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Unit Rate & Proportional reltaionships Review

Total questions: 70

Worksheet time: 3hrs 36mins

Name
Class
Date
1.

William is comparing the distance he traveled by car and the time it took him to travel that distance. He is calculating a rate, which is a ratio that compares

a)

A part to a part

b)

A part to a whole

c)

Quantities with different units

d)

Quantities with the same units

2.

Aria went to the store to buy some apples. She noticed that the price of apples was given as a unit rate. This means that the unit in the denominator is:

a)

0

b)

3

c)

1

d)

2

3.

Samuel wants to find out how many miles per hour (mph) he can run. What mathematical operation should he use to calculate the unit rate?

a)

addition

b)

subtraction

c)

multiplication

d)

division

4.

Emma goes to a farmer's market and buys 8 pounds of strawberries for $14. What is the cost per pound of strawberries?

a)

$14 for 8 pounds

b)

$1.75 per pound

c)

$0.57 per pound

d)

$1.70 per pound

5.

Emma and Grace went on a road trip together. They traveled 450 miles in 6 hours. What was their average speed during the trip?

a)

75 miles per hour

b)

0.013 miles per hour

c)

750 miles per hour

d)

13 miles per hour

6.

Sophia and Henry go on a hike every Sunday for 4 hours and burn a total of 465 calories. Find the unit rate of calories burned per hour.

a)

116 calories per hour

b)

86 calories per hour

c)

0.0086 calories per hour

d)

116.25 calories per hour

7.

Luna is planning a Halloween party and wants to buy candy corn for her guests. She finds two options at the grocery store: a 22-ounce bag for $2.64 and a 40-ounce bag for $5.60. Which bag of candy corn is the better buy for Luna?

a)

22 ounce bag

b)

40 ounce bag

8.

Lily went to a gas station to fill her 13-gallon gas tank. She paid $46.80 for the full tank. What was the price of gas per gallon?

a)

$3.60

b)

$3.55

c)

$3.40

d)

$3.50

9.

Grace is hosting a movie night at her house and invited Ethan and Aiden along with other friends. She ordered 15 pizzas for everyone, and the total bill came to $97.50. What was the cost per pizza?

a)

$4.95 per pizza

b)

$5.75 per pizza

c)

$7.25 per pizza

d)

$6.50 per pizza

10.

Liam, Michael, and Samuel decided to adopt a dog and share the responsibilities. They went 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

11.

Priya, Daniel, and Evelyn are on a hiking trip. Daniel hikes ½ mile every 15 minutes, or ¼ hour. How far does Daniel hike in 1 hour?

a)

4 miles

b)

2 miles

c)

1 mile

d)

3 miles

12.

Avery, Olivia, and William are observing a snail in their garden. They notice that the snail can move 3/10 of a meter every 1/12 hour. They are curious to know, what is the speed of the snail, in meters per hour?

a)

1/40

b)

5/18

c)

1 1/2

d)

3 3/5

13.

Noah is making pizza and he uses ½ a can of sauce to cover ¾ of the pizza. Compute the unit rate in terms of cans of sauce per pizza.

a)

1¼ cans of sauce per pizza

b)

⅜ cans of sauce per pizza

c)

⅔ cans of sauce per pizza

d)

1½ cans of sauce per pizza

14.

Nora is trying to solve a math problem where the numerator, denominator, or both contain a fraction. What type of fraction is she working with?

a)

Division

b)

Unit Rate

c)

Complex Fraction

d)

Equation

15.

Nora is writing a novel and she can write 5 ¼ pages in 3 hours. How many pages does she write per hour?

a)

15.25 pages per hour

b)

15.75 pages per hour

c)

1.75 pages per hour

d)

not here

16.

Mason and Olivia are comparing their walking speeds. Mason walks 2182\frac{1}{8} miles in 30 minutes, while Olivia walks 3143\frac{1}{4} miles in 3/4 of an hour. What was Mason's walking rate?

a)

17240\frac{17}{240} miles per hour

b)

4134\frac{1}{3} miles per hour

c)

44 miles per hour

d)

4144\frac{1}{4} miles per hour

17.

