbara planted grass seed on June 2. The grass started to grow on June 18. How many days did it take for the grass to start growing?

2. The school T-shirt sale runs for 14 days. The sale starts on May 6. On what date does it end?

3. Today is July 5, and it’s 9:00 A.M. Fran’s family is going on a trip beginning July 8 at noon. How long must Fran wait for her family’s trip to start?

4. On May 15, Ms. Paolo said that there would be a field trip 3 weeks from today. On what date will there be a field trip?

Problem Solving and Test Prep 5. Jamal’s family went to his cousin’s

house. The family left home at 8:00 A.M. on July 2. They returned home at 7:00 P.M. on July 5. How long was Jamal’s family away from their home?

6. Today is the second Saturday in June. How many weeks and days is it until the Fourth of July?

7. Suppose it is 9:00 P.M. on Thursday. Geremy’s party will be at 6:00 P.M. on Friday. How long is it until Geremy’s party?

8. Alexa’s party is May 12. Rianne’s party is May 18. How many days after Alexa’s party is Rianne’s party?

A 7 days

B 5 days

C 6 days

D 4 days

MaySun Mon Tue Wed Thu

4 5 6 7 8

1

9 10

11 12 13 14 15 16 17

18 19 20 21 22 23 24

25 26 27 28 29 30 31

2 3

Fri Sat

JuneSun Mon Tue Wed Thu

8 9 10 11 12

1

13

4 5 6 7

14

15 16 17 18 19 20 21

22 23 24 25 26 27 28

29 30

2 3

Fri Sat

JulySun Mon Tue Wed Thu

6 7 8 9 10 11

2 3 4 5

12

13 14 15 16 17 18 19

20 21 22 23 24

29 30 31

25 26

27 28

1

Fri Sat

PW37 Practice


1:00

9:00

10:00

Sequence EventsUse the calendar and the clocks. Which activity is earlier?

1. Math or Art

2. Tennis or Math

3. Geography or Study Hall


4. Liz read her book at 10:00 A.M., played ball at 6:00 P.M., and went to bed at 9:00 P.M. Which activity is earliest.

5. Austin went shopping June 9, Muriel went shopping April 2, and Cindi went shopping July 20. Who went shopping first?

6. Use the July calendar. Which event is Tommy going to do first?

A Piano C Swimming

B Fireworks D Visit Ted

7. Use the July calendar. Which event is Tommy going to do last?

A Piano C Swimming

B Fireworks D Visit Ted

Name Lesson 5.10

June

5 6 721 3 4

12

20

13 1498 10 11

19 211615 17 18

2726 282322

3029

24 25

Sun Mon Tue Wed Thu Fri Sat

Tennis

Math Art

July

5

6 7

2 1 3 4

12

13 14

9 8 10 11

19 16 15 17 18

Sun Mon Tue Wed Thu Fri Sat

VisitTed Fireworks

swimming PianoS

Racquetball

Study Hall

Geography

Practice PW39

Name Lesson 6.1

Collect DataFor 1–2, use the Musical Instruments table.

1. Make a tally table to organize the data.

2. How many students play musical instruments in all?

3. USE DATA How many more students are involved in scouting than are involved in gymnastics?

Problem Solving and Test Prep 4. Seven students voted for vanilla

ice cream and 4 for strawberry ice cream. How many students, in all, voted for vanilla or strawberry ice cream?

5. Four more students voted for soccer than voted for skating. If 12 students voted for soccer, then how many students voted for skating?

6. Paul made a tally table to record his friends’ votes for their favorite pizza. His chart shows next to cheese. How many voted for cheese?

A 4 C 15B 7 D 6

7. Amber made a tally table to record her family members’ votes for their favorite color. Her chart shows

next to yellow. How many voted for yellow?

A 18 C 15B 12 D 8

Baseball

Gymnastics

Scouting

7

3

8

Activity Number of Students

After-School Activities

Instrument Tally

Musical Instruments Students PlayJen

Lisa

Tarik

Randy

Jude

Leah

Audry

Sue

Marty

Debra

Piano

Violin

Clarinet

Piano

Violin

Guitar

Clarinet

Piano

Violin

Violin

Student Instrument

Musical Instruments



Practice PW40

Name Lesson 6.2

Read a PictographFor 1–3, use the pictograph below.

1. How many birds were sold on Thursday?

2. How many birds were sold from Thursday through Sunday?

3. On which two days combined were as many birds sold as on Saturday?

Problem Solving and Test Prep 4. Sal visited 5 national parks last

summer and 3 national parks this summer. How many national parks has Sal visited in the last two summers in all?

5. Reasoning A pictograph shows to stand for 12 parks.

How many parks does one stand for?

6. Natalie made a pictograph to show how many umbrellas she owns.This is her key. Each � 4 umbrellas. How many umbrellas does

stand for?

A 14 C 12B 9 D 17

7. Raul made a pictograph to show how many hats he owns. This is his key. Each � 5 hats. How many hats does stand for?

A 25 C 21B 20 D 15

Sunday

Saturday

Friday

Thursday

Number of Birds Sold

Key: Each � 3 birds.



PracticePW41

Name Lesson 6.3


Make a Graph

Problem Solving Strategy Practice 1. A group of students voted for their favorite U.S. state to visit. The results

are shown below. Make a pictograph for the data. Let each picture stand for 4 votes.

2. If the key were to be changed so that each picture stands for 2 votes, then how many pictures would be used to represent the number of students who voted for Wisconsin?

Mixed Strategy Practice 3. Chuck ate 2 pieces of watermelon before boarding the airplane. On the

airplane, Chuck ate 3 pieces of banana. How many pieces of fruit did Chuck eat in all? Show your work.

4. Betty has 19 dolls. She received one doll from her aunt last week and 4 dolls from other relatives since January 1st. How many dolls did Betty have at the end of last year?

Key: Each_______ = 4 votes.

Favorite U.S. State to VisitNebraska 8 votes

Delaware 12 votes

Wisconsin 10 votes

Alaska 4 votes



Practice PW42

Read a Bar GraphFor 1–2, use the Wait to Ride graph.

1. How much longer was the wait to ride the roller coaster than the wait to ride the Ferris wheel?

2. How long was the wait to ride all the rides one time?

For 3–5, use the Tickets for Each Ride graph.

3. How many tickets are needed to ride all the rides one time?

Problem Solving and Test Prep 4. Are more tickets needed to ride

the moon bounce and the water ride or the alpine slide and the roller coaster?

5. If each ticket costs 50 cents, how much money does it cost to ride all four rides one time?

6. Simon made a bar graph to show how many pets his friends have. Which pet has the longest bar?

A 1 dog

B 7 ferrets

C 8 parrots

D 3 cats

7. Leslie made a bar graph to show how many pieces of sports equipment her family members have. Which piece of sports equipment has the shortest bar?

A 1 racquet

B 4 helmets

C 10 baseballs

D 2 gloves

Name Lesson 6.4

Wait to Ride

05

101520253035

FerrisWheel

Merry-go-round

RollerCoaster

BumperCars

Tim

e (m

inut

es)

Ride

Tickets for Each Ride

0 2 4 6 8 10

Alpine Slide

Moon Bounce

Roller Coaster

Water Ride

Number of Tickets

Ride

12


PracticePW43

Name Lesson 6.5

Problem Solving Workshop Strategy: Make a Graph

Problem Solving Strategy PracticeUSE DATA For 1–5, use the table below.

Show the results by completing the bar graph below.

1. Write the title at the top of the bar graph.

2. Write the labels on the side and the bottom.

3. Write the four grades so as to identify each bar.

4. Choose a scale. Write the scale numbers starting at 0.

5. Draw a bar for each grade. Identify the correct number of cans for each grade.

Mixed Strategy Practice 6. Tim has 22 fireflies in a jar. Earlier some fireflies flew away. At the

beginning of the day Tim had 37 fireflies. How many fireflies flew away?

7. Casandra bought 9 piniatas. She returned 4 of them and bought 16 more of a different color scheme. How many piniatas does Casandra have now? Show your work.

First

Second

Third

Fourth

2

6

11

8

Grade Number of CansCollected

Food Cans Collected

1. ______________________

2. _

____

____

____

____

_

3._______ 3._______3._______ 3._______2. _______________________

_________________________________________________________________________________________________________________________________________________________________

4.



PracticePW44

Name Lesson 6.6

Take a SurveyFor 1–4, use the tally table and graphs to answer each question.

1. What is the title of the tally table, the pictograph, and the bar graph?

2. Which answers were collected for the survey?

3. How many students answered the survey in all?

4. Which answer was chosen the most? the least?

5. Think of a survey question and write it down.

6. Write 4 possible answer choices to your survey question.

7. Set up the tally table at the right to record the results of your survey.

0123456789

10

Plain Vanilla Cherry Peach

Flavor

Num

ber o

f Vot

es

Favorite Yogurt Flavor

Flavor Tally


Plain

Vanilla

Cherry

Peach Peach

Cherry

Vanilla

Plain


Key: Each � 3 votes.



PracticePW45

Name Lesson 6.7

Classify DataFor 1–5, use the table below.

1. How many small boxes are made with thick cardboard?

2. How many thin, cardboard boxes are medium?

3. How many boxes are large?

4. How many more boxes are small than are medium?

5. How many boxes are there in all?

For 6–10, use the geometric shapes shown below.

6. Complete the table below to classify the figures at the right.

7. How many diamonds are there in all?

8. How many figures are gray?

Problem Solving and Test Prep 9. What if one gray circle were

changed to a white diamond? What would the classification of figures be then?

10. What if a third row of 4 red squares were added to the 2 rows above? How would the table look then?

11. Which shows 2 ways to classify a group of shirts?A girl or boy

B quiet or loud

C nice or mean

D size or color

12. Which shows two ways to classify a group of sports balls?A happy or sad

B time or place

C size or material

D sound or smell

Circle

Diamond

2

White Gray

Geometric Figures

Small

Medium

Large

5

3

2

Size ThinCardboard

2

3

1

ThickCardboard

Moving Boxes



PracticePW46

Line PlotsFor 1–6, use the line plot below.

1. The x ’s on the line plot stand for the number of students. What do the numbers on the bottom stand for?

2. How many students carry more than 3 pencils?

3. What is the mode of the data?

4. What is the range of the data?

Problem Solving and Test Prep 5. How many students carry fewer

than 3 pencils?

6. What if two students, who each carry 4 pencils, each gives one pencil to a student who carries 3 pencils? How would the mode change?

7. Leslie made the line plot below.

What is the mode of the data?A 6 B 4 C 2 D 3

8. Victor made the line plot below.

What is the mode of the data?A 5 B 1 C 2 D 4

1 2 3 4 5 6 7 Number of Pencils Students Carry

Name Lesson 6.8

1 2 3 4 5 6 7 Number of Pencils Students Carry

1 2 3 4 5Number of Pens Students Carry



PracticePW47

Name Lesson 6.9

Algebra: Ordered PairsFor 1–12, use the grid below.Write the ordered pair for each letter.

1. A 2. B

3. C 4. D

5. E 6. F

Write the letter that names the point for each ordered pair.

7. (6, 5) 8. (5, 6)

9. (4, 4) 10. (2, 1)

11. (1, 0) 12. (5, 3)

For 13–17, use the grid below. 13. What ordered pair names the

location of the paintbrushes?

14. What is located at (5, 1)?

15. What is located at (1, 0)?

Problem Solving and Test Prep 16. What ordered pair names the

location of the plastic covers?

17. What ordered pair names the vertical point between the plastic covers and the paintbrushes?

18. Ryan drew a grid. He started at 0, moved 4 spaces to the right and 3 spaces up. At what point did Ryan end?

A (3, 4) C (4, 2)B (4, 3) D (2, 4)

19. Ronnie drew a grid. He started at 0, moved 2 spaces to the right and 3 spaces up. At what point did Ronnie end?

A (0, 2) C (3, 2)

B (2, 3) D (3, 0)

67

543210

1 2 3 4 5 6 7

SDA

V

RT

E X

BU C

F

5

4

3

2

1

01 2 3 4 5 6

plastic coverspaint

mixing area

paintbrushes

tape

paint cans


Practice PW48

Read a Line GraphFor 1–7, use the graph below.

1. How many centimeters of rain fell in January?

2. On which two months was the rainfall the same?

3. Between which 2 months did the rainfall increase by exactly 2 centimeters?

Problem Solving and Test Prep 4. Between which two consecutive

months did the rainfall increase the most?

5. Reasoning Would you expect the rainfall to continue to increase until next April? Explain.

6. How many centimeters of rain fell in February?

A 4 centimeters

B 6 centimeters

C 1 centimeter

D 5 centimeters

7. How many centimeters of rain fell in April?

A 4 centimeters

B 3 centimeters

C 10 centimeters

D 2 centimeters

Name Lesson 6.10

Rainfall

02468

1012

Jan Feb Mar Apr May JunRa

in in

Cen

timet

ers

Month




Probability: Likelihood of EventsThe bag below is filled with tiles of equal size. If you pull one tile, tell whether each event is likely, unlikely, certain, or impossible.

1. pulling a blue tile

2. pulling a red tile

3. pulling a white tile

4. pulling a yellow tile

5. pulling a tile

6. pulling a green, blue, yellow, or red tile

Problem Solving and Test PrepUSE DATA For 7–8, use the table. Ben pulls one prize from the bag without looking.

7. Is it certain or impossible that Ben will pull a stuffed toy?

8. Is it likely or unlikely that Ben will pull a red ball?

9. Pulling a green marble from this bag is .

A likely C certain

B unlikely D impossible

10. Pulling a white marble from this bag is .

A likely C unlikely

B certain D impossible

Name Lesson 7.1

Blue ball

Red ball

Green ball

3

5

1

Prize Number of Prizesin Bag

Prize Bag

B is blue G is greenR is red Y is yellow

GG

Y YB

G

RR

R

R

? ?



Name Lesson 7.2

Possible OutcomesFor 1–5, list the possible outcomes for each.

1. Elizabeth will pull a marble from the bag.

2. Joe will use the spinner.

3. Kai will pull a sock from the box.

4. Dan will toss a dime.

5. Hanson will pull a fish from the tank.

USE DATA For 6, use the spinner at the right.

6. John is going to use the spinner. What are the possible outcomes?

G is green

R is redS is striped

G

G

G

R

S S

Blue Yellow

Green

Red

Orange Green

Yellow Yellow

GreenGreen

BI is blackB is blue

W is white

WWW BBBI

R

BG B

G

BB

R is redB is blue

G is green



Name Lesson 7.3

ExperimentsFor 1–8, use the boxes of crayons. Each crayon is the same size.

1. In Box B, which outcomes are equally likely?

.

2. Which color crayon is most likely to be pulled from Box A?

3. What are the possible outcomes forBox A?

Problem Solving and Test Prep 4. A box of cookies, each of equal

size and shape, contains 4 raisin, 4 oatmeal, and 6 ginger cookies. Which cookie is most likely to be pulled?

5. Which outcomes are equally likely for a bag of marbles, each of equal size, with 2 red, 3 green, and 2 yellow marbles?

6. What is the probability of pulling a white tile from this bag?

7. Which describes the probability of pulling a gray marble without looking?

A 1 out of 10B 2 out of 10C 3 out of 10D 4 out of 10

Box A

blue

red

red

red

gree

n gr

een

gree

n gr

een

Box B

yello

w

brow

n br

own

brow

n br

own

purp

le

purp

le

purp

le

purp

le

W is white G is gray

WW

G

G G

G

G G

G

W



CombinationsMake a tree diagram to show all the combinations. Tell the number of combinations.

1. shoes: sneakers, loafers, boots

socks: blue, white, black

2. crayons: red, blue, green, purple

paper: lined, unlined

3. USE DATA Greg has the pants and shirts shown in the table. How many combinations of 1 shirt and 1 pair of pants can Greg make?

Problem Solving and Test Prep 4. Alice has 6 dresses and

4 sweaters. How many combinations of 1 dress and 1 sweater can Alice make?

5. Irene has 4 pairs of shoes and 3 handbags. How many combinations of 1 pair of shoes and 1 handbag can Irene make?

6. Andy has 4 shirts and 5 ties. How many combinations of shirt and tie are possible?

A 10B 9C 15D 20

7. Max has 3 hats and 4 shirts. How many combinations of hat and shirt are possible?

A 3B 7C 12D 20

Name Lesson 7.4

Blue

Grey

Brown

White

Blue

Pants Shirts

Greg’s Clothes


Practice PW53

Roast beef

Turkey

Ham

Swiss

Cheddar

White

Wheat

Meat Cheese Bread



Make an Organized List

Problem Solving Strategy Practice.USE DATA For 1–2, use the table.

1. Peter wants to make a sandwich with 1 type of meat and 1 type of bread. How many combinations of 1 meat and 1 bread can Peter make?

2. Liz wants to make a sandwich with 1 type of bread and 1 type of cheese. How many combinations of 1 bread and 1 cheese can Liz make?

Mixed Strategy Practice 3. Mara baked 60 muffins for her family. She wants to give each of her

20 family members the same number of muffins. How many muffins will each family member receive? Show your work.

4. USE DATA Jamal and his sister need school supplies. They each need 8 pencils, 10 markers, 10 color pencils, and 2 folders. How many packs of each type of school supply do Jamal and his sister need to buy? Make a model to help solve.

Name Lesson 7.5

Mar k ers

Pencils

F o lders

12

8

10

4

Type Number Per Pack

School Supplies

PencilsColor


PW54 Practice

Name Lesson 8.1

Algebra: Relate Addition to MultiplicationUse counters to model. Then write an addition sentence and a multiplication sentence for each.

1. 3 groups of 5

2. 4 groups of 7

3. 2 groups of 6

4. 4 groups of 6

Write the multiplication sentence for each.

5.

6.

7.

8. 5 � 5 � 5 � 15

9. 6 � 6 � 6 � 18

10. 7 � 7 � 7 � 21

11. 3 � 3 � 3 � 3 � 12

12. 8 � 8 � 8 � 24

13. 5 � 5 � 5 � 5 � 20

Problem Solving and Test Prep 14. Mike is baking apple bread. He

uses 2 apples for every loaf of bread. He makes 4 loaves of bread. How many apples does Mike use in all?

15. Cynthia is making small pizzas. She puts 4 mushrooms on each pizza. How many mushrooms does Cynthia use to make 3 pizzas?

