scale factor
percentages increase/decrease
Converting Fractions, Decimals, Whole Numbers, and Percentages
Constant of Proportionality
Scale Drawing word problems
100

 If a rectangle has a length of 4 cm and a width of 3 cm, what is the scale factor if the rectangle is enlarged to a length of 8 cm? 



The scale factor is 2
100

A shirt originally costs $20. If the price is increased by 10%, what is the new price of the shirt?

It is 22$

100

covert the fraction 1/4 into a decimal.


0.25

100

: If 3 apples cost $1.50, what is the constant of proportionality per apple?




It is 50 cents per apple 

100

 A model car is built at a scale of 1 inch to 2 feet. If the length of the actual car is 12 feet, how long is the model car?

it is 6 inches 

200

*: A triangle has sides measuring 5 cm, 12 cm, and 13 cm. If the triangle is scaled up by a factor of 2, what will be the lengths of the sides of the new triangle?

The new lengths and triangle would be 10 cm , 24 cm, and 26 cm

200

A book was priced at $15 but is now on sale for $12. What is the percentage decrease in the price of the book?

what is 20 percent?

200

 Convert the decimal 0.75 to a percentage.



It is 75 percent

200

 A car travels 60 miles in 1 hour. What is the constant of proportionality for the distance traveled per hour?

it is 60 miles per hour 

200

A blueprint of a park shows a walking path that is 5 inches long. If the scale of the blueprint is 1 inch to 10 feet, how long is the actual walking path?

it is 50 feet

300

 A model of a car is built at a scale of 1:10. If the actual car is 4 meters long, how long is the model car in centimeters?

It is 40 cm long

300

: A student scored 70 out of 100 on a test. If the student improves their score by 20%, what will be their new score?

It is 84 percent

300

A class has 20 students, and 8 of them are girls. What fraction of the class are girls, and what percentage does that represent?



it is 40 percent girls

300

 If a recipe uses 4 cups of flour to make 12 cookies, what is the constant of proportionality (cups of flour per cookie)?

it is 1/3 cups/cookies

300

 A scale drawing of a room shows the length as 8 inches and the width as 6 inches. If the scale is 1 inch to 3 feet, what are the actual dimensions of the room in feet?

it is 18 feet

400

 A drawing of a garden is made with a scale factor of 1:5. If the drawing shows a flower bed that is 6 cm long, what is the actual length of the flower bed in meters?



The actual length is 0.3 cm

400

A bike was bought for $200. If the bike’s value decreases by 25%, what is its new value?

it is 150$

400

 Convert the percentage 60% to a fraction in simplest form.

it is 3/5

400

A school has a ratio of 15 students for every 1 teacher. If there are 5 teachers, what is the constant of proportionality for the number of students per teacher?



it is 15 students/teachers

400

A map has a scale of 1 inch representing 50 miles. If two cities are 3 inches apart on the map, what is the actual distance between the cities?

it is 150 miles

500

A small town has a scale map where 1 inch represents 2 miles. If the distance between two landmarks on the map is 3.5 inches, what is the actual distance between the landmarks in miles?



The distance is 7 miles

500

A restaurant's menu prices increased by 15%. If a meal originally cost $30, what is the new price of that meal after the increase, and how much more will customers pay compared to the original price?

it is 34.50$

500

A recipe calls for 2/3 cup of sugar. If you want to express this amount in decimal form and then convert it to a percentage of 1 cup, what is the percentage of sugar used in the recipe?



it is 66.67 percent

500

 A map has a scale where 1 inch represents 50 miles. If a distance of 3 inches is represented on the map, what is the constant of proportionality for the distance in miles per inch?

it is 50 miles per inch

500

A scale drawing of a garden shows a rectangular area that is 4 inches wide and 10 inches long. If the scale is 1 inch to 2 feet, what is the actual area of the garden in square feet?

it is 160 square feet