timss 2011 grade 4 released mathematics items

4

RELEASED MATHEMATICS ITEMS

This book contains the released Trends in International Mathematics and Science Study (TIMSS) 2011 grade 4 mathematics assessment items. This is not a complete set of all TIMSS 2011 assessment items because some items are kept confidential so that they may be used in subsequent 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 measuring students’ understanding in various content and cognitive domains. A teacher may use these items to create an assessment according to the needs of the class after reviewing the items and selecting items of interest.

For Feedback on Student Understanding. Student responses can be scored according to the scoring information provided in the book. Items that coincide with concepts taught in class allow the teacher to gain feedback on the students’ understanding of assessed concepts. For example, a teacher might decide to examine the incorrect or partially correct responses of the class. The teacher might use the items to identify particular difficulties or misconceptions experienced by individual students, which can serve as the basis for some remedial teaching or focused practice.

To Benchmark Student Performance. The teacher might also compare the percent of students in the class who responded correctly to an item with the percent of students who responded correctly 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 from TIMSS 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 the public domain, please print an acknowledgement of the source, including the year and name of the assessment you are using. If you publish any part of the released items from TIMSS 2011, please use the following acknowledgement:

SOURCE: TIMSS 2011 Assessment. Copyright © 2013 International Association for the Evaluation of Educational Achievement (IEA). Publisher: TIMSS & PIRLS International Study Center, Lynch School of Education, Boston College, Chestnut Hill, MA and International Association for the Evaluation of Educational Achievement (IEA), IEA Secretariat, Amsterdam, the Netherlands.

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USER’S GUIDEGrade 4

This book contains TIMSS 2011 released items for grade 4. Each item appears on a single page, on which is provided information about the item’s classification and about international student performance on the item. The items appear in the content domain order, as shown in the index on the next page.

Information about item classification

Take a look at the first item on page 1. Across the top are three boxes which identify the item’s content domain (the subject matter in mathematics that the item assesses), its main topic (the specific topic assessed within that subject matter), and its cognitive domain (the cognitive or thinking process assessed). For this item, the content domain is number, the main topic is whole numbers, and the cognitive domain is applying.

Below the row of boxes and above a boxed-in area of the page is the item label. For this item, it is How many pages needed altogether. Below the boxed-in area is the item number, which is more commonly used to identify each item than the item label. Within the boxed-in area is the item as it appeared in student test booklets.

Correct answers are shown beneath each item. The correct answer for multiple-choice items is simply a letter code. For example, in the item M031043 on page 5, the letter code C is the correct answer. The correct answers for write-in or open-ended items are explained in a scoring guide. For example, the How many pages needed altogether (page 1) provides an example of a scoring guide, indicating the general nature of correct and

incorrect responses. In some cases, partial credit may be awarded and these items will provide guidelines for fully correct, partially correct, and incorrect responses. Sample student responses are provided for some of the constructed-response items for each scoring category.

Information about international student performance

In the table along the right-hand side of the page are the percent correct statistics for the item. These consist of statistics on the percentage of students in each education system who could answer the question correctly. The lists of education systems are ordered in terms of this percentage. The international average is included as well.

To the right of some of the percent correct statistics are special symbols that indicate when an education system scored significantly higher or significantly lower than the international average. Thus, on the item How many pages needed altogether as an example, an estimated 57 percent of U.S. students could correctly answer this item, a percentage that was measurably higher than the international average, after taking into account the standard of error associated with the percent correct statistic for the United States and for the international average.

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ITEM INDEXGrade 4

Content Domain Page

NumberM031009 How many pages needed altogether.......1M031016 What is the prize winning number .............3M031043 A train from Redville to Bedford ..................5M031079B Pattern of circles/figure 5 ...........................6M031079C Pattern of circles/figure 10 .........................7M031128 5631 plus 286 ..............................................8M031183 Recipe for 3 people ..................................10M031185 Distance between towns using map .......12M031187 Kim gave Pete 3 more pencils .................13M031210 Select a fraction larger than 1/2 .............14M031218 600 books to be packed into boxes ........15M031251 Steve’s rule to get number in box ............16M031252 If the patter 3,6,9,12 continued ...............17M031313 Total number of people on a ship ...........18M031316 4 times box equals 28 ...............................20M031317 3 + 8 = box plus 6 ......................................22M031346A Trading Cards_Cartoon cards .................23M031346B Trading Cards_Sports cards .....................24M031346C Trading Cards_Max number of cards ......25M031379 Trading Cards_Trading sports cards ........27M031380 Trading Card_Trading cartoon cards ......28M041003 Smallest 3 digit number ............................29M041010 Place value of 8 ........................................30M041011 Number 100 more than 5432 ...................31M041041 Number closest to 9 multiply by 22 ..........32M041064 Shade 1/2 of the larger triangle ..............33M041098 How many cans must Sean buy ..............35M041104 Number between 5 and 6........................36M041107 Number sentence for a situation .............38M041115A Draw figure 5 .............................................39M041115B Number of squares for figure 16 .............41M041122 Numbers which are factor of 12 ..............43M041299 Fraction of the cake eaten .......................45M041320 Equivalent fractions ..................................47M051001 Soccer tournament ..................................48M051007 Number of hours to Brandon on bike ......49M051091 Find the inequivalent fraction ..................50M051203 Multiply 23 and 19 ....................................51M051305 How far did Duncan travel .......................52M051601 Number of matches for figure 4 ...............53

Content Domain Page

Geometric Shapes and MeasuresM031004 Length of string pulled straight ................54M031071 Position of shape after a 1/2 turn ............55M031083 Pieces of cardboard to make shape ......56M031088 Jamie is playing a board game ..............57M031093 Which dotted line is of symmetry .............58M031109 The angles ordered by size ......................59M031159 Rotate the shape 1/4 clockwise ..............60M031297 Shaded area in square centimeters .......61M031325 Angle between 90 and 180 degrees .......63M041143 Identify shapes in the picture ..................65M041148 Statement about 3-D figures ....................68M041155 How far does Ruth walk ............................70M041158 Number of boxes in the stack ..................71M041160A Position of the shop ..................................72M041160B Mark Lucy’s house ....................................74M041265 Relating net with its 3-D figure ..................75M041284 Identify the shapes ...................................76M041327 Draw the line of symmetry .......................78M041328 Draw reflection of the triangle ..................80M041329 Which one is a right angle ......................82M051015 Complete Jay’s shape ..............................83M051064A Complete the table ..................................85M051064B Put an X where Troy lives ...........................86M051123 Lines of symmetry complex figure ...........87

Data DisplayM031133 Favorite colors of Darin’s friends...............88M031155 Teacher’s pens on the graph ...................90M031294 How much the apples weigh in grams ...91M041175 Type of cookie bakery sells most .............92M041184 Comparing pie chart with bar chart .......93M041199 Representing data on the bar graph ......94M041335 Class with fewest choose blue ................95M051109 Vanilla as favorite ice cream ....................96M051117 More students in the Pine School ............97

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Copyright © 2013 International Association for the Evaluation of Educational Achievement (IEA). 1

Percent higher than International average

TIMSS 2011 4th-Grade Mathematics Concepts and Mathematics Items

Content Domain

NUMBER

Main Topic

Whole Numbers

Cognitive Domain

Applying

Item label: How many pages needed altogether

Georgia wants to send letters to 12 of her friends. Half of the letters will need 1 page each and the other half will need 2 pages each. How many pages will beneeded altogether?

Answer: _______________

Item Number: M031009

SCORINGCorrect Response• 18

Incorrect Response• 24• 36• Other incorrect (including crossed out, erased, stray marks, illegible, or off task)

Overall Percent Correct

Education systemPercent correct

Korea, Rep. of 76Japan 68Sweden 64Portugal 61Chinese Taipei-CHN 60Finland 58England-GBR 55Northern Ireland-GBR 54Australia 53Ireland 52Russian Federation 52Singapore 49United States 47Czech Republic 47New Zealand 47Belgium (Flemish)-BEL 46Netherlands 45Azerbaijan 41Germany 40Denmark 39Norway 38Romania 37Lithuania 36Georgia 36Malta 35Serbia 35Austria 35International average 34Italy 34Kazakhstan 33Poland 32Chile 31Spain 29Hong Kong-CHN 29Armenia 26Slovenia 25Turkey 20United Arab Emirates 17Croatia 17Slovak Republic 16Saudi Arabia 14Bahrain 12Hungary 11Qatar 11Iran, Islamic Rep. of 8Oman 8Morocco 8Tunisia 6Thailand 6Kuwait 3Yemen 3

Benchmarking education system

Percentcorrect

North Carolina-USA 51Ontario-CAN 49Quebec-CAN 48Alberta-CAN 48Florida-USA 36Dubai-UAE 22Abu Dhabi-UAE 14

Percent lower than International average



Item label: How many pages needed altogether (continued)M031009

Student ResponsesCorrect Response:

Answer: _______________

Incorrect Response:

Answer: _______________



Percent higher than International average Percent lower than International average

Content Domain

NUMBER

Main Topic

Whole Numbers

Cognitive Domain

Reasoning

Item label: What is the prize winning number

Three thousand tickets for a basketball game are numbered 1 to 3,000. People with ticket numbers ending with 112 receive a prize. Write down all the prize-winning numbers.

Prize-winning numbers: ____________________________________________


SCORINGCorrect Response• 112, 1112, 2112

Incorrect Response• 112, 1112, 2112 with additional incorrect• One or two correct no incorrect• Other incorrect (including crossed out, erased, stray marks, illegible, or off task)



Korea, Rep. of 59Belgium (Flemish)-BEL 47Hong Kong-CHN 47Russian Federation 46Japan 45Hungary 42Netherlands 42Singapore 40England-GBR 39Northern Ireland-GBR 38Slovak Republic 38Germany 36Finland 36Serbia 36Portugal 35Lithuania 34Denmark 34Czech Republic 32Sweden 32Croatia 32Spain 32United States 31Kazakhstan 30Australia 29Ireland 28Italy 28Romania 28Austria 27International average 26Chinese Taipei-CHN 24Slovenia 22New Zealand 22Azerbaijan 22Armenia 22Poland 21Norway 20Georgia 20Chile 18Malta 18Turkey 16United Arab Emirates 10Thailand 9Qatar 7Bahrain 6Saudi Arabia 5Tunisia 3Iran, Islamic Rep. of 3Oman 2Morocco 2Kuwait 1Yemen #

Rounds to zero.


Percentcorrect

Quebec-CAN 47North Carolina-USA 33Alberta-CAN 32Florida-USA 32Ontario-CAN 25Dubai-UAE 19Abu Dhabi-UAE 8

# Rounds to zero



Item label: What is the prize winning number (continued)M031016



Incorrect Response:





Content Domain

NUMBER

Main Topic

Whole Numbers

Cognitive Domain

Applying

Item label: A train from Redville to Bedford

A train left Redville at 8:45 a.m. It arrived in Bedford 2 hours and 18 minutes later. What time did it arrive in Bedford?

A. 11:15 a.m.

B. 11:13 a.m.

C. 11:03 a.m.

D. 10:53 a.m.


Correct Response: C



Chinese Taipei-CHN 85Korea, Rep. of 82Singapore 82Hong Kong-CHN 76Netherlands 73Northern Ireland-GBR 73Japan 69Czech Republic 69Lithuania 67Poland 67Germany 65Russian Federation 65Finland 65Belgium (Flemish)-BEL 63England-GBR 63Sweden 62Serbia 60Denmark 60Slovak Republic 58Hungary 57United States 57Norway 55Ireland 54Slovenia 54Azerbaijan 52Austria 52International average 52Australia 51Croatia 49New Zealand 49Romania 48Portugal 47Kazakhstan 47Turkey 46Italy 45Armenia 43Malta 41Thailand 41Chile 40Georgia 37Spain 34Tunisia 33Iran, Islamic Rep. of 33United Arab Emirates 32Qatar 30Yemen 29Saudi Arabia 26Bahrain 25Morocco 24Kuwait 23Oman 21


Percentcorrect

North Carolina-USA 66Florida-USA 54Quebec-CAN 54Ontario-CAN 53Alberta-CAN 51Dubai-UAE 42Abu Dhabi-UAE 30





Content Domain

NUMBER

Main Topic

Patterns and Relationships

Cognitive Domain

Applying

Item label: Pattern of circles/figure 5

A sequence of four fi gures is shown above.

A. Complete the table below for Figure 4.

Figure Number of Circles

1 1

2 3

3 5

4

B. If there were a Figure 5, how many circles would it have?

Answer: _______________

Figure 1 Figure 2 Figure 3 Figure 4

Item Number: M031079B

SCORINGCorrect ResponseNote: Part A not scored• 9

Incorrect Response• 7 • Other incorrect (including crossed out, erased, stray marks, illegible, or off task)



Korea, Rep. of 92Chinese Taipei-CHN 92Japan 92Hong Kong-CHN 92Singapore 90Finland 85Belgium (Flemish)-BEL 85Netherlands 84Germany 84Portugal 84Northern Ireland-GBR 83Lithuania 82Serbia 82Denmark 81Austria 81Czech Republic 80Italy 80England-GBR 80Russian Federation 80Slovenia 79Croatia 78Ireland 78Sweden 78Australia 77Slovak Republic 76United States 75Hungary 74Spain 73Norway 72Malta 71Poland 70Romania 70New Zealand 69International average 68Kazakhstan 65Chile 64Thailand 60Turkey 59United Arab Emirates 54Armenia 53Bahrain 50Iran, Islamic Rep. of 47Azerbaijan 46Georgia 45Qatar 45Saudi Arabia 42Oman 36Tunisia 33Kuwait 22Morocco 21Yemen 12


Percentcorrect

Quebec-CAN 90Alberta-CAN 84Ontario-CAN 83Florida-USA 82North Carolina-USA 80Dubai-UAE 66Abu Dhabi-UAE 47





Content Domain

NUMBER

Main Topic


Cognitive Domain

Reasoning

Item label: Pattern of circles/figure 10

A sequence of four fi gures is shown above.

