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Homework Practiceand Problem-Solving
Practice Workbook
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opyright by the McGraw-Hill Companies, Inc. All rights reserved.xcept as permitted under the United States Copyright Act, no part ofhis publication may be reproduced or distributed in any form or by any
means, or stored in a database or retrieval system, without prior writtenermission of the publisher.
end all inquiries to:acmillan/McGraw-Hill787 Orion Placeolumbus, OH 43240
BN: 978-0-02-111967-7
HID: 0-02-111967-8 Homework Practice/Problem Solving Practice Workbook, Grade 3
rinted in the United States of America.
5 6 7 8 9 10 11 12 13 005 17 16 15 14 13 12 11 10 09
O THE TEACHER These worksheets are the same ones found in the Chapteresource Masters for California Mathematics, Grade 3. The answers to these
worksheets are available at the end of each Chapter Resource Masters booklet.
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Chapter 1 Place Value andNumber Sense
1-1 Number Patterns.................................................. 11-2 Problem-Solving Strategy: Use
the Four-Step Plan ........................................... ... 31-3 Place Value through 1,000 ............................... 51-4 Place Value through 10,000 ............................ 7
1-5 Problem-Solving Investigation:Use the Four-Step Plan ...................................... 91-6 Compare Numbers ........................................... .111-7 Order Numbers ..................................................131-8 Round to the Nearest 10
and 100 ................................................................151-9 Round to the Nearest 1,000 ..........................17
Chapter 2 Addition2-1 Addition Properties .......................................... .19
2-2 Problem-Solving Skill:Estimate or Exact Answer ...............................212-3 Estimate Sums .......................................... ..........232-4 Two-Digit Addition ............................................252-5 Add Money ..........................................................272-6 Problem-Solving Investigation:
Choose a Strategy .............................................292-7 Three-Digit Addition ......................................... .312-8 Add Greater Numbers ......................................33
Chapter 3 Subtraction3-1 Two-Digit Subtraction .......................................353-2 Estimate Differences .........................................373-3 Subtract Money ..................................................393-4 Problem-Solving Skill:
Reasonable Answers ........................................413-5 Three-Digit Subtraction
with Regrouping............................................... ..433-6 Problem-Solving Investigation:
Choose a Strategy .............................................453-7 Subtract Greater Numbers ..............................47
3-8 Subtract Across Zeros .......................................493-9 Algebra: Expressions andNumber Sentences............................................51
Chapter 4 MultiplicationConcepts and Facts
4-1 Multiplication as Repeated Addition ...........534-2 Arrays and Multiplication ................................554-3 Multiply by 2 .......................................................574-4 Multiply by 4 .......................................................594-5 Problem-Solving Skill:
Extra or Missing Information ..........................614-6 Multiply by 5 .......................................................63
4-7 Multiply by 10 ............................................... ......654-8 Problem-Solving Investigation:
Choose a Strategy .............................................674-9 Multiply by 0 and 1 ...........................................69
Chapter 5 More MultiplicationFacts
5-1 Multiply by 3 .......................................................715-2 Multiply by 6 .......................................................735-3 Problem-Solving Strategy:
Look for a Pattern ..............................................755-4 Multiply by 7 .......................................................775-5 Multiply by 8 .......................................................795-6 Multiply by 9 .......................................................815-7 Problem-Solving Investigation:
Choose a Strategy .............................................835-8 Algebra: Associative Property.........................855-9 Algebra: Find a Rule .........................................87
Chapter 6 Division Conceptsand Facts
6-1 Relate Division and Subtraction....................896-2 Relate Multiplication to Division ...................916-3 Problem-Solving Skill:
Choose an Operation .......................................936-4 Divide by 2 ............................................. ..............956-5 Divide by 5 ............................................. ..............976-6 Problem-Solving Investigation:
Choose a Strategy .............................................99
6-7 Divide by 10 .......................................... ........... 1016-8 Division Properties ......................................... 103
Chapter 7 More Division Facts7-1 Divide by 3 ............................................. ........... 1057-2 Divide by 4 ............................................. ........... 1077-3 Problem-Solving Strategy:
Make a Table......................................... ........... 1097-4 Divide by 6 and 7 ........................................... 1117-5 Divide by 8 and 9 ........................................... 1137-6 Find Unit Cost .............................................. .... 115
7-7 Problem-Solving Investigation:Choose a Strategy .......................................... 117
7-8 Algebra: Expressions and Equations ........ 1197-9 Algebra: Translate Words
to Expressions .............................................. .... 121
Chapter 8 Measurement:Customary System
8-1 Length to the Nearest Half Inch ................ 1238-2 Customary Units of Length .......................... 1258-3 Problem-Solving Strategy:
Work Backward ............................................ ... 1278-4 Customary Units of Capacity ....................... 129
Contents
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-5 Problem-Solving Investigation:Choose a Strategy .......................................... 131
-6 Customary Units of Weight.......................... 133-7 Convert Units of Time ................................... 135
hapter 9 Measurement:Metric System
-1 Metric Units of Length................................... 137-2 Problem-Solving Strategy:
Guess and Check ............................................ 139-3 Metric Units of Capacity ............................... 141-4 Problem-Solving Investigation:
Choose a Strategy .......................................... 143-5 Metric Units of Mass ...................................... 145-6 Metric Unit Conversions ............................... 147
hapter 10 Measurementand Geometry
0-1 Geometry: Polygons .................................... 1490-2 Measurement: Perimeter ........................... 151
0-3 Measurement: Area ..................................... 1530-4 Problem-Solving Strategy:
Work a Simpler Problem .............................. 1550-5 Geometry: Triangles .................................... 1570-6 Geometry: Quadrilaterals .......................... 1590-7 Problem-Solving Investigation:
Choose a Strategy .......................................... 1610-8 Geometry: Solid Figures ............................. 1630-9 Geometry: Complex Solid Figures .......... 1650-10 Measurement: Volume ............................ 167
hapter 11 Statistics: Data,Graphs, andProbability
1-1 Bar Graphs ................................................ ..... 1691-2 Line Plots ........................................... ............. 1711-3 Problem-Solving Strategy: Make
an Organized List ............................................ 1731-4 Identify Probability ....................................... 1751-5 Problem-Solving Investigation:
Choose a Strategy .......................................... 177
1-6 Make Predictions .......................................... 179
hapter 12 Fractions2-1 Parts of a Whole ........................................... 1812-2 Problem-Solving Investigation:
Choose a Strategy .......................................... 183
12-3 Find Equivalent Fractions .......................... 18512-4 Problem-Solving Strategy:
Draw a Picture ............................................... .. 18712-5 Compare Fractions....................................... 18912-6 Add Fractions ............................................... .. 19112-7 Subtract Fractions ........................................ 193
Chapter 13 Fractionsand Decimals
13-1 Tenths ............................................. ................. 19513-2 Hundredths ........................................... ......... 19713-3 Problem-Solving Strategy: Act It Out ..... 19913-4 Decimals and Money .................................. 20113-5 Problem-Solving Investigation:
Choose a Strategy .......................................... 203
Chapter 14 Multiply by One-DigitNumbers
14-1 Multiply Multiples of 10, 100,and 1,000 ......................................... ................. 205
14-2 Problem-Solving Strategy:Use Logical Reasoning .................................. 207
14-3 Estimate Products ........................................ 20914-4 Multiply by a One-Digit Number ............. 21114-5 Problem-Solving Investigation:
Choose a Strategy .......................................... 21314-6 Multiply Two-Digit Numbers .................... 21514-7 Multiply Greater Numbers ......................... 21714-8 Multiply Money ............................................ . 219
Chapter 15 Divide by One-Digit
Numbers15-1 Divide Multiples of 10, 100, 1,000 ........ 22115-2 Estimate Quotients ...................................... 22315-3 Two-Digit Quotients .................................... 22515-4 Problem-Solving Strategy:
Work Backward .............................................. . 22715-5 Three-Digit Quotients ................................. 22915-6 Problem-Solving Investigation:
Choose a Strategy .......................................... 23115-7 Divide Money ............................................... . 233
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Name Date
Grade 3 1 Chapter 1
Copyright
Macmillan
/McGraw-Hill,adivisionofTheMcGraw-HillCompanies,
Inc.
Homework Practice
Number Patterns
Identify the pattern. Then find the missing numbers.
1. 3, , 9, , 15 2. 111, 115, , 123, 127
3. 50, 70, , 110, 4. 48, 46, , 42,
5. 120, 100, , 60, 6. 7, , 11, , 15
7. Some friends volunteer at a pet shelter. If the patterncontinues, how many hours will Antonio and Vanessa
volunteer? Vincent 2 hours
Rachel 5 hours
Alex 8 hours
Antonio
Vanessa
Complete each multiplication sentence.
8. 5 2 = 3 5 = 2 3 =
9. 8 5 = 6 5 = 10 7 =
10. 9 5 = 6 10 = 2 7 =
11. 6 2 = 2 9 = 2 10 =
12. Kayla has 25 beads to give to 5 friends. She will give thesame number to each friend. How many beads will eachfriend get?
3NS1.111
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Grade 3 3 Chapter 1
Copyright
Macmillan
/McGraw-Hill,adivisionofTheMcGraw-HillCompanies,
Inc.
