Skills VIII: Grade 5 And 6 Math Exercise Workbook

Transcription

Skills VIIIExercise BookTopics:Fractions: operationsMixed numbersDivision and multipliction of fractionsConversion of fractions into percentsPercentages of numbers

This workbook is made for grade 5 and 6 students or for thosewho need remedial practice or more challenging materials.This workbook covers:- Adding and subtracting fractions with denominators that arenot multiples of each other- Division and Mixed Numbers- Division of fractions- Multiplication of fractions by whole numbers- Multiplication of fractions by fractions- Division of fractions by fractions- Converting fractions into percents-Percents of numbersThis booklet is excellent practice material for students of anyability level. It can be used as remedial learning and teachingmaterial or as math content for those who need to bechallenged more.Copyright: Math in English

Addition and Subtraction of fractionsCalculate and show your answers in the lowest terms11 6411 3221 4 311 5 611 61012 31021 3511 2914 31014 3 811 2 515 4 1032 61011 3812 2731 5631 61533 8622 7 412 4 313 8 724 10 1540 7 911 6 931 10451 6813 520Copyright: Math in EnglishPage 1

Addition and Subtraction of fractionsCalculate and show your answers in the lowest terms21 6411 3711 4 211 5 331 61012 31221 7511 2714 31013 3 611 2 615 3 1422 61011 5812 2511 5631 61433 8741 7 412 5 413 5 714 10 1530 8 911 4 931 10451 6813 520Copyright: Math in EnglishPage 2

Addition and Subtraction of fractionsCalculate and show your answers in the lowest terms11 4611 2321 4 - 311 5 - 611 61012 31021 3511 2924 31024 3 - 811 2 - 535 4 - 1032 61011 3812 2731 5631 61532 8642 7 - 432 4 - 343 8 - 744 10 - 1540 7 - 911 6 - 931 10451 6813 520Copyright: Math in EnglishPage 3

Addition and Subtraction of fractionsCalculate and show your answers in the lowest terms21 4611 2431 4 - 321 5 - 621 61022 31011 3511 2811 31021 3 - 811 2 - 331 4 - 1022 61011 3711 2721 5641 61552 8621 7 - 422 4 - 843 7 - 854 10 - 1560 9 - 921 6 - 941 10441 6823 520Copyright: Math in EnglishPage 4

Addition of Mixed NumbersCalculate and show your answers in the lowest terms21 13 2533 21 4713 14 4644 11 5353 11 7611 12 8931 12 8651 11 9632 26 4934 21 5631 15 4621 65 4642 11 4613 42 4671 16 4742 11 3241 45 3627 41 8621 33 3432 25 4631 21 5221 24 2611 18 8953 12 46Copyright: Math in EnglishPage 5

Division and Mixed NumbersDivide and express your answers in mixed numbers5 4 10 4 8 5 12 5 7 3 7 5 6 4 11 6 10 7 3 2 13 4 22 9 15 4 7 2 43 9 23 5 9 4 15 8 12 7 17 4 21 6 35 8 13 2 11 5 Copyright: Math in EnglishPage 6

Division and Mixed NumbersDivide and express your answers in mixed numbers5 3 13 4 6 5 16 5 7 6 9 5 9 4 13 6 10 7 7 2 17 4 19 9 11 4 9 2 46 9 21 5 6 4 13 8 16 7 19 4 20 6 31 8 11 2 12 5 Copyright: Math in EnglishPage 7

Division and Mixed NumbersDivide and express your answers in mixed numbers5 2 210 9 8 7 112 7 7 6 17 3 9 4 217 6 10 8 7 4 119 4 22 7 18 4 27 5 41 9 23 9 29 8 13 8 12 9 117 8 21 6 35 9 313 8 17 5 Copyright: Math in EnglishPage 8

Dividing FractionsDivide and express your answers in the lowest possible terms14 4 46 3 23 5 12 4 33 6 29 3 19 7 15 4 35 8 56 6 13 3 17 6 16 8 15 2 13 2 49 4 58 9 92 5 35 2 23 6 45 4 34 4 67 2 19 3 53 3 Copyright: Math in EnglishPage 9

Dividing FractionsDivide and express your answers in the lowest possible terms13 4 45 3 24 5 13 4 33 4 27 4 18 7 15 5 26 8 56 5 12 3 27 5 16 8 15 3 15 9 49 3 38 9 32 4 45 2 13 6 45 3 34 4 27 2 19 8 54 4 Copyright: Math in EnglishPage 10

