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8RELEASEDMATHEMATICS ITEMSThis book contains the released Trends in International Mathematics and Science Study(TIMSS) 1999 grade 8 mathematics assessment items. This is not a complete set of all TIMSS1999 assessment items because some items are kept confidential so that they may be used insubsequent cycles of TIMSS to measure trends.How Can This Set of Released Items Be Used?In teacher-designed assessments. The items in this book present different ways of measuringstudents’ understanding in various content and cognitive domains. A teacher may use theseitems to create an assessment according to the needs of the class after reviewing the items andselecting items of interest.For feedback on student understanding. Student responses can be scored according to thescoring information provided in the book. Items that coincide with concepts taught in classallow the teacher to gain feedback on the students’ understanding of assessed concepts. Forexample, a teacher might decide to examine the incorrect or partially correct responses of theclass. The teacher might use the items to identify particular difficulties or misconceptionsexperienced by individual students, which can serve as the basis for some remedial teaching orfocused practice.To benchmark student performance. The teacher might also compare the percent of studentsin the class who responded correctly to an item with the percent of students who respondedcorrectly to the same item in other education systems or in the United States.TIMSS and PIRLS are copyrighted and are registered trademarks of IEA. Released items fromTIMSS and PIRLS assessments are for non-commercial, educational, and research purposes only.Translated versions of items remain the intellectual property of IEA. Although the items are in thepublic domain, please print an acknowledgement of the source, including the year and name of theassessment you are using. If you publish any part of the released items from TIMSS 1999, please usethe following acknowledgement:SOURCE: TIMSS 1999 Assessment. Copyright 2001 International Association for the Evaluation ofEducational Achievement (IEA). Publisher: TIMSS & PIRLS International Study Center, Lynch Schoolof Education, Boston College, Chestnut Hill, MA and International Association for the Evaluation ofEducational Achievement (IEA), IEA Secretariat, Amsterdam, the Netherlands.18675.0206

Guide to the Content and Layout of This BookThis book contains the released items from TIMSS 1999. Due to slight revisions in terminology andreleased information between cycles, the format for the items in each cycle differs slightly. Each item appearson a single page and is accompanied by a number of descriptors.1999 Content Domains: Fractions and number senseAlgebraMeasurementGeometryData representation, analysis, and probability1999 Cognitive Domains: KnowingUsing routine proceduresInvestigating and problem solvingMathematical reasoningCommunicatingTake a look at Calories in a portion of food from ratio, the name given to the first 1999 item in this book. Asspecified in boxes at the top of the page, the content domain for this item is fractions and number sense andthe cognitive domain is investigating and solving problems.International item numbers identify each item. This number appears just below the item box.Correct answers are shown beneath each item. These correct answers take two forms: Letter code. This form is used for the correct response on multiple-choice items. Scoring guide. This form is used to assist in scoring write-in responses. In some cases, partial creditmay be awarded and these items will provide guidelines for fully correct, partially correct, and incorrectresponses.Sample student responses are provided for some extended response items.International benchmarks are provided in a table next to each item. These consist of statistics on thepercentage of students in each country who answered the question correctly. The countries are ordered interms of this percentage. The international average is included as well, and this display also indicates whichcountries scored significantly higher, significantly lower, and not significantly different from thisinternational average.

TIMSS 1999 8th-Grade Mathematics Concepts and Mathematics ItemsContent DomainCognitive DomainFractions and Number SenseInvestigatingand Solving ProblemsOverall Percent CorrectCalories in portion of food from ratioIf there are 300 calories in 100 g of a certain food, how manycalories are there in a 30 g portion of this food?A. 90B. 100C. 900D. 1000E. 9000Item Number: B08SingaporeKorea, Rep. ofHong Kong, SARChinese TaipeiSlovak RepublicMalaysiaBelgium (Flemish)Czech RepublicRussian FederationThailandSloveniaCyprusMacedonia, Rep. andsLatvia (LSS)EnglandInternational AverageTunisiaNew ZealandBulgariaUnited StatesTurkeyIsraelIran, Islamic coPhilippinesSouth 6969696868666666656362565654534237Country average vs.International average:HigherNot differentLowerCorrect Response:ACopyright 2001 International Association for the Evaluation of Educational Achievement (IEA).3 O O O OOOOOOOOOOOOO

