PMI – 6th Grade
Ratios, Proportions, and Percents Unit
Name:__________________
Date:___________________
Writing Ratios 1
Write the ratio in 3 different ways.
1. There are 3 girls to 7 boys in band. ______________________________
2. There are 3 hamsters to 2 gerbils at the pet store. ______________________________
3. There are 23 students to 1 teacher at the school. ______________________________
4. There are 4 pants to 3 dresses at the clothing store. ______________________________
5. There are 4 batteries to 1 calculator. ______________________________
Write the ratio in simplest form.
The table at the right shows how many students voted on
their favorite ice cream flavors in Mr. Smith’s class.
6. What is the ratio of votes of chocolate to vanilla ice cream? ____________________
7. What is the ratio of votes of strawberry to cookies and cream ice cream? ___________________
8. What is the ratio of votes of cookies and cream to chocolate ice cream? ____________________
9. What is the ratio of votes of vanilla to cookies and cream ice cream? ____________________
10. What is the ratio of votes of chocolate to strawberry ice cream? ____________________
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PMI – 6th Grade
Ratios, Proportions, and Percents Unit
Name:__________________
Date:___________________
Writing Ratios 2
The students in Mr. Patel’s class play instruments.
8 students play the trumpet
2 students play the clarinet
4 students play the piano
1 student plays the violin
Compare the different instruments that the students in Mr. Patel’s class play in 4 different ways
(describe in words):
11. ____________________________________________________________
12. ____________________________________________________________
13. ____________________________________________________________
14. ____________________________________________________________
15. What is the ratio of students that play the piano to the students that play the trumpet?___
Phil has a salt water fish tank at home. The table at the right shows the
different animals that live in the tank. Use the table to answer the
following questions.
16. What is the ratio of clown fish to angelfish?_________
17. What is the ratio of anemones to snails? _________
18. What is the ratio of crabs to all animals in the tank? _________
19. What is the ratio of crabs to anemones? _________
20. What is the ratio of snails to all animals in the tank? _________
Equivalent Ratios 1
Are the following ratios equivalent? Write yes
or no.
1
2
21. 3 and 4
3
6
22. and
4
8
1
9
3
28
4
8
23. and
24. 7 and 14
2
4
25. 3 and 6
_________
_________
Write an equivalent ratio for each:
26.
_________
20
=
30
_________
75
27. 100=_________
_________
28.
_________
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10
=_________
14
5
29. 6=_________
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PMI – 6th Grade
Ratios, Proportions, and Percents Unit
30.
Name:__________________
Date:___________________
2
=_________
10
Equivalent Ratios 2
Mr. Mundo’s class went on a field trip to the local petting
zoo. The table at the right shows the animals the students
saw at the farm. Answer the following questions.
Goats
31. Which ratio of animals is 1 to 2? ______________________________
32. Which animal had 3 times the number of rabbits? ______________________________
33. Which two ratios are equivalent? ______________________________
34. If there were four times as many ducks as rabbits, how many ducks were at the petting zoo?
______________________________
35. Which ratio is 4 to 1? ______________________________
Use the table at the right to answer the following questions.
36. How much does 1 gallon of gas cost?
37. How much does 4 gallons of gas cost?
38. What is the cost to gallon ratio?
39. If Phillip’s car needs 18 gallons to fill up, how much will that cost?
40. The cost of diesel fuel is $4.15 per gallon (more expensive than
regular gas). Fill in the table using this information.
Equivalent Ratios 3
41. The ratio of insects to arachnids is 8 to 5 at the museum. Fill in the table.
Insects
8
16
24
32
40
48
Arachnids 5
10
42. James can run 3 miles for every 1.5 mile Carrie can run. Fill in the table.
James
3
4
5
6
Carrie
1.5
2.5
3
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PMI – 6th Grade
Ratios, Proportions, and Percents Unit
Name:__________________
Date:___________________
43. For every 1 latte the café sells, they sell 3 cappuccinos.
Latte
1
2
Cappuccino
3
44. Apples cost $5.00 for every 2 lbs.
Cost
$5.00
Lbs.