16. What is another way to show

3 � 3 � 3 � 3?

A 4 � 3B 4 � 4C 3 � 12D 3 � 3

1 7. What is another way to show

6 � 6 � 6?

A 6 � 4 B 3 � 3

C 3 � 6 D 6 � 6


Practice PW55

Name Lesson 8.2

Algebra: Model with ArraysWrite a multiplication sentence for each array.

1.

2.

3.

4.

Problem Solving and Test Prep 5. Jerry put 30 cans of tomatoes in

6 equal rows. How many cans were in each row?

6. Maya pulled 6 carrots each, from 2 rows in her garden. She used 4 carrots to make soup. How many carrots, from those that she had pulled, did Maya have left?

7. Which is an example of the Commutative Property of Multiplication?

A 5 � 5 � 5 � 5 � 20B 5 � 9 � 9 � 5C (5 � 3) � 5 � 75D 0 � 9 � 0

8. Chet stacked blocks to make a wall. He used 32 blocks. He put 8 blocks in each row. How many rows did Chet make in all?


PracticePW56

Name Lesson 8.3

Multiply with 2Write a multiplication sentence for each.

1.

2.

3.

4.

Find the product.

5. 2 � 3

_

6. 5 � 2

_

7. 2 � 8

_

8. 2 � 6

_

9. 3 � 2

_

10. 2 � 4

_

11. 6 � 2

_

12. 2 � 7

_

13. 2 � 2

_

14. 7 � 2

_

15. 4 � 2

_

16. 9 � 2

_

Problem Solving and Test Prep 17. Seven friends go for a swim. Each

pays $2 to use the town pool. How much money do the friends pay in all to use the pool?

18. Darius and Marvin each wear 3 costumes in the school play. How many costumes do Darius and Marvin wear in all?

19. Savannah and George each wore 4 costumes. Which number sentence shows their total number of costumes worn?

A 2 � 4 � 8B 3 � 2 � 6C 5 � 2 � 7D 4 � 3 � 12

20. Lyle and Helen each ate 9 apples. Which number sentence shows their total number of apples eaten?

A 9 � 2 � 11B 9 � 3 � 27C 2 � 9 � 11D 2 � 9 � 18


PracticePW57

Name Lesson 8.4

Multiply with 4Find the product.

1. 4 � 8 � 2. 6 � 4 � 3. 4 � 9 � 4. 7 � 3 �

5. 4 � 5 � 6. 4 � 4 � 7. 2 � 4 � 8. 3 � 4 �

9. 4 � 3

_

10. 5 � 4

_

11. 4 � 6

_

12. 9 � 4

_

13. 7 � 4

_

14. 8 � 4

_

Problem Solving and Test Prep 15. Mary’s brother gave her some toy

cars. These toy cars had 36 wheels in all. How many toy cars did Mary receive?

16. Eli has 3 toy cars. Andy has 2 toy cars. Amanda has 3 toy cars. How many wheels do their toy cars have in all?

17. There are 6 rows of 5 cars on the toy shelf. How many cars are there in all?

A 6 � 5 � 1

B 6 � 6 � 36

C 6 � 5 � 11D 6 � 5 � 30

18. There are 4 rows of 8 cars on the toy shelf shelf. How many cars are there in all?

A 8 � 4 � 12B 8 � 4 � 36 C 4 � 8 � 32 D 4 � 7 � 28


PracticePW58

Name Lesson 8.5

Algebra: Multiply with 1 and 0Find the product.

1. 6 � 1� 2. 0 � 9 � 3. 1 � 4 � 4. 8 � 0 �

5. 0 � 6

_

6. 9 � 1

_

7. 4 � 0

_

8. 5 � 1

_

9. 3 � 0

_

10. 1 � 8

_

11. 2 � 1

_

12. 1 � 6

_

13. 1 � 4

_

14. 0 � 1

_

15. 3 � 1

_

16. 1 � 0

_

Write the multiplication sentence shown on each number line.

17.

18.

Find the missing number.

19. 5 � � 0 20. 1 � � 9 21. 7 � � 7 22. 0 � 52 �

Problem Solving and Test Prep 23. At a farm, Kaitlyn saw 9 rabbits.

Each rabbit was near 1 water bowl. How many water bowls did Kaitlyn see at the farm?

24. Cody saw 8 calves on his visit to a farm. None of the calves had horns. How many horns did Cody see at the farm?

25. Paul has 6 fishtanks. He has 1 fish in each tank. Which number sentence shows how many fish Paul has?

A 2 � 6 � 12 C 6 � 1 � 6B 0 � 6 � 6 D 6 � 6 � 1

26. Ivan has 7 boxes. There are 0 pencils in each box. Which number sentence shows how many pencils Ivan has?

A 7 � 0 � 7 C 7 � 1 � 1B 0 � 7 � 0 D 1 � 7 � 8

2 3 4 5 6 7 8102 3 4 5 6 7 810


PracticePW59

Name Lesson 8.6

Multiply with 5 and 10Find the product.

1. 10 � 7 � 2. � 5 � 4 3. 8 � 10 � 4. � 5 � 7

5. 0 � 10 � 6. � 10 � 4 7. 5 � 1 � 8. � 10 � 3

9. 2 � 5 � 10. 10 � 0 � 11. 10 � 8 � 12. � 5 � 3

13. 3 �5

_

14. 10 � 1

_

15. 5 �5

_

16. 4 �5

_

17. 5 �10

_

18. 10 � 7

_

19. 10 � 4

_

20. 9 �5

_

21. 7 �5

_

22. 5 �1

_

23. 5 �6

_

24. 10 � 9

_

Problem Solving and Test Prep 25. A car can carry up to 5 people.

There are 6 cars? What is the maximum number of people who can ride in these cars at one time?

26. The entire school choir is standing in 6 rows with 10 students in each row. How many students are in the school choir?

27. A tableware setting includes 5 pieces: 2 spoons, 2 forks, and 1 knife. How many pieces are included in 8 tableware settings in all?

A 13 B 20 C 40 D 80

28. A doctor can help 10 patients each day. If an office employs 5 doctors, how many patients can they help each day in all?

A 15 B 50 C 100 D 150


PracticePW60

Problem Solving Workshop Strategy: Draw a Picture

Problem Solving Strategy PracticeFor 1-3, draw a picture to solve.

1. Mr. Jardin has 8 tomato plants. On each tomato plant there are 7 ripe tomatoes. How many ripe tomatoes does Mr. Jardin have in all?

2. In a marching band, there are 4 rows of horn players. Each row has 9 horn players. How many horn players are in the marching band in all?

3. Four students at a table have apple slices in their lunches. If each student has 6 slices, how many apple slices are at the table in all?

Mixed Strategy Practice 4. There are 8 drummers in the

marching band. Each drummer has 2 drum sticks. How many drum sticks do the drummers have in all?

5. Matthew is making a large pizza for his party. There will be 8 people at the party. Each person will eat 1 slice. How many slices should Matthew cut the pizza into?

6. At Adam’s lunch table, 7 students have one serving of peas each and no one has spinach. How many servings of peas and spinach are at Adam’s lunch table in all? Show your work.

7. Lea makes a necklace with 5 beads. She strings a red bead first and last. The second and fourth beads are yellow. The middle bead is orange. Describe the pattern of beads.

Name Lesson 8.7




Name Lesson 9.1


1. 4 � 3 � 2. 7 � 3 � 3. � 3 � 9

4. � 5 � 3 5. � 3 � 3 6. 5 � 3 �

7. � 3 � 8 8. 6 � 3 � 9. � 3 � 0

10. 6 �3

_

11. 3 �1

_

12. 4 �3

_

13. 8 �3

_

14. 7 �3

_

15. 9 �3

_

16. 0 �3

_

17. 3 �3

_

Problem Solving and Test Prep 18. An apartment complex has

3 buildings. Each building has 6 apartments. How many apartments are there in all?

19. A boat can carry 3 people. How many people can 8 boats carry?

20. There are 10 hamburger buns in each of 3 bags. How many hamburger buns are there in all?

A 8B 11C 16D 30

21. A pint of ice cream serves 3 people. How many people are served by 5 pints of ice cream?

A 3B 5C 15D 30


Name Lesson 9.2


1. 9 � 6 � 2. � 6 � 8 3. 4 � 6 �

4. � 6 � 7 5. 6 � 1 � 6. � 6 � 6

7. 6 � 0 � 8. � 5 � 6 9. 5 � 5 �

10. 4 �6

_

11. 9 �6

_

12. 6 �8

_

13. 6 �1

_

14. 6 �9

_

15. 6 �7

_

16. 2 �6

_

17. 6 �6

_


18. A lecture room contains 9 rows with 6 chairs in each row. How many chairs are in the lecture room in all?

19. Lila sees 6 ducks. Each duck has 2 wings. How many wings do the ducks have in all?

20. Ken has 6 pages of stickers. Each page has 8 stickers. How many stickers does Ken have in all?

A 40

B 46 C 48 D 60

21. Heavy-duty pickup trucks hold 6 tires. How many tires do 5 heavy-duty pickup trucks hold in all?

A 30 B 36 C 55 D 60


Name Lesson 9.3


1. 8 � 3 � 2. 10 � 8 � 3. 0 � 8 � 4. 7 � 5 �

5. 7 � 9 � 6. 8 � 4 � 7. 8 � 9 � 8. 4 � 4 �

9. 8 � 7

_

10. 1 � 8

_

11. 3 � 7

_

12. 3 � 8

_

13. 6 � 3

_

14. 9 � 8

_

15. 6 � 8

_

16. 4 � 8

_

17. 2 � 9

_

18. 8 � 2

_

19. 8 � 8

_

20. 5 � 8

_


21. If Kaylie’s beanstalk grows the same amount every week, then how tall will it be after 6 weeks?

22. If the beanstalks grow the same amount each week, then how much taller than Amy’s beanstalk will Kaylie’s beanstalk be, after 8 weeks?

23. A ladder is 8 feet tall. How many feet tall are 3 ladders, stacked?

A 21 C 23B 24 D 28

24. There are 6 pieces of fruit in a bag. How many pieces of fruit are in 8 bags?

A 42 C 45B 48 D 14

Kaylie

Bret

Amy

8 inches

6 inches

4 inches

Student Height of Beanstalk

Growth of Beanstalks in Their First Week


Name Lesson 9.4

Algebra: Patterns with 9Find each product.

1. � 9 � 3 2. 9 � 4 � 3. � 9 � 8 4. 9 � 5 �

5. 7 � 9 � 6. � 3 � 4 7. 9 � 9 � 8. � 5 � 4

9. 9 �1

_

10. 9 �2

_

11. 6 �3

_

12. 9 �6

_

13. 9 �7

_

14. 9 �8

_

Compare. Write �, �, or � for each .

15. 5 � 8 6 � 7 16. 9 � 3 4 � 7 17. 3 � 6 2 � 8

18. 4 � 3 2 � 6 19. 9 � 4 6 � 6 20. 9 � 5 8 � 4


21. A model of our solar system once included 9 planets. How many planets were in 8 models?

22. Bob has 4 plants. Ron has 9 times as many plants as Bob has. How many plants does Ron have?

23. Ivan has 3 sheets of moon stickers. Each sheet has 9 stickers on it. How many stickers are there in all?

A 6B 9C 18D 27

24. Ms. Lee has 4 strips of tickets. Each strip has 9 tickets. How many tickets are there in all?

A 4B 9C 13D 36


Name Lesson 9.5


1. 7 � 3 � 2. 9 � 7 � 3. 7 � 8 � 4. 6 � 5 �

5. 7 � 1 � 6. 4 � 7 � 7. 6 � 8 � 8. 5 � 7 �

9. 8 � 5

_

10. 2 � 7

_

11. 6 � 7

_

12. 7 � 7

_

13. 9 � 7

_

14. 7 � 5

_

15. 4 � 6

_

16. 7 � 4

_

17. 8 � 7

_

18. 9 � 3

_

19. 7 � 1

_

20. 7 � 6

_


21. Molly is going to make snack mix for Ben’s party. She wants to make 7 batches. How many cups of wheat cereal will Molly need?

22. If Molly makes 7 batches of snack mix, how many cups of snacks will she need in all?

23. Adriana walks 4 miles a day. How many miles does she walk in one week?

A 14 miles

B 21 miles

C 28 miles

D 35 miles

24. Dan runs 3 miles a day. How many miles does he runin one week?

A 14 miles

B 21 miles

C 28 miles

D 35 miles

Wheat Cereal

Rice Cereal

Pretzels

4

2

1

Snack Number of Cups

Snack Mix Recipe for 1 Batch


Name Lesson 9.6


Compare Strategies

Problem Solving Strategy Practice 1. Bobcats can have a litter of 3 kittens. What is the maximum number of

kittens that 7 bobcats could have?

2. June goes hiking 4 times each week. How many times does June go hiking in 6 weeks?

Mixed Strategy Practice 3. USE DATA How many students

voted for a favorite sandwich in all? Show your work.

4. Helena bakes cookies. She wants to bake 3 cookies for each of her 8 friends. How many cookies does Helen need to bake in all? Show your work.

Ham

Turkey

Roast Beef

6

8

3

Sandwich Votes

Favorite Sandwiches

Draw a picture to solve. Make a table to solve.

Draw a picture to solve. Make a table to solve.



Name Lesson 9.7

Algebra: Multiplication Facts Through 12Find the product.

1. 10 � 8 � 2. 3 � 0 � 3. � 4 � 6

4. � 9 � 3 5. 12 � 5 � 6. � 11 � 8

7. � 1 � 5 8. 6 � 10 � 9. 11 � 3 �

10. 12 � 4

_

11. 6 �6

_

12. 12 � 1

_

13. 7 �5

_

Problem Solving and Test Prep 14. A cow eats 2 bales of hay in one

week. How many bales of hay does a cow eat in 6 weeks?

15. Ryan has 21 baseballs. If he keeps them in 3 even rows, how many baseballs are in each row?

16. There area 11 desks in each of 8 rows. How many desks are there in all?

A 96 C 72 B 88 D 77

17. Leslie has 7 bracelets. There are 12 charms on each bracelet. Explain how you would find the total number of charms on all of Leslie’s bracelets.


Name Lesson 10.1

Find a RuleWrite a rule for each table. Then complete the table.

1.

2.

3.

4.


5. Write a rule for the information in this table.

Canoes 1 2 3 4

Campers 3 6 9

6. How many campers can fit into 4 canoes?

7. Two sandwiches cost $6 and three sandwiches cost $9. Sara wants to buy 5 sandwiches. How much will she spend?

A $15 C $18B $16 D $27

8. Five pencils cost $1 and ten pencils cost $2. Jack wants to buy 25 pencils. How much will he spend?

A $19 C $5B $7 D $10

Children 1 2 3 4 5

Number of Hats

5 10

Games 2 3 4 5 6

Players 6 9

Maps 3 4 5 6 7

Campers 6 8

Maps 1 2 3 4 5

Cost $4 $8



Name Lesson 10.2

Missing FactorsFind the missing factor.

1. � 5 � 30 2. � 7 � 28 3. 4 � � 16

4. � 9 � 27 5. 9 � � 36 6. � 8 � 56

7. 5 � � 40 8. 6 � � 48 9. � 3 � 18

10. n � 7 � 56

11. 5 � k � 45

12. 3 � g � 12

13. d � 5 � 10 � 5

14. 4 � t � 8 � 3

15. a � 7 � 30 � 2

Problem Solving and Test Prep 16. Chloe departs on a camping trip.

She brings enough food for 18 meals. She plans to eat 3 meals each day. How many days’ worth of meals does Chloe bring?

17. Lisa plans to have a cookout. She wants to make 18 burgers. The rolls she sees for sale come in packages of 6. How many packages of rolls does Lisa need to buy?

18. What is the missing factor?

� 4 � 36

A 6B 7C 8 D 9

19. What is the missing factor?

6 � � 24

A 3B 4C 6D 8



Name Lesson 10.3

Multiply 3 FactorsFind the product. Write another way to group the factors.

1. (4 � 2) � 3

2. 7 � (2 � 4)

3. (5 � 1) � 9

4. (3 � 3) � 2

5. 6 � (2 � 2)

6. (4 � 1) � 4

7. (2 � 3) � 6

8. 7 � (2 � 2)

Use parentheses. Find the product.

9. 2 � 3 � 5

10. 1 � 7 � 6

11. 3 � 2 � 6

12. 4 � 2 � 7

13. 3 � 3 � 9

14. 6 � 4 � 2

15. 7 � 8 � 1

16. 9 � 3 � 2

Find the missing factor.

17. (3 � ) � 5 � 30 18. 7 � ( � 2) � 42 19. ( � 4) � 6 � 48

Problem Solving and Test Prep20. A roller coaster has 2 trains. Each

train has 10 rows of seats. Each row has 2 seats. How many seats are on the roller coaster in all?

21. A roller coaster has 5 cars. Each car has 2 rows of seats. Each row has 2 seats. How many seats are on the roller coaster in all?

22. Multiply. 4 � 5 � 2 � A 18B 20C 40D 50

23. Multiply. 6 � 3 � 3 � A 44B 54C 60D 24


Name Lesson 10.4

Multiplication PropertiesFind the product. Tell which property you could use.

1. 4 � 3

2. 1 � 9

3. 7 � 0

4. (2 � 3) � 6

5. 4 � 9

6. 2 � (3 � 3)

7. 8 � 1

8. 7 � 3

9. 0 � 5

10. 6 � 7

11. 4 � (5 � 1)

12. 6 � 3

Problem Solving and Test Prep13. Holly bought 4 balls of yarn. Each

ball of yarn cost $7. How much money did Holly spend?

14. Alice wants to knit 3 hats. She needs 2 balls of yarn for each hat. How many balls of yarn will Alice use?

15. Which is an example of the Zero Property?

A 2 � 1 � 2B 2 � 7 � 7 � 2C 2 � 0 � 0D 2 � 7 (2 � 4)� (2 � 2) � 4

16. Which is an example of the Associative Property?

A 4 � 6 � 6 � 4B (2 � 2) � 5 � 2 � (2 � 5)C 0 � 7 � 0 D 8 � 1 � 8


Name Lesson 10.5

Problem Solving Workshop Skill: Multistep Problems

Problem Solving Skill Practice 1. Tickets for a movie cost $8 for adults and $6 for children. The Kim family

buys 5 tickets. They buy 2 adult tickets and 3 child tickets. How much money does the Kim family spend in all?

