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Ratios
Rates
Proportions
Similar Figures
Scales
100
The class library has 7 French books, 11 Spanish books, 19 art books, 3 Italian books, and 14 science books. What is the ratio of foreign language books to all books in simplest form?
What is 7:18
100
The unit price of a 6-ounce tube of toothpaste that costs $3.75?
What is $0.63
100
A recipe for lasagna calls for 3 pounds of tomatoes to serve 5 people. A caterer wants to make enough lasagna to serve 110 people. How many pounds of tomatoes does he need?
What is 66 pounds
100
Lance the alien is 5 feet tall. His shadow is 8 feet long. At the same time of day, a tree’s shadow is 32 feet long. What is the height of the tree?
What is 20 feet
100
On a road map of Pennsylvania, the distance from Philadelphia to Washington, D.C., is 6.8 centimeters. The map scale is 2 cm:40 mi. What is the actual distance between the cities?
What is 136 miles
200
A train car has 64 seats. There are 48 passengers on the train. Write the ratio of seats to passengers in simplest form.
What is 4 to 3
200
A truck driver drives from Cincinnati to Boston in 14 hours. The distance traveled is 840 miles. What is the truck driver’s average rate of speed?
What is 60 miles per hour
200
Jeanette can swim 105 meters in 70 seconds. How far can she probably swim in 30 seconds?
What is 45 meters
200

A triangle has a height of 9 inches and a base of 12 inches. Fred wants to build a smaller model and has a 4 inch base. How tall is the model?  

What is 3 in

200
Simplify the expression 4a + 4b + 2 − 2a + 5b − 1
What is 2a + 9b + 1
300
During the 2001 WNBA season, the Los Angeles Sparks had 28 wins and only 4 losses. Write the ratio of wins to games played in simplest form three ways.
What is 7 to 8; 7:8; 7/8
300
Metropolitan Middle School has 564 students and 24 teachers. Eastern Middle School has 623 students and 28 teachers. Which school has the lower unit rate of students per teacher?
What is Eastern Middle School
300
A 12-pack of 8-ounce juice boxes costs $5.40. How much would an 18-pack of juice boxes cost if it is proportionate in price?
What is $8.10
300

The design for a billboard is 1 foot tall by 2 feet long. How tall is the actual billboard if it is 50 feet long

25 feet long 

300
The scale on a road map is 1 cm:500 mi. If the distance on the map between New York City and Memphis is 2.2 centimeters, what is the actual distance between the two cities?
What is 1,100 miles
400
The Rockport Diner has 8 seats at the counter and 32 seats at tables. Of these seats, 16 are taken. Write the ratio of seats taken to empty seats in simplest form three ways.
What is 2 to 3; 2:3; 2/3
400
Max bought 16 gallons of gas for $40.64. Lydia bought 12 gallons of gas for $31.08. Kesia bought 18 gallons of gas for $45.72. Who got the best buy?
What is Max and Kesia both paid the same rate, which is better than Lydia’s rate.
400
For every 5 books her students read, Mrs. Fenway gives them a free homework pass for 4 days. Juan has accumulated homework passes for 12 days so far. How many books did Juan read?
What is 15 books
400
Alanis is moving and needs to pack two mirrors. The largest mirror fits in a box that is 18 inches wide by 20 inches long. Her smaller mirror is similar in proportion to the larger mirror. Alanis determines that the width of the smaller box needs to be a minimum of 9 inches. What should be the minimum length of the box to hold the smaller mirror?
What is 10 inches
400
Solve for t. (18-4t)/0.5 = 20
What is t = 2
500
A market research company tests new commercials. Out of 96 people, 80 people prefer Commercial A and the rest prefer Commercial B. Write the ratio in simplest form of people who prefer Commercial A to Commercial B.
What is 5 to 1
500
Mr. Tanney buys a 10-trip train ticket for $82.50. Ms. Elmer buys an unlimited weekly pass for $100 and uses it for 12 trips during the week. Write the unit cost per trip for each person.
What is Mr. Tanney, $8.25 per trip; Ms. Elmer, $8.33 per trip
500
Beeswax used in making candles is produced by honeybees. The honeybees produce 7 pounds of honey for each pound of wax they produce. How many pounds of honey is produced if 145 pounds of beeswax?
What is 1,015 pounds of honey
500

An artist is painting a mural on the wall in the school cafeteria. His sketch is 10 inches tall and 18 inches wide. If the wall is 80 inches tall, how wide will the mural be?

144 inches

500
The way to set up scale/scale factor.
What is model to actual