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PMI – 6th Grade Name:__________________Ratios, Proportions, and Percents Unit Date:___________________

Writing Ratios 1Classwork

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? ____________________

HomeworkWrite the ratio in 3 different ways.

11. There are 3 girls to 7 boys in band. ______________________________12. There are 3 hamsters to 2 gerbils at the pet store. ______________________________13. There are 23 students to 1 teacher at the school. ______________________________14. There are 4 pants to 3 dresses at the clothing store. ______________________________15. 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.

16. What is the ratio of votes of chocolate to vanilla ice cream? ____________________17. What is the ratio of votes of strawberry to cookies and cream ice cream? ___________________18. What is the ratio of votes of cookies and cream to chocolate ice cream? ____________________19. What is the ratio of votes of vanilla to cookies and cream ice cream? ____________________20. What is the ratio of votes of chocolate to strawberry ice cream? ____________________

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Writing Ratios 2Classwork

Compare the different pets that the students in Ms. Hamill’s class own in 4 different ways (describe in words):

21. ____________________________________________________________22. ____________________________________________________________23. ____________________________________________________________24. ____________________________________________________________25. What is the ratio of the students that have a hamster to students that have a cat at home?___

Miranda has been collecting stickers. Use the picture at the right to write the following ratios:

26. What is the ratio of to ?__________

27. What is the ratio of to ?__________

28. What is the ratio of to the total number of stickers?__________

29. What is the ratio of to the total number of stickers?__________

30. What is the ratio of the total number of stickers to ?__________

Homework


The students in Ms. Hamill’s class own pets.10 students have a dog

5 students have a hamster12 students have a cat3 students have a bird

The students in Mr. Patel’s class play instruments.8 students play the trumpet2 students play the clarinet4 students play the piano1 student plays the violin


Compare the different instruments that the students in Mr. Patel’s class play in 4 different ways (describe in words):

31. ____________________________________________________________32. ____________________________________________________________33. ____________________________________________________________34. ____________________________________________________________35. 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.

36. What is the ratio of clown fish to angelfish?_________37. What is the ratio of anemones to snails? _________38. What is the ratio of crabs to all animals in the tank? _________39. What is the ratio of crabs to anemones? _________40. What is the ratio of snails to all animals in the tank? _________

Equivalent Ratios 1Classwork

Are the following ratios equivalent? Write yes or no.

41. 12and

23 _________

42. 12and

36 _________

43. 13and

1236 _________

44. 56and

1012 _________

45. 23and

49 _________

Write an equivalent ratio for each:

46. 29= _________

47. 34 =_________

48. 1030=_________

49. 49 =_________

50. 37=_________



Homework

Are the following ratios equivalent? Write yes or no.

51. 13and

24 _________

52. 36and

48 _________

53. 19and

328 _________

54. 47 and

814 _________

55. 23and

46 _________

Write an equivalent ratio for each:

56. 2030= _________

57. 75100=_________

58. 1014=_________

59. 56=_________

60. 210=_________

Equivalent Ratios 2ClassworkUse the table at the right to answer the following questions. (There may be more than 1 answer)

61. Which students have a ratio of 1 to 2 stickers?______________________________62. Which two ratios are equivalent? ______________________________63. Which students have a ratio of 4 to 5 stickers? ______________________________64. Which students have a ratio of 2 to 1 stickers?______________________________65. If Sandy had three times as many stickers as Susan, how many stickers did Sandy have?_______

66. What is the cost for 2 hamburgers? ______________________________67. What is the cost for 4 hamburgers? ______________________________68. What is the ratio of hamburgers to cost? ______________________________



69. What is the cost of 10 hamburgers? ______________________________70. One cheeseburger costs $2.00. Fill out the following table.

HomeworkMr. 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

71. Which ratio of animals is 1 to 2? ______________________________72. Which animal had 3 times the number of rabbits? ______________________________73. Which two ratios are equivalent? ______________________________74. If there were four times as many ducks as rabbits, how many ducks were at the petting zoo?

