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Unit 8: ratios, rates, and proportions

Total questions: 80

Worksheet time: 6hrs 38mins

Name
Class
Date
1.

You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?

a)

$8 per pound

b)

$35 per pound

c)

$5 per pound

d)

$0.125 per pound

2.

A store has 120 customers in 6 hours. What is the unit rate in customers per hour?

a)

16 customers per hour

b)

12 customers per hour

c)

20 customers per hour

d)

15 customers per hour

3.

Will spent $3.75 for 3 pounds of granola. What is his unit rate in dollars per pound?

a)

$.50 per pound

b)

$1.25 per pound

c)

$3 per pound

d)

$2.50 per pound

4.

A cashier at the grocery store rung up 2 customers in 8 minutes. At this rate, how many customers can he ring up in 30 minutes?

a)

16 customers

b)

10.5 customers

c)

7.5 customers

d)

14 customers

5.

After 3 hours, Ernie had travelled 195 miles. If he travels at a constant speed, how far will he have travelled after 5 hours?

a)

400 miles

b)

325 miles

c)

575 miles

d)

650 miles

6.

If Antonia can type 408 words in 4 minutes, how many words can she type per minute?

a)

408 words per minute

b)

100 words per minute

c)

400 words per minute

d)

102 words per minute

7.

It cost me $46.80 to fill my 13-gallon gas tank. What was the price of gas per gallon?

a)

$3.60

b)

$3.55

c)

$3.40

d)

$3.50

8.

Which is the better buy? A 12-pack of Pepsi for $3.50 or a 6-pack for $1.80?

a)

The 12-pack

b)

The 6-pack

c)

They're the same

d)

Neither, I prefer Coke

9.

You go to the grocery store to buy dog food. The store has three sizes available:


A 20-lb bag for $23.44

An 8-lb bag for $9.88

A 40-lb bag for $49.00


Which size bag has the lowest cost per pound rounded to the nearest cent?

a)

The 8-lb bag

b)

The 20-lb bag

c)

The 40-lb bag

d)

I have a cat

10.

If Maya makes $10 an hour at her after school job, how many hours will it take her to earn $150?

a)

10 hours

b)

1.5 hours

c)

15 hours

d)

20 hours

11.

A unit rate is a rate in which the unit in the denominator is:

a)

0

b)

3

c)

1

d)

2

12.

The Williams family bought 4 concert tickets for $148. What was the price per ticket?

a)

$40

b)

$37

c)

$32

d)

$20

13.
If Justin can type 408 words in 4 minutes, how many words can he type per minute?
a)
102 words per minute
b)
100 words per minute
c)
400 words per minute
d)
412 words per minute
14.
Which rate is equivalent to $9 per hour?
a)
$27 in 3 hours
b)
$28 in 4 hours
c)
$33 in 3 hours
15.
Which rate is equivalent to 6 miles per gallon?
a)
30 miles to 6 gallons
b)
24 miles to 8 gallons
c)
18 miles to 3 gallons
16.

Peter paid $79.80 for renting a bike for 6 hours. What was the rate per hour for renting the bike?

a)

$79.80

b)

$6.00

c)

$13.30

d)

$13.31

17.

If Maya makes $10 an hour at her after school job, how many hours will it take her to earn $150?

a)

10 hours

b)

1.5 hours

c)

15 hours

d)

20 hours

18.

A cashier at the grocery store rung up 2 customers in 8 minutes. At this rate, how many customers can he ring up in 32 minutes?

a)

10 customers

b)

7 customers

c)

8 customers

d)

12 customers

19.

Julie can type about 300 words in 5 minutes. At this rate, about how many words can she type in an hour (60 minutes=1 hour)?

a)

3000 words in an hour

b)

3600 words in an hour

c)

60 words in an hour

d)

5000 words in an hour

20.

A store had 2 blue chairs for $22.78 or 6 red chairs for $67.80. Which color chair has the lower unit price?

a)

2 blue chairs for $22.78

b)

6 red chairs for $67.80

21.
Ashley's car runs 65 miles per hour. How many miles will it run in 5 hours?
a)
325 miles in 5 hours
b)
260 miles in 5 hours
c)
200 miles in 5 hours
22.
Water flows from a faucet at a rate of 5 gallons every 25 seconds. At this rate, how many gallons will flow from the faucet in 45 seconds?
a)
9 gallons
b)
5 gallons
c)
11 gallons
d)
40 gallons
23.
150 grams of fertilizer is required for a land area of 6 square acres.  At this rate, how many grams of fertilizer is needed for 13 square acres?
a)
25 grams
b)
300 grams
c)
325 grams
d)
310 grams
24.
A car travels 160 miles in 4 hours.  At this rate, how far will the car travel in 7 hours?
a)
280 miles
b)
40 miles
c)
280 miles per hour
d)
240 miles
25.
A machine can pack 70 boxes of spaghetti in 5 minutes. At this rate, how many boxes can they pack in 8 minutes.
a)
35 boxes
b)
14 boxes
c)
112 boxes
d)
560 boxes
26.

