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Worksheets

Ratio

Total questions: 157

Worksheet time: 4hrs 43mins

Name
Class
Date
1.

Split £20 into the ratio 7:3

a)

£12 : £8

b)

£7 : £3

c)

£6 : £14

d)

£14 : £6

2.

The ratio of boys to girls at a tennis club is 9:7. There are 63 boys at the club.


How many girls are there?

a)

16

b)

49

c)

63

d)

81

3.

Split £36 into the ratio 1:2

a)

£24 : £12

b)

£12 : £24

c)

£6 : £30

d)

£30 : £6

4.

Divide QR 500 in the ratio 3 : 2

a)

Largest share QR 400

Smallest share QR 100

b)

Largest share QR 300

Smallest share QR 200

c)

Largest share QR 350

Smallest share QR 150

d)

Largest share QR 450

Smallest share QR 50

5.

Divide QR 20 000 in the ratio 7 : 3

a)

1st share QR 12 000

2nd share QR 8 000

b)

1st share QR 15 000

2nd share QR 5 000

c)

1st share QR 14 000

2nd share QR 6 000

d)

1st share QR 16 000

2nd share QR 4 000

6.

Divide 50 in the ratio 5 : 3 : 2

a)

1st share 30

2nd share 15

3rd share 5

b)

1st share 40

2nd share 8

3rd share 2

c)

1st share 35

2nd share 10

3rd share 5

d)

1st share 25

2nd share 15

3rd share 10

7.

Divide QR 18000 in the ratio 1 : 5

a)

1st share QR 6000

2nd share QR 12000

b)

1st share QR 10000

2nd share QR 8000

c)

1st share QR 14000

2nd share QR 4000

d)

1st share QR 3000

2nd share QR 15000

8.

Divide 25 in the ratio 3 : 2

a)

1st share 15

2nd share 10

b)

1st share 20

2nd share 5

c)

1st share 18

2nd share 7

d)

1st share 16

2nd share 9

9.

Divide $45 in the ratio 4 : 5

a)

$20 : $25

b)

$15 : $30

c)

$18 : $27

d)

$4 : $5

10.

Divide 720kg in the ratio 5:3

a)

300kg:420kg

b)

400kg:320kg

c)

450kg:270kg

d)

420kg:300kg

11.
a)

£4:£12

b)

£12:£4

c)

£12:£2

d)

£2:£12

12.

Divide $80 in the ratio 3 : 5

a)

$10 : $50

b)

$30 : $50

c)

$24 : $40

d)

$42 : $24

13.

Divide $70 into the ratio 2 : 7 : 1

a)

$14 : $49 : $7

b)

$49 : $7 : $14

c)

$10

d)

$20

14.

If $35 is divided into the ratio 2 : 3 : 2, how much is one ratio part worth?

a)

$7

b)

$6

c)

$35

d)

$5

15.

What's the ratio of triangles to stars in simplest form?

a)

3:2

b)

6:4

c)

2:3

d)

4:6

16.

What's the ratio of squares to hearts in simplest form?

a)

6:4

b)

3:2

c)

2:3

d)

4:6

17.

What's the ratio of stars to hearts in simplest form?

a)

4:3

b)

3:15

c)

3:4

d)

3:5

18.

What's the ratio of total shapes to stars in simplest form?

a)

3:15

b)

15:3

c)

1:5

d)

5:1

19.

What's the ratio of total shapes to triangles in simplest form?

a)

15:2

b)

13:2

c)

7:1

d)

1:6

20.

What's the ratio of squares to total shapes in simplest form?

a)

2:3

b)

6:15

c)

2:5

d)

3:5

21.

What's the ratio of triangle to hearts in simplest form?

a)

2:1

b)

4:2

c)

1:3

d)

1:2

22.

What's the ratio of boys to girls in Mr. Espinal's class?

a)

5:2

b)

5:3

c)

2:3

d)

3:5

23.

What's the ratio of girls to boys in Mr. Espinal's class?

a)

3:5

b)

5:3

c)

2:3

d)

5:6

24.

What's the ratio of boys to the total students in Mr. Espinal's class?

a)

8:5

b)

3:5

c)

6:24

d)

5:8

25.

