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Released FormEASEDNorth CarolinaREADY End-of-GradeAssessmentMathematicsRELGrade 6Student BookletAcademic Services and Instructional SupportDivision of Accountability ServicesCopyright ã 2013 by the North Carolina Department of Public Instruction. All rights reserved.

GRADE 6 MATHEMATICS—RELEASED FORMSample QuestionsA10 milesB14 milesC21 milesD24 milesDS2Kerry walks 3 miles each day. How far will she walk in 7 days?What number is represented by point P on the number line below?PSES1ELWhat fraction of the circle is shaded?RS3EA–10 –9 –8 –7 –6 –5 –4 –3 –2 –110

GRADE 6 MATHEMATICS—RELEASED FORM1Joe will go to the swimming pool on 20 different days this month. A one-day pass to the pool is 2.25. A monthly pass to the pool is 30.00.B 18C 15D 12SE 20A rectangular parking lot has an area of 2 of a square kilometer. The width is 1 of23A13B23C11D123ELEAa kilometer. What is the length, in kilometers, of the parking lot?R2ADHow much money will Joe save by buying a monthly pass?32Go to the next page.

GRADE 6 MATHEMATICS—RELEASED FORM 78.00B 78.25C 78.50D 78.75DAHannah babysits to earn money.She charges 6.50 to babysit for the first hour. She charges 5.75 for each additional hour. Let n equal the number of hours after the first hour.SE A12.25nB6.50 5.75nC6.50n 5.75D6.50n 5.75nEAWhich expression represents how much Hannah charges?EL4The price of a theater ticket increased from 7.50 to 7.75. The theater sold315 tickets at the higher price. With the price increase, how much more did thetheater earn on the tickets?R33Go to the next page.

GRADE 6 MATHEMATICS—RELEASED FORM337B17C3343D1343SEAD70EAWhich choice shows a set of data that could be represented by the box plot shownbelow?5A1, 3, 5, 6, 7, 7, 8, 13, 19, 20B1, 3, 5, 6, 6, 8, 13, 14, 19, 20C1, 2, 3, 5, 7, 8, 8, 13, 19, 20D1, 5, 5, 6, 6, 6, 8, 13, 19, 20101520EL6( )?What is the value of 1R54Go to the next page.

GRADE 6 MATHEMATICS—RELEASED FORMQuestions 7 through 15 require you to write your answers in the boxesprovided on your answer sheet. Write only one number or symbol in each boxand fill in the circle in each column that matches what you have printed. Fill inonly one circle in each column.7A recipe requires 1 lb of onions to make 3 servings of soup. Mark has 1 1 lb of428SEDonions. How many servings can Mark make?A rectangular room has an area of 131 1 square feet. The length of the room is412 1 feet. What is the width, in feet, of the room?ELAllen is building birdhouses that require 1 -ft-long boards. How many pieces that2are exactly 1 ft long can be made from a board that is 8 1 ft long?R9EA2245Go to the next page.

GRADE 6 MATHEMATICS—RELEASED FORM10How much money should John get back when he uses 10.00 to pay for purchasestotaling 5.25?Express the answer as dollars.cents.What is the product of 2.52 and 3.4?12At a store, Susan selected a pumpkin that weighed 35.2 ounces.SED11Pumpkins cost 1.80 per pound. There are 16 ounces in 1 pound.EA ELHow much did Susan’s pumpkin cost?RExpress the answer as dollars.cents.6Go to the next page.

GRADE 6 MATHEMATICS—RELEASED FORM() ()3What is the greatest whole number that is less than 514What is the value of 1 x 2 2, when x 3?15Heather earns 8.00 per hour for walking a dog. How many hours must she workto earn 256.00?2 34213?RELEASED37Go to the next page.