Solve. Use the four-step plan.
Homework Practice
Problem-Solving Strategy
123MR1.1, 3NS2.1
1. Tania starts a game with 300 points.In four rounds of the game, she adds25 points each round. How manypoints does Tania have at the end offour rounds?
2. Victoria buys sunglasses for $6.95.If she gives the cashier two $5-bills,how much change will she get?
3. Sylvias game piece is on box 25 ofa game board. She moves it ahead5 boxes, three times. Where is hergame piece now?
4. Rebecca and Haley went to a fair.
Each girl bought four differentkinds of cookies. How many kindsof cookies did they buy in all?
Identify the pattern. Then find the missing numbers. (Lesson 1-1)
5. 8, 10, , 14, , 6. 76, , 72, ,
7. 55, , 65, , 8. 108, 105, , 99,
9. 560, 660, , , 960 10. 15, , 45, 60,
11. Henry draws 5 circles, 10 circles, 15 circles, and then 20circles. If the pattern continues, how many circles will Henrydraw in the next row?
12. Fran likes to buy flowers each week. The first week shebuys white flowers, the second week she buys red flowers,and the third week she buys yellow flowers. If the patterncontinues, what color will she buy in the fifth week?
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Write each number in expanded formand word form.
1. 2,368 Expanded form:
Word form:
2. 4,572
Expanded form:
Word form:
Write the place of the underlined digit. Then write the valueof the digit.
3. 567
4. 6,327
Write each number in standard form.
5. 5,000 +500 +3 6. 2,000 +300 +20 +9
Homework Practice
Place Value through 1,000
3NS1.3, 3NS1.5
Solve. Use the four-step plan. (Lesson 1-2)
7. Lauren and Christina went to thestore to buy cheese for a party.Each bought 3 different kinds ofcheese. How many different kindsof cheese did they buy?
8. Erin practiced 2 songs on herflute on Monday. On Tuesdayshe practiced 4 songs and onWednesday she practiced 6 songIf the pattern continues, how masongs will she practice on Friday?
13
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Grade 3 6 Chapter 1
Copyright
Macmillan/McGraw-Hill,adivisionofTheMcGraw-HillCompanies,Inc.
Solve.
1. There are 4,563 seats in a local sports arena. Write thatnumber in expanded form.
2. How many tens are there in 7,652?
3. The Harris family traveled 1,355 miles to San Francisco. Howmany more tens than hundreds are in the number of milesthey traveled?
4. Mr. Holt wrote this number on the board:
4,000 +40 +7
What number is this in standard form?
5. A Spanish dictionary in the library has 1,324 pages. A Frenchdictionary has 200 more pages than the Spanish dictionary.How many pages are in the French dictionary?
6. Kyle is in seat number 1,024. The number on Sierras seathas the same number of thousands and tens as Kylesnumber, but 2 more hundreds and 3 fewer ones than Kylesnumber. What is Sierras seat number?
Problem-Solving Practice
Place Value through 1,000
3NS1.3, 3NS1.513
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Grade 3 7 Chapter 1
Copyright
Macmillan
/McGraw-Hill,adivisionofTheMcGraw-HillCompan
ies,
Inc.
1. 4,559
3. 55,303
5. 23,901
2. 48,351
4. 67,842
6. 15,221
Write the place of each underlined digit. Then write its value.
Homework Practice
Place Value through 10,000
Write each number in expanded form.
7. 60,872
8. 34,759
9. 1,259
3NS1.3, 3NS1.5
Write each number instandard form.
10. 50,000 +4,000 +900 +80 +2
11. 40,000+
3,000+
300+
70+
7
Identify the pattern. Then find the missing numbers. (Lesson 1-3)
12. 65, 60, , , 45, 40 14. 33, 43, , , 73,
13. 54, , 60, , 66, 15. 543, 539, , 531, ,
Solve.
16.Jacob bought 2 tropical fish on Monday, 5 on Tuesday, and 8on Wednesday. If this pattern continues, how many tropicalfish will he buy on Thursday?
14
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Name Date
olve.
1. The North Avenue Library owns 145,672 books. Write thatnumber in expanded form.
2. The town that Jose lives in has 431,988 people. What is thevalue of the 9 in this number?
3. Last month, Fresh Juice Company sold 654,019 bottles oforange juice. This month, the number of bottles sold wasfive thousand more than last months number. How manybottles of orange juice were sold this month?
4. There are 70,000 +5,000 +400 flowers in the MayvilleTown Park. In standard form, how many flowers are there?
5. Use the two clues below to find the six-digit number.Clue 1: Each digit increases by one. For example: 345,678.Clue 2: If you add all six numbers, the answer is 21.What is the six-digit number?
Problem-Solving Practice
Place Value through 10,000
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Name Date
Grade 3 9 Chapter 1
Copyright
Macmillan
/McGraw-Hill,adivisionofTheMcGraw-HillCompan
ies,
Inc.
15Homework Practice
Problem-Solving Investigation
Solve using the four-step plan.
1. The pine tree in Mr. Georges yard is 35 feet tall. The oak treein his yard is 43 feet tall. How much taller is the oak treethan the pine tree?
2. Mirandas garden has three rows. There are 13 rose plantsin the first row, 7 lily plants in the second row, and 12 daisy
plants in the third row. How many plants are in Mirandasgarden?
3. Jasons dog weighs 13 pounds. Davids dog weighs 12pounds more than Jasons dog. How much does Davidsdog weigh?
Write the place of each underlined digit. Then write itsvalue. (Lesson 1-4)
4. 5,609
5. 47 ,898
6. 34,332
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Problem-Solving Practice
Compare Numbers
olve.
1. Julia has read 120 pages of her book for her book report.Deanna has read 112 pages. Who has read more pagesso far?
2. In the school bookstore, a pen costs $2.44. A large notebookcosts $2.33. Which costs less, the pen or the notebook?
3. Mrs. Fallon gave her class a multiple-choice test. There were145 questions on the test. Philip answered 134 questionscorrectly. Nicole answered 141 questions correctly. Whoscored higher on the test?
How can you tell?
4. The skateboard that Pedro wants to buy costs thirty-fivedollars at Ninos Skate Shop. The same skateboard costs$43.00 at Mannys Skateboard Central. At which store shouldPedro buy his skateboard? Tell why.
5. Niko, Paul, and Jon all want to win a prize for selling themost fruit. Niko has 367 points, Paul has 455 points, and Jonhas 437 points. To win a prize, you must have at least 435points. Who will not win a prize?
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Grade 3 13 Chapter 1
Copyright
Macmillan
/McGraw-Hill,adivisionofTheMcGraw-HillCompan
ies,
Inc.
Homework Practice
Order Numbers
Order the numbers from greatestto least.
1. 5,668; 5,886; 8,585
2. $5.66; $6.55; $6.56
3. 6,432; 4,634; 4,346
4. 7,701; 7,101; 7,001
Order the numbers from leastto greatest.
5. 9,544; 9,455; 9,564
6. 7,878; 7,087; 7,778
7. 3,553; 3,335; 3,355
8. 6,461; 4,641; 6,641
Compare. Write >,
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Name Date
Problem-Solving Practice
Order Numbers
olve.
1. Jills soccer team has 14 members. Nicks team has 12members. Danielles team has 17 members. Write the teamsin order from the greatest to least number of members.
2. A pound of tomatoes costs $3.19. A pound of onions costs$0.99. A pound of potatoes costs $2.55. Write the foods in
order from the least to the most expensive.
Car Type Cost Number Sold
Sports Car $20,398 1,309
Sedan $14,990 3,980
Compact $9,887 2,881
3. According to the table, which car costs the most money?
4. Write the names of the cars in order from the least number
sold to the greatest number of cars sold.
5. Gigi has $6.98 in her wallet. Robert has $8.98 in his wallet.Toby has $5.00 more than Gigi in his wallet. Who has theleast amount of money?
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Grade 3 15 Chapter 1
Copyrig
ht
Macm
illan
/Mc
Gr
aw-H
ill,a
divisiono
fThe
Mc
Graw-H
illCompan
ies,
Inc.
Round to the nearest ten.
1. 56
4. 648
2. 4,588
5. 506
3. 6,444
6. 3,409
Round to the nearest hundred.
7. 569
10. 915
8. 1,413
11. 5,533
9. 2,978
12. 1,119
Order the numbers from leastto greatest. (Lesson 1-7)
13. 5,688; 5,866; 5,668
14. 4,209; 4,029; 4,299
15. 6,877; 6,788; 7,899
16. 3,362; 3,382; 3,128
Order the numbers from greatestto least.
17. 5,551; 5,051; 5,105
18. 3,225; 2,335; 3,235
19. 9,876; 9,879; 9,987
20. 1,027; 1,207; 1,072
21. 8,600; 8,006; 8,060
22. 7,474; 7,447; 7,744
18Homework Practice
Round to the Nearest 10 and 100
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Name Date
Problem-Solving Practice
Round to the Nearest 10 and 100
olve.
