Scale Factor
Unit Rate
Percent
Word Problems
Anything Goes
100
A model car is 5 inches long. The actual car is 15 feet long. What is the scale factor of the model car to the actual car?
3 feet
100
If 8 apples cost $10, what is the price per apple?
$1.25 per apple
100
A shirt costs $40. It's on sale for 20% off. How much will the shirt cost after the discount?
The shirt will cost $32
100
Julie typed 144 words in 3 minutes. What was her typing speed in words per minute?
48 words per minute
100
A babysitter bought 6 cans of juice for a total of $4.50. Each can of juice cost the same amount. Write a proportion that can be used to find c, the cost, in dollars, of 4 cans of juice?
200
A butterfly in a picture is 2 cm long. If the scale factor is 1:5, what is the actual length of the butterfly?
10 cm
200
A bicycle wheel makes 180 rotations in 1/4 mile. How many rotations does the wheel make per mile?
720 rotations
200
35% of 180 people surveyed preferred coffee ice cream. How many people surveyed preferred coffee ice cream?
63 people preferred coffee ice-cream
200
A snail travels 3/8 of a foot in 1/6 of an hour. What is the snail's speed in feet per hour?
2 1/4 feet
200
A store sells packages of butter. The table below shows the cost, in dollars, for different numbers of packages of butter.
What is the cost, per package, of the butter?
$3.75 per pack of butter
300
The height of the Eiffel Tower is 300 meters. In a scale model, its height is 75 cm. What is the scale factor from the Eiffel Tower to the scale model?
1/4
300
A recipe calls for 2 ½ cups of flour to make 15 cookies. How much flour is needed per cookie?
⅙ cup of flour
300
A cereal box says that it now contains 20% more cereal. if the new cereal box contains 30 ounces of cereal. How many ounces of cereal were in the original box?
The original box contained 25 ounces of cereal.
300
A store marks up the price of an item by 40%. If the marked-up price is $84, what was the original price?
The original price was $60
300
A seventh grade class sells gift cards as a fundraiser for the school library. Each gift card sells for $15.00. The library gets 35% of the money earned for each gift card sold. How much money does the library get if the class sells 500 gift cards?
The library will get $2625.00.
400
A scale model of a skate park is built with a scale factor of 2:150. If the model is 16 cm wide and 24 cm long, what are the actual dimensions of the school in meters?
12 meters wide
18 meters long
400
Mia read ⅔ of a 300-page book in 4 ½ hours. At this rate, how many hours does she take to read the book?
6 ¾ hours to read the 300 page book
400
Kenneth bought a shirt that was originally priced at $55.00. After a discount, he paid $38.50. What was the percent discount of the original price of the shirt?
The shirt was discounted 30%
400
Cheryl earns $23.75 babysitting for 2 ½ hours. At that rate, how much does Cheryl earn when babysitting for 5 ¾ hours?
She earns $54.63 (54.625-round up) for 5 ¾ hours of babysitting.
400
There are 140 students enrolled at a school. Of the students that are enrolled at the school,¾ play sports. Of the students that play sports, 1/7 are in an art club. How many students enrolled at the school both play sports and are in an art club?
There are 15 students that play sports and are in the art club.
500
An architect's blueprint shows a room that measures 2.5 inches by 3 inches. The scale on the blueprint is 1/4 inch = 1 foot. What is the area of the actual room in square feet?
120 square feet
500
A factory produces 5 ¼ tons of product in 3 ½ days. What is the factory's production rate in tons per day?
1 ½ tons of product
500
A furniture store is advertising a 20% discount on the price of sofas. Scott chooses a sofa with a discounted price of $460.00. He must also pay an 8% sales tax. How much money will Scott save on the discounted sofa, including tax, compared to the originally priced sofa, including tax?
The difference between the regular price and sale price including sales tax is $124.20
500
Joann went for a hike. The trail she hiked was 5½ miles and it took her 2 1/5 hours to complete. If Joann hiked at an average unit rate, how fast, in miles per hour, did Joann hike?
2 ½ miles per hour
500
The bill for a dinner at a restaurant is $58.20, before sales tax and tip. Sales tax is 5% of the dinner bill. Tip is 20% of the dinner bill. How much is the total bill including tax and tip?
$72.75 for the meal tax and tip.
meal $58.20
Tax $2.91
Tip $11.64