C. If the fi gures were continued, how many circles would there be in Figure 10? (Do not draw the fi gures.)

Answer: _______________

Figure 1 Figure 2 Figure 3 Figure 4

Item Number: M031079C


Incorrect Response• Incorrect (including crossed out, erased, stray marks, illegible, or off task)



Korea, Rep. of 74Singapore 70Hong Kong-CHN 67Chinese Taipei-CHN 65Japan 59Serbia 52Russian Federation 52Portugal 51Croatia 50Denmark 49Northern Ireland-GBR 49Italy 48Czech Republic 48Slovenia 47Malta 47United States 47Slovak Republic 47Kazakhstan 46Lithuania 44Hungary 43England-GBR 42Ireland 41Spain 41Australia 41Austria 41Turkey 41Romania 40International average 39Finland 39Sweden 38Germany 37Belgium (Flemish)-BEL 36Thailand 35Poland 34Chile 33United Arab Emirates 33New Zealand 33Norway 30Azerbaijan 30Qatar 28Armenia 27Bahrain 27Netherlands 26Georgia 21Iran, Islamic Rep. of 20Saudi Arabia 20Oman 20Tunisia 11Kuwait 10Morocco 10Yemen 4


Percentcorrect

Quebec-CAN 58Florida-USA 55North Carolina-USA 53Ontario-CAN 50Alberta-CAN 43Dubai-UAE 40Abu Dhabi-UAE 29





Content Domain

NUMBER

Main Topic

Whole Numbers

Cognitive Domain

Knowing

Item label: 5,631 plus 286

5,631 + 286 =

Answer: _______________


SCORINGCorrect Response• 5,917




Chinese Taipei-CHN 93Singapore 93Portugal 90Korea, Rep. of 90Japan 90Russian Federation 89Hong Kong-CHN 89Kazakhstan 87Serbia 85Croatia 85United States 84Italy 84Spain 83Lithuania 82Thailand 82Armenia 82Slovak Republic 81Azerbaijan 80Malta 80Romania 80Ireland 78Turkey 77Austria 77Denmark 77Hungary 77Iran, Islamic Rep. of 75Northern Ireland-GBR 75Georgia 74Tunisia 73Netherlands 73Chile 72Czech Republic 72International average 72Germany 71Bahrain 70England-GBR 67Belgium (Flemish)-BEL 66Slovenia 64Norway 58Finland 58United Arab Emirates 58Australia 57Poland 56Qatar 56Sweden 56Oman 55Saudi Arabia 48Morocco 48Kuwait 34New Zealand 32Yemen 26


Percentcorrect

North Carolina-USA 89Florida-USA 86Quebec-CAN 86Dubai-UAE 72Alberta-CAN 67Ontario-CAN 61Abu Dhabi-UAE 52




Item label: 5,631 plus 286 (continued)M031128


5,631+ 286 =

Answer:

Incorrect Response:

5,631+ 286 =

Answer:




Content Domain

NUMBER

Main Topic

Whole Numbers

Cognitive Domain

Applying

Item label: Recipe for 3 people

Ingredients

Eggs 4

Flour 8 cups

Milk

Th e above ingredients are used to make a recipe for 6 people. Sam wants to make this recipe for only 3 people.

Complete the table below to show what Sam needs to make the recipe for 3 people. Th e number of eggs he needs is shown.

Ingredients

Eggs 2

Flour ___ cups

Milk ___ cup

cup


SCORINGCorrect Response• 4 cups of flour and 1/4 cup of milk

Partially Correct Response• Flour correct, milk incorrect• Flour correct, milk omitted• Milk correct, flour incorrect or omitted




Northern Ireland-GBR 63England-GBR 55Ireland 54Singapore 50Germany 46Netherlands 41New Zealand 39Belgium (Flemish)-BEL 38Denmark 37Australia 37Hong Kong-CHN 34United States 33Malta 31Finland 31Chinese Taipei-CHN 31Portugal 28Korea, Rep. of 28Serbia 27Lithuania 24International average 23Japan 23Austria 23Kazakhstan 22Spain 22Romania 22Qatar 21Bahrain 20Azerbaijan 20Russian Federation 20United Arab Emirates 20Hungary 18Saudi Arabia 18Slovenia 17Poland 16Norway 15Sweden 15Armenia 15Chile 15Italy 14Georgia 13Oman 11Czech Republic 10Slovak Republic 10Kuwait 8Turkey 8Thailand 5Tunisia 5Morocco 4Croatia 3Yemen 3Iran, Islamic Rep. of 3


Percentcorrect

North Carolina-USA 32Florida-USA 31Dubai-UAE 29Quebec-CAN 22Alberta-CAN 22Ontario-CAN 22Abu Dhabi-UAE 15




Item label: Recipe for 3 people (continued)M031183


Ingredients

Eggs 2

Flour ___ cups

Milk ___ cup

Partially Correct Response:

Ingredients

Eggs 2

Flour ___ cups

Milk ___ cup

Incorrect Response:

Ingredients

Eggs 2

Flour ___ cups

Milk ___ cup




Content Domain

NUMBER

Main Topic

Whole Numbers

Cognitive Domain

Reasoning

Item label: Distance between towns using map

The scale on a map indicates that 1 centimeter on the map represents 4 kilometers on the land. Th e distance between two towns on the map is 8 centimeters. How many kilometers apart are the two towns?

A. 2

B. 8

C. 16

D. 32


Correct Response: D



Korea, Rep. of 84Chinese Taipei-CHN 84Russian Federation 80Lithuania 75Japan 74Finland 71Serbia 71Singapore 69Netherlands 69Kazakhstan 69Czech Republic 67Azerbaijan 66Croatia 64Denmark 63Slovenia 63Northern Ireland-GBR 62Slovak Republic 61Germany 60Hungary 59United States 59Portugal 57Romania 57Sweden 57Austria 57Poland 57Norway 56Iran, Islamic Rep. of 55England-GBR 54International average 54Italy 54Belgium (Flemish)-BEL 53Ireland 50Turkey 48Georgia 47Australia 46Spain 46Armenia 45New Zealand 42Bahrain 40Chile 39Thailand 39Saudi Arabia 39United Arab Emirates 37Qatar 32Malta 32Morocco 31Oman 31Tunisia 31Yemen 29Kuwait 23Hong Kong-CHN —

Not available.


Percentcorrect


— Not available




Content Domain

NUMBER

Main Topic

Number Sentences with Whole Numbers

Cognitive Domain

Applying

Item label: Kim gave Pete 3 more pencils

E stands for the number of pencils Pete had. Kim gave Pete 3 more pencils. How many pencils does Pete have now?

A. 3 ÷ E

B. E + 3

C. E − 3

D. 3 × E


Correct Response: B



Russian Federation 91Netherlands 90Portugal 88Belgium (Flemish)-BEL 85Czech Republic 84Italy 84Singapore 83United States 83Serbia 83Poland 82Austria 82Germany 82Hungary 82Kazakhstan 80Finland 79Northern Ireland-GBR 79Slovenia 79Croatia 79Lithuania 79Australia 79Azerbaijan 79Slovak Republic 78Romania 78Ireland 77Hong Kong-CHN 77Turkey 75Chile 75England-GBR 75Korea, Rep. of 74New Zealand 74Denmark 74Spain 74Georgia 73Sweden 73Japan 73International average 73Chinese Taipei-CHN 72Norway 70Armenia 66Iran, Islamic Rep. of 63Bahrain 63Qatar 62Thailand 62Saudi Arabia 60Malta 58United Arab Emirates 56Oman 51Kuwait 47Tunisia 42Morocco 37Yemen 33


Percentcorrect






Content Domain

NUMBER

Main Topic

Fractions and Decimals

Cognitive Domain

Knowing

Item label: Select a fraction larger than 1/2

Which of these fractions is larger than ?

A.

B.

C.

D.


Correct Response: A



Hong Kong-CHN 74Finland 69Chinese Taipei-CHN 67Singapore 67Northern Ireland-GBR 63United States 62Ireland 62Russian Federation 62Korea, Rep. of 60Japan 60Belgium (Flemish)-BEL 58Lithuania 56Kazakhstan 55Australia 54New Zealand 53Armenia 52Serbia 50England-GBR 50Georgia 49Netherlands 49Denmark 48Norway 48Hungary 48International average 46Azerbaijan 45Turkey 44Saudi Arabia 43Romania 43Poland 43Slovenia 43Malta 42Italy 42Slovak Republic 41United Arab Emirates 41Oman 39Sweden 38Qatar 37Czech Republic 36Chile 36Thailand 36Austria 35Bahrain 34Iran, Islamic Rep. of 33Germany 33Spain 33Portugal 32Kuwait 30Morocco 23Yemen 21Tunisia 20Croatia —

Not applicable.


Percentcorrect

North Carolina-USA 71Florida-USA 56Alberta-CAN 52Quebec-CAN 49Ontario-CAN 48Abu Dhabi-UAE 41Dubai-UAE 39

— Not applicable




Content Domain

NUMBER

Main Topic

Whole Numbers

Cognitive Domain

Applying

Item label: 600 books to be packed into boxes

Six hundred books have to be packed into boxes that hold 15 books each. Which of the following could be used to fi nd the number of boxes needed?

A. add 15 to 600

B. subtract 15 from 600

C. multiply 600 by 15

D. divide 600 by 15


Correct Response: D



Chinese Taipei-CHN 90Korea, Rep. of 89Hong Kong-CHN 84Singapore 80Russian Federation 77Netherlands 76Lithuania 75Japan 74Portugal 70Croatia 69Kazakhstan 69Finland 67Hungary 66Austria 64Northern Ireland-GBR 64Italy 63United States 63Belgium (Flemish)-BEL 62Turkey 61Poland 61Serbia 61Slovak Republic 60Slovenia 58Azerbaijan 57Spain 57England-GBR 57Czech Republic 56Armenia 56International average 55Ireland 54Germany 54Romania 52Georgia 51Australia 51Denmark 45Malta 44Thailand 43Iran, Islamic Rep. of 42Norway 42Chile 39Saudi Arabia 37New Zealand 37Qatar 35United Arab Emirates 35Bahrain 31Sweden 31Tunisia 31Oman 30Yemen 27Kuwait 25Morocco 22


Percentcorrect

North Carolina-USA 69Florida-USA 63Quebec-CAN 51Dubai-UAE 47Alberta-CAN 43Ontario-CAN 42Abu Dhabi-UAE 27





Content Domain

NUMBER

Main Topic


Cognitive Domain

Applying

Item label: Steve’s rule to get number in box

Steve used a rule to get the number in the from the number in the .What was the rule?

A. Multiply by 1 then add 5.

B. Multiply by 2 then add 2.

C. Multiply by 3 then subtract 1.

D. Multiply by 4 then subtract 4.

3

4

5

8

10

12

Steve’s Rule

Steve’s Rule

Steve’s Rule


Correct Response: B



Korea, Rep. of 86Chinese Taipei-CHN 79Hong Kong-CHN 76Singapore 73Japan 71United States 63Russian Federation 63Hungary 62Northern Ireland-GBR 62Turkey 55Slovak Republic 55Portugal 54Italy 53England-GBR 52Belgium (Flemish)-BEL 50Czech Republic 50Lithuania 50Georgia 48Saudi Arabia 48Kazakhstan 48Romania 47International average 47Serbia 47Ireland 45Australia 45Spain 45Croatia 44Qatar 44Finland 43Austria 43Poland 43Bahrain 43United Arab Emirates 42Denmark 42Netherlands 40Slovenia 40New Zealand 39Azerbaijan 39Iran, Islamic Rep. of 39Malta 37Germany 36Chile 36Armenia 33Sweden 33Oman 33Norway 31Tunisia 30Kuwait 30Thailand 30Yemen 28Morocco 26


Percentcorrect

North Carolina-USA 70Florida-USA 66Dubai-UAE 48Alberta-CAN 43Quebec-CAN 42Ontario-CAN 42Abu Dhabi-UAE 40





Content Domain

NUMBER

Main Topic


Cognitive Domain

Applying

Item label: If the pattern 3,6,9,12 continued

If the pattern 3, 6, 9, 12 was continued, which of these numbers would be one of the numbers in the pattern?

A. 26

B. 27

C. 28

D. 29


Correct Response: B



Singapore 93Korea, Rep. of 89Northern Ireland-GBR 84United States 83Czech Republic 82Ireland 81Chinese Taipei-CHN 81Denmark 80Hong Kong-CHN 80England-GBR 80Finland 80Japan 79Slovenia 79Germany 78Portugal 78Norway 77Italy 75Australia 74Slovak Republic 72Malta 71Lithuania 70Turkey 68New Zealand 68Sweden 68Serbia 68Belgium (Flemish)-BEL 67Austria 66Croatia 65Russian Federation 64International average 62Spain 62Netherlands 62Hungary 60Azerbaijan 57Kazakhstan 56Chile 55Poland 53Romania 52Georgia 52United Arab Emirates 48Qatar 46Bahrain 42Armenia 41Iran, Islamic Rep. of 34Saudi Arabia 34Oman 34Kuwait 29Thailand 28Tunisia 27Morocco 24Yemen 20


Percentcorrect

North Carolina-USA 90Florida-USA 89Alberta-CAN 76Ontario-CAN 74Quebec-CAN 73Dubai-UAE 59Abu Dhabi-UAE 44





Content Domain

NUMBER

Main Topic

Whole Numbers

Cognitive Domain

Applying

Item label: Total number of people on a ship

There are 218 passengers and 191 crew members on a ship. How many people are on the ship altogether?

Answer: _______________



Incorrect Response• 309• Other incorrect (including crossed out, erased, stray marks, illegible, or off task)



Singapore 93Korea, Rep. of 93Japan 91Chinese Taipei-CHN 89Portugal 89Croatia 89Serbia 87Hong Kong-CHN 86Russian Federation 86United States 84Hungary 84Slovak Republic 83Italy 83Spain 83Lithuania 82Ireland 82Slovenia 81Belgium (Flemish)-BEL 81Turkey 81Netherlands 81Malta 81Kazakhstan 80Northern Ireland-GBR 80Czech Republic 79Austria 79Germany 79England-GBR 78Romania 77Chile 77Denmark 77Thailand 76Sweden 75Georgia 75Poland 75International average 73Iran, Islamic Rep. of 70Armenia 70Australia 69Azerbaijan 68Finland 68Norway 67Bahrain 64United Arab Emirates 54New Zealand 52Tunisia 48Qatar 48Oman 41Saudi Arabia 39Morocco 35Kuwait 24Yemen 15


Percentcorrect

North Carolina-USA 88Quebec-CAN 88Florida-USA 87Alberta-CAN 76Ontario-CAN 74Dubai-UAE 70Abu Dhabi-UAE 47




Item label: Total number of people on a ship(continued)M031313


Answer:

Incorrect Response:

Answer:




Content Domain

NUMBER

Main Topic


Cognitive Domain

Knowing

Item label: 4 times box equals 28

4 × = 28

What number goes in the box to make this number sentence true?