GRADE 6 MATHEMATICS—RELEASED FORMThis is the end of the calculator inactive test questions.Directions:1. Look back over your answers for the calculator inactive questions. Youwill not be able to go back and work on these questions once you aregiven a calculator.2. Raise your hand to let your teacher know you are ready to begin thecalculator active test questions.RELEASED3. Do not begin work on the calculator active test questions until yourteacher has given you a calculator.8

GRADE 6 MATHEMATICS—RELEASED FORM18A5B10C25D30B27 unitsC33 unitsD48 unitsSE21 unitsEAADThe ratio of nitrogen to potassium in a sample of soil is 12:9. The sample has36 units of nitrogen. How much potassium does the sample have?To clean a tank, 3 cup of disinfectant is needed for every 2 gallons of water. HowEL17One serving of Mike’s crackers has 150 calories and a mass of 30 grams. Howmany calories are in 6 grams of the crackers?4many cups of disinfectant are needed for 20 gallons of water?A71B15C22 1D30R16229Go to the next page.

GRADE 6 MATHEMATICS—RELEASED FORM19A laundry detergent is sold at four stores.StoreHawkin’s StoreDon’s StoreAllen’s MarketValue MarketSize (ounces)60544840Price 6.50 5.50 5.61 4.50Don’s StoreCAllen’s MarketDValue MarketSEBEAHawkin’s StoreMarcy is taking two types of medicine.She takes one medicine every 6 hours. She takes the other medicine every 4 hours. She takes both medicines at 9:00 a.m.EL At what time will Marcy take both medicines together again?R20ADWhich store has the lowest price per ounce?A1:00 p.m.B3:00 p.m.C5:00 p.m.D9:00 p.m.10Go to the next page.

GRADE 6 MATHEMATICS—RELEASED FORM21Jeff recorded the average temperatures for six months. He will display thetemperatures on a number line.MonthDecemberTemperature ( hBJanuaryCAprilDMayELEADecemberA trapezoid in a coordinate plane has vertices ( 2, 5), ( 3, 2), (2, 2), and (1, 5).What is the height of the trapezoid?R22ASEOn the number line, which month’s temperature will be between February’s andMarch’s temperatures?A3 unitsB5 unitsC7 unitsD9 units11Go to the next page.

GRADE 6 MATHEMATICS—RELEASED FORM17 less than twice a number xBthe difference between 17 and twice a number xCa number x squared, subtracted from 17D17 less than a number x squared5x 6yB5x 7yC5x 9yD7x 7ySEADWhich expression is equivalent to 5y 2y 6x 2y – x?EA25ADiana can use the equation y 7x to calculate her pay, where y represents theamount of pay, and x represents the number of hours worked. How many hoursdid Diana work if she was paid 45.50?EL24Which can be represented by the expression 17 – 2x?A5.5 hoursB6 hoursC6.5 hoursD7 hoursR2312Go to the next page.

GRADE 6 MATHEMATICS—RELEASED FORMA27B32C96D111DKaren recorded her walking pace in the table below. What equation bestrepresents this relationship?2.5Ah m 10Bh 3.5mCm h 10Dm 3.5h8.7514EA4SEHours Walked (h) Miles Walked (m)EL27If y – 18 14, what is the value of 3(y 5)?R2613Go to the next page.

GRADE 6 MATHEMATICS—RELEASED FORMThe shaded area indicates the parking lot at a shopping center.yERCGNPIOPSHTENSEPARKING LOTDx72 units2B86 units2C91 units2D120 units2ELAEAWhat is the total area of the parking lot?R2814Go to the next page.

GRADE 6 MATHEMATICS—RELEASED FORM29The right rectangular prism below is made up of 8 cubes. Each cube has an edgelength of 1 inch.22 cubic inchesC4 cubic inchesD8 cubic inchesSEBEA1 cubic inchWhat is the area of the quadrilateral with vertices at ( 1, 0), (2, 0), (2, 5), andEL( 1, 5)?A15 square unitsB12 square unitsC10 square unitsD5 square unitsR30ADWhat is the volume of this prism?15Go to the next page.

