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MCAS Grade 6 Mathematics Practice Test

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MASSACHUSETTS COMPREHENSIVE ASSESSMENT SYSTEMPRACTICE TESTMathematicsGrade 6Student NameSchool NameDistrict Name

Grade 6 MathematicsSESSION 1This session contains 8 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 Practice Test Booklet.For some questions, you will mark your answers by filling in the circles in yourPractice Test Booklet. Make sure you darken the circles completely. Do not make anymarks outside of the circles. If you need to change an answer, be sure to erase yourfirst 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. Only responses written within theprovided space will be scored.2Go On

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\ \ \ \\ \ \ \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 \\–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\\\\\\ \3MCAS 2018 MATH Gr6 PT9 . 5 5 5 5–\ \ \ \\ \ \ \000 \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 \\Go On

Mathematics PRACTESTG6GMPCqSession 1AA dairy farmer delivered milk over two days. On Monday, he used 5 gallons of fuel to drive 40 miles. On Tuesday, he drove 120 miles at an average rate of 10 miles per gallonof fuel.Which of the following sentences about the miles traveled per gallon of fuel onMonday and the number of gallons of fuel used on Tuesday is true?AThe dairy farmer drove at an average rate of 8 miles per gallon of fuel onMonday, and used a total of 12 gallons of fuel on Tuesday.BThe dairy farmer drove at an average rate of 0.125 miles per gallon of fuelon Monday, and used a total of 0.1 gallon of fuel on Tuesday.CThe dairy farmer drove at an average rate of 40 miles per gallon of fuel onMonday, and used a total of 120 gallons of fuel on Tuesday.DThe dairy farmer drove at an average rate of 5 miles per gallon of fuel onMonday, and used a total of 10 gallons of fuel on Tuesday.4Go On

Mathematics PPRACTESTG6GPCGPCwSession 1BThe location of point T is shown on this coordinate plane.1 unity1 unit54321-5 -4 -3 -2 -1 0-1-2-3-41 2 3 4 5xT-5Point S is located 5 units to the right of point T.Which of the following graphs shows the location of point S?1 unitAyy1 unit5432111 2 3 4 5x-5 -4 -3 -2 -1 0-1-2-3-4-5T1 unitCy54-4-5xS1 unit1 unit5432111 2 3 4 5Ty1 unitS1 2 3 4 5D32-5 -4 -3 -2 -1 0-1-2-31 unit5432-5 -4 -3 -2 -1 0-1-2-3S-4-51 unitBx-5 -4 -3 -2 -1 0-1-2-3-4TS1 2 3 4 5xT-55Go On

Mathematics MA815748444PCDThis table shows the weight, in pounds, of 15 pumpkins that are for sale ata farm.518612 1081379416411715Which of the following histograms correctly represents the data?Pumpkins for Sale8765432100–45–9 10–14 15–20Weight of Pumpkins (pounds)321Number of Pumpkins6543218765432100–45–9 10–14 15–20Weight of Pumpkins (pounds)60–45–9 10–14 15–20Weight of Pumpkins (pounds)Pumpkins for SaleD870876540Pumpkins for SaleCPumpkins for SaleBNumber of PumpkinsNumber of PumpkinsANumber of PumpkinseSession 10–45–9 10–14 15–20Weight of Pumpkins (pounds)Go On

Mathematics PRACTESTG6GINLPCrBWhich of the following number lines shows the solution set for x 4?ABCDPRACTESTG6MTGPCtSession 1–4 –3 –2 –1 0123456–4 –3 –2 –1 0123456–4 –3 –2 –1 0123456–4 –3 –2 –1 0123456A,EWhich of the following division equations are true?Select the two division equations that are true.A128 16 8B276 9 35C684 6 228D749 11 43E684 3 2287Go On

Mathematics PRACTESTG6MS2PCySession 1BWhich of the following graphs shows a triangle with vertices located at(4, 2), (1, 2), and (4, 5) on the coordinate plane?AyB654321-6 -5 -4 -3 -2 -1 0-1-2-3-4-5-6C6543211 2 3 4 5 6xy-6 -5 -4 -3 -2 -1 0-1-2-3-4-5-6D654321-6 -5 -4 -3 -2 -1 0-1-2-3-4-5-6y1 2 3 4 5 6xy6543211 2 3 4 5 6x8-6 -5 -4 -3 -2 -1 0-1-2-3-4-5-61 2 3 4 5 6xGo On

Mathematics Session 1PRACTESTG6LPPC DuA student asks 10 classmates how many hours they each spent reading lastweek. The student creates this chart to show the responses.Hours Spent Reading7, 6, 5, 8, 5, 4, 7, 5, 6, 8Which dot plot shows the number of hours the classmates spent readinglast week?ACHours Spent ReadingBHours Spent Reading0 1 2 3 4 5 6 7 8 9 100 1 2 3 4 5 6 7 8 9 10HoursHoursHours Spent ReadingDHours Spent Reading0 1 2 3 4 5 6 7 8 9 100 1 2 3 4 5 6 7 8 9 10HoursHours9Go On