What's the ratio of girls to the total students in Mr. Espinal's class?

a)

1:3

b)

3:8

c)

1:5

d)

2:5

26.

Select the ratio that is equivalent to 1:2.

a)

8:16

b)

1:3

c)

2:5

d)

1:6

27.

Select the ratio that is equivalent to 2:14

a)

1:2

b)

7:1

c)

1:7

d)

3:5

28.

Select the ratio that is equivalent to 3:9

a)

2:3

b)

3:1

c)

1:3

d)

1:5

29.

Select the ratio that is equivalent to 18:8

a)

9:2

b)

9:4

c)

2:9

d)

4:9

30.

What's the ratio of cats to dogs in simplest form?

a)

11:18

b)

5:2

c)

11:7

d)

7:11

31.

What's the ratio of total animals to cats in simplest form?

a)

18:7

b)

18:11

c)

7:18

d)

11:18

32.

You can get a fraction into its simplest form by.....

a)

subtracting the top and bottom number.

b)

dividing the numerator and denominator by 2.

c)

dividing the numerator and denominator by the GCF.

d)

finding the LCD.

33.

Which fraction is in its simplest form?

a)

13:39

b)

15:45

c)

2:11

d)

24:6

34.

Can 13:39 be simplified?

a)

Yes

b)

No

35.


313÷1133\frac{1}{3}\div1\frac{1}{3}  

a)

2232\frac{2}{3}  

b)

2122\frac{1}{2}  

c)

2

d)

3

36.

An ant walks along a stick. The stick is

1121\frac{1}{2}  ft long. The ant travels  310\frac{3}{10}  ft every second. How long does it take the ant to walk the whole length of the stick?

a)

5 seconds

b)

10 seconds

c)

3 seconds

d)

15 seconds

37.

1012÷12\frac{10}{12}\div\frac{1}{2}  



(a)  

38.

What is the rule for Dividing Fractions?

a)

"Keep, Keep, Flip"

b)

"Keep, Change, Flip"

c)

"Keep, Change, Keep

d)

I don't know!

39.
What is the quotient of these fractions in lowest terms?
a)
6/40
b)
6/10
c)
3/5
d)
12/20
40.

Change to improper fractions then multiply

a)

-24/12

b)

-66/78

c)

-143/36

41.

We use the rule "if the signs are the same the answer is positive and if the signs are different the answer is negative" when we are _____________. (check all that apply)

a)

adding integers

b)

subtracting integers

c)

multiplying integers

d)

dividing integers

42.

Divide. Write fractions in simplest form.

−116÷29-1\frac{1}{6}\div\frac{2}{9}      

a)

     −514-5\frac{1}{4}  

b)

     −1454-\frac{14}{54}  

c)

     −727-\frac{7}{27}  

d)

     −6312-\frac{63}{12}   

43.

15÷25\frac{1}{5}\div\frac{2}{5}  

a)

12\frac{1}{2}  

b)

210\frac{2}{10}  

c)

15\frac{1}{5}  

d)

510\frac{5}{10}  

44.

When we divide by a fraction we multiply by the __________

a)

reciprocal

b)

exponent

c)

ratio

d)

proportions

45.

A comparison of two quantities

a)

percent

b)

ratio

c)

equation

d)

similar figures

46.

A comparison of quantities measured in different units.

a)

proportion

b)

variable

c)

rate

d)

expression

47.

A rate that compares to one unit; found by dividing the numerator by the denominator.

a)

percent

b)

equation

c)

similar figures

d)

unit rate

48.

A ratio where the first term is compared to 100.

a)

percent

b)

inverse operation

c)

ratio

d)

proportion

49.

An equation where two ratios are equal.

a)

unit rate

b)

proportion

c)

inverse operations

d)

ratio

50.

Figures that have corresponding sides and congruent angles.

a)

rate

b)

equation

c)

variable

d)

similar figures

51.

A letter that represents an unknown value.

a)

expression

b)

variable

c)

percent

d)

unit rate

52.

Opposite operations that undo each other.

a)

unit rate

b)

variable

c)

inverse operation

d)

expression

53.

