GCF
LCM
Ratios
Unit Rates
Ratio and Rate Problems
100

GCF og 21, 35, and 49

7

100

LCM of 6 and 15

30

100

A class has 6 boys and 15 girls. What is the ratio of boys to girls? 

2/5 or 2:5 or 2 to 5

100

Write as a unit rate. 

45 miles in 3 hours

15 miles per hour 

100

Robin can clean 72 rooms in 6 days.

How many rooms can Robin clean in 9 days?

108 rooms

200

GCF of 24 and 60

12

200

LCM of 6, 12, and 15

60

200

An animal shelter has 36 kittens and 12 puppies available for adoption. What is the ratio of puppies to animals? 

1/4 or 1:4 or 1 to 4

200

The Reyes Family bought four concert tickets for $250. What was the price per ticket? 

$62.50 per ticket

200

At the market, 8 batteries cost $10.

How much do 6 batteries cost?

$7.50

300

GCF of 24, 40, and 56

8

300

LCM of 3, 9, and 15

45

300

Karla found that 6 of the 30 students in her class own a bicycle. What is the ratio of students that own a bicycle to students that do not? 

1/4 or 1:4 or 1 to 4

300

Find the number of meters per second of each event. Round to the nearest tenths.

200 meters in 19.3 seconds 

10.4 meters per second

300

Frances can complete 91 oil changes in 7 days.

How many oil changes can Frances complete in 11 days?

143 oil changes

400

A grocery store clerk has 16 oranges, 20 apples, and 24 pears. The clerk needs to put an equal number of apples, oranges, and pears into each basket. What is the greatest number of baskets that can be made so that no fruit is left? 

4 baskets

400

Inez waters her plants every two days. She trims them every 15 days. She did both today. When will she do both again?

30 days

400

A pet store sold 10 birds, 14 dogs, and 8 cats. Write the ratio of cats sold to animals sold. 

1/4

400

An adult blinks about 450 times in 30 minutes. A 12-year old blinks about 150 times in 15 minutes. How many more times does an adult blink in one hour than a 12-year old? 

300 blinks 

400

At the market, 8 apples cost $4.

How much do 9 apples cost?

$4.50

500

A gardener has 27 pansies and 36 daisies. He plants an equal number of each type of flower in each row. What is the greatest possible number of pansies in each row? 

9 pansies

500

Ernesto has painting class every 2 weeks. Kamala has pottery class every 5 weeks. Ernesto and Kamala met at the art building for class this week. How many weeks will it be until they see each other again? 

10 weeks

500

Katie loves to read! In the last few months she has read 3 graphic novels, 2 mysteries, 4 sci-fi novels, and 21 comic books.

What is the ratio of graphic novels to comic books?

1/7

500

Population density is the number of people per square unit of area. Find the population density for each state listed below. Round to the tenths.

Florida

Population: 18,300,000; Area (square miles): 65,758

Wyoming

Population: 522,000; Area (square miles): 97,818

 

FL: 278.3 people/sq mile

Wyoming: 5.3 people/sq mile

500

Which of these is an example of typing at a rate of 42 words per minute?

a) Typing 16 words in 2/3 of a minute.

b) Typing 16 words in 3/2 of a minute.

c) Typing 28 words in 3/2 of a minute.

d) Typing 28 words in 2/3 of a minute.

d
M
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