2
3
4
12
$10.00
$15.00
45. For every 3 stickers that Cassie earns, Michael earns 4. Fill in the table.
Cassie
3
6
9
12
15
Michael
4
8
18
46. A recipe calls for 1 cup of sugar for every 2 cups of flour. Make a table showing the possible
combinations.
47. Phyllis is painting her house green. She needs to mix 3 parts yellow to 1 part blue to get the
shade of green. Fill in the table to show the possible amounts she can use.
Fill in the correct values for the following tables.
48.
10
20
30
30
60
40
50
60
49.
2
$1.00
3
$1.50
4
5
6
50.
1
15
2
3
45
4
5
6
Rates and Unit Rates 1
51. $72.00 in 12 hours
52. 120 students per 40 teachers
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PMI – 6th Grade
Ratios, Proportions, and Percents Unit
Name:__________________
Date:___________________
53. 8 slices per 2 people
54. 990 miles per 30 gallons of gas
55. 60 votes per 10 hours
56. 24 rolls of toilet paper for $16.00
57. 1500 km in 3 hours
58. 42 feet in 6 minutes
59. 45 bags in 5 minutes
60. $9.45 in 3 hours
Rates and Unit Rates 2
61. Matt bought 3 cantaloupes for $2.07. How much does one cantaloupe cost?
62. Sarah traveled 330 miles in 6 hours. How fast was she traveling?
63. Melinda bought 16 oz. of blueberries for $9.44. How much did it cost per ounce?
64. There are 1144 chairs in the school and 286 students. How many chairs are there per student?
65. Michelle bought 8 heads of lettuce for $7.92. How much did each head of lettuce cost?
Rates and Unit Rates 3
66. Lulu has to buy paper towels. She can buy 3 rolls for $2.97, 12 rolls for $10.80, or 20 rolls for
$18.40. Assuming all the rolls are the same type of paper towel which is the best deal?
67. Kelly wants gummy bears. She can buy an 8 oz. bag for $0.88, a 12 oz. bag for $1.20, or a 24 oz.
bag for $2.16. Which bag should Kelly buy to get the best deal?
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PMI – 6th Grade
Ratios, Proportions, and Percents Unit
Name:__________________
Date:___________________
68. Bert is at the bakery. He is looking at different types of cakes. He sees one that serves 2 and
costs $4.50, another serves 8 and costs $10.00, and another cake that serves 10 and costs
$20.00. Which cake is the most expensive per serving?
69. Carlos can run 5 miles in 45 minutes, Kelly can run 10 miles in 80 minutes, and Mick can run 30
miles in 170 minutes. Who can run the fastest mile?
70. Hailey can do 24 math problems in 48 seconds, Robert can do 30 math problems in 60 seconds,
and Krista can do 90 math problems in 135 seconds. Who has the fastest time completing one
problem?
Using Ratios to Convert Measurements 1
71. ___ inches = 5 feet
72. ___ feet = 24 yards
73. 96 inches = ____ feet
74. 10,560 feet = __________ yards
75. _____ feet = 3.5 miles
76. 144 inches = ___ yards
77. 513 feet = ___ yards
78. ________yards = 4.5 miles
79. 73 inches = ___ yards
80. ___________ feet = 7 miles
81. Catherine needs four pieces of ribbon that are 24 inches long. How many feet is this in total?
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PMI – 6th Grade
Ratios, Proportions, and Percents Unit
Name:__________________
Date:___________________
82. Carla’s room measures 9.5 feet by 11.5 feet. What are the dimensions in inches?
83. Robert lives 4 miles from school. What is this distance in feet?
84. Cynthia walked 2 miles on Monday, jogged 1.5 miles on Tuesday, and ran 1 mile on Wednesday.
What is this distance in feet that she exercised?
85. Sam walked 1,680 feet to the post office from her house. She then walked 15,000 feet to the
park and 15,000 feet back to the post office. What is the total distance she walked, in miles?
