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Ratios
Math

 Name _____________________________ Date ___________________
Ratios
Write each ratio in three ways. Write your answer in simplest form.
 1 all figures to squares
 2 all figures to triangles
 3 triangles to circles
 4 square to total
 5 * This is a pre-made sheet.Use the link at the top of the page for a printable page.
 6 triangles to squares

Write each ratio in three ways. Write your answer in simplest form.
 7 9 black marbles, 8 blue marbles, 14 brown marbles, and 7 gray marblesratio of gray marbles to all the marbles
 8 8 black marbles, 6 blue marbles, and 15 brown marblesratio of blue marbles to brown marbles
 9 15 black marbles and 2 blue marblesratio of blue marbles to black marbles
 10 8 black marbles, 17 blue marbles, 7 brown marbles, and 14 green marblesratio of black marbles to brown marbles

Complete each ratio table.
11.
 13 91 8 48 80
12.
 19 57 133 16 160
13.
 25 175 24 96 216
14.
 11 55 66 4 28

 Key #2
Complete each ratio table.
15.
 76 95 19 80 60
16.
 21 28 2 20 8
17.
 64 112 26 52 13
18.
 48 40 8 92 138

Write five equivalent ratios for each ratio.
19.
 4050
 20 12 to 13
 21 30:28
22.
 1016
 23 20:20
 24 6 to 6
25.
 219
 26 16:15
 27 52 to 16

Write each ratio in simplest form.
 28 45 to 45
29.
 4030
 30 2 to 20
 31 19 to 17
32.
 1228
33.
 66
 34 7 to 19
 35 18:24
 36 33:54
 37 60 to 63
 38 36 to 30
39.
 4045
40.
 1614
 41 34:28
 42 56:28

State whether the ratios are proportional. Write yes or no.
43.
 2021
=
 78
44.
 408
=
 15
45.
 65
=
 310
46.
 4411
=
 45
47.
 2639
=
 3742
48.
 4545
=
 3131
49.
 311
=
 1244
50.
 3020
=
 2718

 Key #2
State whether the ratios are proportional. Write yes or no.
51.
 24:14 , 29:19
52.
 94
=
 624
53.
 2 to 1 , 18 to 9
54.
 45
=
 3645
55.
 9 to 16 , 5 to 12
56.
 1820
=
 4550

Find the missing number.
57.
 32
=
 24n
58.
 104
=
 n2
59.
 n27
=
 89
60.
 1n
=
 424
61.
 6n
=
 936
62.
 n12
=
 226
63.
 1215
=
 32n
64.
 4230
=
 n20

Find the missing number.
65.
 27 to 15 = n to 5
66.
 18n
=
 94
67.
 35
=
 18n
68.
 40 to n = 10 to 9
69.
 113
=
 n12
70.
 n36
=
 13

Create a proportion from each set of numbers.
 71 40, 8, 3, 15
 72 35, 1, 7, 5
 73 15, 5, 9, 27
 74 11, 33, 21, 7
 75 10, 45, 8, 36
 76 33, 16, 24, 22

 Key #2
Create a proportion from each set of numbers.  Only use 4 numbers from each set of numbers.
 77 53, 1, 18, 2, 9
 78 7, 45, 9, 35, 56
 79 12, 1, 4, 48, 17
 80 6, 11, 44, 33, 24
 81 12, 15, 40, 10, 3
 82 6, 4, 10, 32, 48

Create a proportion from each set of numbers.  Only use 4 numbers from each set of numbers.
 83 23, 18, 30, 5, 3, 58
 84 21, 36, 12, 5, 8, 7
 85 13, 10, 50, 7, 35, 29
 86 36, 44, 60, 4, 16, 9
 87 15, 45, 27, 25, 9, 4
 88 32, 45, 53, 5, 20, 8

Fill in the blank.
 89 30 calls in 15 hours  =  ______   calls in 3 hours
 90 51 pages in 1 day  =  ______   pages in 2 days
 91 292 meters in 4 seconds  =  ______   meters in 12 seconds
 92 64 seats in 8 rows  =  ______   seats in 2 rows
 93 177 miles in 3 hours  =  ______   miles in 9 hours
 94 336 meters in 8 seconds  =  ______   meters in 4 seconds

Find the unit rate.
 95 18 seats in 1 row
 96 2,400 miles in 6 hours
 97 282 pages in 3 days
 98 1,260 meters in 20 seconds
 99 18 calls in 9 hours
 100 24 calls in 8 hours

 Key #2
Fill in the blank.
 101 25 calls in 5 hours  =  ______   calls in 8 hours
 102 511 meters in 7 seconds  =  ______   meters in 12 seconds
 103 962 miles in 2 hours  =  ______   miles in 11 hours
 104 1,248 pages in 12 days  =  ______   pages in 10 days
 105 48 seats in 6 rows  =  ______   seats in 11 rows
 106 6 calls in 3 hours  =  ______   calls in 10 hours

107.
 9 batteries for \$13.50 21 batteries for \$29.40
108.
 34 staplers for \$646 3 staplers for \$48
109.
 \$24 for 20 batteries \$29 for 29 batteries
110.
 31 pounds for \$46.19 11 pounds for \$22.66
111.
 16 pounds for \$41.12 27 pounds for \$80.73
112.
 \$325 for 25 books \$612 for 36 books
113.
 23 batteries for \$25.99 6 batteries for \$10.80
114.
 \$360 for 24 staplers \$558 for 31 staplers

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

115.
length of sides:
 CB  = 144 cm AC  = 24 cm AB  = 168 cm

 IH  = 108 cm GH  = 126 cm GI  = ________
116.
length of sides:
 HG  = 45 yd EH  = 150 yd FE  = 105 yd GF  = ________

 NO  = 60 yd OP  = 18 yd PM  = 54 yd MN  = 42 yd

State whether the ratios are proportional. Write yes or no.
117.
 2832
=
 87
118.
 1110
=
 2220
119.
 13
=
 1027
120.
 79
=
 2127
121.
 123
=
 82
122.
 1244
=
 4811
123.
 4510
=
 1813
124.
 4527
=
 3050

Sample
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