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Ratios
Math
Grade 5 Math
Grade 6 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 marbles

ratio of gray marbles to all the marbles
8.   8 black marbles, 6 blue marbles, and 15 brown marbles

ratio of blue marbles to brown marbles
9.   15 black marbles and 2 blue marbles

ratio of blue marbles to black marbles
10.   8 black marbles, 17 blue marbles, 7 brown marbles, and 14 green marbles

ratio of black marbles to brown marbles

Complete each ratio table.
11.  
1391
84880
12.  
1957133
16160
13.  
25175
2496216
14.  
115566
428

 

Key #2
Complete each ratio table.
15.  
769519
8060
16.  
2128
2208
17.  
64112
265213
18.  
48408
92138

Write five equivalent ratios for each ratio.
19.  
40

50
20.   12 to 13
21.   30:28
22.  
10

16
23.   20:20
24.   6 to 6
25.  
2

19
26.   16:15
27.   52 to 16

Write each ratio in simplest form.
28.   45 to 45
29.  
40

30
30.   2 to 20
31.   19 to 17
32.  
12

28
33.  
6

6
34.   7 to 19
35.   18:24
36.   33:54
37.   60 to 63
38.   36 to 30
39.  
40

45
40.  
16

14
41.   34:28
42.   56:28

State whether the ratios are proportional. Write yes or no.
43.  
20

21
  =  
7

8
44.  
40

8
  =  
1

5
45.  
6

5
  =  
3

10
46.  
44

11
  =  
4

5
47.  
26

39
  =  
37

42
48.  
45

45
  =  
31

31
49.  
3

11
  =  
12

44
50.  
30

20
  =  
27

18

 

Key #2
State whether the ratios are proportional. Write yes or no.
51.  
24:14,  29:19
52.  
9

4
  =  
6

24
53.  
2 to 1,  18 to 9
54.  
4

5
  =  
36

45
55.  
9 to 16,  5 to 12
56.  
18

20
  =  
45

50

Find the missing number.
57.  
3

2
  =  
24

n
58.  
10

4
  =  
n

2
59.  
n

27
  =  
8

9
60.  
1

n
  =  
4

24
61.  
6

n
  =  
9

36
62.  
n

12
  =  
22

6
63.  
12

15
  =  
32

n
64.  
42

30
  =  
n

20

Find the missing number.
65.  
27 to 15  =  n to 5
66.  
18

n
  =  
9

4
67.  
3

5
  =  
18

n
68.  
40 to n  =  10 to 9
69.  
11

3
  =  
n

12
70.  
n

36
  =  
1

3

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

Circle the better buy. Explain why it is the better buy.
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.  
28

32
  =  
8

7
118.  
11

10
  =  
22

20
119.  
1

3
  =  
10

27
120.  
7

9
  =  
21

27
121.  
12

3
  =  
8

2
122.  
12

44
  =  
48

11
123.  
45

10
  =  
18

13
124.  
45

27
  =  
30

50

 


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Ratios
Math
Grade 5 Math
Grade 6 Math