Multiplying FractionsMultiply and express your answers in mixed numbers13x4 25x8 24x5 27x9 17x9 13x7 12x9 25x4 14x5 13x8 43x4 12x5 13x5 23x 11 16x8 53x4 15x9 17x9 38x4 27x4 16x9 15x 24 14x 39 67x4 45xCopyright: Math in English4 Page 11

Multiplying FractionsMultiply and express your answers in mixed numbers13x5 24x7 23x5 26x7 15x9 16x7 12x8 23x4 14x6 13x7 53x4 12x7 23x5 23x 10 16x9 53x3 15x8 16x9 38x4 27x5 26x9 16x 24 14x 31 47x4 35xCopyright: Math in English4 Page 12

Multiplying FractionsMultiply and express your answers in the lowest terms13x1 312x1 324x2 429x3 737x1 617x6 712x1 215x4 627x2 715x4 243x2 343x1 323x2 313x2 613x2 813x5 617x3 535x3 427x5 756x2 326x2 314x3 523x1 314x6 8Copyright: Math in EnglishPage 13

Multiplying FractionsMultiply and express your answers in the lowest terms14x1 318x1 325x2 425x3 734x1 427x6 613x1 218x4 617x2 719x4 247x2 343x1 325x2 317x2 613x3 814x5 614x3 525x3 426x5 756x2 316x2 313x3 523x2 334x6 8Copyright: Math in EnglishPage 14

Dividing FractionsDivide and express your answers in mixed numbers and the lowest terms13 1 412 1 324 1 529 3 737 1 667 1 412 1 715 1 657 1 945 1 245 1 312 1 927 2 813 1 713 1 823 2 557 1 535 1 457 2 726 2 326 1 834 3 523 1 714 1 9Copyright: Math in EnglishPage 15

Dividing FractionsDivide and express your answers in mixed numbers and the lowest terms15 1 413 1 314 1 519 3 727 1 668 1 413 1 714 4 657 1 935 1 246 1 317 1 917 2 812 1 714 1 813 2 517 1 535 1 417 2 729 2 326 1 824 3 525 1 713 1 9Copyright: Math in EnglishPage 16

Fractions and PercentsConvert the following fractions into percents (round off to the nearest hundredth)13 %46 %16 %27 %23 %19 %37 %18 %111 %213 %314 %59 %13 %17 %68 %12 %43 %67 %45 %26 %99 %87 %58 %93 %82 %317 %125 %150 %175 %Copyright: Math in EnglishPage 17

Fractions and PercentsConvert the following fractions into percents (round off to the nearest hundredth)37 %43 %18 %211 %29 %13 %36 %17 %113 %215 %319 %58 %72 %77 %67 %62 %49 %64 150 %73 %45 %59 %37 %38 %23 %52 %417 %925 %350 %975 %Copyright: Math in EnglishPage 18

Percentage of numbersCalculate the following percentages75% of 150 30% of 180 25% of 170 20% of 160 15% of 150 50% of 145 45% of 200 10% of 198 60% of 450 40% of 325 60% of 400 73% of 250 25% of 190 65% of 150 50% of 153 50% of 110 95% of 160 75% of 500 65% of 320 35% of 170 88% of 150 40% of 100 33% of 150 75% of 270 90% of 250 47% of 250 23% of 200 Copyright: Math in EnglishPage 19

Percentage of numbersCalculate the following percentages25% of 150 40% of 180 15% of 170 10% of 160 35% of 150 60% of 145 42% of 200 50% of 198 61% of 450 48% of 325 90% of 400 72% of 250 65% of 190 75% of 150 60% of 153 80% of 110 95% of 160 15% of 500 15% of 320 75% of 170 18% of 150 30% of 100 37% of 150 25% of 270 92% of 250 49% of 250 33% of 200 Copyright: Math in EnglishPage 20