TIMSS 1999 8th-Grade Mathematics Concepts and Mathematics ItemsContent DomainCognitive DomainFractions and Number SenseUsing Complex ProceduresOverall Percent CorrectFigure showing equivalent fractionsSingaporeHong Kong, SARKorea, Rep. ofJapanChinese TaipeiMalaysiaBelgium United StatesCyprusRussian ernational AverageNew ZealandIran, Islamic Rep.MoldovaHungaryBulgariaSlovak RepublicLithuaniaJordanLatvia (LSS)Czech RepublicTurkeyChileIndonesiaMacedonia, Rep. ofRomaniaTunisiaSouth AfricaMoroccoItem Number: 4535252514948464646464544332923Country average vs.International average:HigherNot differentLowerCorrect Response:ACopyright 2001 International Association for the Evaluation of Educational Achievement (IEA).4 O OOOOOOOOOO O

TIMSS 1999 8th-Grade Mathematics Concepts and Mathematics ItemsContent DomainCognitive DomainFractions and Number SenseKnowingOverall Percent CorrectSmallest decimal fractionSingaporeHong Kong, SARKorea, Rep. ofNetherlandsJapanFinlandChinese TaipeiBelgium (Flemish)LithuaniaCanadaSlovak RepublicCzech RepublicMalaysiaSloveniaAustraliaHungaryRussian FederationUnited StatesLatvia (LSS)BulgariaInternational AverageEnglandThailandNew usJordanMacedonia, Rep. ofChileIran, Islamic Rep.PhilippinesIndonesiaTurkeySouth AfricaWhich of these is the smallest number?A. 0.625B. 0.25C. 0.375D. 0.5E. 0.125Item Number: 3373431312928272625141010996Country average vs.International average:HigherNot differentLowerCorrect Response:ECopyright 2001 International Association for the Evaluation of Educational Achievement (IEA).5 O OOOOOOO

TIMSS 1999 8th-Grade Mathematics Concepts and Mathematics ItemsContent DomainCognitive DomainFractions and Number SenseUsing Complex ProceduresOverall Percent CorrectSmallest simple fractionHong Kong, SARSingaporeJapanNetherlandsFinlandChinese TaipeiCanadaKorea, Rep. ofBelgium (Flemish)AustraliaUnited StatesSloveniaNew ZealandIsraelCyprusEnglandHungarySlovak RepublicCzech RepublicMalaysiaInternational AverageTunisiaLatvia (LSS)Russian onia, Rep. ofIran, Islamic Rep.ThailandPhilippinesTurkeyMoldovaIndonesiaSouth AfricaMoroccoChileWhich of these fractions is smallest?1A. ––62B. ––31C. ––31D. ––2Item Number: 9595150474644434239393838282521Country average vs.International average:HigherNot differentLowerCorrect Response:ACopyright 2001 International Association for the Evaluation of Educational Achievement (IEA).6 O OOOOOOO

TIMSS 1999 8th-Grade Mathematics Concepts and Mathematics ItemsContent DomainCognitive DomainFractions and Number SenseKnowingOverall Percent CorrectEstimate of point P on number lineJapanSingaporeFinlandNetherlandsEnglandHong Kong, SARBelgium (Flemish)CanadaAustraliaChinese TaipeiUnited StatesKorea, Rep. ofSlovak RepublicHungaryNew ZealandMalaysiaSloveniaLatvia (LSS)Russian FederationItalyInternational AverageCzech eyChileRomaniaJordanPhilippinesMacedonia, Rep. ofIndonesiaCyprusMoroccoTunisiaSouth AfricaIran, Islamic Rep.Item Number: 4636361595453535149464443403832Country average vs.International average:HigherNot differentLowerCorrect Response:BCopyright 2001 International Association for the Evaluation of Educational Achievement (IEA).7 O OOOOO

TIMSS 1999 8th-Grade Mathematics Concepts and Mathematics ItemsContent DomainCognitive DomainFractions and Number SenseInvestigatingand Solving ProblemsOverall Percent CorrectAverage speed from distance and timeA runner ran 3000 m in exactly 8 minutes. What was his averagespeed in meters per second?A. 3.75B. 6.25C. 16.0D. 37.5E. 62.5Item Number: F07SingaporeChinese TaipeiHong Kong, SARJapanMalaysiaRussian FederationBelgium (Flemish)Korea, Rep. ofSlovak aInternational AverageRomaniaCanadaCzech RepublicTurkeyFinlandAustraliaLatvia (LSS)MoldovaUnited StatesThailandIndonesiaIsraelTunisiaMacedonia, Rep. ofNew ZealandItalyCyprusEnglandJordanIran, Islamic Rep.ChileMoroccoSouth ry average vs.International average:HigherNot differentLowerCorrect Response:BCopyright 2001 International Association for the Evaluation of Educational Achievement (IEA).8 O O O OOOOOOOOO

