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Ratios, Unit Rates, and Complex Fractions

Total questions: 76

Worksheet time: 7hrs 52mins

Name
Class
Date
1.

A ratio is

a)

another way of multiplying

b)

a comparison of two quantities using division.

c)

is a two dimensional figure.

d)

is the same as the associative property.

2.

A rate is a

a)

different way of solving probability.

b)

ratio of unknowns.

c)

ratio of two quantities with the same unit.

d)

ratio of two quantities with different units.

3.

A unit rate is

a)

a rate with the numerator of one.

b)

a rate with the denominator of one.

4.

A complex fraction is NOT

a)

a fraction with a fraction in the numerator

b)

a fraction with a variable

c)

a fraction in both the numerator or the denominator

d)

a fraction with a fraction in the denominator

5.

Which one is NOT a ratio?

a)

7-4

b)

7/4

c)

7/4

d)

7:4

6.

There are 45 boys and 30 girls on the soccer team, which ratio shows the ratio in simplest terms

a)

45 to 30

b)

30:45

c)

3/2

d)

9/6

7.

You have 4 footballs, 6 baseballs and 10 golf balls. Write a ratio of baseballs to total balls in simplest form.

a)

6 to 10

b)

3 to 5

c)

3 to 2

d)

3 to 10

8.

There are 24 dogs to 18 cats at the pet day care. Write the ratio of cats to dogs.

a)

3:4

b)

24:18

c)

12:9

d)

4:3

9.

Your parents asked you to calculate miles per gallon for the family road trip. They drove 256 miles with 8 gallons of gas. How many miles per gallon?

a)

16 miles per gallon

b)

42 miles per gallon

c)

24 miles per gallon

d)

32 miles per gallon

10.

You and six friends go to the movies. Your friend Carter collects the money. He collects $59.50. How much does each of you give to Carter?

a)

$9.12

b)

$11.90

c)

$8.50

d)

$7.48

11.

Find the unit rate from this complex fraction

_3/4_

1/2

a)

3/2

b)

3/8

c)

1-1/2

d)

5/4

12.

A store had 4 boxes of video games. How many days would it take to sell the games if each day they sold one-fifth of a box?

a)

16 days

b)

4/5 of a day

c)

24 days

d)

20 days

13.

Jade spent 1⁄2 of an hour playing on her phone. That used up 1⁄9 of her battery. How long would she have to play on her phone to use the entire battery?

a)

1/18 of an hour

b)

2/9 of an hour

c)

2/11 of an hour

d)

4-1/2 hours

14.

While exercising Loghan walked 1⁄8 of a mile in 1⁄6 of an hour. At this rate,how far will he have traveled after an hour?

a)

1/48 of a mile

b)

3/4 of a mile

c)

1 mile

d)

6/8 of a mile

15.

Your favorite restaurant sells 15 wings for $17.99. What is the cost per wing?

a)

$1.1

b)

$1.20

c)

$1.75

d)

$1.19

16.

What do you have to do to a complex fraction to simplify it?

a)

rewrite it as a division problem

b)

nothing

c)

rewrite it as a multiplication problem

d)

rewrite it as a division problem and then invert and multiply

17.

How would you write the complex fraction as a division problem?
 234\frac{\frac{2}{3}}{4}  

a)

2/3 ÷\div  4

b)

2/3  x 4

c)

2/3 + 4

18.

 233\frac{\frac{2}{3}}{3}  Rewrite the complex fraction as a division problem, invert and multiply to simplify it.  Then select your answer.

a)

 212\frac{2}{12}  

b)

 92\frac{9}{2}  

c)

 29\frac{2}{9}  

19.

What is the unit rate of your heart rate if it beats 25 times in 15 seconds?

a)

25 beats a min.

b)

125 beats a min.

c)

100 beats a min.

d)

60 beats a min.

20.

If there is a jar of 30 marbles and 20 are blue and the rest are yellow. Write the ratio of blue to yellow. *2 answers

a)

10:20

b)

2:1

c)

1:2

d)

20:10

21.

