Unit 3 Part 3 Review

The length between consecutive bases on a major league baseball diamond is 90 feet. Alvin wants to make a scale drawing of a baseball field. If the bases are 2.5 inches apart on his scale drawing, what is Alvin’s scale?

• 1 inch = 2.5 ft.

• 1 inch = 3 ft.

• 1 inch = 30 ft.

• 1 inch = 36 ft.

The house shown below was drawn using a scale of 2 in = 5 ft. What is the actual height of the house?

• 21¼ ft

• 21¼ in

• 85 ft

• 3.4 ft

According to the drawing, what is the perimeter of Lana’s yard in meters?

• A. 170 m

• B. 85 m

• C. 34 m

• D. 17 m

A satellite is 18 meters wide. A model of it was built with a scale of 1 centimeter : 3 meters. How wide is the model?

• 6 meters

• 6 centimeters

• 54 meters

• 54 centimeters

A tree casts a shadow that is 18 feet long. At the same time, a 5-foot tall girl has a shadow that is 3 feet long. What is the height of the tree?

• 30 feet

• 54 feet

• 90 feet

• 108 feet

Three-fifths of seventh graders have a cell phone. In a seventh grade class of 450, how many students would you predict to have a cell phone?

• 60

• 130

• 270

• 300

A factory manager conducted tests on a random sample of 125 products. Of the products tested, 2 were found to have defects. Based on this information, how many products in a batch of 3,000 are likely to be defective?

• 48

• 60

• 125

• 150

Which is the most reasonable prediction based on the survey?

• A. The results showing football as the most popular professional sport is reasonable.

• B. The results showing football as the most popular professional sport is biased because too many people were surveyed.

• C. The results showing football as the most popular professional sport is biased because too few people were surveyed.

• D. The results showing football as the most popular professional sport is biased since the only people who were surveyed paid to see a football game.

A factory manager conducted tests on a random sample of 150 products. Of the products tested, 2 were found to have defects. Based on this information, how many products in a batch of 3,000 are likely to be defective?

• A. 20

• B. 40

• C. 60

• D. 120

Luis and Aisha are running for seventh-grade president. In a random sample of seventh graders, 3 out of 10 students said they would vote for Luis, 4 out of 10 students said they would vote for Aisha, and 3 out of 10 students had not yet decided. If all 450 seventh graders vote in the election, which prediction is the MOST reasonable?

• Luis will get 135 votes, and Aisha will get 180 votes.

• Luis will get 135 votes, and Aisha will get 315 votes.

• Luis will get 270 votes, and Aisha will get 180 votes.

• Luis will get 202 votes, and Aisha will get 248 votes.