TIMSS 1999 8th-Grade Mathematics Concepts and Mathematics ItemsContent DomainCognitive DomainFractions and Number SenseUsing Complex ProceduresOverall Percent CorrectNumber between two decimal fractionsWhich of these numbers is between 0.07 and 0.08?A. 0.00075B. 0.0075C. 0.075D. 0.75Item Number: F09SingaporeNetherlandsKorea, Rep. ofBelgium (Flemish)JapanChinese TaipeiHong Kong, SARFinlandCanadaAustraliaSloveniaSlovak RepublicEnglandLithuaniaCzech RepublicMalaysiaUnited StatesHungaryRussian FederationNew ZealandBulgariaLatvia (LSS)International AverageItalyIsraelMacedonia, Rep. aMoroccoJordanTurkeyPhilippinesSouth AfricaIran, Islamic 59575656545352484240393735343331Country average vs.International average:HigherNot differentLowerCorrect Response:CCopyright 2001 International Association for the Evaluation of Educational Achievement (IEA).9 O OOOOO

TIMSS 1999 8th-Grade Mathematics Concepts and Mathematics ItemsContent DomainCognitive DomainFractions and Number SenseKnowingOverall Percent CorrectFraction of circle shadedNetherlandsBelgium (Flemish)EnglandHong Kong, SARSingaporeCanadaAustraliaNew ZealandUnited StatesChinese ch RepublicMalaysiaCyprusInternational AverageKorea, Rep. ofRussian FederationSlovak RepublicItalyLatvia oroccoIran, Islamic Rep.ChilePhilippinesLithuaniaTurkeyMacedonia, Rep. ofSouth AfricaItem Number: 8444340403939343332323131282726Country average vs.International average:HigherNot differentLowerCorrect Response:CCopyright 2001 International Association for the Evaluation of Educational Achievement (IEA).10 O OOOOOOOOOO

TIMSS 1999 8th-Grade Mathematics Concepts and Mathematics ItemsContent DomainCognitive DomainFractions and Number SenseKnowingOverall Percent CorrectFigure showing fraction of shaded squareSingaporeBelgium (Flemish)Hong Kong, SARNetherlandsCanadaJapanChinese TaipeiFinlandKorea, Rep. ofCyprusUnited StatesMalaysiaAustraliaEnglandNew ZealandHungarySloveniaIran, Islamic Rep.IsraelSlovak RepublicThailandInternational AverageLatvia (LSS)Czech RepublicItalyRussian FederationBulgariaChileJordanTurkeyMacedonia, Rep. iaSouth AfricaMoroccoItem Number: 563615957545349484645434131217Country average vs.International average:HigherNot differentLowerCorrect Response:ECopyright 2001 International Association for the Evaluation of Educational Achievement (IEA).11 O OOOOOOO

TIMSS 1999 8th-Grade Mathematics Concepts and Mathematics ItemsContent DomainCognitive DomainFractions and Number SenseUsing Complex ProceduresOverall Percent CorrectSum closest to 691 208SingaporeBelgium (Flemish)JapanNetherlandsHong Kong, SARCanadaUnited StatesHungaryKorea, Rep. ofSloveniaEnglandCzech RepublicAustraliaFinlandSlovak RepublicChinese TaipeiNew ZealandMalaysiaLatvia (LSS)BulgariaCyprusLithuaniaRussian FederationIsraelInternational AverageMacedonia, Rep. ileIran, Islamic Rep.IndonesiaPhilippinesMoroccoSouth AfricaThe sum 691 208 is closest to the sumA. 600 200B. 700 200C. 700 300D. 900 200Item Number: 3807977777473676666655854534337Country average vs.International average:HigherNot differentLowerCorrect Response:BCopyright 2001 International Association for the Evaluation of Educational Achievement (IEA).12 O OOOOOO