1. It takes Juan 13 minutes to walk to the store near his home.About how many minutes does it take to the nearest ten?
2. Garretts dog weighs 48 pounds. About how much does thedog weigh to the nearest ten?
3. A 36-inch television costs $509 at Sams Electronics. Thismonth it is on sale for $449. To the nearest hundred dollars,
what is the sale price of the television?
How much was it before the sale? Estimate to the nearesthundred dollars.
4. The U.S. Bank Tower in Los Angeles is 1,017 feet tall. Howtall is it to the nearest hundred feet?
5. Which three-digit numbers round to 500 when rounded tothe nearest hundred, and also round to 460 when roundedto the nearest ten?
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Name Date
Grade 3 17 Chapter 1
Copyright
Macmillan
/McGraw-Hill,adivisionofTheMcGraw-HillCompan
ies,
Inc.
19
Round to the nearest thousand.
Homework Practice
Round to the Nearest 1,000
1. 4,569
4. 3,569
2. 1,284
5. 8,440
3. 8,877
6. 12,899
Solve.
7. Luis and his family flew 1,487 miles last summer while on
vacation. Rounded to the nearest thousand, how many milesdid they fly?
8. Miles bought a car that cost $23,556. To the nearestthousand, how much did the car cost?
Round to the nearest ten. (Lesson 1-8)
9. 54
12. 143
10. 323
13. 1,093
11. 578
14. 1,566
Round to the nearest hundred.
15. 2,349
18. 677
21. 155
16. 3,441
19. 5,788
22. 4,975
17. 3,219
20. 8,892
23. 6,864
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Name Date
Problem-Solving Practice
Round to the Nearest 1,000
olve.
1. The Hansons new refrigerator cost $1,085. How much didthe refrigerator cost to the nearest thousand dollars?
2. The distance from Los Angeles to St. Louis is 1,845 miles.What is the distance between the cities to the nearestthousand miles?
3. The Morrisons paid $10,825 to have their house remodeled.The Wongs paid $400 less. How much to the nearestthousand dollars did the Wongs pay?
4. Hector lives in a city with a population of 79,702 people.What is the citys population to the nearest thousand?
5. The top-selling toy for 2005 had sales of 4,229. This was
1,800 more toys sold than the top-selling toy of 2004. To thenearest thousand, about how many toys were sold in 2004?
6. The Garcias bought a car for $27,567. What is the pricerounded to the nearest thousand?
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Name Date21
Homework Practice
Addition Properties
Find each sum. Identify the property shown.
1. 5 +4 = 2. 46 +0 =
4 +5 =
3. (7 + 9)+3 = 4. 1 + (9 + 5)=
(7 +3)+9 = (1 +9)+5 =
Find each missing number. Identify the property shown.
5. (0 + 7)+3 = +(7 + 3) 6. 20 +40 =40 +
Round to the nearest thousand.
7. 4,801
8. 3,192
9. 6,592
10. 5,038
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olve.
1. For a science project, Pedro must find 20 autumn leaves. Sofar, hes collected 9 yellow leaves, 5 red leaves, and 1 orangeleaf. How many leaves does he have so far? How many moredoes he need? Which addition property did you use?
2. In order to solve a math problem, Ryan switched the
parentheses from7 +(3 +6)to (7 +3)+6.
He told his teacher that he used the Commutative Property ofAddition. Was he correct?
3. Tamika is making a bracelet. She is using 3 wooden beads,5 gold beads, 4 blue beads, 5 silver beads, and 3 blackbeads. What is the total number of beads in her bracelet?
4. Jose has 9 T-shirts, 2 sweaters, 3 long-sleeved pullovers, and1 jacket. Find how many tops he has. Which property willmake your addition easier?
5. Rita has collected items to take to her recycling center. Shehas 7 boxes of paper, 2 bags of bottles, and 1 bag of cans.How many bags and boxes does she have?
Problem-Solving Practice
Addition Properties
3NS2.1, 3AF1.121
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Homework Practice
Problem-Solving Skill
Tell whether an estimate or an exact answer is needed.Then solve.
1. The principal of Sydney Elementary School wants atleast 50 students to enter the National Poetry Contest.In Mr. Ogdens class, 19 students entered the contest; inMrs. Hills class, 23 students entered; and in Miss Lees class,9 students entered. How many total students entered thecontest? Are there enough students?
2. The Coopertown Museum of Art has 45 paintings,12 sculptures, and 39 pieces of pottery. About how manytotal pieces of art does the museum have?
3. At Martas school library, there are 16 shelves of novels,8 shelves of picture books, and 21 shelves of history books.About how many shelves are there in all?
Find each sum. Identify the property shown. (Lesson 21)
4. 12 +(3 +4)= 5. (5 +4)+2 =
(12 +3)+4 = 5 +(2 +4)=
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Estimate each sum using rounding.
1. 504 +86 2. 15 +29
3. $7.10 +7.80 4. 428 +376
Estimate each sum using front-end estimation.
5. 646 +289 6. $3.80 +4.45
7. 102 +399
8. Last Saturday, 73 people worked out at the Ferndale FitnessCenter. On Sunday, 65 people worked out. About how manypeople were at the fitness center on those two days?
Tell whether an estimate or an exact answer is needed.Then solve. (Lesson 22)
9. Filipa wants to learn karate. One month of classes costs $55,and a karate suit costs $35. How much will she pay?
10. Every Sunday, Jamila and her family visit her grandparents.Then they go to visit her aunt. Her family drives 49 miles tosee her grandparents and drives 17 more miles to her auntshouse. How many miles do they drive?
Homework Practice
Estimate Sums
233NS1.4
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Name Date23
Problem-Solving Practice
Estimate Sums
olve.
1. If Kiki buys a digital camera that costs $73 and a book thatcosts $12, about how much will she pay?
2. Michelle has saved $11.30 from her allowance, and her sisterMaria has saved $5.85. They want to buy their mother a$17.00 pair of earrings for Mothers Day. Together, will they
have enough money? Explain.
se the information below for Exercises 3 and 4.
The Centerville Cinema sells movie tickets for the following
prices:
Child $6.50Adult $8.00Senior $6.25
3. Using front-end estimation, about how much will it cost ifRobert goes to a movie with his father and grandfather?
4. Two sisters are going to a movie with their grandmother andgrandfather. Estimate by rounding to find about how muchtheir tickets will cost in all.
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Name Date
olve.
1. In the Ripple Creek Zoo, there are four different kinds ofanimals. Fill in the chart below to find how many there are ineach group.
Bears Monkeys Deer Snakes6 brown bears 4 chimpanzees 7 antelopes 1 boa
2 polar bears 2 baboons 4 gazelles 2 pythons
2. Add your sums from Exercise 1 to find the total number ofanimals in Ripple Creek Zoo.
3. Only 50 people at a time can skate at Browns Ice Skating
Rink. There were already 21 people in the rink when 37Auburn Elementary School students arrived. How manypeople are now at the rink?
4. Briannas mother told her to do 50 minutes of homework.If she does 15 minutes of math homework, 20 minutes of
social studies, and 10 minutes of English, will this be enoughhomework time? How long has Brianna worked?
5. Pablos family went on a trip to the beach. In the morning,they drove 26 miles, and then after lunch they drove another45 miles. In all, how far did they travel?
Problem-Solving Practice
Two-Digit Addition
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Add. Use estimation to check for reasonableness.
1. 41 +18 = 2. $12 +$79 =
3. $0.08 +$0.76 = 4. $0.39 +$0.50 =
5. $68 +$8 = 6. $21 +$33 =
7. $13 +$78 = 8. $34 +$17 =
9. $46 +$89 = 10. $0.75 +$0.75 =
11. Anna has $15. If she buys a book that costs $9 and a poster
costing $4, how much money will she have left?
12. If Yolanda buys a birthday card for 36 and a thank-you cardfor 46, what will she pay in all?
Add. Check for reasonableness. (Lesson 24)
13. 55 +32 14. 19 +29
15. 65 +25
ALGEBRA Find each missing digit.
16. 18 + 3 =31 17. 9 +24 =63
18. 5 +35 =90
$51
Homework Practice
Add Money
253NS2.1, 3NS3.3
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Use the four-step plan, estimation, or an exact answer tosolve each problem.
1. Ernestos friend lives 7 blocks away from his house. OnSaturday morning, Ernesto rode his bike to his friends houseand rode back home later on. In the afternoon, he rode tohis friends house again, and later on he rode back home. Inall, how many blocks did he ride?
2. Mrs. Shelleys class is reading TheLion, the Witch, and theWardrobe.If they read 16 pages every week, how manypages can they read in 3 weeks?
3. At a dance recital, ballet dancers performed for 19 minutes,modern dancers performed for 24 minutes, and hip-hop
dancers performed for 12 minutes. About how long was therecital?
4. Al visits his grandparents every summer. Als mother driveshim 20 miles to the bus station. Al travels 475 miles on thebus to his grandparents house. How many miles does hetravel in all?
Add. Use estimation to check for reasonableness. (Lesson 25)
5. 46 +65 +81 7. 6 +12 +77
6. $55 +$13 +$38 8. $28 +$41 +$48
Homework Practice
Problem-Solving Investigation
3MR1.126
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Name Date
Find each sum. Use estimation to check for reasonableness.
