Date

Problem-Solving Practice Place Value Through Billions

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Solve. 1. The Nile River is 4,184 miles long. Write this number in expanded form.

2. According to the 2000 census, 8 million, 8 thousand, 278 people live in New York City. Write this number in standard form.

3. The distance around Earth is 24,902 miles. How do you read this number?

4. The distance around the planet Jupiter is 1,413,068,600 feet. Name the place and write the value of the underlined digit.

5. The population of Yorktown is 35,878. The population of Burlington is 4,530 less than the population of Yorktown. What is the total population of the two towns?

6. The population of California in 2001 was one hundred thousand more than 34,401,130. What was the population of California?

Grade 5

11

Chapter 1

Chapter Resources

1–1

Name

1–2

Name

Date

Problem-Solving Practice Compare Whole Numbers 2. John Kennedy became president when he was 43 years old. George W. Bush became president when he was 54 years old. Who was older when he became president?

3. There were about 22,859,968 people living in Texas in 2005. There were about 636,677 people living in North Dakota in 2005. Which state had fewer people in 2005?

4. Texas has 254 counties. California has 58 counties. Which state has more counties?

5. Texas became a state in 1845. South Carolina became a state in 1788. Which became a state later?

6. The land area of Texas is 261,797 square miles. The land area of Alaska is 571,951 square miles. Which state has more land area?

7. Texas has 115 state parks. Washington has 120 state parks. Which state has more state parks?

8. Brewster can run one mile in 9 minutes. Alex can run one mile in 8 minutes. Who can run faster?

Grade 5

16

Chapter 1

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

1. Kevin is 60 inches tall. His younger brother, Mike, is 62 inches tall. Who is taller?

1–4

Name

Date

Problem-Solving Practice Represent Decimals

Solve. 2. Aimee needs 0.25 cup of vegetable oil to make muffins. Write this decimal as a fraction.

3. Trudy is making a picture frame and needs nails that measure 0.375 of an inch. At the hardware store, nails are measured in fractions of an inch: 25 125 375 _ inch, _ inch, and _ inch. 1,000 1,000 100 Which of these nails should she buy?

4. At Richardson Elementary, 0.35 of the buses were late because of a snowstorm. Write the decimal as a fraction.

5. Neil needs several pieces of wood 6 measuring _ foot each. The lumber 10 store will cut pieces only in increments of 0.25 foot: 0.25 foot, 0.5 foot, 0.75 foot, and so on. Neil agrees to have the lumber store cut the pieces, but he will have to trim some off once he gets home. He wants to trim the least amount off each piece. Which measurement should the lumber store use to cut the pieces?

6. A vitamin contains sixty-two thousandths gram of vitamin E and 0.038 gram of vitamin A. Does the vitamin contain at least twice the amount of vitamin E than vitamin A?

7. Of the books at the Public Library, _ 100 are for young readers. What decimal names this fraction? 25

Grade 5

8. Kathleen has recorded 0.4 of a book on to a cassette tape. What fraction of the book has she recorded?

26

Chapter 1

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

1. One cup is equal to 0.5 pint. Write this decimal as a fraction.

1–5

Name

Date

Problem-Solving Practice Chapter Resources

Place Value Through Thousandths For Exercises 1–4, use the table. The table shows lifetime batting averages for leading baseball players. Lifetime Batting Averages for Leading Players Player

Team

Batting Average

Tony Gwynn, Jr.

Milwaukee Brewers

0.294

Derek Jeter

New York Yankees

0.341

Ichiro Suzuki

Seattle Mariners

0.319

Mike Piazza

San Diego Padres

0.277

Chipper Jones

Atlanta Braves

0.318

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Source: mlb.com

1. Write Mike Piazza’s batting average in word form.

2. Which digit is in the thousandths place of each player’s batting average?

3. What is the batting average for the New York Yankees player in expanded form?

4. Which player’s average has a 4 in the hundredths place?

5. When measuring board footage for some exotic woods, a carpenter must use 1.25 for thickness rather than 1 in her calculations. Write 1.25 in expanded form.

6. The summer camp Jason attends is exactly four hundred twenty-three and four tenths of a mile from his home. Write four hundred twenty-three and four tenths in standard form.

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Chapter 1

1–6

Name

Date

Problem-Solving Practice Compare Decimals

Solve. 2. George was weighed at the doctor’s office. The scale read 67.20 lb, but the doctor wrote 67.2 lb on George’s chart. Did the doctor make a mistake?

3. Two of the highest mountains in the world are Nanga Parbat (Pakistan), and Dhaulagiri (Nepal). They measure 26,660 ft and 26,810 ft, respectively. Which of the two mountains is the lower?

4. Write all possible missing digits that make the sentence 49.76 > 49._6 true.

5. The two fastest times in a race were 9.789 seconds and 9.76 seconds. Which is the better time?

6. The two fastest times in the past 20 years for the girls’ 200-meter run at Clarksville Elementary School are 27.97 seconds and 27.93 seconds. At yesterday’s track meet, Claire ran 27.99 seconds. Was her time better than either of the two fastest?

7. Two divers have entered a competition. The scores are 9.75 and 9.79. What is the better score?

8. The times for the first two runners of the 100-yard dash are 9.85 seconds and 9.62 seconds. What is the winning time?

Grade 5

36

Chapter 1

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

1. Two newborn babies are weighed at the hospital. The baby girl weighs 7.25 lb, and the baby boy weighs 7.3 lb. Which baby weighs more?

Date

Problem-Solving Practice Order Whole Numbers and Decimals

Solve. 2. Two boxes to be mailed are weighed at the post office. Box A weighs 8.25 pounds, and the box B weighs 8.2 pounds. Which box weighs more?

1. The table shows the heights of four students. Arrange the students in order from shortest to tallest.

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Student Heights Name Height (in.) Kim 56.03 Alexa 56.3 Roy 56.14 Tom 57.1

3. Three airplanes flew from New York to Los Angeles. Fast Jet flew at an altitude of 38,500 feet. Sky High flew at 37,950 feet. Air Jet flew at 38,420 feet. Which jet flew at the lowest altitude?

4. The four fastest times in a race were 27.08 seconds, 27.88 seconds, 27.8 seconds, and 26.78 seconds. Order these times from slowest to fastest.

5. Misha’s cat was weighed at the vet’s office. The scale read 9.120 pounds, but the doctor wrote 9.12 pounds on the chart. Did the doctor make a mistake?

6. Write all possible missing digits that make the sentence 51.38 > 51. 8 true.

7. The three fastest times in the past 20 years for the girls’ 400-meter run at Clarksville Elementary School are 59.65 seconds, 59.76 seconds, and 61.02 seconds. At yesterday’s track meet, Claire ran 59.93 seconds and Leslie ran 61.26 seconds. Should either girl’s time be included in the list of top 3 times?

8. Lauren spent $3.26 for lunch on Tuesday. She spent $1.98 on Wednesday and $2.74 on Thursday. Order the prices of her lunches from greatest to least.

Grade 5

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Chapter 1

Chapter Resources

1–7

Name

2–1

Name

Date

Problem-Solving Practice Chapter Resources

Round Whole Numbers and Decimals For Exercises 1 and 2, use the table. The table shows the number of people in the United States per square mile. U.S. Population Year

Number of people per square mile of land area

1970

57.4

1980

64.0

1990

70.3

2000

79.6

1. Round the decimal for the number of people per square mile in 2000 to the nearest tens. Then round it to the nearest ones.

2. Round the decimal for the number of people per square mile in 1970 to the nearest tens. Then round it to the nearest ones.

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

For Exercises 3–7, use the following information. The Everglades National Park gets an average of 59.10 inches of rainfall a year. It had 1.181351 million visitors in 2004, and its budget for 2003 was $13.958 million. 3. How much rain does the Everglades 4. How many visitors did the park have National Park receive each year rounded to the nearest tenth of a rounded to the nearest inch? million? 5. How many visitors did the park have 6. What is the budget to the nearest rounded to the nearest ten-thousandth million? of a million? 7. What is the budget to the nearest 8. Mike, Jake, and Aaron are buying snowboards. Mike is getting his hundredth of a million? snowboard on sale for $219.49. Jake’s costs $279.97. Aaron’s costs $234.95. Round each snowboard price to the nearest dollar.

Grade 5

11

Chapter 2

2–2

Name

Date

Problem-Solving Practice Estimate Sums and Differences

Solve. 1. The road Sheryl takes to school is 29.76 mi long. What is this distance to the nearest whole mile?

2. Mohammed walked 8.7 blocks to school and the same distance home. Estimate the number of blocks he walked.

4. Bethany made purchases of $10.34 and $27.60 at the store. Estimate what she spent to the nearest dollar.

5. Yat is trying to win a contest by guessing the number of marbles in a jar. Looking at the jar, he estimates that each layer contains 17 marbles, and that there are 12 layers in the jar. Using addition, estimate the number of marbles in the jar to the nearest ten.

6. For his lawn-mowing service, Gaspar has three gasoline cans. One can contains 5.17 gal of gasoline; one contains 4.96 gal; and the third, 4.23 gal. To the nearest whole gallon, estimate the total amount of gasoline he has.

7. Juanita and Jim each think of a number. Juanita’s number is 8 more than Jim’s number. The product of the two numbers is 65. What is Jim’s number?

8. Lucia has 38 peanuts in a bowl. Emily has 51 peanuts. Esimate the total number of peanuts that the girls have to the nearest 10.

Grade 5

16

Chapter 2

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

3. A serving of crackers contains 169 calories, 82 of which come from fat. To the nearest ten, estimate the number of calories that do not come from fat.

2–4

Name

Date

Problem-Solving Practice Add and Subtract Whole Numbers

Solve. 2. Marcos had $25 when he went to the store. If he bought a book for $7, how much money did he have left over?

3. Kim threw the discus 9,540 cm. If the record for her school is 15,230 cm, how much farther did she need to throw the discus to tie the school record?

4. Noah measured the length of three pieces of cloth. The measurements were 429 in., 36 in, and 234 in. What was the total length of the three pieces of cloth?

5. Hannah was subtracting the number 4,576 from the number 9,200. Her answer was 4,776. Is this answer correct? If not, what is the correct answer?

6. The area of Texas is 695,676 square kilometers. That is 525,368 more square kilometers than Florida. What is the area of Florida in square kilometers?

Grade 5

26

Chapter 2

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

1. If Tina had 46 gallons of water in one bucket and 23 gallons in another bucket, how many gallons did she have altogether?

2–6

Name

Date

Problem-Solving Practice Add and Subtract Decimals

Solve. 2. Marcos had $10.52 when he went to the store. If he bought a book for $6.39, how much money did he have left over?

3. Kim threw the discus 9.54 m. If the record for her school is 15.23 m, how much farther did she need to throw the discus to tie the school record?

4. Noah measured the length of three pieces of cloth. The measurements were 4.29 ft, 3.6 ft, and 2.34 ft. What was the total length of the three pieces of cloth?

5. Hannah was subtracting the number 4.576 from the number 9.2. Her answer was 4.776. Is this answer correct? If not, what is the correct answer?

6. Robert bought one 4.5-lb bag of dog food for $3.89, a 7.5-lb bag of cat food for $6.69, and two 2.3-lb bags of birdseed for $1.89 each. How much did he pay for the animal food?

7. Doreen has $20. She wants to buy a pair of earrings that costs $7.58 and a necklace that costs $13.36. Does Doreen have enough money? Explain your reasoning.

8. Marcos is happy because it has snowed in his town for three straight days. On Monday it snowed 3.56 inches. On Tuesday it snowed 4.359 more inches. On Wednesday it snowed 3.07 more inches. What was the total snowfall over the three days?

Grade 5

36

Chapter 2

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

1. If Tina had 4.6 gallons of water in one bucket and 2.3 gallons in another bucket, how many gallons did she have altogether?

Date

Problem-Solving Practice Addition Properties

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Solve. 1. Jessie went to the mall and bought a CD for $12.98, a skirt for $17.50, a T-shirt for $8.50, and a bottle of water for $1.02. Use mental math to find the total amount she spent.

2. Gary played soccer for 1 hour and tennis for 2 hours. Tanya played tennis for 2 hours and soccer for 1 hour. Who played sports longer? Explain.

3. Melissa practices violin four days a week. One week, she practiced for 21, 39, 45, and 25 minutes. Use mental math to find the total amount of time she practiced.

4. Francis got the following scores on his math quizzes: 86, 84, 90. Jillian got the following scores on her math quizzes: 84, 90, 86. Overall, who scored better? What addition property can you use to find the answer?

5. Paula was reading a novel. She read 13 pages on Sunday, 12 pages on Tuesday, 17 pages on Friday, and 8 pages on Saturday. Use mental math to find the total number of pages she read.

