`NameRELEASED FORMGrade 6 Form UUNorth CarolinaEnd-of-Grade Tests--Grade 6RELPublic Schools of North CarolinaMathematics­Calculator Active Mathematics­Calculator Inactive (page 17)www.ncpublicschools.org State Board of Education Department of Public Instruction Division of Accountability Services/North Carolina Office of Accountability and Technology Services Testing Program Raleigh, of Accountability Services/North Carolina Testing Program Division North Carolina 27699-6314 Raleigh, North Carolina 27699-6314  2007 All rights reserved. This document may not be reproduced by any means, in whole or in part, without prior  2009 All rights reserved. This document may not be reproduced by any means, in whole or in part, without prior 2004 written permission from the North Carolina Department of Public Instruction, Raleigh, North Carolina. written permission from the North Carolina Department of Public Instruction, Raleigh, North Carolina.EA SE DEOG7 4 1 0 8 5 2 +/_ 9 6 3 . / * _ +NCDPINorth Carolina Test of Mathematics. Grade 6 Form U RELEASED Fall 20091.What is the relationship between  ABC and  XYZ ?ZAXCA B C DBoth are about 90°.Both are about 45°.Both are straight angles. Both are obtuse angles.2.The dimensions of Joe's rectangular garden are 18 feet by 12 feet. Joe wants to conduct an experiment to determine whether using fertilizer in the garden makes a difference. The fertilizer costs \$0.45 per square foot of ground covered. How much will it cost to cover half of the garden with fertilizer? A B C\$216.00\$97.20RPage 1EL\$48.60 \$24.30DEA SE DY D B EGo to next pageEOG7 4 1 0 8 5 2 +/_ 9 6 3 . / * _ +NCDPINorth Carolina Test of Mathematics. Grade 6 Form U RELEASED Fall 20093.A baker has a circular cake pan that has a radius of 10 cm. What is the approximate area of the bottom of the cake pan? A B C D1,257 cm 2 314 cm 263 cm 2 31 cm 25.The clock in Mr. Neal's classroom has a circumference of 34.5 inches. What is the approximate diameter of the clock?A B C2 inches 6 inches4.What is the distance from the center of a circle to any point on the circle? A B C Dradiuscircumference diameterchordRPage 2ELGo to next pageEA SE D11 inchesD22 inchesEOG7 4 1 0 8 5 2 +/_ 9 6 3 . / * _ +NCDPINorth Carolina Test of Mathematics. Grade 6 Form U RELEASED Fall 20096.Which picture shows only a translation of polygon ABCDE?AyByABCABRELPage 3 Go to next pageEA SE DEAxExC DC DByDyEAExxC DC DBEOG7 4 1 0 8 5 2 +/_ 9 6 3 . / * _ +NCDPINorth Carolina Test of Mathematics. Grade 6 Form U RELEASED Fall 20097.PQR has the coordinatesPQ R has coordinates  1, 2 ,1, 3 , and  0, 4  .Which choice describes the translation of P Q R ?9. 3, 1  ,  5, 2  , and  4, 3  .A B C Dleft 4 units and down 1 unitright 4 units and up 1 unit left 4 units and up 1 unitright 4 units and down 1 unit8.Two parallel lines are located 4 inches apart. A circle with a diameter of 5 inches is drawn in the same plane. What is the maximum number of intersections possible between the two parallel lines and the circle? A B C6 4 3 2ELDRPage 4EA SE DA B2 13 1 5PQR toThere are 2 yellow marbles, 4 red marbles, 6 blue marbles, and 3 green marbles in a bag. Miguel will choose a marble at random from the bag. What is the probability that the marble will be yellow?2 15CD1 910.A restaurant is serving a platter of vegetable strips with 10 pieces of broccoli, 15 