Ratios
Rates
Part to Part
Part to Whole
Review Word Problems
100

What are ratios?

What is ratios are ordered pairs of numbers. 

100

What is a rate?

What is a rate is the ratio of two quantities with different units. 

100

What is a Part to Part ratio?

What is a Part to Part ratio is when there is part of a part. 

100

What is a Part to Whole Ratio?

What a part to whole ratio is when there is a fraction of a whole.

100

There are 60 athletes and 50 of them are swimmers. What is the ratio from the total number of athletes to the number of swimmers? 

What is the number of athletes to the number of swimmers is 60:50 or 6:5

200

What is one way to write a ratio?

Possible answers...

Example 1: 5:1 What is (colon)                

Example 2: 5/1 What is (fraction)

Example 3: 5 to 1 What are (words)

 

200

Is the following an example of a rate: If Matilda runs 1/4 of a mile every 10 minutes then she runs 1 mile in 40 minutes?

What is Yes, that is an example of a rate.

200

Would the following be an example of a Part to Part ratio: There are 67 kids 15 of them were selected to be in a school program and 3 out of the 15 kids are wearing pink?

What is yes, that would be a Part to Part ratio.

200

Would the following example be an example of a Part to Whole ratio: There are 72 water bottles in one case. 64 of those water bottles are finished in one week?

What is yes, that is a example of part to whole because the whole is the case of water and the part is the amount of water bottles that someone finished in the week. 

200

There are 200 dancers competing in a competition. 60 of them are ballroom dancers. Does this ratio represent a Part to Part or Part to Whole ratio? 

What is the ratio is 200:60 or 20:6 or 10:3 representing a Part to Whole ratio. 

300

What is a reduced equivalent ratio of 5:10?

What is the reduced ratio equivalent to 5:10 is 1:2 because both sides can be reduced by 5. 

300

If Marcus runs 1/5 of a mile in one hour, at the same rate how long will it take him to run 1 mile?

What is It will take him 5 hours.

300

If there are 13 golden retrievers being sold at a pet store and 6 of then have blonde fur, 1/2 of the dogs with blonde hair have blue eyes. How many dogs have blonde fur and blue eyes?


What is 3 dogs have blonde fur and blue eyes. 

300

There are 48 books about historical fiction in the library. If 1/2 of them are written by Philippa Gregory how many are written by her? 

What is 24 books are written by Philippa Gregory. 

300

There are 15 members on a basketball team, only 5 can play at a given time. Out of the 5 players only 2 players scored. Write a Part to Part ratio that represents the amount of players on the team to the amount of players who scored.  

What is the Part to Part ratio that represents the amount of players on the team to the amount of players who scored is 15:2.

400

If there are 7 boys in a class and 4 girls what is the ratio girls to boys?

What is the ratio girls to boys is 4:7 

400

If Katrin eats 9 pieces of sushi every night. It takes her 15 minutes to eat the wasabi. At that rate what is the total amount of time it will take her to eat the wasabi in one week? 

What is as a total it will take her 105 minutes to eat the wasabi in one whole week. 

400

At a restaurant there are 6 tables. Out of the 6 tables 2 of them don't have their food yet. Out of the two tables that don't have their food only one of them are having a conversation. How is this a part to part situation?  

What is this is a Part to Part situation because out the total (six tables) one part of the 6 doesn't have their food yet. A part of the part of the tables that do not have their food are not talking. Therefore, this would be a Part to Part situation. 

400

There are 240 skiing passes for the ski club. A group of friends have 32 of those passes. Is this a Part to Whole ratio? 

What is this is a Part to Whole Ratio because the whole is the 240 total skiing passes and the part is 32 of those that the group of friends have. 

400

There are 50 gymnasts who are competing. At bar only 7 of the gymnasts received a perfect score. Does the ratio 50:7 represent Part to Part ratio or a Part to Whole ratio? 

What is this represents a Part to Whole ratio because the whole is 50 gymnasts and the number of gymnasts who got a perfect score is 7. 

500

If there is 16 pieces of gum in a pack and 5 are eaten in a day, what is the ratio to the amount of gum that isn't eaten to the amount of gum that comes in a pack?

What is the ratio from gum that isn't eaten to the number of pieces in a pac is 11:16

500

Jacob can see 127 tadpoles in one pond in the first week of June. By the second rate the population of the tadpoles increased twice the amount. At this rate how many tadpoles are in the pond by the third week?

What is in the third week there would be 508 tadpoles in the pond. 

500

There are 509 toys that a factory makes and 18 of the toys are about superheros. If 1/3 of the toys about superheros are about spiderman, what is the ratio between the amount of superhero toys to spiderman toys?

What is the ratio from superman toys to spiderman toys is 18:6 or 3:1.

500

There are 120 chocolate factories in New Jersey. 6 of those chocolate factories only make dark chocolate. What is the ratio of chocolate factories that make dark chocolate to the the factories that make all chocolates. 

What is the ratio of dark chocolate factories to the factories that make all chocolates is 6:120 or 1:20.

500

In softball there are 500 batters and 20 batters hit 50 home runs in one game. At this rate how many how many home runs are hit in 8 games? 

What is there would be 400 home runs in 8 games.