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Worksheets

Rates and Unit Rates

Total questions: 45

Worksheet time: 2hrs 46mins

Name
Class
Date
1.

If a car travels 300 miles on 10 gallons of gas, what is the unit rate of miles per gallon?

a)

20 miles/gallon

b)

30 miles/gallon

c)

10 miles/gallon

d)

40 miles/gallon

2.

What is an equivalent ratio to 3:43:4 ?

a)

6:86:8

b)

5:75:7

c)

9:129:12

d)

Both A and C

3.

If a recipe calls for 2 cups of flour for every 3 cups of sugar, how many cups of flour are needed for 9 cups of sugar?

a)

4 cups

b)

6 cups

c)

8 cups

d)

10 cups

4.

A map scale shows that 1 inch equals 100 miles. How many miles does 3.5 inches on the map represent?

a)

250 miles

b)

300 miles

c)

350 miles

d)

400 miles

5.

If 8 bags of chips cost $12, what is the unit rate per bag?

a)

$1.00

b)

$1.50

c)

$2.00

d)

$2.50

6.

What is the proportion 34=x8\frac{3}{4} = \frac{x}{8} solved for xx ?

a)

2

b)

4

c)

6

d)

8

7.

In a scale drawing, if the scale is 1 inch = 5 feet, what is the actual length of a wall that is drawn as 3 inches long?

a)

8 feet

b)

10 feet

c)

15 feet

d)

20 feet

8.

If a bicycle wheel rotates 400 times in one mile, how many rotations does it make in 10 miles?

a)

4000 rotations

b)

5000 rotations

c)

6000 rotations

d)

8000 rotations

9.

What is the equivalent ratio of 5:205:20 ?

a)

1:41:4

b)

2:52:5

c)

3:123:12

d)

4:164:16

10.

A scale drawing of a building is made using a scale of 1 inch = 30 feet. If the height of the building on the drawing is 2 inches, what is the actual height of the building?

a)

40 feet

b)

50 feet

c)

60 feet

d)

70 feet

11.

If 5 pounds of apples cost $4.25, what is the unit rate per pound?

a)

$0.75

b)

$0.85

c)

$0.95

d)

$1.05

12.

What is the solution to the proportion 7x=1428\frac{7}{x} = \frac{14}{28} ?

a)

2

b)

4

c)

7

d)

14

13.

If a scale drawing has a scale of 1 inch = 4 yards, how many yards does 7 inches on the drawing represent?

a)

24 yards

b)

28 yards

c)

32 yards

d)

36 yards

14.

A car can travel 450 miles on 15 gallons of gas. What is the car's unit rate of miles per gallon?

a)

25 miles/gallon

b)

30 miles/gallon

c)

35 miles/gallon

d)

40 miles/gallon

15.

What is an equivalent ratio to 9:129:12 ?

a)

3:43:4

b)

6:86:8

c)

18:2418:24

d)

All of the above

16.

What is the ratio of blue triangles to red squares?

a)

4 : 3

b)

3 : 4

c)

4 : 7

17.

Equivalent means.....

a)

almost the same

b)

subtraction

c)

equal

18.

What is a ratio?

a)

a box that plays music

b)

a comparison of 2 quantities

19.

There are 4 daisies and 11 roses. Choose the 3 ways to write the ratio of daisies to roses.

a)

11 to 4

b)

4 to 11

c)

4:11

d)

11:4

e)

411\frac{4}{11}

20.

An airplane took 6 hours to travel 4164 km, What is the unit rate in km per hour? Only type the number for your answer.

(a)  

21.

Which is the better buy?

an 8 ounce package that costs $2.80

a 15 ounce package that costs $5.55

a 26 ounce package that costs $8.58

a)

8 ounce package that costs $2.80

b)

15 ounce package that costs $5.55

c)

26 ounce package that costs $8.58

22.

Which statement describes a unit rate of 6:1?

a)

12 tires for 3 cars

b)

30 miles for 5 hours

c)

$35 for 5 set of markers

d)

45 miles in 9 hours

23.

