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XI. Mathematics, Grade 6

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XI. Mathematics, Grade 6

Grade 6 Mathematics TestThe spring 2019 grade 6 Mathematics test was a next-generation assessment that was administered in two primary formats:a computer-based version and a paper-based version. The vast majority of students took the computer-based test. The paperbased test was offered as an accommodation for students with disabilities who are unable to use a computer, as well as forEnglish learners who are new to the country and are unfamiliar with technology.Most of the operational items on the grade 6 Mathematics test were the same, regardless of whether a student took the computerbased version or the paper-based version. In places where a technology-enhanced item was used on the computer-based test, anadapted version of the item was created for use on the paper test. These adapted paper items were multiple-choice, multiple-select,or short-answer items that tested the same Mathematics content and assessed the same standard as the technology-enhanced item.This document displays released items from the paper-based test. Released items from the computer-based test areavailable on the RICAS Resource Center website at ricas.pearsonsupport.com/released-items.The Scoring Guides can be found at www.doe.mass.edu/mcas/student/. They provide the released constructed-responsequestions, a unique scoring guide for each question, and samples of student work at each score point.Test Sessions and Content OverviewThe grade 6 Mathematics test was made up of two separate test sessions. Each session included selected-response, shortanswer, and constructed-response questions. On the paper-based test, the selected-response questions were multiple-choiceitems and multiple-select items, in which students select the correct answer(s) from among several answer options.Standards and Reporting CategoriesThe grade 6 Mathematics test was based on standards in the five domains for grade 6 in the Massachusetts CurriculumFramework for Mathematics (2017). The five domains are listed below. Ratios and Proportional Relationships The Number System Expressions and Equations Geometry Statistics and ProbabilityThe Massachusetts Curriculum Framework is strongly aligned with Rhode Island’s Mathematics standards: the Common CoreState Standards (CCSS). The RICAS Mathematics assessment tables articulate this alignment and are available on the RIDEwebsite at www.ride.ri.gov/ricas. The Massachusetts Curriculum Framework for Mathematics is available on the Departmentwebsite at cs test results are reported under five RICAS reporting categories, which are identical to the five framework domainslisted above.The tables at the conclusion of this chapter provide the following information about each released and unreleased operationalitem: reporting category, standard(s) covered, item type, and item description. The correct answers for released selectedresponse and short-answer questions are also displayed in the released item table.Reference Materials and ToolsEach student taking the paper-based version of the grade 6 Mathematics test was provided with a plastic ruler and a grade 6Mathematics Reference Sheet. A copy of the reference sheet follows the final question in this chapter. An image of the ruler isnot reproduced in this publication.During both Mathematics test sessions, the use of bilingual word-to-word dictionaries was allowed for current and formerEnglish learner students only. No calculators, other reference tools, or materials were allowed.214

Grade 6 MathematicsSESSION 1This session contains 9 questions.You may use your reference sheet during this session.You may not use a calculator during this session.DirectionsRead each question carefully and then answer it as well as you can. You must recordall answers in this Test & Answer Booklet.For some questions, you will mark your answers by filling in the circles in yourTest & Answer Booklet. Make sure you darken the circles completely. Do not makeany marks outside of the circles. If you need to change an answer, be sure to eraseyour first answer completely.For other questions, you will need to fill in an answer grid. Directions for completingquestions with answer grids are provided on the next page.If a question asks you to show or explain your work, you must do so to receive fullcredit. Write your response in the space provided in this Test & Answer Booklet.Only responses written within the provided space will be scored.215