carrots, and 5 pieces of cauliflower. What is the probability of choosing a carrot without looking? A1 6B1 3C D1 21Go to next pageEOG7 4 1 0 8 5 2 +/_ 9 6 3 . / * _ +NCDPINorth Carolina Test of Mathematics. Grade 6 Form U RELEASED Fall 200911.Hector has 3 shirts, 3 pairs of shorts, and 2 pairs of shoes in his locker for gym class. How many different outfits consisting of 1 shirt, 1 pair of shorts, and 1 pair of shoes can he make? A B C D3812.12 18RPage 5ELGo to next pageEA SE DA7 8Derek's math teacher put some candy in a brown paper bag. The bag contains 4 lemon, 6 lime, 8 cherry, 2 pineapple, 5 orange, and 5 grape candies. All 14 students ahead of Derek selected a candy to eat, but no one got pineapple. What is the probability that Derek will draw out a pineapple candy?B1 2C7 15 1 8DEOG7 4 1 0 8 5 2 +/_ 9 6 3 . / * _ +NCDPINorth Carolina Test of Mathematics. Grade 6 Form U RELEASED Fall 200913.The 10 students who sell the most magazines in a contest get to draw a card from a box containing 10 cards. The students keep the card they draw. Three cards are red, and the rest are blue. Students who draw a red card win a T-shirt. Students who draw a blue card win a notebook. The table below shows the first three draws. Devon will make the fourth draw.Results of the Card DrawWhat is the probability that Devon will win a T-shirt? A2 7B2 10 3 73 10CDRPage 6ELGo to next pageEA SE DOrder of Draw 1 2 3 4 Student Sarah Evan Tara Color of Card Drawn blue red ? blue DevonEOG7 4 1 0 8 5 2 +/_ 9 6 3 . / * _ +NCDPINorth Carolina Test of Mathematics. Grade 6 Form U RELEASED Fall 200914.The fair spinner below is spun three times.15.Brad used the formula d  n to find5the distance in miles, d, he was from a stroke of lightning. In the formula,Redn is the number of seconds that have elapsed between seeing the lightning and hearing the thunder. How far 30 seconds elapsed between Brad thunder?What is the probability that the spinner will land on red the first time, blue the second time, and red the third time? A1 8 1 2 2 3BCD3 2ELPage 7REA SE DBlueaway was Brad from the lightning if seeing the lightning and hearing the A3 milesB C6 miles9 milesD12 miles16.In designing a gasoline storage tank, an engineer had to use the equation 2.5t = 1.625, where t is the minimum thickness of the walls. What is the required minimum thickness of the walls? A B C D0.25 units0.56 units 0.65 units 1.65 unitsGo to next pageEOG7 4 1 0 8 5 2 +/_ 9 6 3 . / * _ +NCDPINorth Carolina Test of Mathematics. Grade 6 Form U RELEASED Fall 200917.What is the ratio of the amount of rainfall on Wednesday to the amount of rainfall on Friday?Daily Rainfall4A B C D1:8 1:51:33: 518.Which expression has the same value as 4  k  4  3 ?RDELABk   4 +3  3  k  4 4   k  3 4   k +3 CPage 8EA SE D2 1 Monday Tuesday Wednesday Thursday Friday3DayGo to next pageEOG7 4 1 0 8 5 2 +/_ 9 6 3 . / * _ +NCDPINorth Carolina Test of Mathematics. Grade 6 Form U RELEASED Fall 200919.In parallelogram QRST below, what is the approximate measure of QRS ?QTA B C D30°70°110°150°RPage 9ELGo to next pageEA SE DR SEOG7 4 1 0 8 5 2 +/_ 9 6 3 . / * _ +NCDPINorth Carolina Test of Mathematics. Grade 6 Form U RELEASED Fall 200920.What is the perimeter of the rectangle drawn in the coordinate plane?y+6 +5 +4A B C D12 units8 units6 units4 unitsRPage 10ELGo to next pageEA SE D+3 +2 +1 --6 --5 --4 --3 --2 --1 0 --1 --2 --3 --4 --5 --6 +1 +2 +3 +4 +5 +6xEOG7 4 1 0 8 5 2 +/_ 9 6 3 . / * _ +NCDPINorth Carolina Test of Mathematics. Grade 6 Form U RELEASED Fall 200921.The dimensions of a swimming pool are given below in the drawing.23.25 mThe diameter of circle F is 5. Circle G has a diameter that is double that of circle F. Which statement is correct about circle G? A15 m 30 mBThe circumference of circle G is half the circumference of circle F.10 mWhat is the area of the swimming pool? A B C D150 m 2 225 m 2375 m 2 600 m 222.RC DELA16 inchesThe area of a rectangle is 352 square inches. The measure of each of the shorter sides equals the perimeter of a square with 4-inch sides. What is the measure of each of the longer sides of the rectangle?B22 inches44 inches88 inchesPage 11EA SE DThe circumference of circle G is double the circumference of circle F. C D The radius of circle G is half the radius of circle F.The radius of circle G is the same as the radius of circle F.Go to next pageEOG7 4 1 0 8 5 2 +/_ 9 6 3 . / * _ +NCDPINorth Carolina Test of Mathematics. Grade 6 Form U RELEASED Fall 200924.MNO is translated so that N has coordinates (14, 4).y+ +12 11 10 9--6RELWhat are the coordinates of M ? A(6, 4)B C(6, 7)(11, 4)(11, 7)DPage 12EA SE D+ + + + + + + + ++8 7 6 5 4 3 2 1MON--5--4--3--2--1 0 -- 1-- -- -- --+1+2+3+4+5+6+7+8 + 9 + 10 + 11 + 12 + 13 + 14 + 15x2 3 4 5--6Go to next pageEOG7 4 1 0 8 5 2 +/_ 9 6 3 . / * _ +NCDPINorth Carolina Test of Mathematics. Grade 6 Form U RELEASED Fall 200925.On rectangle JKLM, J is located at the point 7, --3 . If JKLM is translated 9 units to the left and 4 units down, where will J be located? A B C D(16, -- 7)(16, 1)()(-- 2, 1)(-- 2, -- 7)26.Circle M is centered at  0, 0  and has a radius of 4. Circle N is centered at 2, 2and has a radius of 3. At howmany points do these two circles intersect? A B C D012 3ELPage 13REA SE D27.as its center. Which of the following on the circle? A pairs of coordinates represent pointsNathan drew a circle on a grid with a radius of 4 units and the point  2, --1  2, --5 and  6, --1 2, 3andB C --1, --1 4, 0 and  0, 4 D 8, --4  and  6, --3Go to next pageEOG7 4 1 0 8 5 2 +/_ 9 6 3 . / * _ +NCDPINorth Carolina Test of Mathematics. Grade 6 Form U RELEASED Fall 200928.A board game has 64 colored cards: 15 red, 9 blue, 10 yellow, 15 green, 10 orange, and 5 purple. What is the probability of choosing a blue or purple card on the first draw? A45 6414 64 9 64 5 6430.Gordon tossed a fair coin 20 times and recorded his results in the table below.HeadsTailsBCD29.Marsha wants to find out how other students at her school get to school each day. Which of the following groups, if surveyed, would give her the most accurate sample of the student body? A B Cher homeroom classRPage 14ELDmembers of the cycling clubthe students on her busstudents waiting in the carpool areaEA SE DBased on the rules of probability, which statement is true? ABGordon will most likely toss tails on the next toss of the coin.The number of heads Gordon actually tossed was greater than the number of heads Gordon was expected to toss. The number of heads Gordon actually tossed was the same as the number of heads Gordon was expected to toss.CDThe number of heads Gordon actually tossed was less than the number of heads Gordon was expected to toss.Go to next pageEOG7 