Potpourri

Proportions

Scale Drawings

%s (is/of)

Similar Figures

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

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

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?

1.6 inches

198 is what percent of 900?

22%

True or False: All circles are similar.

True

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

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

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?

18 and 3/4 miles

10% of what number is 2?

20

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

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

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

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?

5 miles

36 is 150% of what number?

24

If triangle ABC is similar to JKL, write a true proportion that relates the sides of these triangles.

example: A/J = C/L

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

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

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?

630 inches

Alexis answered 12 of the 15 questions on her test. What percent of the questions did Patty answer?

80%

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

side FO

At the same time that a 60-foot tall building casts a shadow that is 24 feet long, a nearby tree casts a
shadow that is 18 feet long. Which measure is closest to the height of the tree?

45 feet tall

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

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

Oscar spent 30% of the money he earned from babysitting over winter break. If he spent $45, what is the amount of money he earned over winter break?

$150

If the triangle MOE is similar to SAW, what can be said about the angles MEO and SWA?

They are congruent.

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