The Miller's drove 510 miles in 8.5 hours. How many miles did they travel in just one hour?

(a)  

27.

Four students spent $9.40 on school lunches. How much did each student spend if they each bought the same lunch?

(a)  

28.

A spider traveled 10 feet in 25 minutes. At this rate, how many feet did it travel in 1 minute?

(a)  

29.

Doug read 231 pages in 8 hours. He reads the same number of pages each hour. How many pages could he read in one hour?

(a)  

30.

Sophia walked 6 miles in 90 minutes at Bear Creek Park. At this rate, how many miles did she walk each hour?

(a)  

31.
My father drove 231 miles with 7 gallons of gas.  What was his mileage (miles per gallon)?
a)
35 miles per gallon
b)
33 miles per gallon
c)
37 miles per gallon
32.
My mother purchased 9 candy bars at Food Lion for $13.50.  What is the price per candy bar?
a)
$2.00 per product
b)
$1.50 per product
c)
$1.75 per product
33.
My mother purchased 8 Pepsi products at Bi-Lo for $14.00.  What is the price per product?
a)
$2.00 per product
b)
$1.50 per product
c)
$1.75 per product
34.
The Upward Football League has 156 players on 12 teams.  What is the unit rates of players to teams? 
a)
13 players per team
b)
12 players per team
c)
14 players per team
35.

Find the unit rate.


18 orders in 3 days = ________ orders per day

a)

5

b)

6

c)

7

d)

8

36.

Find the unit rate.


12 rooms on 2 floors = _______ rooms per floor

a)

6

b)

4

c)

3

d)

2

37.
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
38.
Elijah earn $200 for 8 hours of work. What is the unit rate (in dollars per hour)?
a)
$50 per hour
b)
$12 per hour
c)
$192 per hour
d)
$25 per hour
39.
A sixth-grade math teacher can grade 25 homework assignments in 20 minutes. Is he working at a faster rate or slower rate than grading 36 homework assignments in 30 minutes?
a)
Slower rate
b)
Faster rate
c)
He didn't grade them
d)
Everyone got 100
40.
Babysitting for 8 hours and making $72.00 or babysitting for 6 hours and making $57.00. Which is the better deal?
a)
8 hours
b)
6 hours
41.
Will spent $3.75 for 3 pounds of granola. What is his unit rate in dollars per pound?
a)
$1.25 per pound
b)
$1 per pound
c)
$2 per pound
d)
$1.50 per pound
42.

Which of the following is an example of a unit rate?

a)

16 miles/6 days

b)

15 words/30 seconds

c)

$3.18/1 slice of pizza

d)

$15.82/two movie tickets

43.

If Kevin bought 3 lbs of lettuce for $3.54, how much did the lettuce cost per pound?

a)

$1.18 per pound

b)

$1.32 per pound

c)

$10.62 per pound

d)

$10.16 per pound

44.
If a dog can eat 1/3 of a bag of food in 1/2 week, how many bags of food can the dog eat in 1 week?
a)
1/6
b)
2/3
c)
3/2
d)
5/6
45.
Alycia earned $20.40 in 3 hours. What is her unit rate in dollars per hour?
a)
$7 per hour
b)
$6 per hour
c)
$6.80 per hour
d)
$17.40 per hour
46.
I paid $15.00 for 6 gallons of gasoline.
What was the price PER gallon?
a)
$0.40
b)
$9.00
c)
$2.50
d)
$0.90
47.

For 3 pounds of granola, mom spent $3.75. What is her unit rate in dollars per pound?

a)

$1.25 per pound

b)

$0.8 per pound

c)

$11.25 per pound

d)

$6.75 per pound

48.

