WIXLIB

Summer Math PacketEntering 6th GradeEnjoy your summer! Please remember to refer to your faithful math binder forhelp when working on your summer math packet. You can always use the internetfor help. A great website www.classzone.com is. There are plenty of others aswell. Work hard a little bit of the time to keep up those math skills. Have fun alot of the time to give yourself a break!Mrs. Caroline Hamilton

Lesson #11. Order the numbersfrom least togreatest:45.24, 45.9, 45.444,45.398, 45.4, 45.395. Solve.4,578X 862. Write thefollowing fractionsin lowest terms:A.1624B.3. Find the leastcommon multiple ofthe followingnumbers (LCM):36606. Add.108,956 122,4624. Change to amixed number:1002945 and 97. Find the GCF ofthe followingnumbers:8. 63.45 - 18.9980 and 249. Compare. , , or .345,789 34,57910. Find theperimeter of thegiven shape.L 4 in. and W 3 in.SCRATCHWORK:

Lesson #21. 34.56 – 2. 9 2. 45,887 x 3 3. Your peppermint3plant is 10 inch tall.After one week, it1is 2 inch tall. How4. Solve.59x1215much did the plantgrow in one week?315. 64 35 6. Find the GCF ofthe followingnumbers.60 and 289. Compare , , or .34.1 34.10010. Solve.313 - 8 7.984 32.1 8. Which digit is inthe ten millionsplace?204,567,000,345SCRATCHWORK:

Lesson #31. Solve.2 (64 58) x 75. Solve.4.7. Write thefollowing intall while barefoot1and 13 ft taller while exponential form.wearing stilts. How7x7x8x9x9x9tall is the clownwhile wearing stilts?61110.Solve.45,980X241245 - 33 450,000- 123,67839. Compare. , , or .123. Solve.6. A clown is 54 ft9852,098 4,34742. Sandy had 50in her purse. Shebought a shirt for 12.98, a pair ofpants for 20, andshoes for 15.20.How much changedid she receive?8. A shoemaker has31 yards of leather.42He uses 3 of theleather. How manyyards are used?SCRATCHWORK:

Lesson #41. Subtract.13,461- 9,8362. Simplify.A.98B.60C.2464. 897.15 15 120 and 369045. Ali kicked asoccer ball 13.48 m.What is 13.48rounded to thenearest tenth?6. Solve.9. Write thefollowing number inexpanded form.10. An averageperson’s upper legbone measures 19.88inches and the lowerleg bone measures16.94 inches. Howmuch longer is theupper leg bone thanthe lower leg bone?792.033. Find the GCF ofthe given numbers.7. Solve.39 - 410 12,364 4 8. Reggie playedtwo piano pieces ata recital. Each1piece was 52minutes long. Howlong are the twopiano piecescombined?SCRATCHWORK:

Lesson #51. Solve.2. Kay went to LakesideMall. She had 75 tospend. She purchased 3items which cost 12.75, 32.57, and 21.84. How much moredoes she have to spend?3. Solve. Simplify.5. Use the samevalues for z and yfrom #4.6. Use the samevalues for z and yfrom #4.7. Use the samevalues for z and yfrom #4.Evaluate theexpression: y zEvaluate theexpression: y x zEvaluate theexpression: y z9. Solve.10. Fred has to read abook for a test in 2weeks. If he reads thesame number of pagesper day and the bookhas 350 pages, howmany pages each daydoes he need to read?2393 - 44 48 – 2.658 2514. z 36 & y 64615 x 27 Evaluate theexpression: y - z8. Evaluate theexpression for x 6and y 17.x (20 – y)SCRATCHWORK:

Lesson #61. Put the followingnumbers in orderform least togreatest.8.97, 9.1, 8.09, 8.9,9.092. Convert themixed numbers toimproper fractions.324 145 263 5. Cancel thenmultiply.1215x3036 9. Compare. , , or .2710. Add.31152017493were new releases.If there were 55movies out, howmany were newreleases?7. Solve.892.45 x 0.25 8. Round to thetenths place.456.0871,597 25 822 2336. Solve. Writeyour answer as adecimal.3. Rick said 5 of the 4. Add thesedecimals.movies people wentto see this weekend 32.1, 2.69, 3.44, 11.6 15SCRATCHWORK:

Lesson #71. Charles baked 480cookies. He wantedto give each class thesame number ofcookies. If he has 20classes to feed, howmany cookies will eachclass receive?5. Add. Simplify.46 512 9. Solve.6.42 x 14.5 2. Solve.32,908 x 46 6. Find the GCF ofthe followingnumbers:72 and 4810. Solve.86.24 28 3. Solve.24. Solve.323 - 14 367 – 23.79 7. Solve using order 8. Solve.of operations.6 – 12 3 (15-7)8.99 x 3.2 SCRATCHWORK:

