Writing Ratios 1

Classwork

Write the ratio in 3 different ways.

  1. There are 5 boys to every 3 girl students in the class. ______
  2. There are 2 cats to 1 dog in the animal shelter. ______
  3. There are 3 computers to 1 student in the school. ______
  4. There are 4 desks to 1 student in the school.______
  5. There are 4 cups to 3 dishes in the kitchen.______

Write the ratio in simplest form.

The table at the right shows how many students voted on their favorite type of movie in Ms. William’s class.

  1. What is the ratio of votes of action movies to horror movies?______
  2. What is the ratio of votes of drama movies to romance movies?______
  3. What is the ratio of votes of action movies to drama movies?______
  4. What is the ratio of votes of romance movies to horror movies?______
  5. What is the ratio of votes of horror movies to romance movies?______

Homework

Write the ratio in 3 different ways.

  1. There are 3 girls to 7 boys in band.______
  2. There are 3 hamsters to 2 gerbils at the pet store.______
  3. There are 23 students to 1 teacher at the school.______
  4. There are 4 pants to 3 dresses at the clothing store.______
  5. There are 4 batteries to 1 calculator.______

Write the ratio in simplest form.

The table at the right shows how many students voted on their favorite ice cream flavors in Mr. Smith’s class.

  1. What is the ratio of votes of chocolate to vanilla ice cream?______
  2. What is the ratio of votes of strawberry to cookies and cream ice cream?______
  3. What is the ratio of votes of cookies and cream to chocolate ice cream?______
  4. What is the ratio of votes of vanilla to cookies and cream ice cream?______
  5. What is the ratio of votes of chocolate to strawberry ice cream?______

Writing Ratios 2

Classwork

Compare the different pets that the students in Ms. Hamill’s class own in 4 different ways (describe in words):

  1. ______
  2. ______
  3. ______
  4. ______
  5. What is the ratio of the students that have a hamster to students that have a cat at home?___

Miranda has been collecting stickers. Use the picture at the right to write the following ratios:

  1. What is the ratio of to ?______
  1. What is the ratio of to ?______
  1. What is the ratio of to the total number of stickers?______
  1. What is the ratio of to the total number of stickers?______
  1. What is the ratio of the total number of stickers to ?______

Homework

Compare the different instruments that the students in Mr. Patel’s class play in 4 different ways (describe in words):

  1. ______
  2. ______
  3. ______
  4. ______
  5. What is the ratio of students that play the piano to the students that play the trumpet?___

Phil has a salt water fish tank at home. The table at the right shows the different animals that live in the tank. Use the table to answer the following questions.

  1. What is the ratio of clown fish to angelfish?______
  2. What is the ratio of anemones to snails?______
  3. What is the ratio of crabs to all animals in the tank?______
  4. What is the ratio of crabs to anemones?______
  5. What is the ratio of snails to all animals in the tank?______

Equivalent Ratios 1

Classwork

1

Are the following ratios equivalent? Write yes or no.

  1. and ______
  1. and ______
  1. and ______
  1. and ______
  1. and ______

Write an equivalent ratio for each:

  1. = ______
  2. =______
  3. =______
  4. =______
  5. =______

1

Homework

1

Are the following ratios equivalent? Write yes or no.

  1. and ______
  1. and ______
  1. and ______
  1. and ______
  1. and ______

Write an equivalent ratio for each:

  1. = ______
  2. =______
  3. =______
  4. =______
  5. =______

1

Equivalent Ratios 2

Classwork

Use the table at the right to answer the following questions. (There may be more than 1 answer)

  1. Which students have a ratio of 1 to 2 stickers?______
  2. Which two ratios are equivalent?______
  3. Which students have a ratio of 4 to 5 stickers?______
  4. Which students have a ratio of 2 to 1 stickers?______
  5. If Sandy had three times as many stickers as Susan, how many stickers did Sandy have?______
  1. What is the cost for 2 hamburgers?______
  2. What is the cost for 4 hamburgers?______
  3. What is the ratio of hamburgers to cost?______
  4. What is the cost of 10 hamburgers?______
  5. One cheeseburger costs $2.00. Fill out the following table.