If Todd can type 408 words in 4 minutes, how many words can he type per minute?

a)

102 words per minute

b)

1632 words per minute

c)

0.01 words per minute

d)

412 words per minute

49.
The computer downloads 1,680 kilobytes in 4 minutes. Find the unit rate. 
a)
420 kb per minute
b)
.00238 kb per minute
c)
1344 kb per minute
d)
28 kb per minute
50.
Harry bought 25 pens for $1.00. Find the unit rate.
a)
$4 per pen
b)
$0.4 per pen
c)
$25 per pen
d)
$0.04 per pen
51.
Which is the better buy?
a)
A 4 pack of t-shirts for $2.24
b)
A 6-pack of t-shirts for $3.12
c)
An 8 pack of t-shirts for $4.24
52.
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
53.
Sara Lee Turkey $6.58 per lb.
or
Butterball Turkey $11.16 for 2 lb.
Find the unit price of each and choose the better deal.
a)
Sara Lee
b)
Butterball
54.
Cheerios $3.68 for 17 oz.
or
Apple Jacks $2.89 for 13 oz.
Find the unit price of each and choose the better deal.
a)
Cheerios
b)
Apple Jacks
55.
Kidney beans $1.18 per lb.
or
Lima beans $2.13 for 2 lb.
Find the unit price of each and choose the better deal.
a)
Kidney beans
b)
Lima beans
56.

In the equivalent ratios below, what did we multiply by to get the ratio on the bottom?


9 : 4


45 : 20

a)

6

b)

5

c)

8

d)

3

57.

In these two equivalent ratios below, what did we multiply by to get from the top to the bottom??


2 : 5


8 : 20

a)

4

b)

3

c)

2

d)

5

58.

What number should go in the blank to make the ratios equivalent?


7 : 2


21 : __?__

a)

6

b)

4

c)

8

59.

What number should go in the blank to make the ratios equivalent?


3 : 8


__?_: 48

a)

18

b)

24

c)

15

60.

1 : 3


4 : __?__

a)

12

b)

15

c)

9

d)

6

61.

7 : 10


63: __?___

a)

80

b)

90

c)

60

d)

100

62.

What do you divide by to get to the bottom number? Then do the same thing to the other side!


12 : 15


4 : __?___

a)

5

b)

3

c)

2

d)

4

63.

What is a Ratio?

a)

A Denominator

b)

A comparison of two quantities

c)

A Mixed Number

d)

Order of Operations

e)

64.

What is the ratio of bananas to apples?

a)

2 : 14

b)

2 to 7

c)

5 : 7

d)

7 to 2

e)

65.

What is the ratio of birds to All Animals?

a)

18 to 8

b)

3 to 18

c)

11 : 18

d)

7 : 3

e)

3 : 25

66.

How much money did Mikey make this week?

a)

$ 7

b)

$ 5

c)

$ 10

d)

$ 25

e)
67.

Complete the Ratio Table.

a)

5

b)

50

c)

2

d)

100

e)

12\frac{1}{2}  

68.
If there are 5 boys and 7 girls, write the ratio of girls to boys.
a)
5 to 7
b)
7 to 5
c)
5 to 12
d)
7 to 12
69.
What number is missing?
a)
12
b)
3
c)
11
d)
13
70.
What is B?
a)
3
b)
9
c)
2
d)
6
71.
What is C?
a)
80
b)
24
c)
96
d)
92
72.

Luz earns $400 for 40 hours of work. Use a ratio table to determine how much she earns for 6 hours of work.

a)

$60.00

b)

$20.00

c)

$40.00

d)

$10.00

73.

What are three ways to write a ratio for the amount of dogs compared to the number of cats.

a)

7:11

b)

11:7

c)

11 to 7

d)

11/7

e)

12 to 7

74.
What is the ratio of green marbles to red marbles?
a)
3/2
b)
3/1
c)
3/3
d)
2/3
75.

Complete the ratio table.

a)

6

b)

8

c)

9

d)

5

76.

Complete the ratio table.

a)

6 & 15

b)

4 & 12

c)

3 & 8

d)

6 & 18

77.

Which ratio is equivalent to 5 to 4

a)

4 to 5

b)

10 to 12

c)

25 to 20

d)

15 to 8

78.

Find the missing numbers in each number line. The answers are in order of soup, pasta, tuna.

a)

40, 12, 24

b)

35, 10, 20

c)

45, 12, 21

d)

40, 10, 19

79.
Solve for x 
a)
x = 15
b)
x = 11
c)
x = 1/11
d)
x = 20
80.

Solve the proportion.

k6=1518\frac{k}{6}=\frac{15}{18}  

a)
k=5
b)
k=3.3333333
c)
k=60
d)
k=90