WIXLIB

XI. Mathematics, Grade 5

Grade 5 Mathematics TestTest Sessions and Content OverviewThe spring 2016 grade 5 Mathematics test was made up of two separate test sessions. Each session included: Twenty-one common items, including multiple-choice, short-answer, and open-response questions. Thesecommon items are the items on which each student’s 2016 MCAS Mathematics score will be based. Three items developed by the Partnership for Assessment of Readiness for College and Careers (PARCC),including multiple-choice, multiple-select, and open-response questions. Students’ performance on these PARCCitems will not be factored into their MCAS scores.Approximately half of the common test items are shown on the following pages as they appeared in test booklets.The PARCC items are not being released in this document. The Department will post information about these items to theStudent Assessment webpage in a separate document. See page 4 of the Introduction to this document for more informationabout the inclusion of PARCC items in the 2016 MCAS tests.Standards and Reporting CategoriesThe common items in the spring 2016 grade 5 Mathematics test assessed standards in the five domains for grade 5 in theMassachusetts Curriculum Framework for Mathematics (March 2011). The grade 5 standards can be found on pages 48–52in the Framework, and the five domains are listed below. Operations and Algebraic Thinking Number and Operations in Base Ten Number and Operations—Fractions Measurement and Data GeometryThe Massachusetts Curriculum Framework for Mathematics is available on the Department website tics test results are reported under five MCAS reporting categories, which are identical to the five frameworkdomains listed above.The tables at the conclusion of this chapter indicate each released and unreleased common item’s reporting category andthe framework standard it assesses. The correct answers for released multiple-choice and short-answer questions are alsodisplayed in the released item table.Standards and reporting categories for the PARCC items in the grade 5 Mathematics test will be listed in a separatedocument, which will be posted to the Student Assessment webpage.Reference Materials and ToolsEach student taking the grade 5 Mathematics test was provided with a plastic ruler and a grade 5 MathematicsReference Sheet. A copy of the reference sheet follows the final question in this chapter. An image of the ruler is notreproduced in this publication.During both Mathematics test sessions, the use of bilingual word-to-word dictionaries was allowed for current andformer English language learner students only. No calculators, other reference tools, or materials were allowed.173

Grade 5 MathematicsSession 1You may use your reference sheet and MCAS ruler during this session.You may not use a calculator during this session.DIRECTIONSThis session contains eight multiple-choice questions, two short-answer questions, and one openresponse question. Mark your answers to these questions in the spaces provided in your StudentAnswer Booklet.ID:280733 AL852310 grid.eps B Common1 ID:311291 C Common2 Points A, B, C, and D are shown on thecoordinate grid below.yHow many gallons of water did eachcamper use?54ABC32A.112B.512C. 2 521D0A group of 5 campers used a total of12 gallons of water on a camping trip.Each camper used the same amount ofwater.12345D. 2 12xWhat point represents the orderedpair (3, 4)?A. point AB. point BC. point CD. point D174

MathematicsSession 1ID:280493 B CommonThe length ofThe length ofID:311323 MCAS1415 Gr05 Math VP66 A C Common4 miles.miles.The graph below shows y, the total costin dollars, for x tickets to a movie.What is the difference in length betweenEagle Trail and Bear Trail?401A. 3 10miles9B. 3 10milesC.14 10Movie TicketsyTotal Cost (in dollars)3 Eagle Trail is 6 537Bear Trail is 2 10milesD. 4 54 miles36322824201612840123456xNumber of TicketsBased on the information in the graph,what would be the total cost for 6 movietickets?A. 24B. 40C. 48D. 64175

MathematicsSession 1Questions 5 and 6 are short-answer questions. Write your answers to these questions in the boxesprovided in your Student Answer Booklet. Do not write your answers in this test booklet. You may doyour figuring in the test booklet.ID:298105 Common5 A box is in the shape of a right rectangular prism. The base of the box has an area of15 square inches. The height of the box is 12 inches.What is the volume, in cubic inches, of the box?ID:221205 Common6 Compute:(92)(85)176

MathematicsSession 1Mark your answers to multiple-choice questions 7 through 10 in the spaces provided in your StudentAnswer Booklet. Do not write your answers in this test booklet. You may do your figuring in the testbooklet.ID:248907 C Common7 ID:311281 B Common8 Four students ran in a race. The tablebelow shows the time it took eachstudent to finish the race.Which of the following expressions canbe used to find the total number ofapples in all the bins?Race Finish TimeName ofStudentTime toFinish Race(in 0A farmer has 20 bins of apples. Each binhas 25 red apples and 30 green apples.Which student took the least amount oftime to finish the race?A. KarlaB. LindaC. MaryD. Sofia177A. 20(2530)B. 20(2530)C. (2025)(2030)D. (2025)(2030)

MathematicsSession 1ID:311298 MCAS1415 Gr05 Math VP31.e C Common9 ID:306402 A Common10 Aiesha made 4 quarts of applesauce.She will put the applesauce in jars thathold 13 quart each. Aiesha solved theequation below to find n, the numberof jars she needs to hold all theapplesauce.413Amal wrote the expression shown below.543Which of the following statements aboutthe value of Amal’s expression is true?A. The value is between 6 and 7.B. The value is between 5 and 6.nC. The value is between 4 and 5.Which of the following models bestrepresents this equation?D. The value is between 3 and 4.represents 1 wholeA.B.C.D.178

