Ratios & Rates Practice

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a:b'.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD).

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two different units, such as speed (miles per hour) or price (cost per item).

Front

If John can complete 3 math problems in 10 minutes, how many problems can he complete in 1 hour?

Back

18 problems.

Front

A recipe requires 4 cups of flour for every 2 cups of sugar. What is the ratio of flour to sugar?

Back

The ratio of flour to sugar is 4:2, which simplifies to 2:1.

Front

If a car travels 60 miles in 1 hour, what is its speed in miles per hour?

Back

60 miles per hour.

Front

What is the unit rate of a car that travels 180 miles in 3 hours?

Back

The unit rate is 60 miles per hour.

Front

How do you find the total number of problems solved in a given time if you know the rate?

Back

Multiply the number of problems solved per unit of time by the total time.

Front

What is the ratio of total students to those who prefer chocolate ice cream if there are 54 students and 3 prefer chocolate?

Back

The ratio is 54:3, which simplifies to 18:1.

Front

If a recipe calls for 10 cups of sugar and you want to maintain the same ratio with 20 cups of flour, what is the ratio of flour to sugar?

Back

The ratio is 20:10, which simplifies to 2:1.