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

Sample Multiple-choice Items 


A packaging company is designing various packages to hold salt water taffy, offering the customer choices in shape. All of the boxes must hold the same volume, however. Given the following two choices, what is the value of side x ?

(Figures are not drawn to scale.)

2"

4"

5"

6"

The water company is stacking cylindrical pipes as shown to the right. Each pipe is 30 inches in diameter. How high will the stack be?

(problem from Prince George's County Schools in Maryland: www.pgcps.pg.k12.md.us)

How to solve this problem

approximately 78"

approximately 80"

approximately 82"

approximately 90"

A local pizza parlor sells a special "Everything-On-It" pie in two sizes: a 12" pie for $8 and a 16" pie for $10. You want to know which pie is the better deal. What is the approximate price per square inch for the 12" pie and the 16" pie, in that order?

How to solve this problem

$.62 and $.66 per square inch

$.21 and $.20 per square inch

$.11 and $.14 per square inch

$.07 and $.05 per square inch

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