______________________________75. Which ratio is 4 to 1? ______________________________

Use the table at the right to answer the following questions.76. How much does 1 gallon of gas cost?77. How much does 4 gallons of gas cost?78. What is the cost to gallon ratio?79. If Phillip’s car needs 18 gallons to fill up, how much will that cost?80. The cost of diesel fuel is $4.15 per gallon (more expensive than

regular gas). Fill in the table using this information.


81. The ratio of doors to windows is 1 to 4. Fill in the missing numbers.Door 1 2 3 4 5Window 4 8 16

82. Mila can run 2 miles for every 3 miles Bob can run. Fill in the table.



Mila 2 4 8 10Bob 3

83. For every 10 stickers a student collects in Ms. Park’s class, they earn a prize. Fill in the table.Stickers 10 20 30 40Prize 1 3

84. Oranges costs 10 for $4.00. Fill in the table.Oranges 10 20 30 40 50Price $8.00

85. 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.

86. 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.87.

1 2 3 4 5 6 7 82 4 6 10 14

88. 4 8 12 16 20 246 12

89. 2 4 6 8 1010 20 40

90. 1 3 5 7 9 11$3.00 $15.00

Homework



91. The ratio of insects to arachnids is 8 to 5 at the museum. Fill in the table.Insects 8 16 24 32 40 48 56Arachnids 5 10

92. James can run 3 miles for every 1.5 mile Carrie can run. Fill in the table.James 3 4 5 6 7Carrie 1.5 2.5 3

93. For every 1 latte the café sells, they sell 3 cappuccinos. Latte 1 2 3 4Cappuccino 3 12

94. Apples cost $5.00 for every 2 lbs.Cost $5.00 $10.00 $15.00Lbs. 2

95. For every 3 stickers that Cassie earns, Michael earns 4. Fill in the table.Cassie 3 6 9 12 15 18Michael 4 8

96. A recipe calls for 1 cup of sugar for every 2 cups of flour. Make a table showing the possible combinations.

97. 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.98.

10 20 30 40 50 6030 60

99. 2 3 4 5 6$1.00 $1.50

100. 1 2 3 4 5 615 45



Rates and Unit Rates 1Classwork

Find the unit rate.101. $60.00 in 5 hours

102. 30 students per 2 teachers

103. $2.97 for 3 rolls of paper towels

104. 1275 computers for 425 students

105. 60 cans for 30 days

106. 35 meals for 5 days

107. 300 miles in 6 hours

108. $700 in 5 days

109. 300 feet in 20 minutes

110. 40 pages in 20 minutes

Homework111. $72.00 in 12 hours

112. 120 students per 40 teachers

113. 8 slices per 2 people

114. 990 miles per 30 gallons of gas

115. 60 votes per 10 hours

116. 24 rolls of toilet paper for $16.00

117. 1500 km in 3 hours

118. 42 feet in 6 minutes



119. 45 bags in 5 minutes

120. $9.45 in 3 hours


121. Ice cream is on sale at the store. You can buy 3 pints for $4.50. How much does one pint cost?

122. Michelle bought 4 packs of soda for $10.00. How much did one pack cost?

123. Bert bought 5 packs of butter for $9.95. How much was one pack?

124. Sandra ran 4 miles in 60 minutes. How long did each mile take her?

125. Mike can drive 345 miles on 15 gallons of gas. How many miles per gallon does his car get?

Homework

126. Matt bought 3 cantaloupes for $2.07. How much does one cantaloupe cost?

127. Sarah traveled 330 miles in 6 hours. How fast was she traveling?

128. Melinda bought 16 oz. of blueberries for $9.44. How much did it cost per ounce?

129. There are 1144 chairs in the school and 286 students. How many chairs are there per student?

130. Michelle bought 8 heads of lettuce for $7.92. How much did each head of lettuce cost?


131. 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?

132. 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?



133. 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?

134. 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?

135. 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?

Homework

136. 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?

137. 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?

138. 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?

139. 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?