6. Dean received the following amounts for mowing his neighbors’ lawns: $12.50, $16.75, $20.50, $33.25. Use mental math to find the total amount he got paid.

Grade 5

41

Chapter 2

Chapter Resources

2–7

Name

2–8

Name

Date

Problem-Solving Practice Add and Subtract Mentally

Solve. 2. Stan is building a model airplane out of balsa wood. Each wing is 7.7 inches long and the body of the plane is 1.9 inches wide. What is the total wingspan of the model plane? Use compensation and explain the steps you used.

1. Last summer, Danila grew a sunflower that reached 76 inches at its maximum height. This summer, she grew a sunflower that reached 87 inches in height. Use mental math to find how much taller her sunflower was this summer than last summer. Explain the steps you used.

3. Kayla knows the lyrics to 63 songs. Her best friend knows the lyrics to 59 songs. If they don’t know the lyrics to any of the same songs, how many song lyrics do they know altogether? Use mental math and explain the steps you used.

Appliance Radio Laundry machine Ceiling fan Computer 27-inch television

4. How much more electricity does a 27-inch television use than a ceiling fan?

5. How much electricity do a radio and a laundry machine use altogether?

Electricity Used (Watts) 10 350 65 120 113

6. How much more electricity does a computer use than a 27-inch television?

Source: U.S. Dept. of Energy

Grade 5

46

Chapter 2

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

The electricity used by an electric appliance is measured in Watts. The table shows the different amounts of electricity used by common appliances.

Date

Problem-Solving Practice Multiplication Patterns

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Solve. 1. There are 20 Girl Scouts. Each Girl Scout has 8 badges. How many total badges are there?

2. Lincoln Middle School ordered 60 math books. If each book costs $30, how much will the school spend?

3. Sheila is saving $8 a week for a stereo that costs $210. Will she have enough if she saves for 30 weeks?

4. A music store sells 60 CDs and 40 CD players. If each CD costs $10 and each CD player costs $30, how much did the store make?

5. To find the volume of a storage chest, Dan multiplies the chest’s length times its width times its height. If the chest is 20 inches wide, 20 inches high, and 40 inches long, what is the volume of the chest?

6. Tamara is installing fence around four equal-sized square gardens. If 30 feet of fencing is needed for each garden, how many feet of fencing does Tamara need?

Grade 5

11

Chapter 3

Chapter Resources

3–1

Name

3–2

Name

Date

Problem-Solving Practice The Distributive Property

Solve. 1. Ray needs to multiply 5 x 26 to find the area of a rectangle. To use the distributive property, how would you fill in the blanks?

5 × 26 = 5 × ( = (5 × =

2. To multiply 8 x 14, Jana used the distributive property. Fill in the blanks to show what she did:

8 × 14 = 8 × (10 +

+ 6)

= (8 ×

) + (5 × 6)

=

+ 30

) ) + (8 × 4) + 32

=

=

4. The fifth-grade classes at Wilcox Elementary School are reading books during the summer. There are 76 students, and each is supposed to read 4 books. How many books will the students read in all?

5. The four Boy Scout troops in Carver City sold 1,238 buckets of popcorn to raise money. If each bucket costs $4, how much money did the troops raise?

6. James builds and sells furniture. Last month he sold 9 bookcases and 6 coffee tables. If each bookcase costs $310, and each coffee table costs $275, how much did James make?

Grade 5

16

Chapter 3

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

3. Four friends went out to dinner. To cover dinner, tax, and tip, each person paid $18. How much did they pay altogether?

Date

Problem-Solving Practice Estimate Products

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Solve.

1. Val bought 12 DVDs at $18 each. Estimate the total cost of the DVDs.

2. Eric’s dog weighs 27 pounds, Tina’s dog weighs 33 pounds, and Emir’s dog weighs 29 pounds. Estimate the total weight of all three dogs.

3. On a cross-country vacation, Maria filled her 14-gallon gas tank 11 times. About how many gallons of gas did she put in the tank altogether?

4. Sven went on an 8 day vacation to Hong Kong. He took enough money with him so that he could spend $73 per day. About how much money did he take on vacation?

5. Sherry has a jogging route through her neighborhood. She ran this route for 22 days in April, 20 days in May, and 19 days in June. Estimate the total number of days she ran.

6. Klara is visiting relatives in Norway and then Sweden. First, she exchanged $184 U.S dollars for Norwegian kroner. Then she exchanged $192 for Swedish krona. Finally, she exchanged another $212 for Swedish Krona. About how much did she exchange altogether?

Grade 5

21

Chapter 3

Chapter Resources

3–3

Name

3–4

Name

Date

Problem-Solving Practice Multiply by One-Digit Numbers 2. Each student in Mrs. Henderson’s science class brought in 3 books for the book donation. If there are 25 students in the class, how many total books did they collect?

3. There are 36 teams in the baseball league. Each team has 9 players on its roster. How many total players are there?

4. Alex, Brianna, and Jonathan each have $29 to spend on a birthday gift for their mother. How much money do they have in all?

5. The Community Center purchased 7 new exercise machines for the gym. Each machine cost $269. What was the total cost?

6. One city bus can carry 72 passengers. Will three city buses be able to carry 250 passengers? Explain.

Grade 5

26

Chapter 3

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

1. Karen and Anthony are setting up rows for the piano recital. They set up 22 rows with 6 chairs in each row. How many total people will the rows seat?

3–6

Name

Date

Problem-Solving Practice Multiply by Two-Digit Numbers

Solve. 2. This summer, Jane worked for 10 weeks at her mother’s book store. She earned $150 per week. How much did Jane earn?

3. The owners of Pizza Palace, a new restaurant, need to order furniture for their dining room. They need 26 tables and 120 chairs. How much will the tables and chairs cost if each table costs $43 and each chair costs $22?

4. For his job, Robert flies from Dallas, Texas, to Austin, Texas 25 times a year. If the round-trip flight between the two cities is 362 miles, how many total miles does Robert fly in a year?

5. Emily has a compact car that gets 38 miles per gallon of gas. Marcello’s station wagon gets 29 miles per gallon. Emily’s car holds 12 gallons of gas and Marcello’s holds 15 gallons. Who can travel farther on a full tank of gas?

6. Theresa commutes to work 16 days each month. She travels 56 miles round trip. Carl commutes to work 20 days each month; he also travels 56 miles round trip. Theresa works 12 months of the year, and Carl works 11 months. Who travels more in one year?

Grade 5

36

Chapter 3

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

1. Gary and Cedric are taking a 14-day road trip. They plan to drive 130 miles each day. How many miles would this be?

Date

Problem-Solving Practice Multiplication Properties

Solve. 1. Eva needs to multiply 1 × 245. Give the product and name the property she would use.

2. Jose needs to multiply three numbers: (6 × 14) × 2. Give the product and name the property he would use.

Find the number that makes the sentence true. 4. Peter uses the Associative Property to find n.

3. Alicia uses the Commutative Property to find n.

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

15 × 4 = n × 15

(35 × 2) × 8 = 35 × (n × 8)

Solve. 5. During the summer, Henry read two books. The first book had 148 pages. The second book had twice as many pages. Henry’s older brother read only one book, but it had twice as many pages as Henry’s second book. Did Henry’s brother read more or less than Henry?

Grade 5

6. The population of Delaware in the year 2000 was 783,600. The state has three counties: Kent, New Castle, and Sussex. Kent County has 126,697 people and New Castle has 500,265. Is the total population of Kent and New Castle counties more than four times the population of Sussex County?

41

Chapter 3

Chapter Resources

3–7

Name

3–8

Name

Date

Problem-Solving Practice Extending Multiplication

Solve. 2. Constantino bought 7 pounds of mozzarella cheese. Each pound costs $4.29. About how much did he spend altogether?

3. Kasi is traveling in the United States. If the exchange rate is 58 rupees for every American dollar, about how many rupees does it take to purchase a meal that costs $12.98?

4. A school receives $14.00 for every 1,000 labels they collect from certain products. About how much money will they make if students collect 3,000 labels?

5. In Spanish class, Kevin learns an average of 34 new words per month. If he takes Spanish for 3 years, about how many words will he learn?

6. An amusement park charges $35.50 for admission. On one day, 6,789 people visited the park. About how much money did the park make from admission that day?

Grade 5

46

Chapter 3

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

1. Andrea earns $32.00 a day. After 9 days, about how much will she have earned?

Date

Problem-Solving Practice Division Patterns

Solve. 2. Terry bought 10 yards of material to make 2 costumes. How much material does she have for each costume?

1. Five of Hannah’s friends bought her a birthday gift. The gift cost $20. How much did each friend pay for the gift?

yards

3. China has won about 50 gold medals at the Olympics. Argentina has won about 10 gold medals. China has won about how many times more medals than Argentina?

4. Richard measured his rectangular living room for new carpeting. He found that the room is 200 square feet, and the length is 20 feet. If the width of the living room is found by dividing the area by the length, what is the width of Richard’s living room?

times more medals

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

feet

5. In 2001, the population of Adair County, Iowa, was about 8,000. Dickinson County had twice as many people. The population of Story County was about 80,000. Scott County had twice as many people as Story County. Estimate each of the following: About how many times more people did Scott County have than Dickinson County? About

6. Jesse has an aquarium that holds 128 cups of water. One pint is equal to 2 cups, and 1 quart is equal to 2 pints. One gallon is equal to 4 quarts. How many pints does Jesse’s tank hold? pints How many quarts? quarts

times more people

About how many times more people did Story County have than Dickinson County? About

Grade 5

times more people

11

Chapter 4

Chapter Resources

4–1

Name

4–2

Name

Date

Problem-Solving Practice Estimate Quotients

Solve. 2. Four boys helped their neighbor, Paul, with some yard work. Paul paid them $75 for helping. If each boy got an equal amount, about how much did each boy earn?

1. Copy and complete. 18 ÷ 2 = 9 180 ÷

=9 ÷ 200 = 9

18,000 ÷ 2,000 = 3. The Chapman Company has 40 employees. All the employees received the same bonus at the end of the year.

4. A car dealership sold 247 cars last year. Each of the 6 salespeople sold about the same number of cars.

If a total of $25,000 was given out, about how much did each employee receive?

Use compatible numbers to estimate the number of cars each salesperson sold.

6. Earth is 93 million miles from the Sun. The distance from Mercury to the Sun is 57 million miles less. The distance from Saturn to the Sun is 50 million miles more than 9 times the distance from Earth to the Sun.

The volume of a box is 36,000 cubic inches. Its width is 40 inches and its height is 15 inches.

About how many more times is Saturn’s distance from the Sun than Mercury’s?

Estimate the length of the box.

Grade 5

16

Chapter 4

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

5. To find the volume of a box, you multiply the length times the width times the height.

Date

Problem-Solving Practice Divide by One-Digit Numbers

Solve. 2. Mr. Peters has 80 sheets of colored paper. Seven of his students need the paper for a project.

1. Three employees at a law office need to prepare 50 reports. If each employee prepares the same number, how many reports should each of them prepare?

How many sheets does each student get?

What is the remainder?

What is the remainder?

3. Dwayne buys his CDs for $7 each.

4. Tina has earned a total of 960 frequent flyer miles by traveling between Twin Falls and Preston. She has made this trip 4 times.

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

How many CDs can he buy with $145?

How many miles is one trip between these two cities?

How much money will be left over?

5. On a trip to Dallas, Ricardo drove his car 240 miles over 3 days. If he drove his car the same number of miles each day, how many miles did he drive each day?

6. 210 students attend Glenn School. If they fill all the seats in 8 classrooms, how many students are in each class?

How many do not have seats?

If Valley Elementary transfers 50 students to Glenn Elementary, how many more classrooms will be needed?

Grade 5

21

Chapter 4

Chapter Resources

4–3

Name

4–4

Name

Date

Problem-Solving Practice Divide by Two-Digit Numbers

Solve. 2. For science class, Mr. Grant divided 197 beans into 32 different containers.

1. Lisa worked 457 math problems for homework over 28 days.

How many beans did he put into each container? Show the remainder.

How many problems did she average per day? Show the remainder.

beans

problems 3. Juan was in charge of collecting money for a group of charities. He collected $979 for 11 charities. If the money was divided evenly, how much was given to each charity?

4. Julia helped serve holiday meals to 47 families. Each family averaged 5 family members. If she served 255 pounds of food, how many pounds of food did each family receive? pounds 6. Edwin reads at least one book per week. The last book he read contained 286 pages. Each page contained 27 lines and an average of 385 words per page. What is the average number of words per line?

How many pounds of glass and aluminum did he recycle? (Hint: Change dollars to cents first.)

words

pounds

Grade 5

26

Chapter 4

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

5. David recycles his plastic, paper, glass, and metal. The recycling center pays 25 cents per pound for aluminum and 11 cents per pound for glass. David received $5.75 for his aluminum cans and $2.53 for his glass bottles.

