EngageNY: 2018 Grade 7 Mathematics Test Released Questions

New York State Testing ProgramGrade 7Mathematics TestReleased QuestionsJune 2018New York State administered the Mathematics Tests in May 2018and is now making approximately 75% of thequestions from these tests available for review and use.

THE STATE EDUCATION DEPARTMENT / THE UNIVERSITY OF THE STATE OF NEW YORK / ALBANY, NY 12234New York State Testing ProgramGrades 3-8 MathematicsReleased Questions from 2018 ExamsBackgroundIn 2013, New York State began administering tests designed to assess student performance in accordancewith the instructional shifts and rigor demanded by the new New York State P-12 Learning Standards inMathematics. To help in this transition to new assessments, the New York State Education Department(SED) has been releasing an increasing number of test questions from the tests that were administered tostudents across the State in the spring. This year, SED is again releasing large portions of the 2018 NYSGrades 3-8 English Language Arts and Mathematics test materials for review, discussion, and use.For 2018, included in these released materials are at least 75 percent of the test questions that appearedon the 2018 tests (including all constructed-response questions) that counted toward students’ scores.Additionally, SED is also providing a map that details what each released question measures and thecorrect response to each question. These released materials will help students, families, educators, andthe public better understand the tests and the New York State Education Department’s expectations forstudents.Understanding Math QuestionsMultiple-Choice QuestionsMultiple-choice questions are designed to assess the New York State P-12 Learning Standards forMathematics. Mathematics multiple-choice questions will be used mainly to assess standard algorithmsand conceptual standards. Multiple-choice questions incorporate both the grade-level standards and the“Standards for Mathematical Practices.” Many questions are framed within the context of real-worldapplications or require students to complete multiple steps. Likewise, many of these questions are linkedto more than one standard, drawing on the simultaneous application of multiple skills and concepts.Short-Response QuestionsShort-response questions require students to complete tasks and show their work. Like multiple-choicequestions, short-response questions will often require multiple steps, the application of multiplemathematics skills, and real-world applications. Many of the short-response questions will coverconceptual and application of the standards.Extended-Response QuestionsExtended-response questions ask students to show their work in completing two or more tasks or a moreextensive problem. Extended-response questions allow students to show their understanding ofmathematical procedures, conceptual understanding, and application. Extended-response questions mayalso assess student reasoning and the ability to critique the arguments of others.

The scoring rubric for short and extended constructed-response questions can be found in the thematics.New York State P-12 Learning Standards AlignmentThe alignment(s) to the New York State P-12 Learning Standards for Mathematics is/are intended toidentify the primary analytic skills necessary to successfully answer each question. However, somequestions measure proficiencies described in multiple standards, including a balanced combination ofprocedure and conceptual understanding. For example, two-point and three-point constructed-responsequestions require students to show an understanding of mathematical procedures, concepts, andapplications.These Released Questions Do Not Comprise a “Mini Test”To ensure future valid and reliable tests, some content must remain secure for possible use on futureexams. As such, this document is not intended to be representative of the entire test, to show howoperational tests look, or to provide information about how teachers should administer the test; rather,its purpose is to provide an overview of how the test reflects the demands of the New York State P-12Learning Standards.The released questions do not represent the full spectrum of the standards assessed on the State tests,nor do they represent the full spectrum of how the standards should be taught and assessed in theclassroom. It should not be assumed that a particular standard will be measured by an identical questionin future assessments. Specific criteria for writing test questions, as well as additional assessmentinformation, are available at http://www.engageny.org/common-core-assessments.

Released Questions

Developed and published under contract with the New York State Education Department by Questar Assessment Inc., 5550 Upper 147thStreet West, Minneapolis, MN 55124. Copyright 2018 by the New York State Education Department.Session 1

Grade 7 Mathematics Reference SheetCONVERSIONS1 inch 2.54 centimeters1 kilometer 0.62 mile1 cup 8 fluid ounces1 meter 39.37 inches1 pound 16 ounces1 pint 2 cups1 mile 5,280 feet1 pound 0.454 kilogram1 quart 2 pints1 mile 1,760 yards1 kilogram 2.2 pounds1 gallon 4 quarts1 mile 1.609 kilometers1 ton 2,000 pounds1 gallon 3.785 liters1 liter 0.264 gallon1 liter 1,000 cubic centimetersFORMULASTriangleA 1 bhParallelogramA bhCircleA πr 2CircleC πd or C 2πrGeneral PrismsV Bh2

Session 1TIPS FOR TAKING THE TESTHere are some suggestions to help you do your best: Read each question carefully and think about the answer before making your choice. ou have been provided with mathematics tools (a ruler, a protractor, and a calculator)Yand a reference sheet to use during the test. It is up to you to decide when each tool andthe reference sheet will be helpful. You should use mathematics tools and the referencesheet whenever you think they will help you to answer the question.Session 1Page 1

Grade 72018Mathematics TestSession 1May 1 – 3, 2018

Released Questions

Developed and published under contract with the New York State Education Department by Questar Assessment Inc., 5550 Upper 147thStreet West, Minneapolis, MN 55124. Copyright 2018 by the New York State Education Department.Session 2