Answer: _______________






Korea, Rep. of 99Chinese Taipei-CHN 98Japan 98Hong Kong-CHN 97Croatia 97Singapore 96Russian Federation 95Belgium (Flemish)-BEL 94Austria 94Kazakhstan 94Czech Republic 94Serbia 94Lithuania 93Slovak Republic 93Netherlands 93Germany 92Spain 92Slovenia 92Italy 92Hungary 91Azerbaijan 90Northern Ireland-GBR 88Portugal 87Romania 87United States 87Iran, Islamic Rep. of 87Ireland 86Finland 85Georgia 85Poland 85Armenia 85International average 83England-GBR 82Denmark 80Malta 79Thailand 79Norway 77Australia 77Turkey 76Sweden 75United Arab Emirates 74Tunisia 71New Zealand 70Bahrain 68Chile 66Qatar 64Saudi Arabia 60Oman 55Morocco 51Kuwait 47Yemen 39


Percentcorrect

Florida-USA 92North Carolina-USA 92Quebec-CAN 83Dubai-UAE 80Ontario-CAN 77Alberta-CAN 74Abu Dhabi-UAE 70




Item label: 4 times box equals 28(continued)M031316


Answer: _______________

Incorrect Response:

Answer: _______________




Content Domain

NUMBER

Main Topic


Cognitive Domain

Knowing

Item label: 3 + 8 = box plus 6

3 + 8 = + 6

What number goes in the box to make this number sentence true?

A. 17

B. 11

C. 7

D. 5


Correct Response: D



Hong Kong-CHN 88Singapore 85Russian Federation 80Kazakhstan 79Korea, Rep. of 73Japan 68Chinese Taipei-CHN 67Lithuania 66Azerbaijan 65Serbia 63Romania 56Northern Ireland-GBR 55Ireland 54Sweden 51Hungary 50Belgium (Flemish)-BEL 49Armenia 49United States 47Georgia 45Slovak Republic 44Portugal 40International average 39Finland 37Slovenia 36Norway 35Croatia 34Spain 34Australia 33Netherlands 32Iran, Islamic Rep. of 31England-GBR 29Poland 28Turkey 27Denmark 27Germany 24Tunisia 23Malta 21Thailand 21Saudi Arabia 21United Arab Emirates 20Czech Republic 20Austria 18Italy 18Qatar 17New Zealand 17Oman 16Morocco 16Bahrain 15Yemen 12Kuwait 11Chile 11


Percentcorrect

North Carolina-USA 63Florida-USA 45Quebec-CAN 26Ontario-CAN 26Dubai-UAE 21Abu Dhabi-UAE 20Alberta-CAN 18





Content Domain

NUMBER

Main Topic

Whole Numbers

Cognitive Domain

Applying

Item label: Trading Cards_Cartoon cards

Th e town fair had a booth where people could trade cards.

1 animal card is worth 2 cartoon cards.

2 animal cards are worth 3 sports cards.

Some children went to the booth to trade cards.

Trading Animal Cards

A. Becky had 5 animal cards to trade for cartoon cards. How many cartoon cards would she get?

Answer: _____________ cartoon cards

Item Number: M031346A





Hong Kong-CHN 88Singapore 86Chinese Taipei-CHN 84Russian Federation 82Denmark 82Lithuania 82Finland 81Japan 79Portugal 78Sweden 77Netherlands 77Germany 77Korea, Rep. of 75Czech Republic 75Austria 74England-GBR 74Ireland 73Northern Ireland-GBR 72Slovak Republic 72Thailand 72United States 72Poland 71Belgium (Flemish)-BEL 69Slovenia 68Serbia 68Australia 66Croatia 66Norway 66Hungary 65Italy 65Spain 63Romania 63New Zealand 62International average 62Georgia 59Malta 56Kazakhstan 56Chile 53Azerbaijan 53Armenia 50Turkey 42United Arab Emirates 41Iran, Islamic Rep. of 39Bahrain 38Qatar 32Tunisia 31Saudi Arabia 29Oman 24Morocco 24Kuwait 14Yemen 11


Percentcorrect

Quebec-CAN 77North Carolina-USA 72Ontario-CAN 72Alberta-CAN 68Florida-USA 64Dubai-UAE 52Abu Dhabi-UAE 35





Content Domain

NUMBER

Main Topic

Whole Numbers

Cognitive Domain

Reasoning

Item label: Trading Cards_Sports cards






B. Jim had 8 animal cards to trade for sports cards. How many sports cards would he get?

Answer: _____________ sports cards






Singapore 71Hong Kong-CHN 66Chinese Taipei-CHN 61Japan 55Korea, Rep. of 54Russian Federation 51Netherlands 48Denmark 46Lithuania 45Germany 44Finland 43Belgium (Flemish)-BEL 41Portugal 40Sweden 40Northern Ireland-GBR 40England-GBR 38Thailand 36Ireland 35Serbia 35Azerbaijan 34United States 34Czech Republic 33Slovak Republic 33Kazakhstan 32Australia 32Romania 31International average 31Slovenia 31Austria 30Poland 27New Zealand 27Italy 27Chile 27Norway 27Hungary 26Turkey 22Croatia 21Georgia 21Spain 20Armenia 19Malta 18Bahrain 18United Arab Emirates 15Qatar 14Tunisia 12Morocco 11Saudi Arabia 10Iran, Islamic Rep. of 10Oman 8Kuwait 4Yemen 2


Percentcorrect

Quebec-CAN 42North Carolina-USA 39Ontario-CAN 33Florida-USA 33Alberta-CAN 31Dubai-UAE 23Abu Dhabi-UAE 10





Content Domain

NUMBER

Main Topic

Whole Numbers

Cognitive Domain

Reasoning

Item label: Trading Cards_Max number of cards






C. Katrina had 6 animal cards. She wanted to trade them for as many cards as possible.

How many cartoon cards would she get? _______________

How many sports cards would she get? ________________

Should she trade for cartoon cards or trade for sport cards?

Answer: ______________________________

Item Number: M031346C

SCORINGCorrect Response• Numbers of cartoon cards (12) AND sports cards (9) correct AND choice (cartoon cards) correct

Partially Correct Response• Number of cartoon cards only correct• Number of sports cards only correct• Numbers of cartoon cards and sports cards correct but choice not shown or incorrect

Incorrect Response• Choice of cartoon cards or sports cards with no numbers shown• Other incorrect (including crossed out, erased, stray marks, illegible, or off task)



Hong Kong-CHN 66Chinese Taipei-CHN 61Singapore 55Korea, Rep. of 52Japan 51Finland 41Netherlands 40Denmark 38Germany 35Sweden 34Russian Federation 33Belgium (Flemish)-BEL 30England-GBR 30Northern Ireland-GBR 30Czech Republic 27Serbia 26United States 25Lithuania 24Poland 24Ireland 24International average 24Azerbaijan 23Australia 23Austria 22Slovenia 22Norway 22Slovak Republic 21Hungary 21Thailand 21Portugal 21Romania 20Kazakhstan 20New Zealand 20Italy 18Chile 18Croatia 16Georgia 16Turkey 15Armenia 14Spain 13United Arab Emirates 11Malta 11Bahrain 10Qatar 9Iran, Islamic Rep. of 5Saudi Arabia 5Tunisia 5Oman 3Kuwait 3Morocco 3Yemen 1


Percentcorrect





Item label: Trading Cards_Max number of cards (continued)M031346C

Student Responses

Correct Response:





Answer: _________________________________






Answer: _________________________________

Incorrect Response:





Answer: _________________________________




Content Domain

NUMBER

Main Topic

Whole Numbers

Cognitive Domain

Reasoning

Item label: Trading Cards_Trading sports cards

Trading Cards (Continued)

Trading Sports Cards

Steve had 15 sports cards to trade for animal cards. How many animal cards would he get?

Answer: _____________ animal cards






Singapore 61Hong Kong-CHN 50Chinese Taipei-CHN 44Netherlands 41Korea, Rep. of 41Japan 40Denmark 39Russian Federation 36Finland 34Lithuania 34Portugal 33England-GBR 32Belgium (Flemish)-BEL 32Serbia 29Germany 29Northern Ireland-GBR 28Ireland 27Sweden 27Azerbaijan 27Slovak Republic 26Thailand 25Australia 25International average 25Norway 24Czech Republic 24Poland 23Romania 23United States 23Italy 22New Zealand 22Kazakhstan 22Georgia 21Armenia 21Slovenia 21Hungary 20Turkey 18Austria 18Chile 17Bahrain 17Qatar 16United Arab Emirates 15Malta 15Spain 14Saudi Arabia 12Croatia 12Iran, Islamic Rep. of 12Morocco 9Kuwait 8Tunisia 8Oman 8Yemen 3


Percentcorrect

Quebec-CAN 40North Carolina-USA 33Ontario-CAN 28Alberta-CAN 26Florida-USA 23Dubai-UAE 19Abu Dhabi-UAE 13





Content Domain

NUMBER

Main Topic

Whole Numbers

Cognitive Domain

Reasoning

Item label: Trading Card_Trading cartoon cards

Trading Cartoon Cards

Brad had 8 cartoon cards to trade for sports cards. How many sports cards would he get?

Answer: _____________ sports cards



Incorrect Response• 4• 12• 24• Other incorrect (including crossed out, erased, stray marks, illegible, or off task)



Singapore 48Hong Kong-CHN 42Chinese Taipei-CHN 40Korea, Rep. of 36Russian Federation 32Japan 32Finland 31Denmark 30Lithuania 27Netherlands 25Northern Ireland-GBR 23Portugal 23Czech Republic 21Germany 20Belgium (Flemish)-BEL 20Norway 20Romania 20Poland 19Sweden 19England-GBR 19Slovak Republic 19Austria 19United States 19Serbia 19Kazakhstan 18International average 18Slovenia 18Australia 17Hungary 17Ireland 17Croatia 15Thailand 13Azerbaijan 13New Zealand 13Italy 12Georgia 11Turkey 11Chile 10Bahrain 9Armenia 9United Arab Emirates 9Spain 9Qatar 8Saudi Arabia 7Malta 6Morocco 6Iran, Islamic Rep. of 6Tunisia 6Kuwait 5Oman 4Yemen 2


Percentcorrect






Content Domain

NUMBER

Main Topic

Whole Numbers

Cognitive Domain

Knowing

Item label: Smallest 3 digit number

Anna has these cards with numbers on them.

1 8 6 5 2

What is the smallest three-digit number she can show with the cards?

She may use each card only once.

Answer: _____________






Korea, Rep. of 88Hong Kong-CHN 84Serbia 73Japan 73England-GBR 72Russian Federation 72Northern Ireland-GBR 71Singapore 71Hungary 71Poland 70Chinese Taipei-CHN 67Croatia 66Romania 66Portugal 62Slovak Republic 60United States 60Kazakhstan 59Finland 58Ireland 57Austria 56Australia 56Turkey 55Czech Republic 55Germany 54Georgia 52New Zealand 51Lithuania 50International average 48Azerbaijan 46Slovenia 45Iran, Islamic Rep. of 45Malta 45Denmark 42Armenia 42Belgium (Flemish)-BEL 41Sweden 40Norway 38Italy 34United Arab Emirates 33Chile 32Tunisia 27Spain 24Netherlands 24Bahrain 23Qatar 21Oman 21Saudi Arabia 18Morocco 18Thailand 14Kuwait 5Yemen 3


Percentcorrect

North Carolina-USA 67Alberta-CAN 64Ontario-CAN 60Quebec-CAN 56Florida-USA 55Dubai-UAE 48Abu Dhabi-UAE 25





Content Domain

NUMBER

Main Topic

Whole Numbers

Cognitive Domain

Knowing

Item label: Place value of 8

In which number does the 8 have the value of 800?

A. 1,468

B. 2,587

C. 3,809

D. 8,634


Correct Response: C



Korea, Rep. of 96Singapore 96Chinese Taipei-CHN 90Russian Federation 90United States 87Austria 87Sweden 87Netherlands 87Belgium (Flemish)-BEL 87Northern Ireland-GBR 84Japan 84Chile 82Portugal 82Thailand 81Slovak Republic 80Malta 79Romania 78Poland 77Georgia 76Australia 75Ireland 75Hong Kong-CHN 75Spain 74Italy 74Kazakhstan 72International average 72Denmark 71Lithuania 70Germany 70Azerbaijan 70Finland 69Serbia 69New Zealand 69England-GBR 68Czech Republic 68Bahrain 67Croatia 66Hungary 66Saudi Arabia 64Oman 63Turkey 60Armenia 59United Arab Emirates 58Norway 58Tunisia 56Iran, Islamic Rep. of 55Qatar 55Slovenia 54Yemen 44Kuwait 39Morocco 35


Percentcorrect

North Carolina-USA 94Florida-USA 91Quebec-CAN 86Alberta-CAN 70Dubai-UAE 69Ontario-CAN 66Abu Dhabi-UAE 53





Content Domain

NUMBER

Main Topic

Whole Numbers

Cognitive Domain

Knowing

Item label: Number 100 more than 5432

Which number is 100 more than 5,432?

A. 6,432

B. 5,532

C. 5,442

D. 5,433


Correct Response: B



Korea, Rep. of 97Singapore 95Chinese Taipei-CHN 94Japan 88Netherlands 85Portugal 84Belgium (Flemish)-BEL 84Hong Kong-CHN 83Russian Federation 82United States 80Czech Republic 80Kazakhstan 78Northern Ireland-GBR 78Slovak Republic 78Sweden 77Lithuania 76Serbia 76Austria 75Croatia 74Finland 73England-GBR 73Hungary 73Australia 73Germany 73Slovenia 72Romania 67International average 66New Zealand 66Turkey 65Azerbaijan 64Armenia 64Malta 64Poland 63Italy 62Thailand 62Norway 62Georgia 59Ireland 59Denmark 57Spain 57Chile 50Tunisia 47United Arab Emirates 47Qatar 46Oman 45Saudi Arabia 45Iran, Islamic Rep. of 42Bahrain 40Kuwait 35Morocco 27Yemen 27


Percentcorrect

North Carolina-USA 86Florida-USA 81Quebec-CAN 73Alberta-CAN 68Ontario-CAN 64Dubai-UAE 57Abu Dhabi-UAE 43





Content Domain

NUMBER

Main Topic

Whole Numbers

Cognitive Domain

Knowing

Item label: Number closest to 9 multiply by 22

Which gives an answer closest to 9 × 22?