4–6

Name

Date

Problem-Solving Practice Interpret the Remainder

Solve. Explain how you interpreted the remainder. 2. A group of 39 fourth graders and 40 fifth graders go to the Science Center. The rule says there must be one adult for every 8 students. If 4 teachers go on the field trip, how many more adults go on the trip?

3. The Science Center got a gift of $15,000 for special programs. The center has already spent $4,000 of the money. If it budgets $2,000 for each special program, how many more programs can it have?

4. Monty buys 4 boxes of plastic dinosaurs. There are 16 dinosaurs in each box. Monty arranges the dinosaurs in rows of 5 and one smaller row. How many dinosaurs are in the smaller row?

5. A manufacturer ships 150 gyroscopes to the museum store. Since the store manager ordered only 50 gyroscopes, she keeps 50 and returns the others in boxes. Each box holds 30 gyroscopes. How many boxes does the manager ship?

6. A group of 116 students and 6 teachers see a movie at the Science Center. The theater has rows of 20 seats. How many rows can the group fill completely?

Grade 5

36

Chapter 4

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

1. The store at the Science Center gets a shipment of 24 boxes of globes, 18 boxes of books, and 43 boxes of office supplies. The clerk stores the boxes in stacks of 6. How many stacks did he make?

Date

Problem-Solving Practice Extending Division

Solve. 1. Pablo paid $14.75 for 5 identical items. About how much did each item cost?

2. Marianne measured the rainfall in her area for a year. Her readings totaled 34.56 in. Estimate the average rainfall per month.

3. Silvia is learning Spanish in school. At the end of the 9-month school year, she had learned 422 new words.

4. Lon earned $242.88 doing yard work. He owed his brother some money and was paying him back $25 at a time.

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

About how many words did she learn each month? Then use a calculator to find the exact answer to the nearest whole number.

About how many payments could he make from the money he earned?

5. Harry’s mother makes cakes for a local restaurant. She buys flour and sugar in large amounts. The last time she shopped, she bought 157.86 lb of flour and 82.69 lb of sugar. If she uses 15 lb of flour and 8 lb of sugar in a day, about how many days will the flour last?

6. The Weston Laundry washes all the linens for local hotels. In 7 days, they washed 2,853.8 pounds of towels and 3,534.7 pounds of sheets. About how many pounds of laundry did they wash each day? Then use a calculator to find the exact answer to the nearest whole number.

About how many days will the sugar last?

Grade 5

41

Chapter 4

Chapter Resources

4–7

Name

Date

Problem-Solving Practice Addition Expressions

Solve. 1. Jaynee’s friends ate 4 apples more than her family ate. Write an expression for how many apples Jaynee’s friends ate.

2. Ian walked 5 blocks home from school. His friend Kim walked x blocks farther. Write an expression for how far Kim walked.

3. Carmen took her newspapers and aluminum cans to the recycling center. She weighed everything and found that she had 24 pounds more newspapers than cans. Write an expression for the weight of the newspapers, using c as a variable.

4. Hannah’s grade on her last math test was 4 points more than Mark’s grade. Write an expression for Hannah’s grade, using m as a variable.

Evaluate the expression if m = 92.

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Evaluate the expression if c = 12.

6. Michael went to the water park. He spent 2 hours longer on the water slides than he did in the wave pool. If t represents the hours on the water slides, write an expression for the time he spent in the wave pool.

5. Ron made cookies for the fair. His sister made candy. Four cookies were packaged together, and 6 pieces of candy were packaged together. There were 6 more packages of cookies than packages of candy. Write an expression for the number of packages of cookies, using p as a variable. Evaluate the expression if p = 8.

Evaluate the expression if t = 4.

How many cookies and pieces of candy were taken to the bake sale? cookies and pieces of candy

How much time did he spend at the water park? hours

Grade 5

11

Chapter 5

Chapter Resources

5–1

Name

Date

Problem-Solving Practice Multiplication Expressions

Solve. 2. Dillon scored twice as many points as Nick did in a basketball game. Using y as a variable, write an expression for the number of points Dillon scored.

1. Kelly collected 3 times as many insects for science class as Adrienne did. Using x as a variable, write an expression for the number of insects Kelly collected.

3. Marta likes art class and painted 5 times as many pictures as the teacher required her to. Write an expression for the number of pictures Marta painted, using r as a variable.

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Evaluate this expression if the teacher required 3 pictures.

4. Roger’s parents own a pet store. They have 10 times as many hamsters as dogs. Write an expression for the number of hamsters they have in the store, using d as a variable.

Evaluate this expression for d = 8.

5. Nathan’s family wanted to plant trees. Nathan planted 4 times as many seedlings as his brother. Using b as a variable, write an expression for the number of trees Nathan planted.

6. Luisa eats a healthy diet. She eats 4 servings of fruits and vegetables and 2 servings of protein everyday. Write expressions for the number of servings of each type of food she eats in a certain number of days, d.

Evaluate this expression for b = 6. Evaluate these expressions for a one-week period.

Grade 5

21

Chapter 5

Chapter Resources

5–3

Name

5–4

Name

Date

Problem-Solving Practice More Algebraic Expressions

Write an expression for each real-world situation. Then evaluate. 2. Marcus received 15 packages of baseball cards for his birthday from his friends. If each package of baseball cards contains 8 cards, how many cards did he receive altogether?

3. There are 195 cars parked in the mall parking garage. There are 5 levels in the garage. If an equal number of cars are parked on each level, how many cars are on each level?

4. Jacob has 82 fewer dollars than his sister Jada in his savings account. If Jada has $235 in her account, how much does Jacob have?

5. Mr. Blackburn has 24 students is his science class. He asks each student to bring in 3 insects to study. How many insects will there be altogether?

6. Manuel is helping set up chairs for a school assembly. He has a total of 216 chairs that need to be arranged in rows of nine. How many rows of chairs will there be when he is finished?

7. The prices of certain items at the pool concession stand are shown in the table. Julia buys a juice pop and another item. If the other item was a bottled water, how much money did she spend?

Grade 5

Item bottled water candy bar hot dog juice pop

26

Price ($) 1.50 0.50 1.75 0.75

Chapter 5

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

1. Mrs. Perry has $105 to divide among her 3 children. How much money will each child receive?

5–6

Name

Date

Problem-Solving Practice Function Tables 2. Twelve people are able to ride the Serpent of Fire rollercoaster at one time. Write a function table that shows the total number of people that have been on the rollercoaster after 1, 2, 3, and 4 rides.

3. At the local movie theater it costs $10.00 for 2 students to see a movie. It costs $15.00 for 3 students, and it costs $20.00 for 4 students. Let the number of students be the input. What is the function rule that relates the number of students to the cost of tickets?

4. At Elmwood Middle School, sixth graders spend 1 hour every night doing homework. Seventh graders spend 2 hours, and eighth graders spend 3 hours. Let the students’ grade be the input. What is the function rule between the students’ grade and the amount of time the students spend on homework every night?

5. A bead shop sells glass beads for $7 each. Write a function rule to represent the total selling price of g glass beads.

6. Use the function rule in Exercise 5 to find the selling price of 10, 11, or 12 glass beads.

Grade 5

36

Chapter 5

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

1. Isaiah earns $4 for every dog he walks. Write a function table that can be used to find how much money he will make after walking 6, 8, and 10 dogs.

5–7

Name

Date

Problem-Solving Practice Chapter Resources

Number Sentences 1. Ted evaluated the expression 2 + (4 × 6). What was his answer?

2. Frank evaluated the expression (8 × 4) ÷ 2. What was his answer?

3. Miguel rode his bike for 35 minutes on Monday, Wednesday, and Saturday and 55 minutes on Tuesday and Thursday. Write an expression that shows the total amount of time he spent riding his bike.

4. Glenn ate 2 apples a day for a week. In addition to the apples, he ate 3 pears during the week. Write the expression that shows how many pieces of fruit he ate during the week.

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Evaluate the expression to find the number of pieces of fruit he ate that week. Evaluate the expression to find the total number of minutes he spent riding his bike.

5. Create an expression whose value is 12. It should contain four numbers and two different operations.

6. Keiko’s class collected coins to buy food for a local family. When Keiko counted the coins, there were 27 quarters, 92 dimes, 140 nickels, and 255 pennies. What expression did he use to find out how much money they had?

Evaluate the expression.

Grade 5

41

Chapter 5

Date

Problem-Solving Practice Addition and Subtraction Equations

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Solve. 1. Margarita had to measure butter for a recipe. She did not want to measure it directly in a cup because some butter would stick to the side of it. She put 1 cup of cold water into a measuring cup and added butter until the level of the water read 2 cups. How much butter did she measure?

2. Silas rode his bicycle 3 blocks to his friend’s house. From there, the two boys rode the rest of the way to school. If it is 8 blocks from Silas’s house to the school, how far is it from his friend’s house to the school?

3. Ted has a choice of two summer camps, one of which is 26 miles from home and one that is 98 miles from home. How much farther is the second camp from Ted’s home?

4. Jaida and her sister shared a mushroom and pepperoni pizza. Jaida ate 4 slices of the pizza. After her sister had some, there were 2 slices of the pizza left. If there were 8 slices to begin with, how much did her sister eat?

5. Diane’s parents bought three boxes of tiles to replace the old tiles on their kitchen floor. Each tile is one square foot, and there are 30 tiles to a box. The kitchen floor is 78 square feet. How many tiles will they have left over?

6. Martin has birdhouses outside his home. When he checked them two weeks ago, three of them had bluebirds, four of them had sparrows, and the rest of them had martins. When he checked them last week, half of the houses that had martins had been taken over by blue jays. If he has 11 birdhouses, how many of them contained blue jays?

Grade 5

11

Chapter 6

Chapter Resources

6–1

Name

6–2

Name

Date

Problem-Solving Practice Multiplication Equations

Write an equation and then solve. Check your solution. 2. If Calah cuts 16 pizzas into 8 slices each, how many total slices will she have?

3. Olivia raises 12 chickens on her farm. If each chicken lays 20 eggs in two weeks, how many eggs will she gather?

4. Juan works a total of 5 hours at his after-school job. If he earns $7 per hour worked, how much does he earn altogether?

5. Sophia has a large family. There are 8 people sitting at each of 6 tables. When they all get together for a holiday dinner, how many people are there?

6. Jacob likes to go on nature walks. On one of his walks, he noticed 5 different types of insects. He also saw 2 types of plants and 1 lizard. His walk covered only 1 acre. If he walked over 4 acres, how many things might he have seen?

Grade 5

16

Chapter 6

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

1. Samantha has 7 tomato plants in each of 12 rows. How many tomato plants does she have altogether?

6–4

Name

Date

Problem-Solving Practice Geometry: Ordered Pairs

For Exercises 1-5, use the map of the school below to solve. y 9 8 7 6 5 4 3 2 1 O

Cafeteria

Gym

Computer Lab Auditorium Art Room Music Room Principal’s Office 1 2 3 4 5 6 7 8 9

x

1. What is located at (5, 5)? (6, 8)?

2. Write the ordered pair for the auditorium.

3. Write the ordered pair for the music room. Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

4. Suppose point (4, 1) was moved 2 units to the left and 6 units up. Write the new ordered pair.

5. The principal would like to build a swimming pool for the swim team. Would the ordered pair (6, 7) be a good location for the swimming pool? Explain.

6. Create a map of an amusement park. Include the ordered pairs for the location of 5 rides.

Grade 5

26

Chapter 6

Date

Problem-Solving Practice Algebra and Geometry: Graph Functions

Solve. 2. Geraldo plotted (7, 9) on a graph. How many units above the origin is the point located?

1. Mishka identified a point that was 5 units above the origin and 4 units to the right on a graph. What was the ordered pair?

units

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

3. Amanda used the following ordered pairs to graph the function t = 5s + 2. Which of the following is not an ordered pair of the form (s, t) for this function: (0, 2), (4, 22), (7, 1), or (2, 12)? Explain your answer.

4. Ruth rode her bicycle at a steady rate of 6 miles per hour. As she went down a long hill, her speed increased 1 mile per hour every 10 seconds. Write the equation for this function if s is her speed and t is units of ten seconds.

Write the ordered pairs for t = 30 seconds and t = 40 seconds.

5. Lindy collected temperature over time data in science class. She wrote the following ordered pairs for (x, y): (0, 3), (2, 7) and (5, 13). Using a separate sheet of graph paper, graph the points, and connect the points with a line.

6. Louis worked in an electronics store. Every day, he earned a flat rate of $20 plus $6 per hour. Write a function that shows how much he earned in a day, depending on how long he worked.

