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Mathematics for Grades 4 and 8: Percentiles

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Table 7. Cut scores of 4th-grade students at the 10th, 25th, 75th, and 90th percentiles in mathematics, by education system: 2015
Education system Percentile
10th 25th 75th 90th
Cut score s.e. Cut score s.e. Cut score s.e. Cut score s.e.

higher icon Percentile cut score is higher than U.S. percentile cut score at the .05 level of statistical significance.

lower icon Percentile cut score is lower than U.S. percentile cut score at the .05 level of statistical significance.

1 National Defined Population covers 90 to 95 percent of the National Target Population.

2 Met guidelines for sample participation rate only after replacement schools were included.

3 National Target Population does not include all of the International Target Population.

4 Reservations about reliability because the percentage of students with achievement too low for estimation exceeds 15 percent but does not exceed 25 percent.

5 Nearly satisfied guidelines for sample participation rates after replacement schools were included.

6 The number in parentheses indicates years of school not grade in schooling.

7 National Defined Population covers less than 90 percent of the National Target Population (but at least 77 percent).

8 Did not satisfy guidelines for sample participation rates.

NOTE: Education systems that are not countries are designated by the appended three-letter international abbreviation for their country. Participants that did not administer TIMSS at the target grade are not shown; see the international report for their results. U.S. state data are based on public school students only. Standard error is abbreviated as s.e. For TIMSS 2015, Norway revised its assessed population to students in their 5th and 9th years of schooling to obtain better comparisons with Sweden and Finland. However, in previous TIMSS cycles Norway assessed students in their 4th and 8th years of schooling, which were defined as 4th and 8th grades but have been redefined as 3rd and 7th grades because year 1 in Norway is now considered the equivalent of a year of kindergarten. To maintain trend with previous TIMSS cycles, in 2015 Norway also collected data from students in their 4th and 8th years of schooling, which is used in trend tables.

SOURCE: International Association for the Evaluation of Educational Achievement (IEA), Trends in International Mathematics and Science Study (TIMSS), 2015.

Australia 408 lower 4.9 462 lower 4.0 575 lower 3.5 622 lower 3.8
Bahrain1 335 lower 4.5 393 lower 2.5 512 lower 1.9 561 lower 2.1
Belgium (Flemish)-BEL2 468 higher 3.5 505 higher 2.7 587 lower 2.7 624 lower 3.0
Bulgaria 413 9.6 475 7.1 581 lower 4.9 624 lower 5.9
Canada1, 2, 3 413 lower 4.5 462 lower 2.9 562 lower 2.4 604 lower 2.7
Chile 363 lower 3.8 408 lower 4.3 509 lower 2.9 551 lower 2.8
Chinese Taipei-CHN 505 higher 3.3 552 higher 2.9 645 higher 2.8 685 higher 2.8
Croatia 415 lower 3.9 460 lower 2.3 548 lower 2.4 584 lower 2.5
Cyprus 415 lower 4.6 471 lower 4.0 579 lower 3.3 623 lower 3.1
Czech Republic 437 2.8 484 3.3 576 lower 2.4 616 lower 3.0
Denmark1, 2 440 5.3 490 3.7 591 3.4 633 4.1
England-GBR 438 5.1 490 3.9 602 3.7 651 higher 3.6
Finland 448 higher 3.5 492 2.8 582 lower 2.3 619 lower 2.7
France 390 lower 4.6 438 lower 4.1 540 lower 3.7 584 lower 4.1
Georgia3 347 lower 6.8 408 lower 6.2 524 lower 4.1 570 lower 5.8
Germany 437 4.1 479 2.7 566 lower 2.2 604 lower 3.0
Hong Kong-CHN2 531 higher 5.0 573 higher 3.8 659 higher 3.1 696 higher 4.1
Hungary 412 lower 6.7 475 5.4 591 2.9 635 2.7
Indonesia 280 lower 5.2 339 lower 4.5 461 lower 3.8 509 lower 3.5
Iran, Islamic Republic of 290 lower 7.1 367 lower 5.1 504 lower 3.3 555 lower 2.6
Ireland-GBR 451 higher 4.4 501 higher 3.6 598 3.6 636 4.0
Italy1 413 lower 4.8 461 lower 4.3 556 lower 2.9 596 lower 2.6
Japan 505 higher 2.6 549 higher 2.0 639 higher 2.6 680 higher 3.2
Jordan 240 lower 6.7 320 lower 4.9 465 lower 3.5 518 lower 4.3
Kazakhstan 440 4.3 487 4.7 599 5.2 650 6.6
Korea, Republic of 522 higher 3.0 565 higher 2.9 653 higher 2.4 691 higher 3.8
Kuwait4 217 lower 5.7 281 lower 5.9 426 lower 4.9 487 lower 6.3
Lithuania1 441 5.1 489 3.8 584 lower 2.9 624 lower 4.7
Morocco 253 lower 4.4 311 lower 3.6 445 lower 4.6 504 lower 4.6
Netherlands2 457 higher 2.7 492 higher 2.4 569 lower 2.0 601 lower 2.7
New Zealand 371 lower 4.6 432 lower 4.1 553 lower 2.0 602 lower 3.2
Northern Ireland-GBR5 456 higher 5.3 514 higher 4.2 630 higher 3.1 675 higher 3.3
Norway (5)6 459 higher 5.6 504 higher 3.3 597 2.6 638 3.5
Oman 293 lower 4.4 356 lower 3.5 496 lower 2.6 553 lower 3.5
Poland 441 4.0 487 3.1 585 lower 2.4 624 lower 2.6
Portugal1 447 higher 3.9 492 2.9 592 3.0 632 3.1
Qatar 312 lower 4.9 372 lower 4.8 506 lower 3.9 563 lower 6.8
Russian Federation 470 higher 5.4 517 higher 3.7 613 higher 4.2 656 higher 5.8
Saudi Arabia4 264 lower 6.3 321 lower 4.7 446 lower 4.2 502 lower 5.4
Serbia7 403 lower 7.4 466 lower 4.8 577 lower 3.5 625 lower 3.6
Singapore1 502 higher 8.6 566 higher 5.2 677 higher 3.8 722 higher 3.8
Slovak Republic 391 lower 5.2 450 lower 3.7 552 lower 2.3 593 lower 3.4
Slovenia 430 3.3 476 lower 2.7 568 lower 2.4 605 lower 2.9
Spain1 414 lower 4.8 459 lower 3.5 554 lower 2.1 592 lower 2.3
Sweden1 428 4.9 475 lower 3.9 567 lower 3.2 604 lower 3.1
Turkey 354 lower 6.6 424 lower 4.7 551 lower 3.3 598 lower 3.6
United Arab Emirates 312 lower 3.5 377 lower 3.1 527 lower 3.2 587 lower 3.4
United States1, 2 432 3.1 485 2.4 596 2.3 640 2.6
Benchmarking participants
Abu Dhabi-UAE1, 4 279 lower 6.1 338 lower 5.7 499 lower 7.5 561 lower 7.5
Buenos Aires-ARG 325 lower 4.5 377 lower 4.1 490 lower 3.1 534 lower 2.8
Dubai-UAE 385 lower 3.0 450 lower 2.4 576 lower 2.6 627 lower 2.5
Florida-USA3 443 6.9 494 6.3 600 6.1 647 7.5
Ontario-CAN 417 lower 4.4 464 lower 3.1 562 lower 2.9 604 lower 3.5
Quebec-CAN8 451 higher 5.2 492 5.1 580 lower 4.2 620 lower 6.2