A mathematical sentence that contains an equal sign.

a)

equation

b)

proportion

c)

rate

d)

variable

54.

A mathematical phrase that contains operations, numbers, and/or variables.

a)

similar figures

b)

expression

c)

inverse operations

d)

rate

55.

an amount added to the cost of a product to find the selling price

a)

tax

b)

markup

c)

discount

d)

equation

56.

an amount subtracted from the cost to find the sale price

a)

discount

b)

tip

c)

expression

d)

ratio

57.

Simplify the ratio 600 ml : 3.3 l

(a)  

58.

$360 is shared among Hannah, Ryan, and Kelly in the ratio 2:3:5. How much is the largest amount received?

a)

$108

b)

$72

c)

$180

d)

$164

59.

$360 is shared among Hannah, Ryan, and Kelly in the ratio 2:3:5. How much less will Hannah receive than Kelly?

a)

$72

b)

$108

c)

$180

d)

$252

60.

A tin of biscuits contains shortbread, fruit, and chocolate biscuits in the ratio 3:1:4.

The tin contains 56 chocolate biscuits.

How many biscuits in the box are fruits?

a)

21

b)

28

c)

7

d)

14

61.

A tin of biscuits contains shortbread, fruit, and chocolate biscuits in the ratio 3:1:4.

The tin contains 56 chocolate biscuits.

How many biscuits are there altogether?

a)

112

b)

98

c)

168

d)

448

62.

Uncle Tom gives $2640 to be shared among his grandchildren in the ratio of their ages.

The grandchildren are 8, 10, 13, and 17 years old.

How much does the second grandchild receive?

a)

$440

b)

$550

c)

$935

d)

$715

63.

Uncle Tom gives $2640 to be shared among his grandchildren in the ratio of their ages.

The grandchildren are 8, 10, 13, and 17 years old.

How much more will the oldest receive than the youngest?

a)

$385

b)

$220

c)

$495

d)

$1375

64.

Elaine, Regina, and Alain buy a boat for $33 000.

Elaine pays $12 000, Regina pays $6000 and Alain pays the rest.


How much did Alain pay?

a)

$1500

b)

$150000

c)

$15500

d)

$15000

65.

Elaine, Regina, and Alain buy a boat for $33 000.

Elaine pays $12 000, Regina pays $6000 and Alain pays the rest.


Write in the simplest form, the ratio of Elain's share: Regina's share: Alain's share.

(a)  

66.

Elaine, Regina, and Alain buy a boat for $33 000.

Elaine pays $12 000, Regina pays $6000 and Alain pays the rest.

Six years later they sell the boat for $25 300.

They share the money in the same ratio that they bought the boat.

How much money does Alain lose on the sale of the boat?

a)

$7700

b)

$18500

c)

$3500

d)

$11500

67.
A statement that two things are equal.
a)
proportion
b)
equation
c)
ratio
d)
percent
68.
A rate per one hundred (100).
a)
unit rate
b)
rate
c)
percent
69.
A word that describes equality or inequality of ratio.
a)
proportion
b)
ratio table 
c)
scaling up
70.
a ratio comparing  quantities of different units.
a)
ratio
b)
rate
c)
unit rate
71.
A relationship between two quantities that can be expressed three different ways.
a)
rate
b)
ratio
c)
unit price
72.
A table that shows equivalent ratios.
a)
unit rate table
b)
ratio table
73.
A price per unit or how much one item would cost
a)
unit rate
b)
unit price
c)
rate
74.
A rate with the second number being one. Often has the word "per" in it.
a)
unit rate
b)
ratio
c)
proportion
75.
Comparing one part to another part.
a)
part-to-part ratio
b)
part-to-whole ratio
c)
part-to-total ratio
76.
Comparing one part to the total.
a)
part-to-part ratio
b)
part-to-whole ratio
77.
This fraction is formed of two fractional expressions, one on top of the other.
a)
part-to-part fraction
b)
complex fraction
c)
fraction
78.
Two ratios that are proportional.
a)
equivalent ratios
b)
equivalent units
79.
To make equivalent ratios larger in size, or amount by multiplying.
a)
scaling up
b)
scaling down
80.
To make equivalent ratios smaller in size or amount by dividing.
a)
scaling up
b)
scaling down
81.
A variable that does not depend on any other variable. Known as (X) or the input.
a)
independent variable
b)
dependent variable
82.
A variable whose value depends on that of another. Often known as (Y) or the output.
a)
dependent variable
b)
independent variable
83.
Find the unit rate.
Carrie can type 800 words in 12 minutes. How many words can she type per minute? 
a)
66 2/3
b)
66
c)
66 1/2
84.
Caleb can drive 15 miles in 60 minutes. How many miles can he drive in 12 hours? (Hint. Set up a proportion to solve problem).
a)
360
b)
180
c)
48
85.
Xavier loves Pizzahut! He orders 3 pizzas for $27.99 How much did he pay per pizza?
a)
$9
b)
$9.33
c)
I have no clue
86.
Which is the better buy? (Remember Mrs. Watkins wants to save money!) 
12 bars of soap for $10.00 or 5 bars of soap for $4.00?
a)
$10.00 pack
b)
$4.00 pack
87.

