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Sample - Click above to make a new math worksheet (PDF).
Name _____________________________
Date ___________________
Ratios
Write each ratio in three ways. Write your answer in simplest form.
1.   * This is a pre-made sheet.
Use the link at the top of the page for a printable page.
2.  
square to triangles
3.  
circles to triangle
4.  
total to circles
5.  
square to total
6.  
all figures to triangles

Write each ratio in three ways. Write your answer in simplest form.
7.   17 black marbles, 12 blue marbles, 7 white marbles, and 2 violet marbles

ratio of violet marbles to all the marbles
8.   17 brown marbles and 2 white marbles

ratio of white marbles to brown marbles
9.   9 white marbles, 14 violet marbles, and 16 red marbles

ratio of white marbles to all the marbles
10.   17 black marbles, 12 blue marbles, and 18 white marbles

ratio of blue marbles to black marbles

Complete each ratio table.
11.  
1352
20140160
12.  
41232
21147
13.  
104080
1995
14.  
23161
2496144

 

Key #2
aKey #2
Complete each ratio table.
15.  
13222
10413117
16.  
271218
218
17.  
4921
32284
18.  
28714
13338

Write five equivalent ratios for each ratio.
19.   7 to 15
20.   2:10
21.  
10

13
22.   9:20
23.   18 to 4
24.  
14

18
25.   40:18
26.   13 to 17
27.  
12

3

Write each ratio in simplest form.
28.   28:16
29.  
20

50
30.   32 to 26
31.   63:42
32.  
14

19
33.   33 to 48
34.  
6

15
35.   60 to 24
36.   24 to 14
37.  
50

15
38.   66:48
39.   56:44
40.  
69

60
41.   54:18
42.   4:7

State whether the ratios are proportional. Write yes or no.
43.  
25

5
  =  
5

1
44.  
20

3
  =  
22

6
45.  
24

32
  =  
3

4
46.  
10

13
  =  
1

4
47.  
18

30
  =  
21

35
48.  
14

7
  =  
21

14
49.  
27

45
  =  
3

5
50.  
24

33
  =  
32

44

 

Key #2
aKey #2
State whether the ratios are proportional. Write yes or no.
51.  
16:40,  2:5
52.  
13 to 26,  1 to 2
53.  
2

4
  =  
1

8
54.  
6 to 7,  14 to 12
55.  
11 to 8,  24 to 33
56.  
30:48,  34:52

Find the missing number.
57.  
15

n
  =  
1

3
58.  
n

2
  =  
3

1
59.  
4

8
  =  
1

n
60.  
50

n
  =  
10

3
61.  
24

48
  =  
20

n
62.  
n

9
  =  
16

6
63.  
9

33
  =  
12

n
64.  
n

12
  =  
15

36

Find the missing number.
65.  
n:10  =  2:1
66.  
9 to 4  =  n to 12
67.  
5

4
  =  
20

n
68.  
n:2  =  35:10
69.  
10

n
  =  
14

49
70.  
n:11  =  24:44

Create a proportion from each set of numbers.
71.   9, 10, 2, 45

72.   11, 44, 48, 12

73.   2, 7, 12, 42

74.   9, 36, 32, 8

75.   8, 20, 4, 40

76.   42, 4, 4, 42


 

Key #2
aKey #2
Create a proportion from each set of numbers.  Only use 4 numbers from each set of numbers.
77.   46, 1, 9, 36, 4

78.   7, 49, 7, 1, 13

79.   48, 41, 11, 12, 44

80.   3, 2, 4, 32, 6

81.   44, 20, 30, 32, 48

82.   35, 21, 15, 36, 49


Create a proportion from each set of numbers.  Only use 4 numbers from each set of numbers.
83.   12, 3, 13, 10, 60, 40

84.   5, 12, 18, 2, 25, 45

85.   48, 7, 12, 8, 28, 5

86.   46, 54, 39, 1, 2, 23

87.   21, 35, 53, 50, 24, 40

88.   14, 8, 32, 40, 21, 12


Fill in the blank.
89.   452 miles in 1 hour  =  ______   miles in 5 hours
90.   120 seats in 8 rows  =  ______   seats in 4 rows
91.   660 pages in 6 days  =  ______   pages in 2 days
92.   12 calls in 3 hours  =  ______   calls in 12 hours
93.   261 meters in 3 seconds  =  ______   meters in 6 seconds
94.   560 pages in 10 days  =  ______   pages in 2 days

Find the unit rate.
95.   66 seats in 6 rows

96.   160 miles in 4 hours

97.   48 calls in 12 hours

98.   64 meters in 1 second

99.   276 pages in 2 days

100.   174 seats in 6 rows


 

Key #2
aKey #2
Fill in the blank.
101.   684 pages in 6 days  =  ______   pages in 4 days
102.   40 calls in 8 hours  =  ______   calls in 9 hours
103.   153 meters in 3 seconds  =  ______   meters in 10 seconds
104.   5,489 miles in 11 hours  =  ______   miles in 5 hours
105.   48 seats in 4 rows  =  ______   seats in 3 rows
106.   320 meters in 8 seconds  =  ______   meters in 5 seconds

Circle the better buy. Explain why it is the better buy.
107.  
4 DVDs for $60
8 DVDs for $88
108.  
$336 for 21 calendars
$22 for 2 calendars
109.  
$70 for 7 calculators
$450 for 30 calculators
110.  
27 calendars for $324
23 calendars for $322
111.  
$196 for 28 staplers
$297 for 33 staplers
112.  
11 staplers for $165
35 staplers for $595
113.  
24 liters for $12.48
6 liters for $4.14
114.  
$24.36 for 12 pounds
$39.78 for 18 pounds

Use a proportion to find the unknown length in the pair of similar figures.
(drawings are not drawn to scale)

115.  
length of sides:
ED  =  22 yd
FD  =  18 yd
FE  =  ________
        
GI  =  11 yd
GH  =  9 yd
IH  =  2 yd
116.  
length of sides:
KJ  =  42 ft
JI  =  21 ft
IL  =  84 ft
LK  =  ________
        
PM  =  78 ft
MN  =  39 ft
OP  =  182 ft
NO  =  156 ft

Complete each ratio table.
117.  
5202535
11
118.  
23
224488110
119.  
1199
92736
120.  
94554
25225

 


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