2. A summer camp rented 2 canoes and 3 paddleboats. Each canoe holds 3 people, and each paddleboat holds 4 people. How many people in all can go out on the canoes and paddleboats that the summer camp rented?

3. Stan is at the circus. He buys 4 drinks and 2 sandwiches. The drinks cost $3 each, and the sandwiches cost $4 each. How much money does Stan spend in all?

Mixed Applications 4. USE DATA Jane went shopping for school

supplies. She bought 2 packages of pens and 3 erasers. How much money did Jane spend in all? Will you need an estimate or an exact answer?

5. David received a bike from his uncle. He rode his bike 7 miles the first week he had it, and 10 miles the second week he had it. During the third week, David rode his bike twice as many miles as he had ridden it the first two weeks combined. David rode his skateboard 3 miles. How many miles did David ride his bike during the third week that he had it?

Pens

Markers

Erasers

Folders

$3 per package

$6 per package

$1 each

50¢ each

Item Cost

School Supplies



Name Lesson 11.1

Model Division

Complete the table. Use counters to help.

Counters Number of Equal Groups Number in Each Group

1. 24 4

2. 32 8

3. 35 7

4. 18 6

5. 21 7

6. 24 3

7. 18 2

8. 36 9

9. 36 6


10. Gary has 45 stickers. He wants to put the same number of stickers on each of 9 pages, in his sticker book. How many stickers will Gary put on each page?

11. Alice has 18 shells. She wants to put the same number of shells in each of 3 jars. How many shells will Alice put in each jar?

12. Hillary has 9 candles. She puts 3 candles on each table. How many tables does Hillary use in all?

A 2B 3C 4D 5

13. Al has 16 coins. He puts 4 coins in each box. How many boxes does Al use in all?

A 4B 3C 6D 8


Name Lesson 11.2

Relate Division and Subtraction

Write a division sentence for each.

1.

2. 24 � 6

_

18

18 � 6

_

12

12 � 6

_

6

6 � 6

_

0

Use a number line or repeated subtraction to solve.

3. 12 � 3 � 4. 20 � 4 � 5. 21 � 3 � 6. 15 � 5 �

7. 3 � � 18 8. 6 � � 30 9. 4 � � 28 10. 7 � � 42

Problem Solving and Test Prep11. Olivia went apple picking.

She picked 48 apples. She put 6 apples in each of her baskets. How many baskets did Olivia use?

12. Randy has 72 photographs. He puts his photographs into 8 equal groups. How many photographs are in each group?

13. Tanya collected 5 stamps each week. She collected 10 stamps in all. For how many weeks did Tanya collect stamps?

A 2 weeks

B 24 weeks

C 3 weeks

D 8 weeks

14. Sal collected 4 seedlings each day. He collected 20 seedlings in all. For how many days did Sal collect seedlings?

A 8 days

B 5 days

C 20 days

D 12 days

0 1 2 8 9 103 4 5 6 7



Name Lesson 11.3

Model with ArraysUse square tiles to make an array. Solve.

1. How many groups of 5 are in 25?












Make an array. Write a division sentence for each one.

13. 6 groups of 18 tiles

14. 7 groups of 28 tiles

15. George made an array with 70 tiles. He placed 7 tiles in each row. How many rows did George make in all?


Name Lesson 11.4

Algebra: Multiplication and DivisionComplete.

1.

6 rows of � 18

18 � 6 �

2.

2 rows of � 12

12 � 2 �

3.

7 rows of � 28 28 � 7 �

Complete each number sentence. Draw an array to help.

4. 3 � � 24 5. 4 � � 32 6. 6 � � 24

24 � 3 � 32 � 4 � 24 � 6 �

7. 9 � � 36 8. 2 � � 12 9. 7 � � 35

36 � 9 � 12 � 2 � 35 � 7 �

Complete.

10. 3 � 3 � 18 � 11. 32 � 8 � � 2 12. � 1 � 35 � 7

Problem Solving and Test Prep13. Karen has 15 tickets. A hot dog

costs 5 tickets. How many hot dogs can Karen buy?

14. Molly is going to the movies with her friends. She has $40. Each ticket costs $8. How many tickets can Molly buy?

15. In a parade, there are 24 camels marching in 4 equal rows. How many camels are in each row?

A 5 C 4B 6 D 7

16. In a fish tank, there are 42 fish swimming in 6 equal rows. How many fish are in each row?

A 5 C 7B 6 D 8


Name Lesson 11.5

Algebra: Fact FamiliesWrite the fact family for each array.

1. 2.

Write the fact family for each set of numbers.

3. 4, 6, 24

4. 2, 9, 18

5. 5, 7, 35

Complete each fact family.

6. 7 � � 42

6 � 7 �

42 � � 6

42 � 6 �

7. 9 � 6 �

6 � � 54

54 � 9 �

54 � � 9

8. 3 � 8 �

8 � � 24

24 � 3 �

� 8 � 3

9. � 5 � 20

5 � � 20

� 5 � 4

20 � 4 �

Problem Solving and Test Prep10. Al buys a pack of watercolor

paints that includes 12 colors. There are 2 colors in each of 6 rows. What is the fact family for the numbers 2, 6, and 12?

11. There are 18 cookies on a dish. There are 6 cookies in each of 3 rows. What is the fact family for the numbers 3, 6, and 18?

12. Which number sentence is not

included in the same fact family as 7 � 3 � 21?

A 21 � 3 � 7 C 21 � 7 � 3B 20 � 4 � 5 D 3 � 7 � 21

13. Which number sentence is not included in the same fact family as 24 � 3 � 8?

A 24 � 8 � 3 C 8 � 3 � 24B 24 � 6 � 4 D 3 � 8 � 24


Name Lesson 11.6


Write a Number Sentence

Problem Solving Strategy PracticeChoose the number sentence from the box.Solve.

1. Matt has 5 T-shirts. Adam has 12 T-shirts. How many more T-shirts does Adam have than Matt has?

2. Isabelle has 8 books in her desk drawer. She brought 4 more books from home. How many books does Isabelle have in her desk drawer in all?

3. A bag of marbles costs 60 cents. Each marble costs 10 cents. How many marbles are in the bag?

4. There are 4 invitations in a box. Mrs. Hannah bought 8 boxes. How many invitations did Mrs. Hannah buy?

Mixed Strategy Practice5. USE DATA Tyler spent $40 on

blue tickets. How many blue tickets did Tyler buy? Predict and test to solve.

6. Mary spent $8 on a movie ticket, $12 on videogames, and $15 on lunch. How much money did Mary spend in all?

7. Randall spent $75 on tickets. Marty paid Randall $25 for tickets. Jean paid Randall $12. How much of his own money did Randall spend?

60 � 10 � 8 � 4 �

4 � 8 � 12 � 5 �

Yellow

Green

Blue

$2

$3

$5

Color Cost

Raffle Tickets


Name Lesson 12.1

Divide by 2 and 5Find each quotient.

1. 6 � 2 � 2. � 25 � 5 3. 15 � 5 � 4. � 8 � 2

5. 12 � 2 � 6. � 10 � 5 7. 18 � 2 � 8. � 30 � 5

9. 20 � 5 � 10. � 16 � 2 11. 5 � 5 � 12. � 4 � 2

13. 2 � � 14 14. 5 � � 45 15. 2 � � 2 16. 5 � � 35

17. 2 � � 10 18. 5 � � 40 19. 2 � � 16 20. 5 � � 20

Problem Solving and Test Prep 21. Martin bought 40 pounds of

birdseed. He bought birdseed in 5-pound packages. How many packages of birdseed did Martin buy?

22. FAST FACT Each female hummingbird lays 2 eggs. If a researcher finds 10 eggs in one area, how many female hummingbirds are in the area?

23. Sarah sees the same number of birds at 3 different bird feeders. She sees 12 birds in all. How many birds does Sarah see at each bird feeder?A 4B 5C 6D 7

24. Greg sees the same number of birds for 5 days. He sees 20 birds in all. How many birds does Greg see each day?

A 4B 5C 6D 7



Name Lesson 12.2


1. 12 � 3 � 2. � 20 � 4 3. 21 � 3 � 4. � 8 � 4

5. 16 � 4 � 6. � 9 � 3 7. 15 � 5 � 8. � 32 � 4

9. 18 � 2 � 10. � 27 � 3 11. 6 � 3 � 12. � 12 � 4

13. 4 � � 28 14. 3 � � 30 15. 3 � � 18 16. 4 � � 24

17. 3 � � 27 18. 4 � � 32 19. 4 � � 28 20. 3 � � 24

Problem Solving and Test Prep21. There are 24 students signed up

for the relay race. Each team needs 4 students. How many teams will there be in the relay race?

22. If 21 students want to sit evenly at 3 tables, then how many students will be at each table?

23. Jeremy has 36 crackers. He puts 4 crackers in each bag. How many bags does Jeremy fill?

A 6B 7C 8D 9

24. Lea has 27 beads. She makes 3 bracelets. How many beads are on each bracelet?

A 9B 8C 7D 6

PW81© Harcourt • Grade 3

Practice

Name Lesson 12.3

Division Rules for 1 and 0Find each quotient.

1. 5 � 5 � 2. � 0 � 4 3. 3 � 1 � 4. � 0 � 9

5. 8 � 1 � 6. � 7 � 7 7. 10 � 2 � 8. � 6 � 1

9. 0 � 2 � 10. � 18 � 3 11. 4 � 1 � 12. � 2 � 2

13. 1 � � 0 14. 3 � � 3 15. 1 � � 9 16. 5 � � 35

17. 8 � � 8 18. 5 � � 0 19. 4 � � 36 20. 4 � � 4

Problem Solving and Test Prep 21. There are 7 stables at the Green

Pastures Horse Farm. There are 7 horses that live on the farm. How many horses are in each stable, if there are an equal number of horses per stable?

22. Trevor plans to give 3 grapes to each parrot in a store. There is 1 parrot in the store. How many grapes does Trevor give to parrots in the store?

23. Katherine has 5 cages. There is 1 bird in each cage. How many birds are there?

A 0B 1C 5D 10

24. Riviera has 10 bags. There are 0 marbles in each bag. How many marbles are there?

A 0B 1C 2D 4


Name Lesson 12.4

Find each missing factor and quotient.

4. 4 � � 36 36 � 4 � 5. 3 � � 0 0 � 3 �

6. 3 � � 18 18 � 3 � 7. 5 � � 20 � 20 � 5

Problem Solving and Test Prep 8. The craft store sells beads in

packages of 4. Tara needs24 beads for a project. How many packages of beads does Tara need to buy?

9. Two brothers sell lemonade in their neighborhood. They make $6 on Saturday. How much money should each brother receive if they split this money evenly?

10. Which division sentence is related to 3 � 4 � 12?

A 24 � 2 � 12B 4 � 2 � 2C 12 � 6 � 2D 12 � 3 � 4

11. Dr. Russ has 12 nurses on his staff. He needs to divide them into equal groups of 4 for a lecture. Explain how you could use a number line to find how many groups there will be.

Algebra: Practice the FactsWrite a division sentence for each.

1.

2.

3.

0 81 2 3 4 5 6 7



Name Lesson 12.5

Problem Solving Workshop Skill: Choose the Operation

Problem Solving Skill PracticeFor 1–3, choose the operation. Write a number sentence. Then solve.

1. The Murphy family spent $36 for 4 evenly-priced tickets to the nature center. How much did each ticket cost?

2. There were 27 children and 9 adults on the nature center tour. How many people were on the tour in all?

3. The nature center has a petting zoo with 5 areas. Each area has the same number of animals. There are 25 animals in the petting zoo. How many animals are in each area?

Mixed Applications 4. USE DATA Martha only hikes the

Echo Trail. However, Martha hikes this trail 3 times each week. Martha takes pictures of birds on the trail. How many miles does Martha hike each week?

5. Cora, Sal, Marty, and Jane are standing in a line. Jane is first in line. Marty is behind Cora. Cora is in front of Sal. Sal is behind Marty. In what order are the four people standing in line?

6. Anna needs 28 balloons. They come in packages of 4, 6, or 9 balloons. How many of each package should she buy in order to have the exact amount of balloons she needs?

Echo Trail

View Trail

Pine Trail

Green Trail

Steep Trail

4 miles

12 miles

47 miles

15 miles

23 miles

Trail Name Distance

Nature Trails



Name Lesson 13.1

Divide by 6Find each missing factor and quotient.

1. 6 � � 42 42 � 6 � 2. 6 � � 24 24 � 6 �

3. 7 � � 42 42 � 7 � 4. 6 � � 60 60 � 6 �

Find each quotient.

5. 42 � 6 � 6. 24 � 3 � 7. � 48 � 6 8. � 12 � 6

9. 54 � 6 � 10. � 35 � 5 11. 18 � 3 � 12. � 45 � 9

Problem Solving and Test Prep13. Toni bought 24 hotdogs. They

came in packages of 6. How many packages of hotdogs did Toni buy?

14. Kara brought 36 buns to a picnic. Each package contained 6 buns. How many packages of buns did Kara bring?

15. The same number of books are on each of 6 shelves, There are 42 books in all. How many books are on each shelf?

A 8B 6

C 5D 7

16. The same number of peaches are in each of 6 bags. There are 30 peaches in all. How many peaches are in each bag?

A 8B 6C 5D 7


Name Lesson 13.2

Divide by 7 and 8

Find each missing factor and quotient.

1. 8 � � 48 48 � 8 � 2. 7 � � 28 28 � 7 �

3. 8 � � 24 24 � 8 � 4. 8 � � 32 32 � 8 �

Find each quotient.

5. 56 � 8 � 6. 21 � 7 � 7. � 35 � 7 8. � 16 � 2

9. 7 � 1 � 10. � 70 � 7 11. 32 � 8 � 12. � 72 � 8


13. The Williams family went camping at a lake. There are 56 members in the Williams family. Each cabin holds 8 people. How many cabins did the Williams family rent?

14. Juana bought juice boxes for a camping trip. She needed 40 juice boxes. They came in packages of 8. How many packages of juice boxes did Juana buy?

15. There are 35 geese in 7 equal rows. How many geese are in each row?

A 8B 7C 5D 6

16. There are 64 base drums in 8 equal rows. How many base drums are in each row?

A 7B 12C 3D 8


Name Lesson 13.3


Work Backward

Problem Solving Strategy PracticeWork backward to solve.

1. Rachel spent $2.25 on a snack. Then her mom gave her $4.00. Now, Rachel has $9.25. How much money did Rachel have to start?

2. Abby cut a piece of construction paper into 2 equally long sections. She then cut off 5 inches in length from one section. This section is now 4 inches long. What was the length of the original piece of construction paper?

Mixed Strategy Practice 3. USE DATA Matt bought 3 blue

T-shirts and 2 yellow T-shirts. How much money did Matt spend in all? Show your work.

4. Greg collected $81 by selling 9 equally priced boxes of granola bars. How much did Greg charge for each box of granola bars? Predict and test to solve.

5. Anna cut a ribbon in half. She then cut 7 inches off one of these halves, leaving her with 5 inches of ribbon on this half. What was the original length of the ribbon? Show your work.

Blue

Green

Yellow

Red

$5

$4

$7

$6

Color Price

T–Shirt Prices


Name Lesson 13.4


1. 70 � 10 � 2. 36 � 9 � 3. 40 � 10 �

4. 27 � 9 � 5. 50 � 10 � 6. 63 � 9 �

7. 30 � 10 � 8. 54 � 9 � 9. 36 � 9 �

10. 80 � 10 � 11. 72 � 9 � 12. 20 � 10 �

13. 9 � � 18 14. 6 � � 54 15. 10 � � 40 16. 9 � � 81

Problem Solving and Test Prep17. There are 54 fish in 9 tanks at an

aquarium. Each tank contains an equal number of fish. How many fish are in each tank?

18. A shark movie lasted for 50 minutes. The movie spent 10 minutes featuring each shark. How many sharks were featured in the movie?

19. Forty dolphins form 10 equal lines. How many dolphins are in each line?

A 14B 4C 40D 1

20. Thirty-six people form 9 equal rows. How many people are in each row?

A 9B 5C 6D 4



Name Lesson 13.5

Algebra: Division Facts Through 12Find each missing factor and quotient.

1. 11 � � 55 55 � 11 � 2. 4 � � 36 36 � 4 �

3. 9 � � 63 63 � 9 � 4. 12 � � 24 24 � 12 �

Find each quotient.

5. 12 � � 144 6. 11 � � 77 7. 9 � � 63 8. 9 � � 45

Compare. Write ,, ., or � for each .

9. 3 � 4 24 � 2 10. 40 � 5 15 � 5 11. 7 � 4 9 � 3

Problem Solving and Test Prep12. Thomas goes hiking in a Colorado

state park. The entire trail takes 54 minutes to complete. Each section of the trail takes 9 minutes to complete. How many sections are in the entire trail?

13. Carrie took 44 pictures on her nature walk. She took 4 pictures of each flower that she saw. How many flowers did Carrie see?

14. There are 84 limos driving in the city. There are 12 limos driving on each street. How many streets are there?

A 7B 4C 3D 5

15. What is 49 � 7?

A 12B 11C 6D 7


Name Lesson 13.6

Algebra: Expressions and EquationsWrite an expression. Then write an equation to solve.

1. There were 4 tables in the cafeteria. Eight students sat at each table. How many students were in the cafeteria?

2. Sam brought 28 cookies to class. There were 22 students in his class. If each student had one cookie, how many cookies were left?

3. Francesca collected 72 shells at the beach. She collected 9 shells each day. How many days did Francesca collect shells at the beach?

4. There were 27 adults and15 children at a party. How many people were at the party in all?

Write �, �, �, or � to complete each equation.

5. 9 � 2 � 12 6 6. 27 � 18 � 3 3 7. 49 7 � 4 � 3

Problem Solving and Test Prep 8. Freddy organizes a dodge ball

tournament with 6 equal teams. A total of 42 students sign up to play in the tournament. How many students will be on each team? Show your work.