Split £20 into the ratio 7:3

a)

£12 : £8

b)

£7 : £3

c)

£6 : £14

d)

£14 : £6

88.

Split £36 into the ratio 1:2

a)

£24 : £12

b)

£12 : £24

c)

£6 : £30

d)

£30 : £6

89.
a)

£4:£12

b)

£12:£4

c)

£12:£2

d)

£2:£12

90.

Johan and Renee share $90 in the ratio 7:3.


How much money will Renee have?

a)

$9

b)

$27

c)

$63

d)

$210

91.

$28 is to be shared in the ratio 3:1.


What is the larger share?

a)

$4

b)

$7

c)

$21

d)

$84

92.

Share 40 sweets in the ratio 5 : 3

a)

25 : 15 sweets

b)

15 : 25 sweets

c)

30 : 10 sweets

d)

5 : 3 sweets

93.

Share 15 counters in the ratio 2 : 3

a)

6 : 9 counters

b)

5 : 10 counters

c)

2 : 3 counters

d)

9 : 6 counters

94.

Share 21kg in the ratio 3 : 4

a)

9kg : 12kg

b)

12kg : 9kg

c)

8kg : 12kg

d)

7kg : 14kg

95.

Write this ratio in its simplest form

25 : 5

a)

5 : 1

b)

5 : 5

c)

5 : 4

d)

5 : 2

96.

Challenging Question:

$360 is shared among Hannah, Ryan, and Kelly in the ratio 2:3:5. How much is the largest amount received?

a)

$108

b)

$72

c)

$180

d)

$164

97.
Patrick has 2 black, 3 red, and 5   white toy cars. What is the ratio of red toy cars to all the toy cars? 
a)
3:5
b)
1:3
c)
3:11
d)
3:10
98.
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
99.
Ten soccer players were going to a soccer tournament with their three coaches. What is the ratio of coaches to players? 
a)
10 : 3
b)
10:13
c)
3 : 10
d)
3:13
100.
Kelly has 10 apps on her iPad. 5 are school apps, 2 are music apps, and 3 are games. What is the ratio of school apps to game apps?
a)
5 to 2
b)
3 to 5
c)
5 to 10
d)
5 to 3
101.
Tommy has a bag of LEGOS.  There are 6 yellow, 3 red, and 8 blue LEGOS.  What is the ratio in simplest form of red to yellow LEGOS?
a)
1/2
b)
6/3
c)
2/1
d)
3/6
102.

An ostrich can run at a rate of 50 miles in 60 minutes. At this rate, how long would it take an ostrich to run 15 miles?

a)

12 minutes

b)

18 minutes

c)

5 minutes

d)

10 minutes

103.

To disinfect 1 quart of stream water to make it drinkable, you need to add 2 tablets of iodine. How many tablets do you need to disinfect 4 quarts?

a)

4 tablets

b)

5 tablets

c)

6 tablets

d)

8 tablets

104.

To disinfect 1 quart of stream water to make it drinkable, you need to add 2 tablets of iodine. How many tablets do you need to disinfect 4 quarts?

a)

4 tablets

b)

5 tablets

c)

6 tablets

d)

8 tablets

105.

