MCAS 2002, 8th Grade Math, Questions 37 to 39

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Question #37

The chart below shows the amount spent by customers at a department store on a typical business day.

Based on the information in the chart, which of the following is closest to the probability that a customer entering the store on a typical day will spend at least $10?

A. 13%

B. 18%

C. 37%

D. 81%

Question #38

The computer game Peter wants to buy will cost at least $50 and not more than $70. He earns $3 an hour running errands for his grandmother. Which inequality shows the number of hours, n, he will have to work to pay for the game?

Question #39 (Open-Response Question)

Use the ruler included in your reference sheet to answer question 39.

[Editor's note: the actual size of the image you see here will depend on your computer screen or your printer; therefore the answers you get to this question may not be the same as those intended by the designers of the test, or those of other people reading this same web page. That is okay. What is important in this question is the method by which you arrive at your answers.]

The figure shown above represents the base of a cylindrical tank. The tank has a height of 16 centimeters (1 milliliter = 1 cubic centimeter).

a. What is the radius of the base, in centimeters?

b. What is the volume of the cylinder in milliliters? Show your work.

c. If both the radius and the height of the cylinder were doubled, what would be the volume of the cylinder in milliliters? Show your work.

d. Based on your answers to parts b and c, what is the ratio of the volume of the smaller tank to the volume of the larger tank? Show your work.

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