Ratios & Rates Practice

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, showing how many times one value contains or is contained within the other.

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two different units, such as miles per hour or dollars per hour.

Front

How do you calculate the time taken to travel a certain distance at a constant speed?

Back

Time = Distance ÷ Speed.

Front

If a train travels 90 miles in 1.5 hours, what is its speed?

Back

Speed = Distance ÷ Time = 90 miles ÷ 1.5 hours = 60 miles per hour.

Front

How do you find the equivalent ratio?

Back

To find an equivalent ratio, multiply or divide both terms of the ratio by the same non-zero number.

Front

What is the unit rate?

Back

The unit rate is a rate in which the second quantity is 1, such as 60 miles per hour.

Front

How do you determine which day Jane ran the slowest?

Back

Calculate the speed for each day by dividing the distance by the time taken, then compare the speeds.

Front

If 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

How do you solve for an unknown in a ratio?

Back

Set up a proportion and cross-multiply to find the unknown value.

Front

What is the formula to calculate hourly wage?

Back

Hourly Wage = Total Earnings ÷ Total Hours Worked.