9. Kathy played 6 games each week for 4 weeks. How many games did Kathy play in all? Show your work.

10. There are 12 pies, each with 6 slices. Which equation shows the number of slices in all?

A 12 � 6 � 72 C 12 � 4 � 3B 12 � 6 � 18 D 12 � 5 � 60

11. Alex spent $6 on a game of bowling and $3 to rent shoes. Which equation shows how much money Alex spent in all?

A $6 � $3 � $18 C $6 � $3 � $9B $6 � $3 � $3 D $6 � $3 � $2


Name Lesson 14.1

Line Segments and AnglesTell whether each is a point, line, line segment, or ray.

1.

2.

3.

4.

5.

6.

7.

8.

Use the corner of a sheet of paper to tell whether each angle is right, acute, obtuse, or straight.

9.

10.

11.

12.

Problem Solving and Test Prep13. How many angles does the figure

below have?14. Sally needs to be home at 3:00.

What type of angle is formed by the hour and minute hands on a clock at 3:00?

15. Which shows a line?

A C

B D

16. Which shows a line segment?

A C

B D

MXENL08ASE3X_PH_C14_L1.indd PW90 7/5/07 1:35:02 PM


Name Lesson 14.2

Types of LinesDescribe the lines. Tell if the lines appear to be intersecting, perpendicular, or parallel.

1. 2.

3.

Describe the line segments marked h. Tell if the line segments appear to be perpendicular or parallel.

4. h

h 5. hh

6.


7. Marc thinks that every intersecting pair of lines is also perpendicular. Is he correct? Explain.

8. Marc is still curious. Can parallel lines be intersecting lines as well?

9. Which of these pairs of linesappear to be parallel?

A

B

C

D

10. Which of these pairs of linesappear to be perpendicular?

A

B

C

D

h

h


Name Lesson 14.3

Identify Plane FiguresName each polygon. Tell how many sides.

1.

2.

3.

4.

Tell whether each figure is a polygon. Write yes or no.

5. 6. 7. 8.

For 9–11, use figures A–D.

9. Which of the figures are closed?

10. Which figures are polygons?

11. Which figure is a plane figure but not a polygon?

Problem Solving and Test Prep12. Which type of polygon has 6 sides

and 6 angles?

13. How many sides and angles does the polygon below have?

14. How many sides does a

quadrilateral have?

A 4 C 6B 5 D 8

15. How many sides does a pentagon have?

A 9 C 6B 5 D 4

OREGONCOAST

BIKEROUTE

B

CA

D



PW93 Practice

5 cm2 cm

6 cm

TrianglesName each triangle. Write equilateral, isosceles, or scalene.

1.

2.

3.

4.

Name each triangle. Write right, obtuse, or acute.

5.

6.

7.

8.


4 cm

4 cm 6 cm

5 cm

5 cm 5 cm

2 cm

3 cm 4 cm

3 cm

3 cm 3 cm

4 cm

3 cm 5 cm

4 cm

2 cm 4 cm

6 cm

8 cm 10 cm

9. A triangle has one side that is 3 cm long, one side that is 2 cm long, and one side that is 4 cm long. Two of the angles are acute and one angle is obtuse. What kind of triangle is being described?

10. Can a right triangle also be an isosceles triangle? Explain.

11. Which correctly names this triangle?

5 cm4 cm

4 cmA scalene and obtuse

B scalene and right

C isosceles and obtuse

D isosceles and right

12. Which correctly names this triangle?

4 cm4 cm

5 cm

A equilateral and acute

B scalene and obtuse

C isosceles and acute

D isosceles and obtuse

Name Lesson 14.4


Name Lesson 14.5

QuadrilateralsWrite as many names for each quadrilateral as you can.

1.

2.

3.

4.

5.

6.

Problem Solving and Test Prep 7. Reasoning A square is always a

rectangle. Is a rectangle always a square? Explain.

8. Tamera used 4 rectangles and5 rhombuses in a drawing. How many right angles in all, are in the figures Tamera drew?

9. What figure has 1 pair of parallel sides, but the sides are not always the same length?

10. Which best describes this quadrilateral?

A rectangle

B rhombus

C square

D trapezoid



CirclesName the gray part in each circle.

1.

2.

3.

4.

Is this gray part a diameter? Write yes or no.

5.

6.

7.

8.

Problem Solving and Test Prep 9. Randy starts at point A and walks

the circumference of a circular patio. Ralph also starts at point A and walks the diameter. If they are walking at the same rate, who would reach point B the fastest?

10. The radius of the circle below is 4 cm. What is the diameter?

11. Which of the following gray parts is a radius?

A

B

C

D

12. Which of the following gray parts is a diameter?

A

B

C

D

Name Lesson 14.6

4 cm

A B


“At least one set

of parallelsides”

“At least one obtuse

angle”

Name Lesson 14.7

Problem Solving Workshop Strategy: Draw a Diagram

Problem Solving Strategy Practice

Abbie was given the following set of figures to sort. How can she make a Venn diagram to classify and categorize the figures?

Use the following Venn diagram to sort these figures.

1.

Mixed Strategy PracticeUSE DATA For 2–3, use the table.

2. How many wins did the Wolves andVikings have in all? Show your work.

3. How many more wins did the Cougars and Vikings have combined, than the Wolves had? Show your work.

Cougars

Wolves

Vikings

14

9

12

Team Name Number of Wins

Little League Team Wins


Name Lesson 14.8

Combine Plane FiguresWhat figures could have been combined to make each figure?

1.

2.

3.

4.

5.

6.

Draw and name a figure that could be made by using the figures shown.

7.

8.

9.


Name Lesson 15.1

Congruent FiguresTell if the figures appear to be congruent. Write yes or no.

1.

2.

3.

4.

5.

6.

For 7–8, use the figures in the table.

7. Katie drew a model of her school. Which figure appears to be congruent to the model Katie drew?

8. Michael goes to a different school. He also drew a model. Which figure appears to be congruent to Michael’s model?

Problem Solving and Test Prep 9. Jason drew the two figures below.

Do the two figures appear to be congruent?

10. Mary drew the two figures below. Do the two figures appear to be congruent?

11. Which figure appears to be congruent to this figure?

A C

B D

12. Which appears to show two congruent figures?

A C

B D

Figures

A

D

B

C

Katie’s Model

Michael’s Model


Name Lesson 15.2

Problem Solving Workshop Strategy: Make a Model

Problem Solving Strategy PracticeMake a model to solve.

1. Karen used 2 pattern blocks to make a shape congruent to figure I below. Which pattern blocks did Karen use?

2. John used 2 pattern blocks to make a parallelogram. Which pattern blocks did John use?

Mixed Strategy PracticeUSE DATA For 3–4, use the table.

3. How many square-shaped and triangle-shaped tiles are in a mosaic tile kit in all. Show your work.

4. The squares are either red or green. There is an equal number of each color. How many squares are red?

5. Kyle made an array using 15 square tiles. His array had 3 columns. How many rows were in Kyle’s array?

Pattern Blocks

A B C D

Square

Rectangle

Triangle

Parallelogram

80

74

55

32

Tile Shape Number in Kit

Mosaic Tile Kit

Figure I


Name Lesson 15.3

SymmetryTell if the gray line appears to be a line of symmetry.Write yes or no.

1.

2.

3.

4.

Problem Solving and Test Prep 5. Andrew wants to cut an apple in

half. Explain how he can use a line of symmetry to do this.

6. Does the figure at the right appear to have a line of symmetry? Explain.

7. Which appears to be a line of symmetry?

8. Which does not appear to be a line of symmetry?

A C A C

B D B D


Name Lesson 15.4

Lines of SymmetryDraw the line or lines of symmetry for each figure.

1.

2. 3. 4.

Decide if each figure appears to have 0 lines, 1 line , or more than 1 line of symmetry. Write 0, 1, or more than 1.

5.

6.

7.

8.


9. Reasoning Nancy went to the beach and found asea star like the one at the right. She decided that the sea star did not have a line of symmetry. Is Nancy’s decision reasonable? Explain.

10. How many lines of symmetry does the figure at the right appear to have? Explain.

11. Which letters appear to have more than one line of symmetry?

O X A KA X and A C A and K

B K and O D X and O

12. Which letter appears to have only one line of symmetry?

X A O PA X C O

B A D P



Similar FiguresTell if each pair of figures appears to be similar. Write yes or no.

1. 2.

3.

4. 5.

6.

Problem Solving and Test Prep 7. Elaine says that the two figures

below are neither similar nor congruent. Is Elaine correct? Explain.

8. Mason says that the two figures below are congruent. Is Mason correct? Explain.

9. Which pair of triangles appears to be similar?

10. Which pair of figures does not appear to be similar or congruent?

Name Lesson 15.5

A

B

C

D

A

B

C

D


Name Lesson 15.6

Slides, Flips, and TurnsTell how each figure was moved. Write slide, flip, or turn.

1.

2.

3.

4.

5.

6.

7.

8.

9.

Problem Solving and Test Prep10. If the figure below is flipped, what

would it look like? Draw your answer in the box.

11. As time passed, what happened to the hands of the clocks below?

12. Which shows a flip?

A C

B D

13. Which shows a slide?

A C

B D

8910

11 12

7 6 543

21

8910

11 12

7 6 543

21


Practice PW104

Name Lesson 16.1


Identify Solid Figures Name the solid figure that each object is shaped like.

1.

2.

3.

4.

5.

6.

7.

8.

Name the solid figure. Then tell the number of faces, edges, and vertices.

9.

10.

11.

PEAS “delicious”

CRAYO

NS

CR

AYON

S

Problem Solving and Test Prep 12. Julia used 8 cylinders, 4 cones,

25 cubes, and 3 rectangular prisms to build a castle. How many more cylinders than rectangular prisms did Julia use?

13. Roger used 4 cylinders, 3 cones, 12 cubes, and 1 sphere to build a tower. Half the figures were blue and half were red. How many figures were red?

14. Which solid figure is shaped like

a book?

A cone

B cylinder

C square pyramid

D rectangular prism

15. How many faces does a rectangular prism have?

A 6B 8C 12D 5

13 2


Name Lesson 16.2

Model Solid Figures Identify the solid figure that can be made from each net.

1.

2.

3.

Problem Solving and Test Prep 4. Ron folded the net at

the right to make a three-dimensional figure. Which solid figure did Ron make?

5. Jan sends a book to a friend. She packs the book in a box folded from the net at the right. Which solid figure does the net become?

6. Which solid figure could be made from this net?

A sphere

B cylinder

C cube

D square pyramid

7. Which solid figure could be made from this net?

A cube

B cylinder

C square pyramid

D rectangular prism


Name Lesson 16.3

Combine Solid FiguresName the solid figures used to make each object.

1. 2.

3.

Problem Solving and Test Prep4. Which solid figures would result if

a rectangular prism was cut in half as shown below?

5. Lisa plans to build a birdhouse. She wants to have a point at the top of her birdhouse. Which solid figures will Lisa use?

6. Which object is made by combining a cone and a cube?

A C

B D

7. Which object is made by combining a square pyramid and a cylinder?

A C

B D



Name Lesson 16.4

Problem Solving Workshop Skill: Identify Relationships

Problem Solving Skill PracticeSolve.

1. Skip used a sponge to make a border around his paper. He had access to 3 different sponges in the shapes of a cube, a square pyramid, and a cylinder. Which sponge did Skip use to make the border at the right?

2. Julie used a sponge to make a border around her paper. She had access to 3 different sponges in the shapes of a cube, a square pyramid, and a cylinder. Which sponge did Julie use to make the border at the right?

Mixed ApplicationsUSE DATA For 3–4, use the Store Price List below.

3. Alice is told to spend exactly $13 at the store on two items. What will the shape of the two items be?

4. Cindy went to the movies on Saturday and spent $8. She went to the store on Monday and spent $8. What did Cindy buy at the store?

5. Bobby collected 8 baseball cards and 2 basketball cards. He put the cards evenly in each of 5 cylinder shaped canisters. How many cards were in each canister? Show your work.

$8

$1

$4

$2

$57 8 9 /

*654 -321 +0C

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

centimeters

Store Price List


PW108

Name Lesson 16.5

Practice © Harcourt • Grade 3

Draw Figures For 1–6, copy each figure on dot paper. Then name the figure.

1.

2.

3.

4.

5.

6.


Name Lesson 17.1

PatternsName a pattern unit. Find the missing number or shape.

1. 2, 5, 9, 2, 5, 9, 2, 5, 9, 2, 5, 9, , 5

2. 5, 0, 9, 0, 5, 0, 9, 0, 5, 0, 9, 0, 5, , 9

3. 6, 1, 9, 2, 6, 1, 9, 2, 6, 1, 9, 2, 6, 1,

4.

Predict the next two numbers or shapes in each pattern.

5. 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, ,

6. 2, 2, 8, 2, 2, 8, 2, 2, 8, 2, 2, 8, ,

7. 2, 17, 17, 2, 17, 17, 2, ,

8. 0, 1, 3, 0, 1, 3, 0, 1, 3, ,

9. 1, 9, 5, 7, 1, 9, 5, 7, 1, 9, 5, 7, 1, 9, 5, 7, ,

10. 1, 5, 2, 1, 1, 5, 2, 1, 1, 5, 2, 1, 1, 5, 2, 1, 1, 5, ,

11. , ,

12. , ,


13. Alyssa made a bead necklace. Look at the pattern she used.

Which shape is missing?

14. Phil paints a border on a birdhouse. Look at the pattern he uses.

What will the next three shapes be?

15. What are the next two numbers in this pattern?

9, 6, 1, 9, 6, 1, 9, ,

A 1, 1 C 6, 1B 1, 9 D 9, 6

16. What are the next two shapes in this pattern?

A C

B D

?

? ?? ?

?

? ?



Geometric PatternsFind the pattern unit or rule. Then name the next figure.

1.

2.

3.

4.

Find the pattern unit or rule. Draw the missing figure

5.

6. ?

Problem Solving and Test Prep 7. Sam drew this pattern.

What is the missing figure.

8. Ayla drew this pattern.

? ? ? ? ? ? ?

What figure is next?

9. Which is the missing figure?

A

B

C

D

10. Which is the missing figure?

A C

B D

Name Lesson 17.2

?

?

?

? ?



Name Lesson 17.3

Number PatternsWrite a rule for each pattern. Then find the next number.

1. 15, 21, 27, 33, 39, 45

2. 99, 91, 83, 75, 67

3. 7, 10, 13, 16, 19, 22

4. 555, 530, 505, 480, 455, 430

5. 4, 8, 13, 17, 22, 26, 31, 35, 40, 44

Find the missing numbers.

6. 5, 25, 24, 44, , 63, 62

7. 222, 218, 214, , , 202

8. 27, 44, 61, , 95, , 129

9. 33, 36, 46, 49, 59, , 72,

10. 11, 16, 12, 17, 13, , 14, 19, 15, , 16, , 17

11. 5, 10, 15, 20, 25, , 35, 40,

12. 11, 21, 16, 26, 21, 31, 26, , , 41, , 46

13. 8, 9, 11, 14, 18, 23, 29, 36, , 53, , 74

Problem Solving and Test Prep14. Deanna wrote the following

pattern: 10, 15, 13, 18, 16, 21, 19, 24 What rule did Deanna use?

15. Bob wrote the following pattern: 17, 34, 51, 68, 85 What will the next number in the pattern be?

16. Maria wrote the following pattern: 25, 28, 20, 23, , 18, , 13 What numbers are missing?

A 25, 20 C 23, 18B 18, 10 D 15, 10

17. Eli wrote the following pattern:12, 23, 22, 33, 32, , 53 What numbers are missing?

A 43, 42 C 42, 52B 53, 22 D 37, 39


Name Lesson 17.4

Problem Solving Workshop Strategy: Find a Pattern

Problem Solving Strategy Practice 1. Max used stamps to make a pattern around the edge of a picture.

His pattern unit was 2 triangles, 3 circles, 2 squares. He stamped a total of 28 figures and began with 2 triangles. What shape was the 14th figure?

2. Al used stamps to make a pattern around the edge of a painting. His pattern unit was 3 triangles, 1 star, and 1 square. He stamped a total of 33 figures and began with a star. What shape was the 33rd figure?

3. Kya arranged shape cards to make a pattern. She turned two of the cards face down. What shapes are the figures marked on the two cards Kya turned face down?

Mixed Strategy PracticeUSE DATA For exercises 4–5, use the table below.

4. Mara has been saving money to buy a new hockey stick. She saved $2 the first week, $4 the second week, $6 the third week, and $8 the fourth week. If this pattern continues, how much will Mara save the fifth week?

5. How much money in all, will Mara have saved during 5 weeks? Show your work.

6. June has 6 stickers. Arnie has 11 stickers. How many more stickers does Arnie have than June has?

7. Kyle has 4 packages of 6 napkins each. He puts the same number of napkins on each of 8 tables. How many napkins does Kyle put on each table? Predict and test to solve.

1

2

3

4

5

$2

$4

$6

$8

Week Amount Saved

Mara’s Savings


Practice

Name Lesson 17.5

Make a PatternDraw each geometric pattern.

1. Use three different shapes to make a pattern unit. Use one shape at least twice in the pattern unit. Repeat the pattern unit three times. Draw your pattern.

2. Select three different shapes. Trace and color the shapes to make a pattern. Describe your pattern unit.

Make each number pattern.

3. Choose a two-digit number. Write down a number pattern that begins with this number and that uses subtraction in the rule.

4. Write the first five numbers of a number pattern. Describe the rule you used.

5. Hannah made a pattern with the pattern unit; star, moon, crescent, cloud. She drew 19 shapes beginning with a star. What figure was the 19thshape?

6. The band director put the band members in rows. The drawing at the right shows the first seven rows. Describe the pattern. How many band members will be in the 9th row?

JJJJJJJJJJJJJJJJJJJJ

row 1row 2row 3row 4row 5row 6row 7


Name Lesson 18.1

Model Part of a WholeWrite a fraction in numbers and in words to name the shaded part.

1.

2.

3.

Use fraction circle pieces to make a model of each. Then write the fraction by using numbers.

4. two fifths

5. seven tenths

6. five out of eight


7. Sam cut an apple pie into 6 pieces. He ate one slice of pie. What fraction of the pie is left?

8. Roger cut a pizza into 6 slices. He ate 3 slices. What fraction of the pizza is left?

9. Write in numbers and in words, the fraction that names the shaded part.

10. What fraction of the figure is gray?

A 5 __ 8 C 1 __

3

B 3 __ 4 D 5 __

6


Name Lesson 18.2

Model Part of a GroupWrite a fraction that names the black part of each group.