Identify the equivalent ratios below. Select all that apply.
A.  36 and 936\frac{3}{6}\ and\ \frac{9}{36}                B.  812 and 1218\frac{8}{12}\ and\ \frac{12}{18}   

 C.  105 and 3015\frac{10}{5}\ and\ \frac{30}{15}   

a)

A 

b)

B

c)

C

d)

None of ratios are equivalent.

24.

Gabby spent $44.10 for 14 gallons of gas. What was the unit cost, or price per gallon?

a)

$0.31

b)

$3.15

c)

$4.50

d)

$5.82

25.

Four candy stores are competing with each other. Which store offers the best buy for candy?

a)

Sweet Store: 12 pack for $3.00

b)

Delicious Treats: 22 pack for $4.62

c)

Sugar Factory: 18 pack for $5.40

d)

Chocolate Shop: 36 pack for $7.20

26.

Are these ratios equivalent?

2 feet every 3 months,

4 feet every 15 months.

a)

yes

b)

no

27.
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
28.
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
29.

Solve the word problem: If a store sells 12 cans of soda for $6, what is the unit rate per can?

a)

$5.00

b)

$0.25

c)

$0.50

d)

$1.00

30.

Identify the better buy scenario: Product A costs $5 for 3 items, while Product B costs $8 for 5 items.

a)

Product D

b)

Product B

c)

Product A

d)

Product C

31.
Mrs. Edgar had to stop and get gas on her way to school this morning.  The unit price was $2.03 per gallon and Mrs. Edgar spent $32.48.  How many gallons of gas did Mrs. Edgar buy?
a)
14
b)
15
c)
16
d)
17
32.
The Williams family bought four concert tickets for $252.  What was the price per ticket?
a)
$60.00
b)
$63.00
c)
$6.30
d)
$62.00
33.
Doritos $4.39 for 11.5 oz. 
or
Cheetos $2.24 for 9.75 oz.
Find the unit price of each and choose the better deal.
a)
Doritos
b)
Cheetos
34.

Jenna drives 80 miles in 2 hours. Anthony drives 120 miles in 4 hours. Who is driving at a faster rate? (miles per hour)

a)

Jenna is driving at a faster rate.

b)

Anthony is driving at a faster rate.

35.

Recipe A makes 10 servings for a total of 990 calories. Recipe B makes 7 servings for 840 total calories. Which recipe has more calories per serving?

a)

Recipe A has more calories per serving

b)

Recipe B has more calories per serving

36.

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

37.

Which is the better deal? Oreos $2.98 for 15 oz OR Chips Ahoy $2.50 for 14 oz

a)

Oreos

b)

Chips Ahoy

38.

My mother purchased 9 candy bars at Food City for $13.50.  What is the unit price?

a)

$2.00

b)

$1.75

c)

$1.50

d)

Not Here

39.

A train can travel 1,230 miles in 5 hours. What is the unit rate that the train is traveling per hour?

a)

246 mph

b)

256 mph

c)

356 mph

d)

346 mpg

40.
At the carnival, the ratio of people who won the ring toss game to lost it was 8 : 5. If 24 people won, how many people would have lost?
a)
3
b)
13
c)
15
d)
24
41.

Hamburger sells for 3 pounds for $6. If Alicia buys 10 pounds of hamburger, how much will she pay? (Use a proportion to solve)

a)

$30

b)

$20

c)

$60

d)

$10

42.
Is the ratio equivalent?
a)
Yes
b)
No
43.
Is the ratio equivalent?
a)
Yes
b)
No
44.

Janelle is making trail mix. She will add 4 cups of M&Ms for every 3 cups of nuts. Which ratio below has an equivalent mixture of M&Ms and nuts?

a)

16:7

b)

24:12

c)

12:9

d)

20:5

45.
Tyler is a beast at baseball. He scored 22 home runs in 7 games. If he keeps up that pace, how many home runs would he score in 21 games?
a)
66 home runs
b)
3 home runs
c)
6 home runs
d)
 home runs