140. 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 1Classwork

141. 36 inches = ___ feet

142. 24 feet = ___ yards

143. ____ inches = 4 feet

144. 21,120 feet = ______ yards

145. 52,800 feet = ______ miles

146. 36 inches = ___ yards

147. 144 feet = ___ yards

148. 7,040 yards = ____ miles


150. ______________ feet = 5 miles

151. Henry needed 3.5 feet of yarn for a school project. What is this length in inches?

152. Kelsi’s room measures 12 feet by 13 feet. What are the dimensions in inches?

153. Michelle lives 2.5 miles from school. What is this distance in feet?

154. Carol ran 3 miles each day for a full week. What is the total distance she ran in yards?



155. Katarina’s property measures 3,300 feet around. What is this distance in yards?

Homework156. ___ inches = 5 feet

157. ___ feet = 24 yards

158. 96 inches = ____ feet

159. 10,560 feet = __________ yards

160. _____ feet = 3.5 miles


162. 513 feet = ___ yards

163. ________yards = 4.5 miles


165. ___________ feet = 7 miles

166. Catherine needs four pieces of ribbon that are 24 inches long. How many feet is this in total?

167. Carla’s room measures 9.5 feet by 11.5 feet. What are the dimensions in inches?

168. Robert lives 4 miles from school. What is this distance in feet?

169. 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?



170. 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?


171. 3 in = ______ cm

172. 4.5 ft = _____ m

173. _____ gal = 18.95 l

174. 0.5 ft = ____ m

175. _____ ft = 3 m

176. ____ mi = 3.2 km

177. 6 mi = _____ km

178. 3 gal = _____ l

179. ___ in = 15.24 cm

180. ____ mi = 8 km

181. Mira had 5 inches of ribbon. How long is this in cm?

182. Kaitlyn ran 2.5 miles. What is this distance in km?

183. Matt weighs 65 kg. What is his weight in lb?

184. Laura’s living room ceilings are 13 feet high. What is this height in m?



185. Timmy walked 6.4 km. How far did he walk, in mi?

Homework186. 1.5 in = _____ cm

187. 5 lb = _____ kg

188. ___ lb = 4 kg

189. 2 mi = _____ km

190. 3.5 ft = ____ m

191. ____ mi = 11.62 km

192. 2.5 lb = _____ kg

193. ____ ft = 1.2 m

194. _____ in = 30.48 cm

195. ____ gal = 2.54 l

196. Karen’s mail box is 30 feet from her front door. What is this distance in meters?

197. Sasha got a 10 lb bag of oranges. What is this weight in kg?

198. Fred filled up a kiddie pool that held 30 gallons of water. What is this amount in liters?

199. Paul lives 3.2 km away from school. What is this distance in miles?



200. Craig can jump 4 feet in the air. How high does he jump, in meters?


201. Miles has a bag of peanuts that weighs 64 oz. How many lbs of peanuts does he have?

202. A medium size car weighs 1 ton. How many lbs do 3 cars weigh?

203. Michelle has 8 pints of milk. How many quarts of milk does she have?

204. Kelly has 3.5 kg of sugar. How many grams of sugar does she have?

205. Peter needs 8 cups of water for his drink mix. How many pints is this?

206. What is 2 pints and 4 cups multiplied by 2?

207. What is 1 metric ton and 500 kg multiplied by 4?

208. What is 4 lb and 8 oz multiplied by 3?

209. What is 50 lb and 20 oz divided by 5?



210. What is 10 meters and 100 cm divided by 10?

Homework

211. A cake recipe calls for 12 cups of sugar at a bakery. How many pints is this?

212. A rhino weighs 1.5 tons. How many lbs do 4 rhinos weigh?

213. Sandy has 1 quart and 1 pint of soda. How many cups can she divide this amount into?

214. A baby weighs 9 lb and 2 oz. What is the baby’s weight in ounces?

215. Sonya drove 25 km to her friend’s house. What is this distance in meters?

216. What is 3 kg and 500 g multiplied by 3?

217. What is 10 km and 90 m divided by 5?

218. What is 3 cups and 9 oz multiplied by 4?

219. What is 100 km and 60 m multiplied by 10?

220. What is 24 lb and 5 oz multiplied by 4?



Converting Unit Ratios 1ClassworkWrite the conversion factor that you would multiply to the left unit to convert to the unit on the right.