1.

2.

3.

4.

Draw each. Then write the fraction that names the shaded part.

5. Draw 5 squares. Shade 2 squares.

6. Draw 8 circles. Shade 5 circles.

7. Draw 4 diamonds. Shade 3 diamonds.

Problem Solving and Test PrepUSE DATA For 8–9, use the bar graph.

8. The bar graph shows the marbles in Carly’s collection. How many marbles does Carly have in all?

9. What fraction of Carly’s marbles are brown?

10. Jack has 10 toy trucks. Of the toy trucks, 1 _ 5 are red. How many trucks are red?

11. What fraction of the coins are dimes?

012345676543210

RedColor

Num

ber o

f Mar

bles

Brown Black Blue

Carly’s Marble Collection

A 2B 5

C 1D 10


PracticePW116

Name Lesson 6.6Name Lesson 18.3

Equivalent FractionsFind an equivalent fraction. Use fraction bars.

1.

2.

3.

Find the missing numerator. Use fraction bars.

4. 2 __

8 � ____ 4

5. 1 __

2 � ____ 10

6. 3 __

3 � ____ 6


7. The table shows the fictional weights of three different kinds of bugs. How many beetles would it take to equal the weight of one dragonfly?

8. How many grasshoppers would it take to equal the weight of one dragonfly?

9. What is the missing numerator?

4 __ 6 � ____ 12

A 7B 6C 8D 10

10. What is the missing numerator?

4 ___ 12

� ____ 3

A 2B 4C 1D 6

Beetle

Grasshopper

Dragonfly

Type Weight

Bugs

18 gram

14 gram

34 gram



PracticePW117

Name Lesson 18.4

Compare and Order FractionsCompare. Write <, >, or = for each .

1.

4 __ 8 2 __

3

2.

1 __ 2 3 __

6

3.

3 __ 4 2 __

5

Use fraction bars or number lines to compare. Write <, >, or = for each .

4. 3 __ 8 1 __

4 5. 2 __

3 5 __

6 6. 4 __

8 3 __

6


7. Whose house is closer to school, Todd’s or Al’s?

8. Whose house is farthest from the school, out of the 3 boys’ houses?

9. Which fraction is greater than 3 _ 8 ?

A 1 __ 2 C 3 __

8

B 0 __ 2 D 1 __

5

10. Tom, Susan, and Kyle are all reading the same book. Tom has read 4 _ 6 of the book, Susan has

read 3 _ 4 , and Kyle has read 10 __ 12 . Who has read the most of the book?


House Distance

Al’s

Dan’s

Todd’s

Distance From School

36 mile

25 mile

34 mile



Name Lesson 18.5


Compare Strategies


1. Lisa and Michelle played a ring toss game at the carnival. Lisa tossed 2 _ 3 of 18 rings around the bottle. Michelle tossed 5 _ 6 of 18 rings around the bottle. Who tossed more rings around the bottle? Draw a picture to solve.

2. Chris and his friends ordered ice cream sundaes at the food stand. Chris ate 1 _ 3 of his sundae. Hayden ate 3 _ 5 of his sundae. Jacob ate 2 _ 8 of his sundae. Who ate the most of his sundae? Make a table to solve.


3. For the Balloon Pop game, players have 8 chances to pop balloons. Who popped the greatest number of balloons?

4. Who popped the fewest number of balloons?

5. Eileen read 7 __ 10 of a book for school. Shelly read 4 _ 5 of the same book. Kara read 1 _ 2 of the same book. Who read the most of the book?

Name of Player

Taylor

Sean

Roseanne

Fraction ofBalloons Popped

Balloon Pop Game

583412


Name Lesson 18.6

Mixed NumbersWrite a mixed number for the parts that are shaded.

1.

2.

3.

For 4–8, use the number line to write the mixed number.

4. 9 __ 8 � 5. 22 ___

8 � 6. 11 ___

8 � 7. 18 ___

8 � 8. 17 ___

8 �


11. Dr. Price gave 1 _ 3 of a cookie to each of 7 patients. How many cookies did he give to the patients in all?A 3 C 2 1 __

6

B 2 1 __ 3 D 3 2 __

3

12. Which mixed number is equal to 8 _ 3 ?

A 1 2 __ 3 C 1 1 __

3

B 2 11 ___ 12

D 2 2 __ 3

0 1 2 3

248

238

228

218

208

198

188

178

168

158

148

138

128

118

108

98

88

78

68

58

48

38

28

18

08

Dog

Cat

Ferret

Pet Amount of Water

Water for Animals

cup143

cup214

cup86

9. Hannah works at the animal shelter. How many cups of water does she give 1 dog? Write your answer as a mixed number.

10. How many cups of water does Hannah give 1 ferret? Write your answer as a mixed number.


Name Lesson 18.7Add Like FractionsFind each sum.

1.

3 __ 6 � 2 __

6 �

2.

4 __ 8 � 1 __

8 �

3.

5 __ 9 � 2 __

9 �

Find each sum. Write the answer in simplest form.

4.

3 ___ 10

� 5 ___ 10

�

5.

1 __ 4 � 1 __

4 �

6.

2 ___ 12

� 6 ___ 12

�

Problem Solving and Test PrepUSE DATA For 7–8, use the recipe below.

7. How much sugar and oats in all will Meredith need to bake the cookies?

8. Meredith wants to triple the oatmeal cookie recipe. How much cinnamon will she need?

9. Carlos is working on a jigsaw puzzle. Yesterday he pieced together 1 _ 8 of the puzzle. Today he pieced together 3 _ 8 of the puzzle. What fraction of the puzzle has Carlos pieced together in all?

A 1 __ 2 B 7 __

8

C 5 __ 8 D 5 __

4

10. Cindy made a coaster and a keychain. She used 4 __ 12 meter of thread for the coaster and 5 __ 12 meter of thread for the keychain. How much thread did she use in all? Write the fraction in simplest form.

2 teaspoon vanilla

2 eggs

1 cup butter

Oatmeal Cookie Recipe

1 cup flour34

1 teaspoon baking soda

cup sugar12

2 cups oats12

1 teaspoon cinnamon12

112

110

110

110

110

110

110

110

110

15

15

15

15

14

14

12

13

112

112

112

112

112

112

112

13

PW121 Practice

Name Lesson 18.8

? ? ?


Subtract Like FractionsCompare. Find each difference. Write the answer in simplest form.

1.

7 __ 9 � 2 __

9 �

2.

6 __ 8 � 1 __

8 __

8 �

3.

5 __ 6 � 4 __

6 �

Find each difference. Write the answer in simplest form.

4. 8 ___ 12

� 5 ___ 12

� 5. 5 __ 8 � 2 __

8 � 6. 2 __

5 � 1 __

5 �


7. Lena had 6 _ 8 of a jar of orange

juice. She drank 3 _ 8 of the jar. What

fraction of the jar of orange juice is

left? Write your answer in simplest

form.

8. Mark walked 3 _ 4 mile to school.

Kevin walked 1 _ 4 mile to school. How

much farther did Mark walk than

kevin walked? Write your answer in

simplest form.

9. Gina has 5 _ 6 meter of yarn. She uses 4 _ 6 meter to make a glove. How much of the meter of yarn is left?

A 1 __ 6

B 1 __ 2

C 5 __ 6

D 6 __ 6

10. A plank of wood is 7 _ 9 meter long. Lance saws off a piece that is 3 _ 9 meter long. What is the length of the plank now? Explain how you know.



Name Lesson 18.9

Problem Solving Workshop Skill:

Too Much/Too Little Information

Problem Solving Skill PracticeTell if there is too much or too little information. Solve if there is enough information.

1. Erin, Jackie, and John each walks to school. Erin’s house is 2 _ 6 of a mile from school, Jackie’s house is 4 _ 6 of a mile from school, and John’s house is 3 _ 6 of a mile from school. How far do Erin and John walk to school in all?

2. Mrs. Williams brought a cake to class. Christine ate 1 _ 8 of the cake. Kellie ate 2 _ 8 of the cake. Tom ate some of the cake. What fraction of the cake did Kellie, Tom, and Christine eat in all?

Mixed Applications

3. Fiona wrote 3 __ 10 of her paper on Thursday. She wrote 2 __ 10 of her paper on Friday. How much of her paper did she write on Thursday and Friday in all? Which operation will you use to solve?

4. Derek has $20.00. He buys 3 books at the book store. Each book costs $6.00. How much money does Derek have left? Will you need an estimate or an exact answer?

USE DATA For 5–6, use the table below.

5. Who spent the least amount of time working on their homework?

6. How many minutes did Jill spend working on her homework?

Lara

Jill

Todd

Student Time

Time Spent on Homework

12 of an hour

23 of an hour

14 of an hour


Name Lesson 19.1

Model TenthsWrite the fraction and decimal for the shaded part.

1.

2.

3. 4.

Write each fraction as a decimal.

5. 7 ___ 10

6. 3 ___ 10

7. 8 ___ 10

8. 1 ___ 10

9. 2 ___ 10

Write each decimal as a fraction.

10.

11.

12.

13. 0.4

14. 0.1

15. 0.7

16. 0.3

17. 0.9

18. 0.2

Problem Solving and Test Prep19. There are ten balls in the gym. Six

balls are red. Four balls are blue. Write a decimal to show the part of the balls that are blue.

20. Thomas played basketball. He shot the ball ten times. The ball went in the basket six times. Write a fraction to show how many times the ball went in the basket.

21. Which shows the fraction for 0.8?

A 6 ___ 10

C 8 ___ 10

B 3 ___ 10

D 1 ___ 10

22. Which shows the decimal for 7 __ 10 ?A 0.7 C 0.8

B 0.6 D 0.2

ONES . TENTHS

0 . 9

ONES . TENTHS

0 . 6

ONES . TENTHS

0 . 2

PracticePW124

Name Lesson 19.2

Model HundredthsWrite each fraction as a decimal.Use a decimal model to help.

1. 7 ____ 100

2. 55 ____ 100

3. 44 ____ 100

4. 60 ____ 100

5. 13 ____ 100

Write each decimal as a fraction.

6. 7.

Write each decimal as a fraction and in expanded form.

8. 0.04

9. 0.24

10. 0.70

11. 0.43

12. 0.33

Problem Solving and Test Prep13. Nicole surveys 100 students

about their favorite lunch. Of 100 students, 0.60 like pizza. How many students like pizza?

14. Heather measures her pencil in centimeters. It is 7 centimeters long. One hundred centimeters equals 1 meter. Write the length of the pencil as a fraction of a meter and as a decimal.

15. Which decimal shows four hundredths?

A 0.40B 0.004C 4.00D 0.04

16. Which decimal shows nineteen hundredths?

A 0.19B 19.00C 1.90D 0.019

ONES . TENTHS HUNDREDTHS

0 . 6 6


0 . 7 5



PracticePW125

Decimals Greater Than OneWrite the word form and the expanded form for each.

1.

2.

3. 1.53

4. 0.14

Write the decimal for each.

5. two and three tenths

6. five and two tenths

7. eleven and one hundredth

Problem Solving and Test Prep 8. Ms. Tavera is planting tulips along

the front of her house. It will take 100 tulips to fill the front. She has planted 15 tulips so far. What decimal shows how many tulips Ms. Tavera has planted so far?

9. Reasoning I am greater than 2 but less than 4. All my digits are odd. My tenths digit is 3 times my ones digit. My hundredths digit is 5. What decimal am I?

10. Which shows 8.3 written in word form?

A eight hundred three

B eight and three hundredths

C eight and three tenths

D eight and thirty hundredths

11. Which shows 0.13 written in word form?

A one hundred and thirty hundredths

B one and three hundredths

C thirteen hundredths

D thirteen tenths

Name Lesson 19.3

HUNDREDTHSTENTHS

2ONES .

. 7 9HUNDREDTHSTENTHS

2ONES .

. 5 0



Compare and Order DecimalsCompare. Write �, �, or � for each .

1.

0.8 0.6

2.

0.54 0.55

3. 4.2 3.6 4. 0.6 0.7 5. 0.17 0.23 6. 1.38 1.35

Order the decimals from least to greatest.

7. 0.9, 0.5, 0.12 8. 0.8, 0.07, 0.6

9. 1.02, 1.12, 1.9

Problem Solving and Test Prep10. Tony’s diving score is 8.7. Jim’s

diving score is 8.5. Rob’s score is higher than Jim’s score but not as high as Tony’s score. Scores are measured only in tenths. What is Rob’s diving score?

11. Moriah placed second at the dance competition. Lucille placed first with the highest score, while Emily placed third. If the scores were 5.2, 5.9, and 4.9, who received which score?

12. Which is less than 2.38?

A 2.83B 2.08C 2.4D 2.41

13. Which is greater than 3.87?

A 3.23B 3.55C 3.62D 3.95

Name Lesson 19.4


0 . 5 4

0 . 5 5


PracticePW127

Name Lesson 19.5

Janice

Rona

Tammy

8.34

9.20

6.33

Dancer Score

Dance Contest


Compare Strategies


For 1–2, make a table or draw a picture to solve each problem.

1. Geanna, Micheala, and Savannah walk to school. Geanna lives 1.23 away, Micheala lives 1.32 miles away, and Savannah lives 1.12 miles away. Who lives closest to the school? Show your method for solving in the box at the right.

2. A turtle race was held last week. Pat’s turtle finished the race in 5.23 Michael’s turtle finished in 5.14 minutes, and Bonnie’s turtle finished in 5.65 minutes. Whose turtle won the race? Show your method for solving in the box at the right.


3. How much higher was Rona’s score than Tammy’s score? Show your work?

4. Which dancer received the

second highest score?

5. Anya rode her bike a total of 3.63 miles in all during Monday, Tuesday, and Wednesday. She rode her bike 0.99 mile on Monday and twice as many miles on Tuesday as she had on Wednesday. How many miles did Anya ride her bike on Wednesday?

miles

minutes,


Name Lesson 19.6

Relate Fractions, Decimals, and MoneyWrite the amount of money shown. Then write the amount as a fraction of a dollar.

1. 2.

Write the money amount for each fraction of a dollar.

3. 32 ____ 100

4. 5 ____ 100

5. 13 ____ 100

6. 89 ____ 100

7. 8 ____ 100

Write each money amount as a fraction of a dollar.

8. $0.53

9. $0.28

10. $0.99

11. $0.15

12. $0.06

Write the money amount.

13. three hundredths of a dollar

14. eleven hundredths of a dollar

15. sixteen hundredths of a dollar

Problem Solving and Test Prep16. Jason spends 33 ___ 100 of a dollar for

an eraser. Write the amount he has left from his dollar as a money amount.

17. Which is greater, $0.35 or 4 __ 10 of a dollar? Explain your answer.

18. Which amount equals 4 __ 10 of a dollar?

A $0.40 C $0.04

B $4.00 D $0.41

19. Which amount equals 79 ___ 100 of a dollar?

A $0.97 C $79.00

B $7.09 D $0.79



Name Lesson 20.1

LengthChoose the unit you would use to measure each.Write inch, foot, yard, or mile.

1.

2.

3.

4. the length of a cereal box

5. the length of a spoon

6. the length of the Mississippi River

7. the length of a tea kettle

8. the distance between home and school

9. the length of an automobile

Problem Solving and Test Prep 10. Justin plans to hike through the

mountains. Which unit best describes how far Justin will hike, inch or mile?

11. Alex saw an adult shark at the aquarium. Which unit best describes the length of the shark: foot, yard, or mile?

12. Lilly uses her bike to get exercise. About how long is the bike?

A 5 inches

B 5 feet

C 5 yards

D 5 miles

13. Tyler uses his book for knowledge. About how long is the book?

A 14 inches

B 14 feet

C 14 yards

D 14 miles



Name Lesson 20.2

Estimate and Measure InchesMeasure the length to the nearest inch.

1.

2.

Measure the length to the nearest half inch.

3.

4.

Use a ruler. Draw a line for each length.

5. 2 1 __ 2 inches 6. 1 inch

Problem Solving and Test Prep 7. Nina measures a marker that is

2 1 _ 2 inches long. Between which two inch-marks does the end of the marker lie?

8. What is the length of the card below to the nearest half inch?

9. What is the length of the string to the nearest half inch?

A 1 inch C 2 inches

B 1 1 _ 2 inches D 2 1 _ 2 inches

10. What is the length of the string to the nearest half inch?

A 2 inches C 3 inches

B 1 1 _ 2 inches D 3 1 _ 2 inches



Name Lesson 20.3

Estimate and Measure Feet and YardsChoose the better unit of measure.

1. the length of a rug

11 feet or 11 yards

2. the length of a puppy

1 foot or 1 yard

3. the length of a soccer field

100 feet or 100 yards

4. the length of a pickup truck

5 feet or 5 yards

5. the length of a sofa

6 feet or 6 yards

6. the length of a tennis court

80 feet or 80 yards

Use the Table of Measures. Write the length in feet and inches or in yards and feet.

7. 38 inches = feet inches

8. 14 feet = yards feet

9. 42 inches = yard inches

10. 102 inches = feet inches

11. 8 feet = yards feet

12. Jamie plans to knit a sweater. She needs 12 feet of yarn. She has 3 yards of yarn. Does Jamie have enough yarn to knit the sweater? Explain.

1 foot = 12 inches

1 yard = 3 feet

1 yard = 36 inches

Table of Measures



CapacityChoose the unit you would use to measure each. Write cup, pint, quart, or gallon.

1.

2.

3.

4.

5.

6.

7.

8.

Tell how the units are related.

9. 10 cups � pints 10. 4 quarts � pints 11. quarts � 2 gallons

12. 4 gallons � cups 13. pints � 7 quarts 14. 12 cups � quarts

15. 14 pints � cups 16. quarts � 1 gallon 17. 10 gallons � quarts

18. Beth needs to bring a gallon of juice to a party. She bought 2 quarts of juice. She has no other juice in her possession other than the juice she just bought. Does Beth have enough juice for the party? Explain.

Name Lesson 20.4



WeightChoose the unit you would use to weigh each. Write ounce or pound.

1.

2.

3.

4.

5.

6.

7.

8.


