XIII. Mathematics, Grade 7

XIII. Mathematics, Grade 7

Grade 7 Mathematics TestThe spring 2015 grade 7 Mathematics test was based on standards in the five domains for grade 7in the Massachusetts Curriculum Framework for Mathematics (March 2011). The grade 7 standardscan be found on pages 59–64 in the Framework, and 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 thefive framework domains listed above.The tables at the conclusion of this chapter indicate each released and unreleased common item’sreporting category and the framework standard it assesses. The correct answers for released multiplechoice and short-answer questions are also displayed in the released item table.Test SessionsThe grade 7 Mathematics test included two separate test sessions. Each session includedmultiple-choice, short-answer, and open-response questions. Approximately half of the commontest items are shown on the following pages as they appeared in test booklets.Reference Materials and ToolsEach student taking the grade 7 Mathematics test was provided with a plastic ruler and a grade 7Mathematics Reference Sheet. A copy of the reference sheet follows the final question in this chapter.An image of the ruler is not reproduced in this publication.During Session 2, each student had sole access to a calculator with at least four functions and a square rootkey. Calculator use was not allowed during Session 1.During both Mathematics test sessions, the use of bilingual word-to-word dictionaries was allowedfor current and former English language learner students only. No other reference tools or materialswere allowed.203

Grade 7 MathematicsSession 1You may use your reference sheet and MCAS ruler during this session.You may not use a calculator during this session.DIRECTIONSThis session contains eight multiple-choice questions, two short-answer questions, and one openresponse question. Mark your answers to these questions in the spaces provided in your StudentAnswer Booklet.ID:295748 C Common EQID:306635 B Common EQ1 2 At a carnival, Andrew went on rides andplayed games.What is the value of the expressionbelow?23 Each ride cost 2. Each game cost 2. Andrew went on 3 rides andplayed g games.Andrew wrote the expression below torepresent the total amount of money, indollars, he spent at the carnival.6B. 2(3C. 4D. 4(345B.595C.    9D.    542gWhich of the following is another wayAndrew could represent the total amountof money, in dollars, that he spent at thecarnival?A. 2A.3gg)3gg)20456

Mathematics Session 1ID:288724 A Common EQ 3ID:306603 MCAS13 M07 NS 01.eps [opt A Common EQ4 There are 24 students in Ms. Woodall’sclass. 12of the students are boys. 13of the boys have brown hair.Which of the following number linesmodels the expression below?2.5A.What is the number of boys inMs. Woodall’s class who havebrown hair?A.4B.8( 1)–5 –4 –3 –2 –1 0 1 2 3 4 5B.C. 12–5 –4 –3 –2 –1 0 1 2 3 4 5D. 20C.–5 –4 –3 –2 –1 0 1 2 3 4 5D.–5 –4 –3 –2 –1 0 1 2 3 4 5205

Mathematics Session 1Question 5 is a short-answer question. Write your answer to this question in the box provided in yourStudent Answer Booklet. Do not write your answer in this test booklet. You may do your figuring inthe test booklet.ID:281489 Common EQ5 An art teacher spent 7% of the art supply budget on colored paper. The art supply budgetwas 1000. What was the total amount of money, in dollars, the art teacher spent on coloredpaper?206

Mathematics Session 1Mark your answers to multiple-choice questions 6 through 8 in the spaces provided in your StudentAnswer Booklet. Do not write your answers in this test booklet. You may do your figuring in the testbooklet.ID:295746 C Common6 ID:306645 B Common8 Which of the following numbers has avalue that is between 10% and 19 ?A. 0.151B. 0.112C. 0.108Which of the following can be used tofind t, the greatest number of smalltables that can be filled when the largetable is also filled?D. 0.019ID:298176 D Common7 A building code allows a maximum of140 people in a meeting room. There isone large table in the room, along withsome small tables. When filled, the largetable seats 15 people, and the smalltables each seat 5 people.Serena is conducting a survey to findout which sport the students at herhigh school like the most. Which of thefollowing groups would be best for herto survey to obtain valid data?A. physical education teachersB. students at a football gameC. parents at a town meetingD. students in the cafeteria207A. 5t15140B. 5t15140C. 15t5140D. 15t5140

Mathematics Session 1Question 9 is a short-answer question. Write your answer to this question in the box provided in yourStudent Answer Booklet. Do not write your answer in this test booklet. You may do your figuring inthe test booklet.ID:298064 Common9 The temperature in a city increased from 212 F at dawn to 7 F in the afternoon. What wasthe change in temperature in degrees Fahrenheit?208

Mathematics Session 1Question 10 is an open-response question. BE SURE TO ANSWER AND LABEL ALL PARTS OF THE QUESTION.Show all your work (diagrams, tables, or computations) in your Student Answer Booklet.If you do the work in your head, explain in writing how you did the work.Write your answer to question 10 in the space provided in your Student Answer Booklet.ID:296361 LPW1009 earnings graph.ep Common EQNarita works part time on Saturdays. The graph below shows the relationship between thenumber of hours Narita works on Saturdays and the total amount of money she earns.Narita’s EarningsAmount Earned (in dollars)10 54484236(4, 36)3024181260123456789Hours Workeda. What does the point (4,  36) on the graph represent in this situation?b. What does the point (0,  0) on the graph represent in this situation?c. What is the amount of money, in dollars, that Narita earns for each hour she works?Show or explain how you got your answer.d. Write an equation that could be used to find t, the total amount of money Narita earns forworking h hours.209

Mathematics Session 1Mark your answer to multiple-choice question 11 in the space provided in your Student AnswerBooklet. Do not write your answer in this test booklet. You may do your figuring in the test booklet.ID:272143 D Common11 What is the value of the expressionbelow?740A. 47B. 33C.33D.47210

