MCAS 2000, 8th Grade Math, Questions 37-39

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Question #37

When Matt's and Damien's broad jumps were measured accurately to the nearest foot, each measurement was 21 feet. Which statement best describes the greatest possible difference in the lengths of Matt's jump and Damien's jump?

A. One jump could be up to 1/4 foot longer than the other.

B. One jump could be up to 1/2 foot longer than the other.

C. One jump could be up to 1 foot longer than the other.

D. One jump could be up to 2 feet longer than the other.


Question #38 (Open-Response Question)

The planning committee at Lane Middle School is planning a pizza party for its 127 eighth-grade students. They got this menu from The Pizza Palace.

The planning committee took a survey of a random sample of 26 eighth-grade students by asking, "What kind of pizza do you want?" The chart at the bottom shows what they found.

The committee has a budget of $300 for the pizza. What kinds and sizes of pizzas could the committee order so that each of the 127 students can have his or her favorite kind of pizza?

a. Explain how you used the results of the survey to decide which pizzas to order.

b. Show or describe the calculations needed to be sure that there will be enough pizza for the 127 students.

c. Show or describe the calculations needed to be sure that the cost of the pizzas totals $300 or less.

You do not need to find the cheapest way to buy enough pizza. You only need to make sure that the total cost is $300 or less.


Question #39 (Open-Response Question)

For Tiffany and Miguel's science fair project, they dropped the same ball from a height of 200 centimeters 20 times. Each time they dropped the ball, they measured how high it bounced on its first four bounces. The table below gives the average of their measurements.

a. Using the grid in your answer booklet, draw a graph showing the data in the table. Be sure to label the axes.

b. Predict the height of the 5th bounce.

c. Describe the pattern that can be used to predict the height of the bounces.


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