What ordered pair in the form of (h, d ) shows how much he earned if he worked 4 hours?

From the graph, predict the value for y if x = 4. y= Grade 5

What if he worked 6 hours?

31

Chapter 6

Chapter Resources

6–5

Name

6–6

Name

Date

Problem-Solving Practice Functions and Equations

Solve using a function table or an equation. 1. Mr. Davis purchased 8 tickets for the play. If tickets cost $6 each and he has a coupon for $6 off any ticket price, how much did the tickets cost? Number of tickets

1

2

3

4

5

6

7

8

Cost ($)

2. The catalog sells tents for $12 each plus $5 for shipping. Rachel bought 3 tents. What was the total cost?

3. Jason saves $12 a week from his paper route. If he saves for two months, how much money will Jason have? Week

1

2

3

4

5

6

7

8 Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Savings ($)

4. A recipe for trail mix calls for 4 cups of nuts for every cup of dried fruit. If you include 32 cups of nuts, how many cups of dried fruit will you need? Cups of Nuts

4

8

12

16

20

24

28

32

Cups of Dried Fruit

5. If each vase contains 8 flowers and there are 22 vases, how many total flowers are there?

6. Trent collected 18 cans of food for the annual food drive. He also collected 6 cans from s friends. What is the total amount of cans c if he collected from 5 friends? Grade 5

36

Chapter 6

Date

Problem-Solving Practice Median and Mode

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Solve. 1. A convenience store sold 5 bottles of Super Cola, 6 bottles of Citrus Surprise, and 2 bottles of Mark’s Root Beer. What is the mode of these data?

5. In science class, Rosa measured the distance traveled by a cart in 5 seconds. Her data are 4.6 ft, 2.3 ft, 6.9 ft, 4.4 ft, and 3.6 ft. What is the median?

2. Bryan keeps score for the girls’ basketball team. In the last game, Mary scored 12 points; Julia, 2 points; Heather, 5 points; Brittany, 10 points; Heidi, 7 points; and Michelle, 1 point. To the nearest tenth, what is the median?

6. Rita walks almost every day for exercise. One week she walked 9 blocks, 14 blocks, 10 blocks, 11 blocks, 18 blocks, and 15 blocks. What is the median distance she walked?

7. Mrs. Ramirez baked on five consecutive days for her school’s bake sale. She baked 2 pies, 3 pies, 8 pies, 2 pies, and 6 pies. What is the mode of the number of pies Mrs. Ramirez baked?

3. Martin made 17 hits out of 51 times at bat in May. He made 14 hits out of 45 times at bat in June, and 14 hits out of 59 times at bat in July. What is the mode of Martin’s hits at bat?

8. Jake is practicing for a marathon. In the last month he has run 12 miles, 14 miles, 12 miles, 15 miles and 11 miles. What is the median distance he has run?

4. Bonnie measured the high temperature for each day of the week. Her readings were 20°C, 22°C, 22°C, 20°C, 20°C, 24‚°C, and 25°C. What is the mode?

Grade 5

11

Chapter 7

Chapter Resources

7–1

Name

Date

Problem-Solving Practice Line Plots

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Solve. 1. Kyle surveyed his friends and found that 7 of them listen regularly to rock music, 5 listen to rap music, and 2 listen to country music. Which type of music would have the highest number on a line plot?

2. Sean found that 6 of his classmates wore a size 5 shoe, 12 wore a size 6, 10 wore a size 7, and 2 wore an 8. On a line plot, which value is the mode of the data?

3. Deanna measured the length of a piece of wood three times. The measurements were 25.67 cm, 25.79 cm, and 25.71 cm. List the measurements in the order they would appear on a line plot.

4. Scott found that 12 of his classmates wore a size 5 ring, 9 wore a size 6, and 3 wore a size 7. On a line plot of this data, is the number of students or the ring size located by a number on the number line?

5. Laura kept a table of the daily temperatures during January in Minnesota. What changes might she have to make in a number line that starts at zero and goes to 20, so that it could be used to make a line plot of the temperatures?

6. Tyler planted 25 seedlings. One grew to 6 inches in height, 13 grew to 5 inches, 10 grew to 4 inches, and 1 grew to 3 inches. On a line plot of Tyler’s data, what is the median height?

Grade 5

21

Chapter 7

Chapter Resources

7–3

Name

7–4

Name

Date

Problem-Solving Practice Frequency Tables

Solve. 2. Keith rolled a number cube a dozen times and wrote down the results. After creating a frequency table of the data, he found that each number was rolled at least once. Is there an outlier in his data set?

3. Harriett wrote down the types of birds she saw on the way to school one day. She made a frequency table from the data and claimed the mode of the data was “9.” Is this correct? Explain.

4. Miguel wrote down the average daytime temperatures for the past 3 weeks: 78, 76, 76, 77, 76, 77, 78, 78, 77, 78, 77, 77, 78, 78, 76, 76, 78, 77, 77, 76, 76. If he made a frequency table of the data, how many rows would it have? How many tally marks would be next to 77?

5. Sally made a frequency table out of data collected by asking her classmates about their favorite sports. Fourteen people said soccer, 13 said basketball, 22 said football, and 3 said tennis. She concluded that the range of the data must be 19. Is she correct?

6. Ted collected data on the birthdays of students in his math class. He tried to make a frequency table of the data using one row for each day of the year. What should he label each row instead?

Grade 5

26

Chapter 7

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

1. Alexis took a survey of the favorite colors of all the teachers in her school. If she makes a frequency table, will she be able to find the median, range, and mode of the data?

7–5

Name

Date

Problem-Solving Practice Chapter Resources

Scales and Intervals Solve. 1. What would be an appropriate scale for a frequency table representing a set of data with a lowest value of 5 and a highest value of 95? Explain.

2. A frequency table lists the following intervals: 26-35, 36-45, 46-65, 66-75. Are these appropriate? Why or why not?

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

3. Jeff took a survey on how long his classmates spend doing homework every day. Most students said they spend 25 to 35 minutes doing homework. One student said he spends 15 minutes, and another said he spends 45 minutes. If Jeff makes a frequency table of the data, what scale and interval size should he use?

4. Barbara kept track of how much each customer spent during a Saturday at her uncle’s pizza shop, where a slice costs $2.50 and a whole pie costs $12.50. Out of 100 customers, about half bought one or two slices of pizza. A third of the customers bought a whole pie, and one customer bought 3 whole pies. If Barbara makes a frequency table of the data, what scale and interval size should she use?

5. Becky wrote down the number of unforced errors made by junior tennis players during the last intramural match. Of the 19 tennis players in the match, no one made less than 35 unforced errors. One tennis player made 73 unforced errors. If Becky makes a frequency table of the data, what scale should she use? What interval size should she use?

6. Ty recorded data on the number of letters in his classmates’ first names. He had the shortest name in the class, and his best friend, Bartholomew, had the longest. For the frequency table, he wanted to make the scale 1 to 10 with an interval size of 1.5. Are Ty’s choices appropriate? Explain.

Grade 5

31

Chapter 7

7–6

Name

Date

Problem-Solving Practice Bar Graphs

Solve. 2. Dawn gathered information about the population of each county in her state. If she prepares a bar graph of this data, what information goes on the vertical axis?

3. In her social studies report, Suzanne included a bar graph that showed the populations of different Native American nations in 1800. The interval she used was 2,000 people. If one nation had a population represented by 2.5 intervals, how many members of this nation existed in 1800?

4. Jon makes a double-bar graph that shows the numbers of cats and dogs owned by members of his class. If Jon himself owns one dog and two cats, how will the heights of the bars compare?

5. Nathan made a triple-bar graph showing the numbers of bronze, silver, and gold medals won by each country in the last Olympics. How can he use the information from this graph to create a bar graph that shows the total number of medals won by each country?

6. Anthony emptied his bank and made a bar graph of the numbers of each type of coin. The interval he chose was 5 coins. If the graph showed 5 intervals of quarters, 2 intervals of dimes, 3 intervals of nickels, and 10 intervals of pennies, how much money was in his bank?

Grade 5

36

Chapter 7

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

1. Moesha volunteers at the zoo. She prepared a bar graph that shows the number of pounds of food eaten each day, by each animal. What information goes on the horizontal axis?

Date

Problem-Solving Practice Line Graphs

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Solve. 1. Tim lives in New York. He prepares a line graph that shows the amount of heating fuel used in his home for a year. Will the line rise, remain level, or fall between August and November?

2. Helena gathered information about average monthly rainfall during a year in Seattle, Washington. If she prepares a line graph of this data, what information goes on the vertical axis?

3. Kevin made a double-line graph that shows the minutes he and his brother spent practicing piano last week. If Kevin always practices for more time than his brother each day, how will the two lines compare?

4. Boomtown and Smallville had the same population in 1980. Since then, the population of Boomtown grew and the population of Smallville shrank. If a double-line graph was made from the population figures of both towns, what would it look like?

5. Penny felt ill so she stayed in bed and her mom kept track of her temperature all day. Each hour, she wrote down Penny’s temperature: 99°, 99°, 98°, 98°, 102°, 99°, 99°. Describe a line plot made from this data.

Grade 5

41

Chapter 7

Chapter Resources

7–7

Name

Name

7–8

Date

Problem-Solving Practice Use an Appropriate Graph

1. Raymond wants to know how many of each kind of sports jersey he owns. What graph would you use to best represent the following? Sports Jersey

Number of Jerseys

Soccer

3

Football

1

Baseball

4

Basketball

2

Hockey

5

2. Hannah wanted to spend less money on clothes. How would you graph the amount of money she spent during a 6-month period to see if she met her goal to spend less? Explain your choice of graph. Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

3.

Friends’ Birthdays

X Jan.

X X

X X

X X X

X

X

X X X

X X

X

X X X

X

X X

Feb. Mar. Apr. May June July Aug. Sept. Oct. Nov. Dec.

Explain why this graph is the best choice to show this information. How might a person use the information this graph provides?

Grade 5

46

Chapter 7

Problem-Solving Practice Fractions and Division

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Represent each situation using a fraction. Then solve. 1. Elena drank 5 bottles of water over 7 days. How much water did Elena drink each day?

2. Molly is slicing 3 pizzas into equal slices so that 8 people can each have a piece. How much pizza does each person receive?

3. The Littleton family drinks 2 gallons of milk in 5 days. How many gallons do they drink each day?

4. Three gallons of paint are used to paint 16 wooden signs. How much paint did each sign use?

5. Three bags of packing peanuts are used to fill 2 boxes. How many bags of packing peanuts does each box use?

6. Nine yards of ribbon are used to make 2 bows. How many yards of ribbon does each bow use?

Grade 5

11

Chapter 8

Chapter Resources

8–1

Name ____________________________ Date ________________

8–2

Name ____________________________ Date ________________

Problem-Solving Practice Improper Fractions

Solve. 1. Sixty-three students have signed up for summer soccer camp. If each soccer team can have 11 players, how many teams can be formed? Write the answer as a mixed number and as a remainder. Explain what the remainder means.

2. Taye rode his bicycle 47 miles in 3 hours. Write the number of miles ridden each hour as a mixed number.

3. Shawna is decorating a scrapbook page with stickers. She has 40 stickers and 6 stickers will fit on one scrapbook page. How many pages can she fill with stickers? Write the answer as a mixed number and as a remainder. Explain what the remainder means.

5. Leah is assembling gift bags for her birthday party. Nine friends are coming to the party. Leah has 58 items for all the gift bags. How many items should she put in each bag? Will there be any items left over?

6. Arvin is making a fruit snack for himself and his 3 brothers. If he has 35 apple slices, how many will each brother get? Write the answer as a mixed number and as a remainder. Explain what the remainder means.

Grade 5

16

Chapter 8

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

4. Rodney is putting away test tubes in science class. He has 50 test tubes and 12 will fit on each rack. How many racks will Rodney fill? Write the answer as a mixed number.

8–4

Name ____________________________ Date ________________

Problem-Solving Practice Mixed Numbers

Solve. 2. Sam’s family ate 2 pizzas. Then they ate 5 of the 8 slices of another pizza. How many pizzas did his family eat?

3. Hans ran 3 miles on the track. He took 4 a break, then ran another _ mile. Write 5 the number of miles Hans ran as an improper fraction.

4. Lindsey ran in a 10-kilometer race. This 1 is equal to 6 _ miles. Write the number 5 of miles Lindsey ran as an improper fraction.

5. Keisha is running on an indoor track where 8 laps equals one mile. If she runs 19 laps, how many miles is this? Write your answer as a mixed number and as an improper fraction.

6. Doug found that it takes 20 minutes to do 8 math problems. If he has 28 problems, how long will it take him to do them?

