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Table 418. Average mathematics scores and percentage distribution of 15-year-old students scoring at each mathematics literacy proficiency level, by country: 2009
Country or other jurisdiction Average mathemat-
ics score
Percentage distribution at levels of mathematics proficiency1
Below
Level 1
Level 1 Level 2 Level 3 Level 4 Level 5 Level 6
1 2 3 4 5 6 7 8 9
OECD total2 488 (1.2) 9.3 (0.25) 15.5 (0.33) 22.7 (0.31) 23.5 (0.24) 17.3 (0.30) 8.9 (0.24) 2.8 (0.16)
OECD average3  496 (0.5) 8.0 (0.12) 14.0 (0.13) 22.0 (0.15) 24.3 (0.17) 18.9 (0.15) 9.6 (0.12) 3.1 (0.08)
                                 
Australia 514 (2.5) 5.1 (0.33) 10.8 (0.53) 20.3 (0.61) 25.8 (0.54) 21.7 (0.56) 11.9 (0.54) 4.5 (0.56)
Austria 496 (2.7) 7.8 (0.75) 15.4 (0.90) 21.2 (0.88) 23.0 (0.89) 19.6 (0.93) 9.9 (0.70) 3.0 (0.35)
Belgium 515 (2.3) 7.7 (0.63) 11.3 (0.54) 17.5 (0.69) 21.8 (0.73) 21.3 (0.76) 14.6 (0.56) 5.8 (0.44)
Canada 527 (1.6) 3.1 (0.25) 8.3 (0.42) 18.8 (0.48) 26.5 (0.86) 25.0 (0.68) 13.9 (0.45) 4.4 (0.27)
Chile 421 (3.1) 21.7 (1.19) 29.4 (1.09) 27.3 (0.98) 14.8 (0.96) 5.6 (0.59) 1.2 (0.29) 0.1 (0.09)
                                 
Czech Republic 493 (2.8) 7.0 (0.83) 15.3 (0.82) 24.2 (1.00) 24.4 (1.09) 17.4 (0.81) 8.5 (0.64) 3.2 (0.39)
Denmark 503 (2.6) 4.9 (0.49) 12.1 (0.80) 23.0 (0.91) 27.4 (1.06) 21.0 (0.89) 9.1 (0.83) 2.5 (0.47)
Estonia 512 (2.6) 3.0 (0.42) 9.6 (0.68) 22.7 (0.86) 29.9 (0.94) 22.7 (0.81) 9.8 (0.79) 2.2 (0.43)
Finland 541 (2.2) 1.7 (0.25) 6.1 (0.45) 15.6 (0.83) 27.1 (0.95) 27.8 (0.87) 16.7 (0.79) 4.9 (0.53)
France 497 (3.1) 9.5 (0.88) 13.1 (1.07) 19.9 (0.94) 23.8 (1.12) 20.1 (1.01) 10.4 (0.72) 3.3 (0.48)
                                 
Germany 513 (2.9) 6.4 (0.63) 12.2 (0.72) 18.8 (0.88) 23.1 (0.87) 21.7 (0.92) 13.2 (0.87) 4.6 (0.46)
Greece 466 (3.9) 11.3 (1.22) 19.1 (1.01) 26.4 (1.25) 24.0 (1.05) 13.6 (0.78) 4.9 (0.56) 0.8 (0.16)
Hungary 490 (3.5) 8.1 (0.99) 14.2 (0.95) 23.2 (1.18) 26.0 (1.24) 18.4 (1.02) 8.1 (0.79) 2.0 (0.45)
Iceland 507 (1.4) 5.7 (0.43) 11.3 (0.52) 21.3 (0.88) 27.3 (0.90) 20.9 (0.90) 10.5 (0.67) 3.1 (0.40)
Ireland 487 (2.5) 7.3 (0.63) 13.6 (0.74) 24.5 (1.09) 28.6 (1.20) 19.4 (0.92) 5.8 (0.59) 0.9 (0.20)
                                 