Homework

Mr. Mundo’s class went on a field trip to the local petting zoo. The table at the right shows the animals the students saw at the farm. Answer the following questions.

Goats

  1. Which ratio of animals is 1 to 2?______
  2. Which animal had 3 times the number of rabbits?______
  3. Which two ratios are equivalent?______
  4. If there were four times as many ducks as rabbits, how many ducks were at the petting zoo?______
  5. Which ratio is 4 to 1?______

Use the table at the right to answer the following questions.

  1. How much does 1 gallon of gas cost?
  2. How much does 4 gallons of gas cost?
  3. What is the cost to gallon ratio?
  4. If Phillip’s car needs 18 gallons to fill up, how much will that cost?
  5. The cost of diesel fuel is $4.15 per gallon (more expensive than regular gas). Fill in the table using this information.

Equivalent Ratios 3

Classwork

  1. The ratio of doors to windows is 1 to 4. Fill in the missing numbers.

Door / 1 / 2 / 3 / 4 / 5
Window / 4 / 8 / 16
  1. Mila can run 2 miles for every 3 miles Bob can run. Fill in the table.

Mila / 2 / 4 / 8 / 10
Bob / 3
  1. For every 10 stickers a student collects in Ms. Park’s class, they earn a prize. Fill in the table.

Stickers / 10 / 20 / 30 / 40
Prize / 1 / 3
  1. Oranges costs 10 for $4.00. Fill in the table.

Oranges / 10 / 20 / 30 / 40 / 50
Price / $8.00
  1. A cake recipe calls for 1 cup of milk for every 2 cups of flour. Make a table that shows the amount of flour up to 6 cups of milk.
  1. Melinda is making purple paint. She needs to mix 2 parts red to 3 parts blue to get the purple shade she wants. Fill in the chart with the possible amounts she can make.

Fill in the correct values for the following tables.

1 / 2 / 3 / 4 / 5 / 6 / 7 / 8
2 / 4 / 6 / 10 / 14
4 / 8 / 12 / 16 / 20 / 24
6 / 12
2 / 4 / 6 / 8 / 10
10 / 20 / 40
1 / 3 / 5 / 7 / 9 / 11
$3.00 / $15.00

Homework

  1. The ratio of insects to arachnids is 8 to 5 at the museum. Fill in the table.

Insects / 8 / 16 / 24 / 32 / 40 / 48 / 56
Arachnids / 5 / 10
  1. James can run 3 miles for every 1.5 mile Carrie can run. Fill in the table.

James / 3 / 4 / 5 / 6 / 7
Carrie / 1.5 / 2.5 / 3
  1. For every 1 latte the café sells, they sell 3 cappuccinos.

Latte / 1 / 2 / 3 / 4
Cappuccino / 3 / 12
  1. Apples cost $5.00 for every 2 lbs.

Cost / $5.00 / $10.00 / $15.00
Lbs. / 2
  1. For every 3 stickers that Cassie earns, Michael earns 4. Fill in the table.

Cassie / 3 / 6 / 9 / 12 / 15 / 18
Michael / 4 / 8
  1. A recipe calls for 1 cup of sugar for every 2 cups of flour. Make a table showing the possible combinations.
  1. Phyllis is painting her house green. She needs to mix 3 parts yellow to 1 part blue to get the shade of green. Fill in the table to show the possible amounts she can use.

Fill in the correct values for the following tables.

10 / 20 / 30 / 40 / 50 / 60
30 / 60
2 / 3 / 4 / 5 / 6
$1.00 / $1.50
1 / 2 / 3 / 4 / 5 / 6
15 / 45

Rates and Unit Rates 1

Classwork

Find the unit rate.

