Knowing Facts Fractions and Decimals and Procedures Pair ...NuMBeR Fractions and Decimals Knowing Facts and Procedures Addition/multiplication with fractions Chinese Taipei 82 p Korea,

$Page 1: Knowing Facts Fractions and Decimals and Procedures Pair ...NuMBeR Fractions and Decimals Knowing Facts and Procedures Addition/multiplication with fractions Chinese Taipei 82 p Korea,$
Correct Response:

180

Main TopicContent Domain Cognitive Domain

Overall Percent Correct

Country average vs. International average:

Higher pNotdifferent OLower q

TIMSS 2003 8th-Grade Mathematics Concepts and Mathematics Items

NuMBeR FractionsandDecimalsKnowingFactsandProcedures

Pairofnumbersbracketing2.25

Item Number: M012016

B

Korea, Republic of 77 pSingapore 71 pBelgium (Flemish) 63 pLithuania 61 pHong Kong, SAR 61 pChinese Taipei 60 pRussian Federation 58 pHungary 58 pEstonia 57 pIsrael 57 pSlovak Republic 55 pJapan 55 pSweden 55 OUnited States 54 pSerbia and Montenegro 54 OSlovenia 53 ORomania 52 OItaly 52 OAustralia 52 OLatvia 52 OPhilippines 52 ONetherlands 51 OScotland 51 ONorway 51 OCyprus 51 OInternational average 50 OBulgaria 50 OMalaysia 50 OEngland 50 OMoldova, Republic of 48 ONew Zealand 47 OBotswana 46 qArmenia 46 OSaudi Arabia 46 qLebanon 45 qGhana 44 qMacedonia, Republic of 44 qTunisia 43 qMorocco 41 qEgypt 40 qBahrain 40 qSouth Africa 39 qChile 39 qPalestinian Nat’l Auth. 39 qJordan 38 qIran, Islamic Republic of 38 q

M012016

In which of these pairs of numbers is 2.25 larger than the first number butsmaller than the second number?

a 1 and 2

b 2 and

52

c

52

and

114

d

114

and 3


181





SCORINGCorrect Response

• 30

Incorrect Response

• 30 kg [incorrect unit]

• 6/5 [6 x 1/5]

• 4 [4/5 more needed to complete 1 kg]

• 5 [5 scoops = 1 kg flour]

• 6 [from stem]

• Otherincorrect(includingcrossedout/erased,straymarks,illegible,orofftask).


Scoops of flour needed to fill bag


Singapore 79 pHong Kong, SAR 76 pChinese Taipei 75 pNetherlands 74 pKorea, Republic of 68 pJapan 62 pBelgium (Flemish) 62 pSweden 60 pAustralia 53 pUnited States 52 pScotland 51 pEstonia 51 pLatvia 51 pHungary 51 pEngland 50 pRussian Federation 49 pIsrael 48 pMalaysia 47 pNew Zealand 46 pSlovenia 46 pArmenia 45 pLithuania 43 pSlovak Republic 43 pNorway 39 ORomania 39 OSerbia and Montenegro 38 OBulgaria 38 OInternational average 38 OCyprus 37 OMoldova, Republic of 37 OItaly 34 OIndonesia 26 qMacedonia, Republic of 22 qIran, Islamic Republic of 20 qTunisia 18 qEgypt 17 qJordan 16 qLebanon 15 qChile 13 qPhilippines 13 qBahrain 11 qBotswana 11 qPalestinian Nat’l Auth. 10 qMorocco 8 qSouth Africa 7 qSaudi Arabia 7 qGhana 6 q

M022156

A scoop holds

1

5 kg of flour. How many scoops of flour are needed to fill a

bag with 6 kg of flour?

Answer: _______________

182

Student Responses


Correct Response:

Incorrect Response:

Scoops of flour needed to fill bag (continued)Item Number: M022156

Main TopicContent Domain

Correct Response:

Cognitive Domain

183






Addition/multiplicationwithfractions

Chinese Taipei 82 pKorea, Republic of 80 pJapan 75 pSingapore 72 pHong Kong, SAR 69 pEgypt 58 pRomania 54 pItaly 53 pBelgium (Flemish) 53 pSlovenia 51 pSlovak Republic 51 pHungary 50 pEstonia 50 pMalaysia 48 pBulgaria 48 pRussian Federation 48 pLatvia 46 pSerbia and Montenegro 45 pLithuania 44 pArmenia 42 OInternational average 40 OLebanon 40 OIsrael 40 ONetherlands 40 OMoldova, Republic of 39 OCyprus 36 qUnited States 36 qJordan 35 qIran, Islamic Republic of 34 qBahrain 29 qAustralia 28 qIndonesia 28 qEngland 28 qNew Zealand 28 qPalestinian Nat’l Auth. 27 qMacedonia, Republic of 27 qTunisia 26 qScotland 26 qMorocco 25 qBotswana 24 qSweden 22 qPhilippines 22 qChile 21 qNorway 21 qSouth Africa 18 qSaudi Arabia 16 q


e

M022199

3

5

3

10

4

15+ × =( )

a

3

51

b

1

6

c

6

25

d

11

25

e

17

25

Correct Response:

184






NuMBeR FractionsandDecimals Reasoning

Numberofmen/womenatmeeting

Korea, Republic of 89 pJapan 87 pNetherlands 86 pBelgium (Flemish) 83 pSingapore 81 pSweden 79 pNorway 77 pChinese Taipei 77 pMalaysia 74 pHong Kong, SAR 73 pHungary 71 pItaly 70 pSlovenia 68 pSlovak Republic 68 pEstonia 67 pScotland 67 pEngland 67 pBulgaria 67 pAustralia 66 pIsrael 65 pCyprus 64 pSerbia and Montenegro 63 pNew Zealand 63 OLatvia 62 OLithuania 60 OInternational average 59 ORussian Federation 57 OMoldova, Republic of 56 OIran, Islamic Republic of 56 OUnited States 52 qChile 51 qJordan 51 qIndonesia 50 qRomania 48 qBahrain 46 qPalestinian Nat’l Auth. 46 qMorocco 46 qEgypt 46 qMacedonia, Republic of 45 qBotswana 42 qTunisia 40 qArmenia 40 qSaudi Arabia 37 qGhana 31 qPhilippines 27 qLebanon 24 qSouth Africa 23 q


a

M022191

Two-thirds of the people present at the beginning of a meeting are men.Nobody leaves but 10 more men and 10 more women arrive at the meeting.Which of the following statements is true?

a There would then be more men than women at the meeting.

b There would then be the same number of men as there are women atthe meeting.

c There would then be more women than men at the meeting.

d From the information given, you cannot tell whether there would bemore women or men.


