Midterm Common Assessment Review Packet

Your math midterm for February 5th and 6th will cover EVERYTHING we have completed this year to date. This includes: Domain 5.NBT - Number and Operations in Base Ten Understand the place value system. 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left. 5.NBT.2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. 5.NBT.3 Read, write, and compare decimals to thousandths. 5.NBT.3.a Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000). 5.NBT.3.b Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons. 5.NBT.4 Use place value understanding to round decimals to any place. Perform operations with multi-digit whole numbers and with decimals to hundredths. 5.NBT.5 Fluently multiply multi-digit whole numbers using the standard algorithm. 5.NBT.6 Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. 5.NBT.7 Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.

Domain 5.MD - Measurement and Data Convert like measurement units within a given measurement system.

5.MD.1 Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems. NOT ON MIDTERM, BUT WAS COVERED, STUDENTS SHOULD BE FAMILIAR WITH CONVERSIONS. MANY ARE NOT ON PARCC REFERENCE SHEET!!!! MEANING STUDENTS NEED TO MEMORIZE BASIC CONVERSIONS! Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition. 5.MD.3 Recognize volume as an attribute of solid figures and understand concepts of volume measurement. 5.MD.3.a A cube with side length 1 unit, called a “unit cube,” is said to have “one cubic unit” of volume, and can be used to measure volume. 5.MD.3.b A solid figure which can be packed without gaps or overlaps using nunit cubes is said to have a volume of n cubic units. 5.MD.4 Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units. 5.MD.5 Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume.

Domain 5.NF - Number and Operations - Fractions Use equivalent fractions as a strategy to add and subtract fractions. 5.NF.1 Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12. (In general, a/b + c/d = (ad + bc)/bd.) 5.NF.2 Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7, by observing that 3/7 < 1/2. Please Use Think Central and/or your Go Math books to help prepare yourself for the Midterm assessment. The following Chapters are ones we have covered that cover these concepts. --Place Value—Chapter 1 --Decimal Place Value—Chapter 3 --Multiplication & Division of Whole Numbers—Chapter 1 & 2 --Comparing, Ordering, & Rounding Decimals—Chapter 3 --Addition, Subtraction, Multiplication & Division of Decimals—Chapters 3, 4 & 5 --Calculate & Solve Problems for the Volume of Rectangular Prisms— Chapter 11 --Add & Subtract Fractions & Mixed Numbers w/ Unlike Denominators—Chapter 6

HERE ARE SOME REVIEW PROBLEMS FROM EACH STANDARD TO HELP YOU PREPARE FOR THE ASSESSMENT! NBT.1 A math workbook contains 50 pages. The number of problems in the book is 10 times as many as the number of pages. How many problems are in the math workbook?

Cara has saved $4,000 to buy a car. Rick wants to buy a new television set. He has saved 1/10 as much as Cara. How much has Rick saved?

Riva lives 300 miles from her grandparents. George lives 10 times that distance from his grandparents. How many miles does George live from his grandparents?

The Davis family pays $200,000 for a new house. They make a down payment that is 1/10 of the price of the house. How much is the down payment?

Joshua earns $60,000 a year at his job. He is getting a raise that is 1/10 of the amount he earns now. Joshua says that his new salary will be $60,6000. Do you agree? Support your answer.

A publisher reports that it sold 2,419,386 children’s magazines. What is the value of the digit 2 in 2,419,386?

The diameter of Saturn at its equator is about 120,540,000 meters. What is 120,540,000 written in word form?

A printing company used 1,896,432 sheets of tag board last year. What is the value of the digit 8 in 1,896,432? A company manufactured forty-eight million, seven hundred fifty thousand toothpicks last month. What is this number written in standard form?

Rayna lives in Fulton, which has a population of 260,980 people. Rayna wrote 260,980 as (2 x 100,000) + (6 x 10,000) + (9 x 1,000) + (8 x 100). What error did Rayna make? Write the correct expanded form.

A calculator is 0.07 meter wide. Sam made a model that was 1/10 the size of the actual calculator. How wide was Sam’s model?

A word in a book is 0.009 meter long. Kai looked at the word with a lens that made it look 10 times as large as the actual word. How long did the word look?

What is the relationship between 0.008 and 0.08?

A jeweler used 0.5 ounce of gold to make a necklace. He used 1/10 as much gold in an earring. Explain how to use place-value patterns to find how much gold the jeweler used in the earring.

NBT.2 A Coast Guard ships is responsible for searching an area that is 5,000 as a whole number multiplied by a power of ten?

Martin is going mountain climbing at Snowmass Mountain in Colorado. He looked up the height of the mountain and found it to be about 14 x 103 feet high. What is the height of Snowmass Mountain written as a whole number?

Patel hopes to be one of the first fans to get into the stadium for the baseball game because the first 30,000 fans will receive a baseball cap. Which shows 30,000 as a whole number multiplied by a power of ten?

Trisha is writing a report about Guam for Social Studies. She looked up the population of Guam and found it to be about 18 x 104. What is the population of Guam written as a whole number?

5. June wrote an essay on saving energy for a contest. She won a $5,000 scholarship. Explain how June can write $5,000 as a whole number multiplied by a power of ten in two different ways. A country music concert will be held at a local park. The promoters have already sold 3,000 concert tickets. Each ticket costs $20. How much money have the promoters already collected?

Clinton decided to buy 300 shares of stock in an electronics company. Each share costs $60. Which of the following could he use to find the total amount he will pay for the stock?

Sam is using a microscope to look at a plant specimen 4 x 102 times. If the specimen is 3 centimeters long, how long will the magnified specimen appear to be?

So far the fifth-grade students at Silver Run Elementary School have raised $200 toward their class trip. How much money do the fifth-grade students need to raise in all?

The Yukon River in British Columbia is about 4 times as long as the Osage River in Kansas. If the Osage River is 5 x 10 2 miles long, about how long is the Yukon River? Explain how you found your answer.