Using Ratios to Convert Measurements 2
86. 1.5 in = _____ cm
87. 5 lb = _____ kg
88. ___ lb = 4 kg
89. 2 mi = _____ km
90. 3.5 ft = ____ m
91. ____ mi = 11.62 km
92. 2.5 lb = _____ kg
93. ____ ft = 1.2 m
94. _____ in = 30.48 cm
95. ____ gal = 2.54 l
96. Karen’s mail box is 30 feet from her front door. What is this distance in meters?
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PMI – 6th Grade
Ratios, Proportions, and Percents Unit
Name:__________________
Date:___________________
97. Sasha got a 10 lb bag of oranges. What is this weight in kg?
98. Fred filled up a kiddie pool that held 30 gallons of water. What is this amount in liters?
99. Paul lives 3.2 km away from school. What is this distance in miles?
100. Craig can jump 4 feet in the air. How high does he jump, in meters?
Using Ratios to Convert Measurements 3
101. A cake recipe calls for 12 cups of sugar at a bakery.
How many pints is this?
102. A rhino weighs 1.5 tons. How many lbs do 4 rhinos
weigh?
103. Sandy has 1 quart and 1 pint of soda. How many
cups can she divide this amount into?
104. A baby weighs 9 lb and 2 oz. What is the baby’s weight in ounces?
105. Sonya drove 25 km to her friend’s house. What is this distance in meters?
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PMI – 6th Grade
Ratios, Proportions, and Percents Unit
Name:__________________
Date:___________________
106. What is 3 kg and 500 g multiplied by 3?
107. What is 10 km and 90 m divided by 5?
108. What is 3 cups and 9 oz multiplied by 4?
109. What is 100 km and 60 m multiplied by 10?
110. What is 24 lb and 5 oz multiplied by 4?
Converting Unit Ratios 1
Write the conversion factor that you would multiply to the left unit to convert to the unit on the right.
111. 15 feet  miles
112. 1.5 feet  inches
113. 240 seconds  minutes
114. 7 days  hours
115. 32 oz  pounds
116. 34 weeks  days
117. 36 months  year
118. 5 cups  ounces
119.
$20,000
1 𝑦𝑒𝑎𝑟
=
$ 𝑑𝑜𝑙𝑙𝑎𝑟𝑠
1 𝑚𝑜𝑛𝑡ℎ
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PMI – 6th Grade
Ratios, Proportions, and Percents Unit
120.
$3.00
1 𝑙𝑏
121.
50 𝑚𝑖𝑙𝑒𝑠
1 ℎ𝑜𝑢𝑟
122.
30 𝑠𝑒𝑐𝑜𝑛𝑑𝑠
30 𝑚𝑖𝑙𝑒𝑠
Name:__________________
Date:___________________
$ 𝑑𝑜𝑙𝑙𝑎𝑟𝑠
1 𝑜𝑢𝑛𝑐𝑒
=
𝑥 𝑚𝑖𝑙𝑒𝑠
= 𝑚𝑖𝑛𝑢𝑡𝑒
50 𝑓𝑒𝑒𝑡
𝑥 𝑖𝑛𝑐ℎ𝑒𝑠
1 ℎ𝑜𝑢𝑟
123. 2 ℎ𝑜𝑢𝑟𝑠 =
124.
1 𝑑𝑎𝑦
$100
125.
4 𝑓𝑒𝑒𝑡
1 𝑠𝑒𝑐𝑜𝑛𝑑
1 𝑚𝑖𝑛
= 𝑥 𝑚𝑖𝑙𝑒𝑠
1 𝑚𝑜𝑛𝑡ℎ
= $ 𝑑𝑜𝑙𝑙𝑎𝑟𝑠
𝑥 𝑓𝑒𝑒𝑡
1 ℎ𝑜𝑢𝑟
=
Converting Unit Ratios 2
126.
