PMI – 6th Grade Name:__________________ Ratios, Proportions, and Percents Unit Date:___________________ Writing Ratios 1 Classwork Write the ratio in 3 different ways. 1. There are 5 boys to every 3 girl students in the class. _________________________________ 2. There are 2 cats to 1 dog in the animal shelter. ____________________________ 3. There are 3 computers to 1 student in the school. ______________________________ 4. There are 4 desks to 1 student in the school. ______________________________ 5. There are 4 cups to 3 dishes in the kitchen. ______________________________ Write the ratio in simplest form. The table at the right shows how many students voted on their favorite type of movie in Ms. William’s class. 6. What is the ratio of votes of action movies to horror movies? ____________________ 7. What is the ratio of votes of drama movies to romance movies? ____________________ 8. What is the ratio of votes of action movies to drama movies? ____________________ 9. What is the ratio of votes of romance movies to horror movies? ____________________ 10. What is the ratio of votes of horror movies to romance movies? ____________________ Writing Ratios 2 Classwork The students in Ms. Hamill’s class own pets. 10 students have a dog 5 students have a hamster 12 students have a cat 3 students have a bird Compare the different pets that the students in Ms. Hamill’s class own in 4 different ways (describe in words): 11. ____________________________________________________________ 12. ____________________________________________________________ 13. ____________________________________________________________ 14. ____________________________________________________________ 15. What is the ratio of the students that have a hamster to students that have a cat at home?___ NJ Center for Teaching and Learning
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PMI – 6th Grade Name:__________________ Ratios, Proportions, and Percents Unit Date:___________________ Miranda has been collecting stickers. Use the picture at the right to write the following ratios: 16. What is the ratio of to ?__________ 17. What is the ratio of to ?__________ 18. What is the ratio of to the total number of stickers?__________ 19. What is the ratio of to the total number of stickers?__________ 20. What is the ratio of the total number of stickers to ?__________ Equivalent Ratios 1 Classwork Are the following ratios equivalent? Write yes Write an equivalent ratio for each: !
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PMI – 6th Grade Name:__________________ Ratios, Proportions, and Percents Unit Date:___________________ Equivalent Ratios 2 Classwork Use the table at the right to answer the following questions. (There may be more than 1 answer) 31. Which students have a ratio of 1 to 2 stickers?______________________________ 32. Which two ratios are equivalent? ______________________________ 33. Which students have a ratio of 4 to 5 stickers? ______________________________ 34. Which students have a ratio of 2 to 1 stickers?______________________________ 35. If Sandy had three times as many stickers as Susan, how many stickers did Sandy have?_______ 36. What is the cost for 2 hamburgers? ______________________________ 37. What is the cost for 4 hamburgers? ______________________________ 38. What is the ratio of hamburgers to cost? ______________________________ 39. What is the cost of 10 hamburgers? ______________________________ 40. One cheeseburger costs $2.00. Fill out the following table. Equivalent Ratios 3 Classwork 41. The ratio of doors to windows is 1 to 4. Fill in the missing numbers. Door 1 2 3 4 5 Window 4 8 16 42. Mila can run 2 miles for every 3 miles Bob can run. Fill in the table. Mila 2 4 8 10 Bob 3 NJ Center for Teaching and Learning
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PMI – 6th Grade Name:__________________ Ratios, Proportions, and Percents Unit Date:___________________ 43. For every 10 stickers a student collects in Ms. Park’s class, they earn a prize. Fill in the table. Stickers 10 20 30 40 Prize 1 3 44. Oranges costs 10 for $4.00. Fill in the table. Oranges 10 20 30 40 50 Price $8.00 45. A cake recipe calls for 1 cup of milk for every 2 cups of flour. Make a table that shows the amount of flour up to 6 cups of milk. 46. Melinda is making purple paint. She needs to mix 2 parts red to 3 parts blue to get the purple shade she wants. Fill in the chart with the possible amounts she can make. Fill in the correct values for the following tables. 47. 1 2 3 4 5 6 7 8 2 4 6 10 14 48. 4 8 12 16 20 24 6 12 49. 2 4 6 8 10 10 20 40 50. 1 3 5 7 9 11 $3.00 $15.00 Rates and Unit Rates 1 Classwork Find the unit rate. 51. $60.00 in 5 hours NJ Center for Teaching and Learning