A. 5 × 20

B. 5 × 25

C. 10 × 20

D. 10 × 25


Correct Response: C



Korea, Rep. of 87Netherlands 83Hong Kong-CHN 82Chinese Taipei-CHN 81Singapore 81Japan 79Belgium (Flemish)-BEL 78Germany 72Serbia 71England-GBR 70United States 68Norway 67Northern Ireland-GBR 67Sweden 67Denmark 65Australia 64Hungary 64Turkey 64Finland 63Portugal 63Ireland 62Russian Federation 61Romania 61Georgia 61New Zealand 60International average 60Slovak Republic 59Azerbaijan 59Kazakhstan 58Czech Republic 58Slovenia 57Lithuania 57Bahrain 56Italy 56Armenia 55Austria 55Croatia 55Poland 55Chile 52Malta 51United Arab Emirates 50Saudi Arabia 49Qatar 48Spain 48Thailand 46Oman 39Iran, Islamic Rep. of 39Kuwait 38Morocco 37Tunisia 34Yemen 31


Percentcorrect

Florida-USA 76Alberta-CAN 69North Carolina-USA 68Quebec-CAN 65Ontario-CAN 63Dubai-UAE 54Abu Dhabi-UAE 47





Content Domain

NUMBER

Main Topic


Cognitive Domain

Applying

Item label: Shade 1/2 of the larger triangle

Shade of the large triangle.


SCORINGCorrect Response• Any 2 small triangles shaded• Half of the triangle shaded in some other way

Incorrect Response• 1 triangle shaded• Other incorrect (including crossed out, erased, stray marks, illegible, or off task)



Northern Ireland-GBR 91Hong Kong-CHN 90Singapore 87Ireland 86Netherlands 85Belgium (Flemish)-BEL 83England-GBR 83Slovenia 81Lithuania 81Finland 80New Zealand 79Chinese Taipei-CHN 78United States 75Australia 74Denmark 72Hungary 72Malta 70Kazakhstan 69Japan 68Korea, Rep. of 67Serbia 64Russian Federation 61Portugal 60Slovak Republic 60International average 59Romania 59Austria 58Germany 56Czech Republic 54Norway 53Italy 53Armenia 53Bahrain 51Sweden 50Azerbaijan 50Georgia 49Qatar 47United Arab Emirates 45Poland 44Spain 43Thailand 43Turkey 43Saudi Arabia 41Oman 41Chile 39Iran, Islamic Rep. of 38Kuwait 33Yemen 26Morocco 25Croatia 23Tunisia 14


Percentcorrect

Quebec-CAN 85North Carolina-USA 81Florida-USA 77Ontario-CAN 69Alberta-CAN 58Dubai-UAE 52Abu Dhabi-UAE 41




Item label: Shade 1/2 of the larger triangle (continued)M041064


Shade of the large triangle.12

Incorrect Response:

Shade of the large triangle.12




Content Domain

NUMBER

Main Topic

Whole Numbers

Cognitive Domain

Applying

Item label: How many cans must Sean buy

Paint comes in 5 liter cans. Sean needs 37 liters of paint. How many cans must he buy?

A. 5

B. 6

C. 7

D. 8


Correct Response: D



Korea, Rep. of 83Chinese Taipei-CHN 77Hong Kong-CHN 76Netherlands 74Japan 69Northern Ireland-GBR 69Singapore 66England-GBR 65Denmark 63Sweden 59Finland 59Belgium (Flemish)-BEL 58Australia 56Germany 56Ireland 55United States 53Lithuania 49Czech Republic 48Portugal 47Malta 46International average 44Romania 44Serbia 43New Zealand 42Slovak Republic 41Hungary 40Chile 40Russian Federation 40Slovenia 40Poland 39Austria 37Norway 37Spain 36Italy 35Armenia 34Bahrain 34United Arab Emirates 33Georgia 33Azerbaijan 32Saudi Arabia 31Croatia 29Kazakhstan 29Qatar 28Oman 26Kuwait 26Tunisia 25Iran, Islamic Rep. of 25Thailand 25Morocco 23Turkey 21Yemen 19


Percentcorrect

North Carolina-USA 61Ontario-CAN 54Alberta-CAN 54Quebec-CAN 52Dubai-UAE 42Florida-USA 41Abu Dhabi-UAE 29





Content Domain

NUMBER

Main Topic


Cognitive Domain

Knowing

Item label: Number between 5 and 6

Write a number that is larger than 5 and is smaller than 6.

Answer _____________


SCORINGCorrect Response• Any decimal number between 5 and 6• Any number between 5 and 6 given as a fraction, including answers in words




Belgium (Flemish)-BEL 90Netherlands 88England-GBR 83Denmark 81Northern Ireland-GBR 80Singapore 79Finland 76Hong Kong-CHN 74Korea, Rep. of 70Portugal 69Germany 67Japan 66Ireland 66Sweden 65Australia 63Chinese Taipei-CHN 59United States 57Norway 55New Zealand 55Hungary 52Lithuania 51Malta 49Russian Federation 49Kazakhstan 49International average 48Czech Republic 47Italy 46Armenia 45Slovak Republic 45Serbia 44Croatia 44Romania 40Slovenia 40Spain 39Austria 37Azerbaijan 34Georgia 34United Arab Emirates 33Qatar 30Turkey 29Bahrain 28Tunisia 28Poland 27Iran, Islamic Rep. of 27Chile 27Saudi Arabia 22Thailand 21Morocco 19Oman 16Kuwait 13Yemen 5


Percentcorrect

Florida-USA 59North Carolina-USA 56Quebec-CAN 54Ontario-CAN 51Alberta-CAN 50Dubai-UAE 41Abu Dhabi-UAE 32




Item label: Number between 5 and 6 (continued)M041104


Answer _____________

Incorrect Response:

Answer _____________




Content Domain

NUMBER

Main Topic


Cognitive Domain

Applying

Item label: Number sentence for a situation

Joan had 12 apples. She ate some apples, and there were 9 left . Which number sentence describes what happened?

A. 12 + 9 =

B. 9 = 12 +

C. 12 – = 9

D. 9 – = 12


Correct Response: C



Korea, Rep. of 98Chinese Taipei-CHN 96Japan 94Russian Federation 92Finland 92United States 92Netherlands 91Singapore 91Hong Kong-CHN 91Portugal 90Austria 90Belgium (Flemish)-BEL 89Slovak Republic 89Germany 89Slovenia 88Lithuania 87Serbia 86Czech Republic 86Hungary 86Poland 85England-GBR 84Croatia 84Australia 84Norway 84Sweden 83Azerbaijan 83Kazakhstan 82Northern Ireland-GBR 82Italy 81Romania 80Spain 79International average 78Chile 76New Zealand 76Denmark 76Armenia 76Turkey 75Georgia 74Ireland 74Bahrain 68Iran, Islamic Rep. of 68United Arab Emirates 67Malta 67Thailand 66Saudi Arabia 64Qatar 55Oman 55Tunisia 51Kuwait 46Morocco 40Yemen 33


Percentcorrect






Content Domain

NUMBER

Main Topic


Cognitive Domain

Applying

Item label: Draw figure 5

Bill is arranging squares in the following way:

A. Draw Figure 5.

Figure 1 Figure 2 Figure 3


SCORINGCorrect Response• Draws Figure 5 correctly

Incorrect Response• Indicates 8, or draws Figure 4

• Other Incorrect (including crossed out, erased, stray marks, illegible, or off task)



Korea, Rep. of 90Japan 84Singapore 84Hong Kong-CHN 79Chinese Taipei-CHN 79Northern Ireland-GBR 72Germany 72Russian Federation 71Netherlands 71Belgium (Flemish)-BEL 71Portugal 71Italy 68Finland 68Croatia 68Denmark 67Sweden 67Ireland 67Australia 66Serbia 66Slovak Republic 65Spain 65Norway 64Lithuania 64Poland 64Czech Republic 64United States 63Kazakhstan 63Austria 63England-GBR 63Slovenia 60New Zealand 59Chile 58International average 58Malta 58Hungary 57Romania 57United Arab Emirates 49Thailand 47Armenia 46Turkey 44Georgia 43Bahrain 43Qatar 42Azerbaijan 39Iran, Islamic Rep. of 37Saudi Arabia 35Oman 35Tunisia 24Kuwait 24Morocco 21Yemen 12


Percentcorrect

Quebec-CAN 73Alberta-CAN 70Ontario-CAN 70Florida-USA 66North Carolina-USA 65Dubai-UAE 57Abu Dhabi-UAE 46




Item label: Draw figure 5 (continued)M041115A


Incorrect Response:




Content Domain

NUMBER

Main Topic


Cognitive Domain

Reasoning

Item label: Number of squares for figure 16

Bill is arranging squares in the following way:

B. How many squares would Bill need to make Figure 16?

Answer: _______________

Figure 1 Figure 2 Figure 3


SCORINGCorrect Response• 32/ twice 16/ or equivalent




Korea, Rep. of 78Singapore 77Chinese Taipei-CHN 76Hong Kong-CHN 74Japan 71Russian Federation 60United States 59Germany 58Northern Ireland-GBR 58England-GBR 55Portugal 55Serbia 55Belgium (Flemish)-BEL 54Netherlands 54Sweden 53Ireland 52Australia 52Denmark 52Czech Republic 51Malta 51Italy 51Austria 51Lithuania 51Kazakhstan 50Slovak Republic 49Norway 48Croatia 48Spain 47Slovenia 47International average 45Finland 45Poland 45Romania 43New Zealand 43Hungary 43Chile 38Turkey 38Azerbaijan 36United Arab Emirates 31Georgia 30Armenia 30Qatar 28Thailand 27Bahrain 26Iran, Islamic Rep. of 25Saudi Arabia 23Oman 19Tunisia 11Morocco 11Kuwait 10Yemen 5


Percentcorrect





Item label: Number of squares for figure 16 (continued)M041115B


Answer: _______________

Incorrect Response:

Answer: _______________




Content Domain

NUMBER

Main Topic

Whole Numbers

Cognitive Domain

Knowing

Item label: Numbers which are factor of 12

Circle each number which is a factor of 12.

1 2 3 4 5 6 7 8 9 10 11 12


SCORINGCorrect Response• 1, 2, 3, 4, 6, 12 marked and no others

Partially Correct Response• Marks 4 or 5 out of 6 correct numbers and no incorrect numbers.




Hong Kong-CHN 88Singapore 79Kazakhstan 61Belgium (Flemish)-BEL 55Hungary 51Northern Ireland-GBR 51Serbia 48United States 46Korea, Rep. of 44Russian Federation 44England-GBR 42Germany 40Denmark 37Lithuania 36Azerbaijan 35Poland 35Armenia 33Slovenia 31Slovak Republic 29Australia 29Croatia 28Malta 28International average 27Netherlands 27Italy 27Czech Republic 24United Arab Emirates 24Romania 24Kuwait 21Qatar 19Portugal 19Finland 18Georgia 16Oman 16Chinese Taipei-CHN 16New Zealand 15Turkey 15Ireland 14Bahrain 12Austria 12Thailand 10Saudi Arabia 10Japan 8Iran, Islamic Rep. of 7Sweden 6Chile 6Spain 6Norway 5Tunisia 4Yemen 2Morocco 1


Percentcorrect

Florida-USA 66North Carolina-USA 47Quebec-CAN 30Dubai-UAE 29Abu Dhabi-UAE 21Alberta-CAN 11Ontario-CAN 8




Item label: Numbers which are factor of 12 (continued)M041122


Incorrect Response:




Content Domain

NUMBER

Main Topic


Cognitive Domain

Knowing

Item label: Fraction of the cake eaten

Tom ate of a cake, and Jane ate of the cake. How much of the cake did they eat altogether?

Answer: _____________


SCORINGCorrect Response•3/4 or equivalent

Incorrect Response• 2/6• Other incorrect (including crossed out, erased, stray marks, illegible, or off task)



Singapore 84Northern Ireland-GBR 68Chinese Taipei-CHN 54Ireland 53Hong Kong-CHN 53England-GBR 51Finland 46Germany 41Australia 37Korea, Rep. of 36United States 35New Zealand 33Denmark 32Belgium (Flemish)-BEL 30Netherlands 28Japan 28Austria 28Malta 24International average 23Serbia 22Azerbaijan 22Romania 21Iran, Islamic Rep. of 20Hungary 19United Arab Emirates 17Czech Republic 16Sweden 16Kazakhstan 16Bahrain 15Qatar 15Slovak Republic 15Spain 14Lithuania 14Slovenia 14Russian Federation 14Saudi Arabia 14Norway 13Oman 12Kuwait 11Portugal 11Italy 11Armenia 11Turkey 9Tunisia 8Chile 8Georgia 7Poland 6Thailand 5Morocco 5Croatia 5Yemen 3


Percentcorrect

North Carolina-USA 40Florida-USA 32Ontario-CAN 28Quebec-CAN 27Dubai-UAE 24Alberta-CAN 19Abu Dhabi-UAE 14




Item label: Fraction of the cake eaten (continued)M041299


Incorrect Response:




Content Domain

NUMBER

Main Topic


Cognitive Domain

Knowing

Item label: Equivalent fractions

Which sentence means Jack ate of a pizza?

A. Jack ate of the pizza

B. Jack ate of the pizza

C. Jack ate of the pizza

D. Jack ate of the pizza

24

14

15

13

12


Correct Response: D



Singapore 89Hong Kong-CHN 88Chinese Taipei-CHN 82Belgium (Flemish)-BEL 77Northern Ireland-GBR 77United States 74Ireland 74Netherlands 72Finland 71Malta 69England-GBR 68Korea, Rep. of 63Australia 62Japan 60Denmark 58New Zealand 57Lithuania 54Serbia 51Hungary 47International average 46Romania 46Azerbaijan 45Norway 44Russian Federation 43Italy 42Slovenia 41Kazakhstan 41Germany 40Portugal 40Sweden 39United Arab Emirates 38Turkey 38Austria 38Spain 37Armenia 37Chile 36Slovak Republic 32Czech Republic 31Georgia 31Iran, Islamic Rep. of 30Qatar 30Bahrain 29Saudi Arabia 29Poland 28Oman 26Kuwait 25Croatia 24Thailand 22Morocco 19Yemen 17Tunisia 15


Percentcorrect






Content Domain

NUMBER

Main Topic

Whole Numbers

Cognitive Domain

Reasoning

Item label: Soccer tournament

In a soccer tournament, teams get:

3 points for a win1 point for a tie0 points for a loss

Zedland has 11 points.

What is the smallest number of games Zedland could have played?