$1000
1 𝑚𝑜𝑛𝑡ℎ
=
𝑥 𝑑𝑜𝑙𝑙𝑎𝑟𝑠
1 𝑦𝑒𝑎𝑟
1000 𝑓𝑒𝑒𝑡
𝑥 𝑓𝑒𝑒𝑡
127. 2 𝑠𝑒𝑐𝑜𝑛𝑑𝑠 = 1 𝑚𝑖𝑛𝑢𝑡𝑒
12 𝑓𝑒𝑒𝑡
𝑥 𝑖𝑛𝑐ℎ𝑒𝑠
1 ℎ𝑜𝑢𝑟
128. 2 ℎ𝑜𝑢𝑟𝑠 =
$1,400
𝑥 𝑑𝑜𝑙𝑙𝑎𝑟𝑠
1 𝑤𝑒𝑒𝑘
129. 2 𝑤𝑒𝑒𝑘𝑠 =
130.
20 𝑠𝑒𝑐
2 𝑚𝑖𝑙𝑒𝑠
131.
4 𝑖𝑛𝑐ℎ𝑒𝑠
2 𝑑𝑎𝑦𝑠
132.
6 𝑚𝑜𝑛𝑡ℎ𝑠
10 𝑓𝑒𝑒𝑡
=
1 𝑚𝑖𝑛
𝑥 𝑚𝑖𝑙𝑒𝑠
=
$10
133. 2 ℎ𝑜𝑢𝑟 =
134.
4 𝑚𝑜𝑛𝑡ℎ𝑠
3 𝑖𝑛𝑐ℎ𝑒𝑠
135.
1 𝑑𝑎𝑦
$50
𝑥 𝑓𝑒𝑒𝑡
1 𝑑𝑎𝑦
=
1 𝑦𝑒𝑎𝑟
𝑥 𝑓𝑒𝑒𝑡
𝑥 𝑑𝑜𝑙𝑙𝑎𝑟𝑠
1 𝑑𝑎𝑦
=
1 𝑦𝑒𝑎𝑟
𝑥 𝑖𝑛𝑐ℎ𝑒𝑠
1 𝑤𝑒𝑒𝑘
= 𝑥 𝑑𝑜𝑙𝑙𝑎𝑟𝑠
Converting Unit Ratios 3
Find the equivalent rate using a conversion factor.
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PMI – 6th Grade
Ratios, Proportions, and Percents Unit
Name:__________________
Date:___________________
136. A machine can make 30 yards of ribbon in one minute. How many yards of ribbon can it make
in one hour?
137. Linda makes $840.00 in one week. How much money does she make in one day?
138. A boat can take 30 people around Manhattan in one hour. How many people will it carry in
one day?
139. Sarah can type 75 words per minute. How many words can she type in one hour?
140. Michael’s juicer can make 8 oz of juice in 5 minutes. How much juice can the juicer make in
one hour?
Percents and Fractions 1
141. _________________________
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PMI – 6th Grade
Ratios, Proportions, and Percents Unit
Name:__________________
Date:___________________
142. _________________________
143. _________________________
144. _________________________
145. _________________________
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PMI – 6th Grade
Ratios, Proportions, and Percents Unit
Name:__________________
Date:___________________
Shade in the correct percentage.
146. 15%
147. 99%
148. 75%
149. 46%
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PMI – 6th Grade
Ratios, Proportions, and Percents Unit
Name:__________________
Date:___________________
150. 11%
Percents and Fractions 2
Find the percent the fraction equals.
3
6
156. 10 =
7
157. 5 =
151. 10 =
4
152. 25 =
158.
3
4
153. =
34
9
155.
=
159. 100 =
154. 25 =
1
50
6
50
160.
=
9
10
=
Percents and Fractions 3
164. 100%
Write the fraction in simplified form.
161. 5%
165. 95%
162. 61%
166. 67%
163. 99%
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167. 40%
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PMI – 6th Grade
Ratios, Proportions, and Percents Unit
Name:__________________
Date:___________________
169. 32%
168. 62%
170. 76%
Percents & Decimals 1
178. 1.05
Change the decimal into a percent.
171. 0.09
179. 0.45
172. 0.6
180. 0.66
173. 8.9
181. 0.85
174. 0.991
182. 1.33
175. 1.2
183. 2.221
176. 0.77
184. 0.98
177. 0.789
185. 1.65
Percents & Decimals 2
Change the percent into a decimal.