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PMI – 6th Grade Name:__________________ Ratios, Proportions, and Percents Unit Date:___________________ 52. 30 students per 2 teachers 53. $2.97 for 3 rolls of paper towels 54. 1275 computers for 425 students 55. 60 cans for 30 days 56. 35 meals for 5 days 57. 300 miles in 6 hours 58. $700 in 5 days 59. 300 feet in 20 minutes 60. 40 pages in 20 minutes Rates and Unit Rates 2 Classwork 61. Ice cream is on sale at the store. You can buy 3 pints for $4.50. How much does one pint cost? 62. Michelle bought 4 packs of soda for $10.00. How much did one pack cost? 63. Bert bought 5 packs of butter for $9.95. How much was one pack? 64. Sandra ran 4 miles in 60 minutes. How long did each mile take her? 65. Mike can drive 345 miles on 15 gallons of gas. How many miles per gallon does his car get? Rates and Unit Rates 3 Classwork 66. Michelle is at the bakery buying donuts. She can buy 3 donuts for $2.25, 5 donuts for $3.25, or a dozen donuts for $7.68. Which is the best deal per donut? 67. An 8 oz. soda can costs $0.96, a 12 oz. soda can costs $0.72, and a 32 oz. cup of soda costs $2.24. Which is the lowest cost per ounce? NJ Center for Teaching and Learning
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PMI – 6th Grade Name:__________________ Ratios, Proportions, and Percents Unit Date:___________________ 68. Melody makes $385 for working 7 days, Mike makes $225 for working 5 days, and Chelsea makes $180 for working 3 days. Who makes the least per day? 69. Vika can run a mile in 15 minutes, Sandy can run 3 miles in 30 minutes, and Hyun can run 4 miles in 28 minutes. Who can run the fastest mile? 70. Mel can drive 384 miles on 24 gallons of gas. Michael can drive 490 miles on 35 gallons of gas. Sheldon can drive 420 miles on 14 gallons of gas, and Kristina can drive 272 miles on 16 gallons of gas. Whose car has the best gas mileage? Using Ratios to Convert Measurements 1 Classwork 71. 36 inches = ___ feet 72. 24 feet = ___ yards 73. ____ inches = 4 feet 74. 21,120 feet = ______ yards 75. 52,800 feet = ______ miles 76. 36 inches = ___ yards 77. 144 feet = ___ yards 78. 7,040 yards = ____ miles 79. 144 inches = ___ yards 80. ______________ feet = 5 miles 81. Henry needed 3.5 feet of yarn for a school project. What is this length in inches? 82. Kelsi’s room measures 12 feet by 13 feet. What are the dimensions in inches? NJ Center for Teaching and Learning
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PMI – 6th Grade Name:__________________ Ratios, Proportions, and Percents Unit Date:___________________ 83. Michelle lives 2.5 miles from school. What is this distance in feet? 84. Carol ran 3 miles each day for a full week. What is the total distance she ran in yards? 85. Katarina’s property measures 3,300 feet around. What is this distance in yards? Using Ratios to Convert Measurements 2 Classwork 86. 3 in = ______ cm 87. 4.5 ft = _____ m 88. _____ gal = 18.95 l 89. 0.5 ft = ____ m 90. _____ ft = 3 m 91. ____ mi = 3.2 km 92. 6 mi = _____ km 93. 3 gal = _____ l 94. ___ in = 15.24 cm 95. ____ mi = 8 km 96. Mira had 5 inches of ribbon. How long is this in cm? 97. Kaitlyn ran 2.5 miles. What is this distance in km? NJ Center for Teaching and Learning
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PMI – 6th Grade Name:__________________ Ratios, Proportions, and Percents Unit Date:___________________ 98. Matt weighs 65 kg. What is his weight in lb? 99. Laura’s living room ceilings are 13 feet high. What is this height in m? 100. Timmy walked 6.4 km. How far did he walk, in mi? Using Ratios to Convert Measurements 3 Classwork 101. Miles has a bag of peanuts that weighs 64 oz. How many lbs of peanuts does he have? 102. A medium size car weighs 1 ton. How many lbs do 3 cars weigh? 103. Michelle has 8 pints of milk. How many quarts of milk does she have? 104. Kelly has 3.5 kg of sugar. How many grams of sugar does she have? 105. Peter needs 8 cups of water for his drink mix. How many pints is this? 106. What is 2 pints and 4 cups multiplied by 2? 107. What is 1 metric ton and 500 kg multiplied by 4? 108. What is 4 lb and 8 oz multiplied by 3? NJ Center for Teaching and Learning
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PMI – 6th Grade Name:__________________ Ratios, Proportions, and Percents Unit Date:___________________ 109. What is 50 lb and 20 oz divided by 5? 110. What is 10 meters and 100 cm divided by 10? Converting Unit Ratios 1 Classwork Write the conversion factor that you would multiply to the left unit to convert to the unit on the right. 111. 10 miles à feet 112. 2000 yards à miles 113. 12 inches à feet 114. 2 days à hours 115. 45 minutes à seconds 116. 20 lbs à ounces 117. 3 hours à minutes 118. 20 seconds à minutes 119.
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PMI – 6th Grade Name:__________________ Ratios, Proportions, and Percents Unit Date:___________________ Classwork Find the equivalent rate. 126.