Ganesh is making a scale model of the Space Needle in Seattle, Washington, for a report on the state of Washington. The Space Needle is 605 feet tall. If the model is 1/100 of the actual size of the Space Needle, how tall is the model?

Madison needs to buy enough meat to make 1,000 hamburgers for the company picnic. Each hamburger will weigh 0.25 pound. How many pounds of hamburger meat should Madison buy?

Kareem was doing research for a report about the longest rivers on Earth. He read that the Nile River is 4.16 x 103 miles long. How should Kareem write the length of the Nile River in standard form on his report?

The school store expects to sell a lot of sweatshirts because the football team won the championship. The store ordered 100 sweatshirts. Each sweatshirt cost $8.95. How much did the order of sweatshirts cost the store?

Nathan put 0.35 quart of concentrated liquid cleaner in a bucket. Then he put 10 times that amount of water in the bucket. Nathan says he added 35 quarts of water to the bucket. Do you agree? Support your answer.

Lori is running a marathon, which is 26.2 miles long. So far, she has run one-tenth of the marathon. How far has Lori run? A school bought 1,000 erasers as part of an order for supplies. The total cost of the erasers was $30. What was the cost of 1 eraser?

Tanya baked 100 cupcakes one morning in a bakery. She used 64 ounces of frosting to decorate the cupcakes. If each cupcake had the same amount of frosting, how much frosting did Tanya put on each cupcake?

A counselor at Sleepy Hollow Camp has 225 yards of lanyard to give to 100 campers to make lanyard key chains. Each camper will get the same amount of lanyard. How much lanyard will each camper get?

Thomas paid $50 for a box of multicolor file folders for his office. There were 100 folders in the box. He said that the cost of each folder was $0.05. Do you agree? Support your answer.

NBT.3a A scientist measured a grain of sand. It had a diameter of 0.049 millimeter. What is 0.049 written in word form?

The diamond in Alma’s necklace weighs 0.258 carat. What digit is in the hundredths place of 0.258?

The mass of an art is about 0.003 gram. What is the value of the digit 3 in 0.003?

A penny has a diameter of 0.019 meter. What is 0.019 written in word form?

Zeke wrote the number six and fifty-eight thousandths as 6.58. Describe Zeke’s error and tell how you would correct it.

Joe’s batting average is 0.264. What digit is 0.264 is in the hundredths place?

The vet gave Eliana’s dog 0.004 liter of medicine. What is the value of the digit 4 in 0.004?

NBT.3b Harry kept a record of how far he ran each day last week. On which day did Harry run the greatest number of miles? Day Distance (in miles) Monday 4.5 Tuesday 3.9 Wednesday 4.25 Thursday 3.75 Friday 4.2

The table shows the fastest times for the 100-meter hurdles event. Who has the fastest time? Name Time (in seconds) Shakira 15.45 Jameel 15.09 Lindsay 15.6 Nicholas 15.3

The four highest scores on the floor exercise at a gymnastics meet were 9.675, 9.25, 9.325, and 9.5. Which shows the order of the scores from least to greatest? a. 9.5, 9.25, 9.325, 9.675 c. 9.675, 9.5, 9.325, 9.25 b. 9.25, 9.5, 9.325, 9.675 d. 9.25, 9.325, 9.5, 9.675 e. f. Mary Ann Kept a record of how long she practiced the piano each week for a month. During which week did Mary Ann practice the greatest amount of time? g. Week h. Hours practiced i. Week 1 j. 4.75 k. Week 2 l. 4.5 m. Week 3 n. 5.1 o. Week 4 p. 5.75 q. r. In a balance beam event, Eva scored 9.375 points and Yuko scored 9.325 points. How should Eva and Yuko compare their scores to find who had the greater score? Explain your answer. s. t. The table lists the top four times for the 50-yard freestyle at a swim meet. Who had the fastest time? u. Name v. Time (in seconds) w. Tori x. 23.59 y. Skylar z. 23.05 aa. Courtney ab. 23.6 ac. Simone ad. 23.26 ae. af. The four highest scores on the balance beam at a gymnastics meet were 9.65, 9.325, 9.575, and 9.2. Write the scores in order from least to greatest. ag. ah. NBT.4 ai. It takes the dwarf planet Pluto 247.68 years to revolve once around the sun. What is 257.68 years rounded to the nearest whole number of years? aj. ak. The flagpole in front of Silver Pines Elementary School is 18.375 rounded to the nearest tenth? al. am. Michelle records the value of one Euro in U.S. dollars each day for her social studies project. The table shows the data she has recorded so far. On which day does the value of 1 Euro round to $1.46 to the nearest hundredths? an. Day ao. Value of 1 Euro (In U.S. dollars) ap. Monday aq. 1.448 ar. Tuesday as. 1.443 at. Wednesday au. 1.452 av. Thursday aw.1.458 ax. ay. Jackie found a rock that has a mass of 78.852 grams. What is the mass of the rock rounded to the nearest tenth? az. ba. It takes the planet Neptune about 164.8 years to revolve once around the sun. What are the least and greatest numbers written in hundredths that could round to 164.8? Explain your answer. bb. bc. Trudy is going to London next summer. Each week, she records the value of one British pound in U.S. dollars. The table shows the data she ahs recorded so far. Which two weeks was the value of 1 British pound the same when rounded to the nearest hundredth of a dollar? bd. be. Value of 1 British Pound (In U.S. dollars) W