193. 24.5%
186. 2%
194. 56.2%
187. 1%
195. 78.9%
188. 10%
196. 90%
189. 21%
197. 101%
190. 313%
198. 81%
191. 0.09%
199. 0.07%
192. 0.0001%
200. 0.019%
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PMI – 6th Grade
Ratios, Proportions, and Percents Unit
Name:__________________
Date:___________________
Using Percents 1
Set up a proportion to find the answer.
201. What is 28% of 25?
202. What is 12% of 200?
203. What is 50% of 50?
204. What is 80% of 50?
205. What is 92% of 50?
206. What is 16% of 25?
207. What is 20% of 20?
208. What is 35% of 25?
209. What is 30% of 100?
210. What is 40% of 25?
Using Percents 2
211. Out of the 100 student surveyed in the 6th grade, 20% said black was their favorite color. How
many students chose black as their favorite color?
212. Chris surveyed his high school and found that 64% of the 400 students use the computer for at
least one hour after school. How many students is this?
213. There are 25 students in the music class. 20% of the students play an instrument. How many
students do not play an instrument?
214. There are 400 animals at the farm. 35% of the animals are sheep. How many sheep are on the
farm?
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PMI – 6th Grade
Ratios, Proportions, and Percents Unit
Name:__________________
Date:___________________
215. There are 25 students in Ms. Smith’s class. 20% said they will bring in beverages for the class
dance. How many students will bring beverages?
Using Percents 3
216. What is 140% of 150?
217. What is 220% of 10?
218. What is 175% of 25?
219. What is 130% of 500?
220. What is 400% of 200?
221. What is 330% of 10?
222. What is 150% of 50?
223. What is 450% of 10?
224. What is 225% of 20?
225. What is 110% of 5?
Using Percents 4
226. 60 is 30% of what number?
227. 24 is 48% of what number?
228. 7 is 700% of what number?
229. 36 is 144% of what number?
230. 50 is 25% of what number?
231. 40 is 160% of what number?
232. 9 is 72% of what number?
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PMI – 6th Grade
Ratios, Proportions, and Percents Unit
Name:__________________
Date:___________________
233. 18 is 90% of what number?
234. 20 is 200% of what number?
235. 45 is 180% of what number?
Ratios, Proportions, and Percents Unit Review
Multiple Choice – choose the best answer
1. Which of the following is not the way you write the ratio of a to b?
a. a:b
b.
𝑎
𝑏
c. Ratio of a to b
d. Ratio of b to a
2. For every arm a person has, they have a leg. Which ratio represents this situation?
a. 1: 1
b. 2:2
c. 2 to 2
d. 4 to 4
Use the table at the right to answer questions 3 through 6.
3. What is the ratio of pandas to gorillas at the zoo?
a. 5:2
b. 2:2
c. 2:5
d. 2:15
4. There is one animal for every one of this animal. Which animals are they?
a. Pandas and spider monkeys
b. Pandas and snow leopards
c. Pandas and anteaters
d. Gorillas and anteaters
5. What is the ratio of spider monkeys to anteaters?
a. 1:2
b. 1:3
c. 5:1
d. 1:5
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PMI – 6th Grade
Ratios, Proportions, and Percents Unit
Name:__________________
Date:___________________
6. What is the ratio of snow leopards to all the animals listed in this table?
a. 2:25
b. 2:27
c. 25:2
d. 27:2
7. The following are equivalent to
a.
b.
c.
d.
10
12
except:
5: 6
100: 120
6:5
Ratio of .1 to .12
1
8. Which ratio is not equivalent to 6?
a. 2:12
b. 10:60
c.
5
25
d. 20:120
9. The ratio of boys to girls in the school is 1 to 4. If there are 20 girls, how many boys are there?
a. 5
b. 10
c. 20
d. 80
10. What value is x?
a.
b.
c.
d.
10
14
16
18
11. What value is x?
a.
b.
c.
d.
