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Sample questions in mathematics
Grade 4
Grade 8

Test Yourself...then see how the students responded to the same questions on NAEP.This sample question measures eighth-graders’ understanding of number properties and operations.

Student responses were scored according to a 2 point scale as "Correct" or "Incorrect." The sample response below is an example of a "Correct" response.

Overall, 42 percent of students were scored as having a "Correct" response. When only the students in the Proficient category are considered, 66 percent scored "Correct."

Grade 8 Short Constructed-Response question. National percentage "complete" in 2007. 42% of all student responses were rated "complete." By achievement level, 13% of students Below Basic were scored as "complete;" 43% of students at Basic were scored as "complete;" 66% of students at Proficient were scored as "complete;" 78% of students at Advanced were scored as "complete." The sample short constructed-response question is as follows: The sum of three numbers is 173. If the smallest numbers is 23, could the largest number be 62? Select yes or no. Explain your answer in the space below. The student wrote the following: "No. 23 and 62 is 85. You would need to add 88 to get to 173, so 62 wouldn't be the largest number."

See more about this question in the NAEP Questions Tool.

View this question, at score 317, on a map of NAEP mathematics items.

SOURCE: U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2007 Mathematics Assessment.

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National Assessment of Educational Progress, National Center for Education Statistics
National Assessment Governing Board
Institute of Education Sciences, U.S. Department of Education