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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 marblesratio of blue marbles to black marbles
 8 18 black marbles, 16 blue marbles, 12 gray marbles, and 14 orange marblesratio of black marbles to all the marbles
 9 18 black marbles, 12 blue marbles, and 15 gray marblesratio of gray marbles to blue marbles
 10 9 black marbles, 2 blue marbles, 10 brown marbles, and 16 white marblesratio of black marbles to brown marbles

Complete each ratio table.
11.
 1 3 7 5 25
12.
 19 114 25 100 200
13.
 24 48 144 17 136
14.
 7 49 2 8 12

 Key #2
 aKey #2
Complete each ratio table.
15.
 189 84 40 20 180
16.
 3 12 15 32 16
17.
 66 22 44 76 38
18.
 50 10 10 20 2

Write five equivalent ratios for each ratio.
 19 3:4
 20 20:16
 21 24 to 27
22.
 714
23.
 176
 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.
 99
 35 48:28
36.
 5718
 37 7:14
38.
 1018
 39 30 to 62
 40 10:25
41.
 3232
 42 39 to 6

State whether the ratios are proportional. Write yes or no.
43.
 3035
=
 67
44.
 1110
=
 4440
45.
 58
=
 1524
46.
 3036
=
 56
47.
 1410
=
 497
48.
 2540
=
 85
49.
 368
=
 184
50.
 5852
=
 4842

 Key #2
 aKey #2
State whether the ratios are proportional. Write yes or no.
51.
 4411
=
 41
52.
 42
=
 21
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.
 n22
=
 211
58.
 25
=
 n20
59.
 n6
=
 3542
60.
 109
=
 n45
61.
 40n
=
 1618
62.
 92
=
 45n
63.
 n8
=
 1232
64.
 1610
=
 n20

Find the missing number.
65.
 42 to n = 7 to 4
66.
 4:11 = n:22
67.
 n16
=
 98
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

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.
 3540
=
 78
119.
 20 to 36 , 6 to 9
120.
 6:5 , 10:9
121.
 20:45 , 18:50
122.
 3012
=
 104