Grade 7 Mathematics Reference SheetCONVERSIONS1 inch 2.54 centimeters1 kilometer 0.62 mile1 cup 8 fluid ounces1 meter 39.37 inches1 pound 16 ounces1 pint 2 cups1 mile 5,280 feet1 pound 0.454 kilogram1 quart 2 pints1 mile 1,760 yards1 kilogram 2.2 pounds1 gallon 4 quarts1 mile 1.609 kilometers1 ton 2,000 pounds1 gallon 3.785 liters1 liter 0.264 gallon1 liter 1,000 cubic centimetersFORMULASTriangleA 1 bhParallelogramA bhCircleA πr 2CircleC πd or C 2πrGeneral PrismsV Bh2

Session 2TIPS FOR TAKING THE TESTHere are some suggestions to help you do your best: Read each question carefully and think about the answer before making your choice orwriting your response. ou have been provided with mathematics tools (a ruler, a protractor, and a calculator)Yand a reference sheet to use during the test. It is up to you to decide when each tool andthe reference sheet will be helpful. You should use mathematics tools and the referencesheet whenever you think they will help you to answer the question. Be sure to show your work when asked.Session 2Page 1

Grade 72018Mathematics TestSession 2May 1 – 3, 2018

THE STATE EDUCATION DEPARTMENTTHE UNIVERSITY OF THE STATE OF NEW YORK / ALBANY, NY 122342018 Mathematics Tests Map to the StandardsGrade 7 Released Questions on EngageNYKey PointsStandardClusterQuestionSession 1TypeSubscore1Multiple ChoiceB1CCSS.Math.Content.7.NS.A.2dThe Number System2Multiple ChoiceC1CCSS.Math.Content.7.G.B.4Geometry3Multiple ChoiceA1CCSS.Math.Content.7.EE.B.4aExpressions and Equations6Multiple ChoiceB1CCSS.Math.Content.7.SP.C.7bStatistics and Probability7Multiple ChoiceB1CCSS.Math.Content.7.NS.A.3The Number SystemThe Number System10Multiple ChoiceC1CCSS.Math.Content.7.EE.A.1Expressions and EquationsExpressions and Equations11Multiple ChoiceA1CCSS.Math.Content.7.RP.A.2aRatios and Proportional RelationshipsRatios and Proportional Relationships16Multiple ChoiceB1CCSS.Math.Content.7.RP.A.3Ratios and Proportional RelationshipsRatios and Proportional Relationships17Multiple ChoiceD1CCSS.Math.Content.7.NS.A.1aThe Number SystemThe Number System22Multiple ChoiceD1CCSS.Math.Content.7.NS.A.3The Number SystemThe Number System23Multiple ChoiceD1CCSS.Math.Content.7.EE.B.3Expressions and EquationsExpressions and Equations26Multiple ChoiceD1CCSS.Math.Content.7.RP.A.3Ratios and Proportional RelationshipsRatios and Proportional Relationships27Multiple ChoiceA1CCSS.Math.Content.7.NS.A.1dThe Number SystemThe Number System28Multiple ChoiceC1CCSS.Math.Content.7.SP.B.3Statistics and Probability29Multiple ChoiceD1CCSS.Math.Content.7.NS.A.1cThe Number System30Multiple ChoiceB1CCSS.Math.Content.7.SP.C.6Statistics and Probability31Multiple ChoiceA1CCSS.Math.Content.6.SP.B.4Statistics and Probability32Multiple ChoiceB1CCSS.Math.Content.7.RP.A.2dRatios and Proportional Relationships33Multiple ChoiceB1CCSS.Math.Content.7.SP.C.7bStatistics and Probability34Multiple ChoiceC1CCSS.Math.Content.7.SP.C.5Statistics and Probability35Multiple ChoiceB1CCSS.Math.Content.7.EE.A.1Expressions and EquationsExpressions and Equations36Multiple ChoiceC1CCSS.Math.Content.7.RP.A.1Ratios and Proportional RelationshipsRatios and Proportional Relationships37Multiple ChoiceD1CCSS.Math.Content.7.EE.A.1Expressions and EquationsExpressions and Equations38Multiple ChoiceC1CCSS.Math.Content.7.EE.B.4bExpressions and EquationsExpressions and Equations39Multiple ChoiceD1CCSS.Math.Content.7.EE.A.2Expressions and EquationsExpressions and Equations40Multiple cted ucted Response2CCSS.Math.Content.7.NS.A.3The Number SystemThe Number System43Constructed Response2CCSS.Math.Content.7.EE.B.4bExpressions and EquationsExpressions and Equations44Constructed Response2CCSS.Math.Content.7.EE.B.3Expressions and EquationsExpressions and Equations45Constructed Response2CCSS.Math.Content.7.NS.A.3The Number SystemThe Number System46Constructed Response2CCSS.Math.Content.7.EE.B.4aExpressions and EquationsExpressions and Equations47Constructed Response2CCSS.Math.Content.7.RP.A.3Ratios and Proportional RelationshipsRatios and Proportional Relationships48Constructed Response3CCSS.Math.Content.7.RP.A.2bRatios and Proportional RelationshipsRatios and Proportional RelationshipsThe Number SystemExpressions and EquationsThe Number SystemRatios and Proportional RelationshipsSession 2*This item map is intended to identify the primary analytic skills necessary to successfully answer each question. However, some questions measure proficiencies described in multiplestandards, including a balanced combination of procedural and conceptual understanding.

The released questions do not represent the full spectrum of the standards assessed on the State tests, nor do they represent the full spectrum of how the should be taught and assessed in the standards . Grade 7 Mathematics Reference Sheet Parallelogram 1 inch 2.54 centimeters 1 meter 39.37 inches 1 mile 5,280 feet 1 mile 1,760 yards