4 1 0 8 5 2 +/_ 9 6 3 . / * _ +NCDPINorth Carolina Test of Mathematics. Grade 6 Form U RELEASED Fall 200931.A6 23 6 24 5 23 5 24BCD32.ELA10 12 24 36Gwen has a drink and a bowl of cereal topped with fruit for breakfast every morning. She has a choice of three cereals that she can top with either bananas, raisins, strawberries, or blueberries. Her drink choices are orange juice, apple juice, or milk. How many different breakfast combination choices does Gwen have?B CRDPage 15EA SE DD2 35 3There are 10 blue candies, 6 brown candies, 5 red candies, and 3 yellow candies in a bag. Patrice is pulling candies out of the bag without looking. She eats each candy she pulls out. If the first candy Patrice pulls out is red, what is the probability that the second one is brown?33.What is the value of x if 3x  4 = 103? A BC2526 133234.Nine children and six adults bought tickets to the circus. Which expression represents the total cost if c represents the cost of a child's ticket and a represents the cost of an adult's ticket? A9c  6aB C6c  9a15 acD15  a  c 35.If H represents Harry's age, and S represents Steve's age, what does the algebraic sentence H = S + 3 mean? A BC D Harry is 3 years older than Steve. Harry is 3 years younger than Steve.Harry is 3 times as old as Steve.Harry and Steve are the same age.Go to next pageEOG7 4 1 0 8 5 2 +/_ 9 6 3 . / * _ +NCDPINorth Carolina Test of Mathematics. Grade 6 Form U RELEASED Fall 200936.The graph below shows the percentage of people who work in managerial, clerical, support, and manufacturing jobs at a company.Company Departments 10% Managerial ClericalWhat is the approximate ratio of manufacturing workers to managerial workers at this company? A B C D1:41:54:1 5:1RPage 16ELSTOPEnd of Mathematics­Calculator Active Go to next pageEA SE D48% 25% Support Manufacturing 17%EOG7 4 1 0 8 5 2 +/_ 9 6 3 . / * _ +NCDPINorth Carolina Test of Mathematics. Grade 6 Form U RELEASED Fall 20091.How is negative five-tenths written numerically? AB--3.What is the greatest common factor of 45 and 60? A B C30.510------0 .555 1530D502.A piece of rope 6.3 meters long is cut into 9 equal pieces. How long is each piece of rope? A B C D0.7 meter 7 meters15.3 meters56.7 metersRPage 17ELGo to next pageEA SE DDCEOG7 4 1 0 8 5 2 +/_ 9 6 3 . / * _ +NCDPINorth Carolina Test of Mathematics. Grade 6 Form U RELEASED Fall 20094. Which number line shows the graph of 3 ? 2A2B10122C2D25.A person can walk at a rate of 2 1 miles per hour. How long would it take the person to2walk 10 miles?A B C D15 minutes 4 hours 10 hours 25 hoursRPage 18ELGo to next pageEA SE D1 0 1 210121012EOG7 4 1 0 8 5 2 +/_ 9 6 3 . / * _ +NCDPINorth Carolina Test of Mathematics. Grade 6 Form U RELEASED Fall 20096.Tom finished 1 of the 30 problems38.Nikki made 2 gallons of punch with fruit juice and ginger ale. The recipe requires 1 1 gallons of 2 ginger ale. What percent of the total recipe is fruit juice?assigned in class. Steven did 3 of10the problems. Juan finished 20% of the problems. Marcus completed 8 out of 30 problems. Who completed the most problems? A B C DTomStevenJuanMarcus7.A salesman at a jewelry store gets paid 30% of the selling price of each piece of jewelry he sells. About how much will he get paid for selling a ring that costs \$495? A B C\$30\$80EL\$120 \$150DRPage 19EA SE DA50%B33 1% 3C25%D10%9.David and three friends had lunch together. They all ordered the same meal except David who had an extra soft drink at a cost of \$1.07 (including tax). The total bill (including tax) was \$10.27. What was David's share of the total bill? A\$1.07 \$2.30 \$2.57\$3.37B CDGo to next pageEOG7 4 1 0 8 5 2 +/_ 9 6 3 . / * _ +NCDPINorth Carolina Test of Mathematics. Grade 6 Form U RELEASED Fall 200910.Which of the following is equivalent 2 4 to 2  33  52 ? 