Grade 5

26

Chapter 8

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

1. During the holiday break, Anthony read one book, and half of another book. How many books did he read?

Date

Problem-Solving Practice Fractions on a Number Line

Solve. 19 1 1. James walks 2 _ miles to school. Kiana walks _ miles to school. Who walks farther 7 7 to school? Explain.

2. Clarice lives

3 17 _ miles from her grandmother’s house and 2 _ miles from her aunt’s

8 8 house. Does Clarice live closer to her aunt or her grandmother? Explain.

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

3 65 3. Henry’s pet bird weighs 4 _ ounces and his pet kitten weighs _ ounces. 16 16 Which pet weighs more? Explain.

4. A recipe for lemonade calls for

1 11 _ cup lemon juice and 2 _ cup water. Does the

4 recipe have more lemon juice or water? Explain.

4

17 2 5. Elina made a skirt using 3 _ yards of fabric. She made a dress using _ yards of 5 5 fabric. Which item used more fabric? Explain.

42 2 6. Greg’s dad planted 5 _ rows of his garden with lettuce. He planted _ rows of the 9 9 garden with carrots. Did he plant more lettuce or carrots? Explain.

Grade 5

31

Chapter 8

Chapter Resources

8-5

Name

8–6

Name

Date

Problem-Solving Practice Round Fractions

Solve. 3 1. A recipe for cookies calls for _ of a cup of chocolate chips. Should 1 4 you buy a package with cup or a package with 1 cup? 2

_

3 2. The cookie recipe also calls for _ of a cup of walnuts. Should you 8 1 buy a package with 1 cup or a package with _ cup of walnuts? 2

3 3. Your kitchen has a 9 _ foot ceiling. To the nearest half foot, what is 4 the tallest refrigerator that can fit in the kitchen under a cabinet that hangs down 3 feet?

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

1 4. Russ is putting his photographs in an album that is 12 _ inches long 8 1 and 10 _ inches wide. Should he trim the edges of the photographs 2 1 to 12 inches long and 10 inches wide or to 12 _ inches long and 2 1 10 _ inches wide? 2

3 5. A farmer is planting squash plants that need 2 _ feet to spread 8 out. He has an area along a fence that is 20 feet long. Round the 1 amount of space the squash plants need to the nearest _ foot. How 2 many squash plants can the farmer grow along the fence?

6. Based on the area of his flowerbed, a gardener calculates that he 8 8 needs 6 _ gallons of fertilizer. Should he round 6 _ up or down 14 14 when deciding on the amount of fertilizer he should purchase?

Grade 5

36

Chapter 8

Date

Problem-Solving Practice Common Factors

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Solve. 1. José played 24 softball games, and Marianne played 20 softball games. What is the greatest common factor of these numbers?

2. Ellen is making flower arrangements. She has 48 carnations and 40 roses. What is the greatest number of identical arrangements she can make using all the flowers?

3. Mrs. Ellis’ class contains 30 students. Mr. Hernandez’ class contains 25 students. They want equal-sized science groups, so that they can share supplies. What is the largest number of students that can be in a group?

4. The theater where Kendall’s school choir sings contains seats for 650 people. The balcony will hold 113 people. The rest of the auditorium is divided into three equal sections. How many people can sit in each section?

5. John placed 128 beads in equal rows to make an art project. His friend Mark used 125 beads to make a similar project. Is it possible for their projects to contain the same number of beads in a row? Explain your answer.

6. Tanya’s parents are starting an orchard. They bought 250 apple trees, 125 peach trees, and 175 pear trees. They want to plant the same number of trees in each row. They want only one type of tree in a row, and they want to plant all the trees. What is the greatest number of trees they can plant in a row?

Grade 5

11

Chapter 9

Chapter Resources

9–1

Name

9–2

Name

Date

Problem-Solving Practice Prime and Composite Numbers

Solve. 2. Martina ate 27 raisins. Is the number 27 prime or composite?

3. Brianna wants to display her 14 pairs of earrings, with the same number of pairs in each row. Is there more than one way to do this? Explain.

4. Mrs. Robertson is setting up chairs for the talent show. She wants to place 18 chairs in equal rows. How many different ways can Mrs. Robertson arrange the chairs in to equal rows?

5. Cruz and his friend, Penny, need to determine what numbers are prime and what numbers are composite for a homework assignment. Cruz says that the number 5 is a composite number because it has the factors 2 and 2.5. Explain what is wrong with his reasoning.

6. Is 39 prime or composite? Explain your answer.

Grade 5

16

Chapter 9

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

1. There are 13 flavors at a local ice cream parlor. Is the number 13 a prime number or a composite number?

Date

Problem-Solving Practice Equivalent Fractions

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Solve. 1. James ate 4 of 10 cookies. What fraction of the cookies did he eat? What is the equivalent fraction if there were only 5 cookies available?

2. Luann sewed 4 out of 7 buttons on her coat. What fraction of the buttons did she sew? What is the equivalent fraction with a denominator of 21?

3. Isabel was awake for 16 hours last Monday. She spent 6 of those hours at school. What fraction of the time that she was awake did she spend at school? What is the equivalent fraction with a denominator of 32?

4. Jamal cut a pizza into 8 pieces and ate 2 of them. A few days later, he cut another identical pizza into 12 pieces. How many pieces should he eat of that pizza to eat the same amount? Explain your answer.

5. Danielle and her brother went to the town carnival. Together, they won 15 prizes. Danielle won 9 of them. What fraction did her brother win? If there had been only 10 prizes won, how many would her brother have won if the fractions were equivalent?

6. Donovan worked 14 of 20 homework problems before he went home from school. Is there an equivalent fraction with a denominator of 10? Is there an equivalent fraction with a denominator of 5? Explain your answers.

Grade 5

21

Chapter 9

Chapter Resources

9–3

Name

9–4

Name

Date

Problem-Solving Practice Simplest Form

Solve. 2. Jennifer played 3 of 9 innings in the ball game. Write this fraction in its simplest form.

3. Mali is babysitting her neighbor’s children for an hour a day. She earned $100 in 4 weeks. Use a simplified fraction to show how much she earned in one week.

4. Casey fed 9 of the 24 animals at a veterinarian’s office. His brother Tim fed 6 of 16 animals at the animal shelter. Did the brothers feed an equivalent fraction of animals? Explain your answer.

5. Shelly washed 8 of 16 cars at the school car wash. Olivia washed 1 of the 2 cars her family owns. Both girls washed _12_ of the cars being washed. Did they do the same amount of work? Explain your answer.

6. Sophia is going to plant part of a vegetable garden that was divided into 5 parts. She said that the fraction that shows the part she will plant cannot be simplified. How does she know that it cannot be simplified when she does not yet know how many parts she will plant?

Grade 5

26

Chapter 9

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

1. Alex walked 4 of the 6 blocks to school. Write this fraction in its simplest form.

Date

Problem-Solving Practice Decimals and Fractions

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Solve. 1. One cup is equal to 0.5 pint. Write this decimal as a fraction in simplest form.

2. Aimee needs 0.25 cup of vegetable oil to make muffins. Write this decimal as a fraction.

3. Trudy is making a picture frame and needs nails that measure 0.375 of an inch. At the hardware store, nails are measured in fractions of an inch: 3 1 1 _ inch, _ inch, and _ inch. Which of 4 8 8 these nails should she buy?

4. A vitamin contains sixty-two thousandths gram of vitamin E and thirty-three thousandths gram of vitamin A. Does the vitamin contain at least twice the amount of vitamin E than vitamin A?

5. Neil needs 0.75 cup of sugar for his recipe. Which of these fractions is the 1 3 2 correct measure, _, _ or _? 3 4 3

6. At Richardson Elementary, 0.35 of the buses were late because of a snowstorm. Write the decimal as a fraction in lowest terms.

1 7. Three flowers have stem widths of _ 2 5 1 inch, _ inch, and _ inch. What is 4 8 the measure of the flower with the greatest stem width? Write the answer as a decimal.

7 8. Natalie needs _ yard of fabric to 8 make a pillow. Write this fraction as a decimal.

Grade 5

31

Chapter 9

Chapter Resources

9–5

Name

Date

Problem-Solving Practice Multiples

Solve. 1. List the first 10 multiples of 3 and 5 greater than zero.

2. List the first 10 common multiples of 2 and 4 greater than zero.

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

What are the common multiples?

3. Noel started going to yoga class on November 3, and went every third day after that. Lana also started classes on November 3, and went every fourth day after that. In how many days will they be in class together?

4. Bonnie is baking a pie and a batch 3 of cookies. She needs _ cups of 4 5 flour for the cookies and _ cups of 6 flour for the pie. Write the LCM of the denominators.

5. Since Carl has moved away for college, he calls his best friend every fifth day, his parents every third day, and his grandmother every fourth day. Carl made all three calls on October 8. In how many days will he make three calls again?

6. Lora’s gymnastics class practices floor exercises every other day. The class practices on the balance beam every third day, and the uneven bars every fourth day. Today is March 10, and the class practiced all three events. How many more times, before June 1, will the class practice all three on the same day?

What will be the date?

Grade 5

41

Chapter 9

Chapter Resources

9–7

Name

Date

Problem-Solving Practice Compare Fractions

Solve. 1 1. During gym class, Alicia ran _ mile and 2 2 Nguyen ran _ mile. Who ran farther? 3

1 2. Juanita practiced the piano for _ hour. 2 Her brother, Miguel, then practiced for 5 _ hour. Who practiced less? 6

3. Lucy and Randall were supposed to spend 1 hour after school practicing 7 their soccer skills. Lucy practiced for _ 8 4 hour and Randall practiced for _ hour. 5 Who practiced closer to a full hour?

4. Sasha, Tony, and Michael are reading 3 the same book. Sasha has read _ 3 4 of the book, Tony has read _, and 5 2 Michael has read _. Who has read the 3 most?

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Who has read the least?

5. Of the 45 students in the fourth grade at Morris Elementary, 19 participate in sports after school. Two out of every six fifth graders play sports after school. In the sixth-grade class, seven of every ten students are not playing sports. Which grade has the most students playing sports after school?

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51

6. In the fourth-grade class at Baker Elementary, 9 students are left-handed. The fifth grade has 7 left-handed students and the sixth grade has 6. The number of students in the fourth grade is 3 times the number of left-handed students in the class. The sixth grade has 3 more students than the fourth grade, and the fifth grade has two fewer students than the sixth grade. Which grade has the greatest fraction of left-handed students?

Chapter 9

Chapter Resources

9–9

Name

Problem-Solving Practice Add Like Fractions

Solve. Write your answer in simplest form. 1 2. Laureano worked _ hour one day 4 3 and _ hour the next day. How many 4 hours did he work on the two days?

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

1. Debbie helped her mother with the 1 laundry. She did _ of it on Monday 3 8 and another _ of it on Tuesday. What 8 fraction of the laundry has she done?

3. Mindy likes to order fresh meat and vegetable wraps from a local 1 restaurant. One cook can roll _ wraps 3 2 in 5 minutes. Another cook can roll _ 3 wraps in the same amount of time. How many wraps can the two cooks prepare in 5 minutes?

4. John went to a museum to see model 2 trains. He saw _ mile of track on the 5 4 first floor of the museum. He saw _ 5 mile of track on the second floor. How much track did John see?

5. Sherry was in charge of distributing 250 food items that were donated to the local food pantry. On Monday she distributed 87 items. On Tuesday, she distributed 63 more items. Fifty more items were distributed on Wednesday. What fraction of the food items was distributed by the end of the day on Wednesday?

6. Laura and her sister Katie swim every 3 day. Laura can swim _ mile in 7 2 10 minutes. Katie can swim _ mile in 7 the same amount of time. If they swim for 20 minutes and their speeds stay the same, how far do the sisters swim?

Grade 5

11

Chapter 10

Chapter Resources

10–1

Name ____________________________ Date ________________

10–2

Name ____________________________ Date ________________

Problem-Solving Practice Subtract Like Fractions

Solve. Write your answer in simplest form. 1. Beth bought _ pound of provolone 36 cheese and _ pound of mozzarella 6 cheese. How much more provolone than mozzarella did she buy?

2. An aquarium was _ full with water. 10 After cleaning the aquarium, it was 4 _ full with water. What fraction of the 10 water was drained while cleaning the aquarium?

3. On a class trip to the museum, _ 8 of the students saw the dinosaurs 2 and _ of the students saw the jewelry 8 collection. What fraction of students saw the dinosaurs over the jewelry collection?

4. At a family reunion, _ of Vanessa’s 12 5 family brought a dinner item and _ 12 brought a dessert item. What part of her family brought dinner over dessert?

5. Julio read _ of a book the first week 9 2 and _ of the same book the second 9 week. How much of the book did he have left to read?

6. Brad completed _ of his homework 10 5 immediately after school and _ of his 10 homework after dinner. How much of his homework does he have left to do?