bf. bg. 1.598 1 bh. bi. 1.616 2 bj. bk. 1.634 3 bl. bm. 1.623 4 bn. bo. NBT.5 bp. There are 43 players on each football team in the state playoffs. How many players are there if there are 10 teams in the playoff? bq. br. There are 15 baseball teams in the city league. If there are 12 players on each team, how many players are there in the city league in all? bs. bt. Devora wrote the multiplication problem: 297 x 284 What is the product? bu. bv. A company bought 28 desks for each of its 17 offices. How many desks were bought altogether? bw. bx. A printer is printing a set of encyclopedias. The set has 104 books. Each books has 423 pages. How many pages are in the set in all? by. bz. Teachers are arranging chairs in the gymnasium for a special school presentation. If they are making 32 rows of 28 seats each, how many chairs are they arranging in all? ca. cb. A school is preparing to have 12 fifth-grade classrooms. If each classroom has a limit of 25 students, what is the maximum number of fifth graders this school can accommodate? cc. cd. Naveen saves $13 each week from his after-school job. How much does he save in 26 weeks? ce. cf. Each block in a city is 987 feet long. Barry walks to his friend’s house that is 11 blocks away. How many feet does Barry walk to get to his friend’s house? cg. ch. Sarah’s Handmade Housewares Company ordered 13 cartons of white plates did they order? ci. cj. For the holiday blockbuster movie premier, the Acme theater ran 16 showings for opening day. If each theater room holds 115 people and each showing was filled, how many people viewed the movie on the first day? ck. cl. Tonja likes to collect seashells. She keeps them in 27 jars that hold 21 seashells each. How many seashells does Tonja have in all? cm. cn. Kevin wrote the multiplication problem: 313 x 179 What is the product? co. cp. NBT.6 cq. Dory’s printer prints 24 pages of a document per hour. How many hours will it take Dory’s printer to print 384 pages of a document? cr. cs. Mr. Broward packs a shipping carton with 20 equal-sized bags of marbles. If Mr. Broward packs a total of 4,000 marbles in the shipping carton, how many marbles are there in each bag? ct. cu. Rosa planted 210 tomato seeds. She had 15 small pots for planting the seeds. If Rosa planted the same number of seeds in each pot, how many seeds did she plant in each pot? cv. cw.There were 663 students at sports camp. The students were divided into 39 teams of equal size for the camp tournament. How many students were there in each team? cx. cy. Based on the model, what is the quotient when 72 is divided by 6? cz. da. db. dc. dd. de. df. dg. dh. di. dj. dk. dl. dm. dn. do. dp. dq. dr. ds. dt. du. dv. dw. dx. dy. dz. ea. eb. ec. ed. ee. ef. eg. eh. ei. ej. ek. el. em. en. eo. ep. eq. er. es. et. eu. ev. ew. ex. ey. ez. fa. fb. fc. fd. fe. ff. fg. fh. fi. fj. fk. fl. fm. fn. fo. fp. fq. fr. fs. ft. fu. Angel used 805 tiles to make a project for his art class. First he drew 7 squares. Then he filled in each square with an equal number of tiles. How many tiles did Angel place in each square? fv. fw. For his after-school job, Doug painted 25 fence posts in 350 minutes. If it took Doug the same amount of time to paint each fence post, how many minutes did it take him to paint 1 fence post? fx. fy. A small baseball card manufacturer prints 9,900 baseball cards. It then puts the cards into packs of 12 cards each. How many packs of baseball cards does the manufacturer create? fz. ga. A developer purchases 1,628 acres of land. She splits it into equal-sized plots of 22 acres each. How many plots does the developer create? gb. gc. Dwayne works 14 hours per week at the veterinarian’s office. He worked 168 hours last year. How many weeks did Dwayne work last year? gd. ge. The machine at B&B Toy Company makes 1,045 mini-cars in one hour. The mini-cars are then packaged into boxes that hold 11 each. How many boxes of mini-cars does the company make in one hour? gf. gg. Halaina wrote the problems: 47 x 31 = 1,457 1,457 ÷ 47 = What is the quotient in Halaina’s problem? gh. gi. NBT.7 gj. Matthew buys a burrito for $4.38, a taco for $0.99, and a drink for $1.45 for lunch. What is the total price Matthew pays for lunch? gk. gl. In science class, Shelley finds that the mass of an empty box is 24.23 grams. She adds a cube to the box and measures the mass again. If the second reading is 27.61 grams, what is the mass of the cube? gm. gn. Dan wrote the division problem: 5.45 ÷ 0.5 What is the quotient? go. gp. Ryan walks 3.5 miles each morning. If he walks each day for 14 days, how far has Ryan walked in all? gq. gr. Edyn wrote the multiplication problem: 1.4 x 5.2 What is the product? gs. gt. Jenna finished first in a race with a time of 29.43 seconds. Maria came in second with a time of 30.22 seconds. What is the difference between Jenna’s time and Maria’s time? gu. gv. Diane is making a recipe that calls for 1.5 cups of flour. Because her children will not be home for diner, she halves the recipe. How much flour does Diane use? Create a model to answer this question. gw. gx. Elsa walks 2.14 miles to the store. Then she walks 0.23 mile to her friend’s house. What is the total distance that Elsa walks? gy. gz. Mr. Warren has made a lasagna noodle that is 17.45 centimeters long. He cuts off a piece of the noodle that is 3.23 centimeters long. How long is the large piece of noodle that is left? ha. hb. Jose is building a birdhouse from scraps of wood he found at his grandparents house. He has a piece of wood 18.75 inches long. If he cuts the piece into thirds, how long is each piece of wood? hc. hd. Maria is wrapping presents. She has one long piece of ribbon 87.5 inches long. She wants to have strips of ribbon 12.5 inches long for each package. How many strips of ribbon can she cut? he. hf. MD.1 hg. Joselyn’s cat weighed 1.5 pounds when she took him home from the shelter. In the past year the cat has gained 2.75 pounds. How many pounds does Joselyn’s cat weigh now? Make a model to help you find the answer. hh. hi. The lighthouse in Yokohama, Japan is known as the tallest in the world. It is 348 feet tall. How many yards tall is this lighthouse? hj. hk. The New York