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GRADE7NevadaDEPARTMENTOFEDUCATIONfor theC RITERIONR EFERENCEDT ESTNevad aInstructionalMaterialsGrade 7MATHEMATICSCopyright 2013 by the Nevada Department of Education
Grade 7 Mathematics 1Instructional Materials Jeff sold one case of ice cream bars and onecase of fruit bars.21of a case of ice cream bars He sold62everyhour.3The table below shows the distancesbetween different pairs of cities on amap and the actual distances betweenthose cities.Distance Between Cities1 He soldof a case of fruit bars every61hour.2Distanceon Map(in)ActualDistance(mi)3.511.28.7528How much more time did it take Jeff to sellone case of ice cream bars than one case offruit bars?1hourA12B1hour632.81548What is the constant of proportionality thatrelates the distance between a pair of citieson the map to the actual distance betweenthose cities?C 1 hourD 110.251hours3abcd 32.22.53.27.7Evie buys a coat that is marked down by30% from the original price. After themarkdown, the sale price of Evie’s coat is 56.00 . What was the original price of thecoat before the markdown?ABCD 72.80 80.00 86.00 95.20Go OnCopyright 2013 by the Nevada Department of EducationPage 2
Grade 7 Mathematics 4Instructional Materials Divide:6 - 2 3 7 5 A -1021B -635C635D1021Clay will sell smoothies at a festival for 2each. He pays 20 for frozen fruit and cups.The inequality below represents all of thenumbers of smoothies (n) Clay could sell toearn a profit of more than 50 .2n 20 50Which graph represents all of the numbersof smoothies Clay could sell to earn a profitof more than 50 ?a30 35 40 45 50b 530 35 40 45 50Evaluate:c 2 1 7 0.25 - 3 -15 230 35 40 45 50d30 35 40 45 50a -103b4c9d 72Go OnCopyright 2013 by the Nevada Department of EducationPage 3
Grade 7 Mathematics 7Instructional MaterialsFour line segments and their lengths are shown below.3 cm8 cm12 cm15 cmThree of the line segments will be used to form a triangle. Which lists all of the possible groups ofthe lengths of the line segments that could be used to form a triangle? 8A 3 cm12 cm15 cmB 8 cm12 cm15 cmC 3 cm3 cm8 cm8 cm12 cm15 cmD 3 cm3 cm3 cm8 cm8 cm8 cm12 cm12 cm12 cm15 cm15 cm15 cmA 2-dimensional shape is created when aplane slices through a rectangular prism, asdescribed below. The plane passes through two verticeson the top face of the prism and onevertex on the bottom face of the prism. The plane is not perpendicular to thebottom face of the prism.Which of these could be the 2-dimensionalshape created by the slice?ABCDrectanglerhombustrapezoidtriangleGo OnCopyright 2013 by the Nevada Department of EducationPage 4
Grade 7 Mathematics 9Instructional Materials Brenda will paint the outside of awooden box. The box is in the shape ofa rectangular prism, as shown below.105 in2 in10 inProblem SolvingShe will not paint the bottom face of thebox on which the box is sitting. Whatpercent of the total surface area of the boxwill Brenda paint?ABCDThere are 9 boys and 7 girls inMr. Langley’s math class. Mr. Langleyrandomly selects a student to solve aproblem on the board. A student can beselected more than once to solve aproblem. The table below shows thenumber of times boys and girls havebeen selected to solve problems on theboard so far.GroupNumber ofTimes SelectedBoys87.5%85.7%80%75%GirlsMr. Langley randomly selects a student tosolve the next problem. Which statementabout the theoretical and experimentalprobabilities of a girl being selected tosolve the next problem is true?A The theoretical and experimentalprobabilities of a girl being selected tosolve the next problem are equal.B The theoretical and experimentalprobabilities of a girl being selected tosolve the next problem have a sum of 1 .C The theoretical probability of a girlbeing selected to solve the next problemis greater than the experimentalprobability of a girl being selected tosolve the next problem.D The theoretical probability of a girlbeing selected to solve the next problemis less than the experimental probabilityof a girl being selected to solve the nextproblem.Go OnCopyright 2013 by the Nevada Department of EducationPage 5
Grade 7 Mathematics Instructional MaterialsWrite your answer to Question 11 on a separate sheet of paper. Be sure to answerParts A and B. 11Theo opens a savings account at each of two different banks. At bank A, he deposits 400 in an account that earns 5% simple interest. At bank B, he deposits 300 in an account that also earns simple interest.Theo does not deposit any additional money or withdraw any money from the two savings accounts.a After 1 year, Theo’s bank B account has earned 4 more interest than his bank A account. What isthe interest rate Theo’s bank B account earns? Show your work.b Theo keeps his money in these accounts until the total amount in each account is the same. Whatis the total amount in each account when the two amounts are the same? Show your work orexplain your thinking.Go OnCopyright 2013 by the Nevada Department of EducationPage 6
Correct Answers for Multiple-Choice ItemsPercentage of Students Selectinga Given ResponseItem Level DataItemNumberStrandDOKP-valueAB1320.2615%41%26% 18%2*320.3014%28%30% 27%3320.2434%24% 32%10%4*110.3939% 26%16%18%5*110.3520%18%35% 26%6*220.3838% 16%35%11%7420.2411%24% 23%41%8*420.3025%16%28%30% 9320.1919% 25%38%18%10520.3014%25%30%30% P-value is the proportion of students who gotthe item correctCD Correct Answer* This is an item that was developed for theseInstructional Materials, and it mirrors contentassessed from an item field tested in the2011-2012 test administration. The p-valueand percentages reported here are based onthe p-value and percentages of the item fromthe 2011-2012 field test.Detailed objectives for Content Standards and Depth of Knowledge (DOK) descriptionscan be found on the Nevada Department of Education web site.Copyright 2013 by the Nevada Department of EducationPage 9
Nevada 7 2011-12MathematicsVersion 2 #50Date: 1/24/12I-Ref #:WE: Y12 MA2910 Rpt Cat(s): 3.7.4CCCS: 7.RP.3Correct AnswersPart A:8%At bank A Theo earns 20 in interest since:I PrtI 400(0.05)(1)I 20400 0.05 20orAt bank B he earns 4 more, or 24. His interest rate at bank B is 8%since:I Prt24 300r(1)or24 r3000.08 ror equivalent workPart B: 90024 0.08300Determine the total number of years until the amount is the same in eachaccount.400 400 ( 0.05) n 300 300 ( 0.08 ) n400 20n 300 24n100 4n25 nThen determine the amount in each account after 25 years.400 400 ( 0.05 )( 25 ) 400 500 900300 300 ( 0.08 )( 25 ) 300 600 900ORTheo deposited 100 more in account A. Account B earns 4 more interesteach year.100 4 25Determine the amount that will be in each account after 25 years.300 300 ( 0.08 )( 25 ) 300 600 900400 400 ( 0.05 )( 25 ) 400 500 900Copyright 2013 by the Nevada Department of EducationPage 11
Date: 1/24/12 CCCS: 7.RP.3 Correct Answers Part A: 8% At bankATheo earns 20 in interest since: 400(0.05)(1) 20 I Prt I I or 400 0.05 20 At bank Bhe earns 4 more, or 24. His interest rate at bank B is 8% since: 24 300(1) 24 300 0.08 I Prt r r r or 24 0.08 300 or equivalent work Part B: 900
