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Comparing and Scaling: End of Year Review

Total questions: 77

Worksheet time: 2hrs 6mins

Name
Class
Date
1.
Are the two ratios proportional?
a)
YES
b)
NO
2.
Are the two ratios proportional?
a)
YES
b)
NO
3.
Solve the proportion below
a)
21
b)
7
c)
8
d)
24
4.
Solve the proportion below:
a)
42
b)
6
c)
2
d)
28
5.
Solve the proportion below:
a)
418
b)
2
c)
38
d)
11
6.
The class has 12 girls and 16 boys. What is the ratio of total students to boys? (simplest form)
a)
28/16
b)
7/4
c)
16/28
d)
12/16
7.
The pet store has 18 dogs toys for sale. 10 toys are frisbees and the rest are bones. What is the ratio of bones to frisbees in simplest form?
a)
5/9
b)
8/10
c)
4/5
d)
18/10
8.
What is a proportion?
a)
When two ratios can be simplified
b)
When two ratios are equivalent and show the same value
c)
When two ratios have the exact same numbers
d)
When two ratios can be multiplied by 2
9.
12 ounce shampoo bottle lasts Mike 16 weeks.  How long would you expect an 18-ounce bottle of the same brand to last him?
a)
24 weeks
b)
6 weeks
c)
30 weeks
d)
20 weeks
10.
A 6-ounce package of fruit snacks contains 45 pieces.  How many pieces would you expect in a 10-ounce package?
a)
25 pieces
b)
35 pieces
c)
75 pieces
d)
70 pieces
11.
Sue types 3 pages in the same amount of time that Mary types 4.5 pages.  If Sue and Mary start typing at the same time, how many pages will Mary have typed when Sue has typed 11 pages?
a)
16.5 pages
b)
16 pages
c)
15 pages
d)
15.5 pages
12.
A grading machine can grade 48 multiple-choice tests in 1 minute.  How log will it take the machine to grade 300 tests?
a)
6 minutes
b)
6.25 minutes
c)
5.25 minutes
d)
5 minutes
13.
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?
a)
90 min
b)
30 min
c)
32 min
d)
30 min
14.
A shop produces 39 wetsuits every 2 weeks.  How long will it take the shop to produce 429 wetsuits?
a)
18 wk
b)
20 wk
c)
22 wk
d)
24 wk
15.
Of the 50 fish John caught from the lake, 14 were trout.  The estimated population of the lake is 7,500.  About how many trout would you expect to be in the lake?
a)
2,100 trout
b)
2,000 trout
c)
2,200 trout
d)
2,300 trout
16.
Find the Unit Rate.
405 rotations in 5 minutes    
a)
81 rotations per minute
b)
73 rotations per minute
c)
18 rotations per minute
d)
810 rotations in 10 minutes
17.
Do the ratios form a proportion?
a)
Yes, they form a proportion.
b)
No, they do not form a proportion.
18.
Do the ratios form a proportion?
a)
Yes, they form a proportion.
b)
No, they do not form a proportion.
19.
Solve the proportion.
a)
q=2
b)
q=9
c)
q=4.5
d)
q=6
20.
Solve the proportion.
a)
p=31.3
b)
p=308
c)
p=924
d)
p=532
21.
Name the constant of proportionality.
a)
20
b)
40
c)
16
d)
35
22.
Name the constant of proportionality.
a)
8
b)
16
c)
6
d)
3
23.
In an animal shelter, the ratio of dogs to cats is 5 to 3. There are 25 dogs.  Write and solve a proportion to find the number c of cats.
a)
c=15
b)
c=18
c)
c=21
d)
c=16
24.
The constant of proportionality can be found by finding the __________  _____________.
a)
unit rate
b)
ratio rate
c)
proportion answer
d)
rational number
25.
There are 56 cookies and 14 cupcakes leftover at a bake sale. What is the ratio of cupcakes to cookies?
a)
56/14
b)
1/4
c)
2/9
d)
14/56
26.
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?
a)
12 dogs, 13 cats
b)
14 dogs, 21 cats
c)
5 dogs, 10 cats
d)
20 dogs, 23 cats
27.
Find the unit rate of $97.50 for 15 pizzas.
a)
$6.52 per pizza
b)
$82.50 per pizza
c)
$5.50 per pizza
d)
$6.50 per pizza
28.
If you buy 20 apples for $10.00, how much is one apple?
a)
$2.00
b)
$10.00
c)
$0.10
d)
$0.50
29.
It costs $8.21 for 3 candy bars. What is the unit price for one candy bar? 
a)
$2.74
b)
$2.73
c)
$71.8
d)
$0.37
30.
A box of cereal cost $3.59 for 30 oz. How much is the unit rate per ounce? Round to the nearest cent.
a)
11 cents
b)
12 cents
c)
13 cents
d)
10 cents
31.
A proportional relationship can be written as an equation in the form ____ = _____  _____
a)
y = k+x
b)
y = k-x
c)
y = kx
d)
y = k/x
32.