1. $3.50 +$4.65
2. 29 +66
3. $4.45 +$3.08
4. 653 +284
5. 178 +99
6. $6.02 +$1.39
Solve. (Lesson 26)
7. Kevins family bought a pizza for dinner that cost $7.95. They
also bought 3 sodas: each soda cost $1.30. How much did allof these items cost?
8. A canary costs $89, and a birdcage costs $129. About howmuch do the bird and cage cost together?
9. A truck is delivering fresh vegetables to the Dixville GroceryStore. Starting from Bealstown, it goes 127 miles north toBentley, and then goes 139 miles west to Dixville. How manymiles is the entire trip to Dixville?
27Homework Practice
Three-Digit Addition
3NS2.1, 3NS3.3
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Name Date
Grade 3 37 Chapter 3
Copyright
Macmillan
/McGraw-Hill,adivisionofTheMcGraw-HillCompanies,
Inc.
Estimate each difference using rounding.
1. 57 2. 177 3. $4.50
_____
- 22_____
- 63________
-$1.27
Estimate each difference using compatible numbers.
4. 68 -22 5. $4.87 -$2.19 6. 215 -92
Estimate each difference using front-end estimation. 7. 223 8. $8.35 9. 742
______
- 145_______
- $4.62_______
-358
10. Colin wants to buy a CD for $12.87 and a bookfor $4.32. About how much more does the CD cost?
11. Shannons scout troop sold 357 boxes of cookies
last week. They started with 600 boxes to sell.About how many boxes do they have left to sell?
Subtract. (Lesson 31)
Homework Practice
Estimate Differences
323NS1.4, 3NS2.1
12. 32
____
- 113. 34
_____
- 1214. 43
____
- 815. 48
_____
- 35
16. 58
____
- 917. 50
_____
- 2718. 62
____
- 819. 64
_____
- 39
20. David scored 25 points in his basketball game. Sevenof his points were from free throws. The rest were goalsfrom the field. How many points were from the field?
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Subtract.
1. 1,816 2. 3,659 3. $4,718 4. 7,613
______
- 429_______
- 2,485_________
-$1,962________
-5,549
5. 1,237 -863 6. 2,689 -1,156
7. $2,879 -$1,675 8. 3,466 -2,132
9. $4,768 -$3,021 10. $7,547 -$5,223
11.There are 5,280 feet in a mile. Chloe has already walked1,753 feet. How much farther does she need to walk tocomplete a mile?
12. Seth has 2,374 Legos to build with. He used 1,142 to build a
car. How many Legos does he have left?
Use any strategy shown below to solve. Tell what strategyyou used. (Lesson 36)
13. 15 friends were playing at the park. 2 left to go to soccerpractice. 4 left to go home. And 3 more left to go to thelibrary. How many friends are left at the park?
14. Seths bus brings 37 kids to school. The next bus brings 42.If 118 kids come to school by bus, how many are on the
third bus?
Homework Practice
Subtract Greater Numbers
373NS2.1
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Name Date38
Votes for School President
Candidate Number of Votes
Ariana 200
Miguel
Tyrone
147
171
olve.
1. The best bowler in the JuniorBowlers League scored 150 points.
Jason scored 125 points. Howmany points higher did the bestbowler score than Jason?
points higher
2. There are 70 bowlers in the leaguethis year. There were only 54bowlers last year. How many morebowlers joined the league this
year?
more bowlers
se the chart to solve.
3. How many more votes did thewinner get than Miguel?
more votes
olve.
5. Harrison and Jordan played3 computer games. Jordan scored124 points in the first game and268 points in the second game.Harrison scored a total of 600points for all 3 games. How manypoints does Jordan need in thethird game to beat Harrison's
score?points
4. How many more votes did Tyroneneed to win the election?
more votes
6. Keisha is saving money for a newcomputer that costs $480. Shehas saved $175. She found acoupon for $50 off the price of thecomputer. How much more moneydoes Keisha need to save to buythe computer?
$ more
Problem-Solving Practice
Subtract Across Zeros
3MR 1.1
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3. A new house has 1,252 squarefeet of floor space. The ownerplans to cover 590 square feet
with carpeting and the rest withhardwood. How many square feetof hardwood will the owner need?
square feet
4. A can of paint can cover475 square feet. If the painterhas 2 cans of paint, can he cover900 square feet of walls?
Explain your answer.
1. Robert is 47 inches tall. His olderbrother Randy is 65 inches tall.How much taller is Randy thanRobert?
inches taller
2. Robert weighs 52 pounds.Randy weighs 68 pounds morethan Robert. How much doesRandy weigh?
pounds
5. Heather and Aaron each boughta set of markers. Heather paid$3.15 for her set. Aaron paid with
a $5-bill. He got back $2.35 inchange. How much more wereHeathers markers than Aarons?
$ more
6. There are 500 sheets of art paperin a pack. The pack has 125 whitesheets, 135 black sheets, and
115 yellow sheets. The rest of thesheets are red. How many redsheets of art paper are in the pack?
red sheets
Problem-Solving Practice
Algebra: Expressions and Number Sentences
3AF1.1, 3AF1.3
Write an expression and a number sentence for each problem. Then solve.
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Problem-Solving Practice
Multiplication as Repeated Addition
413NS2.2, 3MR2.3
Write an addition and a multiplication sentence.hen solve.
1. There are 3 people sitting at eachof 4 tables. How many people arethere in all?
2. Alisa needs to put 2 forks at eachof 8 table settings. How many forksin all does she need?
3. Renee jogs 5 miles a day, 4 dayseach week. How many miles doesshe jog each week?
miles
4. Henry lives 3 miles away fromthe mall. Henry can run a mile in6 minutes. If he can keep up thisspeed, how long will it take him to
run to the mall? minutes
5. It takes Sam 5 minutes to washa window. Sam has 9 windowsin his house to wash. If he starts
washing at 9:30 A.M., at what time
will he finish?
6. Heather spent $4 for a salad and$2 for a drink. She bought thesame lunch for 3 of her friends.She paid with three $10-bills. How
much change did she get back?
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Grade 3 58 Chapter 4
Copyrigh
t
Macmillan
/McGraw-Hill,
adivision
ofTh
e
McGraw-Hill
Com
panie
s,In
c.
Problem-Solving Practice
Multiply by 2
433NS2.2
Write an expression for each situation.Then solve.
1. There are 2 daisies in each vase.There are 8 vases. How many
daisies are there in all?
daisies
2. Maria plants 2 tomato seeds ineach flower pot. If there are
6 flower pots, how many tomatoseeds did Maria plant?
tomato seeds
3. There are 7 people in the Smithfamily. They all keep their gloves inone box in the closet. Each personhas 2 pairs of gloves. How manypairs of gloves are in the box?
pairs of gloves
4. Dad paid the cashier with two$5 bills. How much money did hepay?
$
5. Letti is coloring 9 flowers on twopages. How many flowers will Letticolor?
flowers
6. There are 4 children in a line. Howmany legs are there in all?
legs
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Grade 3 64 Chapter 4
Copyright
Macmillan/McGraw-Hill,adivisionofTheMcGraw-HillCompanies,Inc.
Write an expression for each situation.
Then solve.
Problem-Solving Practice
Multiply by 5
3NS2.2
1. There are 2 flowers in each vase.There are 5 vases. How manyflowers are there in all ?
flowers
3. There are 4 people in the Jonesfamily. They all keep their shoes inone closet. Each person has 5 pairsof shoes. How many pairs of shoesare in the box ?
pairs of shoes
5. Trish is coloring 7 flowers ona page. Each flower has 5 petals.How many petals must she colorto finish?
petals
2. Maria plants 5 seeds in each pot. Ifthere are 6 pots, how many seedsdid Maria plant ?
seeds
4. Mom bought five soccer balls. Shepaid with eight $5-bills. She did notget any change back. How muchdid the balls cost ?
6. Mrs. Ortiz bought 8 coloring booksas party favors. The books are $5each. She paid with two $20-bills.Will Mrs. Ortiz get any changeback ?
46
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Name Date47
Multiply.
1. 10 2. 10 3. 10 4. 10 5. 10
____
2____
9____
4____
8____
5
6. 10 7. 7 8. 10 9. 4 10. 10
____
3_____
10____
1_____
10____
6
11. 8 10 12. 10 7 13. 9 10
14. 10 10 15. 5 10 16. 6 10
17.There are 10 cats and 5 dogs. How many total legs are there?
18. A farmer has 10 cows. How many eyes and ears do the cows have?
Multiply. (Lesson 46)
19. 5 4 = 20. 7 5 = 21. 5 5 =
22. 5 6 = 23. 8 5 = 24. 5 3 =
25. 9 5 = 26. 6 5 = 27. 5 8 =
28. 5 7 = 29. 2 5 = 30. 5 9 =
Homework Practice
Multiply by 10
3NS2.2
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Problem-Solving Practice
Multiply by 10
3NS2.2
Write a multiplication sentence for each situation.hen solve.
