22 nov 10 test review ratio/rate/similar figures (proportion)

22 Nov 10

Test Review Ratio/Rate/Similar Figures

(proportion)

#1On 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

a)inmi

.515

6.5m

b) mihr

601

195h

97.5.5m 60h = 195

97.5.5.5m.5 60h60 =19560

m195miles h=3.25hours

3 hr 15 mins

#2When 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

high meters 6h

95499h

549h

h8

6.759

highwide

#3For 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

flosstotal

725

f

65 45525f

4552525f 25

18.2peoplef

18people flossf

#4An 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

c = calcium oz 31

13

.30.30c.304

.30c4.50c

.308

%oz

#5An 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

16inb

256b2

#6Express 9 inches:3 yards as a

ratio in simplest form.

6A

inin

121

1089

36

39

ydin

#7How tall is the flagpole?

7A

9t

416

1444t

1444 4t 4

36feet t

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

8A

x3

219

639x

6399x 9

7meterx

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

9A

33335.511

36

Proportional; Cross Products are Equal

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

10A

52

6x

5x12

5x 5 125

x2.4

#11The 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

mmeters 168

2.52.5m2.5420

2.5m420

2.1m

2.5200

highlong

#12One 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

116

15in240in

1512 x 20

1520

inft

#13Find the scale factor for each scale.

a. 1 inch = 15 feet

b. 10 cm = 2.5 m

13A

251

250cm10cm

2.5m10cm

b)

180in1in

15ft1in

a)

#14The 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

a2 47.25

a6.9ft