Free Printable Comparing and Scaling

Worksheets

Comparing and Scaling - 1st hour

Total questions: 40

Worksheet time: 2hrs 2mins

Name

Class

Date

Donuts4U has donuts on sale at 12 for $7.56. What is a unit rate?

6 for $3.76

3 for $1.89

$0.63 per donut

$1.59 per donut

A van travels 180 miles on 6 gallons of gas. How many gallons will it need to travel 750 miles?

250 gallons

225 gallons

25 gallons

15 gallons

If tickets are on sale for 20 tickets for $16.00, how many tickets can be bought for $50? Assuming you can't buy part of a ticket.

50 tickets

40 tickets

62 tickets

100 tickets

Recipe calls for 4 cups concentrate and 5 cups water:
160 people going to camp. How many batches do you need to guarantee everyone gets 1 cup of juice.

17 batches

15 batches

18 batches

10 batches

There are 75 Sour Patch Kids in a 15 oz bag. Which proportion is written correctly so that you can find the number of Sour Patch Kids in a 7 oz bag?

A survey of 120 players in a soccer league asked which drink they preferred during and after the game. What percent of the students preferred water after the game?

30%

45%

25%

50%

A survey of 120 players in a soccer league asked which drink they preferred during and after the game. What fraction of students preferred juice during the game?

1/12

10/12

1/3

Write an equation for this situation.

y=9.75x

y=19x

y=19.25x

y=9.5x

Justin measured a house and its lot and made a scale drawing. The scale of the drawing was 5 inches = 3 feet. If the backyard is 80 inches in the drawing, how long is the actual yard?

21 feet

48 feet

66 feet

Whale

10.

Which of the following is a UNIT RATE?

10 miles / 2 hours

$6 for each hour

1 box / $3

15 pounds every 5 servings

11.

Which of the following is NOT a unit rate?

^{2 cars}

1 lane

45 miles per hour

27 sandwiches in 3 weeks

2 tanks of gas

1 yard

12.

Jordyn bought 4 gallons of gasoline and it cost $16.80. What is the price per gallon?

$67.20 per gallon

I have no clue!

$3.00 per gallon

$4.20 per gallon

13.

In an animal shelter, the ratio of cats to dogs is 3 to 5. If there are a total of 25 dogs at the shelter, how many cats do they have?

14.

A cake recipe calls for 1.5 cups of milk and 3 cups of flour. Seth made a mistake and used 5 cups of flour. How many cups of milk should he use to keep the proportions correct?

2.5 cups milk

1.75 cups milk

2 cups flour

2.25 cups milk

15.

The class has 12 girls and 16 boys. What is the ratio of total students to boys? (simplest form)

28/16

7/4

16/28

12/16

16.

A 6-ounce package of fruit snacks contains 45 pieces. How many pieces would you expect in a 10-ounce package?

25 pieces

35 pieces

75 pieces

70 pieces

17.

The waiting time to ride a roller coaster is 20 minutes when 150 people are in line. How long is the waiting time when 240 people are in line?

90 min

30 min

32 min

30 min

18.

Find the Unit Rate.
405 rotations in 5 minutes

81 rotations per minute

73 rotations per minute

18 rotations per minute

810 rotations in 10 minutes

19.

The ratio of dogs to cats at a pet store is 2 to 3. Which of these shows the possible numbers of dogs and cats in the pet store?

12 dogs, 13 cats

14 dogs, 21 cats

5 dogs, 10 cats

20 dogs, 23 cats

20.

Find the unit rate of $97.50 for 15 pizzas.

$6.52 per pizza

$82.50 per pizza

$5.50 per pizza

$6.50 per pizza

21.

If you buy 20 apples for $10.00, how much is one apple?

$2.00

$10.00

$0.10

$0.50

22.

It costs $8.21 for 3 candy bars. What is the unit price for one candy bar?

$2.74

$2.73

$71.8

$0.37

23.