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Converting Unit Ratios 3 Classwork Find the equivalent rate using a conversion factor. 136. Kylie can make 4 friendship bracelets in 1 hour. How many can she make if she made them for 1 day? 137. Fred makes $750 a week (working 5 days). How much does he make in one day? 138. A snail can crawl 1 inch per minute. How many inches can it travel in one hour? NJ Center for Teaching and Learning
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PMI – 6th Grade Name:__________________ Ratios, Proportions, and Percents Unit Date:___________________ 139. A plant grows 1 inch per day. How many inches can it grow in one month? (Use 30 days for a month.) 140. A bag fills with sand at 1 oz every 12 minutes. How much will it have been filled after 1 hour Percents and Fractions 1 Classwork What percent is shaded? Write in percent and fraction form (simplified). 141. _________________________ 142. _________________________ 143. _________________________ NJ Center for Teaching and Learning
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PMI – 6th Grade Name:__________________ Ratios, Proportions, and Percents Unit Date:___________________ 144. _________________________ 145. _________________________ Shade in the correct percentage. 146. 45% 147. 50% NJ Center for Teaching and Learning
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PMI – 6th Grade Name:__________________ Ratios, Proportions, and Percents Unit Date:___________________ 148. 22% 149. 90% 150. 14% Percents and Fractions 2 Classwork Find the percent the fraction equals. !
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PMI – 6th Grade Name:__________________ Ratios, Proportions, and Percents Unit Date:___________________ !
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PMI – 6th Grade Name:__________________ Ratios, Proportions, and Percents Unit Date:___________________ 168. 77% 169. 10% 170. 45% Percents & Decimals 1 Classwork Change the decimal into a percent. 171. 0.08 172. 0.78 173. 1.12 174. 3.5 175. 0.99 176. 0.1 177. 2.45 178. 1.01 179. 0.98 180. 0.42 181. 5.67 182. 0.05 183. 0.11 184. 0.024 185. 0.091 NJ Center for Teaching and Learning
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PMI – 6th Grade Name:__________________ Ratios, Proportions, and Percents Unit Date:___________________ Percents & Decimals 2 Classwork Change the percent into a decimal.
186. 89% 187. 65% 188. 74% 189. 51.4% 190. 0.72% 191. 600% 192. 125% 193. 1.25% 194. 312% 195. 55% 196. 41.2% 197. 99.1% 198. 100.1% 199. 82.4% 200. 61% Using Percents 1 Classwork Set up a proportion to find the answer. 201. What is 20% of 5? 202. What is 25% of 10? 203. What is 70% of 25? 204. What is 38% of 50? NJ Center for Teaching and Learning
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PMI – 6th Grade Name:__________________ Ratios, Proportions, and Percents Unit Date:___________________ 205. What is 45% of 20? 206. What is 10% of 5? 207. What is 55% of 100? 208. What is 35% of 50? 209. What is 36% of 25? 210. What is 48% of 50? Using Percents 2 Classwork 211. Lewis surveyed 200 people to find out how many of them exercised. He found that 30% did exercise. How many people exercise from Lewis’s survey? 212. Carol’s breakfast consisted of 300 calories. She calculated 25% of these calories came from protein. How many calories of her breakfast were from protein? 213. There are 300 students in the 6th grade. 45% of the students are girls. How many girl students are in the 6th grade? 214. Susan has 80 stickers. 25% of the stickers are holographic. How many are not holographic? NJ Center for Teaching and Learning
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PMI – 6th Grade Name:__________________ Ratios, Proportions, and Percents Unit Date:___________________ 215. Milo has 800 jelly beans. He said he will give 45% to his sister. How many jellybeans will his sister get? Using Percents 3 Classwork 216. What is 150% of 20? 217. What is 300% of 110? 218. What is 210% of 25? 219. What is 150% of 10? 220. What is 175% of 50? 221. What is 110% of 10? 222. What is 130% of 200? 223. What is 117% of 360? 224. What is 200% of 10? 225. What is 132% of 210? Using Percents 4 Classwork 226. 20 is 40% of what number? 227. 15 is 60% of what number? 228. 16 is 32% of what number? 229. 43 Is 86% of what number? 230. 50 is 25% of what number? 231. 8 is 40% of what number? 232. 12 is 120% of what number? 233. 4 is 60% of what number? 234. 5 is 100% of what number? 235. 10 is 140% of what number? NJ Center for Teaching and Learning
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PMI – 6th Grade Name:__________________ Ratios, Proportions, and Percents Unit Date:___________________ 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.
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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 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 NJ Center for Teaching and Learning
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PMI – 6th Grade Name:__________________ Ratios, Proportions, and Percents Unit Date:___________________ !"
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PMI – 6th Grade Name:__________________ Ratios, Proportions, and Percents Unit Date:___________________ 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 19. What is 120% of 50? a. 12 b. 15 c. 50 NJ Center for Teaching and Learning
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PMI – 6th Grade Name:__________________ Ratios, Proportions, and Percents Unit Date:___________________ 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.
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PMI – 6th Grade Name:__________________ Ratios, Proportions, and Percents Unit Date:___________________ 33. 45% 34. 90% Change the fraction into percent form. !
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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? 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? NJ Center for Teaching and Learning
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PMI – 6th Grade Name:__________________ Ratios, Proportions, and Percents Unit Date:___________________ 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? NJ Center for Teaching and Learning
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