TIMSS 1999 8th-Grade Mathematics Concepts and Mathematics ItemsContent DomainCognitive DomainFractions and Number SenseUsing Routine ProceduresOverall Percent CorrectDivision of fractions6Divide: ––55 3––25SingaporeChinese TaipeiHong Kong, SARKorea, Rep. ofJapanSloveniaRussian FederationBulgariaSlovak RepublicLatvia (LSS)HungaryRomaniaLithuaniaItalyBelgium (Flemish)MoldovaCzech RepublicMalaysiaInternational AverageTurkeyThailandUnited StatesIran, Islamic Rep.CanadaJordanTunisiaChileIndonesiaMacedonia, Rep. esNew ZealandSouth AfricaEnglandMorocco Answer:Item Number: J12SCORINGCorrect Response 10/11 Other fractions or decimals equivalent to 10/11 (e.g., 30/33, 150/165, .909, .91, etc.)Incorrect Response Any fraction with 2 as a numerator [Divides 6 by 3] Other incorrect (including crossed out/erased, stray marks, illegible, or off task)Copyright 2001 International Association for the Evaluation of Educational Achievement 373432322926242423222117121110544Country average vs.International average:HigherNot differentLower O O OO

TIMSS 1999 8th-Grade Mathematics Concepts and Mathematics ItemsContent DomainCognitive DomainFractions and Number SenseUsing Routine ProceduresOverall Percent CorrectDivision of decimalsJapanSlovak RepublicRussian FederationHong Kong, SARLithuaniaChinese TaipeiHungaryKorea, Rep. ofLatvia (LSS)SloveniaMoldovaBulgariaCzech RepublicBelgium (Flemish)SingaporeNetherlandsRomaniaInternational AverageUnited StatesCanadaMalaysiaMacedonia, Rep. ew ZealandTunisiaPhilippinesAustraliaSouth AfricaChileEnglandTurkeyIran, Islamic Rep.MoroccoDivide 0.003)15.45A. 0.515B. 5.15C. 51.5D. 515E. 5150Item Number: 0292624242321212020191816151414Country average vs.International average:HigherNot differentLowerCorrect Response:ECopyright 2001 International Association for the Evaluation of Educational Achievement (IEA).14 O OOOOOOOOO

TIMSS 1999 8th-Grade Mathematics Concepts and Mathematics ItemsContent DomainCognitive DomainFractions and Number SenseUsing Complex ProceduresOverall Percent CorrectDistance between towns from mapJapanBelgium (Flemish)SingaporeMalaysiaLithuaniaChinese TaipeiSloveniaNetherlandsLatvia (LSS)Russian FederationCzech EnglandFinlandCyprusSlovak RepublicKorea, Rep. ofNew ZealandInternational Macedonia, Rep. ofUnited StatesIran, Islamic Rep.TurkeyChileSouth AfricaMoroccoPhilippinesItem Number: 75654514644444340373530262524Country average vs.International average:HigherNot differentLowerCorrect Response:DCopyright 2001 International Association for the Evaluation of Educational Achievement (IEA).15 O O OOOOOOOOOOOOOO

TIMSS 1999 8th-Grade Mathematics Concepts and Mathematics ItemsContent DomainCognitive DomainFractions and Number SenseUsing Complex ProceduresOverall Percent CorrectLength of building compared to carSingaporeMalaysiaCzech RepublicSlovak RepublicHungaryRussian FederationFinlandChinese TaipeiKorea, Rep. ofLithuaniaLatvia (LSS)Belgium (Flemish)JapanHong Kong, SARAustraliaBulgariaNetherlandsSloveniaCanadaNew ZealandEnglandRomaniaMoldovaInternational AverageThailandItalyUnited StatesCyprusTunisiaMacedonia, Rep. ofTurkeyIsraelIran, Islamic Rep.ChileIndonesiaJordanMoroccoPhilippinesSouth AfricaItem Number: 5737372717069686861605956434026Country average vs.International average:HigherNot differentLowerCorrect Response:BCopyright 2001 International Association for the Evaluation of Educational Achievement (IEA).16 O OOOOOOOOOOOO

