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The Pennsylvania Systemof School AssessmentMathematicsItem and Scoring Sampler2021*2021*Grade 4* This is a revised version of the 2017 Item and Scoring Sampler.Pennsylvania Department of Education Bureau of Curriculum, Assessment and Instruction—September 2021
TABLE OF CONTENTSINFORMATION ABOUT MATHEMATICS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1General Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1Pennsylvania Core Standards (PCS) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1What Is Included . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1Purpose and Uses . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2Item Format and Scoring Guidelines . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2Item Alignment . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2Testing Time and Mode of Testing Delivery for the PSSA . . . . . . . . . . . . . . . . . . . . . . . . . . . 2Mathematics Reporting Categories . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3General Description of Scoring Guidelines for Mathematics Open-Ended Questions . . . . . 4Item and Scoring Sampler Format . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5Grade 4 Protractor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6Grade 4 Formula Sheet . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7Mathematics Test Directions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8Multiple-Choice Items . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10Open-Ended Question . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30Item-Specific Scoring Guideline . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32Mathematics—Summary Data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44PSSA Grade 4 Mathematics Item and Scoring Sampler—September 2021ii
INFORMATION ABOUT MATHEMATICSINTRODUCTIONGeneral IntroductionThe Pennsylvania Department of Education (PDE) provides districts and schools with tools to assistin delivering focused instructional programs aligned with the Pennsylvania Core Standards (PCS) .These tools include Academic Standards, Assessment Anchor documents, assessment handbooks,and content-based item and scoring samplers . This Item and Scoring Sampler is a useful tool forPennsylvania educators in preparing local instructional programs by providing samples of test itemtypes and scored student responses . The item sampler is not designed to be used as a pretest, acurriculum, or other benchmark for operational testing .This Item and Scoring Sampler is available in Braille format . For more information regarding Braille,call (717) 901-2238 .Pennsylvania Core Standards (PCS)This sampler contains examples of test items (questions) designed to assess the PennsylvaniaAssessment Anchors and Eligible Content aligned to the PCS . The Mathematics, Reading, andWriting PSSA transitioned to PCS-based operational Mathematics and English Language Artsassessments starting with the spring 2015 PSSA administration .The PCS-aligned Assessment Anchors and Eligible Content documents are posted on this portal:¾www.education.pa.gov [Hover over “Data and Reporting,” select “Assessment andAccountability,” and select “PSSA-PA System of School Assessment .” Then select“Assessment Anchors/Eligible Content” on the right side of the screen .]What Is IncludedThis sampler contains test questions (items) that have been written to be aligned with theAssessment Anchors, which are aligned to the PCS . The test questions provide an idea of the typesof items that will appear on an operational, PCS-based PSSA . Each sample test question has beenthrough a rigorous review process to ensure alignment with the Assessment Anchors .Typically an item and scoring sampler is released every year to provide students and educatorswith a resource to assist in delivering focused instructional programs aligned to the PCS . However,due to the cancellation of standardized testing in 2019–2020, the 2021 Item and Scoring Sampleris a revised version of the previously released 2017 Item and Scoring Sampler . This revised versionensures that students and educators have an enhanced item and scoring sampler to use duringinstruction and/or preparation of students to take the PSSA Exam .PSSA Grade 4 Mathematics Item and Scoring Sampler—September 20211