Lesson #81. Solve.2. Solve.65,900 – 23,477 78 3. Solve.910 400 – 12.98 4. Find the GCF andLCM of 12 and 16.GCF LCM 5. Order the6. Round to thefractions from least ones place.to greatest. *Find acommon78.857denominator first78,231,6,4a.60120b.80c.2022189. There are 21classrooms at PineSchool. There are 32students per room.Give an estimate ofthe total number ofstudents in theschool.7. Simplify thefollowing fractions.10. Solve.a. s 456 900b. c – 45 136c. 30 – a 10558. Sara went to the fairwith 15. On the firstday she ate four itemscosting 0.75 each.She played 9 games thatcost 0.50 and 4 gamesthat cost 1.00. Howmuch money does shehave to start thesecond day at the fair?SCRATCHWORK:

Lesson #91. Simplify thefollowing fractions.30 40112242. Solve. Writeyour answer as adecimal.75,825 31 125 30 5. Add.7686. Add.320430 2 56 3. Charlie’s goal is touse less than 50 gallonsof water per day. Hiswater bill for the monthshowed that he used1,524 gallons of water in30 days. Did Charliemeet his goal thismonth? Explain.4. Give the placevalue of the number 2in each of thefollowing 3 numbers.1. 35,684,381.7627. Find the area ofthe following figures.8. Use yourdivisibility rules todetermine if2,3,4,5,6,9, or 10 goevenly into thesenumbers.1. square with 4 cmsides2. rectangle with L 3cm and W 5 cm9. 1,298 68 10. 25,000,120- 9,876,1212. 42,8593. 75,924,970.461. 38,2802. 9453. 683SCRATCHWORK:

Lesson #101. Solve.561x 92 5. Find the GCF of24 and 182. Write thereciprocal of thefollowing fractions.3. Solve.1a.4b.3c.404. Line up thenumbers correctlythen add.252 33 53.6; 4.24; 23.9;0.987566. Find the area ofa square whosesides equal 5 cm.7. Is the followingnumber divisible by2, 3, 4, 5, 6, 9, 108. Solve.13,987 x 25 45,6009. Compare. , , or .468510. Write the primefactorization innumerical order andexponential form:45SCRATCHWORK:

Lesson #111. The movie began at7:30 and lasted 90minutes. At whattime did the movieend?2. Solve.63. Solve.71411 222 5. Find the missing 6. Solve.number to make the28fractions equivalent.x9 36a.b.c.58 16𝑥1014𝑥𝑥20 50 24. Solve.60,275 24,845 7. Dana wants to buya computer that costs 1,236. She works atthe grocery storewhere she earns 11an hour. How manyhours will she have towork to earn enoughmoney to purchasethe computer?125 x 214 8. Solve.1222335 x49. Solve.78.4 0.14 10. Simplify.a.45b.86c.1690924SCRATCHWORK:

Lesson #121. Solve.2. Solve.36 (2 4) x 9 - 3 5. What is the GCFfor the numbers:30 - (10 𝑥 2) 7 x 46. Solve.8.32 x 34.7 36 and 429. Solve.46x10. Solve.618 3,600 60 45,000 900 270,000 3,000 3. Solve.782.43 33 7. What is theperimeter of anobject with sidesthat equal 2 in, 3 in,3.5 in, 1.5 in, and 3in?4. Claire drove 2.9miles to the north,3.4 miles to theeast, and 3.7 milesto the south. Howmany miles did shedrive in all?8. If a student got17 problems out of25 problems correcton a test, whatpercentage ofproblems did sheget correct?SCRATCHWORK:

Lesson #131. Solve.3– 6 2 (24 – 6)2. Solve.3. Solve.43 35,987 x 63 105 34 4. Al and Bob each goto the store to buyschool supplies. Al buys11 colored pencils for 0.69 each and Bobbuys 3 packs of foldersfor 2.70 per pack.Who spent more at thestore? Explain.62 5. Mark bought anotebook for 1.59,some filler paperfor 0.89, and 3pens at 0.49 each.How much did Markspend on supplies?6. Solve.9. Simplify.10. Solve.45601293 - 33 27. If you buy adigital music playerfor 246, includingtax, and are allowedto pay for it in 6equal payments, howmuch will eachpayment be?8. Find theperimeter of asquare whose sideequals 4.5 inches.SCRATCHWORK:3415 - 34

Lesson #141. Michelle has arecipe that calls for 2½ cups of vegetableoil. She wants to use2of that amount of oil12. 25 x 5 3. Solve.263 x 5 hours over theweekend. How muchhomework does hehave in a week?3and use applesauce toreplace the rest. Howmuch vegetable oil willshe use?5. Tell if thenumber is divisibleby 2, 3, 4, 5, 6, 9,104. John has 1 ½ hoursof homework fromMonday through3Thursday and 2 46. There are 3 feetin 1 yard.7. Solve.1How many feet arein 5 yards?8. Solve.310 5 - 6 4 920-45,7629. Tom bought 8chicken breasts and 5steaks. Each chickenbreast weighed 0.35pounds and each steakweighed 1.25 pounds.How many pounds ofmeat did Tom buy?10. Solve.412 - 65 SCRATCHWORK:415