TIMSS 1999 8th-Grade Mathematics Concepts and Mathematics ItemsContent DomainCognitive DomainFractions and Number SenseKnowingOverall Percent CorrectTwo hundred six and nine-tenthsWhich number is two hundred six and nine-tenths?A. 206.09B. 206.9C. 206.910D. 2006.9Item Number: L10HungaryRussian FederationSlovak RepublicBelgium (Flemish)Iran, Islamic Rep.MoldovaUnited StatesNetherlandsKorea, Rep. ofCanadaCzech RepublicJordanLithuaniaTurkeySingaporeChinese TaipeiBulgariaRomaniaFinlandHong Kong, SARAustraliaItalyInternational AverageIsraelJapanSloveniaChileMalaysiaLatvia (LSS)CyprusEnglandNew ZealandTunisiaMacedonia, Rep. ofPhilippinesMoroccoThailandSouth 1706867666562626160565554535343424241403123Country average vs.International average:HigherNot differentLowerCorrect Response:BCopyright 2001 International Association for the Evaluation of Educational Achievement (IEA).17 O O O OOOOOOOOOO O

TIMSS 1999 8th-Grade Mathematics Concepts and Mathematics ItemsContent DomainCognitive DomainFractions and Number SenseUsing Routine ProceduresOverall Percent CorrectSubtraction with three fractionsWhat is the value of4––5SingaporeChinese TaipeiKorea, Rep. ofBelgium (Flemish)Hong Kong, SARJapanMalaysiaRussian FederationSloveniaSlovak RepublicHungaryLithuaniaCanadaCzech RepublicNetherlandsUnited StatesInternational AverageIndonesiaFinlandThailandLatvia dovaItalyNew ZealandJordanMacedonia, Rep. ofIran, Islamic Rep.TunisiaPhilippinesEnglandChileSouth AfricaMorocco11– –– – –– ?3151A. ––52B. ––57C. ––153D. ––44E. ––5Item Number: 8474444434341403736363534322316Country average vs.International average:HigherNot differentLowerCorrect Response:BCopyright 2001 International Association for the Evaluation of Educational Achievement (IEA).18 O OOOOOOOOOOOOOOO O

TIMSS 1999 8th-Grade Mathematics Concepts and Mathematics ItemsContent DomainCognitive DomainFractions and Number SenseUsing Routine ProceduresOverall Percent CorrectNumber of cars from rounded valueA company produced 17,175 cars in 1996. For a report, thisnumber was rounded to the nearest hundred. Which was thenumber of cars given in the report?A. 17,000B. 17,100C. 17,200D. 17,270Item Number: N11SingaporeCzech RepublicFinlandSloveniaAustraliaBelgium (Flemish)HungarySlovak RepublicCanadaNetherlandsUnited StatesMalaysiaEnglandNew ZealandBulgariaHong Kong, SARChinese TaipeiKorea, Rep. ofRussian FederationLatvia (LSS)JapanLithuaniaInternational AverageRomaniaItalyIsraelThailandMacedonia, Rep. vaSouth AfricaTunisiaMoroccoIran, Islamic 72727268656461595855514938303025Country average vs.International average:HigherNot differentLowerCorrect Response:CCopyright 2001 International Association for the Evaluation of Educational Achievement (IEA).19 O O OOOOO

TIMSS 1999 8th-Grade Mathematics Concepts and Mathematics ItemsContent DomainCognitive DomainFractions and Number SenseKnowingOverall Percent CorrectList of equivalent fractionsIn which list of fractions are all of the fractions equivalent?1A. ––224, –– , ––462B. ––348, –– , ––6122C. ––548, –– , ––10503D. ––446, –– , ––68Item Number: N14Korea, Rep. ofChinese TaipeiHong Kong, SARSingaporeBelgium (Flemish)JapanNetherlandsCanadaRussian FederationHungaryBulgariaMalaysiaSlovak RepublicLatvia (LSS)LithuaniaSloveniaCyprusUnited StatesAustraliaFinlandInternational AverageCzech RepublicIsraelItalyThailandJordanRomaniaNew ZealandEnglandMoldovaIran, Islamic Rep.TunisiaIndonesiaTurkeyMacedonia, Rep. ofPhilippinesChileSouth 36161605957575555515150494948454442413432Country average vs.International average:HigherNot differentLowerCorrect Response:BCopyright 2001 International Association for the Evaluation of Educational Achievement (IEA).20 O OOOOOOOOOOOOOOOOO