Israel 447 (3.3) 20.5 (1.17) 18.9 (0.90) 22.5 (0.92) 20.1 (0.87) 12.0 (0.71) 4.7 (0.51) 1.2 (0.28)
Italy 483 (1.9) 9.1 (0.44) 15.9 (0.48) 24.2 (0.59) 24.6 (0.48) 17.3 (0.57) 7.4 (0.40) 1.6 (0.15)
Japan 529 (3.3) 4.0 (0.57) 8.5 (0.65) 17.4 (0.90) 25.7 (1.08) 23.5 (1.04) 14.7 (0.88) 6.2 (0.78)
Korea, Republic of 546 (4.0) 1.9 (0.49) 6.2 (0.72) 15.6 (0.99) 24.4 (1.21) 26.3 (1.30) 17.7 (0.97) 7.8 (0.96)
Luxembourg 489 (1.2) 9.6 (0.53) 14.4 (0.57) 22.7 (0.72) 23.1 (0.98) 19.0 (0.82) 9.0 (0.61) 2.3 (0.36)
                                 
Mexico 419 (1.8) 21.9 (0.79) 28.9 (0.59) 28.3 (0.61) 15.6 (0.56) 4.7 (0.36) 0.7 (0.11) # (†)
Netherlands 526 (4.7) 2.8 (0.59) 10.6 (1.33) 19.0 (1.37) 23.9 (0.98) 23.9 (1.25) 15.4 (1.18) 4.4 (0.52)
New Zealand 519 (2.3) 5.3 (0.53) 10.2 (0.54) 19.1 (0.84) 24.4 (0.88) 22.2 (0.98) 13.6 (0.74) 5.3 (0.45)
Norway 498 (2.4) 5.5 (0.50) 12.7 (0.83) 24.3 (0.93) 27.5 (1.02) 19.7 (0.86) 8.4 (0.58) 1.8 (0.34)
Poland 495 (2.8) 6.1 (0.54) 14.4 (0.75) 24.0 (0.88) 26.1 (0.77) 19.0 (0.85) 8.2 (0.61) 2.2 (0.41)
                                 
Portugal 487 (2.9) 8.4 (0.62) 15.3 (0.83) 23.9 (0.93) 25.0 (1.03) 17.7 (0.79) 7.7 (0.63) 1.9 (0.35)
Slovak Republic 497 (3.1) 7.0 (0.68) 14.0 (0.79) 23.2 (1.08) 25.0 (1.54) 18.1 (1.24) 9.1 (0.69) 3.6 (0.63)
Slovenia 501 (1.2) 6.5 (0.40) 13.8 (0.60) 22.5 (0.67) 23.9 (0.69) 19.0 (0.79) 10.3 (0.57) 3.9 (0.36)
Spain 483 (2.1) 9.1 (0.48) 14.6 (0.58) 23.9 (0.58) 26.6 (0.63) 17.7 (0.62) 6.7 (0.39) 1.3 (0.16)
Sweden 494 (2.9) 7.5 (0.65) 13.6 (0.72) 23.4 (0.81) 25.2 (0.75) 19.0 (0.88) 8.9 (0.64) 2.5 (0.35)
                                 
Switzerland 534 (3.3) 4.5 (0.40) 9.0 (0.65) 15.9 (0.63) 23.0 (0.92) 23.5 (0.80) 16.3 (0.78) 7.8 (0.75)
Turkey 445 (4.4) 17.7 (1.35) 24.5 (1.11) 25.2 (1.18) 17.4 (1.07) 9.6 (0.90) 4.4 (0.91) 1.3 (0.46)
United Kingdom 492 (2.4) 6.2 (0.46) 14.0 (0.71) 24.9 (0.88) 27.2 (1.10) 17.9 (0.96) 8.1 (0.63) 1.8 (0.27)
United States 487 (3.6) 8.1 (0.72) 15.3 (0.98) 24.4 (0.97) 25.2 (0.95) 17.1 (0.93) 8.0 (0.85) 1.9 (0.46)
                                 