1. In a game, Carlos ran with thefootball three times. Each time, heran 10 yards. How many yards didhe run ?
yards
3. Hal shoes horses on a farm. Todayhe put horseshoes on all thehooves of 10 horses. How manyhorseshoes did he put on ?
horseshoes
5. Ellen drives a van for the animalshelter. The van holds 10 animals.
This week she made 6 trips to theshelter. How many animals didshe drive ?
animals
2. The Appletown Zoo has10 monkeys. Each monkey getsone banana a day. How manybananas do the monkeys eateach day ?
bananas
4. Nine women have an appointmentat the nail salon. Kiki will polishall of their fingernails. How manyfingernails will Kiki polish today ?
fingernails
6. A childrens TV show is on10 days each month. On everyshow, Burton the Clown plays 3
songs. In the last month, he sangsix of all the songs that wereplayed. How many times did he
notsing last month ?
times
47
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Name Date
Grade 3 75 Chapter 5
Copyright
Macmillan
/McGraw-Hill,adivisionofTheMcGraw-HillCompan
ies,
Inc.
53
Solve.
1. Every home on Main Street has a dog and other pets.The first house has 1 dog and 1 cat. The second househas 1 dog and 2 cats. The third house has 1 dog and3 rabbits. The fourth house has 1 dog and 4 angel fish. If thepattern continues, the fifth house has 1 dog and how manyhamsters?
2. Ann is a pet babysitter. She gets paid to help the familieson Main Street with their pets every day. The first week sheearned $2. The second, $4. The third, $6. The fourth, $8. Whatdid she earn by the seventh week?
3. Ann decided to set up a pet parade. She had the pet ownerswalking in rows with their pets. In the first row she put1 owner with 1 pet. The second row had 2 owners with1 pet each. The third row had 1 pet owner and 2 pets. Thefourth row had 2 pet owners with 2 pets each. The fifth rowhad 1 pet owner with 3 pets. If the pattern continues, whatdid the sixth row have?
Multiply. (Lesson 52)
4. 3 6 = 5. 4 6 =
6. 6 6 = 7. 7 6 =
8. 6 8 = 9. 6 5 =
Homework Practice
Problem-Solving Strategy
3MR1.1, 3AF2.2
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Name Date
Multiply.
1. 7 3 = 2. 5 7 =
3. 6 7 = 4. 7 7 =
5. 7 8 = 6. 9 7 =
7. 4 7 = 8. 7 6 =
9. 7 10 = 10. 7 1 =
11. 7 0 = 12. 7 5 =
13. 7 4 = 14. 7 9 =
15. 8 7 = 16. 7 =35
17. 7 =14 18. 7 =49
Solve. Use thelook for patternstrategy. (Lesson 53)
19. Fred collected sports cards. He got the same number of newcards each week and sold the same number out of ones thathe had. Week 1, he had 10 cards and sold 2. Week 2, he got10 more and sold 2, giving him 16. Week 3, he got 10 moreand sold 2, giving him 24. How many cards did he have bythe end of Week 4?
20. After collecting more cards, Fred decided to put his cards inorder. He numbered all the cards related to baseballplayers 1. He numbered all the football cards 2. He numberedall the basketball cards 3. He has a total of 50 cards, with anequal number of number 2 and number 3 cards. He has20 number 1 cards. How many number 2 cards does he have?
54Homework Practice
Multiply by 7
3NS2.2
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Homework Practice
Multiply by 8
Multiply.
1. 8 3 = 2. 5 8 =3. 6 8 = 4. 7 8 =
5. 8 8 = 6. 9 8 =
7. 4 8 = 8. 8 6 =
9. 8 10 = 10. 8 1 =
11. 8 0 = 12. 8 5 =
13. 8 4 = 14. 8 9 =
15. 8 8 = 16. 7 =56
17. 8 =24 18. 8 =64
Multiply. (Lesson 54)
19. 7 5 = 20. 4 7 =
21. 10 7 = 22. 7 7 =
23. 7 8 = 24. 9 7 =
25. 2 7 = 26. 7 6 =
27. 7 10 = 28. 7 1 =
Solve.
29. Fred has collected a total of 80 cards. A display of Freds cards includes2 rows of football cards with 15 in each row. In front of the football cardsare 3 rows of baseball cards with 10 in each row. In front of the baseballcards are 4 rows of basketball cards. If the pattern continues, how manybasketball cards are in each of the 4 rows?
3NS2.2
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Problem-Solving Practice
Multiply by 9
3NS2.2
olve
1. Jose spends $9 on lunch eachday. How much does he spend forlunch in 2 days?
2. Carmens parrot eats 9 crackers aday. How many crackers will it eatin 4 days?
3. On Mr. Dugans farm, 9 cows canbe milked in an hour. Mr. Dugan
says that 45 cows will be milked in5 hours. Is he correct? Explain.
4. The So Rich cookie factory canbake 9 chocolate chip cookies
a minute. Can the factory fill anorder for 80 cookies in 9 minutes?Explain.
5. For the school talent contest,9 singers will perform for3 minutes each. Then 5 dancers
will perform for 4 minuteseach. There will be a 15-minuteintermission between the singingand dancing performances. If theshow starts at 2:00 P.M., at what
time will it end?
6. Ty works 9 hours a day and earns$6 an hour. Cal works 6 hours andday and earns $9 an hour. If theyboth work 5 days per week, whoearns more money?
Who works longer? Explain.
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Name Date61
Homework Practice
Relate Division to Subtraction
Divide. Use counters.
1. There are 24 cans of soda with 6 cans in each group. Howmany groups of cans of soda in all?
2. Jack has a bag with 10 marbles inside. He kept 2 and gavethe rest to his 4 friends. If he gives each friend the samenumber of marbles, how many will each friend get?
Find each missing number.
3. 10 =5 4. 12 =3
5. 16 =4 6. 36 =6
Divide. Use repeated subtraction on a number line or paperand pencil.
7. 12 2 = 8. 8 4 =9. 9 3 = 10. 15 5 =
Write the rule for each table. Then, complete the table.(Lesson 59)
11.Rule:
Input Output
1 9
27
6 54
9
12.Rule:
Input Output
3 21
35
7
9 63
3NS2.3, 3MR2.3
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Name Date64
Divide.
1. 8 2 = 2. 6 2 = 3. 10 2 =
4. 16 2 = 5. 20 2 = 6. 14 2 =
7. 12 2 = 8. 4 2 = 9. 18 2 =
Divide. Use repeated subtraction on a number line.
10. 2
12 11. 2
18
Divide. Write a related multiplication fact.
12. 16 2 = 13. 6 2 =
14. 20 2 = 15. 12 2 =
Solve. Use the choose an operationstrategy. (Lesson 63)
16. Liz has a fish tank with a total of 22 fish. She has an equalnumber of solid goldfish and spotted goldfish. How many
does she have of each kind of fish?
17.The back of the van has 2 seats that can seat 6 people. Thesame number of people can sit on each seat. How manypeople can sit on each seat?
Homework Practice
Divide by 2
3NS2.3, 3MR2.3
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Name Date
Homework Practice
Divide by 5
Divide.
1. 30 5 = 2. 15 5 = 3. 40 5 =
4. 25 5 = 5. 10 5 = 6. 50 5 =
7. 35 5 = 8. 5 5 = 9. 45 5 =
ALGEBRAComplete each table.
10. 11.
Solve.
12. Allie wants to make iced tea. The directions say adding10 teaspoons of tea mix to 5 cups of water will serve5 people. She plans to use 1 cup of water. How manyteaspoons of tea mix should she use?
Divide. (Lesson 64)
13. 30 2 14. 18 2 15. 40 2
16. 26 2 17. 10 2 18. 14 2
OutputInput
3
6
9
15
20
30
45
Rule:
OutputInput
20
30
4
5
7
Rule:
3NS2.3, 3MR2.365
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Name Date65
Problem-Solving Practice
Divide by 5
3NS2.3, 3MR2.3
olve.
1. Antonio scored 15 points on5 math questions on a test. Eachquestion was worth the samenumber of points. How manypoints did he score for eachquestion ?
points
2. School lunch costs $5. Marcus has$10. For how many days can hebuy lunch?
days
3. Erica works at a pet store. It takesher five minutes to put food and
water in each hamster cage. Howmany cages can she finish in35 minutes ?
cages
4. Joel is in charge of feeding thebirds in a pet store. Each bird cagegets 5 hanging seed strings. Joelused 45 seed strings to feed all ofthe birds. How many cages of birdsare in the store ?
cages
olve. Show your work.
5. Every Saturday, Mr. and Mrs.Thompson and their 3 childreneach have a hamburger for lunch.
There are 40 hamburger patties intheir freezer. In how many weeks
will they finish the last of thepatties ?
6. Today 25 girls and 20 boys rodetheir bikes to school. Each bikerack at school holds 5 bikes. Howmany bike racks were filled ?
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Name Date
Grade 3 102 Chapter 6
Copyright
Macmillan/McGraw-Hill,adivisionofTheMcGraw-HillCompanies,Inc.
67Problem-Solving Practice
Divide by 10
3NS2.3, 3MR2.3
Solve.
1. There are 30 desks with 10 desksin each row. How many rows ofdesks are there?
2. Carl owns 20 video games. Hestores them in boxes. There are10 video games in each box. Howmany boxes are there?
3. Mary kept a record for 90 days
to see how many times she atefish for dinner. She ate fish every10 days. How many times did shehave fish for dinner in the last90 days?