A soup that serves 16 people calls for 4 cups of chicken broth. How many cups of chicken broth would you need to make an identical recipe that serves 32 people?

*Use a ratio table to find the answer*

a)

6 cups

b)

4 cups

c)

8 cups

d)

1 cup

106.
Express the ratio as a fraction in the simplest form. 
6 dimes to 18 dimes
a)
½
b)
⅓
c)
⅖
d)
¼
107.
Express the ratio as a fraction in the simplest form. 
14 footballs to 35 footballs 
a)
½
b)
⅓
c)
⅖
d)
¼
108.
Complete the ratio tables
a)
10, 15, 20
b)
15, 20, 25
c)
10, 35, 45
d)
10, 15, 30
109.
Mrs. Shelly paid $3 for 6 muffins and Mrs. Kloske paid $9 for 18 muffins.  
a)
yes, equivalent
b)
no, not equivalent
110.
For a recipe, Brutus uses 4 cups of sugar for every 5 cups of flour. Which of the following show equivalent ratios for sugar to flour?
a)
4/5=8/10 =12/15
b)
4/5 = 5/6 = 6/7
c)
4/5 = 3/4 = 2/3
d)
4/5=8/15=16/45
111.
Which ratio is equivalent to 5 to 4
a)
25 to 20
b)
10 to 12
c)
4 to 5
d)
15 to 8
112.
Solve for A in the table.
a)
A= 40
b)
A= 10
c)
A= 9
d)
A= 45
113.
In the fruit bowl there are 4 apples, 2 bananas, and 5 pears.  What is the ratio of pears to ALL fruit?
a)
5:4
b)
5:11
c)
2:5
d)
6:5
114.
Tommy has a bag of LEGOS.  There are 6 yellow, 3 red, and 8 blue LEGOS.  What is the ratio in simplest form of red to yellow LEGOS?
a)
1/2
b)
6/3
c)
2/1
d)
3/6
115.
Simplify to lowest terms
a)
6
b)
2/8
c)
1/6
d)
 2/12
116.
2.  Write 3 to 9 as a ratio.
a)
3:9
b)
3^9
c)
3 - 9
d)
3 + 9
117.
Using the list below, what is the ratio of goats to the total number of animals at the zoo?
Animals at a Petting Zoo Chickens 2 Deer 4 Donkeys 3 Goats 6
a)
6/15
b)
2/5
c)
6/9
d)
2/3
118.
If there are 5 boys and 7 girls, write the ratio of girls to students
a)
5 is to 7
b)
7 is to 5
c)
5 is to 12
d)
7 is to 12
119.
Using the letters of the phrase STATE OF MASSACHUSETTS write a ratio for vowels to consonants.  Simplify. 
a)
1:2
b)
13:7
c)
1:7
d)
7:13
120.
Express this ratio in simplest form!!

There are 16 male teachers out of 40. 
a)
16:40
b)
2:5
c)
2:9
d)
90:75
121.
What is the definition of a "ratio"? 
a)
comparing two liquads
b)
comparison between two amounts 
c)
comparing two Corbin OGuin's 
d)
comparison between a unit 
122.
In the recipe of a lemonade 2 cups of sugar is needed for 3 lemons. How many lemons are needed for 6 cups of sugar?
a)
4
b)
6
c)
8
d)
9
123.

If there are 5 boys and 7 girls, write the ratio of girls to children. (Select all correct ways to write the ratio).

a)

7 to 12

b)

7 : 5

c)

5 to 12

d)

7/5

e)

7/12

124.

The pet shop has 2 dogs, 4 cats, and 5 hamsters. What is the ratio of dogs to hamsters? (Select all correct ways to write the ratio).

a)

2:4

b)

2:5

c)

5:2

d)

2 to 5

e)

2/4

125.

What is the ratio of the number of students surveyed and the number of students who picked Science as their favorite subject? (Select all answers)

a)

5:12

b)

18:6

c)

5/12

d)

7:15

e)

For every 18 students surveyed, 6 picked science.