Last month, Mr. Deland spent 12 hours watching football and 15 hours reading. The same month, Mr. Crawford spend 22 hours watching football and 32 hours reading. Who had a lower ratio of time spent watching football to time spent reading?

a)

Mr. Deland

b)

Mr. Crawford

c)

Mr. Mills

d)

Neither; they are equivalent

33.
What is a Ratio?
a)
Is a comparison of two quantities 
b)
A rate with a denominator of one
c)
It is when the only factor the numerator and denominator share is a one 
d)
Two decimals that can be multiplied
34.

DURING the game, players prefer juice to water by a ratio of 4 to 1.

a)

True

b)

False

35.

25% of players prefer water AFTER the game.

a)

True

b)

False

36.

More than half of the players prefer a sports drink DURING the game.

a)

True

b)

False

37.

Ryan took 15 minutes to type his 450-word report. At this rate, how many words could he type in 20 minutes? Show all work.

a)

30 words

b)

60 words

c)

300 words

d)

600 words

38.

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?

a)

5 batches

b)

10 batches

c)

50 batches

d)

75 batches

39.

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. Betty and Derek want to put the punch in bowls that hold 20 cups each. How many bowls will they need?

a)

2 bowls

b)

3 bowls

c)

5 bowls

d)

10 bowls

40.
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.
a)
Sargento
b)
Velveeta
41.
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.
a)
Oreos
b)
Chips Ahoy
42.
A factory produces 6 motorcycles in 9 hours. Determine how many hours it takes to produce 16 motorcycles at this rate.
a)
2.6 hours
b)
27 hours
c)
24 hours
d)
26 hours
43.
Calculate the better buy.
a)
2-ounce bottle of soap for $1.80
b)
8-ounce bottle of soap for $7.28
44.
An eight pack of juice boxes costs $4.79, and a 12 pack of juice boxes cost $6.59. Use this information to calculate the better buy.
a)
8 pack
b)
12 pack
45.

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?

a)

Mix A

b)

Mix B

c)

Mix C

d)

Mix D

46.

Jenny makes punch using 6 cups concentrate, 9 cups water. If she makes 4 batches of her punch, does she have enough to serve 60 cups?

a)

Yes

b)

No

47.

Emma is making her famous pudding pie for the holidays. The recipe calls for 3 2/3 cups of milk for every 2 1/2 boxes of pudding. Everyone is asking her to make the pie, so she needs to make a lot. She realizes to make all of her pies, she will need 14 boxes of pudding. How many cups of milk will she needs for this many boxes of pudding? Set up a proportion to solve.

a)

15 5/28 cups

b)

20 8/15 cups

c)

21 1/6 cups

48.

The ratio of girls to boys is 25 to 20. If there are 630 students in the school, how many are boys?

a)

504 boys

b)

280 boys

c)

350 boys

d)

300 boys

49.

A pair of boots are $94.99. They are 25% off. With this discount, what is the final price?

a)

$71.24

b)

$118.74

c)

23.7475

d)

$23.75

50.
Mrs. Lindenberger is buying some groceries.  They total to $35.50.  Sales tax is 4.5%.  When she goes to pay, how much will she pay?
a)
$1.60
b)
$37.10
c)
$40.00
d)
$2.50
51.
A student earned a grade of 80% on a math test that had 30 problems.  How many problems on this test did the student answer correctly?
a)
17 problems
b)
24 problems
c)
20 problems
d)
18 problems
52.

A product that regularly sells for $425 is marked down to $318.75. What is the discount rate?

a)

20%

b)

25%

c)

$106.25

d)

75%

53.

Jan bought a new sweater. It was priced at $32.00 and there was a 25% discount. She gave the cashier $40.00. What was her change?

a)

$24.00

b)

$16.00

c)

$8.00

d)

Jan did not get any change.

54.

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.

a)

$1.5

b)

$1.50

c)

$.25

d)

$1.45

55.
Jessica was planning a trip to Jamaica. Before going, she did some research and learned that the exchange rate is one Jamaican dollar for 0.5 US dollars. How much Jamaican money would she get if she exchanged $28?
a)
$56
b)
$14
c)
$5.60
d)
$140
56.

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

a)

1.75 acres

b)

6 acres

c)

3 acres

d)

4.25 acres

57.