Correct Response:

Cognitive Domain

185





NuMBeR FractionsandDecimals SolvingRoutineProblems

Fractionofhourbetweentwotimepoints

Singapore 85 pHong Kong, SAR 80 pKorea, Republic of 77 pChinese Taipei 77 pSweden 73 pEngland 68 pNetherlands 67 pJapan 67 pBelgium (Flemish) 66 pHungary 66 pAustralia 65 pSlovak Republic 64 pScotland 63 pUnited States 62 pLatvia 62 pIsrael 61 pMalaysia 61 pNew Zealand 60 pSlovenia 58 pNorway 57 pBulgaria 56 pCyprus 56 pEstonia 55 ORussian Federation 53 OInternational average 52 OMoldova, Republic of 52 OArmenia 50 OLithuania 50 OSerbia and Montenegro 48 OJordan 46 qRomania 43 qPalestinian Nat’l Auth. 43 qEgypt 43 qItaly 41 qLebanon 40 qPhilippines 40 qMacedonia, Republic of 40 qBahrain 40 qIran, Islamic Republic of 38 qIndonesia 38 qSaudi Arabia 30 qBotswana 29 qChile 28 qSouth Africa 27 qMorocco 26 qGhana 24 qTunisia 20 q


B

M012027

What fraction of an hour has passed between 1:10 a.m. and 1:30 a.m.?

a

15

b

13

c

12

d

23

e

34

Correct Response:

186







Fraction birthdays in first half of year

Korea, Republic of 90 pSingapore 90 pHong Kong, SAR 86 pNetherlands 82 pChinese Taipei 79 pBelgium (Flemish) 76 pSweden 76 pEngland 75 pMalaysia 75 pIsrael 74 pUnited States 72 pNorway 71 pAustralia 69 pNew Zealand 69 pScotland 69 pJapan 68 pEstonia 62 pSlovenia 60 pCyprus 59 pHungary 58 pItaly 57 pLatvia 57 pLithuania 57 ORussian Federation 55 OSlovak Republic 54 OInternational average 52 OIran, Islamic Republic of 46 qBulgaria 43 qRomania 41 qBotswana 40 qMoldova, Republic of 38 qJordan 37 qChile 36 qIndonesia 36 qEgypt 35 qLebanon 33 qMacedonia, Republic of 31 qPalestinian Nat’l Auth. 31 qSerbia and Montenegro 31 qTunisia 31 qBahrain 30 qPhilippines 28 qArmenia 27 qMorocco 21 qSouth Africa 21 qGhana 20 qSaudi Arabia 15 q


D

M012041

In a group of children, 16 have birthdays during the first half of the year,and 14 have birthdays during the second half of the year. What fraction ofthe group have birthdays during the first half of the year?

a

1430

b

1416

c

1614

d

1630

e

3016


Correct Response:

Cognitive Domain

187






4/5 of books more than 2/3

Singapore 85 pKorea, Republic of 80 pHong Kong, SAR 78 pChinese Taipei 78 pMalaysia 69 pNetherlands 68 pJapan 66 pSweden 65 pBelgium (Flemish) 63 pScotland 61 pHungary 60 pEngland 57 pLatvia 57 pSlovenia 57 pItaly 56 pEstonia 54 pRomania 53 pAustralia 53 pSlovak Republic 52 OIsrael 52 OCyprus 51 OLithuania 50 ONew Zealand 50 OUnited States 50 OBulgaria 49 OSerbia and Montenegro 48 OInternational average 48 ORussian Federation 45 OMoldova, Republic of 44 ONorway 43 qMacedonia, Republic of 38 qArmenia 38 qIran, Islamic Republic of 38 qEgypt 37 qPhilippines 35 qIndonesia 35 qPalestinian Nat’l Auth. 34 qBotswana 33 qJordan 33 qChile 33 qLebanon 28 qBahrain 27 qSouth Africa 27 qGhana 25 qTunisia 25 qMorocco 24 qSaudi Arabia 24 q


C

M022004

A teacher and a doctor each have 45 books. If

4

5 of the teacher’s books and

2

3 of the doctor’s books are novels, how many more novels does the teacher

have than the doctor?

a 2

b 3

c 6

d 30

e 36

Correct Response:

188







TimeforBettytorunrace

Singapore 88 pKorea, Republic of 87 pMalaysia 81 pNetherlands 81 pHungary 80 pChinese Taipei 80 pJapan 78 pRussian Federation 76 pHong Kong, SAR 75 pSlovak Republic 74 pUnited States 74 pSlovenia 73 pEstonia 72 pBelgium (Flemish) 71 pScotland 71 pMoldova, Republic of 69 pSerbia and Montenegro 68 pLatvia 67 pBulgaria 66 pLithuania 65 pRomania 64 OTunisia 63 OAustralia 63 OSweden 63 OItaly 62 OBotswana 61 OLebanon 61 OInternational average 61 OArmenia 60 OMacedonia, Republic of 59 OCyprus 59 OEgypt 58 OIsrael 58 OIndonesia 55 qEngland 54 qNew Zealand 53 qJordan 46 qNorway 46 qPhilippines 45 qMorocco 45 qBahrain 45 qIran, Islamic Republic of 44 qChile 42 qPalestinian Nat’l Auth. 37 qGhana 32 qSouth Africa 29 qSaudi Arabia 19 q


a

M022010

Alice ran a race in 49.86 seconds. Betty ran the same race in 52.30 seconds.How much longer did it take Betty to run the race than Alice?

a 2.44 seconds

b 2.54 seconds

c 3.56 seconds

d 3.76 seconds


Correct Response:

Cognitive Domain

189






Fuelremainingintankatendoftrip

Singapore 56 pChinese Taipei 50 pHong Kong, SAR 43 pKorea, Republic of 43 pJapan 38 pNetherlands 38 pMalaysia 34 pMoldova, Republic of 33 pLithuania 32 pHungary 32 pEstonia 31 pRomania 30 OBelgium (Flemish) 30 pRussian Federation 29 OAustralia 28 OArmenia 27 OLatvia 26 OInternational average 26 OSlovenia 26 OMacedonia, Republic of 25 OUnited States 25 OSlovak Republic 24 ONew Zealand 24 OIndonesia 23 OSweden 23 OJordan 23 OBulgaria 23 OCyprus 22 qSaudi Arabia 22 OIsrael 22 qSerbia and Montenegro 22 qItaly 21 qEgypt 21 qBotswana 20 qChile 20 qGhana 20 qEngland 20 qScotland 19 qMorocco 19 qTunisia 19 qSouth Africa 18 qIran, Islamic Republic of 18 qPalestinian Nat’l Auth. 17 qPhilippines 17 qBahrain 16 qNorway 16 qLebanon 12 q


a

M022127

A car has a fuel tank that holds 45 L of fuel. The car consumes 8.5 L of fuelfor each 100 km driven. A trip of 350 km was started with a full tank of fuel.How much remained in the tank at the end of the trip?

a 15.25 L

b 16.25 L

c 24.75 L

d 29.75 L

Correct Response:

190







JohnandCathytodivideanumberby100

Singapore 58 pBelgium (Flemish) 58 pEstonia 56 pJapan 56 pHong Kong, SAR 56 pKorea, Republic of 52 pRussian Federation 51 pHungary 51 pNetherlands 51 pChinese Taipei 46 pSlovak Republic 45 pLithuania 43 pIsrael 41 pSweden 41 pLatvia 37 ONew Zealand 36 OAustralia 35 OScotland 35 OInternational average 34 OItaly 34 OEngland 34 OCyprus 33 OSlovenia 32 OUnited States 32 OMoldova, Republic of 32 OSerbia and Montenegro 32 ONorway 31 ORomania 29 qArmenia 28 qEgypt 27 qMalaysia 27 qSaudi Arabia 26 qLebanon 26 qMacedonia, Republic of 23 qBahrain 23 qPhilippines 23 qMorocco 23 qChile 23 qIran, Islamic Republic of 22 qGhana 22 qBulgaria 22 qIndonesia 21 qPalestinian Nat’l Auth. 21 qSouth Africa 20 qTunisia 18 qBotswana 16 q


B

M032079

John and Cathy were told to divide a number by 100. By mistake Johnmultiplied the number by 100 and obtained an answer of 450.Cathy correctly divided the number by 100. What was her answer?

a 0.0045

b 0.045

c 0.45

d 4.5


Correct Response:

Cognitive Domain

191





NuMBeR FractionsandDecimals UsingConcepts

Numberofsquaresinshadedfraction

Singapore 88 pHong Kong, SAR 87 pBelgium (Flemish) 84 pKorea, Republic of 82 pNetherlands 80 pJapan 79 pChinese Taipei 78 pSweden 71 pMalaysia 67 pIsrael 67 pHungary 66 pAustralia 66 pScotland 63 pNorway 62 pEngland 62 pUnited States 61 pNew Zealand 60 pSlovenia 59 pEstonia 59 pCyprus 56 pLatvia 56 pRussian Federation 52 OSlovak Republic 52 OMoldova, Republic of 50 OItaly 50 OInternational average 49 OLithuania 47 OBulgaria 46 ORomania 45 OArmenia 42 qSerbia and Montenegro 42 qIran, Islamic Republic of 41 qMacedonia, Republic of 37 qJordan 32 qEgypt 30 qPalestinian Nat’l Auth. 29 qTunisia 26 qBahrain 25 qPhilippines 23 qLebanon 22 qMorocco 22 qChile 21 qIndonesia 21 qSaudi Arabia 19 qSouth Africa 16 qBotswana 16 qGhana 8 q


a

M012001

In the figure, how many MORE small squares need to be shaded so that

45

of

the small squares are shaded?

a 5

b 4

c 3

d 2

e 1



192





• A fraction with numerator smaller than 4 and denominator equal to 9, includes 3/9 = 1/3 OR 1/3.

• A fraction with numerator equal to 4 and denominator greater than 9, includes 4/10 = 2/5 OR 2/5.

• 3/8

• Othercorrectfraction

Incorrect Response

• 5/9

• 2/3

• Any fraction equivalent to 4/9.



Singapore 84 pKorea, Republic of 81 pJapan 81 pHong Kong, SAR 79 pChinese Taipei 77 pIsrael 74 pHungary 72 pArmenia 72 pAustralia 71 pSweden 70 pUnited States 69 pNetherlands 69 pEngland 68 pSlovak Republic 66 pNew Zealand 64 pNorway 64 pSlovenia 64 pEstonia 63 pBelgium (Flemish) 62 pRussian Federation 62 pScotland 60 pCyprus 60 pInternational average 54 ORomania 54 OBulgaria 54 OSerbia and Montenegro 52 OEgypt 52 OLatvia 52 OLithuania 50 OPalestinian Nat’l Auth. 50 qBotswana 49 qItaly 48 qJordan 48 qTunisia 47 qIran, Islamic Republic of 47 qMalaysia 43 qBahrain 41 qMoldova, Republic of 40 qSaudi Arabia 39 qChile 36 qMacedonia, Republic of 35 qSouth Africa 30 qLebanon 28 qIndonesia 26 qPhilippines 25 qMorocco 24 qGhana 21 q

Fraction less than 4/9


M022012

Write a fraction that is less than

4

9.

Answer: ______________________________

193

Student Responses


Fraction less than 4/9 (continued)Item Number: M022012

Correct Response:

Incorrect Response:

Correct Response:

194







Decimalroundedtonearesthundredth

Korea, Republic of 88 pSerbia and Montenegro 74 pRussian Federation 73 pLithuania 72 pHungary 72 pSlovak Republic 71 pBelgium (Flemish) 66 pUnited States 66 pEstonia 62 pMoldova, Republic of 55 pSweden 55 pSingapore 54 pItaly 54 pJapan 54 pLatvia 54 pNetherlands 54 pChinese Taipei 49 OSlovenia 49 OInternational average 47 OAustralia 47 OCyprus 46 OLebanon 45 OMalaysia 45 OPalestinian Nat’l Auth. 44 OIsrael 43 ONew Zealand 41 qEgypt 41 qScotland 41 qJordan 40 qEngland 40 qIndonesia 39 qPhilippines 38 qBulgaria 38 qIran, Islamic Republic of 37 qMorocco 37 qSaudi Arabia 36 qRomania 35 qNorway 33 qBahrain 32 qMacedonia, Republic of 32 qChile 30 qArmenia 29 qGhana 29 qHong Kong, SAR 29 qBotswana 28 qSouth Africa 22 q


D

M022144

Which of the following is 78.2437 rounded to the nearest hundredth?

a 100

b 80

c 78.2

d 78.24

e 78.244


Correct Response:

Cognitive Domain

195






Decimalsorderedgreatesttoleast


D

Singapore 79 pBelgium (Flemish) 74 pHong Kong, SAR 72 pNetherlands 66 pChinese Taipei 63 pEstonia 62 pMalaysia 62 pKorea, Republic of 59 pSweden 59 pLatvia 58 pJapan 53 pAustralia 53 pSlovak Republic 52 pLithuania 49 pRussian Federation 49 pScotland 48 OUnited States 48 pSlovenia 48 OItaly 47 OHungary 47 OBulgaria 47 OEgypt 46 ORomania 46 OMoldova, Republic of 44 OEngland 44 OInternational average 44 OArmenia 42 OLebanon 42 ONew Zealand 42 OCyprus 39 OIsrael 38 qMorocco 38 qChile 35 qNorway 35 qJordan 35 qSerbia and Montenegro 34 qTunisia 33 qMacedonia, Republic of 32 qIndonesia 29 qPalestinian Nat’l Auth. 29 qBahrain 27 qPhilippines 25 qSaudi Arabia 23 qGhana 20 qIran, Islamic Republic of 18 qBotswana 18 qSouth Africa 16 q

M022198

In which list are the numbers ordered from greatest to least?

