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Name _____________________________
Date ___________________
Ratios
Write each ratio in three ways. Write your answer in simplest form.
1.  
circles to squares
2.  
squares to triangles
3.  
total to triangles
4.  
squares to total
5.  
triangles to square
6.  
circles to all figures

Write each ratio in three ways. Write your answer in simplest form.
7.   9 black marbles and 11 blue marbles

ratio of blue marbles to black marbles
8.   18 black marbles, 16 blue marbles, 12 gray marbles, and 14 orange marbles

ratio of black marbles to all the marbles
9.   18 black marbles, 12 blue marbles, and 15 gray marbles

ratio of gray marbles to blue marbles
10.   9 black marbles, 2 blue marbles, 10 brown marbles, and 16 white marbles

ratio of black marbles to brown marbles

Complete each ratio table.
11.  
137
525
12.  
19114
25100200
13.  
2448144
17136
14.  
749
2812

 

Key #2
aKey #2
Complete each ratio table.
15.  
18984
4020180
16.  
31215
3216
17.  
662244
7638
18.  
5010
10202

Write five equivalent ratios for each ratio.
19.   3:4
20.   20:16
21.   24 to 27
22.  
7

14
23.  
17

6
24.   13 to 5
25.   15:13
26.   19:3
27.   14 to 19

Write each ratio in simplest form.
28.   9:60
29.   40 to 38
30.   17 to 17
31.   14 to 12
32.   6:8
33.   30 to 12
34.  
9

9
35.   48:28
36.  
57

18
37.   7:14
38.  
10

18
39.   30 to 62
40.   10:25
41.  
32

32
42.   39 to 6

State whether the ratios are proportional. Write yes or no.
43.  
30

35
  =  
6

7
44.  
11

10
  =  
44

40
45.  
5

8
  =  
15

24
46.  
30

36
  =  
5

6
47.  
14

10
  =  
49

7
48.  
25

40
  =  
8

5
49.  
36

8
  =  
18

4
50.  
58

52
  =  
48

42

 

Key #2
aKey #2
State whether the ratios are proportional. Write yes or no.
51.  
44

11
  =  
4

1
52.  
4

2
  =  
2

1
53.  
15 to 20,  3 to 4
54.  
50:40,  60:50
55.  
16:32,  20:40
56.  
2 to 16,  6 to 48

Find the missing number.
57.  
n

22
  =  
2

11
58.  
2

5
  =  
n

20
59.  
n

6
  =  
35

42
60.  
10

9
  =  
n

45
61.  
40

n
  =  
16

18
62.  
9

2
  =  
45

n
63.  
n

8
  =  
12

32
64.  
16

10
  =  
n

20

Find the missing number.
65.  
42 to n  =  7 to 4
66.  
4:11  =  n:22
67.  
n

16
  =  
9

8
68.  
3:n  =  21:35
69.  
5:n  =  25:15
70.  
30 to 18  =  n to 15

Create a proportion from each set of numbers.
71.   48, 6, 5, 40
72.   40, 28, 10, 7
73.   2, 10, 15, 3
74.   40, 20, 2, 1
75.   44, 22, 6, 12
76.   24, 48, 6, 3

 

Key #2
aKey #2
Create a proportion from each set of numbers.  Only use 4 numbers from each set of numbers.
77.   8, 10, 11, 22, 5
78.   16, 9, 5, 15, 3
79.   33, 7, 25, 5, 35
80.   26, 12, 3, 4, 16
81.   6, 14, 15, 35, 43
82.   36, 8, 10, 48, 45

Create a proportion from each set of numbers.  Only use 4 numbers from each set of numbers.
83.   18, 12, 10, 3, 40, 48
84.   30, 50, 31, 40, 5, 4
85.   48, 1, 12, 6, 40, 8
86.   7, 9, 57, 2, 45, 35
87.   35, 11, 12, 15, 28, 59
88.   44, 40, 55, 21, 33, 30

Fill in the blank.
89.   120 seats in 4 rows  =  ______   seats in 8 rows
90.   263 miles in 1 hour  =  ______   miles in 5 hours
91.   32 calls in 8 hours  =  ______   calls in 2 hours
92.   603 meters in 9 seconds  =  ______   meters in 3 seconds
93.   348 pages in 6 days  =  ______   pages in 3 days
94.   102 seats in 6 rows  =  ______   seats in 2 rows

Find the unit rate.
95.   72 seats in 3 rows
96.   292 pages in 4 days
97.   3,860 miles in 20 hours
98.   4 calls in 1 hour
99.   876 meters in 12 seconds
100.   8 calls in 2 hours

 

Key #2
aKey #2
Fill in the blank.
101.   138 seats in 6 rows  =  ______   seats in 8 rows
102.   532 meters in 7 seconds  =  ______   meters in 10 seconds
103.   1,284 miles in 12 hours  =  ______   miles in 9 hours
104.   261 pages in 3 days  =  ______   pages in 5 days
105.   8 calls in 4 hours  =  ______   calls in 8 hours
106.   1,458 miles in 6 hours  =  ______   miles in 3 hours

Circle the better buy. Explain why it is the better buy.
107.  
$357 for 21 calculators
$300 for 12 calculators
108.  
14 pounds for $17.64
39 pounds for $65.52
109.  
$1.20 for 3 liters
$2.38 for 7 liters
110.  
23 calculators for $483
34 calculators for $816
111.  
18 pens for $6.48
10 pens for $2.90
112.  
$96 for 8 DVDs
$190 for 19 DVDs
113.  
$110 for 10 books
$350 for 25 books
114.  
13 calendars for $143
17 calendars for $306

Use a proportion to find the unknown length in the pair of similar figures.
(drawings are not drawn to scale)
115.  
length of sides:
KJ  =  72 km
LK  =  54 km
JI  =  45 km
IL  =  108 km
        
OP  =  ________
PM  =  88 km
MN  =  55 km
NO  =  132 km
116.  
length of sides:
JL  =  27 yd
KJ  =  9 yd
KL  =  12 yd
        
AC  =  54 yd
CB  =  ________
AB  =  24 yd

State whether the ratios are proportional. Write yes or no.
117.  
36:27,  3:4
118.  
35

40
  =  
7

8
119.  
20 to 36,  6 to 9
120.  
6:5,  10:9
121.  
20:45,  18:50
122.  
30

12
  =  
10

4

 

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