Betty and Derek are making punch for a class party. The directions on the punch mix say to use 3 cups of mix for every 7 cups of water. Betty and Derek want to make enough punch so that each of the 25 people at the party have two cups. How many batches of punch mix will Betty and Derek need to use?

5 batches

10 batches

50 batches

75 batches

24.

Sargento cheese slices $2.48 for 10 slices
or
Velveeta Cheese slices $3.18 for 12 slices
Find the unit price for each and choose the better deal.

Sargento

Velveeta

25.

Oreos $2.98 for 15.5 oz.
or
Chips Ahoy $2.50 for 14 oz.
Find the unit price of each and choose the better deal.

Oreos

Chips Ahoy

26.

Compare these mixes of apple juice:

Mix A= 5 cups concentrate, 8 cups water

Mix B= 3 cups concentrate, 6 cups water

Mix C= 6 cups concentrate, 9 cups water

Mix D=3 cups concentrate, 5 cups water

Which mix is the strongest?

Mix A

Mix B

Mix C

Mix D

27.

A grocery store has a 20% markup on bottle of soda. The bottle of soda costs the store $1.25. Find the selling price. Round to nearest cent if necessary.

$1.5

$1.50

$.25

$1.45

28.

A person operating a machine can mow 0.75 acres in 30 minutes. How many acres can this person mow in 2 hours?

1.75 acres

6 acres

3 acres

4.25 acres

29.

At Carla's Used Cars, Carla sold a car for $16,200. She marks up the buying price by 20%. How much did Carla buy the car for?

$14,531.25

$24,218.75

$4,843.75

$13,500

30.

Phillip sells electronics and works on commission. If his commission is 4% of what he sells, and he sells $15,000 worth of electronics, what are his earnings?

$6,000

$900

$600

$9,000

31.

Dr. Hall files 320 insurance claims every month. If 5% of those claims are rejected, how many claims are accepted?

16 claims

280 claims

160 claims

304 claims

32.

The selling price of a car is $16,100. The markup rate is 15%. What is the buying price?

$12,000

$14,000

$13,000

$11,000

33.

Sarah drives 55 miles per hour. Write an equation relating the miles driven, m, and the hours it takes, h. Then identify the constant of proportionality.

m=55h, cop = 55

h=55m, cop = 1/55

m=55h, cop = 1/55

h=55m, cop=55

34.

Giya is making a mixture of food for the elephants at the zoo. The elephant food is made of a mixture of plant leaves and fruit. 80% of the mixture is plant leaves and 20% of the mixture is fruit. If she has 16 cups of plant leaves, how many cups of fruit does she need?

4 cups of fruit

3.2 cups of fruit

12.8 cups of fruit

9.5 cups of fruit

35.

Find the unit rate (cost per gallon) for $12.35 for 5 gallons of milk and then write an equation relating to cost C to the gallons g.

$.40 per gallon; C = .40g

$6.18 per gallon; C = 6.18g

$3.09 per gallon; C = 3.09g

$2.47 per gallon; C = 2.47g

36.

Stacy can run 3.75 miles in 3/4 of an hour. How many miles per hour can she run? Set up a proportion to solve.

5 miles per hour

2.8 miles per hour

.08 miles per hour

7 miles per hour

37.

A sporting goods store sells new and used boats. The markup on the boats is 75%. A salesperson who sells a boat earns a 30% commission on the markup amount. If a salesperson sold a boat for $7,000, how much did the sporting goods store buy it for?

$2,100

$1,750

$4,000

$3000

38.

A clothing store pays $15 for a shirt. The percent markup is 85%. Find the selling price. Round to nearest cent if necessary.

$12.75

$100

$27.80

$27.75

39.

Which describe the shaded portion of the figure?

1/2 = 50%

1/6 = 0.166....

1/5 = 25%

1/5 = 20%

40.

The waiting time to ride a roller coaster is 20 minutes when 150 people are in line. How long is the waiting time when 240 people are in line?

90 min

30 min

32 min

30 min

100 %

Comparing and Scaling - 1st hour

Total questions: 40

Worksheet time: 2hrs 2mins

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