a 0.233, 0.3, 0.32, 0.332

b 0.3, 0.32, 0.332, 0.233

c 0.32, 0.233, 0.332, 0.3

d 0.332, 0.32, 0.3, 0.233

Correct Response:

196







Thenumberclosestto10

Netherlands 97 pSweden 96 pEstonia 96 pSingapore 95 pLithuania 95 pBelgium (Flemish) 94 pKorea, Republic of 94 pMalaysia 93 pJapan 92 pSerbia and Montenegro 91 pNorway 91 pRussian Federation 91 pLatvia 90 pSlovak Republic 90 pItaly 90 pHong Kong, SAR 89 pScotland 89 pChinese Taipei 89 pCyprus 88 pHungary 88 pAustralia 88 pUnited States 87 pSlovenia 87 pNew Zealand 86 pBulgaria 85 pEngland 82 pMoldova, Republic of 82 pIsrael 81 pRomania 79 OMacedonia, Republic of 78 OInternational average 76 OTunisia 76 OMorocco 75 OIndonesia 74 OIran, Islamic Republic of 69 qChile 67 qLebanon 67 qArmenia 66 qJordan 55 qPalestinian Nat’l Auth. 50 qBahrain 49 qEgypt 48 qPhilippines 42 qBotswana 40 qSaudi Arabia 35 qSouth Africa 30 qGhana 24 q


B

M03

2760

Use the patterns in the previous table to answer the following questions.

A. Pat made a shape with a total of 64 tiles. How many were black and

how many were red?

Answer: ____________ black tiles ____________ red tiles

B. Pat made a shape that used 49 black tiles.

How many red tiles did Pat use in that shape?

Answer: ____________ red tiles

C. Next, Pat made a shape using 44 of the red tiles. How many black tiles

would Pat need to complete the black part of the shape?

Answer: ____________ black tiles


Correct Response:

Cognitive Domain

197





NuMBeR IntegersKnowingFactsandProcedures

Thevalueof1minus5times-2


a

Japan 74 pSingapore 70 pHong Kong, SAR 67 pChinese Taipei 66 pNetherlands 61 pBelgium (Flemish) 55 pKorea, Republic of 54 pSlovak Republic 52 pEstonia 52 pIsrael 52 pRomania 49 pNew Zealand 48 pRussian Federation 46 pBulgaria 46 pAustralia 45 pArmenia 44 pLatvia 42 pHungary 42 pLebanon 42 pMalaysia 39 OBotswana 39 OLithuania 38 OUnited States 38 OItaly 37 OEgypt 37 OSlovenia 36 OInternational average 35 OSerbia and Montenegro 33 OMoldova, Republic of 33 OMacedonia, Republic of 32 OEngland 25 qTunisia 24 qCyprus 23 qPhilippines 21 qJordan 19 qPalestinian Nat’l Auth. 19 qScotland 18 qSouth Africa 17 qBahrain 15 qIndonesia 12 qSaudi Arabia 12 qSweden 10 qChile 10 qIran, Islamic Republic of 10 qMorocco 6 qNorway 5 q

M032612

What is the value of 1 − 5 × (−2)?

a 11

b 8

c −8

d −9

Correct Response:

198






NuMBeR Integers UsingConcepts

Ifnisanegativeinteger

Korea, Republic of 78 pChinese Taipei 74 pRussian Federation 69 pJapan 68 pHong Kong, SAR 67 pSingapore 58 pHungary 53 pEstonia 51 pLatvia 49 pBelgium (Flemish) 48 pUnited States 48 pIsrael 48 pArmenia 47 pSlovak Republic 46 pSerbia and Montenegro 46 pNetherlands 44 OBulgaria 42 ORomania 41 OLebanon 41 OLithuania 40 OMalaysia 40 OInternational average 40 OMoldova, Republic of 39 OSlovenia 38 OEgypt 37 OAustralia 36 OCyprus 34 qItaly 32 qIran, Islamic Republic of 32 qPhilippines 32 qMacedonia, Republic of 32 qNew Zealand 31 qJordan 29 qPalestinian Nat’l Auth. 29 qSweden 28 qScotland 28 qIndonesia 27 qEngland 26 qSouth Africa 26 qNorway 25 qMorocco 25 qSaudi Arabia 25 qBahrain 22 qTunisia 22 qBotswana 22 qChile 18 q


C

M032643

If n is a negative integer, which of these is the largest number?

a 3 + n

b 3 × n

c 3 − n

d 3 ÷ n


Correct Response:

Cognitive Domain

199





NuMBeRRatio,Proportions,

andPercentKnowingFactsandProcedures

Percentdecreaseintraveltime


C

Singapore 70 pNetherlands 62 pHong Kong, SAR 61 pMalaysia 48 pSweden 47 pAustralia 46 pKorea, Republic of 45 pScotland 42 pEngland 42 pHungary 40 pChinese Taipei 40 pNew Zealand 40 pJapan 39 pSlovak Republic 38 pIsrael 38 pSlovenia 38 pBelgium (Flemish) 38 pEstonia 37 pLatvia 37 pUnited States 35 pLithuania 34 OCyprus 34 ONorway 34 ORussian Federation 32 OSerbia and Montenegro 32 OInternational average 31 OMoldova, Republic of 29 OBulgaria 28 ORomania 27 qJordan 22 qSouth Africa 21 qChile 21 qArmenia 20 qItaly 20 qMacedonia, Republic of 19 qBahrain 19 qIndonesia 19 qPalestinian Nat’l Auth. 18 qIran, Islamic Republic of 18 qBotswana 18 qLebanon 17 qEgypt 17 qPhilippines 17 qSaudi Arabia 17 qMorocco 15 qGhana 15 qTunisia 12 q

M022139

When a new highway is built, the average time it takes a bus to travel fromone town to another is reduced from 25 minutes to 20 minutes. What is thepercent decrease in time taken to travel between the two towns?

a 4%

b 5%

c 20%

d 25%

Correct Response:

200







andPercentKnowingFactsandProcedures

Theratiooftheshadedareatotheunshaded

Singapore 87 pChinese Taipei 81 pKorea, Republic of 80 pHong Kong, SAR 74 pMalaysia 72 pJapan 71 pSlovak Republic 56 pAustralia 55 pScotland 54 pLatvia 52 pEngland 52 pHungary 52 pNetherlands 51 pUnited States 50 pLithuania 50 pSlovenia 48 pSerbia and Montenegro 48 pRussian Federation 47 pIndonesia 45 OBulgaria 44 OBelgium (Flemish) 43 OEstonia 42 OInternational average 41 ONew Zealand 39 OIsrael 38 OCyprus 37 ORomania 37 OPhilippines 37 OMoldova, Republic of 37 OItaly 35 qMacedonia, Republic of 35 qSweden 31 qArmenia 28 qPalestinian Nat’l Auth. 27 qIran, Islamic Republic of 26 qEgypt 26 qSaudi Arabia 26 qNorway 23 qJordan 21 qChile 20 qBahrain 19 qBotswana 17 qSouth Africa 16 qMorocco 16 qLebanon 16 qTunisia 14 q


a

M032447

In the figure above, each of the smaller triangles has the same area. Whatis the ratio of the shaded area to the unshaded area?

a 5:3

b 8:5

c 5:8

d 3:5


201





A computer club had 40 members


• 48% with calculations shown.

