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XII. 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 MCAS Resource Center website at mcas.pearsonsupport.com/released-items.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 for Mathematics is available on the Department website tics test results are reported under five MCAS 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.267

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.268

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 \\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\\\\\\ \2699 . 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 26270

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)22222712222

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?A2B3C6D7272

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 40273

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?A299B281C273D261274

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.22 ft.1ft.2D31 4 ft.1 ft.2 ft.1ft.41ft.23 ft.2751ft.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.276

Mathematics Session 1i277

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 minutes278

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.279

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 \\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\\\\\\ \2809 . 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 \\