Mathematics Session 1Directions for Completing Questions with Answer Grids1.Work the question and find an answer.2.Enter your answer in the answer boxes at the top of the answer grid.3. Print only one number or symbol in each box. Do not leave a blank box inthe middle of an answer.4. Under each answer box, fill in the circle that matches the number orsymbol you wrote above. Make a solid mark that completely fills thecircle.5.Do not fill in a circle under an unused answer box.6. Fractions cannot be entered into an answer grid and will not be scored.Enter fractions as decimals.7. If you need to change an answer, be sure to erase your first answercompletely.8.See below for examples of how to correctly complete an answer grid.EXAMPLES– 1 4–\ \ \ \\ \ \ \0000000\\\\\\\1 \11 \1 \1 \1 \1 \\222222\\\\\\\ 23 \33 \3 \3 \3 \3 \\444444\\\\\\\ 45 \55 \5 \5 \5 \5 \\666666\\\\\\\ 67 \77 \7 \7 \7 \7 \\888888\\\\\\\ 89 \99 \9 \9 \9 \9 \\4 8 3 1 6–\ \ \ \\ \ \ \0000000\\\\\\ \1 \11 \1 \1 \1 \1 \\2222222\\\\\\ \3333333\\\\\\ \4444444\\\\\\ \5555555\\\\\\ \6666666\\\\\\ \7777777\\\\\\ \8888888\\\\\\ \9999999\\\\\\ \65 . 3–\ \ \ \\ \ \ \0000000\\\\\\ \1 \11 \1 \1 \1 \1 \\2222222\\\\\\ \3333333\\\\\\ \4444444\\\\\\ \5555555\\\\\\ \6666666\\\\\\ \7777777\\\\\\ \8888888\\\\\\ \9999999\\\\\\ \2169 . 5 5 5 5–\ \ \ \\ \ \ \0 \00 \0 \0 \0 \0 \\1 \11 \1 \1 \1 \1 \\2 \22 \2 \2 \2 \2 \\3 \33 \3 \3 \3 \3 \\4 \44 \4 \4 \4 \4 \\5 \55 \5 \5 \5 \5 \\6 \66 \6 \6 \6 \6 \\7 \77 \7 \7 \7 \7 \\8 \88 \8 \8 \8 \8 \\9 \99 \9 \9 \9 \9 \\

Mathematics MA307273qOPBA mail carrier delivered mail to 84 houses in 3 hours. At what rate did themail carrier deliver the mail?A24 houses per hourB28 houses per hourC81 houses per hourD87 houses per hourMA703177181PAwSession 1OPAA student ate more than 16 ounces of cereal last week.Which number line best represents the number of ounces of cereal thestudent could have eaten last week?A8 10 12 14 16 18 20 22 24 26B8 10 12 14 16 18 20 22 24 26C8 10 12 14 16 18 20 22 24 26D8 10 12 14 16 18 20 22 24 26217

Mathematics MA713739169 PAeOPSession 1BA gift box is in the shape of a right triangular prism. The net of the gift boxis shown.4 in.5 in.5 in.4 in.6 in.Which of the following expressions represents the total surface area, insquare inches, of the gift box?A(4 4) (4 5) (4 6) 1 (4 4) 1 (4 4)B(4 5) (4 5) (4 6) 1 (4 6) 1 (4 6)C(4 4) (4 5) (4 6) 1 (4 5) 1 (4 5)D(4 5) (4 6) (4 6) 1 (4 6) 1 (4 6)22222182222

Mathematics MA311703 OPrSession 1CA student drew a triangle on a coordinate plane. The coordinates of eachvertex of the triangle are shown. E ( 2, 3) F (1, 5) G (4, 3)What is the length, in units, of side EG of the triangle?A2B3C6D7219

Mathematics tOPBThis graph represents the relationship between the number of hours ababysitter worked and the amount of money, in dollars, she earned.Money EarnedBabysittingAmount Earned(dollars)MA280690Session 1280240200160120804005 10 15 20 25 30 35Number of Hours WorkedWhat is the amount of money, in dollars, the babysitter earned for each hourshe worked?A 5B 8C 30D 40220

Mathematics MA272283yOPSession 1DA farmer picked oranges and put them all into 9 boxes. Each box had thesame number of oranges.Which of the following could be the number of oranges the farmer picked?A299B281C273D261221