126.
Last month, Carly paid a gas and electric bill that totaled $90. The gas portion of the bill was $30. What is the ratio of money spent on gas to money spent on electric?
a)
90:30
b)
30:60
c)
45:90
d)
60:30
127.
Solve the proportion below (show work)
a)
21
b)
7
c)
8
d)
24
128.
Fill in the missing number into the ratio table
a)
55
b)
3
c)
10
d)
11
129.
a)

8

b)

2

c)

16

d)

12

130.

What are the missing values on the table?

a)

1 car and 15 trucks

b)

6 cars and 36 trucks

c)

1 car and 27 trucks

d)

1 car and 36 trucks

131.

What are the missing values in the table?

a)

3.5 towels and 16 blankets

b)

28 towels and 4 blankets

c)

22 towels and 1 blanket

d)

24 blankets and 3.5 towels

132.

What does x equal on this T chart table?

a)

18

b)

24

c)

30

d)

36

133.

In an animal shelter, the ratio of dogs to cats is 5 to 3. There are 25 dogs. Complete a ratio table or tape diagram to find out how many cats there are:

a)

c=15

b)

c=18

c)

c=21

d)

c=16

134.
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
135.
Which is NOT equivalent to 3:5?
a)
15:25
b)
9:15
c)
21:28
d)
30:50
136.
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
137.
There are 8 green marbles and 20 blue marbles in a jar. What is the ratio of green to blue marbles?
a)
2 to 5
b)
5 to 2
c)
1: 2
d)
4:5
138.
What is the ratio to the picture shown, triangles to squares?
a)
2:6
b)
5:6
c)
3:4
d)
4:3
139.
Mrs. Shelly paid $3 for 6 muffins and Mrs. Kloske paid $9 for 18 muffins.  
a)
yes, equivalent
b)
no, not equivalent
140.
Which ratio is equivalent to 3:4
a)
12:14
b)
6:8
c)
4:3
d)
20:15
141.
If 30 kids in the class like grape juice, how many kids like pineapple juice?  Use the tape diagrams to answer.
a)
4
b)
30
c)
70
d)
40
142.

The ratio of girls to boys is 3:8. If there are 48 boys, how many girls are there? Use the tape diagram to help you solve.

a)

6

b)

24

c)

18

d)

72

143.

Alisha has 7 dogs and Jimmie has 2. Pick the tape diagram that matches.

a)
b)
c)
d)
144.
If 30 kids in the class like grape juice, how many kids are there total?  Use the tape diagrams to answer.
a)
4
b)
30
c)
70
d)
40
145.
If there are 120 boys in the group, how many boys and girls are there TOTAL?  Use the tape diagrams to solve.
a)
150
b)
270
c)
250
d)
360
146.
In a bag of Jolly Ranchers, the ratio of blue to red is 3 to 4.  If I have a TOTAL of 56 Jolly Ranchers, how many of them are blue?  Solve with a tape diagram.
a)
12
b)
28
c)
32
d)
24
147.
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
148.
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
149.
Alicia drove at a constant speed and traveled 182.4 miles in 3 hours. What is her rate in miles per hour?
a)
60.8 hours per mile
b)
547.2 miles per hour
c)
56 miles per hour
d)
60.8 miles per hour
150.
Hamburger sells for 3 pounds for $6. If Alicia buys 10 pounds of hamburger, how much will she pay?
a)
$30
b)
$20
c)
$60
d)
$10
151.
1 Pint = 2 Cups 
How many pints are in 16 cups? 
a)
4 pints
b)
8 pints
c)
32 pints
d)
12 pints
152.
1 yard= ______ feet
a)
1
b)
2
c)
3
d)
4
153.
1 mile = 
a)
5,000 inches
b)
5, 820 feet
c)
5,280 feet 
154.
1 year = ____ weeks
a)
60
b)
52
c)
56
d)
45
155.
7 feet = ___ inches
a)
144 inches
b)
49 inches
c)
84 inches
d)
19 inches
156.
42in = ____ft
a)
3 ft
b)
3.5 ft
c)
3.6 ft
d)
504 ft
157.
 330 cm = ___________ m
a)
3,300
b)
33
c)
3.3
d)
0.33

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