Word GRADE 6 Word Problems - Carson Dellosa

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GRADE 6Making Children More Successful!Spectrum Word Problems is the perfect reinforcement of theproblem solving skills students are learning in the classroom andfor standardized test preparation. It provides clear examples of howthe math skills students learn in school apply to everyday life withchallenging, multi-step word problems, skills that are essential toproficiency with the Common Core State Standards. Spectrum WordProblems Grade 6 includes practice for essential math skills, such as:SPECTRUM Word ProblemsWordProblems WordProblems6GRADE Real world applications Multi-step word problems Fractions, decimals, and percents Metric and customary measurement Graphs, probability, and statisticsFocused Practice forWord Problem Mastery Real world applications Geometry Preparing for algebra Multi-step word problems Fractions, decimals, and percents Metric and customary measurement Graphs, probability, and statisticsAn imprint of Carson-Dellosa Publishing LLCPO Box 35665Greensboro, NC 27425 USAcarsondellosa.com/spectrumCD-704492 CO WordProblems G6.indd 1 Geometry Preparing for algebraDownload the free Carson-Dellosa PEEK app and bring this product to life!10/3/13 9:39 AM

NAMEAdding and Subtracting through 6 DigitsRead the problem carefully and solve. Show your work under each question.A traffic engineering company performed a survey of the vehicles using a section of a highway.During the survey period, the engineers counted 34,780 cars, 12,679 small commercial vehicles,2,410 medium trucks, 14,397 large trucks, and 876 other vehicles.1. What is the total number of medium andlarge trucks that used the highway duringthe survey?trucks2. Out of all the vehicles classified as othervehicles, 664 of them were motorcycles.How many of the other vehicles were notmotorcycles?CHAPTER 1 PRETESTCheck What You Know4. About how many small commercialvehicles and medium trucks used thehighway during the survey?commercialaboutvehicles and medium trucks5. What is the difference between thenumber of large trucks and the numberof medium trucks counted in the survey?truckswere not motorcycles3. How many of the vehicles that werecounted in the survey were not classifiedas cars?not carsSpectrum Word ProblemsGrade 60-7696-5916-0 sec1 Final.indd 1vehicles were6. What is the total number of vehiclesthat passed the survey point duringthe counting period?vehiclesCheck What You KnowChapter 119/23/13 10:51 AM

NAMELesson 1.1 Adding and Subtracting 2 and 3 DigitsRead the problem carefully and solve. Show your work under each question.Lee bought a bag of 500 marbles. He sorted the marbles by color. He had 163 red marbles,175 green marbles, 98 yellow marbles, and 64 blue marbles.3. Of the 500 marbles, how many were notgreen?Helpful HintWhen two digits add up to more than 10,rename the digits and carry, if necessary.For example:marbles11 81 93 717 is renamed as 1 ten and 7 ones.1. Lee placed all of the red marbles and theyellow marbles in one bag. How manymarbles were in the bag in total?marbles2. Lee placed the blue and green marblesin another bag. How many marblesaltogether were in that bag?marblesSpectrum Word ProblemsGrade 64. There were two sizes of red marbles. If18 of the red marbles were large, howmany small red marbles were in the bag?red marbles5. If Lee gave 128 of the marbles to hisfriend Anna, how many marbles didhe still have?marblesLesson 1.1Adding and Subtracting 2 and 3 Digits20-7696-5916-0 sec1 Final.indd 29/23/13 10:51 AM

NAMELesson 1.2 Adding and Subtracting Large Numbersand EstimatingRead the problem carefully and solve. Show your work under each question.Taro is researching the population of Alaska. He finds that the largest cities in Alaska areAnchorage, Fairbanks, and Juneau. He learns that in 2006, the population of Anchorage was278,700 people. The city of Fairbanks had a population of 31,142 people, and Juneau had apopulation of 30,737 people.3. Based on the 2006 census, what wasHelpful HintTo estimate a sum or difference, roundeach number to the highest place valuethey have in common, and then add orsubtract.the exact population of Anchorage andJuneau combined?peopleIf the digit to the right of the place valueis equal to or greater than 5, round to thenext higher number.1. In 2006, about how many people livedin Fairbanks and Juneau combined?aboutpeople2. In 2006, about how many people livedin Anchorage and Juneau combined?aboutSpectrum Word ProblemsGrade 6people4. If the total population of Alaska in 2006was 670,053, how many people inAlaska did not live in Anchorage?people5. If 5,350 visitors came to Juneau for afestival in 2006, about how many peoplewere in the city during the festival?aboutpeopleLesson 1.2Adding and Subtracting Large Numbers and Estimating30-7696-5916-0 sec1 Final.indd 39/23/13 10:51 AM

