Test Review Ratio/Rate/Similar Figures (proportion) 22 Nov 10 Test Review Ratio/Rate/Similar Figures (proportion)

#1 On a map, the distance between San Antonio and Houston is 6 1/2 inches. If the scale of the map is 1/2 inch = 15 miles, about how long would it take the Garoni family to drive from Houston to San Antonio if they drove 60 miles per hour? (Hint: answer should be in hours and minutes.)

1A

#2 When projected onto a movie screen, the image from a film is 9 meters wide and 6.75 meters high. If the image from this same film is projected so that it appears 8 meters wide, what is the height of the projected image?

2A

#3 For every 7 people who say they floss daily, there are 18 people who say they do not. Write and solve a proportion to determine out of a total of 65 people how many you would expect to say they floss daily. (Hint: label the ratios and make sure the same thing is being compared on both sides of the equal sign.)

3A

#4 An 8 ounce serving of milk provides 30% of the daily value of calcium. How much milk provides 50% of the daily value of calcium?

4A

#5 An artist is measuring a rectangular canvas. Its length is 30 in. The distance from one corner of the canvas to the other (along the diagonal) is 34 in. What is the width?

5A a2 + b2 = c2 302 + b2 = 342 900 + b2 = 1156 -900 -900 b2 = 256

#6 Express 9 inches:3 yards as a ratio in simplest form.

6A

How tall is the flagpole? #7 How tall is the flagpole?

7A

#8 Write a proportion to find the missing measure. Then solve.

8A

#9 Determine whether the pair of polygons is similar. Explain your reasoning.

9A Proportional; Cross Products are Equal

#10 The pair of polygons is similar. Write a proportion to find the missing measure. Then solve.

10A

#11 The Washington Monument casts a shadow 200 m long. At the same time, a nearby van that is 2.1 m high casts a shadow 2.5 m long. How tall is the monument? Draw and label a diagram. Write a proportion. Solve the proportion.

11A

#12 One of the models of a dinosaur used in the filming of a movie was only 15 inches tall. In the movie, the dinosaur appeared to have an actual height of 20 feet. What was the scale factor of the model?

12A

#13 Find the scale factor for each scale. a. 1 inch = 15 feet b. 10 cm = 2.5 m

13A

#14 The top of a badminton net is 5 feet high. Ropes connect the top of each pole to stakes in the ground. The ropes are 8.5 feet long. What is the closest distance from a stake to the base of a pole?

14A a2 + b2 = c2 a2 + 52 = 8.52 a2 +25 = 72.25 -25 -25 a2 = 47.25