INFORMATION ABOUT MATHEMATICSPurpose and UsesThe items in this sampler may be used1 as examples for creating assessment items at the classroomlevel, and they may also be copied and used as part of a local instructional program . Classroomteachers may find it beneficial to have students respond to the open-ended (OE) item in this sampler .Educators can then use the sampler as a guide to score the responses either independently ortogether with colleagues within a school or district .Item Format and Scoring GuidelinesThe multiple-choice (MC) items have four answer choices . Each correct response to an MC item isworth one point .Each OE item is designed to take approximately ten to fifteen minutes to complete . During theadministration of the PSSA, students are given additional time as necessary to complete the testitems . Each OE item in mathematics is scored using an item-specific scoring guideline based on a0–4-point scale . In this sampler, every item-specific scoring guideline is combined with examples ofstudent responses that represent each score point to form a practical, item-specific scoring guide .This sampler also includes the General Description of Scoring Guidelines for Mathematics OpenEnded Questions that students will have access to during a PSSA mathematics administration .The general description of scoring guidelines may be distributed to students for use during localassessments and may also be used by educators when scoring local assessments .1Item AlignmentAll PSSA items are aligned to statements and specifications included in the Assessment Anchorsand Eligible Content Aligned to the Pennsylvania Core Standards. The mathematics content, processskills, directives, and action statements included in the PSSA mathematics questions align with theAssessment Anchor Content Standards . The Eligible Content statements represent the limits of thecontent of the mathematics questions .Testing Time and Mode of Testing Delivery for the PSSAThe PSSA is delivered in traditional paper-and-pencil format as well as in an online format . Theestimated time to respond to a test question is the same for both methods of test delivery . During anofficial testing administration, students are given additional time as necessary to complete the testquestions . The following table shows the estimated response time for each item type .1Mathematics Item TypeMCOEEstimated Response Time(minutes)210 to 15The permission to copy and/or use these materials does not extend to commercial purposes .PSSA Grade 4 Mathematics Item and Scoring Sampler—September 20212
INFORMATION ABOUT MATHEMATICSMathematics Reporting CategoriesThe Assessment Anchors are organized into four classifications as listed below . A Numbers and OperationsB Algebraic Concepts C GeometryD Data Analysis and ProbabilityThese four classifications are used throughout the grade levels . In addition to these classifications,there are five Reporting Categories for each grade level . The first letter of each Reporting Categoryrepresents the classification; the second letter represents the Domain as stated in the Common CoreState Standards for Mathematics . Listed below are the Reporting Categories for Grade 4 . A-T Numbers and Operations in Base TenA-F Numbers and Operations—FractionsB-O Operations and Algebraic ThinkingC-G GeometryD-M Measurement and DataExamples of MC and OE items assessing these categories are included in this sampler .PSSA Grade 4 Mathematics Item and Scoring Sampler—September 20213
INFORMATION ABOUT MATHEMATICSGeneral Description of Scoring Guidelines for Mathematics Open-EndedQuestions4—The response demonstrates a thorough understanding of the mathematical concepts andprocedures required by the task .The response provides correct answer(s) with clear and complete mathematical proceduresshown and a correct explanation, as required by the task . Response may contain a minor“blemish” or omission in work or explanation that does not detract from demonstrating athorough understanding .3—The response demonstrates a general understanding of the mathematical concepts andprocedures required by the task .The response and explanation (as required by the task) are mostly complete and correct . Theresponse may have minor errors or omissions that do not detract from demonstrating a generalunderstanding .2—The response demonstrates a partial understanding of the mathematical concepts andprocedures required by the task .The response is somewhat correct with partial understanding of the required mathematicalconcepts and/or procedures demonstrated and/or explained . The response may contain somework that is incomplete or unclear .1—The response demonstrates a minimal understanding of the mathematical concepts andprocedures required by the task .0—The response has no correct answer and insufficient evidence to demonstrate anyunderstanding of the mathematical concepts and procedures required by the task for thatgrade level .Response may show only information copied from the question .Special Categories within zero reported separately:BLK (blank) . . . . . . . . . . . . .Is blank, is entirely erased, or gives a written refusal to respondOT . . . . . . . . . . . . . . . . . . . . . . . . . . .Is off-taskLOE . . . . . . . . . . . . . . . . . . . . . . . . .Is in a language other than EnglishIL . . . . . . . . . . . . . . . . . . . . . . . . . . . . .Is illegiblePSSA Grade 4 Mathematics Item and Scoring Sampler—September 20214