9. Lauren has 1 1 _ 2 pounds of cheese. How many ounces of cheese does Lauren have?

10. James weighed 8 pounds at birth. How many ounces did James weigh at birth?

11. A store sells 8 spatulas. Each spatula weighs 3 ounces. How much do the spatulas weigh in all?

A 26 ounces C 1 pound

B 2 pounds D 24 ounces

12. A store sells 12 plates. Each plate weighs 4 ounces. How much do the plates weigh in all?

A 1 pound C 24 ounces

B 36 ounces D 3 pounds

Name Lesson 20.5



Name Lesson 20.6

Estimate or Measure Choose estimate or measure.

1. Samantha needs four tablespoons of lemonade mix to make 1 quart of lemonade. Should Samantha estimate or measure the lemonade mix?

2. Anna fills up the bathtub to take a bath. Should Anna estimate or measure the water?

3. Andrew needs a long piece of string for his kite. Should Andrew estimate or measure the piece of string?

4. Charlie has to be 52 inches tall to enter the fun house. Should the fun house estimate or measure Charlie’s height?

Problem Solving and Test Prep 5. Nicole plans to make a dress that

requires 4 yards of fabric. Should Nicole estimate or measure the length of the fabric?

6. Wayne makes a collage with different-sized pieces of paper. Should Wayne estimate or measure the sizes of the pieces of paper?

7. Which amount should you measure?

A distance from class to gym

B amount of water in a fish tank

C amount of water in a drinking glass

D length of a person’s foot when buying new shoes

8. Which amount should you estimate?

A amount of flour in a recipe

B amount of fence needed for a yard

C amount of dirt placed in a flower pot

D number of cups of water in a quart



Name Lesson 20.7


Choose a Unit

Problem Solving Skill Practice

1. Mr. Brill wants to measure the distance from each goal line to the half-field line of a soccer field. Which customary unit of length should Mr. Brill use?

2. Allison wants to make juice for herself and her 3 friends. Which customary unit of capacity should Allison use to measure the amount of juice she will make?

3. George wants to measure how much water his kitchen sink holds. Which customary unit of capacity should George use?

4. Julie wants to measure the length of her sister’s hair. Which customary unit of length should Julie use?

Mixed Applications

5. Pose a Problem Suppose George wants to now measure how much water his coffee mug holds. Which customary unit of capacity should George use?

6. Gracie bought 6 cans of cat food and 3 cat toys. Each can of cat food cost $2. How much did Gracie spend on cat food?

7. Patrick rode his bike 10 miles, then 4 more miles, and then ate 2 sandwiches. How far did Patrick ride his bike in all?

8. There were 26 students at the park on Monday. Fourteen of these students were girls. About how many students at the park on Monday were not girls?



Name Lesson 20.8

Fahrenheit TemperatureWrite each temperature in °F.

1.

2.

3.

4.

Choose the better temperature for each activity.

5.

28°F or 78°F

6.

82°F or 32°F

7.

65°F or 25°F

8.

53°F or 93°F

9. It is 27°F outside. What is an activity Jeanne might be doing outside? What clothes do you think Jeanne might wear in accordance with this temperature?

°F

50

40

30

°F

100

90

80

°F

30

20

10

°F

80

70

60



Name Lesson 21.1

LengthChoose the unit you would use to measure each.

Write cm, m, or km.

1.

2.

3.

4.

5.

6.

7. the distance between two cities on different continents

8. the width of a book

9. the height of a building

10. the length of a fire truck

11. the distance to the moon

12. the width of a hand


13. Susan wants to measure the distance between first and second base on a baseball field. Which unit should Susan use?

14. Pedro hit a home run. Did the ball travel 90 cm, 90 dm, 90 m, or 90 km?

15. About how long is a state highway?

A 400 cm C 400 m

B 400 km D 400 dm

16. About how long is a crayon?

A 8 m C 8 cm

B 8 dm D 8 km



Name Lesson 21.2

Estimate and Measure Centimeters, Decimeters,

and MetersEstimate the length in centimeters. Then use a ruler to measure to the nearest centimeter.

1. the length of a calculator

2. the length of a pen

Use a ruler to measure to the nearest centimeter.

3.

4.

5.

Circle the best estimate.

6. length of a dollar bill

15 cm 15 dm 15 m

7. length of your little finger

3 cm 3 dm 3 m

8. length of a bar of soap

1 cm 1 dm 1 m

Problem Solving and Test Prep 9. Which is the longer length,

4 dm or 44 cm?

10. Lee used paper clips to measure a pencil. It was 4 paper clips long. If each paper clip was 3 cm long, how many cm long was the pencil?

11. Larry’s jumprope is 3 m long. How many centimeters long is it?

A 30 cm C 500 cm

B 300 cm D 3,000 cm

12. Vicky’s jumprope is 40 dm long. How many meters long is it?

A 1 m C 14 m

B 400 m D 4 m



CapacityChoose the unit you would use to measure the capacity of each. Write mL or L.

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

12.

13. In the space at the right, draw and label a picture of a container that has a capacity less than 1 liter.

Find each missing number.

14. mL � 3 L 15. L � 6,000 mL 16. 9,000 mL � L

17. 10 L � mL 18. 20,000 mL � L 19. L � 13,000 mL

Name Lesson 21.3



Name Lesson 21.4

MassChoose the unit you would use to find the mass of each. Write gram or kilogram.

1.

2.

3. 4.

5.

6. 7. 8.

Problem Solving and Test Prep 9. Marty is measuring the mass of a

large table. Should Marty use grams or kilograms to measure?

10. Tina is measuring the mass of a dragonfly. Should Tina use grams or kilograms to measure?

11. Trent caught 2 fish. One fish hada mass of 1,047 grams andthe other fish had a mass of 953 grams. What is the mass of both fish?

A 6,000 grams

B 1,700 grams

C 2 kilograms

D 5 kilograms

12. Lucy made 2 pies. One had a mass of 33 grams and the other had a mass of 77 grams. What is the mass of both pies?

A 1 kilogram

B 1,000 grams

C 90 grams

D 100 grams


PracticePW141

Name Lesson 21.5

Problem Solving Workshop Skill: Choose a Unit

Problem Solving Skill Practice 1. Miguel poured milk into a glass.

Which metric unit of capacity should Miguel use to measure the amount of milk in the glass?

2. The Ito family drove to a resort. The drive lasted 3 hours. Which metric unit of length should the Itos use to measure the distance to the resort?

3. Rachel put away a large box of books. Would the large box of books have a mass of 6 g or 6 kg?

4. Charles bought a package of markers. Would each marker have a length of 13 cm or 13 dm?

Mixed Applications 5. Carla filled the salt shakers in her

family’s restaurant. Did she fill each salt shaker with 35 g or 35 kg of salt?

6. The quarterback threw the football half the length of the football field. Did he throw the football 50 in., 50 ft, or 50 yd?

7. Last week Jim jogged 6 km each day for 4 days and 8 km on the fifth day. How many kilometers did Jim jog last week in all? Will your answer be an estimate or an exact answer?

8. Eric’s canteen held 2 L of water. He spilled 250 mL of the water and then drank 300 mL of it. How many mL of water were left?

9. USE DATA Sue has $6. She wants to buy 3 items from Table 1 and 1 item from Table 3. Does she need to find the exact amount or can she estimate to decide whether she has enough money to make her purchases?

Garage Sale!Garage Sale!Table 1 Items- $0.25; Table 1 Items- $0.25; Table 2 Items-$0.50; Table 2 Items-$0.50; Table 3 Items-$1.00; Table 3 Items-$1.00; Table 4 Items-$5.00; Table 4 Items-$5.00; Table 5 Items-$10.00Table 5 Items-$10.00





Celsius TemperatureWrite each temperature in �C.

1.

2.

3.

4.

5.

6.

7.

8.

Choose the better temperature for each activity. 9.

32�C or 0�C?

10.

19�C or 3�C?

11.

6�C or 21�C?

12.

0�C or 32�C?

13. Diego and his brother are skiing in the mountains in January. Is the temperature closer to 0�C or to 100�C? Explain.

14. Lindsey is starting the dishwasher. Is the water temperature in the dishwasher closer to 17�C or to 57�C? Explain.

40

20

30

20

0

10

80

60

70

60

40

50

50

30

40

30

10

20

50

30

40

30

10

20


Practice© Harcourt • Grade 3

PW143

Estimate and Measure PerimeterEstimate. Then use a centimeter ruler to find the perimeter.

1.

2.

3.

4.

Estimate. Then use an inch ruler to find the perimeter.

5. 6.

Problem Solving and Test Prep 7. How much greater is the perimeter of

box B than the perimeter of box A?

8. A square has four sides of the same length. If each side is 4 inches long, what is the perimeter of the square?

9. Use your centimeter ruler to find the perimeter of this pentagon.

A 14 cm

B 9 cm

C 6 cm

D 10 cm

10. Use your centimeter ruler to find the perimeter of this triangle.

A 3 cm

B 27 cm

C 18 cm

D 9 cm

Name Lesson 22.1

1 cm

Box ABox B

1 cm2 cm

2 cm

2 cm

2 cm1 cm

1 cm


Name Lesson 22.2


Area of Plane FiguresCount or multiply to find the area of each figure. Write the answer in square units.

1.

2.

3.

4.

5.

6.

Problem Solving and Test Prep 7. Look at the figures below. Which

figure has the greater area?

8. Brian covered a table top with square tiles. He used 5 rows with 5 square tiles in each row. What is the area of the cover?

9. What is the area of this rectangle?

A 11 square units

B 12 square units

C 25 square units

D 36 square units

10. What is the area of this rectangle?

A 8 square units

B 17 square units

C 18 square units

D 72 square units

A B


Practice



Relate Perimeter and AreaFor each pair, find the perimeter and the area. Tell which figure has the greater area.

1.

2.

Problem Solving and Test Prep 3. Leah made a picture frame. The

perimeter of her picture frame was 24 inches and the area was 35 square inches. What were the lengths of the sides?

4. Luke’s garden has a perimeter of 16 feet. Which design will provide his garden with the greater area?

5. Which figure has an area of 12 square units and a perimeter of 16 units?

A C

B D

6. Which figure has a perimeter of 18 units and an area of 14 square units?

A C

B D

A B

A B

Design A Design B



Name Lesson 22.4

Estimate and Find VolumeUse cubes to make each solid. Then write the volume in cubic units.

1.

2.

3.

4.

5.

6.

Problem Solving and Test Prep 7. Each layer of a rectangular prism

is 4 cubic units. The volume is 8 cubic units. How many layers are in the prism?

8. Teresa has 18 cubes to be used to make a solid figure containing 6 cubes in each layer. How many layers will the solid figure contain?

9. What is the volume of this solid figure?

A 12 cubic units

B 18 cubic units

C 27 cubic units

D 30 cubic units

10. What is the volume of this solid figure?

A 3 cubic units

B 6 cubic units

C 9 cubic units

D 12 cubic units


Practice© Harcourt • Grade 3

PW147

Name Lesson 22.5

Problem Solving Workshop Skill: Use a Model

Problem Solving Skill PracticeSolve.

1. Lily is looking for a special ornament. She has 2 boxes of ornaments. She knows that the special ornament is in a box that holds 40 ornaments. In which box should Lily look?

Box A Box B

2. If Box B could hold only 1 layer of ornament boxes, then what would the volume of Box B be in cubic units?

3. If Box A could only hold 3 layers of ornament boxes, then what would the volume of Box A be in cubic units?

Mixed Applications 4. Tom has two cartons of golf balls.

Carton A has 3 layers with 15 golf balls in each layer. Carton B has 4 layers with 12 golf balls in each layer. The sky on the golf course is clear. Which carton holds the greater amount of golf balls?

5. Ella is buying a case of pears and some apples. Each row in a case has 10 pears. There are 3 rows. If the cost of one pear is $0.50, how much money will the case of pears cost in all?

6. USE DATA Leslie packs her books into 3 boxes. Each box holds exactly 20 books. If Box A holds only mystery books and Box B holds only fantasy books, how many of what types of books does Box C hold?

Mystery 20

Fantasy 25

Adventure 15

Type Number

Leslie’s Books



Name Lesson 23.1

Algebra: Multiples of 10 and 100 Use a basic fact and patterns to find each product.

1. 5 � 3 � 2. 2 � 7 � 3. 9 � 8 �

50 � 3 � 2 � 70 � 9 � 80 �

500 � 3 � 2 � 700 � 9 � 800 �

Find the product.

4. 50 � 7 � 5. 4 � 500 � 6. � 3 � 200

7. 40 � 8 � 8. � 6 � 90 9. 4 � 600 �

10. � 1 � 60 11. � 700 � 3 12. 200 � 5 �

Problem Solving and Test Prep13. A case contains 5 boxes of toy

cars. Each box holds 100 cars. How many toy cars are in 4 cases?

14. Mandy has 2 boxes of earrings, each containing 20 earrings. Carla has 3 boxes of earrings, each containing 10 earrings. Who has more earrings?

15. The art club is selling tickets for the school art exhibit. There are 4 shows. There are 60 tickets for each show. How many tickets are there to sell?

A 24 tickets

B 240 tickets

C 2,400 tickets

D 24,000 tickets

16. The art club is inviting people to view their work. There are3 exhibits with 300 paintings displayed at each exhibit. How many paintings are on display?

A 9 paintings

B 90 paintings

C 900 paintings

D 9,000 paintings



Name Lesson 23.2

Arrays with Tens and Ones Find the product. Show your multiplication and addition.

1.

2 � 16 �

2.

4 � 13 �

3.

3 � 22 �

4.

5 � 14 �

5.

6 � 15 �

6.

4 � 17 �

Use base-ten blocks or grid paper to find each product.

7. 5 � 25 � 8. 4 � 18 � 9. 4 � 22 �

10. 3 � 19 � 11. 4 � 67 � 12. 8 � 39 �

13. 6 � 88 � 14. 4 � 12 � 15. 5 � 16 �



Name Lesson 23.3

Model 2-Digit Multiplication

Find the product. Use place value or regrouping.

1. 25 � 2

_

2. 16 � 4

_

Multiply. You may wish to use base-ten blocks to help you.

3. 22 � 7

_

4. 36 � 3

_

5. 43 � 5

_

6. 24 � 6

_

7. 55 � 2

_

8. 32 � 5

_

9. 18 � 4

_

10. 31 � 4

_

11. 16 � 4

_

12. 12 � 8

_

Problem Solving and Test Prep13. There are 300 brushes in a box.

Ella carried 4 boxes. How many brushes did Ella carry?

14. There are 20 boxes of crayons in a case. If each box costs $3, how much does a case cost?

15. On a field trip there were13 students in each of 4 groups. How many students went on the field trip?

A 48 students C 56 students

B 52 students D 60 students

16. In a bookcase there were21 books on each of 8 shelves. How many books were in the bookcase?

A 14 books C 168 books

B 28 books D 100 books

MXENL08AWK3X_PH_C23_L3.indd 19 6/15/07 8:58:31 AM


Name Lesson 23.4

Estimate Products

Estimate each product. Round to the greatest place value.

1. 29 � 6 � 2. 42 � 9 � 3. 7 � 31 �

4. 531 � 5 � 5. 8 � 725 � 6. 4 � 277 �

7. 61 � 4

_

8. 38 � 5

_

9. 71 � 4

_

10. 316 � 7

_

11. 297 � 6

_

12. 82 � 8

_

13. 361 � 4

_

14. 72 � 3

_

15. 157 � 9

_

16. 228 � 3

_

Problem Solving and Test PrepUSE DATA For 17–18, use the table.

17. Each Boat Rental shop rents 33 boats a week. About how many boats are rented each week by all of the boat rental shops combined?

18. Each game Rental shop rents 9 volleyball nets each week. About how many volleyball nets are rented each week by all of the game rental shops combined?

19. Mandy owns a beach snack stand. She sells 145 sandwiches. Each sandwich costs $3.95. About how much money does she earn in all?

A $435 B $4,350 C $580 D $5,800

20. Kitty and her friends built 3 sandcastles. They used 102 shells to decorate each castle. About how many shells did they use in all?

A 300B 400 C 500 D 600

Bike Rentals

Board Rentals

Boat Rentals

Game Rentals

5

15

22

47

Shop Type Number of Shops

Beach Shops



Name Lesson 23.5

Multiply 2-Digit Numbers

Find each product.

1. 23 � 4

_

2. 78 � 6

_

3. 77 � 6

_

4. 15 � 9

_

5. 34 � 7

_

6. 39 � 7

_

7. 92 � 3

_

8. 41 � 7

_

9. 84 � 2

_

10. 67 � 3

_

11. 95 � 8 � 12. 57 � 6 � 13. 4 � 99 � 14. 6 � 73 �


15. USE DATA If you were to multiply the number of hot lunches sold with the number of sandwiches and salads sold combined, what would the resulting product be?

16. Monica has read 22 books each year for the past 9 years. How many books has Monica read in all?

17. Vincent rents six movies. Each movie is 86 minutes long. How long will it take Vincent to watch all six movies?

A 516 minutes

B 540 minutes

C 450 minutes

D 480 minutes

18. Colleen listened to three CDs. Each CD was 63 minutes long. How long did it take Colleen to listen to all three CDs?

A 146 minutes

B 169 minutes

C 189 minutes

D 378 minutes

Nu

mb

er S

old

Type of Lunch

109876543210

Hot lunch Sandwich Snack Pak Salad

Cafeteria Lunches



Name Lesson 23.6

Multiply 3-Digit Numbers Find each product.

1. 832 � 2

_

2. 196 � 4

_

3. 312 � 3

_

4. 375 � 4

_

5. 456 � 1

_

6. 432 � 3

_

7. 821 � 3

_

8. 139 � 3

_

9. 472 � 4

_

10. 424 � 2

_

11. 5 � 304 � 12. 3 � 153 � 13. 6 � 413 �

Problem Solving and Test PrepUSE DATA For 14–15, use the table.

14. A calorie is a unit of energy that food provides. The table shows the number of calories used in one hour for different sports. Asha played Ping Pong for 4 hours one weekend. How many calories did Asha use?

15. David plays soccer 4 times a week

for 1 hour each time. How many

calories does David use in 6 weeks?