  1. $60.00 in 5 hours
  2. 30 students per 2 teachers
  3. $2.97 for 3 rolls of paper towels
  4. 1275 computers for 425 students
  5. 60 cans for 30 days
  6. 35 meals for 5 days
  7. 300 miles in 6 hours
  8. $700 in 5 days
  9. 300 feet in 20 minutes
  10. 40 pages in 20 minutes

Homework

  1. $72.00 in 12 hours
  2. 120 students per 40 teachers
  3. 8 slices per 2 people
  4. 990 miles per 30 gallons of gas
  5. 60 votes per 10 hours
  6. 24 rolls of toilet paper for $16.00
  7. 1500 km in 3 hours
  8. 42 feet in 6 minutes
  9. 45 bags in 5 minutes
  10. $9.45 in 3 hours

Rates and Unit Rates 2

Classwork

  1. Ice cream is on sale at the store. You can buy 3 pints for $4.50. How much does one pint cost?
  2. Michelle bought 4 packs of soda for $10.00. How much did one pack cost?
  3. Bert bought 5 packs of butter for $9.95. How much was one pack?
  4. Sandra ran 4 miles in 60 minutes. How long did each mile take her?
  5. Mike can drive 345 miles on 15 gallons of gas. How many miles per gallon does his car get?

Homework

  1. Matt bought 3 cantaloupes for $2.07. How much does one cantaloupe cost?
  2. Sarah traveled 330 miles in 6 hours. How fast was she traveling?
  3. Melinda bought 16 oz. of blueberries for $9.44. How much did it cost per ounce?
  4. There are 1144 chairs in the school and 286 students. How many chairs are there per student?
  5. Michelle bought 8 heads of lettuce for $7.92. How much did each head of lettuce cost?

Rates and Unit Rates 3

Classwork

  1. Michelle is at the bakery buying donuts. She can buy 3 donuts for $2.25, 5 donuts for $3.25, or a dozen donuts for $7.68. Which is the best deal per donut?
  1. An 8 oz. soda can costs $0.96, a 12 oz. soda can costs $0.72, and a 32 oz. cup of soda costs $2.24. Which is the lowest cost per ounce?
  1. Melody makes $385 for working 7 days, Mike makes $225 for working 5 days, and Chelsea makes $180 for working 3 days. Who makes the least per day?
  1. Vika can run a mile in 15 minutes, Sandy can run 3 miles in 30 minutes, and Hyun can run 4 miles in 28 minutes. Who can run the fastest mile?
  1. Mel can drive 384 miles on 24 gallons of gas. Michael can drive 490 miles on 35 gallons of gas. Sheldon can drive 420 miles on 14 gallons of gas, and Kristina can drive 272 miles on 16 gallons of gas. Whose car has the best gas mileage?

Homework

  1. Lulu has to buy paper towels. She can buy 3 rolls for $2.97, 12 rolls for $10.80, or 20 rolls for $18.40. Assuming all the rolls are the same type of paper towel which is the best deal?
  1. Kelly wants gummy bears. She can buy an 8 oz. bag for $0.88, a 12 oz. bag for $1.20, or a 24 oz. bag for $2.16. Which bag should Kelly buy to get the best deal?
  1. Bert is at the bakery. He is looking at different types of cakes. He sees one that serves 2 and costs $4.50, another serves 8 and costs $10.00, and another cake that serves 10 and costs $20.00. Which cake is the most expensive per serving?
  1. Carlos can run 5 miles in 45 minutes, Kelly can run 10 miles in 80 minutes, and Mick can run 30 miles in 170 minutes. Who can run the fastest mile?
  1. Hailey can do 24 math problems in 48 seconds, Robert can do 30 math problems in 60 seconds, and Krista can do 90 math problems in 135 seconds. Who has the fastest time completing one problem?

Using Ratios to Convert Measurements 1

Classwork

  1. 36 inches = ___ feet
  2. 24 feet = ___ yards
  3. ____ inches = 4 feet
  4. 21,120 feet = ______yards
  5. 52,800 feet = ______miles
  6. 36 inches = ___ yards
  7. 144 feet = ___ yards
  8. 7,040 yards = ____ miles
  9. 144 inches = ___ yards
  10. ______feet = 5 miles
  1. Henry needed 3.5 feet of yarn for a school project. What is this length in inches?
  1. Kelsi’s room measures 12 feet by 13 feet. What are the dimensions in inches?
  1. Michelle lives 2.5 miles from school. What is this distance in feet?
  1. Carol ran 3 miles each day for a full week. What is the total distance she ran in yards?
  1. Katarina’s property measures 3,300 feet around. What is this distance in yards?

