Name: 
 

Lesson 4: Solving Problems Using Patterns



 1. 

There are 50 members in a band.  Every 6th band member is playing a trombone and every 2nd band member is wearing a hat.

How many band members are wearing a hat and playing the trombone?
a.
5
b.
6
c.
7
d.
8
 

 2. 

Shana walks her dog every 3rd day.  Baily walks his dog every 4th day. In a 30 day month, how many times do they walk their dogs together?
a.
2
b.
3
c.
4
d.
5
 

 3. 

If Shana also runs every 5th day, how many times in a 30 day month does she walk her dog and run on the same day?
a.
2
b.
3
c.
4
d.
5
 

 4. 

If Bailey swims every 5th day, how many times in a 30 day month does he walk his dog and swim on the same day?
a.
1
b.
2
c.
3
d.
4
 

 5. 

Brayden swims every 5th day.  Kaylee swims every 6th day.  How many times in a 60 day period do they swim on the same day?
a.
1
b.
2
c.
3
d.
4
 

 6. 

There are 100 dogs in a dog show.  Every 4th dog is a Collie.  Every 5th dog is a puppy.  Every 3rd dog is wearing a collar and every 8th dog is on a leash.

How many dogs are wearing a collar and are on a leash?
a.
1
b.
2
c.
3
d.
4
 

 7. 

How many dogs are Collies and are wearing a collar?
a.
5
b.
6
c.
7
d.
8
 

 8. 

How many dogs are Collie puppies?
a.
5
b.
4
c.
3
d.
2
 

 9. 

How many puppies are wearing leashes?
a.
1
b.
2
c.
3
d.
4
 

 10. 

How many puppies are wearing leashes and collars?
a.
0
b.
1
c.
2
d.
3
 



 
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