Partial Response

• 24 girls

• Correctmethodbutcomputationalerror.

• 48% with no calculations shown.

Incorrect Response

• 50%

• Otherincorrect(includingcrossedout/erased,straymarks,illegibleorofftask).



andPercentReasoning

M03

2233

A computer club had 40 members, and 60% of the members were girls.

Later, 10 boys joined the club. What percent of the members now are girls?

Show the calculations that led to your answer.

Answer: _______________

Singapore 64 pKorea, Republic of 44 pChinese Taipei 41 pHong Kong, SAR 29 pHungary 28 pMalaysia 23 pBelgium (Flemish) 21 pSweden 21 pSlovak Republic 19 pEstonia 19 pNetherlands 18 pLithuania 18 pJapan 16 pEngland 16 OScotland 14 OUnited States 14 OAustralia 13 OSlovenia 13 OIsrael 13 ONew Zealand 12 OInternational average 12 OLatvia 9 OSerbia and Montenegro 9 OArmenia 8 ORomania 7 qRussian Federation 6 qItaly 6 qBulgaria 6 qCyprus 4 qNorway 3 qChile 3 qIndonesia 3 qLebanon 3 qPhilippines 2 qSouth Africa 2 qIran, Islamic Republic of 2 qJordan 2 qPalestinian Nat’l Auth. 2 qEgypt 2 qMorocco 1 qBotswana 1 qTunisia 1 qMoldova, Republic of 1 qMacedonia, Republic of 1 qBahrain 0 qGhana 0 q

202

Student Responses


A computer club had 40 members (continued)Item Number: M032233

Correct Response:

Partial Response:

Incorrect Response:


Correct Response:

Cognitive Domain

203






andPercentSolvingRoutineProblems

LapsrunbyCarolandAlicefromratio


D

Singapore 75 pBelgium (Flemish) 69 pJapan 68 pChinese Taipei 66 pNetherlands 66 pSweden 62 pHong Kong, SAR 61 pSlovak Republic 59 pLatvia 55 pLithuania 55 pRussian Federation 54 pIsrael 53 pAustralia 52 ONorway 52 pEstonia 51 pKorea, Republic of 51 pIran, Islamic Republic of 48 OUnited States 48 OGhana 47 OInternational average 47 OSerbia and Montenegro 47 OSouth Africa 47 OCyprus 46 OLebanon 46 ONew Zealand 46 OSlovenia 46 OEngland 45 OScotland 45 OHungary 43 qMalaysia 43 OPalestinian Nat’l Auth. 43 qArmenia 42 qPhilippines 42 qTunisia 42 qJordan 41 qEgypt 40 qMoldova, Republic of 40 qBotswana 39 qRomania 37 qBulgaria 36 qMacedonia, Republic of 36 qItaly 35 qSaudi Arabia 35 qIndonesia 34 qMorocco 33 qChile 32 qBahrain 29 q

M012004

Alice can run 4 laps around a track in the same time that Carol can run3 laps. When Carol has run 12 laps, how many laps has Alice run?

a 9

b 11

c 13

d 16

Correct Response:

204






C


A shop increased its prices by 20%



Singapore 87 pHong Kong, SAR 86 pNetherlands 79 pChinese Taipei 74 pKorea, Republic of 74 pSlovak Republic 73 pHungary 72 pBelgium (Flemish) 72 pSweden 70 pEstonia 65 pJapan 63 pScotland 62 pMalaysia 62 pRussian Federation 61 pLithuania 58 pIsrael 58 pUnited States 57 pAustralia 55 pSlovenia 55 pRomania 54 OLatvia 54 OEngland 52 OSerbia and Montenegro 51 OInternational average 49 ONew Zealand 49 OItaly 49 ONorway 48 OBulgaria 47 OArmenia 45 qCyprus 45 qMoldova, Republic of 44 qChile 41 qTunisia 40 qMacedonia, Republic of 39 qIndonesia 34 qBotswana 32 qPhilippines 31 qLebanon 31 qMorocco 30 qEgypt 29 qBahrain 27 qPalestinian Nat’l Auth. 26 qJordan 25 qIran, Islamic Republic of 24 qSaudi Arabia 22 qSouth Africa 19 qGhana 16 q

M03

222 8

A shop increased its prices by 20%. What is the new price of an item which

previously sold for 800 zeds?

a 640 zeds

b 900 zeds

c 960 zeds

d 1,000 zeds


Correct Response:

Cognitive Domain

205







A machine uses 2.4 liters of gasoline


B

Singapore 89 pNetherlands 78 pHong Kong, SAR 77 pKorea, Republic of 75 pBelgium (Flemish) 74 pChinese Taipei 71 pMalaysia 68 pJapan 66 pEstonia 65 pLithuania 64 pSlovak Republic 63 pHungary 63 pSweden 60 pLebanon 55 pUnited States 55 pRussian Federation 54 pIsrael 53 pEngland 50 OScotland 50 OLatvia 50 OSlovenia 50 OAustralia 49 ORomania 48 OInternational average 47 OSerbia and Montenegro 45 OItaly 44 ONorway 44 OMoldova, Republic of 44 OCyprus 44 OBulgaria 43 ONew Zealand 42 OArmenia 41 qJordan 40 qMacedonia, Republic of 38 qEgypt 34 qIran, Islamic Republic of 31 qIndonesia 31 qPalestinian Nat’l Auth. 31 qTunisia 30 qChile 29 qPhilippines 27 qMorocco 27 qBotswana 23 qBahrain 23 qSaudi Arabia 22 qSouth Africa 17 qGhana 17 q

M032533

A machine uses 2.4 liters of gasoline for every 30 hours of operation.How many liters of gasoline will the machine use in 100 hours?

a 7.2

b 8.0

c 8.4

d 9.6

Correct Response:

206






D


Three brothers receive 45,000 zeds



Singapore 85 pHong Kong, SAR 73 pKorea, Republic of 71 pChinese Taipei 68 pSweden 67 pHungary 67 pEstonia 67 pNetherlands 66 pSlovak Republic 65 pBelgium (Flemish) 63 pJapan 60 pMalaysia 57 pEngland 55 pAustralia 55 pRomania 53 pIsrael 52 pRussian Federation 52 pNew Zealand 50 OLithuania 49 OItaly 48 OScotland 48 OSerbia and Montenegro 48 OUnited States 45 ONorway 45 OSlovenia 45 OInternational average 45 OCyprus 42 OChile 41 OMoldova, Republic of 40 OLatvia 37 qBulgaria 37 qMacedonia, Republic of 36 qIran, Islamic Republic of 35 qSouth Africa 32 qGhana 32 qPhilippines 29 qJordan 29 qArmenia 28 qPalestinian Nat’l Auth. 28 qIndonesia 27 qLebanon 26 qTunisia 24 qMorocco 22 qBotswana 21 qBahrain 21 qEgypt 20 qSaudi Arabia 18 q

M03

2727

Three brothers, Bob, Dan, and Mark, receive a gift of 45,000 zeds from their

father. The money is shared between the brothers in proportion to the

number of children each one has. Bob has 2 children, Dan has 3 children,

and Mark has 4 children.