4. Annie bought a bag of 80 mini-
carrots. She eats 5 carrots each dayfor lunch and eats another5 carrots as a snack at night. Inhow many days will the bag ofcarrots be empty?
5. Morgan has 90 cents in her
pocket and another 80 cents inher drawer. All of the change isin dimes. How many dimes doesMorgan have in all?
6. Ricky spent $90 at the supermarket.
He bought $30 worth of fruit. Therest of the money was spent onsteaks. If he bought 10 steaks andeach cost the same amount, whatwas the price of each steak?
5. Kayla has a box of 80 family
photos and a photo album with10 pages. How many photos mustshe fit onto each page of thealbum to keep all of the familyphotos in one album?
8. Bill has a collection of 60 books
that he wants to donate to thelibrary. He wants to put an equalnumber of books in each box.Write an equation to show how hecould divide the books into equalgroups.
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Name Date
Grade 3 107 Chapter 7
Copyright
Macmillan
/McGraw-Hill,adivisionofTheMcGraw-HillCompanies,
Inc.
72Homework Practice
Divide by 4
3NS2.3
Divide.
1. 16 4 2. 32 4
3. 28 4 4. 8 4
5. 36 4 6. 12 4
7. 40 4 8. 14 2
ALGEBRA Find each missing number.
9. 27 =9 10. 3 =10
11. 20 =5 12. 24 =4
ALGEBRA Copy and complete the table.
13.Rule: Divide by 4.
Input
Output
8
3
16 20
87
Divide. (Lesson 71)
14. 27 3 15. 30 3
16. 6 3 17. 12 3
18. 9 3 19. 15 3
20. 24 8 21. 18 6
22. 21 3 23. 33 3
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Name Date
Problem-Solving Practice
Divide by 4
723NS2.3
olve.
1. Each minute, 4 gallons of waterflow into the tub. There are now8 gallons of water in the tub. Howmany minutes did that take?
minutes
3. Eric pumps the front tire of his biketo 32 pounds. Each push of thepump puts 4 pounds of air intothe tire. How many times must Ericpush the pump to fill the tire?
times
5. Ollie lent $24 in equal amounts to4 of his friends. Melissa lent $18 inequal amounts to 3 of her friends.Who lent each friend more money?Explain.
2. The Finos have a carton of 12 eggs.If the family eats four eggs a day,how long will they have eggs toeat?
days
4. A boat rental shop rentspaddleboats that can hold up to4 riders. The shop has enoughpaddle boats for up to 28 people.How many paddleboats does theshop have?
paddleboats
6. A grocery store shelf can hold 4large boxes of laundry detergent.
The store clerk put 25 boxes oflaundry on the shelves. What is theleast number of shelves needed forthe display? Explain.
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Name Date
Solve.
1. Mr. Frank is planning a parade.First, 36 musicians will marchand play. Second, 32 soldiers willmarch in uniform; third, 28 horses
will join. Fourth, will be clowns.How many clowns will walk in theparade?
3. Mr. Frank is collecting money torent the parade floats that will cost$40. He has $24 so far. How long
will it take to have enough moneyif he collect $4 a week?
5. There are 28 horses in the parade.
They are walking in rows, with 4horses in each row. How manyrows of horses are in the parade?
2. Every time Mr. Frank buys 4 potsof flowers for the float, the floweshop will give him 1 pot free.After 4 weeks, he had 50 pots offlowers. How many pots did he gfree?
4. There are a total of 30 floats forthe parade. The parade will lastabout 1 hour. Mr. Frank wants thfloats to travel at an equal pacethroughout the parade. How manfloats should travel through theparade in 30 minutes?
6. For every float, Mr. Frank wants6 people. If there are 20 floats,how many people will Mr. Frankneed?
Homework Practice
Problem-Solving Strategy
733MR1.1, 3AF2.2
Divide. (Lesson 72)
7. 24 4 8. 4 4
9. 28 4 10. 0 4
11. 36 4 12. 16 4
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74
Divide.
1. 12 6 2. 18 6
3. 28 7 4. 36 6
5. 49 7 6. 14 7
7. 60 6 8. 21 7
9. 42
6 10. 63
9
ALGEBRA Complete the table.
11.Rule: Divide by 6.
Input
Output
36
2 10
24
7
12. Rule: Divide by 7.
Input
Output 7 8
35
6
63
Solve. Use the make a table strategy. (Lesson 73)
3NS2.3Homework Practice
Divide by 6 and 7
13. Rides at an amusement park cost$4 per person or $24 for every 6people. If a group of 21 people goto the amusement park, how muchwill they pay?
14. Renee is saving her money to buya T-shirt that costs $16. She saves$3 the first week, $5 the secondweek, $2 the third week, and $3the fourth week. How much moremoney will she need to save?
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Problem-Solving Practice
Divide by 6 and 7
olve.
1. Len will put 18 goldfish into6 fishbowls. Each bowl will havethe same number of fish. Howmany goldfish will go in eachbowl?
goldfish
3. There are 54 cards in a card game.All of the cards are dealt out to theplayers. Each player gets 6 cards.How many players are inthe game?
players
5. Mother is making 6 goody bags forLeroys party. She will put 24 applefruit rolls and 24 cherry fruit rollsinto the bags. If she puts the samenumber in each bag, how manyfruit rolls will be in each goodybag?
fruit rolls
2. There are 14 customers standing in7 checkout lines. Each line has thesame number of customers. Howmany customers are in each line?
customers
4. The winning team scored49 points. There were 7 players onthe team. If each player scored thesame number of points, how manypoints did each player score?
points
6. There are 7 cupcakes for the party.Each cupcake has 1 candle foreach year of the birthday boysage. There is also an extra candleon each cupcake for good luck.If 49 candles were used on thecupcakes, how old is the birthdayboy? Explain.
3NS2.3
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Problem-Solving Practice
Divide by 8 and 9
3NS2.3
olve.
1. A group of 8 children go to the fair.They share 16 balloons equally.How many balloons does eachchild get?
balloons
3. Marta bought 48 pieces ofsilverware. She puts them in a tray
with 8 sections. Each section hasthe same number of pieces. Howmany pieces of silverware are ineach section of the tray?
pieces
5. Ty and Shaheed each have36 rocks. They put their rockstogether in a box. The box has9 sections. If they put the samenumber of rocks in each section,how many rocks are in each?Explain.
2. A group of 9 people go on 27 ridesat the fair. Each one goes on thesame number of rides. How manyrides does each person go on?
rides
4. Mina sets the dining room table.Every night she puts out 45 dishesfor 9 places at the table. Howmany dishes are set at each place?
pieces
6. A mural in the aquarium showsoctopuses and starfish. Eachstarfish has 5 arms. Each octopushas 8 legs. There are 20 starfisharms in all. The combined numberof starfish arms and octopus legsis 60. How many octopuses are inthe mural? Explain.
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Find each unit cost.
1. 3 markers for $9
2. 5 books for $40
3. 1 sandwich for $3
Find the unit cost to determine the better buy.
4. 5 posters for $25
7 posters for $28
5. 9 pens for $18
5 pens for $15
Solve.
6. Sally has $10. Ice cream treats are 5 for $5. She buys3 ice cream treats. How much change will she receive?
Divide. (Lesson 75)
7. 18 9 8. 54 9
9. 63 9 10. 36 4
11. 27 9 12. 45 9
13. 99 9 14. 72 8
15. 81 9 16. 40 5
17. 56 7 18. 64 8
Homework Practice
Find Unit Cost
3NS2.7
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olve by finding each unit cost.
1. Dave is going camping with his family. Sleeping bags areon sale for 3 for $60. He has to buy 3 to get the sale price.One sleeping bag costs $25. Dave needs 5 sleeping bags.Would Dave save money if he got 6 sleeping bags?
2. Dave has to buy 1 flashlight for each of the 5 members of his
family. He spent $50. How much did each flashlight cost?
3. Dave needs to find the best buy on bottled water. He canget a case of 48 bottles for $24, or he can get 5 cases of10 bottles for $3 a case. Which is the better buy?
4. Dave bought 6 cans of soup for $3. How much would it costfor 1 can?
5. The campground charges $210 a week. How much does1 day cost?
6. Daves family spent $27 on gasoline to drive to the camp-ground. They used 9 gallons of gasoline. How much did gascost per gallon?
Problem-Solving Practice
Find Unit Cost
3NS2.7
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/McGraw-Hill,adivisionofTheMcGraw-HillCompan
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Inc.
Solve. Use any strategy.
1. Cindy and Pam bought 24 roses for their mother. Roses cost$12 for 12. How much did they spend altogether?
2. Cindy decided to grow her own roses. One rose bush cost$20 and produced 10 roses. Since Cindy paid $12 for 12roses the year before, did Cindy save money this year bygrowing her own roses? Explain.
3. ALGEBRA What is the next number in the pattern?72, 75, 78, 81,
4. Sue and her brother Bill were given a case of 30 juice drinks.Sue drinks 2 a day and Bill drinks 1 a day. How long will thecase of drinks last?