City Marathon is 26 miles, 385 yards. How many feet is this? hl. hm. Jessie walked 4 miles. How many feet did she walk? hn. ho. Fred has 8 yards of wood to cut. How many inches is that? hp. hq. Four friends each took a different path walking from the drinking fountain to the cypress tree. Who walked the farthest distance? hr. Rowan= 150 yards Janelle= 429 feet 8 inches hs. Domingo= 130 yards 2 feet Lydia 460 feet ht. hu. Afton made a chicken dish for dinner. She added a 10-ounce package of vegetables and a 14-ounce package of rice to 40 ounces of chicken. What was the total weight of the chicken dish in pounds? hv. hw. Janelle walks 429 feet 8 inches from the drinking fountain to the cypress tree. How far does she travel in inches? hx. hy. A recipe calls for 32 fluid ounces of heavy cream. How many 1-pint containers of heavy cream are needed to make the recipe? hz. ia. How many 1-cup servings can be poured from 1 gallon of milk? ib. ic. Sue is making punch. She needs 3 cups of orange juice and 6 pints of lemonade. How many fluid ounces of orange juice and how many quarts of lemonade does she need? id. ie. Tasha has a 40-gallon aquarium. If she uses a pint-size container to fill the aquarium, how many times will she have to fill the container to fill the aquarium? if. ig. Ralph is making orange juice. He needs 3 cups of orange juice. How many fluid ounces of orange juice does he need? ih. ii. Phillis is making punch. She needs 6 pints of lemonade. How many quarts of lemonade does she need? ij. ik. Isabel bought 3 bottles of liquid soap. Each bottle has 1 quart of soap in it. How many fluid ounces of liquid soap are in the 3 bottles that Isabel bought? il. im. Domingo walks 130 yards 2 feet from the drinking fountain to the cypress tree. How far does he travel in inches? in. io. Charlie’s puppy, Max, weighs 8 pounds. How many ounces does Max weigh? ip. iq. Jordan is 4 feet 8 inches tall. Her mother is 5 feet 10 inches tall. How much taller is Jordan’s mother than Jordan? ir. is. How much is 3 ½ pounds written as a combination of whole pounds and whole ounces? it. iu. Karla bought 2 pounds of red beads. 1 ¾ pounds of green beads, and 10 ounces of string at the craft store. How much do Karla’s supplies weigh in all? (Use both pounds and ounces.) iv. iw. An adult African elephant might weigh 5 tons. A baby elephant might weigh 250 pounds. How can you convert 250 pounds of tons? ix. iy. Marita orders 12 yards of material to make banners. If she needs 1 foot of fabric for each banner, how many banners can she make? iz. ja. Rosa made 12 gallons of lemonade to sell at a lemonade stand. How many pints of lemonade did she make? jb. jc. Rowan walks 150 yards from the drinking fountain to the cypress tree. How far does he travel in inches? jd. je. Christy bought an 8-foot piece of lumber to trim a bookshelf. Altogether, she needs 100 inches of lumber for the trim. Did Christy buy enough lumber? Explain. jf. jg. Samantha is making punch for her soccer team picnic. She uses 8 quarts of lemon-lime soda, 4 pints of vanilla ice cream, and 8 cups of orange juice. How many quarts of punch will she have? jh. ji. Mrs. Davis has 64 bottles of water. If each bottle holds 1 pint of water, how many gallons of water does Mrs. Davis have? jj. jk. Shelby made 5 quarts of juice for a picnic. How many cups of juice did Shelby make? jl. jm. Ebanoae’s fish tank holds 40 gallons. How many quarts does the fish tank hold? jn. jo. Louisa is making punch for her soccer team picnic. She uses 8 quarts of lemon-lime soda, 4 pints of vanilla ice cream, and 8 cups of orange juice. How many gallons of punch will she have? jp. jq. Monica is making punch for her soccer team picnic. She uses 8 quarts of lemon-lime soda, 4 pints of vanilla ice cream, and 8 cups of orange juice. How many quarts of orange juice does she use? jr. js. Sara can take no more than 22 pounds of luggage on a trip. Her suitcase weighs 112 ounces. How many more pounds can she pack without going over the limit? jt. ju. Mara has a can of paint with 3 cups of purple paint in it. She also has a bucket with a capacity of 26 fluid ounces. Will the bucket hold all of the paint Mara has? jv. jw. Mark filled 48 glasses with orange juice for a camp breakfast. If each glass holds 1 cup of juice, how many quarts of orange juice did Mark use? jx. jy. Sadie is making punch for her soccer team picnic. She uses 8 quarts of lemon-lime soda, 4 pints of vanilla ice cream, and 8 cups of orange juice. How many quarts of vanilla ice cream does she need? jz. ka. Brian filled 72 glasses with apple juice for a school party. If each glass holds 1 cup of juice, how many quarts of apple juice did Brian use? kb. kc. Mr. Fields ordered 3 tons of gravel for a driveway at a factory. How many pounds of gravel did he order? kd. ke. Paolo’s puppy weighed 11 pounds at the vet’s office. What is this weight in ounces? kf. kg. There are 20 guests at a party. The host has 8 gallons of punch. He estimates that each guest will drink 2 cups of punch. If his estimate is correct, how much punch will be left over at the end of the party? kh. ki. An adult African elephant might weigh 5 tons. A baby elephant might weigh 250 pounds. How many pounds does the adult elephant weigh? kj. kk. How many ounces of potatoes are in a 5-pound bag of potatoes? kl. km. Sarah uses a recipe to make 2 gallons of her favorite mixed-berry juice. The containers she plans to use to store the juice have a capacity of 1 pint. How many containers will Sarah need? kn. ko. Greg’s cat weighs 32 pounds 9 ounces. How many ounces in all does his cat weigh? kp. kq. The weight limit on a bridge is 5 tons. What is this weight in pounds? kr. ks. When Leah weighed her cat it was 8 pounds. How many ounces in all did the cat weigh? kt. ku. Darnell rented a moving truck. The weight of the empty truck was 7,860 pounds. When Darnell filled the truck with his items, it weighed 6 tons. What was the weight in pounds of the items that Darnell placed in the truck? kv. kw. Aaron bought 10 ounces of dried bananas, 20 ounces of raisins, and 18 ounces of nuts to make a trail mix. What is the total weight in pounds of the trail mix? kx. ky. Milton purchases a 