Potpourri
Proportions
Scale Drawings
Scale and Scale Factor
Similar Figures
100

The basketball concession stand sold 327 drinks in two games. Write a proportion that could be used to make the best estimate for the number of drinks that will be sold for 10 games?

327drinks / 2 games = x drinks / 10 games

100

Andrew knows that five pounds of turkey will feed eight people. At this rate, if Andrew is having 20 people over to his house for dinner, how many pounds of turkey will he need?

12.5 lbs

100

Helen walks to school 3.2 kilometers every morning. If a map of Alexandria uses a scale where 1 in represents 2 km, what distance on the map will represent the distance she walks to school every morning? You must include a label.

1.6 inches

100

A person is 66 inches tall and her action figure is 6 inches tall. What is the scale factor?

1/11

100
True or False: All circles are similar.
True
200

In a random survey, 24 out of 150 people were able to give a correct answer to the question asked. If 550 people are surveyed, about how many would be expected to answer the question correctly?

88 people

200

Jordan is making a scale model of his favorite car. The actual car is 8 feet long and 4 feet wide. If Jordan wants his model to be 12 inches in length, what will be the width of his model?

6 inches

200

Tavaris wants to visit a friend in Maryland and has checked a map with a scale of 1/2 inch = 3 miles. If Tavaris measures the distance on the map from his house to his friend's house as 3 and 1/8 inches, how many miles away is his friends house?You must include a label.

18 and 3/4 miles

200

The height of a scale model of the Liberty Bell is 4 inches. The Liberty Bell is 4 feet.

1 in.: 1 ft.

200
A triangle DEF has sides with the following lengths: DE is 45, EF is 39 and FD is 42. Triangle XYZ has sides with the lengths: XY is 30, YZ is x, and ZX is 28. If DEF and XYZ are similar, what is the value of x?
x=26
300

A bottle of liquid dog vitamins indicates that a dog gets 2 drops of vitamins each day for every 5 pounds of body weight. How many drops of vitamins should a 35-pound dog get each day?

14 drops

300

A tree casts a shadow 9 meters long. At the same time, a building 54 meters tall casts a shadow 21 meters long. To the nearest meter, what is the height of the tree?

23 meters

300

On a map, the distance between Milvale and Dracut is 1 1/4 inches. If the map uses a scale of 1/4 inch represents 1 mile, what is the actual distance in miles from Milvale to Dracut?You must include a label.

5 miles

300

On a scale drawing a bicycle is 6.5 inches tall. The scale is 1/6. How tall is the bicycle?

39 inches

300
If triangle ABC is similar to JKL, write a true proportion that relates the sides of these triangles.
example: A/J = C/L
400

On a certain map, 1/2 inch represents 75 miles. If the distance between two towns on this map is 2 and 1/4 inches, what is the actual distance between the two towns?

337.5 miles

400

Sammy used 5 yards of fabric to make 2 football uniforms. How many yards of fabric would he need to make 24 more uniforms?

60 yards

400

Diego is building a 1:35 scale model of a spaceship. If the height of his model is 18 inches, what is the height of the real spaceship? You must include a label.

630 inches or 52.5 feet

400

A model of a boat is 8 inches long. The boat is actually 10  2/3 feet long. What is the scale factor?

1/16

400
Triangle FOX is similar to triangle FAN. Which side corresponds with side FA?
side FO
500

The blueprints of the new kitchen are drawn in an 1/16 scale and measure 9 inches by 12 inches. What is the area of the actual kitchen in square feet?

192 square feet

500

Rachel's dogs ate 42 pounds of food during July. At that rate, how many days would a 100-pound bag of dog food would last? (to the nearest day)

74

500

John would like to take a trip to escape the cold weather. He knows the distance between Alexandria, VA and Orlando, Florida is 840 miles. The distance between the two cities on the map he is using is 10.5 inches. What is the scale of the map he is using?

1in : 80 miles

500

A toy car is 3 inches long. The car itself is 13.5 feet long. What is the scale factor?

1/54

500
If the triangle MOE is similar to SAW, what can be said about the angles MEO and SWA?
They are congruent.
M
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