NAMELesson 1.3 Adding 3 or More Numbers(3 through 6 digits)Read the problem carefully and solve. Show your work under each question.There are five CD stores in an area. The chart below shows the number of CDs sold at eachstore in January.Store AStore BStore CStore DStore E4,5698,82216,7256,22442,4803. All of the sales at Store E were madeHelpful HintWhen adding numbers with differentamounts of digits, be sure to line thenumbers up correctly by place valuebefore adding.online and all of the sales at the otherstores were made in person. How manyof the CDs were sold in person?CDs1. Store A, Store B, and Store C are ownedby the same company. How many CDsaltogether did that company sell inJanuary?4. In addition to CDs, Store E sells t-shirtsCDsand posters. If there were 1,219 t-shirtsand 367 posters sold in January, whatwas the total number of products sold byStore E during this month?products2. Store B, Store C, and Store D are locatedin the same shopping center. How manyCDs were sold in that shopping center inall?CDs5. How many CDs altogether were sold atthe area stores in January?CDsSpectrum Word ProblemsGrade 6Lesson 1.3Adding 3 or More Numbers (3 through 6 digits)40-7696-5916-0 sec1 Final.indd 49/23/13 10:51 AM

NAMECheck What You LearnedAdding and Subtracting through 6 DigitsRead the problem carefully and solve. Show your work under each question.Students from the middle schools in the city collected pennies for a charity fundraising event.The table below shows the number of pennies collected at each idePennies95814,65732,2874,32132,116collected at Central and Lincoln?pennies2. At Eastwood School, the sixth graderscollected 561 pennies. How manypennies were collected by the othergrades?pennies3. How many pennies were collected byschools other than Riverside?penniesSpectrum Word ProblemsGrade 60-7696-5916-0 sec1 Final.indd 5CHAPTER 1 POSTTEST1. What was the total number of pennies4. About how many pennies altogetherwere collected by students at Centraland Highlands?penniesabout5. How many more pennies did the studentsat Riverside collect than the students atCentral?pennies6. How many pennies were collected by allof the schools combined?penniesCheck What You LearnedChapter 159/23/13 10:51 AM

CHAPTER 2 PRETESTNAMECheck What You KnowMultiplying and Dividing Whole NumbersRead the problem carefully and solve. Show your work under each question.Shawna will read 8 books during the summer. There are 2,325 total pages in her 8 books. Jakewill read 7 books during the summer. There are 2,047 total pages in his 7 books. Shawna willread the same number of pages each day. Jake will also read the same number of pages each day.1. There are 89 days of summer break. Howmany pages will Shawna read each day?How many pages will she have left?pagesduring the 89 days of summer break?How many pages will he have left?If each chapter has exactly 15 pages,how long is the book?Spectrum Word ProblemsGrade 660-7696-5916-0 sec1 Final.indd 6hours5. Jake reads 23 pages per hour. Howmany hours will he spend reading the7 books?pages left3. One of Jake’s books has 24 chapters.pagesHow many hours will she spend readingthe 8 books?pages left2. How many pages will Jake read each daypages4. Shawna reads 25 pages per hour.hours6. If each page has an average of212 words, about how many wordswill Shawna read during the summer?aboutwordsCheck What You KnowChapter 29/23/13 10:51 AM

NAMELesson 2.1 Multiplying 2, 3, and 4 Digits by1 and 2 DigitsRead the problem carefully and solve. Show your work under each question.A charter bus company owns 232 buses. Each bus can carry 42 passengers plus their luggage.The company also owns 28 vans. Each van can carry 13 passengers.4. On one particular trip, there are 38Helpful HintTo multiply by a two-digit number, firstmultiply the top number by each of thedigits in the bottom number. Then, add thetwo products to find the solution.passengers riding on a bus. If eachpassenger is allowed to bring 122pounds of luggage, what is the most thatthe luggage could weigh?pounds1. A school requests 6 buses for a field trip.How many passengers altogether can fiton 6 buses?passengers5. What is the total number of passengersthat could ride in the company’s vans?2. What is the maximum number ofpassengerspassengers that could travel in thecompany’s buses?passengers6. The company plans to purchase 4 newtires for each of its buses and vans.How many total tires will it need?3. An after-school program needs 5 vans fora field trip. How many passengers in allcan 5 vans hold?tirespassengersSpectrum Word ProblemsGrade 6Lesson 2.1Multiplying 2, 3, and 4 Digits by 1 and 2 Digits70-7696-5916-0 sec1 Final.indd 79/23/13 10:51 AM