Answer: ________________


SCORINGCorrect Response• 5 OR 3 wins and 2 ties




Hong Kong-CHN 59Japan 56Korea, Rep. of 52Singapore 52Chinese Taipei-CHN 48England-GBR 47Northern Ireland-GBR 45Serbia 45Czech Republic 41Denmark 40Portugal 40Ireland 39Lithuania 37Sweden 36Netherlands 36Finland 35United States 34Slovak Republic 34Australia 31Germany 29Russian Federation 28International average 27Azerbaijan 26New Zealand 26Romania 26Turkey 26Hungary 26Belgium (Flemish)-BEL 25Kazakhstan 25Croatia 25Armenia 25Italy 23Poland 22Spain 21Malta 21Slovenia 21Thailand 20Norway 19Austria 17Chile 16Georgia 14Saudi Arabia 13Morocco 13United Arab Emirates 12Bahrain 11Iran, Islamic Rep. of 9Qatar 8Oman 5Tunisia 4Yemen 3Kuwait 2


Percentcorrect

North Carolina-USA 39Ontario-CAN 36Florida-USA 35Alberta-CAN 35Quebec-CAN 26Dubai-UAE 14Abu Dhabi-UAE 11





Content Domain

NUMBER

Main Topic

Whole Numbers

Cognitive Domain

Reasoning

Item label: Number of hours to Brandon on bike

Mary left Apton and rode at the same speed for 2 hours.

She reached this sign.

Mary continues to ride at the same speed to Brandon.

How many hours will it take her to ride from the sign to Brandon?

A. 1 12

hours

B. 2 hours

C. 3 hours

D. 3 12

hours

Apton, 30 km

Brandon, 45 km


Correct Response: C



Kazakhstan 55Russian Federation 54Singapore 50Romania 50Lithuania 47Denmark 45Portugal 45Slovak Republic 45Hong Kong-CHN 45Serbia 44Chinese Taipei-CHN 44Czech Republic 43Azerbaijan 42Netherlands 42Germany 41Armenia 41Korea, Rep. of 41Hungary 41Georgia 40Croatia 40Northern Ireland-GBR 40Japan 40Poland 39England-GBR 39Slovenia 38International average 38Finland 37Norway 37Belgium (Flemish)-BEL 37Iran, Islamic Rep. of 36Turkey 36Ireland 35Italy 35Australia 34Sweden 34Thailand 34United States 33Tunisia 32New Zealand 32Yemen 32Austria 32Spain 31Bahrain 30Qatar 29Malta 29Saudi Arabia 27United Arab Emirates 27Chile 27Oman 24Kuwait 24Morocco 22


Percentcorrect

Quebec-CAN 39Ontario-CAN 36North Carolina-USA 36Alberta-CAN 34Florida-USA 31Dubai-UAE 26Abu Dhabi-UAE 25





Content Domain

NUMBER

Main Topic


Cognitive Domain

Knowing

Item label: Find the inequivalent fraction

12

48

24

28

Which fraction is not equal to the others?

A.

B.

C.

D.


Correct Response: D



Hong Kong-CHN 82Singapore 81Chinese Taipei-CHN 81Northern Ireland-GBR 73England-GBR 69Finland 68Korea, Rep. of 68Ireland 67Belgium (Flemish)-BEL 66United States 65Malta 65Netherlands 64Japan 56Australia 56Denmark 54Hungary 51Romania 51New Zealand 45Azerbaijan 44Serbia 44International average 44Austria 43Turkey 42Croatia 39Slovak Republic 38Portugal 38Italy 36United Arab Emirates 36Lithuania 36Norway 36Kazakhstan 35Germany 35Russian Federation 35Qatar 34Armenia 32Sweden 31Bahrain 31Georgia 31Slovenia 31Spain 30Czech Republic 30Saudi Arabia 28Poland 26Iran, Islamic Rep. of 26Chile 25Oman 25Tunisia 25Thailand 25Morocco 23Kuwait 16Yemen 15


Percentcorrect






Content Domain

NUMBER

Main Topic

Whole Numbers

Cognitive Domain

Knowing

Item label: Multiply 23 and 19

23 × 19 =

Answer: _______________






Chinese Taipei-CHN 90Korea, Rep. of 83Singapore 79Portugal 79Japan 78Hong Kong-CHN 77Russian Federation 74Kazakhstan 70Armenia 69Serbia 68Azerbaijan 63Lithuania 61Turkey 59United States 59Italy 58Austria 58Spain 55Croatia 54Romania 51Tunisia 50Iran, Islamic Rep. of 45Georgia 44Slovak Republic 43Northern Ireland-GBR 43Thailand 42International average 41Hungary 40Ireland 40England-GBR 37Germany 32Czech Republic 28United Arab Emirates 28Belgium (Flemish)-BEL 26Malta 25Netherlands 25Morocco 25Bahrain 23Chile 23Denmark 20Qatar 19Oman 18Slovenia 16Saudi Arabia 15Australia 11Norway 9New Zealand 8Poland 6Sweden 5Yemen 5Finland 5Kuwait 3


Percentcorrect

Florida-USA 64North Carolina-USA 61Dubai-UAE 38Quebec-CAN 23Abu Dhabi-UAE 22Ontario-CAN 12Alberta-CAN 9





Content Domain

NUMBER

Main Topic


Cognitive Domain

Applying

Item label: How far did Duncan travel

Duncan first traveled 4.8 km in a car and then he traveled 1.5 km in a bus.

How far did Duncan travel?

A. 6.3 km

B. 5.8 km

C. 5.13 km

D. 4.95 km


Correct Response: A



Korea, Rep. of 97Japan 95Singapore 92Chinese Taipei-CHN 92Finland 86Belgium (Flemish)-BEL 86Portugal 84Germany 76Ireland 75Northern Ireland-GBR 74Lithuania 74England-GBR 74United States 74Hong Kong-CHN 74Netherlands 73Denmark 73Austria 72Italy 69Malta 67Russian Federation 67Sweden 65Chile 64Kazakhstan 63Azerbaijan 62Australia 62Hungary 61International average 60Slovak Republic 60Poland 59Czech Republic 59Norway 59Spain 58Romania 57Turkey 56Slovenia 54Serbia 54Croatia 54New Zealand 48Georgia 48Bahrain 44Thailand 44Qatar 42Armenia 41United Arab Emirates 41Saudi Arabia 30Morocco 30Oman 29Iran, Islamic Rep. of 29Tunisia 28Yemen 19Kuwait 19


Percentcorrect

North Carolina-USA 80Florida-USA 72Quebec-CAN 69Alberta-CAN 61Ontario-CAN 57Dubai-UAE 55Abu Dhabi-UAE 34





Content Domain

NUMBER

Main Topic


Cognitive Domain

Applying

Item label: Number of matches for figure 4

Cooney has to form figures 1 to 4 with matches.

Figures 1, 2, and 3 are shown below.

He needs four matches to form figure 1, seven matches to form figure 2, and ten matches to form figure 3.

He uses the same rule each time to make the next figure in the pattern.

How many matches will he need to form figure 4?

Answer: ______________

1 2 3



Incorrect Response

•

• Other incorrect (including crossed out, erased, stray marks, illegible, or off task)



Korea, Rep. of 93Japan 84Singapore 82Hong Kong-CHN 77Chinese Taipei-CHN 73Belgium (Flemish)-BEL 72Finland 72Netherlands 72Portugal 71Germany 69Russian Federation 69Denmark 68Sweden 67Serbia 66Northern Ireland-GBR 66Slovenia 66Slovak Republic 64Czech Republic 64England-GBR 63Kazakhstan 62Lithuania 61Austria 61Norway 58United States 58Italy 58Australia 58Ireland 56Croatia 56Hungary 55New Zealand 54International average 54Spain 50Georgia 50Thailand 50Romania 49Azerbaijan 49Poland 49Chile 47Armenia 47Malta 43Bahrain 39Iran, Islamic Rep. of 35United Arab Emirates 35Qatar 31Saudi Arabia 30Turkey 29Oman 22Tunisia 18Morocco 17Kuwait 15Yemen 7


Percentcorrect

Quebec-CAN 66Florida-USA 60Alberta-CAN 59North Carolina-USA 58Ontario-CAN 58Dubai-UAE 44Abu Dhabi-UAE 30





Content Domain

GEOMETRIC SHAPES AND MEASURES

Main Topic

Points, Lines, and Angles

Cognitive Domain

Applying

Item label: Length of string pulled straight

If the string in the diagram above is pulled straight, which of these is closest to its length?

A. 5 cm

B. 7 cm

C. 8 cm

D. 9 cm

1 2 3 094 5 6 7 8cm 1


Correct Response: B



Russian Federation 53Japan 52Belgium (Flemish)-BEL 48Chinese Taipei-CHN 48Singapore 44Sweden 44Netherlands 43Kazakhstan 43Germany 42Korea, Rep. of 41Hong Kong-CHN 41Azerbaijan 39Slovenia 38Finland 38Denmark 36Lithuania 36Austria 36Portugal 34Slovak Republic 33Serbia 33Poland 30Romania 29Italy 29International average 29Czech Republic 29Hungary 28Northern Ireland-GBR 26Croatia 26Australia 26Norway 26Armenia 22Thailand 22Turkey 21Tunisia 20Georgia 20United States 20Spain 20England-GBR 19Iran, Islamic Rep. of 18Malta 18Morocco 18Yemen 17Qatar 16New Zealand 16Ireland 16Chile 15Saudi Arabia 15United Arab Emirates 14Oman 13Kuwait 13Bahrain 10


Percentcorrect

Quebec-CAN 24Florida-USA 23Ontario-CAN 21North Carolina-USA 20Dubai-UAE 18Alberta-CAN 17Abu Dhabi-UAE 14





Content Domain


Main Topic

Two- and Three-dimensional Shapes

Cognitive Domain

Knowing

Item label: Position of shape after a 1/2 turn

Which of the following shows the position of the shape above aft er a half turn or 180° rotation?

A. B.

C. D.


Correct Response: B



Korea, Rep. of 80Singapore 70Japan 69Finland 67Hong Kong-CHN 64England-GBR 64Northern Ireland-GBR 63Netherlands 59Chinese Taipei-CHN 58United States 52Russian Federation 51Portugal 49Slovak Republic 48Denmark 48Australia 47Norway 47New Zealand 46Italy 46Sweden 46Azerbaijan 45Czech Republic 45Germany 44Turkey 44Serbia 43International average 43Spain 42Kazakhstan 42Hungary 42Ireland 42Belgium (Flemish)-BEL 40Austria 40Lithuania 39Croatia 38Chile 38Saudi Arabia 36Thailand 35Qatar 35Malta 35Romania 34Poland 34Slovenia 34United Arab Emirates 32Bahrain 32Georgia 29Iran, Islamic Rep. of 27Kuwait 24Morocco 22Oman 22Armenia 21Tunisia 16Yemen 12


Percentcorrect

Florida-USA 75North Carolina-USA 59Ontario-CAN 47Quebec-CAN 47Alberta-CAN 37Dubai-UAE 36Abu Dhabi-UAE 28





Content Domain


Main Topic


Cognitive Domain

Knowing

Item label: Pieces of cardboard to make shape

Susan has the 6 pieces of cardboard shown above. Which of the following shapes could Susan make using all 6 of these pieces without cutting them?

A. B.

C.

D.

2 cm2 cm

1 cm 2 cm 2 cm1 cm

1 cm

1 cm

1 cm

1 cm

1 cm

1 cm

1 cm

1 cm

2 cm2 cm

1 cm

1 cm

1 cm

1 cm

2 cm2 cm1 cm1 cm


Correct Response: D



Portugal 93Hong Kong-CHN 92Japan 90Singapore 88Korea, Rep. of 85Finland 84Russian Federation 84Chinese Taipei-CHN 84United States 83Ireland 82Australia 81Chile 81Czech Republic 80Denmark 79Serbia 79Slovak Republic 78England-GBR 78Sweden 78Northern Ireland-GBR 78Austria 75Belgium (Flemish)-BEL 74Hungary 74Lithuania 73Turkey 72Netherlands 72Slovenia 71New Zealand 71Germany 71Italy 71Spain 70Norway 70Croatia 69International average 69Kazakhstan 67Malta 64Romania 63Poland 63Azerbaijan 61Bahrain 60Thailand 57Georgia 56Saudi Arabia 54Iran, Islamic Rep. of 53Armenia 53United Arab Emirates 53Qatar 43Oman 40Morocco 37Tunisia 37Kuwait 32Yemen 26


Percentcorrect

Florida-USA 86Quebec-CAN 81Ontario-CAN 81North Carolina-USA 79Alberta-CAN 73Dubai-UAE 64Abu Dhabi-UAE 46





Content Domain


Main Topic


Cognitive Domain

Applying

Item label: Jamie is playing a board game

Jamie is playing a board game. His counter is on square D5. Which of these moves would put his counter on square G7?

A. 2 squares to the right and 3 squares up

B. 2 squares to the left and 3 squares up

C. 3 squares to the right and 2 squares up

D. 3 squares to the left and 2 squares up

4

7

6

5

3

1

2

A B C D E F G H

8


Correct Response: C



Korea, Rep. of 92Chinese Taipei-CHN 90Japan 86Finland 85Netherlands 85Singapore 85Slovenia 83Germany 82England-GBR 81Hong Kong-CHN 81Australia 80United States 80Czech Republic 79Northern Ireland-GBR 79Belgium (Flemish)-BEL 79Portugal 79Russian Federation 78Denmark 78Sweden 77Ireland 77Lithuania 76Hungary 76Austria 76Italy 75Spain 75Croatia 75Norway 74Slovak Republic 73New Zealand 73Serbia 71Poland 70Romania 69International average 68Malta 67Chile 64Turkey 61Kazakhstan 58Thailand 57United Arab Emirates 56Armenia 56Georgia 51Bahrain 50Azerbaijan 49Qatar 48Saudi Arabia 47Iran, Islamic Rep. of 46Oman 39Kuwait 36Morocco 36Yemen 35Tunisia 35


Percentcorrect

North Carolina-USA 83Quebec-CAN 80Alberta-CAN 79Ontario-CAN 79Florida-USA 74Dubai-UAE 63Abu Dhabi-UAE 54





Content Domain


Main Topic


Cognitive Domain

Knowing

Item label: Which dotted line is of symmetry

In which of the following fi gures is the dotted line a line of symmetry?