221. 10 miles feet

222. 2000 yards miles

223. 12 inches feet

224. 2 days hours

225. 45 minutes seconds

226. 20 lbs ounces

227. 3 hours minutes

228. 20 seconds minutes

229. 20miles1min

= xmiles1hour

230. 212 feet1 year

= x inches1month

231. $ 90.001day

= x dollars1week

232. 20 sec100miles

= 1minx miles

233. 10 feet3hours

= x incheshour

234. 10 yardshour

= x feethour

235. $16.001lb

= x dollarsounce



HomeworkWrite the conversion factor that you would multiply to the left unit to convert to the unit on the right.

236. 15 feet miles

237. 1.5 feet inches

238. 240 seconds minutes

239. 7 days hours

240. 32 oz pounds

241. 34 weeks days

242. 36 months year

243. 5 cups ounces

244. $20,0001 year

= $dollars1month

245. $3.001lb

= $dollars1ounce

246. 50miles1hour

= xmilesminute

247. 30 seconds30miles

= 1minx miles

248. 50 feet2hours

= x inches1hour

249. 1day$100

= 1month$dollars

250. 4 feet1 second

= x feet1hour

Converting Unit Ratios 2ClassworkFind the equivalent rate.

251. 10inches1 year

= x inches1month



252. $802hours

= xdollars1minute

253. 10 feet5 seconds

= x feet1minute

254. 10 people1hour

= x people1day

255. $10.001hour

= x dollars1minute

256. 3km1hour

= x km1day

257. $7351week

= x dollars1day

258. 10meters1 sec

= x meters1minute

259. 15cans1hour

= xcans1day

260. 3miles1day

= xmiles1week

Homework

261. $10001month

= x dollars1 year

262. 1000 feet2 seconds

= x feet1minute

263. 12 feet2hours

= x inches1hour

264. $1,4002weeks

= xdollars1week

265. 20 sec2miles

= 1minxmiles



266. 4 inches2days

= x feet1day

267. 6months10 feet

=1 yearx feet

268. $102hour

= x dollars1day

269. 4months3 inches

= 1 yearx inches

270. 1day$50

= 1weekx dollars

Converting Unit Ratios 3Classwork

Find the equivalent rate using a conversion factor.

271. Kylie can make 4 friendship bracelets in 1 hour. How many can she make if she made them for 1 day?

272. Fred makes $750 a week (working 5 days). How much does he make in one day?

273. A snail can crawl 1 inch per minute. How many inches can it travel in one hour?

274. A plant grows 1 inch per day. How many inches can it grow in one month? (Use 30 days for a month.)

275. A bag fills with sand at 1 oz every 12 minutes. How much will it have been filled after 1 hour?



HomeworkFind the equivalent rate using a conversion factor.

276. A machine can make 30 yards of ribbon in one minute. How many yards of ribbon can it make in one hour?

277. Linda makes $840.00 in one week. How much money does she make in one day?

278. A boat can take 30 people around Manhattan in one hour. How many people will it carry in one day?

279. Sarah can type 75 words per minute. How many words can she type in one hour?

280. 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 1Classwork

What percent is shaded? Write in percent and fraction form (simplified).

281. _________________________



282. _________________________

283. _________________________

284. _________________________

285. _________________________



Shade in the correct percentage.

286. 45%

287. 50%

288. 22%

289. 90%



290. 14%

Homework291. _________________________

292. _________________________

293. _________________________



294. _________________________

295. _________________________

Shade in the correct percentage.

296. 15%

297. 99%



298. 75%

299. 46%

300. 11%

Percents and Fractions 2ClassworkFind the percent the fraction equals.

301. 15=¿



302. 12=¿

303. 14=¿

304. 25=¿

305. 35=¿

306. 45=¿

307. 125

=¿

308. 250

=¿

309. 325

=¿

310. 410

=¿

Homework

Find the percent the fraction equals.

311. 610

=¿

312. 725

=¿

313. 34=¿

314. 925

=¿

315. 150

=¿

316. 310

=¿

317. 45=¿

318. 650

=¿

319. 34100

=¿

320. 910

=¿

Percents and Fractions 3ClassworkWrite the fraction in simplified form.