GRADE 6 MATHEMATICS—RELEASED FORMThe net of a triangular right prism is shown below.8 in.10 in.SED3 in.EL5 in.EA5 in.What is the surface area of the prism?R31A204 in.2B228 in.2C240 in.2D288 in.216Go to the next page.

GRADE 6 MATHEMATICS—RELEASED FORMThe data below represents the numbers of books that twelve students read.2, 4, 7, 8, 9, 12, 14, 18, 19, 21, 30, 32Which box plot correctly summarizes the data?ANumbers of Books10B203040D00CEASENumbers of Books1020304030403040ELNumbers of BooksR32010D20Numbers of Books0102017Go to the next page.

GRADE 6 MATHEMATICS—RELEASED FORM33Which box plot represents a set of data with the largest interquartile range?A18 20 22 24 26 28 30 32BD18 20 22 24 26 28 30 32SEC18 20 22 24 26 28 30 32EADA company that makes boxes finds that 3 out of 20 boxes are damaged. Whatpercent of the boxes are damaged?R34EL18 20 22 24 26 28 30 32A12%B15%C25%D34%18Go to the next page.

GRADE 6 MATHEMATICS—RELEASED FORM35Jack drew a number line on his paper.EFGHIJ37BI and JCF and GDH and ISEG and H25.6B30.6C160D180ELAEAValerie is 64 inches tall. About how many centimeters tall is Valerie?(1 inch 2.5 centimeters)Which point on the number line represents the number 4 1 ?R36ADJack drew a new point 45% of the distance from point E to point J. Between whichtwo letters does the new point Go to the next page.

GRADE 6 MATHEMATICS—RELEASED FORMThis table shows the number of miles four friends travel to get to school.StudentDistance to School helleDTroyEABELAndieIn the coordinate plane, what is the distance between ( 3, 5) and ( 3, 8)?A3 unitsB6 unitsC8 unitsD13 unitsR39ASEWho travels the greatest distance to school?D3820Go to the next page.

GRADE 6 MATHEMATICS—RELEASED FORM40A4x 8yB4x 2yCx 8yD8xyWhich expression represents the perimeter of the triangle?SED41Which choice is equivalent to the expression 4(x 2y)?2k 16EA3k 515 4k429k 36B10k 25C20k 25D24k 36RELAThe length of a rectangle is 6 units longer than the width, w. Which choice is acorrect expression for the perimeter of the rectangle?A2w 6B2w 12C4w 6D4w 1221Go to the next page.

GRADE 6 MATHEMATICS—RELEASED FORM43Jane wants to visit her sister. Her car travels x miles per gallon of gas. She will travel 1,000 miles to her sister’s house. Gas costs 3.50 per gallon.Which expression shows how much Jane will spend for gas on the trip to hersister’s house?1,000(3.50x)B3.50 1,000xC3.50 x 1,000 D1,000D)SE(EA1( 3.50x)ELSuppose that a stove and a freezer together weigh at least 370 pounds. Theweight of the stove is 170 pounds. Which inequality correctly describes theseconditions for the weight of the freezer, f ?Af 200Bf 200Cf 200Df 200R44A22Go to the next page.

GRADE 6 MATHEMATICS—RELEASED FORMThe Wilsons want to put outdoor carpet on their porch.12 ft6 ftPorch12 ft6 ftD6 ftB72 ft2C108 ft2D144 ft2EA42 ft2ELASEHow much carpet will be needed for their porch?R4523Go to the next page.

GRADE 6 MATHEMATICS—RELEASED FORMWhat is the volume of the right rectangular prism below?2 inches11 2 inches14 3 cubic inchesB4 1 cubic inchesC3 3 cubic inchesD2 1 cubic inchesSEA4EL8EA84D1 4 inchesR4624Go to the next page.

GRADE 6 MATHEMATICS—RELEASED FORMIn the graph below, each grid square represents one square yard.y 6 5 4 3 2 1–6 –5 –4 –3 –2 –1 0–1 1 2 3 4 5 6D–2x–3SE–4–5–620 yd2B30 yd2C36 yd2D40 yd2ELAEAWhat is the area of the shaded figure?R4725Go to the next page.