5

9

7

5

3

5

16

Chapter 10

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Grade 5

Problem-Solving Practice Add Unlike Fractions

Solve. Write your answer in simplest form. 2. Eric delivers _ of the newspapers in 5 1 the neighborhood, and Anita delivers _ 2 of them. Eric and Anita deliver what fraction of the papers? 1

1. Elizabeth made an English muffin pizza 1 1 using _ cup of cheese and _ cup of 4 10 sausage. How many cups of toppings did she use?

Solve. Write your answer in simplest form. 4. Brian was hungry and wanted to eat _ 8 of a pie. His friend was even hungrier 3 and wanted to eat _ of a pie. Will one 4 pie be enough for the two boys? If not, how much of another pie is needed? 3

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

3. Christie took a social studies test on Monday. Two-fifths of the questions 3 were multiple-choice, and _ of the 7 question were true-false questions. What part of the total number of questions are either multiple choice or true-false questions?

Solve. Write your answer in simplest form. 5. Sue took a survey in the fifth grade 1 and found that _ of the students wore 4 4 1 sandals, _ wore tennis shoes, and _ 7 8 wore loafers. What part of the students wore one of these three types of shoes?

Grade 5

21

6. Long’s car is being repaired. His brother takes him where he needs to go from 9:00 A.M. to noon. His sister takes him where he needs to go from 2:00 P.M. to 7:00 P.M. Change these time periods to fractions of a day. In simplest terms, what part of the day does he have transportation to take him where he needs to go?

Chapter 10

Chapter Resources

10–3

Name ____________________________ Date ________________

10–4

Name ____________________________ Date ________________

Problem-Solving Practice Subtract Unlike Fractions

Solve. Write your answer in simplest form. 1. Steve watched television for _ hour 4 5 on Monday and _ hour on Tuesday. 6 How many more hours did he watch television on Tuesday?

2. Deanna uses _ cup flour and _ cup 3 4 shortening in a recipe. How much more flour than shortening does she use?

3

2

1

Solve. Write your answer in simplest form. 3. Marsha and her friend, Tina, are making table decorations for a party. Marsha 2 made _ of a decoration in half an hour. 9 2 Tina can make _ of a decoration in the 3 same amount of time. How much more of a decoration can Tina make in half an hour?

4. Kyle planted flowers in the front of the 11 school. He planted _ of the plants on 16

1 Friday and _ of the plants on Saturday. 4

On which day did he plant more flowers? What is the difference in the amount of flowers he planted on the two days?

5. Shawn rides his bicycle _ mile to 10 school. On his way to school, he stops 1 at Mike’s house, which is _ mile from 5 Shawn’s house. Then they both ride 9

6. After school, Laura babysits one child for 50 minutes. They rest for 10 minutes, read for 15 minutes, and play for the rest of the time. Write the total babysitting time, the resting time, and the reading time, as fractions of an hour.

to Jose’s house, which is _ mile from 7 Mike’s house. How far is it from Jose’s house to the school? 2

Use these fractions to find the fraction of an hour they play.

Grade 5

26

Chapter 10

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Solve. Write your answer in simplest form.

10–6

Name ____________________________ Date ________________

Problem-Solving Practice Estimate Sums and Differences

Solve. 1. Abdul works 1_ hour one day and 4 1 1_ hour the next day. Estimate the 3 total number of hours he works on both days combined. 3

about

2. Anna is making cookies for the school 1 bake sale. If she uses 1_ pounds of 8 flour per batch, what is the amount of flour she needs for four batches?

hours

about

3. Rachel sings in a chorus at a concert. 3 The songs are 4 _ minutes, 10 3 1 7 _ minutes, and 10 _ minutes long. 4 12 Estimate the amount of time the chorus spends singing. about

4. Kathy rides her bicycle to her aunt’s 2 house. It takes her 20 _ minutes to get 3 there. She is tired when she leaves, 1 and it takes her 24 _ minutes to 6 ride home. What is the approximate difference in the two times?

minutes

about

minutes

6. Justin plays football. On one play, he 1 ran the ball 24 _ yards. The following 3 2 play, he was tackled and lost 3 _ yards. 3 1 The next play, he ran for 5_ yards. 4 Estimate how much farther the ball is down the field after the three plays. about

yards

inches

Would this length be the actual amount she should buy? Explain.

Grade 5

36

Chapter 10

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

5. Carol wants to make a picture frame for an 8 × 10 inch photo. The long 1 pieces of the frame need to be 12 _ 8 inches long. The short pieces should 1 be 10 _ inches long. Estimate the 4 length of wood Carol must buy to make the frame. about

pounds

10–7

Name

Date

Problem-Solving Practice Chapter Resources

Add Mixed Numbers Add. Write each sum in simplest form. 2 1. Manuel walked _ of a mile to the park. He walked the same 3 distance back home. How far did Manuel walk altogether?

1 2 2. Blanca’s children are 6 _ years old and 5 _ years old. In simplest 6 6 form, what are the combined ages of her children?

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

2 3. Cumberland Valley Coal Company mines 249 _ tons of coal on one 3 2 day and 387 _ tons on another day. What is the total number of 6 tons of coal mined on both days?

1 1 4. Bethany bought 2 _ pounds of bread, 3 _ pounds of meat, and 4 2 2 3 _ pounds of cheese to make sandwiches for a party. She also 8 1 4 bought 2 _ pounds of tomatoes, 1 _ pounds of onions, and 4 16 3 2 _ pounds of lettuce. 4 What is the total number of pounds of food that she bought?

3 5. Keith is making a canvas tent. He needs 12 _ yards of beige canvas 4 2 for the top and 8 _ yards of green canvas for the bottom. How 4 many yards of canvas does he need in all?

Grade 5

41

Chapter 10

10–8

Name

Date

Problem Solving Practice Subtract Mixed Numbers

Subtract. Write each difference in simplest form. 5 7 1. A large table is 30 _ inches high. A small table is 16 _ inches high. How much 16 16 higher is the larger table?

3 2 2. Brenda is 59 _ inches tall. Her sister is 48 _ inches tall. How much taller is Brenda 4 8 than her sister?

2 2 3. Wilma pitches 4 _ innings in a baseball game. Nina pitches 1 _ innings in the same 3 6 game. How many more innings does Wilma pitch than Nina?

3 7 4. Robert lives 3 _ miles from school. Al lives 4 _ miles from school. Who lives 10 10 farther from school? How much farther?

5 14 _ of a yard of ribbon to decorate a banner. She has _ of a yard of

16 ribbon. How much more ribbon does Jayne need?

8

3 2 6. Rick has a choice of buying 4 _ packages of pencils or 2 _ packages of pens. 5 5 In simplest form, how many more packages of pencils than pens can he buy?

3 7. One year, Cumberland Valley Coal Company planted 14 _ dozen trees to help 2 6 prevent erosion. The following year, they planted 20 _ dozen trees. How many more 3 trees did they plant the second year?

Grade 5

46

Chapter 10

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

5. Jayne needs

10–10

Name

Date

Problem-Solving Practice Subtracting Mixed Numbers with Renaming

Solve. 1. When Shane and his family went on vacation, the pilot announced 1 that it would take 4 _ hours to reach their destination. When the 4 3 flight snack was served, they had been in flight 2 _ hours. How 4 much longer was the flight after the snack was served?

3 1 2. Mark bought 5 _ pounds of yellow cheese and 3 _ of white cheese. 4 4 How much more yellow cheese than white cheese did he buy?

5 3. Stella made 4 _ quarts of lemon tea for the weekend barbecue. 8 7 Vincent made 2 _ quarts of mint tea for the barbecue. How much 8 more tea did Stella make than Vincent? Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

3 2 4. Taylor’s puppy weighs 9 _ pounds. Belinda’s kitten weighs 3 _ pounds. 5 10 How much more does Taylor’s puppy weigh than Belinda’s kitten?

1 5. Jillian has a piece of leather cord that is 12 _ inches long. She only 5 4 needs 8 _ inches of cord to make a bracelet. How much leather 5 cord will she trim?

Grade 5

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Chapter 10

Date

Problem-Solving Practice Units of Lengths

Solve. 1. Mario wants to measure the length of his car. Will the measurement be in inches, feet, or miles?

2. Violet wants to measure the distance from her house to her school. The school is on the other side of town from her house. Will her measurement be in feet, yards, or miles?

3. Jane jumped 156 inches in the long jump competition at the high school track meet. How many feet is Jane’s jump?

4. Wayne threw the discus 87 feet during track practice. How many inches is Wayne’s throw?

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

How many yards is his throw?

5. Paula needs to have 6 windows in her house replaced. The height of each window is 47 inches and the width of each is 30 inches. The company doing the replacement needs to know the total length around all the windows in feet. How many feet should Paula tell the company?

Grade 5

6. When Quentin flew from New York City to Atlanta, the pilot announced that they were flying at 33,000 feet. How many miles is this? miles How many more feet would they need to climb to reach an altitude of 7 miles?

11

Chapter 11

Chapter Resources

11–1

Name

Date

Problem-Solving Practice Units of Weight

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Solve. 1. Heidi weighs her new pet hamster. Do you think that the weight will be given in ounces, pounds, or tons?

2. How many 8-ounce bags of trail mix can be filled from a 10-pound bag of trail mix?

3. A package that weighed 50 ounces is delivered to Eduardo. How many pounds is the package?

4. During the past week, a fishing boat has returned to dock with 2_12_ tons of fish. How many pounds of fish is that?

5. Jerry is putting a patio in his backyard. He needs 375 standard-size bricks, and 200 small, square-shaped bricks. Each small brick weighs 32 ounces and each standard brick weighs 5 pounds. The local home improvement store charges a $50 delivery fee if your order weighs more than 2,000 pounds. Will Jerry need to pay the delivery fee?

6. Randy brought 4 _12_ pounds of pasta salad to the school picnic. Mary brought 45 ounces of coleslaw. Who brought more food to the picnic?

Grade 5

21

Chapter 11

Chapter Resources

11–3

Name

11–4

Name

Date

Problem-Solving Practice Units of Capacity

Solve. 1. Charles wants to know how much water he uses when he takes a shower. Would the amount of water be measured in fluid ounces, cups, or gallons?

2. Miriam is using special paint for her artwork. The art supply store charges $1.50 per cup of paint. Miriam needs 2 pints of blue paint, 3 cups of green, 1 _12_ quarts of orange paint, and _12_ cup of yellow. How much will she pay?

3. The table shows the amount of juice left in 3 bottles. Which bottle of juice contains the greatest amount? The least?

4. If Molly drinks 64 fl oz. of water every day, how many cups of water will she drink in 2 weeks?

Amount 6 cups 50 fl oz 1 qt

5. A pitcher holds 4 quarts of lemonade. Is this amount greater than, less than, or equal to 2 gallons? Explain.

Grade 5

6. Patrick has 7 quarts of hot chocolate to share with his classmates. How many of Patrick’s classmates can have 1 cup of hot chocolate?

26

Chapter 11

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Juice Apple Orange Grape

Date

Problem-Solving Practice Units of Time

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Solve. 1. An oak tree doesn’t produce acorns until it is 20 years old. How many months is this?

2. A group of friends spent 10 hours and 25 minutes at an amusement park. How many total minutes were they at the park?

3. Mr. and Mrs. Ramsey’s boy, Tyler, is 19 months old. The Boswells have a toddler, Jade, who is 9 months older than Tyler. Write each child’s age as years and months.

4. The winner of the recent New York City Marathon completed the race in 7,798 seconds. What is this time in hours, minutes, and seconds?

Use the table that shows the time it takes to travel by bus from Brownsville, Texas to different cities to answer Exercises 5–7.

Arrival City Sacramento, CA St. Louis, MO Tulsa, OK

5. How long is the trip to St Louis in minutes?

Time 1 d, 18 h, 30 min 1 d, 5 h, 25 min 18 h, 50 min

6. How long does it take to get to Sacramento in hours and minutes?

7. Does the trip to Tulsa take more than one day? Explain.

Grade 5

31

Chapter 11

Chapter Resources

11–5

Name

Date

Problem-Solving Practice Elapsed Time

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Find each elapsed time. 1. Heather finished her piano lesson at 4:30 P.M. Shelby finished her violin lesson at 6:45 P.M. How many minutes early did Heather’s lesson finish?

2. Connie started cleaning her room at 11:30 A.M. She finished cleaning 58 minutes later. At what time did she finish cleaning her room?

3. Rita left school at 3:35 P.M. and arrived at the library at 4:29 P.M. How many minutes did it take Rita to get to the library?

4. Jeremy and his family arrived at the restaurant at 5:00 P.M. They left the restaurant at 6:48 P.M. How long were they at the restaurant?