Which is the better unit price: 4 candy bars for $1.00 or 5 candy bars for $1.20?

a)

4 for $1.00

b)

they are equal

c)

5 for $1.20

22.
The Portland Timbers soccer team has a win to loss ratio of 5 :1. What is their ratio of wins to total games played?
a)
1 : 5
b)
5 : 6
c)
5 : 10
23.
You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?
a)
$8 per pound
b)
$5 per pound
c)
$35 per pound
d)
0.125 pounds per dollar
24.
Which is NOT equivalent to 3:5?
a)
15:25
b)
9:15
c)
21:28
d)
30:50
25.
Mr. Keys made $90 in 5 hours.  What is the unit rate?  
a)
$18 per hour
b)
$1 in 18 hours
c)
$90:5h
d)
5 to 90
26.
Mr. Higgins can type 1,400 words per hour. How many words can he type per day?
a)
33,600 words per day
b)
84,000 words per day
c)
75 words per day
27.
Simplify the complex fraction.
a)
18
b)
1/18
c)
9/72
d)
1/8
28.
Martin rode his bike 3  2/3 miles in 16   1/2 minutes. Assume he rode the same speed the entire time. How fast did he ride in miles per minute?
a)
2/9 mile per minute
b)
1 mile per minute
c)
3/4 mile per minute
29.
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
30.
It snowed 14 inches in 5 hours. What is the unit rate?
a)
3 inches
b)
1.5 inches
c)
5 inches
d)
2.8 inches
31.
Sasha can mow 3/8 of an acre of grass in 3/4 an hour. How many acres of grass does Sasha mow per hour?
a)
2  ac./hr.
b)
1/2  ac./hr.
c)
9/24  ac./hr.
32.
Simplify the complex fraction shown.
a)
9/40
b)
40/9
c)
10/36
d)
5/18
33.
If a snail can move 3/10 of a meter every 1/12 hour, 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
34.
Simplify the complex fraction.
a)
32/135
b)
7/61
c)
427
d)
1/427
35.
It took Julius 1/3 of an hour to ride his bike 2 & 3/4 of a mile. How many miles per hour can he ride his bike?
a)
3 & 1/2
b)
6 & 3/4
c)
8 & 1/4
d)
16 & 1/2
36.
Indigo has a container that contains 18 & 3/4 cups of ice cream. How many 1/3 cups servings of ice cream are in the container?
a)
6
b)
50
c)
56
37.
A cookie recipe needs 1 & 1/3 cups of flour to make 1/2 batch of cookies. How much flour is needed to make 1 batch of cookies?
a)
1 & 1/6
b)
1 & 2/3
c)
2 & 2/3
38.
Peter made 1 & 1/2 gallons of tea. She is putting 1/8 gallon of tea in each cup. How many cups can Peter fill?
a)
12
b)
16
c)
24
39.
Terry bought 2 & 1/2 dozen chocolate chip cookies. She paid $15 for her purchase. If there were 12 cookies in each dozen, what was the cost per cookie?
a)
$0.17
b)
$0.50
c)
$0.83
d)
$1.25
40.
Susan walked 1 & 2/3 miles in 1 & 1/4 hours. How many miles can Susan walk in 1 hour?
a)
2/5
b)
1
c)
1 & 1/3
d)
2
41.

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

42.
A realtor visits 13 houses in 3 hours. What is the unit rate in houses per hour?
a)
10 houses per hour
b)
4 houses per hour
c)
3/13 houses per hour
d)
13/3 houses per hour
43.
iTunes sells 9 songs for $8.85.  Claire wants to buy Bruno Mars’ new album which cost $14.75.  How many songs are on Bruno Mars’ new album?
a)
13 songs
b)
15 songs
c)
5 songs
d)
20 songs
44.
Simplify the complex fraction.
a)
82
b)
1/82
c)
41/50
d)
50/41
45.
Simplify the complex fraction.
a)
32/135
b)
7/61
c)
427
d)
1/427
46.
Indigo has a container that contains 18 & 3/4 cups of ice cream. How many 1/3 cups servings of ice cream are in the container?
a)
6
b)
50
c)
56
47.