Aria and Evelyn decided to have a friendly race. Aria walks 2182\frac{1}{8} miles in 30 minutes, while Evelyn walks 3143\frac{1}{4} miles in 3/4 of an hour. What was the rate at which Evelyn walked?

a)

17240\frac{17}{240} miles per hour

b)

4134\frac{1}{3} miles per hour

c)

44 miles per hour

d)

4144\frac{1}{4} miles per hour

18.

Luna and Samuel decided to have a friendly race. Luna walks 2182\frac{1}{8} miles in 30 minutes, while Samuel walks 3143\frac{1}{4} miles in 3/4 of an hour. Abigail, who was watching them, wondered who was walking at a slower rate. Can you help Abigail figure it out?

a)

Luna

b)

Samuel

19.

Elijah, Daniel, and Evelyn are participating in a charity event where they have to fill up water balloons. Elijah can fill his balloon with ¾ gallon of water in 2 minutes, Daniel can fill his balloon with ⅕ gallons of water in ½ minute, and Evelyn can fill her balloon with ⅜ gallons of water in ½ minute.
Arrange the participants in order from fastest to slowest, in terms of who can fill their water balloon the fastest.

a)

Elijah, Daniel, Evelyn

b)

Daniel, Evelyn, Elijah

c)

Evelyn, Daniel, Elijah

d)

Evelyn, Elijah, Daniel

20.

Samuel wants to find out how many miles per hour (mph) he can run. What mathematical operation should he use to calculate the unit rate?

a)

addition

b)

subtraction

c)

multiplication

d)

division

21.

Samuel wants to find out how many miles per hour (mph) he can run. What mathematical operation should he use to calculate the unit rate?

a)

addition

b)

subtraction

c)

multiplication

d)

division

22.

Mason and Olivia are comparing their walking speeds. Mason walks 2182\frac{1}{8} miles in 30 minutes, while Olivia walks 3143\frac{1}{4} miles in 3/4 of an hour. What was Mason's walking rate?

a)

17240\frac{17}{240} miles per hour

b)

4134\frac{1}{3} miles per hour

c)

44 miles per hour

d)

4144\frac{1}{4} miles per hour

23.
Kendall used 1/2 of a bag of seed to plant 1/10 of her garden. How many bags will Kendall use to plant her garden?
a)
2
b)
5
c)
10
d)
20
24.
A brownie recipe requires 2/3 cup of sugar for 1/3 batch of brownies. How much sugar is need for 1 batch of brownies
a)
2/9 cup
b)
1 cup
c)
1 & 1/3 cups
d)
2 cups
25.
Simplify the complex fraction shown.
a)
9/40
b)
40/9
c)
10/36
d)
5/18
26.

Which of the following is a complex fraction?

a)

103\frac{10}{3}

b)

15\frac{1}{5}

c)

2357\frac{\frac{2}{3}}{\frac{5}{7}}

d)

5135\frac{1}{3}

27.
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
28.
Find the unit rate.
Hannah reads  5/ 8 page in 2/3 minute
a)
15/16 pages per minute
b)
10/24 pages per minute
c)
5/8 pages per minute
d)
16/15 pages per minute
29.
Which is the better deal?
Oreos
$2.98 for 15 oz
OR
Chips Ahoy
$2.50 for 14 oz
a)
Oreos
b)
Chips Ahoy
c)
They are the same
30.

Paige mows 1/6 of an acre in 1/4 hour. How many acres does Paige mow per hour?

a)

64\frac{6}{4}

b)

23\frac{2}{3}

c)

2

d)

3

31.

Franco read 38\frac{3}{8}  of a chapter of his history book in 15\frac{1}{5}  of an hour. At this rate, how many chapters of his history book can he read in 1 hour?

a)

38\frac{3}{8}  

b)

815\frac{8}{15}  

c)

17151\frac{7}{15}  

d)