Mathematics MA713663381 PA OPuSession 1C1A science teacher has 32 cubes. Each cube has an edge length offoot. The4teacher will use the cubes to find the volumes of right rectangular prisms byfilling them with the cubes.In which of the following groups of prisms can each prism be completelyfilled with the 32 cubes?A31 4 ft.1 ft.2 ft.1ft.23 ft.1ft.4B31 4 ft.1ft.21ft.23 ft.1ft.22 ft.C1 ft.2 ft.1ft.41ft.21ft.22 ft.D31 4 ft.1 ft.2 ft.1ft.41ft.23 ft.2221ft.22 ft.1ft.2

Mathematics Session 1This question has four parts. Be sure to label each part of your response.MA703251109iOPXA student had 30 tickets to use at a carnival. The numbers of tickets needed togo on some rides and play some games at the carnival are shown in this table.Carnival TicketsRide or GameTickets Neededball throw3bumper carstFerris wheel5ring toss2roller coaster8A. The student played one game of ball throw and rode the bumper cars onetime. She used a total of 9 tickets for these two activities.Write an equation that can be used to find t, the number of tickets neededto ride the bumper cars.B. Solve the equation you wrote in Part A to find t, the number of ticketsneeded to ride the bumper cars. Show or explain how you got youranswer.C. The student used a total of 15 tickets for rides on the Ferris wheel. Howmany times did she ride the Ferris wheel?Write and solve an equation that can be used to find r, the number oftimes the student rode the Ferris wheel.D. The student used 24 of her 30 tickets. In order to play one ring toss gameand ride the roller coaster one time, she needed to purchase additionaltickets to use with the tickets she had left. The student spent 2.60 on theadditional tickets she needed.What was the cost, in dollars, of each additional ticket? Show or explainhow you got your answer.223

Mathematics Session 1i224

Mathematics MA301226oOPSession 1BRobin reads 5 pages of a book in 4 minutes. Based on this rate, what is thetotal number of minutes it will take Robin to read 200 pages?A100 minutesB160 minutesC200 minutesD250 minutes225

Grade 6 MathematicsSESSION 2This session contains 11 questions.You may use your reference sheet during this session.You may not use a calculator during this session.DirectionsRead each question carefully and then answer it as well as you can. You must recordall answers in this Test & Answer Booklet.For some questions, you will mark your answers by filling in the circles in yourTest & Answer Booklet. Make sure you darken the circles completely. Do not makeany marks outside of the circles. If you need to change an answer, be sure to eraseyour first answer completely.For other questions, you will need to fill in an answer grid. Directions for completingquestions with answer grids are provided on the next page.If a question asks you to show or explain your work, you must do so to receive fullcredit. Write your response in the space provided in this Test & Answer Booklet.Only responses written within the provided space will be scored.226

Mathematics Session 2Directions for Completing Questions with Answer Grids1.Work the question and find an answer.2.Enter your answer in the answer boxes at the top of the answer grid.3. Print only one number or symbol in each box. Do not leave a blank box inthe middle of an answer.4. Under each answer box, fill in the circle that matches the number orsymbol you wrote above. Make a solid mark that completely fills thecircle.5.Do not fill in a circle under an unused answer box.6. Fractions cannot be entered into an answer grid and will not be scored.Enter fractions as decimals.7. If you need to change an answer, be sure to erase your first answercompletely.8.See below for examples of how to correctly complete an answer grid.EXAMPLES– 1 4–\ \ \ \\ \ \ \0000000\\\\\\\1 \11 \1 \1 \1 \1 \\222222\\\\\\\ 23 \33 \3 \3 \3 \3 \\444444\\\\\\\ 45 \55 \5 \5 \5 \5 \\666666\\\\\\\ 67 \77 \7 \7 \7 \7 \\888888\\\\\\\ 89 \99 \9 \9 \9 \9 \\65 . 34 8 3 1 6–\ \ \ \\ \ \ \0000000\\\\\\ \1 \11 \1 \1 \1 \1 \\2222222\\\\\\ \3333333\\\\\\ \4444444\\\\\\ \5555555\\\\\\ \6666666\\\\\\ \7777777\\\\\\ \8888888\\\\\\ \9999999\\\\\\ \–\ \ \ \\ \ \ \0000000\\\\\\ \1 \11 \1 \1 \1 \1 \\2222222\\\\\\ \3333333\\\\\\ \4444444\\\\\\ \5555555\\\\\\ \6666666\\\\\\ \7777777\\\\\\ \8888888\\\\\\ \9999999\\\\\\ \2279 . 5 5 5 5–\ \ \ \\ \ \ \0 \00 \0 \0 \0 \0 \\1 \11 \1 \1 \1 \1 \\2 \22 \2 \2 \2 \2 \\3 \33 \3 \3 \3 \3 \\4 \44 \4 \4 \4 \4 \\5 \55 \5 \5 \5 \5 \\6 \66 \6 \6 \6 \6 \\7 \77 \7 \7 \7 \7 \\8 \88 \8 \8 \8 \8 \\9 \99 \9 \9 \9 \9 \\