Grade 7 MathematicsSession 2You may use your reference sheet and MCAS ruler during this session.You may use a calculator during this session.DIRECTIONSThis session contains eight multiple-choice questions, one short-answer question, and one openresponse question. Mark your answers to these questions in the spaces provided in your StudentAnswer Booklet.ID:208381 C Common EQ12 ID:282957 CMC520 hat scarf.eps A Common EQ13 A plumber charged 12 for 15 minutesof work. At this rate, what would theplumber charge for 1 hour of work?A. 18B. 30Sidney has 4 hats and 2 scarves in adrawer. All the hats are the same size,shape, and material. Both scarves arethe same size, shape, and material. Thetable below shows the colors of Sidney’shats and scarves.C. 48Colors of Sidney’sHats and ScarvesD. 60HatsScarves1 blue1 red1 tan1 purple1 green1 whiteSidney will pick one hat and one scarffrom the drawer without looking. Whatis the probability that Sidney will pick ablue hat and a white scarf?211A.18B.16C.14D.12

Mathematics Session 2ID:306612 MCAS13 M07 EE 01 art.eps C CommonID:295741 AL71302 Parallel Transver A Common EQ14 16 Line m is intersected by line t, as shownin the diagram below.tThe dimensions, in feet, of a rectangleare represented by expressions, as shownin the diagram below.(2.5n) ft.1423m(4n 5) ft.Which of the following expressionsrepresents the perimeter, in feet, of therectangle?A. 6.5n 1 5B. 10.5n 1 10Based on the diagram, which of thefollowing equations must be true?C. 13n 1 10D. 20n 1 5A. m/1  1   m/2  5  180 B. m/1  1   m/3  5  180 C. m/2  1   m/3  5  90 D. m/2  1   m/4  5  90 ID:228035 B Common EQ15 A pharmacist measured 10 millilitersof medicine. Which of the following isclosest to the number of teaspoons ofmedicine that the pharmacist measured?(1 teaspoon 5 milliliters)A.0.5 teaspoonB.2 teaspoonsC. 15 teaspoonsD. 50 teaspoons212

Mathematics Session 2ID:302325 JENBAM900 sphere.eps C Common 17ID:295737 AL71503 Science.eps B Common18 The formula for the surface area of asphere that has a radius r is shown inthe box below.Science Project ScoresSA  5  4πr 2A sphere and one of its dimensions areshown in the diagram below.12 5?Analisa and Luke worked on a fifthscience project together. They eachearned the same score on the project.When the fifth score is included in thetable, Analisa’s mean score does notchange.What is the surface area, in squarecentimeters, of the sphere?A.The table below shows the scoresAnalisa and Luke earned on four scienceprojects.Which of the following statementsdescribes how Luke’s mean scorechanges when the fifth score is includedin the table?C. 144πA. It decreases by 2.5.D. 576πB. It decreases by 1.C. It increases by 2.5.D. It increases by 1.213

Mathematics Session 2ID:306631 MCAS13 M07 EE 05 art.eps A Common EQ19 A parallelogram and one of itsmeasurements are shown below.3 ft.The area of the parallelogram, insquare feet, can be represented by theexpression 12n.Which of the following expressionsrepresents the base, in feet, of theparallelogram?A. 4nB. 4C. 36nD. 36214

Mathematics Session 2Question 20 is a short-answer question. Write your answer to this question in the box provided inyour Student Answer Booklet. Do not write your answer in this test booklet. You may do your figuringin the test booklet.ID:301858 Common20 A list of numbers is shown in the box below.3, 4, 5, 8, 9, 10, 14, 19, 20What is the probability that a number selected at random from the list will be aneven number?215

Mathematics Session 2Question 21 is an open-response question. BE SURE TO ANSWER AND LABEL ALL PARTS OF THE QUESTION.Show all your work (diagrams, tables, or computations) in your Student Answer Booklet.If you do the work in your head, explain in writing how you did the work.Write your answer to question 21 in the space provided in your Student Answer Booklet.ID:219552 Common EQ21 A box of chocolate chip cookies is in the shape of a rectangular prism. The rectangular bottomof the box is 10 inches long and 3 inches wide.a. What is the area, in square inches, of the bottom of the cookie box? Show or explain howyou got your answer.b. The height of the cookie box is 8 inches. What is the volume, in cubic inches, of the box?Show or explain how you got your answer.c. A box of oatmeal cookies is also in the shape of a rectangular prism. It has the samelength and width as the box of chocolate chip cookies, but it has a volume of 210 cubicinches. What is the height of the box of oatmeal cookies? Show or explain how you gotyour answer.216

Massachusetts Comprehensive Assessment SystemGrade 7 Mathematics Reference SheetVOLUME FORMULASPERIMETER FORMULASrectangular prism . . . . . . . Vsquare . . . . . . . . . . . P4srectangle . . . . . . . . . P2 b 2hOR2l 2wPtriangle . . . . . . . . . . PablwhORV Bh(B area of a base)cube . . . . . . . . . . . . . . . . . Vs3(s length of an edge)ccylinder. . . . . . . . . . . . . . . VAREA FORMULASsquare . . . . . . . . . . . ACIRCLE FORMULASs2Crectangle . . . . . . . . . AbhORA lwparallelogram . . . . . Abhtriangle . . . . . . . . . . A1bh2trapezoid . . . . . . . . . A1h ( b12circle . . . . . . . . . . . . Ab2)r2TOTAL SURFACE AREA FORMULASrectangular prism . . SA2 ( lw )cylinder . . . . . . . . . . SA2 r22 ( hw )2 ( lh )2 rh2172 rORCdAr2r2 h