TIMSS 1999 8th-Grade Mathematics Concepts and Mathematics ItemsContent DomainCognitive DomainFractions and Number SenseInvestigatingand Solving ProblemsOverall Percent CorrectNumber of marbles in bagPenny had a bag of marbles. She gave one-third of them toRebecca, and then one-fourth of the remaining marbles to John.Penny then had 24 marbles left in the bag. How many marbleswere in the bag to start with?A. 36B. 48C. 60D. 96Item Number: N16SingaporeJapanKorea, Rep. ofChinese TaipeiHong Kong, SARNetherlandsFinlandBelgium (Flemish)New ZealandAustraliaMalaysiaEnglandSlovak RepublicThailandCanadaHungaryCzech RepublicInternational AveragePhilippinesBulgariaRussian FederationIsraelMoldovaLatvia (LSS)United edonia, Rep. ofMoroccoJordanTunisiaLithuaniaSouth AfricaIran, Islamic 2424141413938383837363534333332313130Country average vs.International average:HigherNot differentLowerCorrect Response:BCopyright 2001 International Association for the Evaluation of Educational Achievement (IEA).21 O OOOOOOOOOOOOOOOOOOOOOOOOO

TIMSS 1999 8th-Grade Mathematics Concepts and Mathematics ItemsContent DomainCognitive DomainFractions and Number SenseInvestigatingand Solving ProblemsOverall Percent CorrectAmount of paint leftA painter had 25 L of paint. He used 2.5 L of paint every hour. Hefinished the job in 5.5 hours. How much paint did he have left?A. 10.25 LB. 11.25 LC. 12.75 LD. 13.75 LItem Number: N17SingaporeChinese TaipeiHong Kong, SARMalaysiaKorea, Rep. ofNetherlandsJapanCzech RepublicHungaryBulgariaRussian FederationLithuaniaBelgium (Flemish)Slovak RepublicCanadaSloveniaInternational AverageUnited StatesFinlandCyprusAustraliaLatvia (LSS)TurkeyRomaniaMoldovaNew ZealandMacedonia, Rep. ofItalyEnglandTunisiaIsraelIran, Islamic Rep.MoroccoIndonesiaChileJordanPhilippinesSouth 29292929282727262525232222212018Country average vs.International average:HigherNot differentLowerCorrect Response:BCopyright 2001 International Association for the Evaluation of Educational Achievement (IEA).22 O OOOOOOOOOOOOOOOOOOOOO

TIMSS 1999 8th-Grade Mathematics Concepts and Mathematics ItemsContent DomainCognitive DomainFractions and Number SenseKnowingOverall Percent CorrectShade in 3/8 of squares in gridSingaporeHong Kong, SARBelgium (Flemish)Korea, Rep. ofChinese AustraliaSloveniaBulgariaCyprusEnglandSlovak RepublicRussian FederationUnited StatesInternational AverageThailandNew ZealandItalyLatvia (LSS)MoldovaCzech RepublicIsraelRomaniaMacedonia, Rep. ofJordanIran, Islamic sMoroccoSouth AfricaItem Number: N19SCORINGCorrect Response 9 squares are shaded (regardless of which squares) Other correct (e.g., 6 full squares and 6 half squares shaded or other equivalent of nine squares)Incorrect Response 3 squares shaded 11 or 13 squares shaded 3 squares shaded and 8 more squares shaded (areas are shaded separately) Other incorrect (including crossed out/erased, stray marks, illegible, or off task)Copyright 2001 International Association for the Evaluation of Educational Achievement (IEA).Country average vs.International average:HigherNot differentLower 8 squares 4646464442403932313128262621131187 O O OOOOOOOOOOOOO

TIMSS 1999 8th-Grade Mathematics Concepts and Mathematics ItemsContent DomainCognitive DomainFractions and Number SenseUsing Complex ProceduresOverall Percent CorrectEstimate of total cars in parking lotThere are 68 rows of cars in a parking lot. Each row has 92cars. Which of these would give the closest estimate of the totalnumber of cars in the parking lot?A. 60 x 90 5400B. 60 x 100 6000C. 70 x 90 6300D. 70 x 100 7000Item Number: P13SingaporeHong Kong, SARBelgium (Flemish)JapanKorea, Rep. ofChinese TaipeiNetherlandsFinlandUnited StatesSlovak RepublicHungaryCanadaCzech RepublicMalaysiaAustraliaSloveniaEnglandNew ZealandRussian FederationInternational AverageIsraelLatvia acedonia, Rep. ofItalyMoldovaTurkeyChileTunisiaIran, Islamic Rep.IndonesiaPhilippinesSouth 56563626060585857555352525048484844423017Country average vs.International average:HigherNot differentLowerCorrect Response:CCopyright 2001 International Association for the Evaluation of Educational Achievement (IEA).24 O OOOOOOOOOO

