Ratios and Rates

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another.

Front

How can a ratio be expressed?

Back

A ratio can be expressed in three ways: as a fraction, with a colon (e.g., 3:5), or with the word 'to' (e.g., 3 to 5).

Front

What is a rate?

Back

A rate is a special type of ratio that compares two different quantities, often with different units.

Front

What is a unit rate?

Back

A unit rate is a rate in which the second quantity is one unit, such as miles per hour or price per item.

Front

If the ratio of cats to dogs is 2:3 and there are 10 cats, how many dogs are there?

Back

15 dogs.

Front

What is the missing number in the ratio 4:5 if the first number is 32?

Back

40.

Front

In a recipe, the ratio of sugar to flour is 1:4. If you use 2 cups of sugar, how much flour do you need?

Back

8 cups of flour.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first quantity is the numerator and the second quantity is the denominator.

Front

If a car travels 150 miles in 3 hours, what is the unit rate in miles per hour?

Back

50 miles per hour.

Front

What is the missing number in the ratio table if the ratio is 6:9 and the first number is 12?

Back

18.