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?

a)

$14,531.25

b)

$24,218.75

c)

$4,843.75

d)

$13,500

58.

Katie completes 2/3 of a craft project in one and a half hours. How long does it take Katie to complete the whole project?

a)

2 hours

b)

2 1/2 hours

c)

2 1/4 hours

d)

2 3/4 hours

59.

A smoothie is made of 60% fruit and 40% water. If 4 cups of smoothie is made, how much fruit and how much water is needed?

a)

.6 cups fruit and .4 cups water

b)

2.4 cups fruit and 1.6 cups water

c)

1.6 cups fruit and 2.4 cups water

d)

.4 cups fruit and .6 cups fruit

60.

The ratio of boys to girls is 10 to 12. If there are 132 girls, how many students are there all together?

a)

242 students

b)

424 students

c)

321 students

d)

123 students

61.

The produce department of a grocery store sold 288 pounds of tomatoes. The weight represented 72% of the shipment the store received. The rest spoiled and had to be discarded. How many pounds of tomatoes were originally received?

a)

200 pounds

b)

300 pounds

c)

500 pounds

d)

400 pounds

62.

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?

a)

$6,000

b)

$900

c)

$600

d)

$9,000

63.

Grandma Flo tries to make a famous recipe for pink lemonade. She creates a mixture containing 30% concentrate and 70% water. If she has 8 cups of lemonade, how many of the cups are concentrate?

a)

4.2 cups concentrate

b)

3.2 cups concentrate

c)

2.4 cups concentrate

d)

3.8 cups concentrate

64.

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

a)

16 claims

b)

280 claims

c)

160 claims

d)

304 claims

65.

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

a)

$12,000

b)

$14,000

c)

$13,000

d)

$11,000

66.

Karissa runs 10 miles in 2 and a half hours at a steady pace. How long does it take her to run 5 miles?

a)

One hour and 15 minutes

b)

One hour and 25 minutes

c)

One hour and 30 minutes

d)

One hour and 5 minutes

67.

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.

a)

m=55h, cop = 55

b)

h=55m, cop = 1/55

c)

m=55h, cop = 1/55

d)

h=55m, cop=55

68.

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?

a)

4 cups of fruit

b)

3.2 cups of fruit

c)

12.8 cups of fruit

d)

9.5 cups of fruit

69.

Michelle is making a mixture of food for the zebras at the zoo. The zebra food is made of a mixture of plant leaves and fruit. 85% of the mixture is plant leaves and 15% of the mixture is fruit. If she has 20 cups total, how many cups of plant leaves does she need?

a)

4.6 cups of plant leaves

b)

17 cups of plant leaves

c)

113.3 cups of plant leaves

d)

3.5 cups of plant leaves

70.

The ratio of girls to boys is 5 to 4. If there are 720 students in the school, how many are boys? How many are girls?

a)

144 girls and 576 boys

b)

600 girls and 120 boys

c)

400 girls and 320 boys

d)

540 girls and 180 boys

71.

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.

a)

$.40 per gallon; C = .40g

b)

$6.18 per gallon; C = 6.18g

c)

$3.09 per gallon; C = 3.09g

d)

$2.47 per gallon; C = 2.47g

72.

Wegmans sells apples at 6 for $4.25. How many apples could you buy for $30?

a)

40 apples

b)

41 apples

c)

42 apples

d)

43 apples

73.

Jessica wants to paint her bedroom green. She has been told two different plans:


Plan A: Use 4 cups of blue and 3 cups of yellow

Plan B: Use 2 cups of blue and 1 cup of yellow

Plan C: Use 9 cups of blue and 4 cups of yellow

Plan D: Use 12 cups of blue and 6 cups of yellow


Which plan will give her paint that is lighter green?

a)

Plan A

b)

Plan B

c)

Plan C

d)

Plan D

74.

80 students on Team Discovery were surveyed asking which food was their favorite. Select ALL statements that are true based on the data in the table.

a)

The ratio of students who prefer pizza to students who prefer pasta is 6 to 5.

b)

30% of the people surveyed prefer pizza.

c)

The fraction of students who prefer chicken fingers is 11/20.

d)

The amount of students who prefer pizza is 2/3 of the amount of students who prefer chicken fingers.

75.

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.

a)

5 miles per hour

b)

2.8 miles per hour

c)

.08 miles per hour

d)

7 miles per hour

76.

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?

a)

$2,100

b)

$1,750

c)

$4,000

d)

$3000

77.

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 $1,750, how much commission did the salesperson who sold the boat earn?

a)

$750

b)

$1,000

c)

$225

d)

$525