Speed, Distance, Time
Rates
Better Buy?
Rates & Ratios Language
Tape Diagrams
100

A remote-controlled helicopter is flying at 5 meters per second. How long will it take the helicopter to fly 75 meters?

15 seconds

100

For homework, a student had to complete 16 problems total. If she finished 6 problems in class, what is the ratio of problems she still needs to complete to problems that she's already finished?

5 to 3

100

Which is the better buy?

4 soups for $4.50

OR 

10 soups for $9.50

10 soups for $9.50

($0.95/soup)

100

Fill in the blank to create an equivalent ratio:

12:5 = 48: __

20

100

There are 24 coins. The ratio of pennies to dimes is 5:3. How many pennies are there? How many dimes are there? Draw a tape diagram to help solve.

15 pennies and 9 dimes

200

How fast should a student walk if they need to be at class in 5 minutes, and their classroom is 100 meters away?

20 m/min

200

Jane read 108 pages in 6 hours. How many pages did she read per hour?

18 pages/hour

200

Which is the better buy?

40 toy cars for $28.60 

OR 

52 cars for $25.00

52 toy cars for $25.00

($0.48/toy car)

200

The ratio of shoes sold to sandals sold was 10 : 7. If there were 40 shoes sold, how many sandals were sold?

28 sandals

200

The student to teacher ratio at a school is 7:3. If there are 160 more students than teachers, how many teachers are there? Draw a tape diagram to help solve.

120 teachers.

300

How far will a train travel if it moves at a speed of 19 mi/hr for 3.5 hours?

66.5 mi

300

Jillian is about to go on a road trip. She puts 14 gallons of gas in her car. She pays $31.36 for the gas. How much does the gas cost per gallon?

$2.24/gallon

300

Chase is comparing music subscription prices. A 12-month subscription with All Ears costs $91.80 and a 3-month subscription with Press Play costs $19.35. Which service costs less per month?

Press Play

300

A student finished 18 of her homework problems in class. If the ratio of problems she finished to problems she still had left was 6 : 1, how many homework problems did she have total?

21 Problelms
300

John is making hot chocolate by mixing cocoa powder and milk in a ratio of 3:10. He used 35 more ounces of milk than he did cocoa powder. How many ounces of cocoa powder did he use? Draw a tape diagram to help solve.

15 ounces of cocoa powder

400

What is the speed of a bowling ball that traveled down a 50 foot lane and hit the pins in 5 seconds?

10 feet/second

400

At a bake sale there were 48 raisin cookies sold. If the ratio of raisin cookies sold to oatmeal cookies sold was 8 : 5, what is the combined amount of raisin and oatmeal cookies sold?

78

400

Daniel and Rachel are both selling homemade bars of soap. Daniel has sold 18 bars of soap and has earned $31.50. Rachel has sold 20 bars of soap and has earned $34.00. Who is selling soap at a cheaper price? Find the unit rate for each.

Rachel, as she sells soap at $1.70/bar versus Daniel selling soap at $1.75/bar

400

The ratio of boys to girls in a classroom is 7 to 11. If there are 49 boys in the classroom, how many girls and boys are in the classroom altogether?

126

400

The ratio of cakes to pies is 3:5. If there are 72 desserts total, how many cakes are there? How many pies are there? Draw a tape diagram to help solve.

27 cakes

45 pies

500

How fast is a school bus moving if it travels 45 miles in 3 hours?

15 mi/hr

500

A parking lot has 65 spaces total. If 30 of the spaces have cars in them, what is the ratio of empty spaces to filled spaces? Simplify your answer.

7 to 6

500

Complete each unit rate and identify the better buy!

10 baseballs for $9.10 

OR 

14 baseballs for $15.50

10 baseballs for $9.10

($0.91 / baseball)

500

The ratio of red cars to blue cars in a parking lot was 4:3. If there were 20 red cars, how many blue cars were there?

15 blue cars.

500

Jamie and Pete are selling candy bars to raise money for baseball. The ratio of candy bars Jamie sold, to candy bars Pete sold, is 7:6. If Pete sold 54 candy bars, how many candy bars did they sell altogether? Draw a tape diagram to help solve.

117 candy bars.

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