1781\frac{7}{8}  

32.
If there are 5 soccer players, 10 baseball players, and 15 basketball players, what is the ratio of baseball players to soccer players?
a)
1 to 2
b)
1 to 3
c)
2 to 1
d)
3 to 1
33.
Jenny has 3 guitars. Steve has 4 guitars. If the ratio of guitars is 4:3, who is first in the ratio?
a)
Jenny
b)
Steve
c)
It doesn't matter
d)
Andy Griffith
34.
a)
a
b)
b
c)
c
d)
d
35.
What number is missing?
a)
12
b)
3
c)
11
d)
13
36.
Movie ticket sales are as follows:
Adult: 20 tickets for $250
Child: 15 tickets for $71.25
Senior: 5 tickets for $37.50
How much does one (1) ADULT ticket cost?
a)
$0.08
b)
$25
c)
$12
d)
$12.50
37.
Simplify the ratio of
35 : 14
a)
5 : 2
b)
2 : 5
c)
3 : 1
d)
No Option is Correct
38.
Which is NOT equivalent to 3:5?
a)
15:25
b)
9:15
c)
21:28
d)
30:50
39.
Which best describes the graph represented in this table?
a)
 proportional
b)
non-proportional
40.
Is this table proportional or non-proportional?
a)
Proportional
b)
Non-Proportional
41.
Is this table proportional?
a)
Yes
b)
No
42.

Find the constant of proportionality on this table of values.

a)

k=3

b)

k=1

c)

k=0

d)

k=4

43.
In the equation y = 14x, what is the constant of proportionality?
a)
y
b)
x
c)
14
d)
y=14
44.

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

a)

0

b)

3

c)

1

d)

2

45.
What does k represent in the equation y = kx?
a)
independent variable
b)
constant of proportionality
c)
dependent variable
d)
krispy kreme
46.

Does this table represent a proportional relationship?

a)

Yes - there is a constant of proportionality

b)

No - there is not a constant of proportionality

47.
How do you write an ordered pair?
a)
(X,X)
b)
(Y,X)
c)
(X,Y)
d)
(Y,Y)
48.
a)

Proportional

b)

Non-proportional

49.
a)

Proportional

b)

Non-proportional

50.
a)

Proportional

b)

Non-proportional

51.
What makes a graph proportional?
a)
Linear
b)
The line goes through the origin
c)
Curvy line
d)
Linear and the line goes through the origin
52.

Identify the constant of proportionality.

a)

k = 5

b)

k = 1/5

c)

k = 1

d)

k = 2.5

e)

none (not proportional)

53.
Solve for x 
a)
x = 15
b)
x = 11
c)
x = 1/11
d)
x = 20
54.

Which line shows a proportional relationship between x and y?

a)

Line L

b)

Line M

55.

What is the unit rate in this proportional relationship?

a)

60 miles/1 hour

b)

120 miles/ 2 hours

c)

1 mile/ 1 hour

56.
Solve the proportion.
a)
q=2
b)
q=9
c)
q=4.5
d)
q=6
57.
Which statement below accurately represents the graph?
a)
$100 is earned for each hour worked
b)
$200 earned for every 2 hours worked
is the unit rate
c)
$500 is earned for every 8 hours worked
d)
$300 is earned after working 4 hours
58.
What is the constant of proportionality?
a)
$3
b)
$4
c)
$2
d)
$9
59.
Which graph is proportional?
a)
A
b)
B
c)
C and D
d)
All of the graphs are proportional
60.
What is the constant of proportionality? 
a)
5
b)
1/5
c)
10
d)
2
61.
What is the constant of proportionality? 
a)
20
b)
4
c)
1/5
d)
5
62.
What is the constant of proportionality? 
a)
6
b)
3
c)
2
d)
1/2
63.
What is the constant of proportionality? 
a)
4
b)
5
c)
1/4
d)
20
64.
What is the constant of proportionality? 
a)
1/15
b)
2
c)
30
d)
15
65.
What is the constant of proportionality? 
a)
4
b)
2
c)
1/4
d)
-4
66.
What is the constant of proportionality? 
a)
1/3
b)
3
c)
5
d)
10
67.
What is the constant of proportionality? 
a)
28
b)
35
c)
38
d)
26
68.
What is the constant of proportionality? 
a)
7
b)
2
c)
8
d)
1/2
69.
What is the constant of proportionality? 
a)
2
b)
48
c)
18
d)
16
70.
What is the constant of proportionality? 
a)
7
b)
12
c)
1
d)
15

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