5. Raul arrived at his grandparents house for a visit at 7:30 P.M. Raul spent the night and left their house in the morning at 11:30 A.M. How many hours did Raul spend at his grandparents house?

6. Derek arrives at school at 8:30 A.M. Derek is in class until 11:30 A.M. After 1 hour for recess and lunch, Derek is in class until 4:30 P.M. How many hours does Derek spend in class each day?

Grade 5

41

Chapter 11

Chapter Resources

11–7

Name

Date

Problem-Solving Practice Units of Length

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Solve. 1. Hiroko measured the length of his math book. Which metric unit of length is most appropriate for measuring the book?

2. Ronald rode his biycle around the block in his neighborhood. He then measured the total distance. Which metric unit of length is most appropriate for measuring this distance?

3. Hanna wants to find out whether her garage is long enough for a car if she puts a workbench in front of the car. She measured the length of her car in centimeters. Will the number be large or small?

4. Tony lives in Cleveland, Ohio, and his brother lives in Richmond, Virginia. Why would he not want to measure the distance between the two cities using millimeters?

What would be the best metric unit of length for him to use?

What metric unit of length is more appropriate?

6. Alison wants to use part of her hand as a measuring device. Why would the width of her pinky finger give an approximate length in centimeters but could not be used as an accurate measurement?

5. In science class, Pilar measured the distance a toy car traveled after rolling down a small ramp. She also measured the time it took for the car to stop. When she used her data to calculate the speed of the toy car, the speed was in units of meters per second. Why would the speed not be measured in kilometers per hour, as it would be for an actual car?

Grade 5

11

Chapter 12

Chapter Resources

12–1

Name

Date

Problem-Solving Practice Units of Mass 2. Ruth wanted to make a recipe from a German cookbook. All the measurements given were metric. Her kitchen scale is metric, so she could use it to find masses of ingredients. Because the scale is designed to find masses of recipe ingredients, what metric mass unit was used on the scale?

Solve.

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

1. Daniel found the mass of five gallons of water. What metric mass unit would be the best for him to use?

3. Luis had a balance that measures mass in kilograms and another balance that measures mass in grams. He wants to find the mass of a textbook, an apple, his watch, a bag of oranges, and a bank full of coins. For which of the items should he find the mass in kilograms?

4. Andrew found the mass of several different items. The sandwich in his lunch had a mass of 379 grams. The picture of his brother had a mass of 745 milligrams. His kitten had a mass of 2.3 kilograms. Which item has the greatest mass?

For which items should he find the mass in grams?

6. Jacob wanted to measure the mass of a stack of 5 books. His metric scale can weigh items up to 1,000 grams. Will Jacob be able to find the mass of the books? Why or why not?

5. Karen wanted to find the mass of 100 sheets of paper. Should she use kilograms, grams, or milligrams? Explain.

Grade 5

21

Chapter 12

Chapter Resources

12–3

Name

12–4

Name

Date

Problem-Solving Practice Units of Capacity

Solve. 2. Janet’s baby, Steven, drinks six bottles of baby formula each day. Each bottle contains 50 milliliters. What volume in liters does Steven drink every day?

3. Hannah received a measles immunization at Dr. Arroyo’s office. The vaccine was measured in cubic centimeters. A cubic centimeter has the same capacity as a milliliter. If the immunization was 3.5 cubic centimeters, how many milliliters was it?

4. Matt made punch for a party. The recipe called for 2 liters of citrus soda, 1 liter of orange juice, and 375 mL of sherbet. He also made an ice ring that used 1.5 liters of fruit juice. How large will the punch bowl need to be to contain all the punch? Give the volume in liters.

5. Throughout the day, Peter drank 2,570 mL of water. How many liters did he drink?

6. Lila’s class drank a lot of juice at the party. Was the volume of the juice more likely 75 mL or 75 L?

7. A soup bowl can hold about 400 milliliters of soup. A restaurant has 8 liters of vegetable soup. How many bowls of soup can they serve?

8. Kate bought her mother a vase for a present. Is the volume of the vase more likely to be 800 mL or 80 L?

Grade 5

26

Chapter 12

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

1. Jonah wanted to measure the capacity of his favorite cocoa mug. Should he measure it in milliliters or in liters?

Date

Problem-Solving Practice Integers and Graphing on Number Lines

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Solve. 1. Frederico located -8 on a number line. Marge located the opposite. What number did Marge locate?

2. Valerie lives in a small community in California. The elevation of this community is 300 feet below sea level. Write an integer to represent this elevation.

3. Lan keeps temperature records for the weather station at her school. She recorded a low temperature of 15°F on Monday. Write an integer to represent this situation. Then write its opposite.

4. On the first play, a football team moved the ball - 6 yards. On the next play, the team moved the ball 6 yards forward. Write an integer to represent each situation. What do you notice about two integers?

5. Adam earned $45 at an after-school job. He received an allowance of $10. He went to the store with his mother and wanted to purchase a CD player for $60. He did not have enough money, so his mother loaned him enough to make his purchase. He will pay her back. Write an integer to represent the amount of money Adam had to borrow.

6. The low temperature on Saturday was 5°F. The low temperature on Sunday was the opposite of the low temperature on Saturday. Write an integer to represent the low temperature on Sunday.

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Chapter 12

Chapter Resources

12–5

Name

12–6

Name

Date

Problem-Solving Practice Units of Temperature

Solve.

2. Samantha baked potatoes at 400°F. She then had to reduce the temperture of the oven to bake a cake at 350°F. Write an integer to represent the change in temperature.

3. Regina will swim when the temperature is between 75°F and 95°F. Write an integer to represent the change from 75°F to 95°F.

4. Is the normal body temperature of a person about 100°F or 100°C? Explain.

5. In science class, Amir measured the temperature of a warm liquid to be 74°C. The liquid was allowed to sit at room temperature for 15 minutes. After that time, he found the temperature to be 40°C. Write an integer to represent the change in temperature.

6. In the morning the temperature was 55°F. By noon, the temperature was 72°F. Write an integer to represent the change in temperature.

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Chapter 12

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

1. Is 165°C or 165°F a more reasonable temperature to bake a cake?

13–1

Name

Date

Problem-Solving Practice Chapter Resources

Geometry Vocabulary Use the figure below to determine if each pair of lines is parallel, intersecting, or perpendicular. Choose the most specific term.

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

−− −− 1. ST and UV

S

U

T

V

−− −− 2. SU and UV

−− −− 3. TV and UV

−− 4. Draw a line parallel to SU.

5. What lines will be perpendicular to your new line?

6. Sit in a chair with your feet flat on the floor. What angle does your lower leg form with your upper leg? Is your lower leg perpendicular or parallel to the floor?

Grade 5

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Chapter 13

Date

Problem-Solving Practice Triangles

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Solve. (Hint: The sum of the measures of the angles of a triangle is 180º.) 1. Kendall found that two angles of a triangle were 68° and 86°. What is the measure of the third angle? What type of triangle is it?

2. Tomeka measured the angles of a triangle and found two of them to be 38° and 52°. What is the measure of the third angle? What type of triangle is it?

3. Martin hit a softball from home plate to center field. The center-fielder threw the ball to the first-base person, who threw it back to home plate. What type of triangle did the path of the ball form? Draw a diagram of a softball diamond to help you.

4. Steve has three lengths of fence. He connects them to make a triangular pen for his dog. If the lengths are 5 meters, 6 meters, and 10 meters, what type of triangle is the dog pen?

5. Kate planned a trip using a road map. She will travel northeast from her house to a city that is 240 miles away. Then she will drive southeast to visit her uncle. On the way from the city to her uncle’s house, she will stop at a store 125 miles from the city and then continue in a straight line to her uncle’s house, which is 115 miles from the store. Then, she will travel west to go home from her uncle’s house. On her way home, she will stop at a state park that is 45 miles from her uncle’s house and 195 miles from her house. Assuming she travels in a direct and straight path, what type of triangle is formed by her path?

6. Miguel has a ladder with legs of equal length. He opened the ladder and placed it on the floor. Classify the type of triangle formed by the ladder and the floor according to its sides. Next, classify the type of triangle formed by the ladder and the floor according to its angles.

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Chapter 13

Chapter Resources

13–3

Name

13–4

Name

Date

Problem-Solving Practice Quadrilaterals

Solve. (Hint: The sum of the measures of the angles of a quadrilateral is 360º.) 1. Linda drew a quadrilateral with angles of 90°, 42°, and 135°. What is the measure of the remaining angle?

2. Natasha’s yard is a square. If one side of her yard is 55 feet, what is the perimeter of her yard?

3. Luisa creates her art project in the shape of a rhombus. If she measures two of the angles and they are 50° and 130°, what must the other two angles measure?

4. Tim has a disagreement with his friend, Jan. Jan’s yard is 20 meters long and 20 meters wide. Tim’s yard is 40 meters wide and 10 meters long. Both yards contain only right angles. Tim says that his yard is both a rectangle and a square. Jan says the same thing about her yard. Who is correct? Explain your answer.

5. Tomoko made a kite for a trip to the

6. Refer to Exercise 5. Tomoko is going to ship the kite. She can only ship it in a rectangular box. If the model of the kite was made on graph paper with squares that were 1 centimeter on a side, and the actual kite was 10 times the size of the model, what are the lengths of the sides of the rectangular box she must use?

Grade 5

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Chapter 13

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

beach. She sketched a model of the kite on a piece of graph paper first. The points forming the vertices of the kite were (0, 9), (4, 13), (8, 9), and (4, 0). Was the kite in the shape of any special quadrilaterals? Explain your answer. Graph the points to help you solve.

13–6

Name

Date

Problem-Solving Practice Translations and Graphs 2. An artist has drawn a triangle on a canvas at coordinates (2, 1), (4, 2), and (6, 7). If the artist wants to move the triangle 4 units left and 3 units up, will it fit on the canvas?

3. A picture frame hangs on a wall at coordinates (6, 4), (6, 8), (8, 8), and (8, 4). It is being moved 5 units left and 1 unit up. What are its new coordinates?

4. A triangular rug was positioned at coordinates (0, 0), (2, 3), and (4, 0). It slid across the floor to new coordinates at (1, 2), (3, 5), and (5, 2). Describe the translation.

5. Mae wants to slide her rectangular desk from one corner of her bedroom to the other. If both corners have 90º angles, will the translated figure fit into the new corner? Explain.

6. A triangle with vertices described in the table is being moved. The new coordinates of two of the vertices are (4, 4) and (6, 8). What are the new coordinates for the third vertex? Vertex 1 Coordinates (2, 3)

Grade 5

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2 (4, 7)

3 (6, 1)

Chapter 13

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

1. A tennis court has corners at coordinates (2, 5), (10, 5), (2, 11), and (10, 11). It is being moved 2 units down. What are the new coordinates of the tennis court?

Date

Problem-Solving Practice

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Reflections and Graphs 1. Name 5 capital letters that look the same after being reflected across a vertical line.

2. Salma graphed a reflection of a triangle. A vertex of the triangle was located at (6, 2). The corresponding vertex in the reflection was located at (6, 6). Was the line of reflection horizontal or vertical?

3. Henry is graphing a reflection of a figure. If a vertex of the figure is at (7, 4) and its corresponding vertex in the graphed reflection is at (3, 4), how many units are there between each vertex and the line of symmetry?

4. The coordinates of a square are (0, 0), (0, 2), (2, 2), and (2, 0). The square is moved and its new coordinates are (4, 0), (4, 2), (6, 2), and (6, 0). Was the square’s movement a translation or a reflection? Explain.

5. A figure has vertices (3, 2), (5, 1), (4, 3), (6, 5), (4, 5), and (3, 7). It is reflected across a vertical line with a coordinate at (3, 0). What is the resulting shape of the figure with its reflection?

6. Name 3 lowercase letters that look the same after being reflected across a horizontal line.

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Chapter 13

Chapter Resources

13–7

Name

13–8

Name

Date

Problem-Solving Practice Rotations and Graphs 2. A rectangular sign hanging on a door became loose and rotated. The vertex at (6, 8) became (2, 4) after the sign moved. The vertex at (6, 4) remained the same. Describe the rotation made by the sign.

3. Describe the transformation of the figure below.

4. Is the figure below a rotation? Why or why not?

5. Kate went on a hike in the woods. The arrow on her compass pointed northeast. When Kate made a right turn on the trail, the compass pointed southeast. Describe the arrow’s transformation.

6. Name 3 capital letters that look the same or like another letter after being rotated 90° clockwise.

Grade 5

46

Chapter 13

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

1. Name 3 capital letters that look the same after being rotated 180° clockwise.

Date

Problem-Solving Practice

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Identity Transformations 1. Marisa drew a triangle on a graph by using the points (1, 4), (3, 5) (0, 7). She then flipped the triangle across the line that runs from (1, 4) to (3, 5). What type of transformation did she perform?