321. 99%

322. 20%

323. 75%

324. 700%

325. 2%



326. 15%

327. 4%

328. 77%

329. 10%

330. 45%

Homework331. 5%

332. 61%

333. 99%

334. 100%

335. 95%

336. 67%

337. 40%

338. 62%

339. 32%

340. 76%

Percents & Decimals 1ClassworkChange the decimal into a percent.

341. 0.08

342. 0.78

343. 1.12

344. 3.5

345. 0.99

346. 0.1

347. 2.45

348. 1.01

349. 0.98

350. 0.42

351. 5.67



352. 0.05

353. 0.11

354. 0.024

355. 0.091

Homework356. 0.09

357. 0.6

358. 8.9

359. 0.991

360. 1.2

361. 0.77

362. 0.789

363. 1.05

364. 0.45

365. 0.66

366. 0.85

367. 1.33

368. 2.221

369. 0.98

370. 1.65

Percents & Decimals 2ClassworkChange the percent into a decimal.

371. 89%

372. 65%

373. 74%

374. 51.4%

375. 0.72%

376. 600%

377. 125%

378. 1.25%

379. 312%

380. 55%



381. 41.2%

382. 99.1%

383. 100.1%

384. 82.4%

385. 61%

Homework

386. 2%

387. 1%

388. 10%

389. 21%

390. 313%

391. 0.09%

392. 0.0001%

393. 24.5%

394. 56.2%

395. 78.9%

396. 90%

397. 101%

398. 81%

399. 0.07%

400. 0.019%

Using Percents 1ClassworkSet up a proportion to find the answer.

401. What is 20% of 5?

402. What is 25% of 10?

403. What is 70% of 25?

404. What is 38% of 50?

405. What is 45% of 20?

406. What is 10% of 5?

407. What is 55% of 100?

408. What is 35% of 50?

409. What is 36% of 25?

410. What is 48% of 50?



Homework411. What is 28% of 25?

412. What is 12% of 200?

413. What is 50% of 50?

414. What is 80% of 50?

415. What is 92% of 50?

416. What is 16% of 25?

417. What is 20% of 20?

418. What is 35% of 25?

419. What is 30% of 100?

420. What is 40% of 25?

Using Percents 2Classwork

421. 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?

422. 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?

423. There are 300 students in the 6th grade. 45% of the students are girls. How many girl students are in the 6th grade?



424. Susan has 80 stickers. 25% of the stickers are holographic. How many are not holographic?

425. Milo has 800 jelly beans. He said he will give 45% to his sister. How many jellybeans will his sister get?

Homework

426. 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?

427. 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?

428. There are 25 students in the music class. 20% of the students play an instrument. How many students do not play an instrument?

429. There are 400 animals at the farm. 35% of the animals are sheep. How many sheep are on the farm?

430. 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?




431. What is 150% of 20?

432. What is 300% of 110?

433. What is 210% of 25?

434. What is 150% of 10?

435. What is 175% of 50?

436. What is 110% of 10?

437. What is 130% of 200?

438. What is 117% of 360?

439. What is 200% of 10?

440. What is 132% of 210?

Homework441. What is 140% of 150?

442. What is 220% of 10?

443. What is 175% of 25?

444. What is 130% of 500?

445. What is 400% of 200?

446. What is 330% of 10?

447. What is 150% of 50?

448. What is 450% of 10?

449. What is 225% of 20?

450. What is 110% of 5?

Using Percents 4



Classwork451. 20 is 40% of what number?

452. 15 is 60% of what number?


454. 43 Is 86% of what number?







