Unit 3: Unit Rates and Percentages

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It is often expressed as a quantity per one unit, such as miles per hour or cost per item.

Front

How do you calculate the speed of an object?

Back

Speed is calculated by dividing the distance traveled by the time taken. The formula is: Speed = Distance / Time.

Front

If Han runs at a pace of 12 minutes per mile, how many miles can he run in 1 hour?

Back

In 1 hour (60 minutes), Han can run 5 miles because 60 minutes / 12 minutes per mile = 5 miles.

Front

What is the formula to find the percentage of a number?

Back

To find the percentage of a number, use the formula: (Part / Whole) x 100 = Percentage.

Front

What is 20% of 60?

Back

20% of 60 is 12, calculated as (20/100) x 60 = 12.

Front

What does the term 'pace' refer to in running?

Back

Pace refers to the amount of time it takes to run a certain distance, usually expressed in minutes per mile.

Front

If Lucy has a ratio of 6:2 for chocolate chip cookies to sugar cookies, what is the total number of cookies if she makes 96 sugar cookies?

Back

If the ratio is 6:2, for every 6 chocolate chip cookies, there are 2 sugar cookies. If she makes 96 sugar cookies, she needs a total of 384 cookies.

Front

What is the area of a rectangle with a length of 10 yards and a width of 15 yards?

Back

The area is calculated as Length x Width. So, the area is 10 yards x 15 yards = 150 square yards.

Front

What is the difference between speed and velocity?

Back

Speed is a scalar quantity that refers to how fast an object is moving, while velocity is a vector quantity that includes both speed and direction.

Front

How do you convert a fraction to a percentage?

Back

To convert a fraction to a percentage, divide the top number (numerator) by the bottom number (denominator) and then multiply by 100.