13
14
15
16
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PMI – 6th Grade
Ratios, Proportions, and Percents Unit
Name:__________________
Date:___________________
12. Cindy drove 975 miles in 15 hours. How many miles per hour did she drive?
a. 15 miles per hour
b. 55 miles per hour
c. 65 miles per hour
d. 975 miles per hour
13. Kevin bought 15 bananas for $4.50. How much does 1 banana cost?
a. $3.33
b. $0.25
c. $0.30
d. $0.35
14. Bill bought 15 oz. of fish for $11.85. How much does the fish cost per ounce?
a. $0.69
b. $0.79
c. $1.45
d. $1.78
15. How many inches are in 4.5 feet?
a. 12 inches
b. 48 inches
c. 54 inches
d. 60 inches
16. If Sandy ran 2 5k races, how many miles did she run? A 5k race is 5km long. 1 mi = 1.6 km
a. 3.1 miles
b. 5 miles
c. 6.3 miles
d. 10 miles
17. Chauncey weighs 52 kg. What is his weight in pounds? 1 lb = 0.45 kg.
a. 23.4 lbs
b. 100 lbs
c. 115.6 lbs
d. 120 lbs
18. What is 30% of 20?
a. 2
b. 4
c. 6
d. 8
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PMI – 6th Grade
Ratios, Proportions, and Percents Unit
Name:__________________
Date:___________________
19. What is 120% of 50?
a. 12
b. 15
c. 50
d. 60
20. 60 is 30% of what number?
a. 18
b. 20
c. 180
d. 200
Short Constructed – write the answer
21. How many feet are in 35 yards?
22. Karen ran 3.5 miles on Wednesday and 2.5 miles on Thursday. How many feet did she run in
total?
23. What is 3 cups and 4 ounces multiplied by 4?
24. What is 2 feet and 5 inches multiplied by 3?
25. What is 3 miles and 4,221 feet divided by 3?
26. What is 2 gallons and 2 quarts multiplied by 2?
Find the equivalent rate.
27.
20 𝑚𝑖
1 𝑚𝑖𝑛
𝑥
28.
$350
1 𝑤𝑒𝑒𝑘
29.
5 𝑠𝑒𝑐𝑜𝑛𝑑𝑠
10 𝑐𝑎𝑛𝑠
=
1 𝑚𝑖𝑛
𝑥
30.
1 𝑚𝑜𝑛𝑡ℎ
15 𝑖𝑛𝑐ℎ𝑒𝑠
=
1 𝑦𝑒𝑎𝑟
𝑥
= 1 ℎ𝑜𝑢𝑟
=
𝑥
1 𝑑𝑎𝑦
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PMI – 6th Grade
Ratios, Proportions, and Percents Unit
Name:__________________
Date:___________________
Change the percent into fraction form.
31. 81%
32. 50%
33. 45%
34. 90%
Change the fraction into percent form.
35.
1
5
36.
7
10
37.
4
25
38.
9
20
Change into percent or decimal.
39. 0.93
40. 52.4%
41. 1.22
42. 0.91%
Extended Constructed Response – answer all parts.
43. Michelle has marbles in a bag. She has 4 pink marbles, 10 blue marbles, 2 clear marbles, 5 green
marbles, and 6 red marbles.
a. What is the ratio of clear marbles to blue marbles?
b. What is the ratio of green marbles to blue marbles?
c. What is the ratio of pink marbles to total marbles?
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PMI – 6th Grade
Ratios, Proportions, and Percents Unit
Name:__________________
Date:___________________
44. George surveyed the sixth grade at his school and found that 40% preferred pizza over
sandwiches as their lunch.
a. 80 students picked pizza, how many students are in the 6th grade?
b. If 160 students picked pizza, then how many students are in the 6th grade?
c. George surveyed the 7th grade and found that 60% preferred pizza over sandwiches. How
many students are in the 7th grade if 120 students picked pizza?
45. Kate went shopping with her mom. She bought a shirt that was on sale for 10% off. She saved
$5.00. What was the original price of the shirt?
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