## Mathematics for Grades 4 and 8: Percentiles

Table 8. Cut scores of 8th-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 Target Population does not include all of the International Target Population.

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

3 Reservations about reliability because the percent of students with achievement too low to estimate exceeds 15 percent but does not exceed 25 percent.

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

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

6 Reservations about reliability because the percent of students with achievement too low to estimate exceeds 25 percent.

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

8 Did not satisfy guidelines for sample participation.

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 397 5.8 449 4.3 563 3.3 610 4.2
Bahrain 352 2.8 399 2.0 507 2.0 557 3.4
Canada1, 2 434 3.1 482 3.0 576 2.1 613 2.4
Chile3 323 5.1 372 4.3 482 3.3 531 4.4
Chinese Taipei-CHN 459 3.8 539 3.3 669 3.2 714 3.7
Egypt3 265 5.8 322 4.9 463 5.0 521 4.9
England-GBR 414 5.5 460 6.2 577 5.1 624 4.1
Georgia1, 4 331 5.0 390 4.4 520 4.4 570 3.5
Hong Kong-CHN 489 9.3 550 5.1 647 4.6 686 5.0
Hungary 390 6.8 452 4.5 582 4.2 632 5.3
Iran, Islamic Republic of3 316 5.3 369 4.8 501 5.8 560 7.2
Ireland 426 6.0 478 3.4 574 2.6 612 4.0
Israel5 371 5.8 441 5.8 586 4.6 637 3.9
Italy4 397 4.4 445 3.9 547 3.1 588 3.5
Japan 470 4.5 529 3.0 647 3.2 699 3.7
Jordan6 263 4.6 321 4.1 452 3.1 505 3.9
Kazakhstan 404 6.1 463 6.3 593 7.2 645 7.2
Korea, Republic of 491 4.2 551 3.8 665 3.0 711 3.6
Kuwait3 279 5.8 330 4.3 452 5.9 512 10.1
Lebanon 345 4.9 390 5.5 497 3.5 539 3.7
Lithuania4 409 5.3 458 2.8 568 2.8 608 4.1
Malaysia 353 5.2 402 4.8 528 4.0 580 3.3
Malta 370 2.7 436 2.2 558 1.7 601 1.7
Morocco6 284 3.4 329 2.5 438 2.6 492 3.2
New Zealand2 378 5.8 433 4.3 555 3.2 605 4.6
Norway (9)7 420 3.6 465 3.6 560 2.4 600 3.3
Oman3 278 4.2 339 2.7 470 3.1 527 2.9
Qatar3 305 4.5 363 4.0 509 3.4 572 4.7
Russian Federation 429 5.7 483 5.9 594 4.9 641 4.9
Saudi Arabia6 261 7.4 309 5.1 425 5.0 480 6.9
Singapore4 505 7.9 572 5.2 680 2.4 715 2.1
Slovenia 425 5.8 470 2.8 564 2.6 605 3.0
Sweden 406 6.0 452 3.4 553 3.7 590 3.5
Thailand 322 4.5 369 5.1 486 5.9 549 8.7
Turkey 324 6.1 385 5.1 531 5.9 599 7.1
United Arab Emirates 336 3.0 395 2.4 535 2.4 591 3.3
United States2 408 4.5 461 3.4 577 3.6 624 4.4
Benchmarking participants
Abu Dhabi-UAE 315 7.3 370 5.1 512 5.7 571 8.5
Buenos Aires-ARG2, 6 280 5.9 332 6.3 462 5.6 513 4.9
Dubai-UAE 390 3.3 451 2.8 576 4.0 624 3.9
Florida-USA1 376 8.3 431 8.5 557 5.9 608 8.9
Ontario-CAN 428 3.7 475 3.3 572 3.0 610 4.1
Quebec-CAN8 459 7.3 502 5.6 587 3.8 623 3.5