Mathematics Session 1This question has three parts. Be sure to label each part of your response.MA825663713PCiXThis table shows the amount, in pounds, of snow that Andy can remove overtime using a shovel.Snow Removal Using a ShovelTime (minutes)1234Snow Removed(pounds)8016024032056480A. Based on the table, what is the amount, in pounds, of snow that Andy canremove in 5 minutes using a shovel? Show or explain how you got your answer.B. On the coordinate plane provided in your answer space, plot the data fromthe table to show the amount of snow that Andy can remove over time.C. Based on your graph in Part B, what is the amount, in pounds, of snow thatAndy can remove in 7 minutes? Show or explain how you got your answer.10Go On

Mathematics Session 1iy560520Snow Removed 789 10 11 12 13 14Time (minutes)11

Grade 6 MathematicsSESSION 2This session contains 8 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 Practice Test Booklet.For some questions, you will mark your answers by filling in the circles in your PracticeTest Booklet. Make sure you darken the circles completely. Do not make any marksoutside of the circles. If you need to change an answer, be sure to erase your firstanswer 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. Only responses written within theprovided space will be scored.12Go On

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\ \ \ \\ \ \ \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 \\–4 8 3 1 6–\ \ \ \\ \ \ \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 . 3–\ \ \ \\ \ \ \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 \\139 . 5 5 5 5–\ \ \ \\ \ \ \0000000\\\\\\ \1 \11 \1 \1 \1 \1 \\2222222\\\\\\ \3333333\\\\\\ \4444444\\\\\\ \5555555\\\\\\ \6666666\\\\\\ \7777777\\\\\\ \8888888\\\\\\ \9999999\\\\\\ \Go On

Mathematics Session 2PRACTESTG6ICPC CoThe table shows the colors of 18 cars on the street.Number of Cars ofEach ColorCar ColorNumberRed6Blue4Black3White5Based on the information shown in the table, what could the ratio 3:6 describe?AThe ratio 3:6 could describe the number of red cars to the number of blackcars on the street.BThe ratio 3:6 could describe the number of blue cars to the number of whitecars on the street.CThe ratio 3:6 could describe the number of black cars to the number of redcars on the street.DThe ratio 3:6 could describe the number of white cars to the number of bluecars on the street.14Go On

Mathematics MA282348aSession 2XA right triangle and its dimensions are shown in this diagram.26 meters10 meters24 metersWhat is the area, in square meters, of the triangle?Enter your answer in the answer boxes at the top of the answer grid andcompletely fill the matching circles.–\ \ \ \\ \ \ \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 \\15Go On

Mathematics MA307268sSession 2BA student earns 12 each time he shovels his neighbor’s driveway. He earned atotal of 108 shoveling the driveway last winter. Which of the following equationscould be used to find w, the number of times the student shoveled his neighbor’sdriveway last winter?A108w 12B12w 108Cw 12 108D108 w 1216Go On

Mathematics MA311713dSession 2DLuke recorded the number of days it rained each month for 12 months. He madea box plot to represent the data, as shown.Number of Days of Rain Per Month02468101214161820What is the interquartile range of the data in Luke’s box plot?A11B9C8D517Go On

Mathematics PRACTESTG6GSNLPCfDWhich of the following plotted points represents the location of the number thatis the opposite of 9?ABCD–10 –8–6–4–20246810–10 –8–6–4–20246810–10 –8–6–4–20246810–10 –8–6–4–20246810NEWpractestG6MSgSession 2A, C, EWhich of the following equations with exponential expressions are true?Select the three correct equations.A23 2 2B32 2 2C45 4 4D5 5 25E6 6 6 63F7 7 7 2 47 4 47 7 7 7118Go On

Mathematics PRACTESTG6FMPChBSession 28A group of 4 students will shareof a pizza. Each student will receive the12same amount of pizza.Which of the following models is shaded to represent the fraction of the pizzathat each of the 4 students will receive?ABCD19Go On

Mathematics Session 2This question has two parts.MA815748696PCjA student used congruent cubes to build a right rectangular prism. The prismand its dimensions are shown in this diagram.1 in.2 in.3 in.Part AWhat is the volume, in cubic inches, of the prism?A6B12C36D48Part BWhat is the volume, in cubic inches, of 1 of the cubes?A1B12C14D1820

MCAS_2018_MATH_Gr6_PT. Mathematics. Session 1. . all answers in this Practice Test Booklet. For some questions, you will mark your answers by filling in the circles in your Practice . Test Booklet. Make sure you darken the circles completely. Do not make any marks outside of the circles. I