Reporting partner countries                                
Albania 377 (4.0) 40.5 (1.76) 27.2 (1.22) 20.2 (1.25) 9.1 (0.85) 2.6 (0.58) 0.4 (0.16) # (†)
Argentina 388 (4.1) 37.2 (1.75) 26.4 (1.11) 20.8 (1.09) 10.9 (0.95) 3.9 (0.66) 0.8 (0.26) 0.1 (0.07)
Azerbaijan 431 (2.8) 11.5 (0.96) 33.8 (1.24) 35.3 (1.29) 14.8 (1.04) 3.6 (0.51) 0.9 (0.34) 0.2 (0.12)
Brazil 386 (2.4) 38.1 (1.25) 31.0 (0.91) 19.0 (0.75) 8.1 (0.64) 3.0 (0.32) 0.7 (0.19) 0.1 (0.05)
Bulgaria 428 (5.9) 24.5 (1.91) 22.7 (1.08) 23.4 (1.11) 17.5 (1.36) 8.2 (0.90) 3.0 (0.70) 0.8 (0.36)
                                 
Colombia 381 (3.2) 38.8 (2.02) 31.6 (1.30) 20.3 (1.28) 7.5 (0.66) 1.6 (0.33) 0.1 (0.06) # (†)
Croatia 460 (3.1) 12.4 (0.85) 20.8 (0.94) 26.7 (0.83) 22.7 (0.97) 12.5 (0.84) 4.3 (0.51) 0.6 (0.22)
Dubai (United Arab Emirates) 453 (1.1) 17.6 (0.49) 21.2 (0.59) 23.0 (0.79) 19.6 (0.63) 12.1 (0.55) 5.3 (0.39) 1.2 (0.19)
Hong Kong-China 555 (2.7) 2.6 (0.40) 6.2 (0.53) 13.2 (0.67) 21.9 (0.84) 25.4 (0.91) 19.9 (0.82) 10.8 (0.78)
Indonesia 371 (3.7) 43.5 (2.21) 33.1 (1.54) 16.9 (1.14) 5.4 (0.91) 0.9 (0.32) 0.1 (0.05) (†)
                                 
Jordan 387 (3.7) 35.4 (1.67) 29.9 (1.20) 22.9 (1.03) 9.5 (0.94) 2.13 (0.44) 0.3 (0.17) # (†)
Kazakhstan 405 (3.0) 29.6 (1.31) 29.6 (0.94) 23.5 (0.88) 12.0 (0.80) 4.2 (0.48) 0.9 (0.29) 0.3 (0.19)
Kyrgyzstan 331 (2.9) 64.8 (1.43) 21.8 (0.98) 9.3 (0.76) 3.3 (0.51) 0.7 (0.24) # (†) (†)
Latvia 482 (3.1) 5.8 (0.69) 16.7 (1.15) 27.2 (1.04) 28.2 (1.08) 16.4 (1.01) 5.1 (0.50) 0.6 (0.15)
Liechtenstein 536 (4.1) 3.0 (0.99) 6.5 (1.61) 15.0 (2.18) 26.2 (2.26) 31.2 (3.25) 13.0 (2.45) 5.0 (1.42)
                                 
Lithuania 477 (2.6) 9.0 (0.79) 17.3 (0.85) 26.1 (1.10) 25.3 (0.98) 15.4 (0.77) 5.7 (0.56) 1.3 (0.26)
Macao-China 525 (0.9) 2.8 (0.25) 8.2 (0.46) 19.6 (0.58) 27.8 (0.90) 24.5 (0.78) 12.8 (0.43) 4.3 (0.28)
Montenegro 403 (2.0) 29.6 (1.07) 28.8 (1.00) 24.6 (1.04) 12.2 (0.68) 3.8 (0.35) 0.9 (0.20) 0.1 (0.05)
Panama 360 (5.2) 51.5 (2.90) 27.3 (1.72) 13.9 (1.51) 5.6 (0.92) 1.4 (0.36) 0.4 (0.22) # (†)
Peru 365 (4.0) 47.6 (1.81) 25.9 (1.16) 16.9 (1.26) 6.8 (0.70) 2.1 (0.43) 0.5 (0.18) 0.1 (0.06)
                                 
