## Mathematics for Grades 4 and 8: Percentiles

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.

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

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