Mathematics MA251299 OPaAWhich of the following is less than 20 ?3A204B213C6.75D20.3MA703148718sSession 2OPA,CA basket of fruit contains 6 apples, 5 oranges, 3 bananas, and 2 limes.Which of the following statements about the fruits in the basket are true?Select the two correct statements.AThe ratio of oranges to limes is 5:2.BThe ratio of apples to bananas is 3:6.CThe ratio of bananas to the total number of fruits in the basket is 3:16.DThe ratio of limes to apples is 1:4 because there are 4 more apples thanlimes.EThe ratio of bananas to limes is 2:3 because 2 of the fruits in the basket3are bananas.228

Mathematics MA293846dOPSession 2BOn Saturday, a gymnast walked a distance of x miles. On Sunday, thegymnast walked half the distance that he walked on Saturday.Which expression represents the total number of miles the gymnast walkedon Saturday and Sunday?Ax xBx xCx–x2Dx x2MA311659 PAf22OPBA book club has 36 members. There are 24 boys and 12 girls in the club.What is the ratio of the number of boys in the club to the number of girlsin the club?A12:24B24:12C24:36D36:24229

Mathematics Session 2This question has four parts. Be sure to label each part of your response.MA713935781gOPXThis table shows the number of minutes a student spent drawing each dayfor 6 days.Time Spent DrawingDayNumber ofMinutes12028316440515645A. Based on the table, what is the median number of minutes the studentspent drawing each day for the 6 days? Show or explain how you got youranswer.B. Based on the table, what is the mode of the numbers of minutes thestudent spent drawing each day for the 6 days? Show or explain how yougot your answer.C. Based on the table, what is the mean number of minutes the studentspent drawing each day for the 6 days? Show or explain how you got youranswer.D. The student also spent time drawing on Day 7. The mean number ofminutes the student spent drawing each day for all 7 days is 30 minutes.How many minutes did the student spend drawing on Day 7? Show orexplain how you got your answer.230

Mathematics Session 2g231

Mathematics MA307345hOPSession 2BA kitchen cabinet is in the shape of a rectangular prism. The height of thecabinet is 2 yards. The dimensions of the base of the cabinet are shown inthis diagram.1yard32yard3What is the volume, in cubic yards, of the kitchen cabinet?A29B49C2D3232

Mathematics MA713678325 PAjOPSession 2B;EA student wrote this expression.2(5x 3)Which of the following expressions are equivalent to the student’sexpression?Select the two equivalent expressions.A10x 3B10x 6C25x 3D(5x 3)(5x 3)E(5x 3) (5x 3)MA703176270PAkOPA, C, EWhich expressions each have a value of 64?Select the three correct answers.A26B34C43D62E82233

Mathematics Session 2This question has two parts.MA714375741 PAlOPC, APart AFour points are shown on this coordinate plane.yB987654321-9 -8 -7 -6 -5 -4 -3 -2 -1 0-1-2-3C-4-5-6-7-8-9A1 2 3 4 5 6 7 8 9xDWhich ordered pair represents the location of point A on the coordinateplane?A( 6, 4)B( 4, 6)C(4, 6)D(6, 4)234

