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HSPA Math Macro 2c: Applying principles of measurement and geometry
to solve problems involving direct and indirect measurement

Sample Open-ended Item #3


Sample Item

Circle A has a radius of 10 inches. How much greater than its area is the area of Circle B whose radius is twice as large?  Explain and show how you arrived at your answer.

Sample Responses

Click on a link below to view individual student responses and scorer comments to this sample test item:

"0" Response | "1" Response | "2" Response | "3" Response | Top


"0" Response

This response scored a "0" because it shows no knowledge of circle geometry.

"0" Response | "1" Response | "2" Response | "3" Response | Top


"1" Response

This response scored a "1" because it shows an understanding of circle geometry (radius and area formulas), but the answer is incomplete and does not give explanations.

  "0" Response | "1" Response | "2" Response | "3" Response | Top


"2" Response

This response scored a "2" because it shows a correct answer, but does not provide explanation for the answers.

  "0" Response | "1" Response | "2" Response | "3" Response | Top


"3" Response

This response scored a "3" because it shows an understanding of areas, correct application of appropriate formulas, correct calculations, and fully explains the reasoning.

"0" Response | "1" Response | "2" Response | "3" Response | Top


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