Ratio and Rate Reasoning

Front

What is the formula to convert feet to yards?

Back

To convert feet to yards, divide the number of feet by 3.

Tags

CCSS.5.MD.A.1

Front

If a garden is 12 ft long and 15 ft wide, how do you calculate its area in square feet?

Back

Area = length × width. For John's garden, Area = 12 ft × 15 ft = 180 square feet.

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

Front

How do you calculate average speed?

Back

Average speed = total distance / total time.

Tags

CCSS.6.RP.A.3B

Front

If a trip covers 370.5 miles in 6.5 hours, what is the average speed?

Back

Average speed = 370.5 miles / 6.5 hours = 57 mph.

Tags

CCSS.6.NS.B.3

Front

How many pencils can be purchased with $4.50 if 12 pencils cost $3?

Back

If 12 pencils cost $3, then 18 pencils can be purchased with $4.50.

Tags

CCSS.6.RP.A.3B

Front

What is the unit rate?

Back

The unit rate is a comparison of two different quantities when they are combined together. It is often expressed as a quantity per 1 unit.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If Anna earns $48 for washing cars for 6 hours, what is her hourly rate?

Back

Hourly rate = total earnings / total hours. Anna's hourly rate = $48 / 6 hours = $8 per hour.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How long will it take Anna to earn $72 at her hourly rate?

Back

Time = total earnings / hourly rate. It will take Anna 72 / 8 = 9 hours to earn $72.

Tags

CCSS.6.RP.A.3B

Front

What is the average speed of a car that travels 104 miles in 4 hours?

Back

Average speed = total distance / total time = 104 miles / 4 hours = 26 mph.

Tags

CCSS.6.RP.A.3B

Front

How do you find the total distance traveled if you know the speed and time?

Back

Total distance = speed × time.

Tags

CCSS.6.RP.A.3B