Mathematics Session 2Part BPoint E is represented by the ordered pair ( 8, 5). A student will reflect thepoint over the x-axis.Which ordered pair will represent point E after it has been reflected over thex-axis?A( 8, 5)B( 5, 8)C(5, 8)D(8, 5)MA311661;OPAThe ratio of mass to volume for a type of metal is 27 grams to10 cubic centimeters. A sample of the metal has a mass of 81 grams.What is the volume, in cubic centimeters, of the sample of metal?A30B64C118D810235

Mathematics MA3072942)OPSession 2BA parent needs 1 cup of lemonade mix to make one pitcher of lemonade.41She hascup of lemonade mix.3Which of the following expressions represents the number of pitchers oflemonade that the parent can make with 1 cup of lemonade mix?3A1 134B1 134C1 134D1 134236

Rhode Island Comprehensive Assessment SystemGrade 6 Mathematics Reference SheetCONVERSIONS1 cup 8 fluid ounces1 inch 2.54 centimeters1 pint 2 cups1 meter1 quart 2 pints1 mile 5280 feet1 kilogram1 gallon 4 quarts1 mile 1760 yards1 ton 2000 pounds1 gallon1 liter3.785 liters1 mile0.264 gallon1 pound 16 ounces1 pound39.37 inches0.454 kilogram2.2 pounds1.609 kilometers1 kilometer0.62 mile1 liter 1000 cubic centimetersAREA (A) FORMULASVOLUME (V) FORMULASsquare . . . . . . . . . . . A s 2right rectangular prism . . . . . V lwh(l length; w width; h height)rectangle . . . . . . . . . A bhORORV BhA lw(B area of base; h height)parallelogram . . . . . . A bhtriangle . . . . . . . . . . A 1 bh2(b length of base; h height)237

Grade 6 MathematicsSpring 2019 Released Operational .A.4SR219Geometry6.G.A.3SR5220Expressions andEquations6.EE.C.9SR6221The Number R92256.RP.A.3SR10228The Number System6.NS.C.7SR11228Ratios and s andEquations6.EE.B.6SR13229Ratios and ProportionalRelationships6.RP.A.1SR14230Statistics and EE.A.3SR172336.EE.A.1SR18234–235The Number System6.NS.C.6SR19235Ratios and ProportionalRelationships6.RP.A.3SR20236The Number System6.NS.A.1SRRatios and ProportionalRelationshipsExpressions andEquationsExpressions andEquationsRatios and ProportionalRelationshipsExpressions andEquationsExpressions andEquationsItem DescriptionGiven a real-world context, determine the unitrate.Choose the graph of the solution set of aninequality on a number line.Identify an expression that can be used to findthe surface area of a net consisting of rectanglesand triangles.Given the coordinates of the vertices of atriangle, determine the length of a side.Analyze a graph to determine the unit rate in areal-world context.Given one factor, determine a possible productby using common factors and common multiplesin a real-world context.Determine which group of right rectangularprisms with fractional edge lengths can becompletely filled with unit cubes.Create and solve equations that represent a givenreal-world context.Use ratios to solve a real-world probleminvolving a given rate.Using the context of improper fractions anddecimals, determine which rational number isless than a given rational number.Select ratios that correctly describe given ratiorelationships in a real-world context.Determine which expression can be used torepresent a given situation with real-worldcontext.Determine which ratio represents a given realworld context.Find and describe the median, mode, and meanof a data set; then given the mean, determine thevalue of an unknown number in another data set.Given a diagram and a verbal description,determine the volume of a rectangular prism.Identify equivalent expressions by using theDistributive Property.Determine if expressions with exponents areequivalent to a given value.Determine which ordered pair represents apoint's location on a coordinate plane and whichordered pair represents the image of a point aftera reflection.Determine the volume of a solid by using rateand ratio reasoning within a real-world context.Determine which expression represents a realworld problem involving division of a fractionby a AB* Mathematics item types are: selected-response (SR), short-answer (SA), and constructed-response (CR).** Answers are provided here for selected-response and short-answer items only. Sample respo

Mathematics Reference Sheet. A copy of the reference sheet follows the final question in this chapter. An image of the ruler is not reproduced in this publication. During both Mathematics test sessions, the use