INFORMATION ABOUT MATHEMATICSItem and Scoring Sampler FormatThis sampler includes the test directions and scoring guidelines that appear in the PSSAMathematics assessments . Each MC item is followed by a table that includes the alignment, theanswer key, the depth of knowledge (DOK) level, the percentage2 of students who chose eachanswer option, and a brief answer-option analysis or rationale . The OE item is followed by a tablethat includes the item alignment, DOK level, and mean student score . Additionally, each of theincluded item-specific scoring guidelines is combined with sample student responses representingeach score point to form a practical, item-specific scoring guide . The General Description of ScoringGuidelines for Mathematics Open-Ended Questions used to develop the item-specific scoringguidelines should be used if any additional item-specific scoring guidelines are created for use withinlocal instructional programs .Example Multiple-Choice Item Information TableItem InformationAlignmentAnswer KeyDepth of Knowledgep-value Ap-value Bp-value Cp-value DOption AnnotationsAssigned AAECCorrect AnswerAssigned DOKPercentage of students who selected this optionPercentage of students who selected this optionPercentage of students who selected this optionPercentage of students who selected this optionBrief answer-option analysis or rationaleExample Open-Ended Item Information TableAlignment2AssignedAAECDepth ofKnowledgeAssignedDOKMean ScoreAll p-value percentages listed in the item information tables have been rounded .PSSA Grade 4 Mathematics Item and Scoring Sampler—September 20215
INFORMATION ABOUT MATHEMATICSGrade 4 ProtractorThe protractor shown below is not intended to be used to measure . It has been included as arepresentation of the protractors that will be provided for students when they take the test . Due todifferences in printers, the protractor in this sampler may not accurately reproduce to scale .16020170 18010 01401501020180 17016030015PSSA Grade 4 Mathematics Item and Scoring Sampler—September 2021400100 11012800701360050030012500138090700011101440606
INFORMATION ABOUT MATHEMATICSGrade 4 Formula SheetFormulas and conversions that you may need on this test are found below.You may refer back to this page at any time during the mathematics test.Standard Conversions1 yard (yd) 3 feet (ft)1 foot 12 inches (in.)1 pound (lb) 16 ounces (oz.)1 gallon (gal) 4 quarts (qt)1 quart 2 pints (pt)1 pint 2 cups (c)Metric Conversions1 kilometer (km) 1,000 meters (m)1 meter 100 centimeters (cm)2021Grade 4RectanglewlArea length widthA l wPerimeter length length width widthP l l w w1 kilogram (kg) 1,000 grams (g)1 liter (L) 1,000 milliliters (mL)1111111Time Conversionsyear (yr) 12 months (mo)year 52 weeks (wk)year 365 daysweek 7 daysday 24 hours (hr)hour 60 minutes (min)minute 60 seconds (sec)PSSA Grade 4 Mathematics Item and Scoring Sampler—September 20217
INFORMATION ABOUT MATHEMATICSMathematics Test DirectionsOn the following pages are the mathematics questions . You may not use a calculator for question 1 . You may use a calculator for all otherquestions on this test . You may need a protractor for questions on this test .Directions for Multiple-Choice QuestionsSome questions will ask you to select an answer from among four choices .For the multiple-choice questions: First solve the problem on scratch paper . Choose the correct answer and record your choice in the answer booklet . If none of the choices matches your answer, go back and check your work forpossible errors . Only one of the answers provided is the correct response .Directions for Open-Ended QuestionsSome questions will require you to write your response .For the open-ended questions: These questions have more than one part . Be sure to read the directions carefully . You cannot receive the highest score for an open-ended question without completingall tasks in the question . For example, if the question asks you to show your work orexplain your reasoning, be sure to show your work or explain your reasoning in thespace provided . If the question does not ask you to show your work or explain your reasoning, youmay use the space provided, but only those parts of your response that the questionspecifically asks for will be scored . Write your response in the appropriate location within the response box in theanswer booklet . Some answers may require graphing, plotting, labeling, drawing, orshading . If you use scratch paper, be sure to transfer your final response and anyneeded work or reasoning to the answer booklet .PSSA Grade 4 Mathematics Item and Scoring Sampler—September 20218