Simplify the complex fraction. Remember: This is just another way of writing division. Use keep, change, flip and divide the two fractions.

a)

32/135

b)

7/61

c)

427

d)

1/427

48.
Over a 3 1/2 year period, 27 1/2 inches of snow fell in Jackson City.  What was the average yearly snowfall in Jackson City?
a)
31 inches per year
b)
24 inches per year
c)
9 1/4 inches per year
d)
7 6/7 inches per year
49.
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
50.
Simplify the complex fraction.
a)
61/7
b)
7/61
c)
61/84
d)
427
51.
Simplify the complex fraction.
a)
32/135
b)
7/61
c)
427
d)
1/427
52.
Simplify the complex fraction.
a)
32/135
b)
7/61
c)
427
d)
1/427
53.
Simplify the complex fraction.
a)
82
b)
1/82
c)
41/50
d)
50/41
54.
Express the ratio as a fraction in simplest form:
18 ounces to 3 cups
a)
6 to 1
b)
1/6
c)
18/3
d)
3/18
55.
88 students for 4 classes
How many students per class?
a)
22 students per class
b)
22 classes per student
c)
25 students per class
d)
25 classes per student
56.
Which is NOT equivalent to 3:5?
a)
15:25
b)
9:15
c)
21:28
d)
30:50
57.
Which one is a real life example of a RATIO?
a)
12 noodles
b)
4 meatballs : 1 cup of sauce
c)
1 jar of sauce
d)
15 desserts
58.
The math team has 12 boys, 10 girls, and one coach. What is the ratio of coaches to students?
a)
22 to 1
b)
1/10
c)
1 to 22
d)
1:12
59.
Which is NOT a way to represent a ratio?
a)
As a fraction
b)
Using the word "to"
c)
With a colon (:)
d)
None.  All of these are ways to write a ratio.
60.

What is Scaling up?

a)

Multiply the numerator and Denominator by the same factors

b)

Divide by the same factor

61.

What is Scaling down?

a)

Multiply the Numerator and Denominator by the same factor

b)

Divide the Numerator and Denominator by the same factor

62.

What is a proportion?

a)

Two Equal Ratios

b)

Two Unequal ratios

63.

Select all the statements that accurately describe this diagram.

a)

The ratio of cups of white paint to cups of green paint is 2 to 4.

b)

For every cup of green paint, there are two cups of white paint.

c)

The ratio of cups of green paint to cups of white paint is 4 : 2.

d)

For every cup of white paint, there are two cups of green paint.

e)

The ratio of cups of green paint to cups of white paint is 2 : 4.

64.

In a fruit basket there are 12 rotten apples, 5 black bananas, and 6 green squishy peaches. For every 6 rotten apples there are _______ green squishy peaches.

a)

5

b)

6

c)

3

d)

2

65.
Describe the relationship between the following two things:
Circles to Shapes?
a)
Part-To-Part
b)
Part-To-Whole
66.
Describe the relationship between the following two things:
Strawberries to Fruit?
a)
Part-To-Whole
b)
Part-To-Part
67.
Describe the relationship between the following two things:
Teachers to Students
a)
Part-To-Part
b)
Part-To-Whole
68.
Is the following ratio part to part or part to whole?
5 out of 23 kids in a class play trumpet
a)
Part to part
b)
Part to whole
69.
What type of ratio does the scenario represent?
What is the ratio of pumpkins to broccoli?
a)
Part to Part 5:2
b)
Part to Part 2:5
c)
Part to Whole  2:7
d)
Part to Whole 5:7
70.
Tell if the ratio is part-to-part or part-to-whole.
4 apples to 3 oranges
a)
Part-to-Part
b)
Part-to-Whole
71.

A ratio that compares two quantities of different units. Like miles per hour, feet per second.

a)

rate

b)

ratio

c)

percent

d)

fraction

72.

When a rate is expressed as a unit of one...

a)

unit rate

b)

scale factor

c)

proportion

d)

decimal

73.

When two ratios are equivalent

a)

proportion

b)

per/each

c)

product

d)

quotient

74.
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
75.
What word can be used when writing a ratio?
a)
a
b)
be
c)
to
d)
and
76.
Simplify the ratio of
35 : 14
a)
5 : 2
b)
2 : 5
c)
3 : 1
d)
35: 14

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