MCAS 2001, 10th Grade Math, Questions 37 to 41

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Question #37

Joseph has two number cubes, each with faces labeled by the numbers -15, -10, -5, 5, 10, and 15.

If Joseph rolls the two cubes and adds the resulting numbers, what is the probability that the sum will be 0?

A. 1/36

B. 1/12

C. 1/4

D. 1/6

Question #38

CanCorp is determining the cost of labels for new cans with the dimensions shown below.,

The label for each can will wrap around the side of the can with no overlap. What is the approximate area of one label?

A. 1847 cm²

B. 264 cm²

C. 528 cm²

D. 924 cm²

Question #39

The box and whisker graph shown below represents the results of a survey of the estimated gas mileage of 100 car models.

Which statistics -- mean, median, mode, range -- can be determined from this graph?

A. mean only

B. median only

C. range and mean

D. range and median

Question #40

A class of 25 students is asked to determine approximately how much time the average student spends on homework during a one-week period. Each student is to ask one of his/her friends for the information, making sure that no one student is asked more than once. The numbers of hours spent on homework per week are as follows:

8, 0, 25, 9, 4, 19, 25, 9, 9, 8, 0, 8, 25, 9, 8, 7, 8, 3, 7, 8, 5, 3, 25, 8, 10

a. Find the mean, median, and mode for these data. Explain or show how you found each answer.

b. Based on this sample, which measure (or measures) that you found in part a best describes the typical student? Explain your reasoning.

c. Describe a sampling procedure that would have led to more representative data.

Question #41

Use the chart below to answer question 41.

Mr. Chrostowski is choosing one of the billing plans shown above for his cellular phone. He estimates that he will use the phone less than 50 minutes per month.

a. If he chooses Plan 1 and uses the phone exactly 50 minutes in one month, what will his bill be for that month?

b. Suppose that he chooses Plan 1 and uses the phone m minutes in one month. Write an equation for his total bill, B, for that month.

c. On the grid in your Student Answer Booklet, construct a graph that shows the monthly bills for Plan 1 for between 0 and 50 minutes of calls.

d. Using your equation or graph, find the number of minutes of phone use for which the two plans cost the same. Show or explain how you found your answer.

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