2. Antonia helped create a playground by painting each section of the merry-goround a different color. As the merrygo-round turned, she watched the red section revolving around the center point. What type of transformation was she watching?

3. Howard made a design on his wall by using blue and green congruent triangles. If he forms the pattern by just moving a stencil of the triangle along the wall and painting in the open area, what type of transformation did he do?

4. Jon drew a triangle on a graph by using the points (1, 6), (5, 4) (5, 8). He then flipped the triangle across the line that runs from (5, 4) to (5, 8). What type of transformation did he perform?

Where is the third vertex of the graph located now?

6. Oliver examines two triangles. One triangle has vertices at the points (0, 6), (1, 10), and (2, 6). The other triangle has its vertices at (4, 6), (5, 2), and (6, 6). What two types of transformations were done to the first triangle to create the second one?

5. Samantha has a dog that loves to chase flying disks. To keep her disk separate from other disks, Samantha painted a triangle on it, with one point of the triangle in the center of the disk. As she throws the disk for the dog, what two transformations does the triangle undergo?

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Chapter 13

Chapter Resources

13–9

Name

Date

Problem-Solving Practice Perimeters of Polygons

Solve. 2. Johanna has a garden that is in the shape of a regular pentagon. Each side of the pentagon is 7 ft long. She decides to place a small, decorative wood fence around the perimeter. The fencing is sold in boxes of 5 pieces. Each piece has a length of 18 in. How many boxes of fencing will Johanna need to buy?

1. Hannah wants to create a fenced enclosure for her dog. To figure out how much fencing she needs, Hannah made a drawing of the enclosure. 5m

5m

How much fencing will she need?

4. Tara has a rectangular garden that is 10 ft long and 4 ft wide. She wants to put a small fence around it. If fencing costs $1.50 per ft, how much will the fence cost?

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

3. A rectangular driveway is 40 ft long and 14 ft wide. What is the perimeter of the driveway?

5. Vincent is designing a rectangular garden. The outside of the garden will measure 12 ft long and 5 ft wide. He plans to use tiles around the inside edge of the border. The tiles are squares, and each side measures 1 ft. After placing the tiles, Vincent will put a small fence around the inside, against the tiles. How many feet of fencing does he need?

Grade 5

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Chapter 14

Chapter Resources

14–1

Name

14–2

Name

Date

Problem-Solving Practice Area

Solve. Use grid paper. 2. Denzel is toasting 4 bagels and 2 slices of bread. Each bagel is 4 inches in diameter. Each slice of bread has an area of 9 square inches. If the toaster oven rack is 8 inches by 11 inches, can he toast all the bagels and bread at the same time?

3. Pablo has 64 ft of fencing to enclose an area of his yard for a garden. Use grid paper to sketch different ways the fencing can exactly enclose an area. Determine the area of each and find out how he can use the 64 ft of fencing so that the garden will be the greatest area possible.

4. Regina needs to make a stop sign out of cardboard for the school play. She uses grid paper and a ruler to make a model of the sign. It is in the shape of an octagon. Each horizontal or vertical line equals three units on the grid. Each diagonal line goes diagonally across two units. Sketch the figure on grid paper. How many squares on the grid are included in the sign? squares If each unit on the grid equals 4 in., how many square inches of cardboard will Regina need for the sign?

6. Mai used grid paper to draw plans for a dog pen. She connected the following points in order: (1, 0), (1, 5), (4, 5), (4, 2), (6, 2), (6, 0), and (1, 0). The side of each square on the grid paper represents 2 ft of the dog pen. If Steve is covering the ground in Mai’s dog pen with straw, how many square feet will he need to cover?

5. Mabel was helping her mother tile the kitchen floor. The size of the kitchen is 7 feet by 12 feet. The counters are 2 feet deep and run along the floor of one of the shorter walls. The refrigerator takes up another 6 square feet of floor space. If each tile is a 6-inch square, how many tiles are needed for the kitchen floor?

Grade 5

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Chapter 14

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

1. Dan has a kitchen countertop that runs the length of a 10-ft room and continues for 6 ft along another wall. The countertop is 2 ft wide. What is the area of the countertop?

Date

Problem-Solving Practice Areas of Rectangles

Solve. 1. Felicia wants to clean the rug in her room. She buys carpet cleaner that will clean 40 ft2. Find the area of her rug. Will she have enough carpet cleaner?

2. Lori wants to buy a flower mat that has seeds and fertilizer in it for her garden. She made a diagram of her garden. What is the area of the flower mat that she needs?

6 ft

9 ft

6 ft

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

5 ft

3. The playing area of a college’s football field measures 100 yd by 53 yd wide. How much area does the football team have to play on?

4. Mr. and Mrs. Wilkes want to make a patio in their yard. The patio will be 15 ft long and 10 ft wide. Each patio stone covers 1 square ft and costs $2. How much will they spend on patio tiles?

5. You have 100 ft of fencing to make a pen for your dog. You want your dog to have the biggest play area possible. What shape would you make the pen?

6. The Carsons are putting a rectangular swimming pool in their backyard. The pool will measure 20 ft by 12 ft. They plan to have a cement walkway around the pool, which should measure 4 ft wide. What is the area of the walkway?

Grade 5

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Chapter 14

Chapter Resources

14–3

Name

14–4

Name

Date

Problem-Solving Practice Geometry: Three-Dimensional Figures

Solve. 1. Ricardo made a simple drawing of his house. It is a polyhedron with 6 faces. Four faces are rectangular, and 2 are square. What kind of figure is it?

2. Diane bought a can of soda. What kind of figure is the can?

3. Gary is playing a board game. When it is his turn, he tosses a kind of polyhedron that is used in many board games. What kind of polyhedron is it?

4. When Ben bought a poster, the salesperson placed it in a tube to protect it. What kind of shape is the tube?

How many faces, edges, and vertices does it have?

If the tube is slit down its side and laid flat, what shape would it make?

Grade 5

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Chapter 14

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

6. What kind of shape is a funnel? Describe the number of faces and vertices it has.

5. Describe the shape of a rectangular pyramid. How does it compare to a triangular prism?

14–6

Name

Date

Problem-Solving Practice Volume of Prisms

Solve. 2. How many cubic inches are in a cubic foot?

1. Find the volume of the chest.

2 ft

2 ft

How many cubic feet are in a cubic yard?

4 ft

4. Myra is baking a cake in a pan that measures 9 in. by 13 in. by 2 in. How many cubic inches of cake will the pan hold?

5. To save money, a local shipping company wants to purchase packing peanuts in bulk. The plant manager built a storage container that is 4 yds long, 10 yds wide, and 2 yds tall to store the peanuts. If the manager purchases bags that contain 7 ft 3 of peanuts, how many bags of peanuts will it take to fill the container?

6. Paul is shopping for a refrigerator. He needs to compare the sizes and volumes to decide which refrigerator to buy. He needs a refrigerator with the dimensions shown below in order to fit in his kitchen. Find the volume of the refrigerator.

6 ft

2 ft 2 ft

Grade 5

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Chapter 14

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

3. The Donaldson’s swimming pool measures 15 m long, 8 m wide, and 3 m deep. How many cubic meters of water will the pool hold?

Date

Problem-Solving Practice Surface Areas of Prisms

Solve. 2. Jose is moving to a new house and has several packing boxes that are 2 ft by 2 ft by 3 ft. What is the surface area of each box?

1. Dylan has a toy box he wants to paint. He needs to find the surface area of the box in order to determine how much paint to buy. What is the surface area of the toy box?

2 ft

4 ft

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

3 ft

3. Julia has a music box that she wants to cover with fabric. How many square inches of fabric will she need to cover the music box?

4. Lenny builds kitchen cabinets that measure 3 ft tall, 1.5 ft long, and 2 ft deep. What is the surface area of each cabinet?

4 in. 6 in. 5 in.

6. Lenny installs two of his cabinets, side-by-side on a wall, attached to the ceiling. What is the surface area of the exposed faces?

5. Lenny installs one of his cabinets from Problem 4 in a corner, attached to the ceiling. What is the surface area of the exposed faces?

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Chapter 14

Chapter Resources

14–7

Name

14–8

Name

Date

Problem-Solving Practice Select Appropriate Measurement Formulas

Solve. 2. Nolan measured the 4 sides of his garden. His garden is 20 ft long and 10 ft wide. How much garden fencing will he need to place around his garden? Did you use area or perimeter to find your answer?

3. Bobby measures a room that is 9 ft wide and 15 ft long. He needs to decide how much carpet to buy. How many square feet of carpeting does he need?

4. Nan wants to fill a canister with raisins. Would she need to find the area, perimeter, or volume of the canister to determine the amount of raisins that will fit?

5. Reggie is planting vegetables in a rectangular garden. The space measures 12 ft by 5 ft. He figured out how many feet of fencing he would need to go around the garden. He then decides to double the area. Reggie digs another rectangle with the same measurements next to the first garden. To find the new length of fencing needed, he multiplied the first measurement by 2. Is this correct? Why?

6. Leah and Alison have bedrooms with the same area, but different dimensions. Leah’s bedroom measures 9 ft wide, and has a length 7 ft longer than the width. What are the possible dimensions of Alison’s bedroom? What is the difference between the perimeters of the 2 bedrooms?

Grade 5

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Chapter 14

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

1. Rita measured her living room floor to determine how many 12 in. by 12 in. tiles she needs to buy. Should she find the area or perimeter of the floor?

Date

Problem-Solving Practice Probability

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Solve. 1. Jennifer tosses a number cube. How many possible outcomes are there?

2. Martino has a game spinner that has six equal sections. Three sections are red, two are yellow, and one is blue. What is the most likely outcome of a spin on the spinner?

3. Leigh Ann has a new game in which she tosses a colored cube. The cube is blue on 2 sides, red on 2 sides, and white on 2 sides. If she tosses the cube 40 times, which color should she expect to roll the most? Explain.

4. Ben attends band practice Monday through Friday. If he closes his eyes and touches his finger on a calendar day, is he more likely to touch a day he attends band practice or a day he does not? Explain.

5. Gene has a spinner that has 8 equal sections. There are 4 red sections, 2 blue sections, 1 yellow section, and 1 green section. Is Gene likely to have the spinner land on a red section or a non-red section?

6. Rachel’s language arts book contains 28 poems, 16 short stories, and 6 longer stories. She opened the book at random 50 times and recorded what she saw. Because there are more poems than stories, she expected the poems to be the most likely result. What is wrong with her reasoning?

Grade 5

11

Chapter 15

Chapter Resources

15–1

Name

15–2

Name

Date

Problem-Solving Practice Probability as a Fraction

Solve.

2. What is the probability that Adrian will roll the number 7 on a number cube?

3. Wayne went to a banquet. At the end of the meal, equal numbers of pieces of blueberry, apple, and cherry pie were passed out randomly to the dinner guests. What is the probability that Wayne will receive apple pie? What is the probability that he will receive either apple or cherry pie?

4. Lavonne’s mother has brown eyes, and her father has blue eyes. Lavonne has brown eyes, and her husband has blue eyes. She knows that her children are equally likely to have brown or blue eyes. What is the probability that her first child will have blue eyes? If her first child has brown eyes, what is the probability that the second child will have blue eyes?

5. Sara has a spinner divided into 12 sections. Each section is numbered, starting with 1 and ending with 12. Sara spins the spinner. What is the probability that she will spin a prime number? What is the probability that she will spin an odd number? What is the probability that she will spin a number divisible by 5? What is the probability that she will spin a multiple of 3? What is the probability that she will spin a multiple of 4 or 5?

6. Eduardo cleaned out his school locker. At the bottom of the locker, he found 5 pencils with erasers, 1 pencil missing its eraser, 2 red pens, 3 black pens, and 4 blue pens. He placed all these items in a box and mixed them up. If he closes his eyes and picks one item out of the box, what is the probability that it is a pencil? What is the probability that it is a pen? What is the probability that it is a pencil with an eraser or a black pen?

Grade 5

16

Chapter 15

Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

1. What is the probability that Lindy will roll a number divisible by 3 on a number cube?

Name

15–4

Date

Problem-Solving Practice Counting Outcomes

Use the spinners below for Exercises 1–5. Draw a tree diagram for each exercise and tell the outcomes that are possible. Spin them only once.

6

1

5

2 4

A

B

3

1. How many outcomes are possible for spinning both spinners?

2. probability of spinning a 1 and an A Copyright © Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

3. probability of spinning an even number and a consonant

4. probability of not spinning a 3 and spinning a vowel

5. probability of spinning a 1 or 6 and an A

Grade 5

26

Chapter 15

Math Problem Solving Worksheet.pdf

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