Lesson #151. Write an equivalent 2. Find the missingfraction.number to make the453. Solve.4. Solve.fractions equal.6 - 1½ 523 316 x 24 𝑛12135. Solve. Write the 6. Write as a mixedanswer as a mixednumber.number.9145,987 30 99. Solve using order 10. Solve.of operations.718xx2413(21 x 7) – 15 29 7. Solve.3,987,344 9,345,1098. Solve. Cancelbefore you multiply.3040x4860SCRATCHWORK:1621

Lesson #161. Louis walks 2 mileson Monday, 3 miles onWednesday, and 2.5miles on Saturday.He wants to walk 10miles each week. Didhe meet his goal? Ifnot, how much moreshould he havewalked?2. Solve usingorder of operations.5. Solve.6. Write as animproper fraction.89 463. Solve.4. Solve.220325 x 3 6 x 2 - 38 7. Solve.8. Solve.65,000,001- 43,122,00823x 15 110 39. Solve.10. Find the GCF of15 and 25.3.98 46 Find the LCM of 15and 25.429 x 45 SCRATCHWORK:

5th Grade Summer PacketAnswer KeyLESSON 1: 1. 45.24, 45.39, 45.398, 45.4, 45.444, 45.93. LCM 4513294. 314 in.5. 393,708LESSON 2: 1. 31.66 2. 137,6619. 10.7. 72 x 8 x 932. 1.821168.yards8. 11 minutes11LESSON 5: 1. 4129. 45.342inch9. 4. 49.835.232. a. 163 b.2. 7.847. a. ½ b. 36. 63.887. 10c.LESSON 9: 1.84. 15c. 64. 2127. 223.1125114258. 456.13.3. 387.027. 2, 3, 4, 5, 6, 102. a.2. 2,527.58. 349,675LESSON 11: 1. 9:007. 113 hours8.b.2332. 1619229. 56020353c.9. 3. 1 ½feet5. 13.5 m 6. 410)10. 2.9423296. 23247. 1468. 93. 33 new releases9. , , 111210.4. 343.2119205. 1111242 75. 6, 18, 3, 86. 7910. a. 444 b. 181 c. 1806. 1 ½7. 16𝑐𝑚2 , 15𝑐𝑚210. 15,123,9994. 32.7275. GCF 66. 25𝑐𝑚210. 3 x 3 x 5 ; 32 x 53. 85,12010.1123. No, he used about 51 gallons per day.9. 88.264640110010.74. 59.814. GCF 4 LCM 48554,9. About 600 students8. 1. 2,3,4,5,6,10 2. 3,5,9 3. None11126. 79. 7. 1,016.1 8. 610. 3.084. thousandths, thousands, ten thousands 5. 98LESSON 10: 1. 7215,9. 93.09318. 3.508. 44.465. 7,4305. 10 ½2. 1,513,7682. 140,1½,52.3b. 56. GCF 43. GCF 1253. 48. 28.7684113419205. 910. 25 pages each dayLESSON 8: 1. 42,423711499. (7 x 100) (9 x 10) (2 x 1) (3 xLESSON 7: 1. 24 cookies6. GCF 247. GCF 82310. 1,103,520LESSON 6: 1. 8.09, 8.9, 8.97, 9.09, 9.1234.3. 326,3221LESSON 4: 1. 3,6257. 3,091153.5128LESSON 3: 1. 446.231,4182. a.12,5994. 26,750,235. a. 10 b. 4 c. 286. 7

LESSON 12: 1. 512. 303. 23.714. 10 miles1727. 13 in.8. 259. 910. 60; 50; 90LESSON 13: 1. 18and Al spent 7.59.2119. 9.05 pounds2. 43. 1,315110. 55LESSON 15: 1. Answers may vary7. 13,332,4538.359. 16110.LESSON 16: 1. No, 2.5 more miles7. 21,877,9938. 106. 288.7042. 64; 100,000; 81; 363. 2,267,1814. Bob. He spent 8.102355. 2.976. 537. 41.008. 20.25 𝑖𝑛29. 410. 12LESSON 14: 1. 15 cups8. 605. GCF 69. 49.982. n 84132. 4934. 84 hours75. 2,3,613. 4124. 423. 8,0004. 1010. GCF 5, LCM 7596. 15 feet 7. 32095. 1,532 102355. 196. 106.31319

Summer Math Packet Entering 6th Grade Enjoy your summer! Please remember to refer to your faithful math binder for help when working on your summer math packet. You can always use the internet for help. A great website www.classzone.com is. There are plenty of others as well. Work hard a little bit of the tim