How many zeds does Mark get?

a 5,000

b 10,000

c 15,000

d 20,000


Correct Response:

Cognitive Domain

207






andPercentUsingConcepts

3/25ofthepeopleintheaudiencewerechildren


a

Singapore 96 pHong Kong, SAR 90 pBelgium (Flemish) 87 pMalaysia 84 pNetherlands 79 pChinese Taipei 77 pKorea, Republic of 76 pEngland 71 pUnited States 70 pBotswana 70 pNew Zealand 67 pAustralia 67 pLatvia 65 pCyprus 64 pScotland 63 pIsrael 63 pSlovenia 61 pSweden 61 pJapan 60 pLithuania 59 OEstonia 57 OSlovak Republic 56 OHungary 55 OInternational average 55 ORussian Federation 52 OIndonesia 51 OBulgaria 50 ONorway 50 qRomania 49 qItaly 47 qSerbia and Montenegro 45 qEgypt 44 qArmenia 42 qMacedonia, Republic of 42 qPhilippines 42 qMoldova, Republic of 42 qGhana 41 qIran, Islamic Republic of 39 qPalestinian Nat’l Auth. 39 qJordan 39 qChile 39 qBahrain 36 qLebanon 34 qSouth Africa 33 qTunisia 30 qMorocco 29 qSaudi Arabia 25 q

M032570

At a play,

325

of the people in the audience were children.

What percent of the audience was this?

a 12%

b 3%

c 0.3%

d 0.12%

Correct Response:

208






D


The closest to 11 squared plus 9 squared

NuMBeR WholeNumbersKnowingFactsandProcedures

Hong Kong, SAR 88 pLatvia 88 pHungary 85 pRussian Federation 84 pUnited States 82 pSlovak Republic 82 pEstonia 81 pSlovenia 81 pLebanon 80 pBelgium (Flemish) 80 pKorea, Republic of 80 pMalaysia 80 pChinese Taipei 80 pRomania 80 pSingapore 80 pSerbia and Montenegro 79 pItaly 79 pLithuania 77 pCyprus 74 pAustralia 73 pNetherlands 69 pMacedonia, Republic of 68 pBulgaria 67 pIndonesia 65 OEngland 64 OArmenia 64 OIsrael 63 OInternational average 61 OScotland 59 ONew Zealand 56 OTunisia 53 qJapan 50 qJordan 49 qPalestinian Nat’l Auth. 48 qMorocco 47 qPhilippines 45 qEgypt 44 qIran, Islamic Republic of 44 qChile 41 qBahrain 37 qSweden 36 qGhana 28 qBotswana 26 qSaudi Arabia 22 qSouth Africa 20 qMoldova, Republic of 18 qNorway 13 q

M032609

Which of these is closest to 11 92 2+ ?

a 20 + 20

b 20 + 80

c 120 + 20

d 120 + 80


Correct Response:

Cognitive Domain

209





NuMBeR WholeNumbersKnowingFactsandProcedures

Which equals 370 times 998 plus 370 times 2


a

Singapore 70 pHong Kong, SAR 69 pChinese Taipei 68 pHungary 61 pNetherlands 59 pEstonia 57 pLebanon 53 pIsrael 52 pEgypt 52 pBelgium (Flemish) 50 pRussian Federation 49 pAustralia 49 pUnited States 48 pLithuania 47 pMalaysia 47 pNew Zealand 46 pKorea, Republic of 43 ORomania 43 OBotswana 41 OScotland 40 OInternational average 39 OArmenia 38 OLatvia 38 OSlovak Republic 38 OJapan 37 OBulgaria 37 OMoldova, Republic of 37 OSlovenia 36 OItaly 35 OMacedonia, Republic of 34 OEngland 34 OPalestinian Nat’l Auth. 33 qTunisia 31 qPhilippines 30 qBahrain 28 qCyprus 24 qSweden 23 qSerbia and Montenegro 23 qNorway 22 qSaudi Arabia 22 qMorocco 21 qSouth Africa 21 qChile 18 qIndonesia 18 qJordan 17 qIran, Islamic Republic of 14 q

M03

2690

Which of these is equal to 370 × 998 + 370 × 2?

a 370 × 1,000

b 372 × 998

c 740 × 998

d 370 × 998 × 2

Correct Response:

210






C


Arrangements of 4-digit whole numbers

NuMBeR WholeNumbers SolvingRoutineProblems

Korea, Republic of 92 pSingapore 88 pChinese Taipei 87 pHong Kong, SAR 86 pJapan 85 pMalaysia 79 pLatvia 77 pSlovenia 75 pBelgium (Flemish) 75 pSweden 72 pBulgaria 71 pItaly 71 pRussian Federation 70 pRomania 70 pUnited States 70 pSerbia and Montenegro 70 pSlovak Republic 69 pEstonia 68 pAustralia 68 pMoldova, Republic of 67 pScotland 66 pIsrael 66 pHungary 65 pLithuania 65 pMacedonia, Republic of 64 pNetherlands 61 OEngland 60 OInternational average 59 OArmenia 57 ONew Zealand 56 OIran, Islamic Republic of 56 OCyprus 55 qEgypt 53 qTunisia 52 qJordan 50 qChile 50 qNorway 45 qPalestinian Nat’l Auth. 41 qLebanon 41 qBahrain 41 qIndonesia 40 qPhilippines 35 qBotswana 32 qMorocco 30 qGhana 22 qSouth Africa 21 qSaudi Arabia 21 q

M01

2028

The four digits above are to be arranged from largest to smallest to form a

four-digit number. The same four digits are then to be arranged from

smallest to largest to form another four-digit number. What is the

difference between the two resulting four-digit numbers?

a 3,726

b 4,726

c 8,082

d 8,182

e 8,192

9 1 4 5


Correct Response:

Cognitive Domain

211






Approximatenumberofmagazinessold


D

Korea, Republic of 74 pSingapore 74 pChinese Taipei 71 pNetherlands 69 pBelgium (Flemish) 69 pHong Kong, SAR 68 pAustralia 67 pHungary 66 pJapan 66 pSweden 63 pNew Zealand 62 pEstonia 62 pEngland 61 pSlovenia 60 pSlovak Republic 59 pUnited States 58 pMalaysia 58 pRussian Federation 58 pScotland 58 pNorway 58 pLithuania 57 pLatvia 57 pBulgaria 56 pIsrael 54 pItaly 53 pSerbia and Montenegro 50 OInternational average 49 ORomania 47 OCyprus 47 OMoldova, Republic of 44 OMacedonia, Republic of 42 qArmenia 39 qIndonesia 38 qTunisia 37 qPhilippines 36 qLebanon 36 qChile 36 qMorocco 33 qBahrain 31 qIran, Islamic Republic of 29 qJordan 28 qEgypt 23 qSaudi Arabia 23 qPalestinian Nat’l Auth. 21 qSouth Africa 20 qBotswana 19 qGhana 18 q