Qatar 368 (0.7) 51.1 (0.56) 22.7 (0.64) 13.1 (0.48) 7.2 (0.35) 4.2 (0.25) 1.5 (0.17) 0.3 (0.08)
Romania 427 (3.4) 19.5 (1.42) 27.5 (1.15) 28.6 (1.39) 17.3 (1.02) 5.9 (0.77) 1.2 (0.33) 0.1 (0.08)
Russian Federation 468 (3.3) 9.5 (0.92) 19.0 (1.16) 28.5 (1.03) 25.0 (1.00) 12.7 (0.87) 4.3 (0.57) 1.0 (0.27)
Serbia 442 (2.9) 17.6 (1.04) 22.9 (0.84) 26.5 (1.07) 19.9 (0.97) 9.5 (0.62) 2.9 (0.41) 0.6 (0.18)
Shanghai-China 600 (2.8) 1.4 (0.26) 3.4 (0.38) 8.7 (0.63) 15.2 (0.79) 20.8 (0.79) 23.8 (0.80) 26.6 (1.19)
                                 
Singapore 562 (1.4) 3.0 (0.26) 6.8 (0.57) 13.1 (0.56) 18.7 (0.80) 22.8 (0.62) 20.0 (0.87) 15.6 (0.63)
Chinese Taipei 543 (3.4) 4.2 (0.48) 8.6 (0.65) 15.5 (0.68) 20.9 (0.88) 22.2 (0.86) 17.2 (0.92) 11.3 (1.16)
Thailand 419 (3.2) 22.1 (1.37) 30.4 (0.92) 27.3 (1.09) 14.0 (0.85) 4.9 (0.57) 1.0 (0.27) 0.3 (0.22)
Trinidad and Tobago 414 (1.3) 30.1 (0.79) 23.1 (0.97) 21.2 (0.89) 15.4 (0.63) 7.7 (0.44) 2.1 (0.25) 0.3 (0.15)
Tunisia 371 (3.0) 43.4 (1.66) 30.2 (1.46) 18.7 (0.90) 6.1 (0.69) 1.3 (0.44) 0.2 (0.16) # (†)
Uruguay 427 (2.6) 22.9 (1.16) 24.6 (1.08) 25.1 (0.99) 17.0 (0.73) 7.9 (0.55) 2.1 (0.34) 0.3 (0.12)
†Not applicable.
#Rounds to zero.
‡Reporting standards not met.
1 Level 1: Able to answer questions involving familiar contexts where all relevant information is present and the questions are clearly defined. Level 2: Able to interpret and recognize situations in contexts that require no more than direct inference; extract relevant information from a single source; employ basic algorithms, formulae, procedures, or conventions; and employ direct reasoning for literal interpretations of results. Level 3: Able to execute clearly described procedures; select and apply simple problem-solving strategies; interpret and use representations based on different information sources; and develop short communications reporting one's interpretations, results, and reasoning. Level 4: Able to work effectively with explicit models for complex concrete situations that may involve constraints or call for making assumptions, select and integrate different representations, reason with some insight, and construct and communicate explanations and arguments based on one's interpretations and actions. Level 5: Able to develop and work with models for complex situations; select and evaluate appropriate problem-solving strategies; work strategically using broad, well-developed thinking and reasoning skills; and communicate one's interpretations and reasoning. Level 6: Able to conceptualize, generalize, and utilize information; link different information sources and representations; perform advanced mathematical thinking and reasoning; develop new approaches and strategies for attacking novel situations; and formulate and precisely communicate actions and reflections regarding findings and interpretations.
2 Illustrates how a country compares with the OECD area as a whole. Computed by taking the OECD countries as a single entity to which each country contributes in proportion to the number of 15-year-olds enrolled in its schools.
3 Refers to the mean of the data values for all OECD countries, to which each country contributes equally, regardless of the absolute size of the student population of each country.
NOTE: PISA scores are reported on a scale from 0 to 1,000. Detail may not sum to totals because of rounding. Standard errors appear in parentheses.
SOURCE: Organization for Economic Cooperation and Development (OECD), Program for International Student Assessment (PISA), 2009, PISA 2009 Results: What Students Know and Can Do—Student Performance in Reading, Mathematics and Science (Volume I). (This table was prepared December 2010.)

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