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Digest of Education Statistics
1998 Tables and Figures All Years of Tables and Figures Most Recent Full Issue of the Digest

Table 121. -  Percent of students at or above selected mathematics proficiency levels,\1\ by sex, race/ethnicity, control of school, and age: and age: 1978 to 1996
________________________________________________________________________________________________________________________________________________
  Sex,  |               9-year-olds\2\                |          13-year-olds\3\                  |                 17-year-olds\3\
 race/  |_____________________________________________|___________________________________________|_____________________________________________
 ethni- |  Simple  |Beginning |Numerical |Moderately  |Beginning |Numerical |Moderately|Multi-step|Beginning  |Numerical |Moderately |Multi-step
 city,  |  arith-  |  skills  |operations|complex     |  skills  |operations|complex   |problem   |skills     |operations|complex    |problem
  con-  |  metic   |  and     | and      |procedures  |  and     | and      |procedures|solving   | and       | and      |procedures |solving
 trol,  | facts\4\ |  under-  |beginning | and        |  under-  |beginning |   and    | and      |under-     |beginning | and       | and
  and   |          |  stand-  |problem   |reasoning\7\|  stand-  |problem   | reason-  |algebra\8\|standing\5\|problem   | reason-   |algebra\8\
  year  |          |  ing\5\  |solving\6\|            |  ing\5\  |solving\6\|  ing\7\  |          |           |solving\6\|  ing\7\   |
________|__________|__________|__________|____________|__________|__________|__________|__________|___________|__________|___________|__________
   1    |  2       |  3       |  4       |  5         |  6       |  7       |  8       |  9       |  10       | 11       | 12        | 13
________|__________|__________|__________|____________|__________|__________|__________|__________|___________|__________|___________|__________
 Total  |          |          |          |            |          |          |          |          |           |          |           |
1978 ...|96.7 (0.3)|70.4 (0.9)|19.6 (0.7)|  0.8  (0.1)|94.6 (0.5)|64.9 (1.2)|18.0 (0.7)| 1.0 (0.2)| 99.8 (0.1)|92.0 (0.5)|51.5  (1.1)| 7.3 (0.4)
1982 ...|97.1 (0.3)|71.4 (1.2)|18.8 (1.0)|  0.6  (0.1)|97.7 (0.4)|71.4 (1.2)|17.4 (0.9)| 0.5 (0.1)| 99.9 (0.0)|93.0 (0.5)|48.5  (1.3)| 5.5 (0.4)
1986 ...|97.9 (0.3)|74.1 (1.2)|20.7 (0.9)|  0.6  (0.2)|98.6 (0.2)|73.3 (1.6)|15.8 (1.0)| 0.4 (0.1)| 99.9  --- |95.6 (0.5)|51.7  (1.4)| 6.5 (0.5)
1990 ...|99.1 (0.2)|81.5 (1.0)|27.7 (0.9)|  1.2  (0.3)|98.5 (0.2)|74.7 (1.0)|17.3 (1.0)| 0.4 (0.1)|100.0  --- |96.0 (0.5)|56.1  (1.4)| 7.2 (0.6)