INFORMATION ABOUT MATHEMATICSTHIS PAGE ISINTENTIONALLY BLANK .PSSA Grade 4 Mathematics Item and Scoring Sampler—September 20219
PSSA MATHEMATICS GRADE 4Question 1 in this sampler is to be solved without the use of a calculator .MULTIPLE-CHOICE ITEMS1 .2 34Add: 655A .445B .195C .1105D .1215655451PSSA Grade 4 Mathematics Item and Scoring Sampler—September 202110
PSSA MATHEMATICS GRADE 4Item InformationAlignmentAnswer KeyDepth of Knowledgep-value Ap-value Bp-value Cp-value DOption AnnotationsA-F .2 .1 .3C14%37%57% (correct answer)2%A .multiplies the whole number by the numerator of each fraction and1212 then adds55B .does not add the additional 1 to the whole number when6 to1changing55C .Correct: converts each mixed number to an improper fraction bymultiplying the whole part by the denominator (5) and then adding3 2 19 5 1, and thenthe product to the numerator to get55551convertsback to a mixed number by dividing 51 by 5 for the5whole part and leaving the remainder as the new numerator ORadds the whole parts and the fractional parts separately to get 9 andD .6611}, converts the } to 1}, and then adds 9 to 1}555596 to34 and then incorrectly converts62 solves the problem as5551215PSSA Grade 4 Mathematics Item and Scoring Sampler—September 202111
PSSA MATHEMATICS GRADE 4A calculator is permitted for use in solving questions 2–17 in this sampler .2 .There are 49,528 people living in a city . What is the value of the 4 in the number of people livingin the city?A .two times the two in the tens placeB .twenty times the two in the tens placeC . two hundred times the two in the tens placeD .two thousand times the two in the tens place655469Item InformationAlignmentAnswer KeyDepth of Knowledgep-value Ap-value Bp-value Cp-value DOption AnnotationsA-T .1 .1 .1A-T .1 .1 .2D215%17%20%48% (correct answer)A . does not consider place valueB . uses concept of “10 times the value” but only for 1 place valueC . uses concept of “100 times the value” since there are two digitsbetween the 2 and the 4D . Correct: identifies the value of the 4 as 40,000, identifies the value ofthe 2 as 20, and recognizes that 40,000 is 2,000 times 20PSSA Grade 4 Mathematics Item and Scoring Sampler—September 202112
PSSA MATHEMATICS GRADE 43 .The average distance from Earth to the moon is 238,855 miles . What is this distance rounded tothe nearest thousand?A .200,000B .238,000C . 238,900D .239,000652724Item InformationAlignmentAnswer KeyDepth of Knowledgep-value Ap-value Bp-value Cp-value DOption AnnotationsA-T .1 .1 .4D111%10%12%67% (correct answer)A . rounds to the highest place valueB . rounds down (truncates)C . rounds to the nearest hundredD . Correct: looks at the digit to the right of the thousands place,recognizes it as 5 or greater, and rounds the thousands place upfrom 8 to 9PSSA Grade 4 Mathematics Item and Scoring Sampler—September 202113
PSSA MATHEMATICS GRADE 44 .A theater sold 1,048 worth of tickets on Saturday and 424 worth of tickets on Sunday . Eachticket cost 8 . How many tickets were sold altogether on Saturday and Sunday?A .53B .78C . 131D .184656381Item InformationAlignmentAnswer KeyDepth of Knowledgep-value Ap-value Bp-value Cp-value DOption AnnotationsA-T .2 .1 .3A-T .2 .1 .1D27%8%14%71% (correct answer)A . divides 424 by 8 (determines the number of tickets sold onSunday)B . subtracts 424 from 1,048 and then divides the difference by 8C . divides 1,048 by 8 (determines the number of tickets sold onSaturday)D . Correct: adds 1,048 to 424 and then divides the sum by 8OR divides 1,048 by 8, divides 424 by 8, and then adds thequotientsPSSA Grade 4 Mathematics Item and Scoring Sampler—September 202114
PSSA MATHEMATICS GRADE 45 .Cheryl keeps her marbles in two containers . She has between 177 and 203 marbles inone container . She has between 157 and 163 marbles in the other container . Which estimatecould be the total number of marbles Cheryl has in both containers?A .300B .320C . 360D .400701061Item InformationAlignmentAnswer KeyDepth of Knowledgep-value Ap-value Bp-value Cp-value DOption AnnotationsA-T .2 .1 .4C210%20%44% (correct answer)26%A . rounds the highest numbers down to the nearest hundred and thenadds 100 to 200B . rounds the lowest numbers down to the nearest ten and then adds170 to 150C . Correct: determines the lowest possible total by adding 177 and157, determines the greatest possible total by adding 203 and163, and selects a number between these two sums OR selects an“easy” number between 177 and 203 (e .g ., 200), selects an “easy”number between 157 and 163 (e .g ., 160), adds these numberstogether, and selects a value close to this sumD . rounds both numbers to the nearest hundred and then adds200 to 200PSSA Grade 4 Mathematics Item and Scoring Sampler—September 202115