Homework461. 60 is 30% 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.ab

c. Ratio of a to bd. Ratio of b to a

2. For every arm a person has, they have a leg. Which ratio represents this situation?a. 1: 1b. 2:2c. 2 to 2d. 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. 5:2b. 2:2c. 2:5d. 2:15

4. There is one animal for every one of this animal. Which animals are they?a. Pandas and spider monkeysb. Pandas and snow leopardsc. Pandas and anteatersd. Gorillas and anteaters

5. What is the ratio of spider monkeys to anteaters?a. 1:2b. 1:3c. 5:1d. 1:5

6. What is the ratio of snow leopards to all the animals listed in this table?a. 2:25b. 2:27c. 25:2d. 27:2

7. The following are equivalent to 1012 except:

a. 5: 6



b. 100: 120c. 6:5d. Ratio of .1 to .12

8. Which ratio is not equivalent to 16?

a. 2:12b. 10:60

c.525

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. 5b. 10c. 20d. 80

10. What value is x?

a. 10b. 14c. 16d. 18

11. What value is x?

a. 13b. 14c. 15d. 16

12. Cindy drove 975 miles in 15 hours. How many miles per hour did she drive?a. 15 miles per hourb. 55 miles per hourc. 65 miles per hourd. 975 miles per hour



13. Kevin bought 15 bananas for $4.50. How much does 1 banana cost?a. $3.33b. $0.25c. $0.30d. $0.35

14. Bill bought 15 oz. of fish for $11.85. How much does the fish cost per ounce?a. $0.69b. $0.79c. $1.45d. $1.78

15. How many inches are in 4.5 feet?a. 12 inchesb. 48 inchesc. 54 inchesd. 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 kma. 3.1 milesb. 5 milesc. 6.3 milesd. 10 miles

17. Chauncey weighs 52 kg. What is his weight in pounds? 1 lb = 0.45 kg.a. 23.4 lbsb. 100 lbsc. 115.6 lbsd. 120 lbs

18. What is 30% of 20?a. 2b. 4c. 6d. 8

19. What is 120% of 50?a. 12b. 15c. 50d. 60



20. 60 is 30% of what number?a. 18b. 20c. 180d. 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.

27.20mi1min

= x1hour

28.$3501week

= x1day

29.5 seconds10cans

=1minx

30.1month15inches

=1 yearx

Change the percent into fraction form.

31. 81%

32. 50%



33. 45%

34. 90%

Change the fraction into percent form.

35.15

36.710

37.425

38.920

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 6 th 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?

Answer Key:Writing Ratios 1Classwork

1. 5 to 3, 5:3, 53

2. 2 to 1, 2:1, 21

3. 3 to 1, 3:1, 31



4. 4 to 1, 4:1, 41

5. 4 to 3, 4:3, 43

6.53

7.53

8.21

9.12

10.21

Homework

11. 3 to 7, 3:7, 37

12. 3 to 2, 3:2, 32

13. 23 to 1, 23:1, 231

14. 4 to 3, 4:3, 43

15. 4 to 1, 4:1, 41

16.85

17.21

18.12

19.54

20. 1Writing Ratios 2Classwork

21. Ten out of thirty students have a dog.22. Five out of thirty students have a

hamster.23. Twelve out of thirty students have a cat.24. Three out of thirty students have a bird.

25.512

26.52

27.12

28.511

29.211

30.114

Homework31. Eight out of fifteen students play the

trumpet.32. Two out of fifteen students play the

clarinet.33. Four out of fifteen students play the

piano.34. One out of fifteen students play the

violin.

35. 48

36. 3:237. 3:838. 1:839. 140. 1:3


41. no42. yes43. yes44. yes45. no

46. ex. 418

47. ex. 912

48. ex. 13

49. ex. 1636

50. ex. 1228

Homework51. no52. no53. yes54. yes



55. yes

56. ex.23

57. ex.34

58. ex.57

59. ex.1012

60. ex.15


61. Susan to Joan and Billy to Caleb62. Susan to Joan and Billy to Caleb63. Billy to Joan64. Joan to Susan or Caleb to Billy65. 15 stickers66. $3.0067. $6.0068. 1:1.569. $10.5070. 1: $2.00

2: $4:003: $6.004: $8.00

Homework71. Rabbits to Sheep or Sheep to Goat72. Pigs73. Rabbits to Sheep or Sheep to Goat74. 2075. Rabbits to Goat76. $2.4077. $9.6078. 1:2.479. $43.2080. 1: $4.15