Soccer

Softball

Ping Pong

Tennis

Water Polo

206**

147**

118

206**

295

Sport Calories Used per Hour*

*for 65 pound person**calories rounded to nearest ones

Calories Used

16. Thomas drives his company car 103 miles each day. How far does Thomas drive in five days?

A 675 miles

B 515 miles

C 700 miles

D 560 miles

17. There are 15 stickers on a page in a sticker book. There are 50 pages in the book. How many stickers are in the entire book?

A 500 stickers

B 520 stickers

C 700 stickers

D 750 stickers



Name Lesson 23.7


Solve a Simpler Problem

Problem Solving Strategy PracticeUse a simpler problem to solve.

1. The music club gives a concert to raise money for new sheet music. They receive $0.75 for each ticket they sell. The club sells 99 tickets. How much money does the music club raise?

2. Brett uses toy houses to build his model village. The toy houses come in packages of 65. If Brett buys 4 packages, how many toy houses will he have?

Mixed Strategy Practice

3. USE DATA If 4 third grade classes each collect the same number of cans of each type of food, what will the total number of cans of peas and corn collected be? Show your work.

4. Heath volunteers at a library3 days a week every summer. He reshelves 97 or more books each day he volunteers. What is the least number of books he reshelves each week? Show your work.

5. A brown, a black, a white, and a gray dog are in line at a training class. The black dog is not last. The white dog is in front of the brown dog. The brown dog is second in line. Draw a picture to show the order of the dogs.

Peas

Corn

Chicken

Potatoes

Soup

35

27

15

22

13

Food Number of Cans

Food Drive: Data for 1 Class



Name Lesson 24.1

Model Division with RemaindersUse counters to find the quotient and remainder.

1. 13 � 2

2. 15 � 4

3. 20 � 3

4. 17 � 4

5. 25 � 3

6. 17 � 6

7. 11 � 2

8. 14 � 3

9. 19 � 6

10. 16 � 7

11. 16 � 5

12. 15 � 6

13. 10 � 4

14. 11 � 5

15. 19 � 4

16. 19 � 3

17. 22 � 5

18. 21 � 4

19. 18 � 7

20. 11 � 6

Problem Solving and Test Prep21. Karen collects 23 shark teeth on

her vacation. She wants to make 3 necklaces with the same number of teeth on each necklace. Can Karen divide the 23 teeth equally into 3 groups? Explain.

22. Ronald buys 22 stickers. He wants to share the same number of stickers with each of 4 friends. How many stickers will be left over?

23. Bill wants to divide 18 yo-yos evenly into 8 boxes. How many yo-yos will be left over?

A 1B 2C 3D 4

24. Lindsay wants to divide 24 canteens evenly into5 packages. How many canteens will be left over?

A 1B 2C 3D 4



Name Lesson 24.2

Record Division

Use base-ten blocks. Write the quotient and remainder.

1. 2 � � 47 2. 4 � � 65 3. 3 � � 34 4. 5 � � 52

5. 6 � � 56 6. 2 � � 85 7. 5 � � 62 8. 3 � � 74

9. 44 � 3 � 10. 86 � 4 � 11. 96 � 7 �


12. Sharon fills bags of trail mix for a hike. She has 85 ounces of trail mix. She place 6 ounces of trail mix in each bag. How many bags does Sharon fill? How much trail mix is left over?

13. Larry had a 64-ounce container of orange juice. He poured the same amount of orange juice into each 8-ounce mug. How many mugs did Larry fill? How much orange juice was left over?

14. Doreen divided 48 cookies evenly into 5 bags with the same number in each bag. How many cookies were left over?

A 1B 2C 3D 4

15. Ken divided 62 orange wedges into 4 bags with the same number of wedges in each bag. How many wedges were left over?

A 1B 2C 3D 4



Name Lesson 24.3

Algebra: Division PatternsUse a basic fact and patterns to find each quotient.

1. 16 � 2 �

160 � 2 �

1,600 � 2 �

2. 15 � 3 �

150 � 3 �

1,500 � 3 �

3. 40 � 5 �

400 � 5 �

4,000 � 5 �

4. 27 � 3 �

270 � 3 �

2,700 � 3 �

5. 42 � 6 �

420 � 6 �

4,200 � 6 �

6. 48 � 8 �

480 � 8 �

4,800 � 8 �

Write the basic fact you can use. Then find the quotient.

7. 180 � 3 �

8. � 400 � 2

9. 350 � 7 �

10. 210 � 7 �

11. � 2,500 � 5

12. 320 � 4 �

Problem Solving and Test Prep13. David took 400 photos while on

vacation. He put the same number of photos in each of 5 albums. How many photos did David put in each album?

14. Laura divided 120 raisins evenly into each of 3 bags. How many raisins did Laura put in each bag?

15. Which basic division fact can be used to find 630 � 9?

A 15 � 5 � 3B 63 � 3 � 21C 72 � 9 � 8D 63 � 9 � 7

16. Which basic division fact can be used to find 6,000 � 3?

A 60 � 10 � 6B 6 � 3 � 2C 60 � 2� 30D 63 � 3 � 21



Name Lesson 24.4

Estimate Quotients

Estimate. Tell the compatible numbers you used for each.

1. 58 � 6 � 2. 35 � 3 �

3. 122 � 4 �

4. 151 � 3 �

5. 304 � 3 �

6. 73 � 6 �

7. 212 � 3 �

8. 184 � 9 �

9. 5 � � 34

10. 4 � � 42

11. 8 � � 157

12. 9 � � 444

Problem Solving and Test Prep13. A group of 50 students have

signed up for a ski trip. The students will be divided into 4 groups. About how many students will be in each group?

14. Elizabeth has a 128-ounce container of milk. She wants to divide the milk into 6 containers. About how many ounces of milk will be in each container?

15. Which expression shows the best choice of compatible numbers to estimate 47 � 9?

A 40 � 9B 40 � 10C 45 � 9D 45 � 10

16. Which expression shows the best choice of compatible numbers to estimate 116 � 6?

A 112 � 6B 115 � 5C 120 � 5D 120 � 6



Name Lesson 24.5

Divide 2- and 3-Digit NumbersDivide. Use multiplication to check your answer.

1. 2 � � 457 2. 3 � � 213 3. 5 � � 678

4. 8 � � 848 5. 6 � � 124 6. 612 � 9 �

7. 348 � 2 � 8. 626 � 6 � 9. 582 � 4 �


10. Ted’s elementary school is going to a Folk Dance Festival. There are 8 buses for the 312 students going on the trip. How many students are on each bus?

11. There are 8 adults supervising 128 students on a field trip at the Science Museum. How many students does each adult supervise?

12. Which shows the quotient 234 � 9?

A 23B 24C 26D 341

13. Which shows the quotient 918 � 6?

A 112 B 125C 135D 153



Name Lesson 24.6


Interpret the Remainder

Problem Solving Skill Practice 1. Fred made 38 pancakes. There are 5 people in his family.

If each person receives the same number of pancakes, how many pancakes does each person receive?

2. There are 40 slices of pizza to be divided among 9 children at a party. If each child receives the same number of slices, how many slices will each child receive?

3. Mr. Klee has a stamp album. He has 58 stamps from South America. He wants to put 8 stamps on each page. How many pages will Mr. Klee need?

4. Each ride at the park is 4 minutes long. The park closes in 35 minutes. How many rides can take place before the park closes?

Mixed Applications 5. Mrs. Dirksen has a 24-ounce drink

that she wants to share equally with her 5 friends. How many ounces can she give to each friend?

6. The school library has 172 books on the reading list. Exactly 104 of these books are checked out. How many books on the list are still in the library? Do you need an estimate or an exact answer?

7. USE DATA How many votes did Maple and Birch receive in all? Which operation did you use to solve?

Oak

Maple

Birch

Apple

Favorite Type of Tree

Key: Each � 2 votes.


SPIRALREVIEW

MXENL08AWK3X_SR_FMTE.indd i 6/20/07 1:38:24 PM

Spiral Review

Name Week 1

Spiral ReviewSR1© Harcourt • Grade 3

For 1–5, write the value of the underlined digit.

1. 420

2. 609

3. 93

4. 826

5. 824

For 8–9, a class takes a survey about pets. Write the results as tally marks.

8. 3 students 9. 6 studentshave dogs. have fish.

10. Look at the table below. How many students were absent on Monday?

AbsencesDay Tally

Monday

Tuesday

Wednesday

For 11–14, circle the designated number(s).

11. Circle the even 11, 12, 13number(s).

12. Circle the odd 7, 8, 9number(s).

13. Circle the even 32, 33, 34number(s).

14. Circle the odd 22, 23, 24number(s).

For 6–7, read the thermometer. Write the temperature.

6.

°F

70

50

60

�F

7.

°F

70

50

60

�F

MXENL08AWK3X_SR_WK01.indd SR01 7/5/07 2:38:26 PM

Spiral Review

Name Week 2


For 1–5, write the value of the underlined digit.

1. 7,816

2. 9,217

3. 6,422

4. 3,405

5. 6,212

For 9–11, use the graph to answer each question.

For 6–8, write the time shown on the clock.

6.

7.

8.

9. Who found the most insects?

10. Who found the same number of insects as one another?

11. How many insects did Mark find?

For 12–15, draw a line on the figure to make the given shapes.

12. Make a triangle and a trapezoid.

13. Make two triangles.

14. Make two rectangles.

15. Make a triangle and a trapezoid.

8910

11 12

7 6 543

21

8910

11 12

7 6 543

21

8910

11 12

7 6 543

21

76543210

Cole Mark Tori Bev

Insects Found

Nu

mb

er o

f In

sect

s

Students


Spiral Review

Name Week 3


For 1−5, compare. Use �, �, or � for each .

1. 546 748

2. 208 200

3. 969 996

4. 6,399 6,399

5. 3,000 2,999

For 12–14, answer the question.

12. Taylor thinks of an addition fact. One of the addends is 9. The sum is also 9. What is a fact that Taylor could be thinking of?

13. Chris thinks of an addition fact. The sum is 11. One of the addends is 8. What is a fact that Chris could be thinking of?

14. Rosa thinks of an addition fact. The sum is 15. One of the addends is 10. What is a fact that Rosa could be thinking of?

For 6−8, read the measurement sentence. Then, choose the unit that makes the second sentence true.

6. A grasshopper is 3 cm long. If I measured the grasshopper in (mm, m), I would reach a greater number.

7. The dictionary weighs 2000 g. If I measured the dictionary in (mg, kg), I would reach a lesser number.

8. The bucket holds 3 L. If I measured the bucket in (mL, kL), I would reach a greater number.

For 9−11, use the tally table below. Let the, , equal 1 student. Draw the number of symbols needed to show the data for each sport.

Favorite Sport

Sport Tally

Swimming

Karate

Soccer

9. Swimming

10. Karate

11. Soccer


Spiral Review

Name Week 4

1 2 3inches

1 2 3inches

1 2 3inches


For 9−11, use the tally table below. Let the, , symbol equal 1 student. Draw the number of symbols needed to show the data for each insect seen.

Insect Seen

Insect Tally

Mosquito

Grasshopper

Butterfl y

9. Mosquito

10. Grasshopper

11. Butterfly

For 1−5, compare. Use �, �, or � for each .

1. 1,558 1,558

2. 7,094 7,904

3. 969 996

4. 6,399 6,399

5. 3,000 2,999

For 12–14, use the solid figure. Draw around the faces. Circle the faces of the solid figure.

12.

13.

14.

For 6−8 , measure the length to the nearest inch.

6.

7.

8.


Spiral Review

Name Week 5

centimeters1 2 3 4 5 6 7

centimeters1 2 3 4 5 6 7

Spiral Review© Harcourt • Grade 3

SR5

For 1–5, round each number to the nearest hundred.

1. 1,580

2. 2,094

3. 6,527

4. 9,099

5. 602

For 8–9, a class takes a survey about how they come to school. Write the results as tally marks. 8. 7 students 9. 11 students ride bikes to ride the bus. school.

10. Look at the table below.How many students went on vacation over Spring Break?

Spring BreakActivity Tally

Stay Home

Visit Family

Vacation

For 11–13, find the missing number.

11. (5 � ) � 3 � 10

12. 5 � (3 � ) � 11

13. (2 � ) � 7 � 13

For 6–7, measure the length to the nearest centimeter.

6.

7.


Spiral Review

Name Week 6



1. 6,581

2. 1,157

3. 8,502

4. 8,205

5. 495


9. Which student did exactly16 pushups?

10. How many more pushups did Connor do than Michael did?

11. How many students did more than 20 pushups?

For 12–14, combine the given figures to make a new figure. Draw an outline of the new figure.

12.

13.

14.

For 6−8, measure the length to the nearest inch. 6.

7.

8.

1 2 3inches

1 2 3inches

1 2 3inches

Number of Pushups done in P.E. Class

Nam

e

Number0

Connor

Michael

Taylor

Rebecca

Kaitlyn

Brian

4 8 12 16 20 24 28 32


Spiral Review

Name Week 7


For 1–5, find each sum.

1. 536 2. 627 �159 �548

3. 972 4. 840 �601 �588

5. 900 �199

For 9–10, a class takes a survey about recess. Write the results as tally marks.

9. 8 students 10. 4 students play basketball. catch bugs.

11. Look at the table below. How many students bought sack lunches on Wednesday?

Sack Lunches BoughtDay Tally

Monday

Tuesday

Wednesday

For 12–14, write a number sentence to solve. 12. Cory planted 17 vegetable seeds

in the garden. He found 2 more seeds and planted them. How many seeds did Cory plant in all?

13. Finn picked 12 cucumbers from

the garden. Then he picked 8 tomatoes. How many vegetables did Finn pick in all?

14. Sun Li counted 11 peppers on

one plant and 5 peppers on another. How many peppers did Sun Li count in all?

For 6–8, use the table to answer each question.

11:00 – 1:00

1:00 – 2:00

2:00 – 5:00

Learn at Lunch

Play for Preschoolers

Homework Help

Time PeriodActivity

Library Schedule

6. Which activity lasts for 3 hours?

7. How long does Play for Preschoolers last?

8. Which lasts longer, Play for Preschoolers or Learn at Lunch?

MXENL08AWK3X_SR_WK07.indd SR07 6/18/07 10:27:40 AM

Spiral Review

Name Week 8


For 1–5, use rounding or compatible numbers to estimate each sum.

1. 47 2. 28 �52 �23

3. 576 4. 304 � 139 �188

5. 146 �149

For 10–12, use the tablebelow. Let the, , symbol equal 1 student. Draw the number of symbols needed to show the data for each type of music.

What Music We Listen To

Type Tally

Rap

Pop

Country

10. Rap

11. Pop

12. Country


13. Make two trapezoids.


15. Make two squares.



6.

8910

11 12

7 6 543

21

7.

8910

11 12

7 6 543

21

8.

8910

11 12

7 6 543

21

9.

8910

11 12

7 6 543

21


Spiral Review

Name Week 9


For 1–5, find the difference.

1. 567 2. 719 �207 �186

3. 707 4. 856 �218 �839

5. 907 �793

For 11–12, a class takes a survey about favorite colors. Write the results as tally marks.

11. 13 students 12. 9 students chose red. chose blue.

13. Look at the table at theright. Howmany morestudentswore whiteshirts thanwore green shirts?

For 14–18, write the symbol that makes the number sentence true.

14. 100 90 = 10

15. 10 + 5 15

16. 18 9 = 9

17. 16 9 = 7

18. 0 1 = 1

For 6–10, fill in the blank with A.M. or P.M.

6. We go to the library at 10:00 .

7. The school bus picks us up to go to school at 7:45 .

8. The mail carrier delivered the mail at 1:30 .

9. The cafeteria opens for lunch at 10:45 .

10. My grandfather watches the 5:00 evening news.

Shirt Color

Color Tally

White

Orange

Green


Spiral Review

Name Week 10


For 1–3, solve the problem using addition or subtraction.

1. Kaya made bread for breakfast. She heated some water for the yeast. Then she let it cool to 83°. If the water first reached 109°, how many degrees did it cool?

2. Carson has a rock collection. He has 1 topaz, 9 rubies, 14 amber, and 46 river rocks. How many rocks does Carson have in all?

3. Daria listens to the weatherman. It was thirty-nine degrees yesterday. Today it is twenty-eight degrees. How many degrees cooler is it today than it was yesterday?

For 8–10, use the pictographto answer each question.

8. Who checked out the least number of books?

9. How many books were checked out in all?

10. Who checked out four more books than Linda checked out?

For 11–14, find the next number in the pattern.

11. 1, 2, 3, 4,

12. 2, 4, 6, 8,

13. 19, 16, 13, 10,

14. 25, 30, 35, 40,

For 4–7, use a clock to find the elapsed time.

Elapsed Start End Time:

4. 3:40 A.M. 6:50 A.M.

5. 7:15 A.M. 3:00 P.M.

6. 12:30 P.M. 7:15 P.M.

7. 8:40 A.M. 1:20 P.M.

Linda

Tony

Gwen

Number of Library Books Checked Out

Key: Each = 2 books.


Spiral Review

Week 11Name


For 1–3, use the model to find the difference.

1. 290 –217

2. 401 –158

3. 250 –167

For 7–9, use the tablebelow. Let the, , symbol equal 1 student. Draw the number of symbols needed to show the data for each subject.

7. Math

8. Science

9. Reading

For 10–13, write the fact family for each set of numbers.

10. 6, 5, 11

11. 7, 2, 9

12. 9, 8, 17

13. 4, 1, 5

For 4–6, use the calendar to answer each question.

NovemberSun Mon Tue Wed Thu Fri Sat

1 2 3 4

5 6 7 8 9 10 11

12 13 14 15 16 17 18

19 20 21 22 23 24 25

26 27 28 29 30

4. How many Mondays are in November?

5. Parade rehearsals start on November 7 and last for 15 days. On what day is the last day of rehearsals?

6. How many days are in November?

Favorite SubjectSubject Tally

Math

Science

Reading


Spiral Review

Week 12Name


For 1–3, write the amount.

1.

2.

3.

For 7–9, use the Class Eye Color table.

7. How many girls have brown eyes?

8. How many students have blue eyes in all?

9. How many students were surveyed in all?

For 10–12, find a pattern and fill in the missing number.

10. 3, 5, 7, , 11, 13

11. 17, 16, 15, 14, 13,

12. 25, 30, 35, , 45

For 4–6, use the timeline to answer each question.