A. B.

C. D.


Correct Response: D



Singapore 91Hong Kong-CHN 81United States 80Australia 76Korea, Rep. of 75Northern Ireland-GBR 74England-GBR 71Malta 70Ireland 66Turkey 65Denmark 65Saudi Arabia 65Germany 64Iran, Islamic Rep. of 64Portugal 63Italy 63Czech Republic 63Hungary 61Lithuania 61Kazakhstan 59Russian Federation 58Kuwait 58Bahrain 57International average 54Oman 54United Arab Emirates 54Chile 53New Zealand 53Thailand 53Norway 52Azerbaijan 52Romania 50Qatar 50Slovenia 49Austria 49Belgium (Flemish)-BEL 49Finland 49Spain 48Georgia 44Serbia 43Chinese Taipei-CHN 43Poland 40Slovak Republic 40Armenia 39Morocco 37Sweden 32Netherlands 30Croatia 30Japan 30Yemen 27Tunisia 22


Percentcorrect

Florida-USA 87North Carolina-USA 86Ontario-CAN 76Alberta-CAN 62Quebec-CAN 62Abu Dhabi-UAE 54Dubai-UAE 52





Content Domain


Main Topic


Cognitive Domain

Knowing

Item label: The angles ordered by size

In which of the following are the angles ordered by size, from least to greatest?

A. Q, P, R, S

B. Q, R, P, S

C. S, P, R, Q

D. S, R, P, Q

P Q R S


Correct Response: C



Japan 94Singapore 90Hong Kong-CHN 84Korea, Rep. of 82Netherlands 81Belgium (Flemish)-BEL 80United States 78Turkey 74Northern Ireland-GBR 73Hungary 72Russian Federation 71Portugal 70Chinese Taipei-CHN 70Thailand 69Ireland 69Chile 68Spain 68Australia 68Lithuania 68Finland 67Croatia 67England-GBR 66Slovenia 66Germany 66Malta 65Bahrain 65Italy 64Poland 64Romania 63International average 63Slovak Republic 63Austria 61Kazakhstan 60Czech Republic 60Georgia 59Sweden 58Serbia 58Azerbaijan 57Saudi Arabia 57Denmark 56Qatar 54New Zealand 54Norway 54United Arab Emirates 53Oman 50Armenia 50Kuwait 46Yemen 37Tunisia 35Iran, Islamic Rep. of 27Morocco 26


Percentcorrect






Content Domain


Main Topic


Cognitive Domain

Knowing

Item label: Rotate the shape 1/4 clockwise

A pattern rule says “Rotate the shape

turn clockwise each time.”

What will the pattern look like?

A.

B.

C.

D.


Correct Response: A



Korea, Rep. of 93Chinese Taipei-CHN 89Hong Kong-CHN 87Singapore 86Belgium (Flemish)-BEL 84Netherlands 81Northern Ireland-GBR 80Ireland 79Japan 78United States 78England-GBR 76Hungary 76Australia 76Finland 75Germany 74Czech Republic 74Italy 74Portugal 74Lithuania 72Slovak Republic 71Austria 71Russian Federation 70Spain 70New Zealand 69Denmark 66Romania 66Kazakhstan 65Slovenia 64Poland 64Turkey 64Croatia 64International average 64Serbia 63Malta 61Sweden 61Chile 57Norway 56Bahrain 54Saudi Arabia 53Qatar 51Azerbaijan 51Thailand 50United Arab Emirates 50Armenia 46Oman 42Iran, Islamic Rep. of 37Georgia 37Kuwait 36Morocco 28Tunisia 22Yemen 22


Percentcorrect

Florida-USA 82North Carolina-USA 81Alberta-CAN 74Ontario-CAN 74Quebec-CAN 66Dubai-UAE 62Abu Dhabi-UAE 45





Content Domain


Main Topic


Cognitive Domain

Applying

Item label: Shaded area in square centimeters

Th e squares in the grid above are 1 cm by 1 cm. What is the shaded area in square centimeters?

Answer: _______________ square centimeters

1 cm

1 cm






Japan 70Hong Kong-CHN 67Chinese Taipei-CHN 63Northern Ireland-GBR 52Korea, Rep. of 48Denmark 46Russian Federation 44Australia 43Netherlands 43Portugal 40Singapore 39United States 38Belgium (Flemish)-BEL 37Thailand 37Lithuania 37Germany 35Azerbaijan 35Ireland 34Hungary 33England-GBR 32Sweden 31Austria 30International average 30Czech Republic 29Slovak Republic 29Serbia 28Italy 27Armenia 26Finland 26Croatia 26Kazakhstan 26Norway 25Iran, Islamic Rep. of 25New Zealand 23Malta 23Romania 23Slovenia 22Saudi Arabia 21Bahrain 21Poland 17Turkey 17Georgia 17United Arab Emirates 17Oman 16Qatar 15Chile 13Morocco 11Spain 11Tunisia 9Yemen 7Kuwait 5


Percentcorrect

Florida-USA 57Quebec-CAN 41Ontario-CAN 37North Carolina-USA 34Alberta-CAN 31Dubai-UAE 27Abu Dhabi-UAE 14




Item label: Shaded area in square centimeters (continued)M031297



Incorrect Response:





Content Domain


Main Topic


Cognitive Domain

Applying

Item label: Angle between 90 and 180 degrees

In the space below, draw an angle that is greater than 90 degrees but less than180 degrees.


SCORINGCorrect Response• Obtuse angle drawn (labeled or unlabeled)

Incorrect Response• Angle less than 90 degrees• Straight line• Other incorrect (including crossed out, erased, stray marks, illegible, or off task)



Korea, Rep. of 88Singapore 80Chinese Taipei-CHN 74Japan 72Hong Kong-CHN 62Italy 56Northern Ireland-GBR 56United States 53Portugal 53England-GBR 50Turkey 49Spain 44Australia 43Denmark 42Ireland 41Kazakhstan 39Russian Federation 38Oman 32Belgium (Flemish)-BEL 32Azerbaijan 32International average 31Romania 31Chile 30Armenia 29Iran, Islamic Rep. of 29Serbia 24Hungary 22Finland 22Norway 22Lithuania 21Slovak Republic 20United Arab Emirates 20Croatia 20Georgia 18Thailand 17Saudi Arabia 17New Zealand 17Bahrain 17Malta 17Sweden 17Qatar 16Germany 13Austria 12Czech Republic 11Poland 9Yemen 8Slovenia 8Netherlands 8Tunisia 8Morocco 6Kuwait 5


Percentcorrect

Florida-USA 59North Carolina-USA 49Ontario-CAN 44Quebec-CAN 32Dubai-UAE 24Abu Dhabi-UAE 18Alberta-CAN 11




Item label: Angle between 90 and 180 degrees (continued)M031325


Incorrect Response:




Content Domain


Main Topic


Cognitive Domain

Knowing

Item label: Identify shapes in the picture

Write the names of shapes A, B, and C in the spaces provided.

A. _______________

B. _______________

C. _______________


SCORINGCorrect Response• A: Triangle B: Rectangle or oblong or more general correct terms such as parallelogram,

quadrilateral or tetragon C: Circle (allow cylinder for circle)

Partially Correct Response• 2 shapes correctly named

Incorrect Response• 1 shape correctly named • Other incorrect (including crossed out, erased, stray marks, illegible, or off task)



Singapore 79Russian Federation 76Serbia 76Ireland 72Slovenia 71Korea, Rep. of 70England-GBR 70Poland 70Hong Kong-CHN 69Northern Ireland-GBR 68Japan 66Australia 65Slovak Republic 64Belgium (Flemish)-BEL 64United States 63Kazakhstan 62Thailand 62Georgia 61Italy 60Croatia 60Hungary 59Romania 57Portugal 57Norway 55Denmark 55New Zealand 54Chinese Taipei-CHN 54Malta 53Sweden 53International average 53Czech Republic 53Germany 51Iran, Islamic Rep. of 48Bahrain 48Lithuania 48Netherlands 48Azerbaijan 47United Arab Emirates 46Chile 44Turkey 44Austria 40Oman 38Tunisia 38Qatar 37Armenia 32Saudi Arabia 32Spain 29Kuwait 26Finland 25Morocco 23Yemen 6


Percentcorrect

Florida-USA 69North Carolina-USA 68Ontario-CAN 68Quebec-CAN 63Alberta-CAN 61Dubai-UAE 51Abu Dhabi-UAE 39




Item label: Identify shapes in the picture (continued)M041143

Student ResponsesCorrect Response:Write the names of shapes A, B, and C in the spaces provided.

A. _______________

B. _______________

C. _______________

Partially Correct Response:Write the names of shapes A, B, and C in the spaces provided.

A. _______________

B. _______________

C. _______________



Item label: Identify shapes in the picture (continued)M041143

Student ResponsesIncorrect Response:Write the names of shapes A, B, and C in the spaces provided.

A. _______________

B. _______________

C. _______________




Content Domain


Main Topic


Cognitive Domain

Knowing

Item label: Statement about 3-D figures

Figure A Figure B

Here are some statements about Figure A and Figure B. Put an X to show whether each statement is true or false.

Statement True False

A and B both have a square face. X

A and B both have the same number of faces.

All the angles in A are right angles.

B has more edges than A.

Some of the edges in B are curved.


SCORINGCorrect Response• Puts the X’s in the correct column as shown below.

True False

Partially Correct Response• Any three correct




Portugal 70Austria 67Northern Ireland-GBR 58England-GBR 58Hong Kong-CHN 57Chinese Taipei-CHN 53Japan 53United States 50Denmark 47Australia 45Ireland 45Germany 44Korea, Rep. of 44Italy 44Hungary 42Belgium (Flemish)-BEL 42Poland 42Chile 41Singapore 41Malta 40Slovenia 39Croatia 35Lithuania 34Finland 33International average 32New Zealand 32Romania 32Serbia 28Qatar 27Kazakhstan 27Spain 26United Arab Emirates 26Norway 26Oman 26Russian Federation 22Sweden 20Netherlands 20Kuwait 20Slovak Republic 19Czech Republic 18Armenia 16Iran, Islamic Rep. of 15Georgia 15Bahrain 13Tunisia 11Saudi Arabia 11Azerbaijan 6Thailand 6Turkey 4Yemen 1Morocco —

Not applicable.


Percentcorrect

Quebec-CAN 57Ontario-CAN 46North Carolina-USA 46Florida-USA 44Dubai-UAE 29Alberta-CAN 29Abu Dhabi-UAE 22

— Not applicable



Item label: Statement about 3-D figures (continued)M041148








Figure A Figure B

Incorrect Response:







Figure A Figure B




Content Domain


Main Topic


Cognitive Domain

Applying

Item label: How far does Ruth walk

The school playground is a square. Th e playground is 100 meters long. Ruth walks all the way around the edge of the playground. How far does she walk?

A. 100 meters

B. 200 meters

C. 400 meters

D. 10,000 meters


Correct Response: C



Chinese Taipei-CHN 88Hong Kong-CHN 82Finland 70Korea, Rep. of 70Russian Federation 69Japan 68Turkey 68Netherlands 65Lithuania 62Singapore 61Slovak Republic 61Czech Republic 60Belgium (Flemish)-BEL 58Malta 58Sweden 57Northern Ireland-GBR 57Croatia 56Austria 56Azerbaijan 55Germany 54Thailand 54Denmark 54Kazakhstan 53Poland 53England-GBR 53Australia 52Romania 51Portugal 51Slovenia 50Hungary 50International average 50Ireland 49Iran, Islamic Rep. of 46New Zealand 44Italy 44United States 43Georgia 42Armenia 41Norway 41Spain 38Tunisia 38Serbia 36Chile 36Saudi Arabia 35United Arab Emirates 29Bahrain 24Oman 23Qatar 22Kuwait 21Yemen 17Morocco 15


Percentcorrect






Content Domain


Main Topic


Cognitive Domain

Applying

Item label: Number of boxes in the stack

Ann stacks these boxes in the corner of the room. All the boxes are the same size.How many boxes does she use?

A. 25

B. 19

C. 18

D. 13


Correct Response: C



Chinese Taipei-CHN 95Belgium (Flemish)-BEL 90Netherlands 90Korea, Rep. of 85Germany 85Japan 84Portugal 84Finland 81Hong Kong-CHN 80Lithuania 78Singapore 78Denmark 77Czech Republic 74Sweden 74Norway 74Australia 74Austria 74Northern Ireland-GBR 72Slovenia 70Hungary 70Serbia 70United States 69Russian Federation 68England-GBR 67Ireland 66Slovak Republic 66New Zealand 63Poland 63International average 63Croatia 62Chile 59Romania 57Kazakhstan 57Malta 57Spain 55Thailand 53Italy 52Georgia 51Bahrain 50Armenia 47Azerbaijan 46Turkey 45Iran, Islamic Rep. of 44Saudi Arabia 43United Arab Emirates 41Qatar 38Oman 33Tunisia 32Morocco 31Kuwait 31Yemen 31


Percentcorrect

Quebec-CAN 77Alberta-CAN 72Ontario-CAN 70Florida-USA 68North Carolina-USA 68Abu Dhabi-UAE 45Dubai-UAE 43





Content Domain


Main Topic


Cognitive Domain

Knowing

Item label: Position of the shop

This is a map of Lucy’s town. The market is at the position C2.

8

7

6 school

5

4

3 shop

2 market

1

A B C D E F G H I

A. What is the position of the shop?

The shop is at _______________


SCORINGCorrect Response• H3 / (H, 3) / 3H / (3, H) or equivalent




Netherlands 95Slovenia 95Korea, Rep. of 94Hong Kong-CHN 94Belgium (Flemish)-BEL 94Finland 93Lithuania 93Portugal 93Germany 93Japan 92Czech Republic 91Denmark 90Northern Ireland-GBR 90Italy 89Australia 89Austria 89England-GBR 88Slovak Republic 88Russian Federation 88Sweden 87Norway 87Singapore 87Croatia 87United States 87Hungary 86Spain 85Serbia 83Poland 83Malta 83Ireland 83New Zealand 82Chinese Taipei-CHN 79International average 76Romania 76Chile 76Kazakhstan 71Bahrain 70Turkey 67United Arab Emirates 64Iran, Islamic Rep. of 61Saudi Arabia 58Thailand 56Armenia 56Azerbaijan 55Qatar 51Georgia 48Oman 44Kuwait 43Tunisia 36Morocco 30Yemen 10


Percentcorrect

Quebec-CAN 93Ontario-CAN 89Alberta-CAN 88Florida-USA 86North Carolina-USA 85Dubai-UAE 75Abu Dhabi-UAE 57




Item label: Position of the shop (continued)M041160A


The shop is at _____________________

Incorrect Response:

The shop is at ______________________




Content Domain


Main Topic


Cognitive Domain

Applying

Item label: Mark Lucy’s house

This is a map of Lucy’s town. Th e market is at the position C2.