1992 ...|99.0 (0.2)|81.4 (0.8)|27.8 (0.9)|  1.2  (0.3)|98.7 (0.3)|77.9 (1.1)|18.9 (1.0)| 0.4 (0.2)|100.0  --- |96.6 (0.5)|59.1  (1.3)| 7.2 (0.6)
1994 ...|99.0 (0.2)|82.0 (0.7)|29.9 (1.1)|  1.3  (0.4)|98.5 (0.3)|78.1 (1.1)|21.3 (1.4)| 0.6 (0.2)|100.0  --- |96.5 (0.5)|58.6  (1.4)| 7.4 (0.8)
1996 ...|99.1 (0.2)|81.5 (0.8)|29.7 (1.0)|  1.6  (0.3)|98.8 (0.2)|78.6 (0.9)|20.6 (1.2)| 0.6 (0.1)|100.0  --- |96.8 (0.4)|60.1  (1.7)| 7.4 (0.8)
        |          |          |          |            |          |          |          |          |           |          |           |
  Male  |          |          |          |            |          |          |          |          |           |          |           |
1978 ...|96.2 (0.5)|68.9 (1.0)|19.2 (0.6)|  0.7  (0.2)|93.9 (0.5)|63.9 (1.3)|18.4 (0.9)| 1.1 (0.2)| 99.9 (0.1)|93.0 (0.5)|55.1  (1.2)| 9.5 (0.6)
1982 ...|96.5 (0.5)|68.8 (1.3)|18.1 (1.1)|  0.6  (0.1)|97.5 (0.6)|71.3 (1.4)|18.9 (1.2)| 0.7 (0.2)|100.0  --- |93.9 (0.6)|51.9  (1.5)| 6.9 (0.7)
1986 ...|98.0 (0.5)|74.0 (1.4)|20.9 (1.1)|  0.7  (0.3)|98.5 (0.3)|73.8 (1.8)|17.6 (1.1)| 0.5 (0.2)| 99.9  --- |96.1 (0.6)|54.6  (1.8)| 8.4 (0.9)
1990 ...|99.0 (0.3)|80.6 (1.0)|27.5 (1.0)|  1.3  (0.4)|98.2 (0.3)|75.1 (1.8)|19.0 (1.2)| 0.5 (0.2)| 99.9  --- |95.8 (0.8)|57.6  (1.4)| 8.8 (0.8)
1992 ...|99.0 (0.3)|81.9 (1.0)|29.4 (1.2)|  1.4  (0.3)|98.8 (0.4)|78.1 (1.6)|20.7 (1.1)| 0.5 (0.2)|100.0  --- |96.9 (0.6)|60.5  (1.8)| 9.1 (0.7)
1994 ...|99.1 (0.3)|82.3 (0.9)|31.5 (1.6)|  1.4  (0.4)|98.3 (0.4)|78.9 (1.5)|23.9 (1.6)| 0.8 (0.3)|100.0  --- |97.3 (0.6)|60.2  (2.1)| 9.3 (1.0)
1996 ...|99.1 (0.2)|82.5 (1.1)|32.7 (1.7)|  2.0  (0.5)|98.7 (0.3)|79.8 (1.4)|23.0 (1.6)| 0.8 (0.2)|100.0  --- |97.0 (0.7)|62.7  (1.8)| 9.5 (1.3)
        |          |          |          |            |          |          |          |          |           |          |           |
 Female |          |          |          |            |          |          |          |          |           |          |           |
1978 ...|97.2 (0.3)|72.0 (1.1)|19.9 (1.0)|  0.8  (0.2)|95.2 (0.5)|65.9 (1.2)|17.5 (0.7)| 0.9 (0.2)| 99.7 (0.1)|91.0 (0.6)|48.2  (1.3)| 5.2 (0.7)
1982 ...|97.6 (0.3)|74.0 (1.3)|19.6 (1.1)|  0.5  (0.1)|98.0 (0.3)|71.4 (1.3)|15.9 (1.0)| 0.4 (0.2)| 99.9 (0.0)|92.1 (0.6)|45.3  (1.4)| 4.1 (0.4)
1986 ...|97.8 (0.4)|74.3 (1.3)|20.6 (1.3)|  0.6  (0.3)|98.6 (0.3)|72.7 (1.9)|14.1 (1.3)| 0.3 (0.1)|100.0  --- |95.1 (0.7)|48.9  (1.7)| 4.7 (0.6)
1990 ...|99.1 (0.3)|82.3 (1.3)|27.9 (1.3)|  1.0  (0.3)|98.9 (0.2)|74.4 (1.3)|15.7 (1.0)| 0.2 (0.1)|100.0  --- |96.2 (0.8)|54.7  (1.8)| 5.6 (0.8)
1992 ...|99.0 (0.3)|80.9 (1.1)|26.3 (1.5)|  1.0  (0.4)|98.6 (0.2)|77.7 (1.1)|17.2 (1.4)| 0.3  --- |100.0  --- |96.3 (0.8)|57.7  (1.6)| 5.2 (0.8)