4. Which was invented first, the airplane or the bicycle?

5. What happened between the inventions of the hot air balloon and the building of the first subway?

6. In what order were the airplane, the bicycle, and the hot air balloon invented?

blue

brown

green

6

3

2

boys

Class Eye Color

3

2

1

girls


Spiral Review

Week 13Name


For 1–5, circle the amount that is greater.

1. 4 nickels or 1 quarter

2. 1 dollar or 11 dimes

3. 6 dimes or 2 quarters

4. 9 pennies or 2 nickels

5. 18 nickels or 1 dollar


Po

ints

PlayerNich

olas

Hunte

r

Meg

an

Victor

ia

Austin

Aaron

Sarah

Tyler

0369

12151821

Points Scored

9. Which player scored the most points?

10. How many points did Nicholas score?

11. How many more points did Tyler score than Sarah scored?

For 12–15, write the next number in the pattern.

12. 3, 6, 9, 12, 15,

13. 1, 1, 2, 2, 3, 3, 4,

14. 5, 8, 11, 14, 17,

15. 10, 20, 30, 40, 10, 20,


6.

8910

11 12

7 6 543

21

7.

8910

11 12

7 6 543

21

8.

8910

11 12

7 6 543

21


Spiral Review

Week 14Name


For 1–5, find the amount of change.

1. Billy buys a box of cereal for $3.57. He pays with a $5 bill.

2. Carla buys a box of markers for $6.28. She pays with a $10 bill.

3. Diego buys a game for $12.08. He pays with two $10 bills.

4. Evan buys a meal for $8.34. He pays with a $10 bill.

5. Fran buys a hamster for $15.80. She pays with two $10 bills.

For 11–13, use the line plot to answer each question.

11. What was the least number of questions answered incorrectly?

12. How many people answered 7 questions incorrectly?

13. What was the greatest number of questions answered incorrectly?



15. Make two rectangles.

16. Make two trapezoids.

17. Make one triangle and one trapezoid.

For 6–10, write the time using numbers. Use A.M. or P.M.

6. quarter before 9 in the morning

7. 10 minutes after 11 in the morning

8. 5 minutes after 7 at night

9. one half-hour before midnight

10. quarter after noon


Spiral Review

Name Week 15



For 1–5, find the sum or difference.

1. $3.41 2. $41.82 �$7.19 �$28.37

3. $5.00 4. $43.80 �$4.91 �$26.85

5. $0.47 �$2.83

For 6–8, use a clock to find the elapsed time.

Start End

6. 4:50 A.M. 7:40 A.M.

7. 8:45 A.M. 5:15 P.M.

8. 1:30 P.M. 6:00 P.M.

9. Which day had the lowest

attendance?

10. How many more people attended Thursday’s performance than Sunday’s performance?

Att

end

ance

School Play Attendance

DaySun Wed Thu FriTueMon

400350300250200150100500

450

For 11–13, write the ordered pair for the letter.

11. C

12. N

13. V


Spiral Review

Name Week 16

Spiral ReviewSR16

For 8–10, complete the sentence with the phrase less likely than, more likely than, or equally likely to.

For 1–4, find the product.

1.

2 � 5 �

2.

3 � 2 �

3.

5 � 4 �

4.

1 � 7 �

For 5–7, use the calendar to answer each question.

DecemberSun Mon Tue Wed Thu Fri Sat

1 2 3 4 5 6 7

8 9 10 11 12 13 14

15 16 17 18 19 20 21

22 23 24 25 26 27 28

29 30 31

5. How many days are in 2 weeks and 5 days?

6. How many weeks are in 28 days?

7. How many days are in December?

8. Pulling a black marble is

pulling a gray marble.

9. Pulling a white marble is

pulling a black marble.

10. Pulling a white marble is

pulling a gray marble.

For 11–14, write the number of vertices.

Figure Vertices

11.

12.

13.

14.



Spiral Review

Week 17Name


For 7–8, list the possible outcomes.

7.

Kendra flips a dime.

8.

Jonah spins the spinner.


1.

2 � 7 �

2.

4 � 8 �

3.

3 � 9 �

For 4–6, use the first six presidents timeline to answer each question.

4. Who was president earlier, James Madison or John Adams?

5. How many presidents were

elected before 1800?

6. How many years was Thomas

Jefferson president?

For 9–11, use the table to answer each question.

Batteries 3 6 9

Money $5 $10 $15

9. What is the rule for this table?

10. How much would it cost to buy 15 batteries?

11. How many batteries can be bought with $30?


Spiral Review

Week 18Name


For 9–10, answer each question using the line plot.

9. The line plot graphs what happened when a number cube was rolled 13 times. What number would you most likely expect to be rolled next?

10. What number would you least

likely expect to be rolled next?

For 11−13, draw a line to match the figure with the matching number of sides. Figure Number of Sides

11. 3

12. 0

13. 4


1. 4 � 3 �

2. 7 � 5 �

3. 8 � 3 �

4. 10 � 6 �

5. 2 � 9 �

For 6–8, draw the time shown on the digital clock on the analog clock.

6.

7.

8.

8910

11 12

7 6 543

21

8910

11 12

7 6 543

21

8910

11 12

7 6 543

21

9:41

10:38

2:23


Spiral Review

Week 19Name


For 1−5, find the product.

1. 1 � 8 �

2. 9 � 0 �

3. 10 � 1 �

4. 15 � 0 �

5. 0 � 21 �

For 11−13, tell the number of possible combinations.

11. markers: blue, green, red, orange, black paper: construction, manila, newsprint

12. food: pasta, pizza, salad, cereal beverage: water, juice, tea

13. pants: blue, tan, black shirts: blue, white, striped ties: red, striped, starry

For 14−18, write the missing factor.

14. 10 � � 100

15. 8 � � 32

16. 7 � � 56

17. � 9 � 18

18. 4 � � 4

For 6−10, fill in the blank with A.M. or P.M.

6. Dance lessons start at

4:00 . 7. The marching band practices

before school at

7:30 .

8. I work this afternoon until

5:00 .

9. The first graders go to art at

9:40 .

10. The baseball game is starting at

6:00 .


Spiral Review

Week 20Name


For 1−5, find the product.

1. 5 � 4 �

2. 8 � 6 �

3. 9 � 4 �

4. 10 � 10 �

5. 2 � 7 �

For 9−11, use the graph to answer each question.

Key: Each = 2 cups.

Beverages Served

Apple Juice

Lemonade

Orange Juice

Milk

9. What was the beverage served most often?

10. How many cups of apple juice were served?

11. How many more cups of lemonade were served than cups of milk?

For 12−14, draw a line to match the name with the figure.

Figure Name

12. line segment

13. right angle

14. ray

For 6−8, use a clock to find the elapsed time.

Start End

6. 12:10 A.M. 9:20 A.M.

7. 4:25 A.M. 1:00 P.M.

8. 9:00 P.M. 2:15 A.M.


Week 21

Spiral Review

Name


For 9–11, write the first three steps for making a pictograph in the correct order.

For 12–14, find the missing number.

12. (5 � ) � 4 � 40

13. 5 � (3 � ) � 45

14. (2 � ) � 7 � 56


1. 3 � 4 � 2 �

2. 3 � 3 � 3 �

3. 3 � 4 � 3 �

4. 5 � 5 � 2 �

5. 3 � 2 � 7 �

For 6–8, use the calendar.

6. How many Mondays are in January?

7. Play rehearsal starts on January

7. It lasts for 18 days. On what day is the last day of rehearsal?

8. How many days are in January?

JanuarySun Mon Tue Wed Thu Fri Sat

1 2 3 4 5

6 7 8 9 10 11 12

13 14 15 16 17 18 19

20 21 22 23 24 25 26

27 28 29 30 31

A. Write a label for each row.

B. Choose a key to tell how many each picture stands for.

C. Choose a title.

9.

10.

11.


Spiral Review

Week 22Name


For 7–9, use the Fruit Smoothies Sold table.

For 10–12, draw a line to match the lines with the correct name.

Lines Name

10. parallel

11. intersecting

12. perpendicular

For 4–6, use the timeline to answer each question.

4. Which happened first, Babe Didrikson’s award or Mia Hamm’s Award?

5. Which happened first, the first international female softball tournament or Mia Hamm’s award?

6. In what year did the first female get paid to umpire a baseball game?

7. How many small smoothies were sold in all?

8. How many banana smoothies were sold in all?

9. How many smoothies were sold in all?

For 1–3, write a division problem for each model.

1.

2.

3.

small

medium

large

6

2

3

melonbanana

Fruit Smoothies Sold

4

4

7

6

4

5

strawberry


Spiral Review

Week 23Name

Hersh

eypa

rk

Disney

land

Cedar

Poin

t

Lego

land

Nu

mb

er o

f R

ides

80

60

40

20

0

Amusement Park Rides

Amusement Park


For 8–10, use the graph to answer the questions.


6.

8910

11 12

7 6 543

21

7.

8910

11 12

7 6 543

21

8. How many parks have over 60 rides?

9. Which park has about 62 rides?

10. Which parks have the same number of rides?

For 1–5, find the sum or difference.

1. $9.16 2. $32.91 �$4.28 �$19.28

3. $7.00 4. $23.04 �$5.28 �$11.61

5. $9.27 �$3.74

8:32

12:27

For 11–12, write the fact family for the set of numbers.

11. 7, 4, 28

12. 5, 7, 35


Spiral Review

Name Week 24


For 11–13, answer the questions using the information in the line plot.

For 6–10, write the time using numbers. Use A.M. or P.M.

6. quarter after 7 in the evening

7. 10 minutes before 10 in the

morning

8. 25 minutes after 9 at night

9. one half-hour after noon

10. quarter before 6 in the morning

11. How many more houses have 7 rooms than have 6 rooms?



For 1–5, find each quotient.

1. 50 � 5 �

2. 36 � 6 �

3. 54 � 6 �

4. 42 � 7 �

5. 27 � 9 �

For 14–16, draw a figure that makes the line a line of symmetry.

14.

15.

16.


Spiral Review

Week 25Name

Hei

gh

t (c

m)

Plant’s Height

End of Week#1 #5#4#3#2

1210

86420

14



9. Between which two consecutive weeks did the plant grow the most?

10. At the end of which week did the plant reach 12 centimeters tall?

For 1–5, find each quotient.

1. 63 � 7 �

2. 42 � 6 �

3. 56 � 7 �

4. 48 � 8 �

5. 35 � 7 �


6.

8910

11 12

7 6 543

21

7.

8910

11 12

7 6 543

21

8.

8910

11 12

7 6 543

21

For 11–12, write a number sentence to solve.

11. Mr. Coe signs 10 contracts today. If he signs the same number of contracts every day, how many contracts will he sign in 7 days?

12. Ping cleaned out the pantry. She threw away 2 items from each shelf. There are 9 shelves. How many items did Ping throw away?

11:27

12:03

4:41


Spiral Review

Week 26Name


For 1−5, write the numbers in order from least to greatest.

1. 707, 139, 610, 601

2. 475, 919, 199, 105

3. 1,978; 2,559; 1,879; 1,421

4. 2,228; 3,366; 3,334; 2,316

5. 7,845; 7,942; 7,930; 7,854

For 10−13, complete the sentence with the phrase less likely than, more likely than, or equally likely to.

10. The pointer landing on a gray section is the pointer landing on a white section.

11. The pointer landing on a black section is the pointer landing on a gray section.

12. The pointer landing on a white section is the pointer landing on a black section.

13. The pointer landing on a number is the pointer landing on a letter.

For 14−17, draw a line to match the figure to the name.

14. square

15. trapezoid

16. rhombus

17. rectangle

For 6−9, draw a line to match the description of the object with the best unit of measure.

6. distance between two cities yard

7. length of a sports field inch

8. width of butterfly wings mile

9. height of a house foot


Spiral Review

Week 27Name


For 1–5, find the sum. Use subtraction to check.

1. 567 2. 789 � 207 � 116

3. 207 4. 836 � 718 � 855

5. 207 � 793

For 9–10, list the possible outcomes for each.

9.

Tom picks a sock.

10.

Lila spins the pointer.

For 11–14, write the next number in the pattern.

11. 1, 5, 9, 13

12. 5, 7, 2, 1, 5, 7, 2, 1

13. 5, 8, 11, 14, 17,

14. 10, 17, 15, 22, 20, 27, 25

For 6–8, fill in the blank. A small paper clip is about 1 in. long.

6.

This string is about inch(es) long.

7.

This crayon is about inch(es) long.

8.

This leaf is about inch(es) long.


Spiral Review

Week 28Name


For 1–4, use the pictures to find the missing factor.

1. � 4 � 8

2. � 4 � 12

3. � 1 � 4

4. � 12 � 12

For 8–9, answer each question using the information in the line plot.

8. The line plot shows what happened when one card was drawn from a pile. What card would you expect

to be drawn next?

9. What card would you least expect to be drawn next?

For 5–7, tell whether the action requires an estimate or an exact measurement.

5. Tina fills a glass with some milk to drink.

6. Maria uses 60 inches of fabric to make a skirt.

7. Linda is making chili. The recipe calls for 1

3 cup of tomato paste.

For 10–12, draw a line to match the triangle with the correct name.

10. equilateral

11. isosceles

12. scalene


Spiral Review

Week 29Name


For 9–10, tell the number of combinations.

9. bread: rye, wheat, white meat: bologna, roast beef, ham,

turkey

10. packaging: gift bag, wrapping paper, box

filling: tissue paper, raffia, confetti, foam, bubble wrap


1. 7,467

2. 3,507

3. 9,291

4. 974

5. 3,074

For 6–8, choose the unit you would use to weigh each. Write ounce or pound.

6.

7.

8.

For 11–14, draw the next figure in the pattern.

11.

12.

13.

14.


Spiral Review

Name Week 30


For 6–8, use the Entertainment Choices table.

comedy

drama

mystery

1

2

0

Play

Entertainment Choices

Movie Book

4

2

1

5

3

4

6. What type of entertainment has the most Mystery choices?

7. How many dramas are there to choose from?

8. How many movie choices are there in all?

For 1–2, write a division sentence for the model.

1.

2.

For 3–5, use the thermometers.

°F°F

60

40

50

60

40

50

3. The temperature rose 6°F from 7:00 A.M. to 8:00 A.M. What was the temperature at 8:00 A.M.?

4. The temperature at 12:00 P.M. was 5°F cooler than the temperature at 3:00 P.M. What was the temperature at

12:00 P.M.?

5. Was the temperature cooler at

7:00 A.M. or at 3:00 P.M.?

For 9–12, draw lines to match the description with the name of the quadrilateral.

9. four sides the same rhombuslength, four right angles

10. two sides parallel, squaretwo sides not parallel

11. two pairs of sides rectanglethe same length, four right angles

12. four sides the same trapezoidlength, no right angles

7:00 A.M. 3:00 P.M.


Spiral Review

Name Week 31



For 1–4, name the fraction represented by the shaded part.

1.

2.

3.

4.

For 5–7, fill in the blanks.A child’s finger is about 1 centimeter wide.

5.

This string is between and

centimeters long.

6.

This crayon is between and

centimeters long.

7.

This leaf is between and centimeters long.

8. On which day(s) was the closing price over $16?

9. Which day had the lowest closing price?

Clo

sin

g P

rice

Price of Acme Stock

Day

Mon

day

Friday

Thurs

day

Wed

nesd

ay

Tuesd

ay

$20$24

$16$12$8$4

$0

For 10–12, complete the fact family for the set of numbers.

10. 2 � 5 � 7

11. 15 � 9 � 6

12. 6 � 8 � 48


Spiral Review

Name Week 32

For 7–9, answer each question using the information in the line plot.

7. How many students have 2 pencils in their desk?



For 1–3, shade the equivalent fraction. Then write the equivalent fraction.

1.

2.

3.

For 4–6, draw lines to match the object with the best metric unit of measure.

4. milliliter

5. liter

6. kiloliter

1

2

5

6

1

8

For 10–12, draw a line to the name for the gray-shaded part.

10. radius

11. center

12. diameter



Spiral Review

Name Week 33


For 7–9, complete the sentence with the phrase less likely than, more likely than, or equally likely to.

7. Pulling a black marble is

pulling a striped marble.

8. Pulling a striped marble is

pulling a white marble.

9. Pulling a gray marble is

pulling a white marble.

For 1–2, compare the fractions using the number lines. Write < , >, or = for each .

For 4–6, choose the unit you would use to weigh each. Write ounce or pound.

4.

5.

6.

1. 49

25

2. 17

15

For 3, compare the decimals. Write ,, ., or � for the .

3. 4.2 3.8


10. T

11. P


Spiral Review

Name Week 34


For 10–11, list the possible outcomes for each.

10.

−−−− −−−−− − −−−−−−−

11.

−−−−− −−−−− − −−− −−−−

For 1–5, find the sum or difference. Write the answer in simplest form.

1. 38

− 28

−

2. 14

− 24

−

3. 89

− 39

−

4. 710

− 310

−

5. 1112

− 512

−

For 6–9, find the perimeter of each figure.

6.

−−−−−

7. −−−−−

8. −−−−−

9. −−−−−

For 12–13, draw a figure congruent to the one shown.

12.

13.

For 14, draw a figure similar to the one shown.

14.


Spiral Review

Name Week 35


For 9–10, answer the questions using the information in the table.

9. The table shows what happened when a spinner was spun 20 times. What color/pattern would you expect to be spun next?

10. What color/pattern would you least expect to be spun next?


1. 27 4. 618 � 6 � 2

2. 49 5. 708 � 3 � 5

3. 81 � 4

For 6–8, give the area of the figure.

6.

square units

7. square units

8. square units

gray whiteblackstriped


11. F

12. R

13. N

14. S


Spiral Review

Name Week 36

For 11–13, draw a figure with the given line of symmetry.

11.

12.

13.


For 9–10, tell the number of combinations.

9. flavor: vanilla, chocolate, strawberry, butter pecan

toppings: peanuts, sprinkles, strawberries, pineapple, cherries, whipped cream

10. students: Joe, Marcus, Julie, Bob, Rachel

hats: baseball cap, visor,sombrero

For 1–5, find the quotient. Use multiplication to check.

1. 2 ) ___

34

3. 7 ) ____

399

5. 9 ) ____

486

2. 4 ) ___

52

4. 3 ) ____

747

For 6–8, find the volume of the solid figure.

6. cubic units

7.

cubic units

8.

cubic units


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