M02

2194

About 7,000 copies of a magazine are sold each week. Approximately how

many magazines are sold each year?

a 8,400

b 35,000

c 84,000

d 350,000

e 3,500,000



212





• 15

Incorrect Response

• 14 or 14.88



Theteachersplantosend6newslettersperyear


Armenia 60 pNetherlands 57 pSingapore 57 pHong Kong, SAR 53 pBelgium (Flemish) 46 pJapan 44 pChinese Taipei 44 pKorea, Republic of 43 pUnited States 36 pHungary 35 pSlovak Republic 33 pScotland 32 pEstonia 32 pSweden 30 pNew Zealand 29 pRussian Federation 29 pLithuania 29 pAustralia 28 pEngland 27 OSlovenia 24 OLatvia 22 OInternational average 21 OItaly 21 OBulgaria 20 OIsrael 20 ONorway 20 OCyprus 18 qRomania 14 qSerbia and Montenegro 13 qMacedonia, Republic of 11 qMoldova, Republic of 10 qMalaysia 8 qChile 8 qTunisia 8 qJordan 4 qLebanon 4 qPhilippines 3 qIndonesia 3 qSouth Africa 3 qIran, Islamic Republic of 3 qBahrain 3 qEgypt 3 qPalestinian Nat’l Auth. 2 qMorocco 1 qBotswana 0 qGhana 0 qSaudi Arabia 0 q

M032652

The teachers at Parkway School plan to send 6 newsletters per year toeach of the 620 families with children at the school. The newsletters eachneed 2 sheets of paper. The paper is sold in packs of 500 sheets.

What is the least number of packs of paper needed to print the schoolnewsletter for the year?

Answer: _______________

213

Student Responses


Theteachersplantosend6newslettersperyear(continued)Item Number: M032652

Correct Response:

Incorrect Response:



214





• 400 or equivalent.

Incorrect Response

• Incorrect(includingcrossedout/erased,straymarks,illegible,orofftask).


Singapore 91 pNetherlands 88 pHong Kong, SAR 87 pBelgium (Flemish) 86 pKorea, Republic of 85 pEstonia 85 pChinese Taipei 83 pSweden 82 pMalaysia 81 pUnited States 78 pLatvia 78 pRussian Federation 78 pNew Zealand 77 pAustralia 76 pEngland 75 pHungary 72 pIsrael 72 pLithuania 72 pScotland 71 pItaly 71 pSlovenia 67 pMoldova, Republic of 66 pCyprus 66 pRomania 65 pBulgaria 63 OSlovak Republic 63 OJapan 61 OChile 61 OSerbia and Montenegro 61 OInternational average 61 ONorway 60 OMacedonia, Republic of 56 qIndonesia 49 qTunisia 48 qArmenia 47 qIran, Islamic Republic of 44 qLebanon 43 qJordan 43 qBahrain 41 qMorocco 39 qEgypt 36 qPhilippines 35 qPalestinian Nat’l Auth. 33 qBotswana 28 qSaudi Arabia 23 qSouth Africa 18 qGhana 11 q

Garden with 14 rows of 20 plants each

M032671

A garden has 14 rows. Each row has 20 plants. The gardener thenplants 6 more rows with 20 plants in each row.

How many plants are now there altogether?

Answer: _______________


215

Student Responses


Correct Response:

Incorrect Response:

Garden with 14 rows of 20 plants each (continued)Item Number: M032671

Item Index 1999Content Domain Page

Fractions and Number Sense

B08 Caloriesinportionoffoodfromratio 3

B09 Figureshowingequivalentfractions 4

B10 Smallestdecimalfraction 5

D09 Smallestsimplefraction 6

D12 EstimateofpointPonanumberline 7

F07 Averagespeedfromdistanceandtime 8

F09 Numberbetweentwodecimalfractions 9

F12 Fractionofacircleshaded 10

H08 Figureshowingfractionofshadedsquare 11

H09 Sumclosestto691+208 12

J12 Divisionoffractions 13

J14 Divisionofdecimals 14

J18 Distancebetweentownsfrommap 15

L09 Lengthofbuildingcomparedtocar 16

L10 Twohundredsixandnine-tenths 17

L18 Subtractionwiththreefractions 18

N11 Numberofcarsfromroundedvalue 19

N14 Listofequivalentfractions 20

N16 Numberofmarblesinbag 21

N17 Amountofpaintleft 22

N19 Shadein3/8ofsquaresingrid 23

P13 Estimateoftotalcarsinparkinglot 24

P14 Estimateofdistancefromexplosion 25

P15 Fractionofcherriesinbasket 26

P17 Writedecimalasfraction 27

R07 Subtractionofdecimalsto0.001 28

R08 Averageweightofsaltcrystals 29

R13 Subtractionof4-digitwholenumbers 30

R14 Howmuchmoneyleftifspent5/8 31

R15 Moneyfromtotalmagazinesales 32

T02A Number/fractionof2typesofboxes 33

T02B Number/fractionof2typesofboxes 34

T04 Heightofstackofpaperfromthickness 35

V01 Twopossibilitiesforactualheight 36

V03 Ratioofnitratetototalfertilizer 37

Algebra

B12 Equationrepresentingrelationship 38

D08 Valueofxfromequivalentratios 39

D10 Equationtodeterminecostofcards 40

F11 Find1/3ofnumberfromrelationship 41

H10 Equationfromx/ytable 42

H12 Symboliclinearequationofmagazines 43

J17 Missingnumberintable 44

L12 Distancetraveledbyelevator 45

Content Domain Page

Algebra (continued)