MathematicsSession 1Question 11 is an open-response question. BE SURE TO ANSWER AND LABEL ALL PARTS OF THE QUESTION.Show all your work (diagrams, tables, or computations) in your Student Answer Booklet.If you do the work in your head, explain in writing how you did the work.Write your answer to question 11 in the space provided in your Student Answer Booklet.ID:303764 Common11 Terry is making meatballs for a family dinner. He needs ground turkey and ground beefto make the meatballs.Ground turkey costs 4.50 per pound. Terry buys 2.6 pounds of ground turkey.a. What is the total cost, in dollars, for 2.6 pounds of ground turkey? Show or explain howyou got your answer.Terry needs 5.5 pounds of ground beef to make the meatballs. He has 2.75 pounds of groundbeef at home.b. What is the total number of pounds of ground beef that Terry needs to buy? Show orexplain how you got your answer.Terry has a total of 8.1 pounds of meat to make meatballs. He will use 0.3 pound of meatto make each meatball.c. What is the total number of 0.3-pound meatballs Terry can make with 8.1 pounds of meat?Show or explain how you got your answer.179

Grade 5 MathematicsSession 2You may use your reference sheet and MCAS ruler during this session.You may not use a calculator during this session.DIRECTIONSThis session contains eight multiple-choice questions, one short-answer question, and one openresponse question. Mark your answers to these questions in the spaces provided in your StudentAnswer Booklet.ID:217318 B Common12 ID:306391 C Common13 212Jean needscups of flour to makesugar cookies and 3 1 cups of flour to4make peanut butter cookies.Eric divided the sum of 5 and 7 by 6.Which of the following is another wayto express Eric’s calculations?A. (7 3 6) 4 5What is the total number of cups of flourthat Jean will need to make both kinds ofcookies?B. 5 4 (7 3 6)C. (7 1 5) 4 6D. 6 4 (7 1 5)A.526B. 5 34C. 6 26D. 6 34180

MathematicsSession 2ID:272786 C Common14 ID:301173 D Common15 Jin had 60 stickers in her collection.3She gave 5 of the stickers to her friend.How many stickers did Jin give to herfriend?Julie uses 4 green beads and 6 bluebeads in each bracelet she makes. Whatis the total number of green beads Juliewill use when she uses 24 blue beads?A.6A. 12B. 10B. 20C. 12C. 36D. 16D. 40181

MathematicsSession 2Question 16 is a short-answer question. Write your answer to this question in the box providedin your Student Answer Booklet. Do not write your answer in this test booklet. You may do yourfiguring in the test booklet.ID:301183 Common16 A construction team uses 184 sheets of plywood for each house it builds. The team will build12 houses this year.What is the total number of sheets of plywood the team will use to build all 12 houses?182

MathematicsSession 2Question 17 is an open-response question. BE SURE TO ANSWER AND LABEL ALL PARTS OF THE QUESTION.Show all your work (diagrams, tables, or computations) in your Student Answer Booklet.If you do the work in your head, explain in writing how you did the work.Write your answer to question 17 in the space provided in your Student Answer Booklet.ID:272901 Common17 Yolanda took a bus to visit her grandmother for a four-day visit.a. At the bus station she waited for 43 of an hour until it was time to board the bus.How many minutes did Yolanda wait to board the bus? Show or explain how you got youranswer.Yolanda brought a CD to listen to on the bus. The CD is 78 minutes long. The bus ride was 2 12 hours long.b. How many minutes longer was the bus ride than the CD? Show or explain how you gotyour answer.c. Yolanda wondered how many minutes are in 4 days. What is the total number of minutes in4 days? Show or explain how you got your answer.183

MathematicsSession 2Mark your answers to multiple-choice questions 18 through 21 in the spaces provided in your StudentAnswer Booklet. Do not write your answers in this test booklet. You may do your figuring in the testbooklet.ID:306467 MCAS13 M05 GEO 06 ART.eps D Common18 ID:301597 LJB11 rainfall.eps B Common19 A diagram of a car window is shownbelow.Josh measured the daily rainfall inhis city for two weeks. He recordedthe rainfall amounts to the nearestone-fourth inch on a line plot, asshown below.XXXXXXWhich two words best describe the shapeof the car window?A. rectangle, rhombus0B. trapezoid, rectangleXXX14—XXXXX12—341—C. rhombus, quadrilateralAmount of Rainfall (inches)D. quadrilateral, trapezoidWhat is the total amount of rainfall Joshrecorded for the two weeks?A.2 12 inchesB.4 14 inchesC.8 inchesD. 14 inches184

Mathematics20 Session 221 Which of the following expressionsrepresents the number one million ?A. 10 8B. 10 7The expressions in the table below showthe amount of money, in dollars, thatNatalie and Drew each earned babysittinglast week.Earnings from BabysittingC. 10 6D. 10 5BabysitterAmount Earned(in dollars)Natalie84Drew41515Based on the expressions in the table,which of the following statements istrue?A. Drew earned 4 less than Natalie.B. Natalie earned 8 more than Drew.C. Natalie earned 12 times as muchas Drew.D. Drew earned 4 times as muchas Natalie.185

Massachusetts Comprehensive Assessment SystemGrade 5 Mathematics Reference SheetPERIMETER (P) FORMULASVOLUME (V) FORMULASperimeterl w hrectangular prism . . . . . V(l length; w width; h height)distance aroundsquare . . . . . . . . . . . P4 s(s length of a side)s s scube . . . . . . . . . . . . . . . V(s length of an edge)(2 l) (2 w)rectangle. . . . . . . . . P(l length; w width)triangle . . . . . . . . . . Pa b c(a, b, and c are the lengths of the sides)AREA (A) FORMULASs ssquare . . . . . . . . . . . A(s length of a side)rectangle. . . . . . . . . A l w(l length; w width)triangle . . . . . . . . . . A(bh12bhlength of the base;height)186