5-gallon aquarium for his bedroom. To fill the aquarium with water, he uses a container with a capacity of 1 quart. How many times will Milton fill and empty the container before the aquarium is full? kz. la. The world’s heaviest lobster weighed 44 pounds, 6 ounces. How many ounces did the lobster weigh? lb. lc. Delia’s family car weighs 2 tons. How many ounces does the car weigh? ld. le. If you needed only 1 cup of milk, what is your best choice at the grocery store: lf. A quart container A pint container A ½ gallon container lg. lh. Bob ordered 17 yards of lumber to build a tree house. How many inches of lumber did he order? li. lj. The average length of a female white-beaked dolphin is about 111 inches. What is the length in feet and inches? lk. ll. Some frogs can jump 11 feet. How many inches can the frog jump? How many yards can the frog jump? How many feet are left over? lm. ln. What is the height, from the base of the Statue of Liberty to the torch in inches if it is 151 feet 1 inch as the dimensions? lo. lp. An office supply company is shipping a case of paper to a school. There are 10 reams of paper in the case. If each ream of paper weighs 32 ounces, what is the weight, in pounds, of the case of paper? lq. lr. What is the thickness of the statue’s right arms in yards? (Thickness is 12 feet). ls. lt. Jenna’s garden is 5 yards long. How long is her garden in feet? lu. lv. A candy maker buys a bar of chocolate weighing 160 ounces. How many pounds does the bar weigh? lw. lx. Niko has an orange tree and a lemon tree in his backyard. The orange tree is 7 feet 9 inches tall. The lemon tree is 1 yard 2 feet 5 inches tall. Which tree is taller? ly. lz. Lydia walks 460 feet from the drinking fountain to the cypress tree. How far does she travel in inches? ma. mb. Ellen needs to buy 180 inches of ribbon to wrap a large present. The store sells ribbon only in whole yards. How many yards does Ellen need to buy to have enough ribbon? mc. md. A mountain climber climbed 15,840 feet on her way to the summit of a mountain. How many miles did she climb? me. mf. A typical lap around a track in the United States has a length of 440 yards. How many laps would need to be completed to run a mile? mg. mh. A creek runs along a distance of 15,840 feet. How many miles long is the creek? mi. mj. Leslie needs 324 inches of fringe to put around the edge of a tablecloth. The fringe comes in lengths of 10 yards. If Leslie buys 1 package of fringe, how many feet of fringe will she have left over? mk. ml. The length of a classroom is 34 feet. What is this measurement in yards and feet? mm. mn. A cable company has 5 miles of cable to install. How many 100-yard lengths of cable can be cut? mo. mp. A jump rope is 9 feet long. How long is the jump rope in yards? mq. mr.Leah is buying curtains for her bedroom window. She wants the curtains to hang from the top of the window to the floor. The window is 4 feet high. The bottom of the window is 2 ½ feet above the floor. What curtain length should Leah buy? ms. mt. Olivia ties 2.5 feet of ribbon onto one balloon. How many yards of ribbon does Olivia need for 18 balloons? mu. mv. Suzanne is 64 inches tall. Which of the following is equal to 64 inches? mw. 4 feet 5 feet 4 inches mx. 6 feet 6 feet 4 inches my. mz.Vickie made a recipe for 144 fluid ounces of scented candle wax. How many 1-cup candle molds can she fill with the recipe? na. nb. Ann needs 42 feet of fabric to make a small quilt. How many yards of fabric should she buy? nc. nd. Ed bought 3 liters of water, 2,750 milliliters of sports drink, and 2.25 liters of juice. Does Ed have more or less sports drink than juice? Does Ed have more or less water than sports drink? Does Ed have more or less water than juice? ne. nf. Roland’s dog has a mass of 2,500 dekagrams. What is the dog’s mass in kilograms? ng. nh. Sofia bought 3.25 meters of fabric to make a costume. How many centimeters of fabric did she buy? ni. nj. Lorena’s backpack has a mass of 10,000 grams. What is the mass of Lorena’s backpack in kilograms? nk. nl. Richard can walk at a rate of 5 kilometers in an hour. Explain how to find how many meters Richard can walk in an hour. Then find how many meters he walks in an hour. nm. nn. An art teacher has a roll of art paper 5 meters long. She needs to cut it into 1-decimeter long pieces for a collage project. How many 1-decimeter pieces can she cut from the roll of art paper? no. np. Mickey needs to cut pieces of ribbon that are each 1 meter long to tie onto balloons. If he has 8 pieces of ribbon that are each 1 dekameter long, how many 1-meter pieces of ribbon can he cut? nq. nr. A Komodo dragon lizard can grow up to about 30 decimeters in length. Toni says that this is 300 centimeters. Do you agree? Explain how you can use a table to support your answer. ns. nt. Fred bought 4 liters of liquid laundry detergent, 3250 milliliters of fabric softener, and 2.5 liters of bleach. Which liquid did he have the most of? nu. nv. A plumber has a 2-meter length of pipe. He needs to cut it into sections that are 10 centimeters long. How many sections will he be able to cut? nw. nx. Andrea used 6.4 decimeters of ribbon to wrap a gift. How many centimeters of ribbon did she use? ny. nz. Glen needs to cut pieces of lanyard that are each 1 meter long to make lanyard key chains. If he has 3 pieces of lanyard that are each 1 dekameter long, how many 1-meter pieces of lanyard can he cut? oa. ob. Henry walks everyday for exercise at a rate of 1 kilometer every 12 minutes. Explain how to find how many meters he walks in 1 hour using the given information. oc. od. MD.3a oe. Diana used more than one unit cube to build a figure. When she traced around the figure, she drew a square. What is the least number of unit cubes she could have used? of. og. Kamal has 24 unit cubes. He says he can build 8 different rectangular prisms with the cubes. Do you agree? Support your answer. oh. oi. Ben has 4 unit cubes. How many different rectangular prisms can he make using all 4 unit cubes? oj. ok. Donald has 6 unit cubes. How many different rectangular prisms can he make using all 6 unit cubes? ol. om. How many unit cubes are used in the following figures?