1994 ...|98.9 (0.3)|81.7 (0.9)|28.3 (1.3)|  1.1  (0.4)|98.7 (0.3)|77.3 (1.0)|18.7 (1.4)| 0.5 (0.3)|100.0  --- |96.0 (0.6)|57.2  (1.4)| 5.5 (0.9)
1996 ...|99.1 (0.4)|80.7 (0.9)|26.7 (1.1)|  1.2  (0.4)|98.8 (0.3)|77.4 (1.1)|18.4 (1.5)| 0.5 (0.2)|100.0  --- |96.7 (0.6)|57.6  (2.2)| 5.3 (0.8)
        |          |          |          |            |          |          |          |          |           |          |           |
 White, |          |          |          |            |          |          |          |          |           |          |           |
non-His-|          |          |          |            |          |          |          |          |           |          |           |
 panic  |          |          |          |            |          |          |          |          |           |          |           |
1978 ...|98.3 (0.2)|76.3 (1.0)|22.9 (0.9)|  0.9  (0.2)|97.6 (0.3)|72.9 (0.9)|21.4 (0.7)| 1.2 (0.2)|100.0  --- |95.6 (0.3)|57.6  (1.1)| 8.5 (0.5)
1982 ...|98.5 (0.3)|76.8 (1.2)|21.8 (1.1)|  0.6  (0.1)|99.1 (0.1)|78.3 (0.9)|20.5 (1.0)| 0.6 (0.1)|100.0  --- |96.2 (0.3)|54.7  (1.4)| 6.4 (0.5)
1986 ...|98.8 (0.2)|79.6 (1.3)|24.6 (1.0)|  0.8  (0.3)|99.3 (0.3)|78.9 (1.7)|18.6 (1.2)| 0.4 (0.1)|100.0  --- |98.0 (0.4)|59.1  (1.7)| 7.9 (0.7)
1990 ...|99.6 (0.2)|86.9 (0.9)|32.7 (1.0)|  1.5  (0.4)|99.4 (0.1)|82.0 (1.0)|21.0 (1.2)| 0.4 (0.2)|100.0  --- |97.6 (0.3)|63.2  (1.6)| 8.3 (0.7)
1992 ...|99.6 (0.1)|86.9 (0.7)|32.4 (1.0)|  1.4  (0.3)|99.6 (0.2)|84.9 (1.1)|22.8 (1.3)| 0.4 (0.2)|100.0  --- |98.3 (0.4)|66.4  (1.4)| 8.7 (0.9)
1994 ...|99.6 (0.2)|87.0 (0.8)|35.3 (1.3)|  1.5  (0.4)|99.3 (0.2)|85.5 (0.9)|25.6 (1.6)| 0.7 (0.3)|100.0  --- |98.4 (0.4)|67.0  (1.4)| 9.4 (1.1)
1996 ...|99.6 (0.1)|86.6 (0.8)|35.7 (1.4)|  2.0  (0.4)|99.6 (0.2)|86.4 (1.0)|25.4 (1.5)| 0.8 (0.2)|100.0  --- |98.7 (0.4)|68.7  (2.2)| 9.2 (1.0)
        |          |          |          |            |          |          |          |          |           |          |           |
 Black, |          |          |          |            |          |          |          |          |           |          |           |
non-His-|          |          |          |            |          |          |          |          |           |          |           |
 panic  |          |          |          |            |          |          |          |          |           |          |           |
1978 ...|88.4 (1.0)|42.0 (1.4)| 4.1 (0.6)|  0.0   --- |79.7 (1.5)|28.7 (2.1)| 2.3 (0.5)| 0.0  --- | 98.8 (0.3)|70.7 (1.7)|16.8  (1.6)| 0.5 (0.2)
1982 ...|90.2 (1.0)|46.1 (2.4)| 4.4 (0.8)|  0.0   --- |90.2 (1.6)|37.9 (2.5)| 2.9 (1.0)| 0.0  --- | 99.7 (0.2)|76.4 (1.5)|17.1  (1.5)| 0.5 (0.3)