L14 Correctequationbasedonx/ytable 46

L15 Valuesinproportionalitytable 47

L17 Valueofxinmathematicalequation 48

N13 Valueofexpressionsubstitutingx=3 49

P09 Expressionequivalenttonxnxn 50

P11 Equivalentexpression:k+k+k+k+k 51

R10 Expressionwhena, b, carereal 52

R12 Operationsonnegativenumber 53

T01 Totalclubmembers:boysandgirls 54

V04A Sequenceoffigureswithcircles 55

V04B Sequenceoffigureswithcircles 56

V04C Sequenceoffigureswithcircles 57

Measurement

D11 Unitstomeasuremassofegg 58

F10 Measurementaccuracyofruler 59

J10 Areaofpatharoundgarden 60

L13 Mostpacestowalktoendofhallway 61

N15 Angleclosestto45degrees 62

P08 Ratioofwidth/perimeterinrectangle 63

P12 Lengthofstringpulledstraight 64

T03 Areaofrectangleinsideparallelogram 65

Geometry

B11 Cubefromfolded2-dimensionalnet 66

D07 Anglesinsymmetricpolygon 67

J11 NOTtrueforallrectangles 68

J15 Twosimilartriangles 69

J16 Pointongraphfromcoordinates 70

L16 Measureofangleinquadrilateral 71

N12 Positionofpointonnumberline 72

P10 Lengthofsidefromsimilartriangle 73

R11 Righttrianglestocoverrectangle 74

Data Representation, Analysis and Probability

B07 Graphshowinggreatestincrease 75

F08 Likelyresultoffifthcointoss 76

H07 Barcharthistogramoftraveltime 77

H11 Defectivebulbsfromrandomsample 78

J13 Interpretationofpictographofhouses 79

L11 Graphofhumidityinroom 80

N18 Probabilityofdrawingchip 81

P16 Day/timeintableatshowntemperature 82

R09 Timeforpendulumtoswing20times 83

V02 Cheapermagazinesubscription 84

Content Domain Page

Algebra

M012042 Valueof-3xgivenvalueofx 85

M022185 Subtractfractionsinvolvingx 86

M032036 Whichequals2xminus3 plus7xplus5y 87

M032557 Thevalueofa+2times(bplusc) 88

M022002 Threeconsecutiveevennumbers 90

M022251 Totalnumberofbooksthreeboyshave 91

M032044 Carlapaidxzedsfor3cartonsofjuice 92

M012040 Findnfromproportionalityequation 93

M022196 TrueexpressionforvaluesofL,K,M 94

M022253 Solveequationforx 95

M032728 Ifxplus3y equals11and2xplus3yequals13 97

M032208 Ifxminusyequals5andx/2equals3 98

M032210 Ifa/bequals70 99

M032545 7orangesand4lemonscost43zeds 100

M012002 Objectsbalancedonscale 102

M032046 Ifyequals3xplus2 103

M012017 Numberofmatchstickscontinuingpattern 104

M022008 Numbersinsequenceincreasingby4 105

M022261A Sequenceoffigureswithtriangles:filltable 107

M022261B Sequenceoffigureswithtriangles:7thfigure 109

M022261C Sequenceoffigureswithtriangles:50thfigure 111

M032744 Geometrytiling:identifycellwithletter 114

M012029 Setsoforderedpairsofnumbers 117

M012025 Intersectionpointofdistance/timegraphs 118

Data

M012037 Testscorefrequencytable 119

M022189 Howmanypencilssoldfrombargraph 120

M032762 Phoneplans:leastexpensiveplanforBetty 121

M022135 Graphofcoolingwater 123

M032763 Phoneplans:costofplansforFrank 124

M032764 Phoneplans:minutestalkbyDarlene 126

M012006 Comparisonoftwoaveragescores 128

M012014 Piegraphofcropdistribution 129

M022252 Mostlikelysectoronspinner 130

M032271 Inaschooltherewere1200students 131

M022146 Numberofstudentsfromprobability 132

Content Domain Page

Geometry

M032403 DrawalinetodividetriangleABC 133

M012015 Propertyofcongruenttrapezoids 135

M012005 Falsestatementofcongruenttriangles 136

M032261 Identifysimilartriangles 137

M022142 Sumofanglesequalto180degrees 138

M022202 Measureofangleinadjacentangles 139

M012039 Sumofanglesfromintersectinglines 141

M022016 Pointonalinedefinedbytwopoints 142

M032588 Whichpointcouldhavecoordinates(2,-4) 143

M032489 Whichcouldbefoldedtomakea3-Dfigure 144

M022154 Centerpointofrotationofrectangle 145

M032745 Geometrytiling:produceapatternusingletters 146

M032743 Geometrytiling:makesasymmetricalpattern 150

M012026 Angleinoverlappingcongruenttriangles 153

M032693 Theanglebyaregularhexagon 154

M032689 ThesizeofanglePRQ 156

Measurement

M022005 250mlbottlesfilledby400liters 157

M022188 Whichisleastamountoftime 158

M032699 Theunitusedforasoccerfield 159

M032732 Measureoftheareaofatriangle 160

M012003 Actuallengthofboxfromroundedmeasure 161

M012038 Lengthofpipefrommeterscale 162

M022021 Areaofpavedwalkwayaroundpool 163

M032647 Orangesarepackedinboxes 164

M012030 Lengthofrectanglefromwidth/perimeter 165

M022148 Timewhenfinishhomework 166

M022227A 5squares:areaofonesquare 168

M022227B 5squares:lengthofoneside 170

M022227C 5squares:perimeterwholefigure 172

M032649A Carrally:averagespeed 174

M032649B Carrally:averagespeedforonesection 176

M012013 Volumesofstacksofblocks 178

M032678 TheareaoftherectangleABCD 179

Continued

Item Index 2003

y

Content Domain Page

Number

M012016 Pairofnumbersbracketing2.25 180

M022156 Scoopsofflourneededtofillbag 181

M022199 Addition/multiplicationwithfractions 183

M022191 Numberofmen/womenatmeeting 184

M012027 Fractionofhourbetweentwotimepoints 185

M012041 Fractionbirthdaysinfirsthalfofyear 186

M022004 4/5ofbooksmorethan2/3 187

M022010 TimeforBettytorunrace 188

M022127 Fuelremainingintankatendoftrip 189

M032079 JohnandCathytodivideanumberby100 190

M012001 Numberofsquaresinshadedfraction 191

M022012 Fractionlessthan4/9 192

M022144 Decimalroundedtonearesthundredth 194

M022198 Decimalsorderedgreatesttoleast 195

M032670 Thenumberclosestto10 196

M032612 Thevalueof1minus5times-2 197

M032643 Ifnisanegativeinteger 198

M022139 Percentdecreaseintraveltime 199

M032447 Theratiooftheshadedareatotheunshaded 200

M032233 Acomputerclubhad40members 201

M012004 LapsrunbyCarolandAlicefromratio 203

M032228 Ashopincreaseditspricesby20% 204

M032533 Amachineuses2.4litersofgasoline 205

M032727 Threebrothersreceive45,000zeds 206

M032570 3/25ofthepeopleintheaudiencewerechildren 207

M032609 Theclosestto11squaredplus9squared 208

M032690 Whichequals370times998plus370times2 209

M012028 Arrangementsof4-digitwholenumbers 210

M022194 Approximatenumberofmagazinessold 211

M032652 Theteachersplantosend6newslettersperyear 212

M032671 Gardenwith14rowsof20plantseach 214

Item Index 2003

Documents

Knowing Facts Fractions and Decimals and Procedures Pair ...NuMBeR Fractions and Decimals Knowing Facts and Procedures Addition/multiplication with fractions Chinese Taipei 82 p Korea,