43 512.What is the value of n in the equationn  3  12 ? 6A25 6 5 6 2 3 1 2A B90545 2 3 2BCD11.The vestibule is a small round chamber in the central part of the inner ear. If the vestibule is 0.005 meter long, how is this expressed in scientific notation? A B C D0.5  10 3 m5  10 3 m30.5  10 mRPage 20EL5  10 3 mEA SE DC D13.Evaluate this expression when x = 2 and y = 3.4 x2  3xy2  y2A97 80 7961B CDGo to next pageEOG7 4 1 0 8 5 2 +/_ 9 6 3 . / * _ +NCDPINorth Carolina Test of Mathematics. Grade 6 Form U RELEASED Fall 200914.Simplify: 6b + 4 a + 3a - 2bA B C D4 b + 7a 11ab 9 a - 2b10 a + bSTOPEnd of Mathematics­Calculator InactiveRPage 21ELGo to next pageEA SE DNorth Carolina Test of Mathematics Grade 6 Form U RELEASED Fall 2009 Answer KeyEOGCALCULATOR ACTIVE Item Number 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 Correct Answer B C B A C D C B A C D D A A B C B D C A D B B D D C A B A D A D C A A D Goal 2 ­ Measurement 2 ­ Measurement 2 ­ Measurement 3 ­ Geometry 3 ­ Geometry 3 ­ Geometry 3 ­ Geometry 3 ­ Geometry 4 ­ Data Analysis and Probability 4 ­ Data Analysis and Probability 4 ­ Data Analysis and Probability 4 ­ Data Analysis and Probability 4 ­ Data Analysis and Probability 4 ­ Data Analysis and Probability 5 ­ Algebra 5 ­ Algebra 5 ­ Algebra 5 ­ Algebra 2 ­ Measurement 2 ­ Measurement 2 ­ Measurement 2 ­ Measurement 3 ­ Geometry 3 ­ Geometry 3 ­ Geometry 3 ­ Geometry 3 ­ Geometry 4 ­ Data Analysis and Probability 4 ­ Data Analysis and Probability 4 ­ Data Analysis and Probability 4 ­ Data Analysis and Probability 4 ­ Data Analysis and Probability 5 ­ Algebra 5 ­ Algebra 5 ­ Algebra 5 ­ Algebra7 4 1 08 5 2 +/_9 6 3 ./ * _ +R31 July 2009ELEA SE DPage 1North Carolina Test of Mathematics Grade 6 Form U RELEASED Fall 2009 Answer KeyEOG7 8 5 2 +/_ 9 6 3 . / * _ +CALCULATOR INACTIVE Item Number 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Correct Answer B A C B B A D C D A D B C A Goal 1 ­ Number and Operations 1 ­ Number and Operations 1 ­ Number and Operations 1 ­ Number and Operations 1 ­ Number and Operations 1 ­ Number and Operations 1 ­ Number and Operations 1 ­ Number and Operations 1 ­ Number and Operations 1 ­ Number and Operations 1 ­ Number and Operations 5 ­ Algebra 5 ­ Algebra 5 ­ Algebra4 1 0R31 July 2009ELPage 2EA SE DNorth Carolina Test of Mathematics Grade 6 Form U RELEASED Fall 2009 Raw to Scale Score ConversionRaw Score 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 Scale Score 329 329 330 330 331 332 332 333 334 335 336 337 338 339 340 342 343 344 346 347 348 349 350 351 352 353 354 355 356 356 357 358 359 360 360 361 362 363 363 364 365 366R10 August 2009ELEA SEPage 1DNorth Carolina Test of Mathematics Grade 6 Form U RELEASED Fall 2009 Raw to Scale Score Conversion42 43 44 45 46 47 48 49 50 367 368 369 370 371 372 374 376 380R10 August 2009ELPage 2EA SED`

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