Homework

  1. ___ inches = 5 feet
  2. ___ feet = 24 yards
  3. 96 inches = ____ feet
  4. 10,560 feet = ______yards
  5. _____ feet = 3.5 miles
  6. 144 inches = ___ yards
  7. 513 feet = ___ yards
  8. ______yards = 4.5 miles
  9. 73 inches = ___ yards
  10. ______feet = 7 miles
  1. Catherine needs four pieces of ribbon that are 24 inches long. How many feet is this in total?
  1. Carla’s room measures 9.5 feet by 11.5 feet. What are the dimensions in inches?
  1. Robert lives 4 miles from school. What is this distance in feet?
  1. Cynthia walked 2 miles on Monday, jogged 1.5 miles on Tuesday, and ran 1 mile on Wednesday. What is this distance in feet that she exercised?
  1. Sam walked 1,680 feet to the post office from her house. She then walked 15,000 feet to the park and 15,000 feet back to the post office. What is the total distance she walked, in miles?

Using Ratios to Convert Measurements 2

Classwork

  1. 3 in = ______cm
  2. 4.5 ft = _____ m
  3. _____ gal = 18.95 l
  4. 0.5 ft = ____ m
  5. _____ ft = 3 m
  6. ____ mi = 3.2 km
  7. 6 mi = _____ km
  8. 3 gal = _____ l
  9. ___ in = 15.24 cm
  10. ____ mi = 8 km
  1. Mira had 5 inches of ribbon. How long is this in cm?
  1. Kaitlyn ran 2.5 miles. What is this distance in km?
  1. Matt weighs 65 kg. What is his weight in lb?
  1. Laura’s living room ceilings are 13 feet high. What is this height in m?
  1. Timmy walked 6.4 km. How far did he walk, in mi?

Homework

  1. 1.5 in = _____ cm
  2. 5 lb = _____ kg
  3. ___ lb = 4 kg
  4. 2 mi = _____ km
  5. 3.5 ft = ____ m
  6. ____ mi = 11.62 km
  7. 2.5 lb = _____ kg
  8. ____ ft = 1.2 m
  9. _____ in = 30.48 cm
  10. ____ gal = 2.54 l
  1. Karen’s mail box is 30 feet from her front door. What is this distance in meters?
  1. Sasha got a 10 lb bag of oranges. What is this weight in kg?
  1. Fred filled up a kiddie pool that held 30 gallons of water. What is this amount in liters?
  1. Paul lives 3.2 km away from school. What is this distance in miles?
  1. Craig can jump 4 feet in the air. How high does he jump, in meters?

Using Ratios to Convert Measurements 3

Classwork

  1. Miles has a bag of peanuts that weighs 64 oz. How many lbs of peanuts does he have?
  1. A medium size car weighs 1 ton. How many lbs do 3 cars weigh?
  1. Michelle has 8 pints of milk. How many quarts of milk does she have?
  1. Kelly has 3.5 kg of sugar. How many grams of sugar does she have?
  1. Peter needs 8 cups of water for his drink mix. How many pints is this?
  1. What is 2 pints and 4 cups multiplied by 2?
  1. What is 1 metric ton and 500 kg multiplied by 4?
  1. What is 4 lb and 8 oz multiplied by 3?
  1. What is 50 lb and 20 oz divided by 5?
  1. What is 10 meters and 100 cm divided by 10?

Homework

  1. A cake recipe calls for 12 cups of sugar at a bakery. How many pints is this?
  1. A rhino weighs 1.5 tons. How many lbs do 4 rhinos weigh?
  1. Sandy has 1 quart and 1 pint of soda. How many cups can she divide this amount into?
  1. A baby weighs 9 lb and 2 oz. What is the baby’s weight in ounces?
  1. Sonya drove 25 km to her friend’s house. What is this distance in meters?
  1. What is 3 kg and 500 g multiplied by 3?
  1. What is 10 km and 90 m divided by 5?
  1. What is 3 cups and 9 oz multiplied by 4?
  1. What is 100 km and 60 m multiplied by 10?
  1. What is 24 lb and 5 oz multiplied by 4?