1986 ...|93.9 (1.4)|53.4 (2.5)| 5.6 (0.9)|  0.1   --- |95.4 (0.9)|49.0 (3.7)| 4.0 (1.4)| 0.1  --- |100.0  --- |85.6 (2.5)|20.8  (2.8)| 0.2  ---
1990 ...|96.9 (0.9)|60.0 (2.8)| 9.4 (1.7)|  0.1   --- |95.4 (1.1)|48.7 (3.6)| 3.9 (1.6)| 0.1  --- | 99.9  --- |92.4 (2.2)|32.8  (4.5)| 2.0 (1.0)
1992 ...|96.6 (1.1)|59.8 (2.8)| 9.6 (1.4)|  0.1   --- |95.0 (1.4)|51.0 (2.7)| 4.0 (0.7)| 0.1  --- |100.0  --- |89.6 (2.5)|29.8  (3.9)| 0.9  ---
1994 ...|97.4 (1.0)|65.9 (2.6)|11.1 (1.7)|  0.0   --- |95.6 (1.6)|51.0 (3.9)| 6.4 (2.4)| 0.3  --- |100.0  --- |90.6 (1.8)|29.8  (3.4)| 0.4  ---
1996 ...|97.3 (0.8)|65.3 (2.4)|10.0 (1.2)|  0.1   --- |96.2 (1.3)|53.7 (2.6)| 4.8 (1.1)| 0.1  --- |100.0  --- |90.6 (1.3)|31.2  (2.5)| 0.9  ---
        |          |          |          |            |          |          |          |          |           |          |           |
Hispan- |          |          |          |            |          |          |          |          |           |          |           |
   ic   |          |          |          |            |          |          |          |          |           |          |           |
1978 ...|93.0 (1.2)|54.2 (2.8)| 9.2 (2.5)|  0.2   --- |86.4 (0.9)|36.0 (2.9)| 4.0 (1.0)| 0.1  --- | 99.3 (0.4)|78.3 (2.3)|23.4  (2.7)| 1.4 (0.6)
1982 ...|94.3 (1.2)|55.7 (2.3)| 7.8 (1.7)|  0.0   --- |95.9 (0.9)|52.2 (2.5)| 6.3 (1.0)| 0.0  --- | 99.8  --- |81.4 (1.9)|21.6  (2.2)| 0.7 (0.4)
1986 ...|96.4 (1.3)|57.6 (2.9)| 7.3 (2.8)|  0.1   --- |96.9 (1.4)|56.0 (5.0)| 5.5 (1.1)| 0.2  --- | 99.4  --- |89.3 (2.5)|26.5  (4.5)| 1.1  ---
1990 ...|98.0 (0.8)|68.4 (3.0)|11.3 (3.5)|  0.2   --- |96.8 (1.1)|56.7 (3.3)| 6.4 (1.7)| 0.1  --- | 99.6  --- |85.8 (4.2)|30.1  (3.1)| 1.9 (0.8)
1992 ...|97.2 (1.3)|65.0 (2.9)|11.7 (2.5)|  0.1   --- |98.1 (0.7)|63.3 (2.7)| 7.0 (1.2)| 0.0  --- |100.0  --- |94.1 (2.2)|39.2  (4.9)| 1.2  ---
1994 ...|97.2 (1.2)|63.5 (3.1)| 9.7 (1.8)|  0.0   --- |97.1 (1.3)|59.2 (2.2)| 6.4 (1.8)| 0.0  --- |100.0  --- |91.8 (3.6)|38.3  (5.5)| 1.4  ---
1996 ...|98.1 (0.7)|67.1 (2.1)|13.8 (2.3)|  0.2   --- |96.2 (0.8)|58.3 (2.3)| 6.7 (1.2)| 0.0  --- | 99.9  --- |92.2 (2.2)|40.1  (3.5)| 1.8  ---
        |          |          |          |            |          |          |          |          |           |          |           |
 Public |          |          |          |            |          |          |          |          |           |          |           |
1978 ...|96.4 (0.3)|68.8 (0.9)|18.5 (0.7)|  0.7  (0.2)|94.1 (0.5)|63.3 (1.2)|17.0 (0.8)| 0.9 (0.2)| 99.8 (0.1)|91.7 (0.5)|50.6  (1.2)| 7.0 (0.4)
1982 ...|96.8 (0.4)|69.4 (1.2)|17.3 (0.9)|  0.5  (0.1)|97.5 (0.4)|69.7 (1.3)|16.4 (1.0)| 0.5 (0.1)| 99.9 (0.0)|92.5 (0.6)|46.9  (1.3)| 5.2 (0.4)