on. a. b. c. oo. op. Office cubicles are arranged in a ring with 4 units on each side, there are 12 cubicles in all. How many cubicles will there be if there are 7 units on each side?

oq. or. os. ot. ou. ov. ow. MD.3b ox. A jeweler received a carton of boxes packed with gift boxes. The gift boxes were 2 inches long on each edge. If 12 boxes completely fill the carton, what is the volume of the carton? oy. oz. Justin stacked unit cubes to completely fill the right rectangular prism represented below. What is the volume, in cubic units, of the rectangular prism?

pa. pb. pc. pd. Solve the following figures volume: pe. Finding Volume with Unit Cubes Name: Find the length, width and height of the rectangular prism. Then find the volume. Answers L W H V Ex) 1) Ex. 4 2 2 16

1. 5 4 5 100

2. 2 5 3 30

4 2 4 32 2) 3) 3.

4. 2 4 3 24

Finding Volume with Unit Cubes Name: 5. 3 5 3 45 Find the length, width and height of the rectangular prism. Then find the volume. Answers 3 4 2 24 4) 5) L W6. H V Ex) 1) Ex. 4 2 2 16 7. 5 2 4 40

1. 5 4 5 100 8. 4 5 5 100

2. 2 5 3 30 6) 7) 9. 5 5 5 125

3. 4 2 4 32 2) 3) 10. 2 2 2 8

4. 2 4 3 24 11. 5 3 4 60

8) 9) 5. 3 5 3 45

4) 5) 6. 3 4 2 24

7. 5 2 4 40 pf. 8. 4 5 5 100 pg. 10) 11) ph. 5 5 5 125 pi. 6) Anna has a right rectangular prism completely7) filled with 168 unit cubes. Write 9.the three numbers that Anna should multiply to find the volume of the prism. Then solve the volume, in cubic units, of Anna’s rectangular prism. pj. 10. 2 2 2 8

11. 5 3 4 60

8) 9) 1-10 91 82 73 64 55 45 36 27 18 9 Math www.CommonCoreSheets.com 1 11 0

pk. pl. pm. pn. Marcy used 1-inch blocks to build a cube whose edges are 3 inches long. Landon used 1-inch blocks to build a 10) cube whose edges are 6 inches long.11) Landon says his cube has twice the volume of Marcy’s cube. Is Landon correct? Support your answer. po.

1-10 91 82 73 64 55 45 36 27 18 9 Math www.CommonCoreSheets.com 1 11 0 pp. A fifth grade student build a rectangular prism shown below. Each cube the student used has a volume of 1 cubic inch. pq. pr. -What is the volume of the rectangular prism? Explain how you got your answer. ps. -Another fifth grade student built a rectangular prism that measured 3 inches by 4 inches by 7 inches. What is the volume of this student’s rectangular prism? pt. -If the smaller rectangular prism were placed on top of the larger rectangular prism, what would be the combined volume of the new shape? Explain. pu. pv. pw. px. py. pz. qa. qb. qc. qd. Kylie and Trevor made the right rectangular prism model shown below with 1-centimeter cubes.

qe. -Kylie found the volume of the model by using a volume formula. qf. qg. qh. -Trevor found the volume of the model by multiplying the number of cubes in one layer by the number of layers, as shown below. qi. qj. qk. What is the volume of the model? Use expressions, equations, and/or words to explain on the next page how the methods that Kylie and Trevor used should result in the same volume for the figure. ql. qm. qn. qo. qp. MD.4 qq. Janelle is trying to decide which of two shipping boxes has the greater volume. Explain how Janelle can compare the volumes of the shipping box using small boxes. qr. qs. Each box of CDs has a volume of 80 cubic inches. What is the amount of boxes of CDs that are in the large box? What is the estimated volume of the large box? qt. qu. qv. The volume of a book is 60 cubic inches. If a large box holds about 12 books, estimate the volume of a large box. qw. qx. Mario packs boxes of markers in a large box. The volume of each box of markers is 15 cubic inches. Estimate the volume of the large box. qy. qz. ra. rb. rc. rd. re. rf. The volume of a small jewelry box is 36 cubic centimeters. If a large box holds bout 9 small jewelry boxes, estimate the volume of a large box. rg. rh. ri. Each box of toothpaste has a volume of 25 cubic inches. What is the amount of boxes of toothpaste that are in the large box? What is the estimated volume of the large box? rj. rk. rl. rm. rn. ro. rp. rq. rr. rs. MD.5a rt. Luke keeps his art supplies in a shoe box that is 12 inches long, 7 inches wide, and 5 inches high. What is the volume of the shoe box? ru. rv. A container in the shape of a cube is shown below. It takes 4 unit cubes to fill the length of the container with no gaps and no overlaps. rw.

rx. ry. rz. A storage bin in the shape of a rectangular prism has a volume of 5,400 cubic inches. The base area of the storage bin is 450 square inches. What is the height of the storage bin? sa. sb. Melissa wants to know the volume of a box that is 4 inches long, 2 inches wide, and 5 inches tall. Explain how Melissa can use cubes to find the volume of the box. sc. sd. A math teacher asked students to find the volume of the right rectangular prism represented below. The prism is partially filled with 20 1-centimeter cubes with no gaps and no overlaps. What is the volume of this rectangular prism? se.

sf. sg. sh. si. The right rectangular prism represented below is partially filled with 1-inch cubes with no gaps and no overlaps. What is the volume of the prism? sj.