GRADE 6 MATHEMATICS—RELEASED FORM48Abby is making a decoration. When folded, the decoration is a triangular pyramidmade of four congruent equilateral triangles. Approximately, what is the surfacearea of Abby’s decoration?6.06 in.B85 in.2C97 in.2D170 in.2SE64 in.2EAAA81B84C95D99ELKatherine earned 84, 92, 84, 75, and 70 on her first 5 tests. What is the minimumgrade Katherine needs to earn on the next test to have a mean of 84?R49D7 in.26Go to the next page.

GRADE 6 MATHEMATICS—RELEASED FORMThe weather station recorded the high temperature each day for 30 days. Thegraph of the temperature data is shown below.High Temperatures9876543DNumber of Days20SE131–40 41–50 51– 60 61–70 71– 80 81– 90Temperature ( F)41–50B51–60C61–70D71–80ELAEAIn which interval is the median temperature?R5027Go to the next page.

GRADE 6 MATHEMATICS—RELEASED FORMDirections:This is the end of the mathematics test.1. Put all of your papers inside your test book and close your test book.2. Place your calculator on top of the test book.RELEASED3. Stay quietly in your seat until your teacher tells you that testing isfinished.28

GRADE 6 MATH—RELEASED FORMGrade 6 MathRELEASED Form2012–2013Answer KeyTypeKeyS1MCCS2GR-7S3GR3/4 or .75DomainDItem NumberSECalculator InactiveTypeKey1MCCNS — The Number System2MCCNS — The Number System3MC4MC5MC7NS — The Number SystemBEE — Expressions and EquationsDEE — Expressions and EquationsMCASP — Statistics and ProbabilityGR18NS — The Number SystemGR10.5NS — The Number SystemR8DEL6DomainEAItem Number9GR16NS — The Number System10GR4.75NS — The Number System11GR8.568NS — The Number System12GR3.96NS — The Number System13GR27EE — Expressions and Equations14GR5EE — Expressions and Equations15GR32EE — Expressions and Equations

GRADE 6 MATH—RELEASED FORMCalculator ActiveTypeKey16MCDRP — Ratio and Proportional Relationships17MCBRP — Ratio and Proportional Relationships18MCARP — Ratio and Proportional Relationships19MCBRP — Ratio and Proportional Relationships20MCDNS — The Number System21MCANS — The Number System22MCCNS — The Number System23MCBEE — Expressions and Equations24MCCEE — Expressions and Equations25MCCEE — Expressions and Equations26MCDEE — Expressions and Equations27MCDEE — Expressions and Equations28MCBG — Geometry29MCAG — GeometryMCAG — GeometryMCAG — GeometryMCCSP — Statistics and Probability33MCDSP — Statistics and Probability34MCBRP — Ratio and Proportional Relationships35MCARP — Ratio and Proportional Relationships36MCCRP — Ratio and Proportional Relationships37MCANS — The Number System31R32SEEAEL30DomainDItem Number

GRADE 6 MATH—RELEASED FORMTypeKey38MCBNS — The Number System39MCDNS — The Number System40MCAEE — Expressions and Equations41MCAEE — Expressions and Equations42MCDEE — Expressions and Equations43MCBEE — Expressions and Equations44MCAEE — Expressions and Equations45MCCG — Geometry46MCCG — Geometry47MCBG — Geometry48MCBG — Geometry49MCDSP — Statistics and Probability50MCBSP — Statistics and ProbabilitySEEAELItem Types:MC multiple choiceGR gridded responseDomainDItem NumberRLinks to instructions for the gridded-response items can be found on the mainaccountability page.

1. Look back over your answers for the calculator inactive questions. You will not be able to go back and work on these questions once you are given a calculator. 2. Raise your hand to let your teacher know you are ready to begin the calculator active test questions. 3. Do not begin work on the calculator active test questions until your