NAMELesson 2.2 Multiplying 3 and 4 Digits by 3 DigitsRead the problem carefully and solve. Show your work under each question.Peter starts a job at an electronics store. He learns that the image on a computer or televisionscreen is made by lighting up small dots, called pixels, that are lined up in rows and columns. Hecan find the total number of pixels on a screen by multiplying the number of rows by the number ofcolumns. Peter decides to investigate the total number of pixels on different equipment.2. How many pixels are there on a computerHelpful HintRemember to add zeros at the end of thesecond and third products to show that youare multiplying 433 by 2 tens and 3 hundreds:screen that has 768 rows with 1,024pixels in each row?pixels4 3 33 2 14 3 38 6 6 01 2 9 9 0 01 3 8 9 9 31. Peter found a television screen that has576 columns with 720 pixels in eachcolumn. How many pixels does this screenhave?pixelsSpectrum Word ProblemsGrade 63. Peter learns that a digital camera usespixels in rows and columns to make aphotograph. How many pixels are therein a digital photograph that is 960 by1,344 pixels?pixelsLesson 2.2Multiplying 3 and 4 Digits by 3 Digits80-7696-5916-0 sec1 Final.indd 89/23/13 10:51 AM

NAMELesson 2.3 Dividing 2, 3, and 4 Digits by 1 DigitRead the problem carefully and solve. Show your work under each question.A small manufacturing company produces picture frames sold at craft stores. The frames are sold inpackages containing 4, 5, or 8 frames per package.Helpful HintRemember to write the first digit of thequotient in the correct spot.583486Since 100 6 600 and 600 is greaterthan 348, there is no hundreds digit in thequotient.3. The company received an order for250 frames. The boss does not wantany frames left over. How many framesshould be in each package so there areno frames left over? How many packageswill there be in total?frames in a packagepackages1. During one hour at the factory, workersassembled 95 frames. If all the frameswere placed in packages of 5 frameseach, how many packages wereproduced? How many frames wereleft over?4. For one order, the factory made framesfor packages containing 4 frames each.If a total of 4,127 frames were built, howmany full packages could be shipped?How many frames would be left?packagesframes left2. During one shift, the factory producedonly packages containing 8 frames each.If the total number of frames was 730,how many full packages were assembled?How many frames were left over?packagesframes leftSpectrum Word ProblemsGrade 6packagesframes left5. The company made 389 frames foranother order. Each package needed tocontain 8 frames. How many packageswere produced? How many frames wereleft over?packagesframes leftLesson 2.3Dividing 2, 3, and 4 Digits by 1 Digit90-7696-5916-0 sec1 Final.indd 99/23/13 10:51 AM

NAMELesson 2.4 Dividing 2 through 5 Digits by 2 DigitsRead the problem carefully and solve. Show your work under each question.During a political campaign, volunteers call voters to give them information about a candidate.Each volunteer receives a list of names and phone numbers. The names are always dividedevenly between all the volunteers.Helpful HintWhen dividing, make sure the numbers arepositioned correctly with each step:19 R1173241715415311. On the first day of the campaign,22 volunteers came to the call center.If there were 1,012 voters in thedistrict, how many names were on eachvolunteer’s list?names3. In the second week of the campaign,there were 58 volunteers. 13,075 voterswere divided evenly among them. Theirsupervisor called the remaining people.How many calls did each volunteer make?calls4. During the second week, the 58 volunteerscalled an additional 2,430 voters. Again,each volunteer called the same numberof voters. Their supervisor called theremaining people. How many additionalcalls did each volunteer make that week?additional calls2. Before any calls were made, 3 morevolunteers came. The 1,012 voter nameswere divided again. How many nameswere on each volunteer’s list? How manynames were left?namesnames left5. On the day of the election, follow-up callswere made to 575 voters. If there were18 volunteers in the office, how manycalls did each person make? How manynames were left?callsnames leftSpectrum Word ProblemsGrade 6Lesson 2.4Dividing 2 through 5 Digits by 2 Digits100-7696-5916-0 sec1 Final.indd 109/23/13 10:51 AM

2 Lesson 1.1 Adding and Subtracting 2 and 3 Digits Read the problem carefully and solve. Show your work under each question. Lee bou

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