Table 116. Percent of students at or above selected mathematics proficiency levels,\1\ by race/ethnicity and age: 1978 to 1992

 ```___________________________________________________________________________________________________________________________________________ | 9-year-olds\2\ | 13-year-olds\3\ | 17-year-olds\3\ |______________________________________|__________________________________________|__________________________________________ |Simple|Beginning|Numerical |Moderately|Beginning|Numerical |Moderately|Multi-step|Beginning|Numerical |Moderately|Multi-step Race/ethnicity|arith-| skills |operations| complex | skills |operations| complex | problem | skills |operations| complex | problem and year |metic | and | and |procedures| and | and |procedures| solving | and | and |procedures| solving |facts | under- |beginning | and | under- |beginning | and | and | under- |beginning | and | and | |standing | problem |reasoning |standing | problem |reasoning | algebra |standing | problem |reasoning | algebra | | | solving | | | solving | | | | solving | | ______________|______|_________|__________|__________|_________|__________|__________|__________|_________|__________|__________|__________ 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 ______________|______|_________|__________|__________|_________|__________|__________|__________|_________|__________|__________|__________ | | | | | | | | | | | | All students | | | | | | | | | | | | 1978 ...... | 96.7 | 70.4 | 19.6 | 0.8 | 94.6 | 64.9 | 18.0 | 1.0 | 99.8 | 92.0 | 51.5 | 7.3 1982 ...... | 97.1 | 71.4 | 18.8 | 0.6 | 97.7 | 71.4 | 17.4 | 0.5 | 99.9 | 93.0 | 48.5 | 5.5 1986 .......| 97.9 | 74.1 | 21.0 | 0.6 | 98.6 | 73.3 | 15.8 | 0.4 | 99.9 | 95.6 | 51.7 | 6.5 1990 .......| 99.1 | 81.5 | 27.7 | 1.2 | 98.0 | 74.7 | 17.3 | 0.4 | 100.0 | 96.0 | 56.1 | 7.2 1992 .......| 99.0 | 81.0 | 28.0 | 1.2 | 99.0 | 78.0 | 19.0 | 0.4 | 100.0 | 97.0 | 59.0 | 7.0 | | | | | | | | | | | | White\4\ | | | | | | | | | | | | 1978 ......| 98.3 | 76.3 | 22.9 | 0.9 | 97.6 | 72.9 | 21.4 | 1.2 | 100.0 | 95.6 | 57.6 | 8.0 1982 ......| 98.5 | 76.8 | 21.8 | 0.6 | 99.1 | 78.3 | 20.5 | 0.6 | 100.0 | 96.2 | 54.7 | 6.4 1986 ..... | 98.8 | 79.6 | 24.6 | 0.8 | 99.3 | 78.9 | 18.6 | 0.4 | 100.0 | 98.0 | 59.1 | 7.9 1990 ..... | 99.6 | 86.9 | 32.7 | 1.5 | 99.4 | 82.0 | 21.0 | 0.4 | 100.0 | 97.6 | 63.2 | 8.3 1992 ......|100.0 | 87.0 | 32.0 | 1.4 | 100.0 | 85.0 | 23.0 | 0.4 | 100.0 | 98.0 | 66.0 | 9.0 | | | | | | | | | | | | Black\4\ | | | | | | | | | | | | 1978 ......| 88.4 | 42.0 | 4.1 | 0.0 | 79.7 | 28.7 | 2.3 | 0.0 | 98.8 | 70.7 | 16.8 | 0.5 1982 ......| 90.2 | 46.1 | 4.4 | 0.0 | 90.2 | 37.9 | 2.9 | 0.0 | 99.7 | 76.4 | 17.1 | 0.5 1986 ..... | 93.9 | 53.4 | 5.6 | 0.1 | 95.4 | 49.0 | 4.0 | 0.1 | 100.0 | 85.6 | 20.8 | 0.2 1990 ..... | 96.9 | 60.0 | 9.4 | 0.1 | 95.4 | 48.7 | 3.9 | 0.1 | 99.9 | 92.4 | 32.8 | 2.0 1992 ..... | 97.0 | 60.0 | 10.0 | 0.1 | 95.0 | 51.0 | 4.0 | 0.1 | 100.0 | 90.0 | 30.0 | 0.9 | | | | | | | | | | | | Hispanic | | | | | | | | | | | | 1978 ......| 93.0 | 54.2 | 9.2 | 0.2 | 86.4 | 36.0 | 4.0 | 0.1 | 99.3 | 78.3 | 23.4 | 1.4 1982 ......| 94.3 | 55.7 | 7.8 | 0.0 | 95.9 | 52.2 | 6.3 | 0.0 | 99.8 | 81.4 | 21.6 | 0.7 1986 ..... | 96.4 | 57.6 | 7.3 | 0.1 | 96.9 | 56.0 | 5.5 | 0.2 | 99.4 | 89.3 | 26.5 | 1.1 1990 ..... | 98.0 | 68.4 | 11.3 | 0.2 | 96.8 | 56.7 | 6.4 | 0.1 | 99.6 | 85.8 | 30.1 | 1.9 1992 ..... | 97.0 | 65.0 | 12.0 | 0.1 | 98.0 | 63.0 | 7.0 | 0.0 | 100.0 | 94.0 | 39.0 | 1.0 ______________|______|_________|__________|__________|_________|__________|__________|__________|_________|__________|__________|__________ ```

 \1\As measured by the National Assessment of Educational Progress (NAEP). \2\Virtually no students were able to perform multi-step problems and algebra. \3\Virtually all students knew simple arithmetic facts. Data are only for students enrolled in school. \4\Excludes persons of Hispanic origin. SOURCE: U.S. Department of Education, National Center for Education Statistics, National Assessment of Educational Progress, NAEP 1992 Trends in Academic Progress, prepared by Educational Testing Service. (This table was prepared May 1994.)