8

7

6 school

5

4

3 shop

2 market

1

A B C D E F G H I

B. Lucy’s house is at D5. Put an X on the map to show where Lucy’s house is.


SCORINGCorrect Response• Cross or other mark anywhere in square D5




Korea, Rep. of 97Netherlands 97Portugal 97Japan 96Belgium (Flemish)-BEL 96Hong Kong-CHN 96Finland 96Singapore 95Germany 95Australia 94England-GBR 94Chinese Taipei-CHN 93Slovenia 93United States 92Northern Ireland-GBR 91Croatia 91Lithuania 91Sweden 91Denmark 91Italy 91Czech Republic 90Norway 90Ireland 89Russian Federation 89Slovak Republic 89Austria 89New Zealand 89Hungary 88Malta 87Spain 86Poland 85Serbia 85International average 78Chile 78Romania 75Turkey 75Kazakhstan 72Bahrain 66Iran, Islamic Rep. of 65United Arab Emirates 64Thailand 58Saudi Arabia 58Armenia 54Qatar 52Azerbaijan 50Georgia 50Oman 46Kuwait 39Tunisia 35Morocco 25Yemen 9


Percentcorrect

Quebec-CAN 96Alberta-CAN 95Ontario-CAN 93North Carolina-USA 88Florida-USA 88Dubai-UAE 76Abu Dhabi-UAE 58





Content Domain


Main Topic


Cognitive Domain

Reasoning

Item label: Relating net with its 3-D figure

Ariana found the following patterns to make containers. Which pattern actually makes the container shown beside it?

A.

B.

C.

D.


Correct Response: D



Japan 80Korea, Rep. of 75Hong Kong-CHN 59Chinese Taipei-CHN 56Finland 53Russian Federation 51Czech Republic 50Netherlands 50Germany 47Serbia 47Slovenia 47Austria 47Singapore 47Azerbaijan 45Hungary 44Portugal 44England-GBR 44Lithuania 42New Zealand 41Kazakhstan 40Australia 39Italy 39Slovak Republic 39Northern Ireland-GBR 39Romania 38Poland 37International average 37Norway 36Croatia 36Thailand 35United States 34Belgium (Flemish)-BEL 33Chile 33Denmark 31Ireland 30Sweden 30Spain 28Malta 28United Arab Emirates 23Armenia 23Turkey 23Qatar 22Saudi Arabia 22Iran, Islamic Rep. of 21Bahrain 19Kuwait 17Oman 16Morocco 14Georgia 14Yemen 11Tunisia 9


Percentcorrect

Ontario-CAN 47Alberta-CAN 42Quebec-CAN 36Florida-USA 33Dubai-UAE 28North Carolina-USA 24Abu Dhabi-UAE 19





Content Domain


Main Topic


Cognitive Domain

Reasoning

Item label: Identify the shapes

Sean used the table to sort these shapes. Put the letter of each shape in the space where it belongs. Shape A has been done for you.

Has 4 Sides Does Not Have 4 Sides

All sides arethe same length A

All sides are NOTthe same length

A B C D E F


SCORINGCorrect Response• 5 correct

Partially Correct Response• 3 or 4 correct




Northern Ireland-GBR 45Slovenia 41England-GBR 38Hungary 34Hong Kong-CHN 33Japan 32Korea, Rep. of 28Belgium (Flemish)-BEL 26Chinese Taipei-CHN 26Italy 22Finland 22Germany 22Portugal 20Denmark 20Russian Federation 20Netherlands 18Lithuania 16Austria 15Serbia 15Norway 15International average 15Czech Republic 14Morocco 13Slovak Republic 13United States 13Spain 12Australia 12Singapore 12Malta 11Croatia 11Sweden 10Poland 10Kazakhstan 10Romania 9Ireland 9New Zealand 8United Arab Emiraes 7Turkey 7Qatar 6Azerbaijan 6Armenia 6Saudi Arabia 5Chile 5Iran, Islamic Rep. of 5Bahrain 4Georgia 4Tunisia 2Kuwait 2Thailand 1Oman 1Yemen #

Rounds to zero.


Percentcorrect

Quebec-CAN 27Ontario-CAN 23Alberta-CAN 21North Carolina-USA 16Dubai-UAE 13Florida-USA 8Abu Dhabi-UAE 6

# Rounds to zero



Item label: Identify the shapes (continued)M041284









Incorrect Response:







Content Domain


Main Topic


Cognitive Domain

Applying

Item label: Draw the line of symmetry

Draw the line of symmetry on this shape.


SCORINGCorrect Response• Line drawn correctly as shown




Hong Kong-CHN 93Singapore 92Northern Ireland-GBR 86England-GBR 82Malta 80United States 80Australia 75Ireland 74Portugal 67Kazakhstan 67Russian Federation 61Iran, Islamic Rep. of 61Lithuania 58New Zealand 58Korea, Rep. of 57Italy 57Norway 56Bahrain 56Germany 55Slovenia 53Hungary 48Azerbaijan 47International average 47United Arab Emirates 46Qatar 44Czech Republic 42Romania 42Belgium (Flemish)-BEL 41Turkey 41Chile 39Austria 39Oman 38Finland 38Spain 37Slovak Republic 37Kuwait 36Denmark 36Thailand 35Georgia 33Saudi Arabia 32Serbia 32Japan 31Armenia 28Morocco 27Sweden 25Chinese Taipei-CHN 22Netherlands 21Poland 16Croatia 16Tunisia 9Yemen 6


Percentcorrect

Florida-USA 87North Carolina-USA 82Ontario-CAN 82Alberta-CAN 71Dubai-UAE 51Quebec-CAN 49Abu Dhabi-UAE 42




Item label: Draw the line of symmetry (continued)M041327


Incorrect Response:




Content Domain


Main Topic


Cognitive Domain

Applying

Item label: Draw reflection of the triangle

Draw the refl ection of the triangle. Line m is the mirror line.

m


SCORINGCorrect Response• Correct figure drawn (each vertex should be within 2 mm of the correct position)




Korea, Rep. of 92Denmark 90Singapore 89Japan 87Hong Kong-CHN 83Germany 83Belgium (Flemish)-BEL 80Slovenia 78Norway 75Finland 74Netherlands 73Portugal 72Austria 72Hungary 71Lithuania 70England-GBR 70Malta 69Italy 69Northern Ireland-GBR 68Czech Republic 68Australia 66New Zealand 60Ireland 59United States 56International average 53Spain 53Chinese Taipei-CHN 51Russian Federation 50Kazakhstan 49Sweden 48Chile 45Poland 42Qatar 41Romania 40Slovak Republic 40Serbia 39Bahrain 38Croatia 33Morocco 32United Arab Emirates 32Thailand 30Turkey 29Azerbaijan 29Iran, Islamic Rep. of 29Saudi Arabia 28Armenia 26Oman 20Georgia 19Kuwait 16Tunisia 11Yemen 2


Percentcorrect

Quebec-CAN 76Ontario-CAN 70Florida-USA 67North Carolina-USA 59Alberta-CAN 54Dubai-UAE 43Abu Dhabi-UAE 28




Item label: Draw reflection of the triangle (continued)M041328


M

Incorrect Response:

M




Content Domain


Main Topic


Cognitive Domain

Knowing

Item label: Which one is a right angle

One of these angles is a right angle. Which one?

A. B.

C. D.


Correct Response: A



Korea, Rep. of 97Hong Kong-CHN 96Belgium (Flemish)-BEL 93Singapore 91Chinese Taipei-CHN 91Japan 90Croatia 80Denmark 76Northern Ireland-GBR 76Austria 75Russian Federation 74Portugal 74Ireland 72Slovenia 72Finland 71Malta 71Spain 71Hungary 70Serbia 70England-GBR 69United States 68Italy 68Thailand 66Germany 66Poland 64International average 64Azerbaijan 63Norway 63Iran, Islamic Rep. of 63Sweden 62Romania 61Kazakhstan 60Australia 60Czech Republic 59Slovak Republic 58Netherlands 58Lithuania 56Morocco 55Armenia 54Chile 53Turkey 53Qatar 51Oman 50Tunisia 50United Arab Emirates 49Georgia 45Saudi Arabia 42New Zealand 38Bahrain 35Kuwait 35Yemen 28


Percentcorrect

Florida-USA 77Quebec-CAN 75North Carolina-USA 65Ontario-CAN 65Dubai-UAE 50Abu Dhabi-UAE 47Alberta-CAN 44





Content Domain


Main Topic


Cognitive Domain

Applying

Item label: Complete Jay’s shape

Jay has to draw a shape.

It must have 5 sides.

It must have one line of symmetry.

Jay has started to draw the shape.

Complete Jay’s shape.


SCORINGCorrect Response• Correct shape drawn which has 5 sides and 1 line of symmetry. The new vertex must be within ±2

mm of the line of symmetry (accept the new vertex anywhere on the line of symmetry, provided there are 5 sides).

OR

Incorrect Response

• Other incorrect (including crossed out, erased, stray marks, illegible, or off task)



Hong Kong-CHN 84Korea, Rep. of 67England-GBR 61Singapore 61Russian Federation 61Denmark 57Kazakhstan 55Slovenia 55Northern Ireland-GBR 53Portugal 53Belgium (Flemish)-BEL 52Lithuania 52United States 51Italy 50Australia 50Slovak Republic 47Ireland 47Georgia 46Sweden 45Finland 45Azerbaijan 45Chinese Taipei-CHN 44Germany 44Malta 44Czech Republic 43Romania 42Hungary 42International average 42New Zealand 42Armenia 41Spain 41Iran, Islamic Rep. of 40Japan 39Poland 39Norway 38Chile 38Thailand 37Bahrain 31Serbia 31Oman 31Croatia 29United Arab Emirates 29Netherlands 29Saudi Arabia 29Austria 26Qatar 26Turkey 26Morocco 23Tunisia 19Kuwait 17Yemen 5


Percentcorrect

Quebec-CAN 59Ontario-CAN 52Florida-USA 50North Carolina-USA 50Alberta-CAN 37Dubai-UAE 36Abu Dhabi-UAE 26




Item label: Complete Jay’s shape (continued)M051015


Incorrect Response:




Content Domain


Main Topic


Cognitive Domain

Knowing

Item label: Complete the table

Playground

Library

Oak

Str

eet

Elm

Str

eet

Shop

Fire Station

Maple Street

Pine Street

A. Complete the table to show where the places are.

The first one has been done for you.

Places Grid Square

Playground B2

School

Corner of Maple and Oak Streets

4

3

2

1

A B C D E F


SCORINGCorrect Response• Both the places are correct: School (F2) AND Maple/Oak Streets (E3). Do not accept 2F or 3E

Incorrect Response• School correct only (F2)• Maple/Oak correct only (E3)• Other incorrect (including crossed out, erased, stray marks, illegible, or off task)



Finland 78Korea, Rep. of 77Belgium (Flemish)-BEL 75Denmark 73Sweden 68Russian Federation 68Hong Kong-CHN 68Japan 68England-GBR 67Croatia 65Chinese Taipei-CHN 65Australia 65Northern Ireland-GBR 65Slovenia 65Norway 64Netherlands 63United States 63Hungary 63Portugal 63Lithuania 63Spain 62Singapore 60Poland 59Czech Republic 59Germany 58New Zealand 56Slovak Republic 55Italy 54Kazakhstan 50International average 50Austria 48Serbia 47Malta 44Ireland 43Romania 43Chile 40United Arab Emirates 33Turkey 32Armenia 32Bahrain 32Azerbaijan 31Saudi Arabia 30Qatar 28Iran, Islamic Rep. of 24Oman 23Georgia 23Thailand 23Morocco 20Kuwait 16Tunisia 14Yemen 3


Percentcorrect

North Carolina-USA 64Ontario-CAN 63Florida-USA 62Quebec-CAN 59Alberta-CAN 56Dubai-UAE 33Abu Dhabi-UAE 32





Content Domain


Main Topic


Cognitive Domain

Applying

Item label: Put an X where Troy lives

SchoolPlayground

Library

Oak

Str

eet

Elm

Str

eet

Shop

Fire Station

Maple Street

Pine Street

4

3

2

1

A B C D E F

B. Troy lives in a house in square C4. Put an X in the square to show where Troy lives.


SCORINGCorrect Response• An “X” in square C4




Korea, Rep. of 92Finland 90Netherlands 87Hong Kong-CHN 87Japan 85Belgium (Flemish)-BEL 85Portugal 84Slovenia 84Singapore 84Australia 83Lithuania 83England-GBR 81Northern Ireland-GBR 81Norway 80Sweden 80Hungary 80Croatia 79Germany 79Ireland 78United States 78Denmark 78Italy 78Czech Republic 77Chinese Taipei-CHN 77Spain 75Slovak Republic 73Malta 73New Zealand 72Serbia 72Poland 71Russian Federation 70Austria 67Kazakhstan 65International average 64Romania 60Armenia 57Chile 53Turkey 52Bahrain 45United Arab Emirates 43Qatar 37Azerbaijan 35Thailand 34Georgia 33Iran, Islamic Rep. of 32Saudi Arabia 30Oman 23Tunisia 23Kuwait 18Morocco 14Yemen 3


Percentcorrect






Content Domain


Main Topic


Cognitive Domain

Knowing

Item label: Lines of symmetry complex figure

How many lines of symmetry does this figure have?

A. 1

B. 2

C. 3

D. 4


Correct Response: B



Hong Kong-CHN 81Singapore 80England-GBR 73Northern Ireland-GBR 69United States 66Malta 63Slovenia 58Ireland 57Belgium (Flemish)-BEL 54Turkey 54Lithuania 51Hungary 50Australia 50Iran, Islamic Rep. of 49Japan 48Korea, Rep. of 48Russian Federation 46Romania 46Germany 46Denmark 45Portugal 45Italy 44Chile 44International average 43Czech Republic 43Chinese Taipei-CHN 42Saudi Arabia 41Azerbaijan 41Bahrain 41Norway 40Morocco 40Thailand 39United Arab Emirates 37Austria 37New Zealand 36Kazakhstan 34Georgia 34Qatar 34Finland 33Slovak Republic 32Oman 32Kuwait 31Netherlands 30Poland 30Spain 29Armenia 29Serbia 27Sweden 23Croatia 23Tunisia 22Yemen 17


Percentcorrect

Florida-USA 79North Carolina-USA 69Ontario-CAN 66Alberta-CAN 43Quebec-CAN 40Dubai-UAE 39Abu Dhabi-UAE 37





Content Domain

DATA DISPLAY

Main Topic

Organizing and Representing

Cognitive Domain

Applying

Item label: Favorite colors of Darin’s friends

Darin asked his friends to name their favorite color. He collected the information in the table shown below.

