Rates and Ratios Big Ideas

What is a Ratio?

• Is a comparison of two quantities 

• A rate with a denominator of one

• It is when the only factor the numerator and denominator share is a one 

• Two decimals that can be multiplied

What is the ratio of total shapes to circles?

• 3 : 4

• 4 : 3

• 7 : 3

• 3 : 7

What is the ratio of red apples to green apples

• 7 apples to 3 green

• 4 red apples to 7 apples

• 4 red apples to 3 green apples

• 3 green apples to 4 red apples

Simplify the ratio of
35 : 14

• 5 : 2

• 2 : 5

• 3 : 1

• 35: 14

Two quantities are in the ratio 7:3. If the sum of the quantities is 100, what is the larger quantity?

• 70

• 75

• 30

• 25

If a car travels 60 miles in 1.5 hours, what is the ratio of miles to hours?

• 40:1

• 60:1.5

• 40:3

• 20:0.5

If the ratio of cats to dogs in a pet store is 3:4, and there are 12 cats, how many dogs are there?

• 16

• 15

• 14

• 13

If the ratio of cats to dogs is 3:4, how many cats are there if there are 20 dogs?

• 15 cats

• 25 cats

• 30 cats

• 10 cats

A map scale shows that 1 inch represents 10 miles. How many miles does 3.5 inches represent?

• 35 miles

• 30 miles

• 25 miles

• 40 miles

A school's student to teacher ratio is 20:1. If there are 400 students, how many teachers are there?

• 20

• 25

• 15

• 10