Find each unit cost . (Lesson 76)
5. 4 balls for $12
6. 5 notebooks for $5
7. 2 paint sets for $6
Find the unit cost to determine the better buy.
8. 10 ice pops for $10
5 ice pops for $10
9. 6 books for $18
3 books for $12
Homework Practice
Problem-Solving Investigation
3MR1.177
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Write an expression and create an equationfor each situation.
1. The Lopez family of 4 went camping 5 years in a row. Everyyear they brought 2 different guests. How many guests didthey bring all together?
2. The Lopez family has 3 tents, and each tent has room for3 people. How many people do they have room for alltogether?
3. There are 20 campers in each section of the campground,with an equal number in each section. There are 4 sections.
How many campers are in each section?
4. Over the 5 years that the Lopez family went camping, theymade 8 new friends each year. How many new friends didthey make altogether?
5. Thirty-two of the Lopez familys new friends came from 4different states, with the same number from each state.How many came from each of the states?
Problem-Solving Practice
Algebra: Expressions and Equations
783AF1.1, 3AF1.2
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Write each phrase as an expression. Then solve.
1. 56 students divided equallyamong 7 tables.
2. the totalof 7 classes of 10 students
3. 65 less than75
4. 25more than50
5. differencebetween 34 and 30
6. run2 timesa day for 30 minutes each time
7. theproductof 9 and 8
8. 4 boxeshave6 books
Write two word phrases for each expression.
9. 25 5
10. 7 8
Choose one of the symbols +, -, , or to make theequation true. (Lesson 78)
11. 65 5 =10 6
12. 64 8 =8 1
Find a number to make the equation true.
13. 6 4 = 2
14. 9 9 =50 +
15. 8 6 = 9
16. 7 9 =50 +
Homework Practice
Algebra: Translate Words to Expressions
3AF1.1
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Write an expression for each situation. Then solve.
1. Eva has $10 more than Trina. Trina has saved $2 each day fora week. How much money does Eva have?
2. Berto is 10 years older than Suna. Suna is 15 years old. Howold is Berto?
3. Molly will be on vacation at the beach with Ana for 8 days.Tino will join them for half of the time that they are at thebeach. How long will Tino stay at the beach?
4. At 4:00 P.M. in the afternoon, there were only 4 bikes left in
the bike rack at school. At noon, there were 10 times thatmany bikes in the rack. How many bikes were in the rack atnoon?
5. Each package of chicken soup mix serves 6 people. Rubywants to serve 36 people chicken soup. How many packages
of soup should she buy?
6. Mrs. Perez bought 27 balloons. If 9 children come to hersons birthday party and she divides the balloons equally,how many balloons will each child bring home?
Problem-Solving Practice
Algebra: Translate Words to Expressions
793AF1.1
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Inc.
Use an inch ruler. Draw a line for each length.
3MG1.181
Homework Practice
Length to the Nearest Half Inch
1. 3 and 1__2inches
2. 1__2inch
3. 5 inches
4. Kevins ruler is broken and starts at 1 3__4inches. If hewants to draw a line that is 2 inches long, at what point willhe stop his pencil?
Using what you know about measurement, answer the question.
5. Which is the best choice for measuring, using paper clips orusing a ruler? Explain.
Use knowledge of expressions to answer the question.
6. You know that Melinda has $5. Janet has $10 more thanMelinda. What doesmoremean? How much money doesJanet have?
Write an expression.
7. Betty volunteered at the pledge drive for 13 hours. Herbrother volunteered for half as long.
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3MG1.1
Choose the most appropriate to unit measure each length.Choose from inch, foot, yard, or mile.
1. width of a pizza box
2. length of a football field
3. height of a telephone pole
Choose the best estimate.
4. the length of a table 10 feet or 10 miles
5. the height of a book 12 inches or 12 miles
6. New York to Chicago approximately 1,000 miles orapproximately 1,000 feet
82Homework Practice
Customary Units of Length
Convert.
7. 36 inches = feet 8.3 feet = yard(s)
9. 9 feet = inches 10.3 yards = feet
Use an inch ruler to answer the to answer the followingquestions. (Lesson 81)
11. Is the width of a crayon closer to an inch or a half inch?
Draw a line for each length.
12. 2 inches
13. 11
__
2
inches
half inch
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3MG1.1Problem-Solving Practice
Customary Units of Length
olve.
1. How many inches long is thepencil shown in the picture?
2. What measuring tool would youuse to measure the length of yourfoot?
3. Kira went on a hiking trip. She
hiked for 4 hours in one day. Whatunit of measurement would youuse to tell the distance she walkedin 4 hours?
4. Hector wants to measure the
length of his dogs tail. What tool ishe most likely to use?
What unit of measure?
5. Carrie wants to make a paper coverfor her math book. Explain how
you would measure a book to findout how much paper to use.
6. There will be a new floor in thegym. The principal had to find thelength and width of the gym. Themeasurements were written onthe order form, but the units ofmeasure were accidentally erased.
The order form said the gym floor
is 15 by 20 . Whatunits of measure were most likelyerased?
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/McGraw-Hill,adivisionofTheMcGraw-HillCompanies,
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83
Solve. Use the work backwardstrategy.
3MG1.2Homework Practice
Problem-Solving Strategy
1. Mr. Lawrence has 20 students now. At the beginning of theweek he had double the amount plus 1. How many studentsdid he have at the beginning of the week?
2. Janet ate lunch for one hour. Then, she cleaned up her roomfor 2 hours before leaving to visit a friend at 4 P.M. What time
did she start her lunch?
3. Juan walked a total of 15 miles this week. He walked thesame distance on Monday as he did on Tuesday. He walked7 miles on Wednesday and 1 mile on both Thursday andFriday. How many miles did he walk on Tuesday?
Choose the best unit of measurement. (Lesson 82)
4. To measure the length across a gym.
5. To measure the height of a drinking glass.
Convert.
6. 4 feet = inches 7.1 yard = feet
8. 36 inches = feet 9.6 feet = yards
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Choose customary units of capacity.
84Homework Practice
Customary Units of Capacity
3MG1.1
1. What unit would you use tomeasure the capacity of a glassof milk?
2. What would you use to measure jug of orange juice?
Convert.
3. 5 pints = cups 5. 2 quarts = cups
7. 1 gallon = cups
4. 4 gallons=
quarts 6. 3 gallons = quarts
8. 2 pints = cups
Solve. Use the work backwardstrategy. (Lesson 83)
9. Sarah went to a show. The performer put a scarf into a hat.When he pulled it out it was twice as long. When he did itagain the scarf was 5 inches shorter and measured a total of17 inches. How long was the scarf before the trick began?
10. After a pattern repeats itself 5 times, there are 15 circles,5 squares, and 10 hearts. How many of each shape are therein the original pattern? Can we tell what the pattern is?
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Use any strategy to solve. Tell what strategy you used.
1. The class has 25 students. Each student has 4 pencils at theirdesks. How many pencils are there altogether?
2. What numbers are missing in the pattern below?2, 4, __, 16, ____, 64, ____
3. Amy ran 8 blocks to get to her friends house. The way homewas half as long. How many blocks was the total trip?
4. Marcus had a birthday party. He invited 6 friends from school,5 from his soccer team, and 12 from other places. How many
were invited in all?
Answer these questions about customary units of capacity. (Lesson 84)
Homework Practice
Problem-Solving Investigation
3NS2.8
5. Name three items in a grocerystore that are measured bycapacity.
Convert.
7. 16 quarts = gallons
6. Kenny has 16 cups of milk. Howmany gallons does have?
8. 1 pint = cups
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Predict whether the following items weighless than onepound, about one pound, ormore than one pound.
1. a bike 2.a pencil
3. a soccer ball
Convert.
4. How many ounces are in 4 pounds?
5. How many pounds are 32 ounces?
Choose the better estimate.
6. An empty plastic jug 4 oz or 4 lb
7. A pair of socks 2 oz or 1 pound
Solve.
86Homework Practice
Customary Units of Weight
3MG1.1
8. What is the total weight of a bag ofpotatoes that weighs 5 pounds anda box of rice that weighs 32 ounces?
9. One bag of oranges weighs 3 pounand 4 ounces. A bag of apples weig64 ounces. Which one is heavier?
Use any strategy to solve. (Lesson 85)
10. How many quart jugs of water willit take to fill a gallon jug?
11.Jimmy and Karen went to buy somlunch. Jimmy spent $3.50 and Karspent $4.25. If they paid $10.00,how much change did they receiv
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Problem-Solving Practice
Customary Units of Weight
olve.
1. Jake bought a bag of apples. Doesit weigh about 3 pounds or3 ounces?
2. A loaf of bread weighs about1 pound. About how manyounces does it weigh?
3. Peggy told her mom that the newpuppy weighs, about 3. Shedidnt give the unit. What unit of
weight should she have said afterthe number 3?
4. A customer weighs an orange on thescale in the fruit store. The orange
weighs 5 ounces. The customer doesnot want to buy more than 1 poundof oranges. What is the greatestnumber of oranges the customer canbuy? Explain.
5. Bart is putting groceries in a paperbag. He bought a loaf of bread, acupcake, a bag of 10 apples, a bagof flour, and a bag of chips. Heputs 3 items in one bag. Now thebag weighs about 2 pounds. Which3 items did he probably put in the
bag?
