GCF or LCM
x or / Fractions
Word Problems
Ratios
Rate Tables or Tape Diagrams
100

What is the GCF of 20 and 45?

5

100

3 1/2 x 2/3

14/6 or 2 1/3 

100

Drew has 3 pounds of strawberries. How many pies can he make if each pie requires 1/3 of a pound of strawberries? 

9 pies

100

Find the unit rate.

154 miles for 7 gallons

22 miles for 1 gallon

100

Create a tape diagram using the ratio, 5 white : 6 shaded. You have a total of 44 tiles. 

How many white tiles? 

How many shaded tiles? 

20 white tiles

24 shaded tiles

200

What is the LCM of 48 and 72?

144

200

4 x 2/5

8/5 or 1 3/5

200

At lunch, Heather eats a PB&J sandwich every 5th day and she drinks milk every 4th day. If she has both of those items today, how many days will pass before she will have both again? 

20 days 

200

Which is the better buy? 

    $5.60 for 14 oz of cranberry sauce

    $7.92 for 18 oz of cranberry sauce

A. Find the unit cost of each can. 

B. How much do you save on the cheaper can?

$0.40/oz and $0.44/oz

The first option is cheaper by $0.04/oz.

200

Create a tape diagram using the ratio of 2 cups of blueberries and 5 cups of blackberries. The recipe calls for 12 cups of blueberries. 

How many cups of blackberries? 

How many total cups of berries are needed? 


Blackberries: 30 cups 

Total: 42 cups

300

What is the GCF and LCM of 36 and 60?

GCF is 12

LCM is 180

300

1 1/2 divided by 2/16

48/4 or 12

300

Shay uses 1 1/2 cups of butter to make 6 loaves of bread. How much butter is in one loaf? 

1/4 or 3/12 cup of butter

300

It snowed 9 out of every 12 days in the month of February. There are 28 days in February that year.  

On how many days did it snow that month?

21 days

300

How many words can Alexia write in 6 minutes? 

Words       90     _____     ____   

Minutes     2       _____       6 

Unit Rate: 45 words/ 1 min 

270 words 

400

What is the GCF and LCM of 12, 30, 72? 

GCF is 6

LCM is 360

400

7/8 divided by 3 1/2 

14/56 or 1/4 

400

The following ads run as follows: 

Toothpaste every 4 minutes, Deodorant every 8 minutes, and Hairspray every 16 minutes. 

If they happen together at 6:00 PM, what is the next TIME they happen together? 

LCM is 16 minutes 

6:16 PM

400

11 out of every 15 students participate in sports after school. There are a total of 135 students in 8th grade. 

A. How many students play a sport after school?

B. How many students do NOT play a sport after school?



A. 99 students

B. 36 students 

400

How many games did Dylan play to score 424 points? 

Points     106     _____       424 

Games      2       _____       _____

Unit Rate: 53 points/ 1 game 

8 games

500

Mr and Mrs. Waibel are looking for a new truck. Here are the gas mileage for each option. Compare the unit rates, choose the best deal, and EXPLAIN your choice.  

   A: 440 miles for 20 gallons  

   B: 384 miles for 16 gallons 

   C: 506 miles for 22 gallons 

A. 22 miles per gallon

B: 24 miles per gallon

C: 23 miles per gallon

Truck B is the best choice because it can go further on 1 gallon of gas than the other options. It goes 1 mile further than Truck C and 2 miles further than Truck C.  

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