Favorite Color Number of Friends

Red

Green

Blue

Yellow

4

2

6

7

Th en Darin started to draw a graph to show the information. Complete Darin’s graph.

Color

Num

ber o

f Frie

nds

0

2

4

6

8

10

YellowRed Green Blue

Favorite Color


SCORINGCorrect Response• Both bars drawn correctly: blue to 6, yellow to 7 (± 0.5)

Incorrect Response• One or both bars attempted but not correct• One bar correct• Other incorrect (including crossed out, erased, stray marks, illegible, or off task)



Korea, Rep. of 97Singapore 95Hong Kong-CHN 95Japan 93Northern Ireland-GBR 92Netherlands 91England-GBR 89Finland 88Germany 88Lithuania 87Ireland 87Chinese Taipei-CHN 87Belgium (Flemish)-BEL 86Australia 84Portugal 84Denmark 84Sweden 83Malta 83Hungary 83Russian Federation 81New Zealand 81Austria 80Slovenia 80Thailand 78United States 78Spain 78Slovak Republic 77Czech Republic 77Italy 77Bahrain 75Croatia 74Norway 74International average 73Turkey 73Kazakhstan 73Poland 73Qatar 70Chile 69United Arab Emirates 68Serbia 67Romania 62Saudi Arabia 60Oman 57Georgia 56Kuwait 55Iran, Islamic Rep. of 54Azerbaijan 47Armenia 41Tunisia 24Morocco 23Yemen 13


Percentcorrect





Item label: Favorite colors of Darin’s friends (continued)M031133




Red

Green

Blue

Yellow

4

2

6

7


Color

Num

ber o

f Frie

nds

0

2

4

6

8

10


Favorite Color

Incorrect Response:



Red

Green

Blue

Yellow

4

2

6

7


Color

Num

ber o

f Frie

nds

0

2

4

6

8

10


Favorite Color




Content Domain

DATA DISPLAY

Main Topic

Reading and Interpreting

Cognitive Domain

Applying

Item label: Teacher’s pens on the graph

Th e graph shows the number of blue, red, and black pens the teacher has in his desk. How many more red pens are there than black pens?

A. 2 more

B. 4 more

C. 6 more

D. 8 more

Teacher’s Pens

4 8 12 16 20

Number of Pens

Colo

r of P

ens blue

red

black


Correct Response: D



Singapore 87Chinese Taipei-CHN 85Hong Kong-CHN 83Korea, Rep. of 83Netherlands 78United States 73Northern Ireland-GBR 71Portugal 71Finland 70Japan 69Germany 69England-GBR 68Sweden 65Belgium (Flemish)-BEL 65Hungary 61Russian Federation 60Spain 60Turkey 59Denmark 59Poland 57Lithuania 57Australia 57Ireland 56Czech Republic 56Slovenia 55International average 55Serbia 53Norway 53Croatia 52Austria 52Chile 52Malta 51New Zealand 51Italy 49United Arab Emirates 46Romania 46Kazakhstan 46Slovak Republic 45Saudi Arabia 45Thailand 44Georgia 40Qatar 40Bahrain 38Oman 37Armenia 37Iran, Islamic Rep. of 37Azerbaijan 33Morocco 31Kuwait 31Yemen 28Tunisia 19


Percentcorrect

North Carolina-USA 79Florida-USA 72Ontario-CAN 67Alberta-CAN 62Quebec-CAN 62Dubai-UAE 51Abu Dhabi-UAE 45





Content Domain

DATA DISPLAY

Main Topic


Cognitive Domain

Knowing

Item label: How much the apples weigh in grams

How much do the apples weigh in grams?

A. 200

B. 202

C. 210

D. 220

050

100

150200

250

300

350grams


Correct Response: D



Korea, Rep. of 90Singapore 90Hong Kong-CHN 89Japan 88Chinese Taipei-CHN 87Netherlands 84Lithuania 78England-GBR 77Northern Ireland-GBR 75Germany 75Belgium (Flemish)-BEL 74Hungary 72Finland 71Austria 68Denmark 66United States 66Czech Republic 66Portugal 65Slovenia 63Australia 63Sweden 62Serbia 61Russian Federation 60Slovak Republic 60Norway 59Poland 57International average 56Croatia 53Ireland 52Romania 52Azerbaijan 51Kazakhstan 50Malta 50Italy 48Spain 47Chile 47Turkey 44Armenia 41New Zealand 40Georgia 39Qatar 37Thailand 36United Arab Emirates 35Bahrain 34Iran, Islamic Rep. of 33Saudi Arabia 26Kuwait 21Oman 21Morocco 19Tunisia 18Yemen 18


Percentcorrect

North Carolina-USA 68Florida-USA 65Quebec-CAN 60Alberta-CAN 50Dubai-UAE 48Ontario-CAN 45Abu Dhabi-UAE 30





Content Domain

DATA DISPLAY

Main Topic


Cognitive Domain

Knowing

Item label: Type of cookie bakery sells most

Th is chart shows the types of cookies sold by the local bakery.

Which type of cookie did the bakery sell the most of?

A. oatmeal

B. vanilla

C. chocolate chip

D. sugar

oatmeal

vanilla

sugar

chocolate chip

Cookies Sold


Correct Response: A



Korea, Rep. of 98Portugal 96Hong Kong-CHN 96Japan 95Chinese Taipei-CHN 95Netherlands 93Russian Federation 92Singapore 91Finland 91Denmark 90Northern Ireland-GBR 90United States 89Australia 89Germany 89England-GBR 88Ireland 88Austria 87Italy 87Lithuania 86Sweden 86Norway 85Croatia 84Czech Republic 84Slovenia 84Belgium (Flemish)-BEL 82Hungary 82Poland 81Slovak Republic 81New Zealand 78Spain 78International average 77Kazakhstan 74Turkey 73Chile 72Bahrain 70Malta 70Serbia 70Romania 69Iran, Islamic Rep. of 67Saudi Arabia 66Qatar 66United Arab Emirates 65Georgia 60Thailand 59Kuwait 58Oman 57Azerbaijan 56Armenia 56Tunisia 35Yemen 34Morocco 28


Percentcorrect

Florida-USA 91Ontario-CAN 91Alberta-CAN 87North Carolina-USA 87Quebec-CAN 83Dubai-UAE 73Abu Dhabi-UAE 58





Content Domain

DATA DISPLAY

Main Topic


Cognitive Domain

Reasoning

Item label: Comparing pie chart with bar chart

Which graph shows the same information as the pie chart?

A. B.

C. D.

Mr. Johnson asked the students in his school about their favorite subject.

Th is pie chart shows how many students liked each of 5 subjects.

Math Science History Gym Music

Num

ber o

f Stu

dent

s

Music

Math

Science

History

Gym

Favorite Subject

353025

20

1510

5

0

Num

ber o

f Stu

dent

s

Num

ber o

f Stu

dent

s

Num

ber o

f Stu

dent

s

Math Science History Gym Music Math Science History Gym Music

Math Science History Gym Music

353025

20

1510

5

0

353025

20

1510

5

0

353025

20

1510

5

0


Correct Response: A



Korea, Rep. of 95Japan 92Singapore 89Hong Kong-CHN 88Chinese Taipei-CHN 87Russian Federation 86Finland 84United States 83Germany 83Portugal 82Slovenia 82Denmark 81Australia 81Italy 81Netherlands 80Austria 79Northern Ireland-GBR 78Slovak Republic 78Lithuania 77Belgium (Flemish)-BEL 76England-GBR 76Hungary 76Kazakhstan 76Chile 75Turkey 75Spain 75Ireland 75New Zealand 73Poland 72Czech Republic 72Norway 72Sweden 71International average 71Romania 71Bahrain 69Malta 69Serbia 69Croatia 66Thailand 65United Arab Emirates 63Qatar 61Saudi Arabia 61Georgia 61Iran, Islamic Rep. of 55Oman 52Azerbaijan 52Kuwait 46Armenia 39Morocco 33Tunisia 32Yemen 22


Percentcorrect

Alberta-CAN 83North Carolina-USA 82Florida-USA 81Ontario-CAN 80Quebec-CAN 77Dubai-UAE 70Abu Dhabi-UAE 59





Content Domain

DATA DISPLAY

Main Topic


Cognitive Domain

Reasoning

Item label: Representing data on the bar graph

John was given the following table by his teacher and was asked to identify the graph that correctly displays the data. Which graph below should he choose?

Name SavingsSara 22 zedsPeter 15 zedsPamela 17 zedsChris 10 zeds

A.

B.

C.

D.

25

20

15

10

5

0

25

20

15

10

5

0

25

20

15

10

5

0

25

20

15

10

5

0

Savi

ngs

( in

zeds

)

Savi

ngs

( in

zeds

)

Savi

ngs

( in

zeds

)

Savi

ngs

( in

zeds

)

Sara Peter Pamela Chris





Correct Response: A



Korea, Rep. of 97Hong Kong-CHN 95Chinese Taipei-CHN 92Singapore 91Netherlands 91United States 91Japan 90Russian Federation 89Lithuania 86Finland 86Portugal 86Northern Ireland-GBR 83Belgium (Flemish)-BEL 83Germany 82England-GBR 82Slovenia 81Australia 81Italy 80Sweden 80Slovak Republic 80Czech Republic 79Hungary 78Poland 78Turkey 76Ireland 76Austria 76Croatia 76Kazakhstan 76Chile 75Spain 75Norway 74Malta 73Serbia 73New Zealand 73Denmark 72International average 72Bahrain 69Romania 67United Arab Emirates 66Thailand 62Saudi Arabia 58Qatar 58Georgia 55Oman 52Kuwait 52Iran, Islamic Rep. of 51Azerbaijan 48Armenia 46Tunisia 25Morocco 25Yemen 23


Percentcorrect

Florida-USA 91North Carolina-USA 90Quebec-CAN 86Alberta-CAN 85Ontario-CAN 85Dubai-UAE 74Abu Dhabi-UAE 61





Content Domain

DATA DISPLAY

Main Topic


Cognitive Domain

Knowing

Item label: Class with fewest choose blue

Ahmed made a survey of the favorite color of the students in 4 classes.

In which class do the fewest students choose blue?

A. Class 1

B. Class 2

C. Class 3

D. Class 4

0Red Green Blue

Class 2

10

15

5

141210 8642

0Red Green Blue

Class 4

10

15

5

0Red Green Blue

Class 3

141210 8642

0Red Green Blue

Class 1


Correct Response: B



Germany 94Austria 93Portugal 92Korea, Rep. of 92Japan 91Finland 91Hong Kong-CHN 91Singapore 91Lithuania 89Sweden 89United States 89Russian Federation 88Slovenia 88Chinese Taipei-CHN 88Croatia 86Slovak Republic 85Serbia 85Northern Ireland-GBR 85Czech Republic 85Hungary 84Spain 84Netherlands 84England-GBR 83Poland 83Ireland 82Italy 82Belgium (Flemish)-BEL 80Turkey 79Thailand 77International average 76Chile 76Denmark 76Norway 76Malta 75Kazakhstan 75Romania 73Iran, Islamic Rep. of 69Australia 69Bahrain 69United Arab Emirates 67Saudi Arabia 65New Zealand 62Georgia 62Azerbaijan 57Qatar 55Oman 52Armenia 51Kuwait 49Tunisia 49Morocco 39Yemen 24


Percentcorrect






Content Domain

DATA DISPLAY

Main Topic


Cognitive Domain

Knowing

Item label: Vanilla as favorite ice cream

a

Favorite Ice Cream Flavors

Flavor Number of Children

Vanill

Chocolate

Strawberry

Lemon

How many children chose vanilla as their favorite flavor?

Answer: ________________

stands for4 children



Incorrect Response• 3• Other incorrect (including crossed out, erased, stray marks, illegible, or off task)



Singapore 93Netherlands 89Portugal 87United States 86Hong Kong-CHN 84Korea, Rep. of 84Chinese Taipei-CHN 79England-GBR 78Japan 78Northern Ireland-GBR 75Czech Republic 74Finland 71Belgium (Flemish)-BEL 70Russian Federation 69Germany 68Slovenia 64Austria 63Australia 61Ireland 60Denmark 60Thailand 59Malta 58Lithuania 57Slovak Republic 55Poland 54New Zealand 54International average 54Italy 53Sweden 52Norway 47Azerbaijan 47Serbia 47Turkey 47Hungary 46United Arab Emirates 44Georgia 43Spain 41Romania 41Bahrain 39Kuwait 35Croatia 35Qatar 34Saudi Arabia 34Chile 34Armenia 30Kazakhstan 29Oman 20Iran, Islamic Rep. of 19Tunisia 16Morocco 10Yemen 5


Percentcorrect

North Carolina-USA 93Florida-USA 88Ontario-CAN 81Alberta-CAN 70Quebec-CAN 67Dubai-UAE 54Abu Dhabi-UAE 39





Content Domain

DATA DISPLAY

Main Topic


Cognitive Domain

Reasoning

Item label: More students in the Pine School

The graph shows the number of students at each grade in the Pine School.

In the Pine School there is room in each grade for 30 students. How many more students could be in the school?

A. 20

B. 25

C. 30

D. 35

0

35

5

15

20

25

30

10

1 3 4 5 62

Num

ber o

f Stu

dent

s

Grade

Pine School


Correct Response: D



Chinese Taipei-CHN 79Hong Kong-CHN 78Korea, Rep. of 75Netherlands 74Singapore 73Japan 71Portugal 70Norway 67Germany 67Denmark 66England-GBR 65Sweden 64Lithuania 64Ireland 64Slovenia 64Finland 63United States 63Belgium (Flemish)-BEL 62New Zealand 60Northern Ireland-GBR 59Serbia 59Australia 58Austria 57Georgia 55International average 54Russian Federation 53Malta 52Croatia 51Poland 51Slovak Republic 50Spain 50Turkey 50Chile 50Italy 49Romania 48Kazakhstan 47Hungary 47Thailand 46Czech Republic 45Iran, Islamic Rep. of 44United Arab Emirates 41Qatar 41Bahrain 39Saudi Arabia 38Oman 33Armenia 29Morocco 29Yemen 29Kuwait 26Tunisia 26Azerbaijan —

Not applicable.


Percentcorrect

North Carolina-USA 61Alberta-CAN 60Ontario-CAN 58Florida-USA 56Dubai-UAE 48Quebec-CAN 46Abu Dhabi-UAE 37

— Not applicable

timss 2011 grade 4 released mathematics items

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