Converting Unit Ratios 1

Classwork

Write the conversion factorthat you would multiply to the left unit to convert to the unit on the right.

  1. 10 miles  feet
  2. 2000 yards  miles
  3. 12 inches  feet
  4. 2 days  hours
  5. 45 minutes  seconds
  6. 20 lbs  ounces
  7. 3 hours  minutes
  8. 20 seconds  minutes

Homework

Write the conversion factor that you would multiply to the left unit to convert to the unit on the right.

  1. 15 feet  miles
  2. 1.5 feet  inches
  3. 240 seconds  minutes
  4. 7 days  hours
  5. 32 oz  pounds
  6. 34 weeks  days
  7. 36 months  year
  8. 5 cups  ounces

Converting Unit Ratios 2

Classwork

Find the equivalent rate.

Homework

Converting Unit Ratios 3

Classwork

Find the equivalent rate using a conversion factor.

  1. Kylie can make 4 friendship bracelets in 1 hour. How many can she make if she made them for 1 day?
  1. Fred makes $750 a week (working 5 days). How much does he make in one day?
  1. A snail can crawl 1 inch per minute. How many inches can it travel in one hour?
  1. A plant grows 1 inch per day. How many inches can it grow in one month? (Use 30 days for a month.)
  1. A bag fills with sand at 1 oz every 12 minutes. How much will it have been filled after 1 hour?

Homework

Find the equivalent rate using a conversion factor.

  1. A machine can make 30 yards of ribbon in one minute. How many yards of ribbon can it make in one hour?
  1. Linda makes $840.00 in one week. How much money does she make in one day?
  1. A boat can take 30 people around Manhattan in one hour. How many people will it carry in one day?
  1. Sarah can type 75 words per minute. How many words can she type in one hour?
  1. Michael’s juicer can make 8 oz of juice in 5 minutes. How much juice can the juicer make in one hour?

Percents and Fractions 1

Classwork

What percent is shaded? Write in percent and fraction form (simplified).

  1. ______
  1. ______
  1. ______
  1. ______
  1. ______

Shade in the correct percentage.

  1. 45%
  1. 50%
  1. 22%
  1. 90%
  1. 14%

Homework

  1. ______
  1. ______
  1. ______
  1. ______
  1. ______

Shade in the correct percentage.

  1. 15%
  1. 99%
  1. 75%
  1. 46%
  1. 11%

Percents and Fractions 2

1

Classwork

Find the percent the fraction equals.

Homework

Find the percent the fraction equals.

1

Percents and Fractions 3

1

Classwork

Write the fraction in simplified form.

  1. 99%
  1. 20%
  1. 75%
  1. 700%
  1. 2%
  1. 15%
  1. 4%
  1. 77%
  1. 10%
  1. 45%

Homework

  1. 5%
  1. 61%
  1. 99%
  1. 100%
  1. 95%
  1. 67%
  1. 40%
  1. 62%
  1. 32%
  1. 76%

1

Percents & Decimals 1

1

Classwork

Change the decimal into a percent.

  1. 0.08
  2. 0.78
  3. 1.12
  4. 3.5
  5. 0.99
  6. 0.1
  7. 2.45
  8. 1.01
  9. 0.98
  10. 0.42
  11. 5.67
  12. 0.05
  13. 0.11
  14. 0.024
  15. 0.091

Homework

  1. 0.09
  2. 0.6
  3. 8.9
  4. 0.991
  5. 1.2
  6. 0.77
  7. 0.789
  8. 1.05
  9. 0.45
  10. 0.66
  11. 0.85
  12. 1.33
  13. 2.221
  14. 0.98
  15. 1.65

1

Percents & Decimals 2

Classwork

Change the percent into a decimal.