1986 ...|97.7 (0.3)|72.7 (1.4)|19.1 (1.1)|  0.6  (0.2)|98.5 (0.3)|72.9 (1.7)|15.6 (1.0)| 0.4 (0.1)| 99.9  --- |95.5 (0.5)|50.7  (1.6)| 6.1 (0.5)
1990 ...|99.0 (0.2)|80.5 (1.1)|26.8 (1.0)|  1.1  (0.3)|98.4 (0.2)|73.3 (1.2)|16.7 (1.1)| 0.3 (0.1)|100.0  --- |95.8 (0.6)|55.0  (1.3)| 6.5 (0.5)
1992 ...|98.8 (0.3)|79.7 (0.9)|26.1 (0.9)|  1.1  (0.3)|98.5 (0.3)|76.3 (1.2)|18.0 (1.0)| 0.3 (0.2)|100.0  --- |96.3 (0.6)|56.9  (1.2)| 6.7 (0.7)
1994 ...|98.9 (0.3)|80.6 (0.8)|27.9 (1.2)|  1.1  (0.4)|98.5 (0.3)|76.7 (1.2)|20.0 (1.4)| 0.6 (0.2)|100.0  --- |96.2 (0.5)|56.2  (1.3)| 6.4 (0.7)
1996 ...|99.0 (0.2)|80.7 (0.8)|28.3 (1.1)|  1.5  (0.3)|98.6 (0.2)|77.2 (0.9)|19.2 (1.3)| 0.6 (0.1)|100.0  --- |96.7 (0.5)|59.0  (1.8)| 7.1 (0.7)
        |          |          |          |            |          |          |          |          |           |          |           |
Private |          |          |          |            |          |          |          |          |           |          |           |
1978 ...|99.0  --- |83.3 (1.9)|28.4 (2.0)|  1.2  (0.4)|99.0 (0.4)|80.8 (1.7)|26.9 (1.8)| 1.4 (0.4)|100.0  --- |97.1 (0.6)|67.7  (3.3)|12.9 (2.7)
1982 ...|99.0 (0.4)|84.3 (2.1)|28.6 (2.6)|  1.0  (0.6)|99.5 (0.3)|85.1 (1.6)|26.3 (3.1)| 1.0 (0.3)|100.0  --- |98.1 (0.5)|66.3  (2.4)| 8.2 (1.4)
1986 ...|98.7 (0.8)|81.8 (2.3)|28.9 (2.7)|  1.1  (0.6)|98.9 (0.6)|81.9 (3.3)|22.0 (6.8)| 0.1  --- |100.0  --- |99.4  --- |75.1 (10.6)|16.3 (9.1)
1990 ...|99.7  --- |89.3 (1.8)|35.2 (3.3)|  1.8  (1.2)|99.7  --- |87.0 (2.0)|23.2 (2.5)| 0.7 (0.4)|100.0  --- |98.2 (1.2)|71.0  (7.9)|15.7 (5.3)
1992 ...|99.8 (0.1)|92.2 (1.2)|38.6 (2.7)|  1.9  (0.7)|99.9  --- |89.7 (2.1)|25.9 (3.7)| 0.7 (0.4)|100.0  --- |99.5  --- |79.5  (3.7)|12.2 (2.7)
1994 ...|99.8  --- |92.3 (1.3)|44.4 (4.0)|  2.2  (0.8)|98.7  --- |88.5 (2.6)|30.7 (3.7)| 1.0  --- |100.0  --- |98.8 (0.6)|75.7  (4.3)|14.5 (3.5)
1996 ...|99.6  --- |87.1 (1.5)|38.7 (3.0)|  2.1  (1.1)|99.6  --- |89.3 (3.5)|31.6 (4.8)| 1.0 (0.6)|100.0  --- |98.5 (0.8)|71.5  (6.4)|10.4 (4.0)
________|__________|__________|__________|____________|__________|__________|__________|__________|___________|__________|___________|__________

\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\Scale score of 150 or above.
\5\Scale score of 200 or above.
\6\Scale score of 250 or above.
\7\Scale score of 300 or above.
\8\Scale score of 350 or above.
---Data not available or not applicable.

NOTE.--Standard errors appear in parentheses.

SOURCE: U.S. Department of Education, National Assessment of Educational Progress, NAEP 1996 Trends in Academic Progress, prepared by Educational Testing Service. (This table was prepared September 1997.)


1998 Tables and Figures All Years of Tables and Figures Most Recent Full Issue of the Digest