sk. sl. sm. sn. so. A toy chest in the shape of a rectangular prism has a volume of 8,640 cubic inches. The base area of the toy chest is 720 square inches. What is the height of the toy chest? sp. sq. sr. ss. MD.5b st. Kristin keeps paper clips in a box that is shape of a cube. Each edge of the cube is 3 inches. What is the volume of the cube? su. sv. Tom keeps sticky notes in a box that is the shape of a cube. Each edge of the cube is 4 inches. Tom says that the volume of the cube is 16 cubic inches. Is Tom correct? Explain. sw. sx. Ben is filling a box that has the shape of a rectangular prism with 1-inch cubes. A layer of 7 rows with 8 cubes in each row filled the bottom of the box. The volume of the box is 224 cubic inches. How many layers of cubes can Ben fit in the box? sy. sz. Mary bought a puzzle in a box that has a width of 3 inches, a length of 10 inches, and a height of 8 inches. She put it in a box that has a volume of 576 cubic inches so she could mail it with some other things. How many cubic inches of space were left in the box? ta. tb. Sylvia can buy a blue box or a green box to store her markers. Both boxes have a base that measures 8 inches by 4 inches. The height of the blue box is 2 inches. The height of the green box is 1 inch. How much greater is the volume of the blue box than the green box? tc. td. Mr. McDonald is designing a cabinet to store sports equipment in the gym. The length and width of one design cannot be the same as the length or width of another design. He wants the cabinet to be 5 feet high with a volume of 60 cubic feet. How many different designs, all with whole number dimensions, can he make? te. tf. Margie is packing 108 small boxes into a large carton. The small boxes will fill all of the space inside the large carton. Each small box is 3 inches long, 2 inches wide, and 1 inch high. The width of the base and the height of the large carton are the same. The length of the base is less than 36 inches. All of the dimensions are whole numbers. Explain how to find possible dimensions for the large carton. tg. th. Ginger has 12 plastic bead containers. The containers measure 1 inch on each side. How many rectangular prisms, each with a different-sized base, could Ginger make by stacking all of the bead containers? Finding Volume Name: Find the volume of each rectangular prism. Remember V = BH and V=L ×W×H Answers 1) 2) 3) 1. 432

9 8 8 2. 384

3. 336

4. 315 Finding Volume Of Rectangular Prisms Name: 4) 5) 6) Find the volume of each of the rectangular prisms. Answers 3 5 3 5. 1)24 3 2) 2 7 1. 108 7 4 4 6. 168 7 2. 70 7. 392 Finding Volume Name: 3. 243 Find the volume of each rectangular prism. Remember V = BH and V=L343×W×H Answers 7) 8) 9) 8. 1) 2) 3) 4. 40 3) 3 1. 432 4) 2 6 9. 324 7 7 9 8 8 5. 336 10. 969 2. 384 4 Name: Finding Volume Of Rectangular Prisms 6. 84 Find the volume of each of the rectangular prisms. 11. 189 3. 336Answers 1) 3 2) 2 7. 162 10) 11) 12) 12. 216 4. 315108 4) 4 5) 6) 1. 7 8. 180 5) 8 6) 2 8 3 24 7 5 3 13. 336 5. 2. 70 ti. 6 7 9. 216 7 7 7 tj. Abigail has 50 earring boxes. The boxes4 measure 1 inch on each side. How many rectangular prisms, each with a 6 3 14. 16 6. 168243 different-sized base, could Mary make by stacking all of the earring boxes? 3. 10. 224 tk. Solve the volume of the following figures: 392 15. 40 7. 4. 40 3) 3 4) 2 13) 14) 15) 343 7) 8) 9) 8. 5. 336 9 4 9 4 4 7) 8) 7 5 6 9. 324 7 2 6. 84 7 4 9 2 10. 7. 96 162 tl. a. b. c. d. tm. 11. 8. 189180 tn. MD.5c5) 8 6) 2 to. Solve the total volume of the following composite figures: 10) 11) 12) 12. 216 7 7 9. 216 1-10 93 87 80 73 67 60 53 9)47 40 33 3 10) 4 Math 8 www.CommonCoreSheets.com 1 11-157 27 20 13 7 0 13. 336224 6 10. 9 8 6 3 14. 16

7) 9 8) 4 15. 40 2 13) 14) 15) 9 4 7 5 1-10 90 80 70 60 50 40 30 20 10 0 Math www.CommonCoreSheets.com 1 4 2

9) 3 10) 4

9 8 1-10 93 87 80 73 67 60 53 47 40 33 Math www.CommonCoreSheets.com 1 11-15 27 20 13 7 0

1-10 90 80 70 60 50 40 30 20 10 0 Math www.CommonCoreSheets.com 1 Name ______5 . M D . 5 c Sheet B Solve the word problems. Remember to write the units.

# 1 Answer = # 2 Answer =

The image shows a cement Name ______5 . M D . 5 c Sheet C If the sandbox were filled all the way shape that will be built at a to the top, how much sand would be skate park. How much cement Solve the word problems. Remember to write the units. needed? will be used?

# 1 Answer = # 2 Answer =

tp. a. b. c. A statue is being built at a memorial This piece of foam will be used as This aquarium at a museum will be filled garden. If it is made of solid What is the total volume of this stuffing for the inside of a couch completely with water. Exactly how concrete, how much concrete will be industrial laundry machine? cushion. What is its volume? much water is that? needed?

# 3 Answer = # 4 Answer = Answer =

tq. tr.

ts. d. e. f. tt. As part of her shop class, Jules made theA c figurearpente belowr built touthis cofhe spiecest out o fof wood. HowHow muchmuch cspacean thi s pencil sharpener does the figure she made take up? wood. How much total storage hold? space does it contain?