2: $8.303: $12.454: $16.60


81. 3: 165: 64

82. 4:6

8:1210:15

83. 20:240:4

84. 10: $4.0030: $12.0040: $16.0050: $20.00

85.Flour 2 4 6 8 10 12Milk 1 2 3 4 5 6

86.Red 4 6 8 10 12 14Blue 6 9 12 15 18 21

87. 4:8 6:12 8:1688. 12:18

16:2420:3024:36

89. 6:3010:50

90. 3: $9.007: $21.009: $27.0011: $33.00

Homework91. 24:15

32:2040:2548:3056:35

92. 4:27:3.5

93. 2:63:9

94. $10.00:4$15.00:6



95. 9:1212:1615:2018:24

96.Flour 2 4 6 8 10Sugar 1 2 3 4 5

97.Blue 1 2 3 4 5Yellow 3 6 9 12 15

98. 30:9040:12050:15060:180

99. 4:$2.005:$2.506:$3.00

100. 2:304:605:756:90


101. 12 dollars in one hour.102. 15 students per teacher103. $0.99 for 1 roll of paper towels104. 3 computers per student105. 2 cans per day106. 7 meals per day107. 50 miles per hour108. $140 per day109. 15 feet a minute110. 2 pages a minute

Homework111. $6.00 an hour112. 3 students a teacher113. 4 slices a person114. 33 miles per gallon of gas115. 6 votes an hour116. 1.5 rolls of toilet paper a dollar117. 500 km an hour118. 7 feet a minute119. 9 bags a minute

120. $3.50 per hourRates and Unit Rates 2Classwork

121. $1.50122. $2.50123. $1.99124. 15 minutes125. 23 miles

Homework126. $0.69127. 55 mph128. $0.59129. 4130. $0.99


131. A dozen donuts for $7.68132. 12 oz. soda for $0.72133. Mike134. Hyun135. Mel

Homework136. 12 rolls for $10.80137. 24 oz. 138. the one that serves 2 and costs

$4.50139. Mick140. Krista


141. 3142. 8143. 48144. 7,040145. 10146. 1147. 48148. 4149. 48150. 26,400151. 514.5152. 144 in. by 156 in.153. 13,200 ft.154. 5,280 yrd155. 1,100 yrd

Homework



156. 60157. 72158. 8159. 3,520160. 18,480161. 4162. 171163. 7,920164. 2.02165. 36,960166. 2167. 144 in by 138 in168. 21,120 ft169. 23,760 ft170. 6 mi


171. 7.62172. 1.35173. 18.95174. .15175. 10176. 2177. 9.6178. 11.37179. 6180. 5181. 12.7182. 4183. 144.44184. 3.9185. 4

Homework186. 3.81187. 2.25188. 8.89189. 3.2190. 1.05191. 7.26192. 1.13193. 4194. 12195. .67196. 10197. 4.5

198. 113.7199. 2200. .9


201. 4202. 6,000203. 4204. 3,500205. 4206. 4 pints and 8 cups,

or 4 quarts207. 4 metric tons and 2,000

kg, or 6 metric tons208. 12 lb and 24 oz,

or 5 lb and 8 oz209. 10 lb and 4 oz210. 1 m and 10 cm

Homework211. 6212. 12,000213. 6214. 146215. 25,000216. 9kg and 1,500 g,

or 10 kg and 500 g217. 2 km and 18 m218. 12 cups and 36 oz,

or 16 cups and 4 oz219. 1,000 km and 600 m, 220. 96 lb and 20 oz,

or 97 lb and 4 ozConverting Unit Ratios 1Classwork

221. 5,280222. .0005682223. .0833224. 24225. 60226. 16227. 60228. .0167229. 1,200230. 212231. 630232. 300



233. 40234. 120235. 256

Homework236. .00019237. 12238. .01667239. 24240. .0625241. 7242. .08333243. 8244. $1,666.67245. .1875246. .8333247. 60248. 300249. 3,000 (30-day calendar)250. 240

Converting Unite Ratios 2Classwork

251. .8333252. .6667253. 120254. 240255. .1667256. 72257. 105258. 600259. 360260. 21

Homework261. 12,000262. 30,000263. 6264. 700265. 6266. .1667267. 20268. .2083269. 9270. 350

Converting Unit Ratios 3Classwork

271. 96272. 150273. 60

274. 30275. 5

Homework276. 1,800277. 120278. 720279. 4,500280. 96


281. 12% or 325

282. 7% or 7100

283. 30% or 310

284. 14% or 750

285. 41% or 41100

286. .

