Rates
Proportions
Scale Drawings
Area & Volume SF
Similar Figures
100

Reid types 1020 words in 1 hour. What is his typing speed in words per minute?

17 words per minute

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?
1.6 inches
100

Ellery builds a pool in her back yard based on a scale model that is 25 times smaller than the pool itself. If the volume of a swimming pool is 13850 cubic litres, what is the volume if you were to full up the scale model? 

0.8864 cubic litres would fit in the scale model

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 per correct answer


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?
18 and 3/4 miles
200

If the volume of object A is 8 times larger than the volume of a similar object B, what is the area of object B if the area of object A is 32 square feet?

8 square feet

k3 = 8 therefore k = 2  and k2 = 4

A is larger than B so we use k2 = 1/4

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 per day

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?
5 miles
300

Square A has dimensions of 3cm per side. Square B has side length 27cm. What is the area scale factor to create shape B from shape A?

k = B/A    

   = 27/3

    = 9 

Therefore k2 = 81

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

A tap is dripping at a rate of 15mL per minute. How long will it take to waste 3L of water? 

3 hrs 20 min or 3.333333 hours

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?
630 inches
400

A can of paint covers 256 square meters. If the blueprint shows a room to have dimensions of 5cm x 8 cm x 3 cm with a scale of 1:100. Will one can of paint be enough to cover the entire room (4 walls) with 2 coats of paint? 

Yes. 

2 walls at 8m x 3m + 2 walls at 5m x 3m is 78m2 for one coat  or 156m2 for 2 coats. 

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

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

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 days

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

If the area of one vase is 24cm2 and the area of a similar vase is 72 m2. Then how much larger is the volume of the second vase compared to the first? 

k2 = 3

k = 1.732

so k3 = 5.196

The second vase has about 5 times the volume of the first.

500
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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