6 .PSSA MATHEMATICS GRADE 45 of the words are nouns and6 of the words are verbs . Which pair ofOn a vocabulary list,1012statements correctly compares the fraction of the words on the vocabulary list that are nouns tothe fraction that are verbs?A .5 6 .Since 5 6, then10 12So, there are fewer nouns than verbs on the vocabulary list .B .5 6 .1 1 , thenSince10 1210 12So, there are more nouns than verbs on the vocabulary list .5 5 6 .7 and 7 6, thenC . Since10 1210 12So, there are more nouns than verbs on the vocabulary list .D .6 5 6 .5 1 and1, thenSince10 212 210 12So, there are equal numbers of nouns and verbs on the vocabulary list .701959Item InformationAlignmentAnswer KeyDepth of Knowledgep-value Ap-value Bp-value Cp-value DOption AnnotationsA-F .1 .1D125%13%8%54% (correct answer)A .only compares numerators and does not consider denominatorsB .only compares denominators and does not consider numeratorsC .incorrectly creates an equivalent fraction by adding 2 to both the5numerator and denominator of10D .Correct: creates equivalent fractions by dividing the numerator5 by 5 and by dividing the numerator andand denominator of106denominator ofby 612PSSA Grade 4 Mathematics Item and Scoring Sampler—September 202116
PSSA MATHEMATICS GRADE 47 .7 of the full setIn September, Mrs . Jones had a full set of pencils . In October, she had122remaining . In November, she gave awayof the full set . What fraction of the full set of pencils12did Mrs . Jones have remaining at the end of November?A .5B .5C .5D .5241260652758Item InformationAlignmentAnswer KeyDepth of Knowledgep-value Ap-value Bp-value Cp-value DOption AnnotationsA-F .2 .1 .1B16%86% (correct answer)5%3%A .B .C .D .subtracts the numerators but adds the denominatorsCorrect: subtracts the numerators while leaving the commondenominatorsubtracts the numerators but “reduces” the 12 to 6 by dividing the12 by 2subtracts the numerators and the denominatorsPSSA Grade 4 Mathematics Item and Scoring Sampler—September 202117
PSSA MATHEMATICS GRADE 48 .2 miles . WhichMikalya rode her bike on 4 days last week . She rode her bike a total of 23equation shows how many miles Mikalya could have ridden her bike each day?A .1 1 1 1 22B .2 2 1 1 22C .1 1 2 1 22D .2 2 2 1 2233333333333333703508Item InformationAlignmentAnswer KeyDepth of Knowledgep-value Ap-value Bp-value Cp-value DOption AnnotationsA-F .2 .1 .2A279% (correct answer)7%7%7%1 2 to get2 1 1 221 Correct: uses3 3 3332 fractions to 1 1B . adds only one of the31 1 1 to get 1 2 1 22C . uses3 3332 1 1 22 1 222 2 1 to get either2 or 1 D . uses3 33333A .PSSA Grade 4 Mathematics Item and Scoring Sampler—September 202118
PSSA MATHEMATICS GRADE 49 .2 of the bananas are already ripe . How many bananas are already ripeIn each box of bananas,10in a box of 30 bananas?A .2B .6C . 12D .20656705Item InformationAlignmentAnswer KeyDepth of Knowledgep-value Ap-value Bp-value Cp-value DOption AnnotationsA-F .2 .1 .7A-F .2 .1 .6B29%50% (correct answer)15%26%A . uses only the value of the numeratorB .Correct: multiplies the numerator by the number of bananas (2 30)and then divides the product by the denominator (60 10) OR30 to get2 30 60, and then30, multiplies2 byconverts 30 to110110 1 1060 to 6converts10C . adds the numerator to the denominator (2 10)D . multiplies the numerator by the denominator (2 10) OR subtractsthe denominator from the number of bananas (30 – 10)PSSA Grade 4 Mathematics Item and Scoring Sampler—September 202119
PSSA MATHEMATICS GRADE 49 meter long . Which statement4 meter long . The other is10 . Pauline has two sticks . One is10100correctly compares the two lengths when written as decimals?A .0 .04 0 .09B .0 .04 0 .90C . 0 .90 0 .40D .0 .09 0 .40671465Item InformationAlignmentAnswer KeyDepth of Knowledgep-value Ap-value Bp-value Cp-value DOption AnnotationsA-F .3 .1 .2A-F .3 .1 .3D132%17%8%43% (correct answer)A .4incorrectly converts10B .incorrectly converts both fractionsC .9 and uses the wrong inequality sign for theincorrectly converts100given decimalsD .4 to 0 .4 and includes a 0 placeholder in theCorrect: converts109 to 0 .09, identifieshundredths place to get 0 .40, converts100the comparison symbol as “less than,” and orders the decimalsby comparing place values OR creates an equivalent fraction4 by multiplying the numerator and denominator by 10,of1040 to 0 .40, converts9 to 0 .09, identifies theconverts100100comparison symbol as “less than,” and orders the decimals bycomparing place valuesPSSA Grade 4 Mathematics Item and Scoring Sampler—September 202120