6. A bag of white potatoes weighs2 pounds. A bag of sweet potatoes
weighs 16 ounces. Tell how youcould rearrange the potatoes sothat you have two bags of potatoesthat weigh the same.
3MG1.1
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Homework Practice
Convert Units of Time
Convert.
1. 4 hours = minutes
3. 1__2hour = minutes
5. 180 minutes = hours
Solve.
7. Janet plans to meet her friend tosee a movie at 6:45. It will take hera quarter of an hour to get ready toleave her house and 3 quarters ofan hour to get to the theatre. Whattime must Janet start getting readyin order to be on time to meet herfriend?
2. 360 minutes = hours
4. 3 quarter hours = minute
6. 12 hours = minutes
8. Juan wants to have dinner readyby 6:30. It takes 30 minutes for tenchilada casserole to be ready. Halso wants to serve chicken wing
which will take 1 hour 15 minuteWhat times must he put thechicken wings and the casserole the oven in order to have all the
food ready on time?
3MG1.4
Use customary units of weight to solve the problems. (Lesson 86)
9. How many ounces are in a pound?
11. How many ounces are in 1 pound
7 ounces?
10. If 1 soccer ball weighs about onepound and 1 golf ball weighsabout 1 ounce, how many golfballs =1 soccer ball?
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Grade 3 137 Chapter 9
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/McGraw-Hill,adivisionofTheMcGraw-HillCompan
ies,
Inc.
91
1. List 4 things you may measure in millimeters:
Choose the most appropriate unit to measure each length.Write millimeter, centimeter, meter, or kilometer.
2. width of a pencil 5.height of a lamp
3. thickness of a banana peel 6.distance to school
4. thickness of a pillow 7.length of a soccer field
Choose the best estimate.
8. CD case 9.computer mouse 10.TV monitor
12 mm or 12 cm 13 mm or 13 cm 70 cm or 70 m
Convert the units.
11. 3 hours = minutes 12. minutes =4 quarter hours
13. hours = 120 minutes 14. minutes =1 hour and half
15. minutes =1 quarter hour 16.4 hours = minutes
0 10 1
Homework Practice
Metric Units of Length
3MG1.1
1 cm
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Problem-Solving Practice
Metric Units of Length
olve.
1. Which is about 1 centimeter long:a fingernail or a pencil?
2. Which metric unit would you useto measure the distance betweenthe front of the classroom and theback of the classroom?
3MG1.1
3. A tomato plant is a little less than
1 yard in height. How can youdescribe this length in metric units?
4. Estimate the length of the crayon
in centimeters.
about centimeters
red
Now use a centimeter ruler tomeasure the length of the crayon
to the nearest centimeter.
centimeters
5. Gail and Eric estimated the lengthof a screwdriver. Eric estimatedabout 11 cm. Gail said about10 cm. They used a ruler tomeasure it, and found it wasexactly 10.8 cm. Who had a betterestimate? Why?
6. Estimate your height to the nearestmeter.
About meters
Now use a metric ruler to checkyour estimate. What is your height?
meters
Was your estimate close?
Explain.
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1. Dolores bought some new pillowsfor her living room. She boughttwice as many green pillows asblue pillows, and one less redpillow than green pillows. Shebought 9 pillows altogether. Howmany pillows of each color did shebuy?
2. Pam and Casey swim every day.Pam swims twice as far as Casey,but they always finish at the samtime. If they both begin at 8 A.M.,and Casey swims 500 meters, homany meters does Pam swim?
92Homework Practice
Problem-Solving Strategy
3MR1.1
Solve. Use theguess and checkstrategy.
Write the number that makes each sentence true.(Lesson 91)
5. 100 cm = m 6.100 mm = cm
7. 5 m = cm 8.1,000 cm = m
9. 3 cm = mm 10.30 cm = dm
11. m = 400 cm 12. mm = 20 cm
3. Arthur reads every day. Onweekdays he reads at least30 minutes a day. On the
weekends, he reads twice as long.About how long does he readeach week?
4. Cecilia was burning a new CD forfriend. The CD could record up to60 minutes. How many 3- or4- minute songs could Cecilia buon to the CD?
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Homework Practice
Metric Units of Capacity
Choose the most appropriate unit to measure each capacity.Writemilliliterorliter.
1. bottle of soda 2.water in a pool
3. dressing on salad 4.cream in coffee
5. hot chocolate in a mug 6.water in a birdbath
Write the number that makes each sentence true.
7. mL =4 L 8. L =3,000 mL 9. mL =8 L
10. mL =15 L 11.11 L = mL 12.27 L = mL
liter
3MG1.1
13. Hugo made some cupcakes. Heused 10 mL of icing for eachcupcake. How many mL will he useif he ices 24 cupcakes?
14. Lina is making soup for her familIf she makes 3 L of soup andneeds to fill 6 bowls that hold400 mL, will she have enough
soup?
Solve. Use theguess and checkstrategy. (Lesson 92)
15. Mirna is making muffins for the
bake sale. One batch is blueberryand one batch is banana nut. The
third batch is twice as big as theblueberry and banana nut batch. IfMirna made 96 muffins, how manymuffins were in the blueberry andbanana nut batches?
16. Dan watched soccer practice for a
hour on Tuesday. Wednesday andThursday he watched twice as lo
and on Friday, he watched an holonger than he did the day beforeHow much time did Dan spend
watching soccer practice?
93
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Problem-Solving Practice
Metric Units of Capacity
olve.
1. Tanya has a cold. What metric unitof measure should her mother useto measure the amount of liquidcold medicine Tanya should take?
3. Lisa bought a liter of water. She
drank 250 milliliters. How muchwater is left in the bottle?
5. Maurice used a glass that held250 milliliters of liquid to fill a2-liter bottle. How many times did
he have to refill and pour thewater from the glass to fill thebottle? Explain.
2. Circle the best estimate for each. Bottle cap: 40 L 40 mL Bucket: 7 L 7 mL Mug: 480 L 480 mL
List the containers in order fromleast to greatest capacity.
4. The chef put 2 teaspoons of vanillaextract into a cake recipe. Abouthow much vanilla extract is this,2 mL or 2 L?
6. Below is Dena's recipe forfruit punch. Write the missingmetric units of capacity for eachingredient.
Dena's Fruit Punch
Frozen orange juice: 2
Pineapple juice: 360Apple juice: 1
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1. Leo was building a fence. Thefence was 63 meters long. If Leoplaced a post every 9 meters, howmany posts would he need?
3. Benito was painting some rooms in
his house. Each room used 1 literof paint, but his living room used2 liters. If Benito paints 6 rooms,how many liters of paint did heuse?
2. Ciana baked a batch of cookies.Susana ate 4 cookies, Dimas ate7 cookies, Pedro ate 6 cookies anCiana ate 3. There were 4 cookieleft over. How many cookies didCiana bake?
4. Olivia picked 2 1_
2kilograms of
cherries. She divided the cherriesevenly among 10 small baskets.How much did each basket hold?
94Homework Practice
Problem-Solving Investigation
Compare. Use , or =.(Lesson 93)
5. 4 L 4,000 mL 6. 500 mL 1 L
7. 10,000 mL 100 L 8. 3,500 L 3,500 mL
3MR2.3, 3MR2.8
Use any strategy to solve.
9. At Carmens birthday party, each
child drank at least 450 mL ofpunch. Carmen invited 12 of herclosest friends. If Carmens mommade 5 L of punch, was thereenough? Explain your answer.
10. Marcos was filling his small pool
in the backyard. The hose wasnot working and he had to use abucket to fill his pool. The poolheld 600 liters of water. His buckheld 5 liters. How many times
would he have to fill his bucket iorder to fill the pool?
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Homework Practice
Metric Units of Mass
1. List 4 things you may measure in grams:
2. List 4 things you may measure in kilograms:
Choose the most appropriate unit to measure each mass.
Writegramorkilogram.
3. one strawberry 4.a bag of flour 5.a bag of concrete
6. cocoa mix 7. rubber bands 8.a bag of dog food
Use any strategy to solve. (Lesson 94)
9. Cheryl is stringing beads for bracelets. She can fit 35 beadson each length of string. If she has 315 beads, how manybracelets can she make?
10.The school hallway is 50 meters. How many times would youhave to walk up and down the hall to walk a full kilometer?
3MG1.1
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Problem-Solving Practice
Metric Units of Mass
olve.
1. List the items below in order fromleast to greatest mass.
sheet of paperbox of crayonsfeather
3. A paper clip has a mass of 1 gram.A box of paper clips has a mass of1 kilogram. How many paper clipsare in the box?
5. Wendy estimates that 5 of her
erasers have the same mass asher box of pencils. Each of hererasers has a mass of 150 grams.
The box of pencils has a mass of1 kilogram. Is her estimate correct?Explain.
2. What metric unit of mass wouldyou use to measure the mass of aspoon?
4. A liter of water has a mass ofabout 1 kilogram. Matt carries a
liter of water and 750 grams ofgranola bars in his lunch box. Doesthe water or box of granola barshave a greater mass? Explain.