287. .

288. .



289.

290.Homework

291. 3% or 3100

292. 20% or 15

293. 28% or 725

294. 36% or 925

295. 40% or 25

296. .

297. .

298. .

299. .

300. .


301. 20%302. 50%303. 25%304. 40%305. 60%306. 80%307. 4%308. 4%309. 12%310. 40%

Homework311. 60%312. 28%313. 72%314. 36%315. 2%316. 30%



317. 80%318. 12%319. 34%320. 90%


321.99100

322.14

323.34

324. 7

325.150

326.320

327.125

328.77100

329.110

330.920

331.120

332.61100

333.120

334. 1

335.1920

336.67100

337.25

338.3150

339.825

340.1925

Percents & Decimals 1

Classwork341. 8%342. 78%343. 112%344. 350%345. 99%346. 10%347. 245%348. 101%349. 98%350. 42%351. 567%352. 5%353. 11%354. 2.4%355. 9.1%

Homework356. 9%357. 60%358. 890%359. 99.1%360. 120%361. 77%362. 78.9%363. 105%364. 45%365. 66%366. 85%367. 133%368. 222.1%369. 98%370. 165%

Percents & Decimals 2Classwork

371. .89372. .65373. .74374. .514375. .0072376. 6377. 1.25378. .0125379. 3.12380. .55381. .412382. .991383. 1.001



384. .824385. .61

Homework386. .02387. .01388. .1389. .21390. 3.13391. .0009392. .000001393. .245394. .562395. .789396. .9397. 1.01398. .81399. .0007400. .00019


401.20100

=15=1

402.25100

=2.510

=2.5

403.70100

=17.525

=17.5

404.38100

=1950

=19

405.45100

= 920

=9

406.10100

= .55

=.5

407.55100

= 55100

=55

408.35100

=17.550

=17.5

409.36100

= 625

=6

410.48100

=2450

=24

Homework

411.28100

= 725

=7

412.12100

= 24200

=24

413.50100

=2550

=25

414.80100

=4050

=40

415.92100

=3650

=36

416.16100

= 425

=4

417.20100

= 420

=4

418.35100

=8.7525

=8.75

419.30100

= 30100

=30

420.40100

=1025

=10


421. 60422. 75423. 135424. 20425. 360

Homework426. 20427. 256428. 5429. 140430. 5


431. 30432. 330433. 52.5434. 15435. 87.5436. 11437. 260438. 421.2439. 20440. 277.2

Homework441. 210442. 22443. 43.75444. 650



445. 800446. 33447. 75448. 45449. 45450. 5.5


451. 50452. 25453. 50454. 50455. 200456. 20457. 10458. 6.67459. 5460. 7.14

Homework461. 200462. 50463. 49464. 25465. 200466. 25467. 12.5468. 20469. 10470. 25

Ratios, Proportions, and Percents Unit ReviewMultiple Choice

1. d.2. a.3. c.4. b.5. c.6. b.7. c.8. c.9. a.10. c.11. c.12. c.13. c.14. b.15. c.16. c.

17. c.18. c.19. d.20. d.

Short Constructed21. 10522. 31,68023. 12 cups and 16 oz or

14 cups24. 6 ft and 15 in or

7 ft and 3 in25. 1 miles and 1,407 ft26. 4 gallons and 4 quarts or

5 gallons27. 1,200 mi28. $5029. 120 cans30. 180 inches

31.81100

32.12

33.920

34.910

35. 20%36. 70%37. 16%38. 45%39. 93%40. 0.52441. 122%42. 0.009143.

a. 2:10, 1:5b. 5:10, 1:2c. 4:27

44. a. 200 studentsb. 400 studentsc. 200 students

45. $50


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