# 3 Answer = # 4 Answer = tu. tv. tw. Carlos is an architect. He wants to build a skyscraper and creates this model to help him plan. Carlos believes the upper part of the building has a greater volume than the lower part of the building. a) What is the volume of the upper part of the building? What is the volume of the lower part of the building? b) Explain whether or not he is correct. c) How can this help you find the volume of the entire model? d) What is the total volume of the model?

tx. ty. tz. ua. NF.1& NF.2 ub. Brenda mixed together quart of cranberry juice and quart of ginger ale. How much punch did Brenda make? uc. ud. Jim measured the length of two crickets. One was inch long; the other was ¼ inch long. How long would the two crickets be standing end to end? ue. uf. Maggie is making chocolate milk. She added ¼ cup chocolate syrup to cup milk. How much chocolate milk did Maggie make? ug. uh. Bruce swam mile to the first raft and mile to the second raft. How far did Bruce swim? ui. uj. Tamara measured the thickness of two pamphlets. One was thick; the other was ½ inch thick. How much space would the two books take on a bookshelf if they were standing side by side? uk. ul. Less walked mile to the library and mile to his friend’s house. How far did Lee walk? um. un. Jenna bought a spool of ribbon for her craft projects. It contained 5 ¾ meters of ribbon. She used 3 2/5 meters of ribbon for a project. How many meters of ribbon does Jenna have left? uo. up. Brandon has a male puppy with a mass of 3 ½ kilograms and a female puppy with a mass of 2 1/5 kilograms. How much greater is the male puppy’s mass than the female puppy’s? uq. ur. Jeff’s sister drives 14 miles to her college, but his brother only drives 5 7/10 miles to his college. How much farther does Jeff’s sister drive than his brother? us. ut. Montel bought a spool of string for making kites. It contained 10 3/20 meters of string. He used 6 9/10 meters of string for kites. How many meters of string does Montel have left? uu. uv. Janet grew a pumpkin that weighs 13 ½ pounds and a melon that weighs 8 ¼ pounds. How much heavier is the pumpkin than the melon? uw. ux. Aidan roller-skated 3 1/10 miles around the lake. Josh roller-skated 2 ½ miles around the park. How much farther did Aidan roller-skate than Josh? uy. uz. Annie walked her dog 2 ¼ miles from her house to the dog park and 3 7/8 miles around the park. Then she walked the same distance home. How many miles did she walk in all? va. vb. John’s full backpack weighs 5 ½ pounds, and Tyrone’s full backpack weights 6 3/5 pounds. What is the total weight of both boys’ backpacks? vc. vd. Julie has two extension cords with lengths of 22 1/6 feet and 26 ¾ feet. How long a cord can she make by attaching them together? ve. vf. Terry weighed his two cards at the veterinarian’s office. Boots weighted 12 9/10 pounds, and Tiger weighted 13 ¼ pounds. What is the total weight of both cats? vg. vh. David ran 9 ¾ miles on Saturday and 7 1/10 miles on Sunday. How many miles did he run on the weekend? vi. vj. Amanda’s library books weigh 4 3/8 pounds, and her water bottle weighs 1 7/16 pounds. What is the total weight of her books and water bottle? vk. vl. Jack ate 1 pizzas. Lee ate 1 pizzas. How much more pizza did Jack eat than Lee? vm. vn. Carla ate 1 pizzas. Mandy ate 2 pizzas. How much more pizza did Mandy eat than Carla? vo. vp. Lee ate 3 breadsticks. Mandy ate 1 breadsticks. How many more breadsticks did Lee eat than Mandy? vq. vr. Carla drank 3 sodas. Lee drank 1 sodas. How many more sodas did Carla drink than Lee? vs. vt. Mineko had a piece of material that was yard long. She cut off the material to make a pillow. How much does she have left? vu. vv. Sandra drove for hour to get to the store. Then she drove hour to get to the library. What fraction of an hour did Sandra drive in all? vw. vx. A recipe for crumb cake says to mix cup of brown sugar and cup of white sugar. From this sugar mixture, set aside cup for the crumb topping. The remaining sugar mixture is used to make the cake. What amount of the sugar mixture is used to make the cake? vy. vz. A piece of glass is thick, and a second piece of glass is inch thick. What is the combined thickness of the two pieces of glass? wa. wb. Ryder had a piece of wood that was yard long. He cut off the material to make a bench. How much does he have left? wc. wd. Mark drove for hour to get to the store. Then he drove hour to get to the store. What fraction of an hour did Mark drive in all? we. wf. A recipe for cookies says to mix cup of brown sugar and cup of white sugar. From this sugar mixture, cup is mixed in with the wet ingredients. The remaining sugar mixture is added gradually while mixing the cookies. What amount of the sugar mixture is added gradually to make the cookies? wg. wh. A piece of rug is thick, and a second piece of glass is inch thick. What is the combined thickness of the two pieces of glass? wi. wj. Genevieve made brownies to bring to a party. She gave of her brownies to her younger brothers. Her dad ate of the brownies. What fraction of the brownies was left to take to the party? wk. wl. Tara made a snack mix with cup of rice crackers and cup of pretzels. She then ate cup of the mix for lunch. How much mix does she have left? wm. wn. wo. Martin is making a model of a Native American canoe. He has 5 feet of wood. He uses 2 feet for the hull and 1 feet for the paddle and struts. How much wood does Martin have left? wp. wq. Julie spends hour studying on Monday and hour studying on Tuesday. How many hours does Julie study on those two days? wr. ws.Samuel walks in the Labor Day parade. He walks 3 miles along the parade route and 2 miles home. How many miles does Samuel walk? wt. wu. A gardener has a container with 6 ounces of liquid plant fertilizer. On Sunday, the gardener uses 2 ounces on a flower garden. How many ounces of liquid plant fertilizer are left? wv. ww. Julie spends hour studying on Monday and hour studying on Tuesday. How many hours does Julie study on those two days? wx. wy.Cody is designing a pattern for a wood floor. The length of the pieces of wood are 1 inches, 1 inches, and 2 inches. What is the length of the 5th piece of wood if the pattern continues? wz. xa. During the 9 hours between 8 A.M and 5 P.M, Bret spent 5 hours in class and 1 hours at band practice. How much time did he spend on other activities? xb. xc. Yolanda walked 3 miles. Then she walked 4 more miles. How many miles did Yolanda walk? xd.