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New York State Testing ProgramGrade 5 Common CoreMathematics TestReleased QuestionsJune 2017New York State administered the Mathematics Common Core Tests inMay 2017 and is now making approximately 75% of thequestions from these tests available for review and use.

THESTATEEDUCATION DEPARTMENT / THE UNIVERSITY OF THE STATEOF NEW YORK/ ALBANY, NY 12234New York State Testing ProgramGrades 3-8 MathematicsReleased Questions from 2017 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 2017 NYSGrades 3-8 Common Core English Language Arts and Mathematics test materials for review, discussion,and use.For 2017, included in these released materials are at least 75 percent of the test questions that appearedon the 2017 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.

Grade 5 Mathematics Reference SheetCONVERSIONS1 mile 5,280 feet1 mile 1,760 yards1 pound 16 ounces1 ton 2,000 pounds1 cup 8 fluid ounces1 pint 2 cups1 quart 2 pints1 gallon 4 quarts1 liter 1,000 cubic centimetersFORMULASRight Rectangular PrismV Bh or V lwh

1What part of the expression below should be calculated first?8 {22 [15 (14 2)]}A 8 22B 22 15C 14 2D 15 14212dozen cookies. She sold 3 dozen of the cookies she made.26How many dozens of cookies does Tara have remaining?Tara baked 6A 316314C 338D 356BPage 2GO ONBook 1

6What number is equivalent to the expanded form shown below? 1 1 (2 100) (3 1) 4 3 10 1,000 A 203.043B 203.403C 230.430D 230.4037Which phrase is represented by the expression 5 (36 9) ?A the product of 36 and 5, increased by 9B the product of 36 and 9, multiplied by 5C the sum of 36 and 9, multiplied by 5D the sum of 36 and 5, increased by 9Page 4GO ONBook 1

Grade 52017 Common CoreMathematics TestBook 1May 2 – 4, 2017

Grade 5 Mathematics Reference SheetCONVERSIONS1 mile 5,280 feet1 mile 1,760 yards1 pound 16 ounces1 ton 2,000 pounds1 cup 8 fluid ounces1 pint 2 cups1 quart 2 pints1 gallon 4 quarts1 liter 1,000 cubic centimetersFORMULASRight Rectangular PrismV Bh or V lwh

Grade 52017 Common CoreMathematics TestBook 2May 2 – 4, 2017

Grade 5 Mathematics Reference SheetCONVERSIONS1 mile 5,280 feet1 mile 1,760 yards1 pound 16 ounces1 ton 2,000 pounds1 cup 8 fluid ounces1 pint 2 cups1 quart 2 pints1 gallon 4 quarts1 liter 1,000 cubic centimetersFORMULASRight Rectangular PrismV Bh or V lwh

Book 3TIPS FOR TAKING THE TESTHere are some suggestions to help you do your best: Read each question carefully and think about the answer before writing your response. You have been provided with mathematics tools (a ruler and a protractor) and areference sheet to use during the test. It is up to you to decide when each tool and thereference 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.Book 3Page 1

472pounds of the food54in the first month and 10 pounds of the food in the second month. How much5dog food, in pounds, was remaining in the bag at the end of the two months?Rodney bought a 25-pound bag of dog food. His dog ate 10Show your work.AnswerpoundsGO ONBook 3Page 3

48Sixteen students in a drama club want to attend a play. The ticket price is 35 for eachstudent, and the transportation and meals for everyone will cost 960.To pay for the trip, the students design sweatshirts to sell for a profit of 19 persweatshirt. If each student sells the same number of sweatshirts, how many sweatshirtsmust each student sell so that there will be enough money to pay for the entire cost ofthe trip?Show your work.AnswerPage 4sweatshirtsGO ONBook 3

49Jessie set up a lemonade stand for three days. On Saturday, she sold 102gallons of lemonade.31gallons more than she sold on Saturday.32On Monday, she sold 2 gallons less than she sold on Sunday.3On Sunday, she sold 3How many gallons of lemonade did Jessie sell on Monday?Show your work.AnswergallonsGO ONBook 3Page 5

50Three students performed a science experiment using salt and a beaker. The beakercontained 530.2 grams of salt before the experiment started. During the experiment,each of the 3 students removed 47.36 grams of salt from the beaker.How much salt, in grams, was left in the beaker at the end of the experiment?Show your work.AnswerPage 6gramsGO ONBook 3

51The dimensions of Mr. Tai’s living room are 10 feet 18 feet 8 feet, and thedimensions of his family room are 14 feet 20 feet 8 feet. What is the totalvolume, in cubic feet, of the two rooms?Show your work.Answercubic feetGO ONBook 3Page 7

53A juice company produced 8,064 cartons of juice in 21 days. Each day, they producedthe same number of cartons and delivered those cartons to 16 area coffee shops. Thecartons were delivered in cases of six cartons per case, and each coffee shop received anequal number of cases in each delivery. How many cases were delivered to each coffeeshop each day?Show your work.AnswercasesGO ONBook 3Page 9

541miles each week and swam4312 miles each week. For 3 weeks in July, he biked 4 miles each week421and swam 3 miles each week.2For 4 weeks in June, Cameron biked 3How much greater was the total distance Cameron biked and swam in Julycompared to the total distance he biked and swam in June?Show your work.AnswerPage 10mile(s)GO ONBook 3

Grade 52017 Common CoreMathematics TestBook 3May 2 – 4, 2017

Grade 5QuestionBook iceKey PointsTHE STATE EDUCATION DEPARTMENTTHE UNIVERSITY OF THE STATE OF NEW YORK / ALBANY, NY 122342017 Mathematics Tests Map to the StandardsReleased Questions on EngageNYMultiple Choice Questions: Constructed Response Questions:Percentage of StudentsAverageP-ValueWho Answered CorrectlyPoints (Average Points EarnedStandardClusterSecondary Standard(s)(P-Value)Earned Total Possible Points)Operations andAlgebraic ThinkingNumber andOperations— 1C1A1C1CCSS.Math.Content.5.MD.C.5b Measurement and .C.3b Measurement and Data0.88D1CCSS.Math.Content.5.NBT.A.2Number andOperations in Base SS.Math.Content.5.NBT.A.3bNumber andOperations in Base Ten0.68Measurement and DataNumber andOperations in Base TenNumber andCCSS.Math.Content.5.NBT.A.3aOperations in Base TenOperations andCCSS.Math.Content.5.OA.A.2Algebraic ThinkingNumber andCCSS.Math.Content.5.NBT.A.1Operations in Base TenCCSS.Math.Content.4.NF.C.6Number andOperations in Base TenNumber andCCSS.Math.Content.5.NF.B.7aOperations— FractionsMeasurement and DataNumber andOperations in Base TenNumber andOperations— FractionsCCSS.Math.Content.5.MD.C.3a Measurement and DataNumber andOperations— FractionsNumber andCCSS.Math.Content.5.NBT.A.4Operations in Base .400.740.400.650.490.750.700.660.630.51Book eMultipleChoice