PSSA MATHEMATICS GRADE 411 . Jesse has 4 rows of rocks . There are 6 rocks in each row . Which description shows another wayJesse can organize all of his rocks?A .2 rows with 5 rocks in each rowB .3 rows with 8 rocks in each rowC . 5 rows with 5 rocks in each rowD .2 rows with 24 rocks in each row678033Item InformationAlignmentAnswer KeyDepth of Knowledgep-value Ap-value Bp-value Cp-value DOption AnnotationsB-O .2 .1 .1B28%67% (correct answer)11%14%A . incorrectly uses 4 6 10 as the total number of rocks andmatches with 2 5 10B . Correct: determines 4 6 24 and recognizes that 3 8 alsoequals 24C . incorrectly uses 4 6 25 as the total number of rocksD . uses the total number of rocks (24) as the number of rocks in eachrowPSSA Grade 4 Mathematics Item and Scoring Sampler—September 202121
PSSA MATHEMATICS GRADE 412 . The shapes below show a pattern .shape 1shape 2shape 3shape 4The pattern continues . How many sides will shape 10 have?A .16B .22C . 30D .40702702Item InformationAlignmentAnswer KeyDepth of Knowledgep-value Ap-value Bp-value Cp-value DOption AnnotationsB-O .3 .1B218%60% (correct answer)10%12%A . adds 6 to the shape number because 4 6 10 in shape 4B . Correct: recognizes that each shape has 2 more sides than theprevious shape, so extends the pattern by adding 2 each time ORdetermines the rule to be “multiply the shape number by 2 and thenadd 2,” so multiplies 10 by 2 and then adds 2 to 20C . multiplies 3 by the shape number because 2 3 6 in shape 2D . multiplies 4 by the shape number because 1 4 4 in shape 1PSSA Grade 4 Mathematics Item and Scoring Sampler—September 202122
PSSA MATHEMATICS GRADE 413 . The shape of Nepal’s flag is shown below .NKMJLWhich statement about the shape of Nepal’s flag is true?A .Angle N is a right angle .B .Angle J is an obtuse angle .C . Line segment ML and line segment KJ are parallel .D .Line segment ML and line segment KL are perpendicular .675118Item InformationAlignmentAnswer KeyDepth of Knowledgep-value Ap-value Bp-value Cp-value DOption AnnotationsC-G .1 .1 .1C218%10%52% (correct answer)20%A . incorrectly describes the angle (angle is acute, not right)B . incorrectly describes the angle (angle is acute, not obtuse)C . Correct: identifies that line segments ML and KJ are both horizontal,which means they are parallelD . misidentifies angle KLM as a right angle or does not know thatperpendicular line segments should form a right anglePSSA Grade 4 Mathematics Item and Scoring Sampler—September 202123
PSSA MATHEMATICS GRADE 414 . The shape of a window in Neal’s house is shown below .The opposite sides of the window are parallel . No pair of sides is perpendicular . Which termdescribes the shape of the window?A .parallelogramB .rectangleC . squareD .trapezoid702995Item InformationAlignmentAnswer KeyDepth of Knowledgep-value Ap-value Bp-value Cp-value DOption AnnotationsC-G .1 .1 .2A163% (correct answer)4%15%18%A . Correct: identifies a quadrilateral with opposite sides parallel as aparallelogramB . does not associate “perpendicular” with right anglesC . thinks parallel sides mean all sides are equal length; does notassociate “perpendicular” with right anglesD . thinks only one pair of opposite sides are parallelPSSA Grade 4 Mathematics Item and Scoring Sampler—September 202124
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PSSA MATHEMATICS GRADE 415 . Erin sorted some shapes based on the number of lines of symmetry each shape has .Group AGroup BWhich shape belongs in Group B?A .B .C .D .701390PSSA Grade 4 Mathematics Item and Scoring Sampler—September 202126
PSSA MATHEMATICS GRADE 4Item InformationAlignmentAnswer KeyDepth of Knowledgep-value Ap-value Bp-value Cp-value DOption AnnotationsC-G .1 .1 .3D225%12%7%56% (correct answer)A . identifies a shape with only one line of symmetryB . identifies a shape with only one line of symmetryC . identifies a shape with no lines of symmetryD . Correct: recognizes that the shapes in Group B each have 2 lines ofsymmetry, so identifies a shape with 2 lines of symmetryPSSA Grade 4 Mathematics Item and
PSSA Grade 4 Mathematics Item and Scoring Sampler—September 2021 7. INFORMATION ABOUT MATHEMATICS. Grade 4 Formula Sheet. Formulas and conversions that you may need on this test are found below. You may refer back to this page at any time during the mathematics test. 2021 Gr