TIMSS 1999 8th-Grade Mathematics Concepts and Mathematics ItemsContent DomainCognitive DomainFractions and Number SenseInvestigatingand Solving ProblemsOverall Percent CorrectEstimate of distance from explosionSound travels at approximately 330 meters per second. Thesound of an explosion took 28 seconds to reach a person. Which ofthese is the closest estimate of how far away the person was fromthe explosion?A. 12,000 mB. 9,000 mC. 8,000 mD. 6,000 mItem Number: P14SingaporeJapanKorea, Rep. ofHong Kong, SARChinese TaipeiSlovak RepublicSloveniaCzech RepublicMalaysiaBelgium (Flemish)CanadaNetherlandsFinlandUnited StatesAustraliaLithuaniaHungaryRussian FederationThailandInternational AverageBulgariaItalyLatvia (LSS)IsraelTurkeyCyprusNew ZealandEnglandMacedonia, Rep. ran, Islamic Rep.ChileSouth 95655525251505050504745434242414038372113Country average vs.International average:HigherNot differentLowerCorrect Response:BCopyright 2001 International Association for the Evaluation of Educational Achievement (IEA).25 O OO OOOOOOOOOOOOO

TIMSS 1999 8th-Grade Mathematics Concepts and Mathematics ItemsContent DomainCognitive DomainFractions and Number SenseInvestigatingand Solving ProblemsOverall Percent CorrectFraction of cherries in basket1Robin and Jim took cherries from a basket. Robin took –– of31 of the cherries. What fraction ofthe cherries and Jim took ––6the cherries remained in the basket?1A. ––21B. ––31C. ––61D. ––18Item Number: P15SingaporeHong Kong, SARChinese TaipeiBelgium (Flemish)JapanNetherlandsCyprusMalaysiaKorea, Rep. ofHungaryCanadaUnited StatesRussian FederationAustraliaSloveniaLatvia (LSS)FinlandSlovak RepublicRomaniaLithuaniaInternational AverageMoldovaCzech RepublicIsraelNew ZealandBulgariaEnglandMacedonia, Rep. ofJordanIndonesiaItalyIran, Islamic Rep.TurkeyTunisiaThailandPhilippinesChileSouth 74645444343434342383434323232312922221814Country average vs.International average:HigherNot differentLowerCorrect Response:ACopyright 2001 International Association for the Evaluation of Educational Achievement (IEA).26 O OOOOOOOOOOOOOOOO

TIMSS 1999 8th-Grade Mathematics Concepts and Mathematics ItemsContent DomainCognitive DomainFractions and Number SenseUsing Routine ProceduresOverall Percent CorrectWrite decimal as fractionWrite 0.48 as a fraction reduced to its lowest terms.Answer:Item Number: P17SCORINGCorrect Response 12/25Incorrect 3028252424242423222222191813121143Country average vs.International average: 48/100 OR 24/50 Any fraction other than 48/100 with 48 as numeratorHigherNot differentLower Any fraction with 48 as denominator 4/8 OR 2/4 OR 1/2 Other incorrect (including crossed out/erased, stray marks, illegible, or off task)Copyright 2001 International Association for the Evaluation of Educational Achievement (IEA).SingaporeKorea, Rep. ofHong Kong, SARChinese TaipeiJapanBelgium (Flemish)MoldovaCanadaSloveniaUnited StatesIran, Islamic Rep.BulgariaAustraliaSlovak RepublicRussian FederationRomaniaMalaysiaHungaryInternational AverageTunisiaNetherlandsCzech RepublicLatvia (LSS)ItalyIsraelTurkeyThailandLithuaniaNew a, Rep. ofPhilippines

8 RELEASED MATHEMATICS ITEMS This book contains the released Trends in International Mathematics and Science Study (TIMSS) 1999 grade 8 mathematics assessment items. This is not a complete set of all TIMSS 1999 assessment items because some items are kept confidential so that they may be used in subsequent cycles of TIMSS to measure trends.

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