1

  1. 89%
  2. 65%
  3. 74%
  4. 51.4%
  5. 0.72%
  6. 600%
  7. 125%
  8. 1.25%
  9. 312%
  10. 55%
  11. 41.2%
  12. 99.1%
  13. 100.1%
  14. 82.4%
  15. 61%

Homework

  1. 2%
  2. 1%
  3. 10%
  4. 21%
  5. 313%
  6. 0.09%
  7. 0.0001%
  8. 24.5%
  9. 56.2%
  10. 78.9%
  11. 90%
  12. 101%
  13. 81%
  14. 0.07%
  15. 0.019%

1

Using Percents 1

Classwork

Set up a proportion to find the answer.

  1. What is 20% of 5?
  2. What is 25% of 10?
  3. What is 70% of 25?
  4. What is 38% of 50?
  5. What is 45% of 20?
  6. What is 10% of 5?
  7. What is 55% of 100?
  8. What is 35% of 50?
  9. What is 36% of 25?
  10. What is 48% of 50?

Homework

  1. What is 28% of 25?
  2. What is 12% of 200?
  3. What is 50% of 50?
  4. What is 80% of 50?
  5. What is 92% of 50?
  6. What is 16% of 25?
  7. What is 20% of 20?
  8. What is 35% of 25?
  9. What is 30% of 100?
  10. What is 40% of 25?

Using Percents 2

Classwork

  1. Lewis surveyed 200 people to find out how many of them exercised. He found that 30% did exercise. How many people exercise from Lewis’s survey?
  1. Carol’s breakfast consisted of 300 calories. She calculated 25% of these calories came from protein. How many calories of her breakfast were from protein?
  1. There are 300 students in the 6th grade. 45% of the students are girls. How many girl students are in the 6th grade?
  1. Susan has 80 stickers. 25% of the stickers are holographic. How many are not holographic?
  1. Milo has 800 jelly beans. He said he will give 45% to his sister. How many jellybeans will his sister get?

Homework

  1. Out of the 100 student surveyed in the 6th grade, 20% said black was their favorite color. How many students chose black as their favorite color?
  1. Chris surveyed his high school and found that 64% of the 400 students use the computer for at least one hour after school. How many students is this?
  1. There are 25 students in the music class. 20% of the students play an instrument. How many students do not play an instrument?
  1. There are 400 animals at the farm. 35% of the animals are sheep. How many sheep are on the farm?
  1. There are 25 students in Ms. Smith’s class. 20% said they will bring in beverages for the class dance. How many students will bring beverages?

Using Percents 3

Classwork

  1. What is 150% of 20?
  2. What is 300% of 110?
  3. What is 210% of 25?
  4. What is 150% of 10?
  5. What is 175% of 50?
  6. What is 110% of 10?
  7. What is 130% of 200?
  8. What is 117% of 360?
  9. What is 200% of 10?
  10. What is 132% of 210?

Homework

  1. What is 140% of 150?
  2. What is 220% of 10?
  3. What is 175% of 25?
  4. What is 130% of 500?
  5. What is 400% of 200?
  6. What is 330% of 10?
  7. What is 150% of 50?
  8. What is 450% of 10?
  9. What is 225% of 20?
  10. What is 110% of 5?

Using Percents 4

Classwork

  1. 20 is 40% of what number?
  2. 15 is 60% of what number?
  3. 16 is 32% of what number?
  4. 43 Is 86% of what number?
  5. 50 is 25% of what number?
  6. 8 is 40% of what number?
  7. 12 is 120% of what number?
  8. 4 is 60% of what number?
  9. 5 is 100% of what number?
  10. 10 is 140% of what number?

Homework

  1. 60 is 30% of what number?
  2. 24 is 48% of what number?
  3. 7 is 700% of what number?
  4. 36 is 144% of what number?
  5. 50 is 25% of what number?
  6. 40 is 160% of what number?
  7. 9 is 72% of what number?
  8. 18 is 90% of what number?
  9. 20 is 200% of what number?
  10. 45 is 180% of what number?

Ratios, Proportions, and Percents Unit Review