Addition and Subtraction of fractionsAddition and Subtraction of fractionsCalculate and show your answers in the lowest termsCalculate and show your answers in the lowest terms115 126 411 653 22176 4 1211103 7 2121 654 311 115 6301134 2 41185 3 151146 10 151283 10 15316 106 1012 213 122113 153 51111 182 91411 153 1021177 5 351192 7 1414113 10 1514 653 8117 102 515 434 101353 6 61122 6 315293 14 42327 106 101111 243 81211 142 7228 156 101113 405 8129 102 53123 305 63117 306 1533 878 61111 305 63112 216 143345 568 72211 147 41211 124 31331 568 74123 287 4127 105 41322 355 7247 1510 1540 477 9115 186 91411 3010 1530 388 91113 364 931 1110 4205123 246 8137 205 2031 1110 4205123 246 8137 205 20Page 1Copyright: Math in EnglishAddition and Subtraction of fractionsPage 2Copyright: Math in EnglishAddition and Subtraction of fractionsCalculate and show your answers in the lowest termsCalculate and show your answers in the lowest terms111 124 - 611 612 - 321 134 - 611 412 - 421 614 - 3111 305 - 6315 124 - 3217 305 - 6111 156 - 10122 153 - 10217 306 - 10227 153 - 10217 153 - 5117 182 - 9244 153 - 101123 - 5 151132 - 8 81173 - 10 3024 613 - 8113 102 - 535 414 - 102113 243 - 811 612 - 331 134 - 1020323 106 - 10115 243 - 8123 142 - 7222 156 - 10114 213 - 7116 142 - 73113 305 - 63113 306 - 15321 248 - 62113 305 - 641 536 - 15527 248 - 6421 147 - 4321 124 - 3431 148 - 72117 - 4 142214 - 8 443117 - 8 56442 1510 - 1540 477 - 9111 186 - 954210 - 15 156069 - 9 92126 - 9 931110 - 4 2051176 - 8 241315 - 20 20413 2010 - 44113 246 - 823 415 - 20Copyright: Math in EnglishPage 3Copyright: Math in EnglishPage 4

Addition of Mixed NumbersCalculate and show your answers in the lowest termsDivision and Mixed NumbersDivide and express your answers in mixed numbers21 13 4125103 3 2 1 5 2547285 4 1 4110 4 2 2113 14 35461244 11 6253158 5 1 5312 5 2 525 3 1 1 6 2576421 1 1 2 2 2589727 3 2 317 5 1 523 1 1 2 4 11862451 11 65961832 26 614966 4 1 2111 6 1 6510 7 1 733 4 2 1 5 29563031 15 51461221 65 9146123 2 1 2113 4 3 4122 9 2 9442 11 5246313 42 61461271 16 93472815 4 3 437 2 3 2143 9 4 9742 11 6132641 45 9136627 41 71862423 5 4 539 4 2 4115 8 1 8721 33 61341232 25 6146331 21 57521012 7 1 7517 4 4 4121 6 3 2121 24 5126611 18 31897253 12 71461235 8 4 8313 2 6 2111 5 2 51Page 5Copyright: Math in EnglishPage 6Copyright: Math in EnglishDivision and Mixed NumbersDivide and express your answers in mixed numbersDivision and Mixed NumbersDivide and express your answers in mixed numbers5 3 1 3213 4 3 415 2 2 2110 9 1 916 5 1 5116 5 3 518 7 1 7112 7 1 757 6 1 619 5 1 547 6 1 617 3 2 319 4 2 4113 6 2 6110 7 1 739 4 2 4117 6 2 6510 8 1 417 2 3 2117 4 4 4119 9 2 917 4 1 4319 4 4 4322 7 3 7111 4 2 439 2 4 2146 9 5 9118 4 2 217 5 1 5241 9 4 9521 5 4 516 4 1 2113 8 1 8523 9 2 959 8 1 8113 8 1 8516 7 2 7219 4 4 4120 6 3 3112 9 1 3117 8 2 8121 6 3 2131 8 3 8711 2 5 2112 5 2 5235 9 3 9813 8 1 8517 5 3 52Copyright: Math in EnglishPage 7Copyright: Math in EnglishPage 8

Division and Mixed NumbersDivide and express your answers in the lowest possible termsDividing FractionsDivide and express your answers in the lowest possible terms14 14 1646 3 29131 4 12454 3 1523 25 1512 4 18241 5 10131 4 1233 6 1629 23 2719 17 6333 4 41271 4 14181 7 5615 14 2035 38 4056 56 36151 5 25261 8 2456 5 6113 3 1917 16 4216 18 4812 3 61272 5 35161 8 4815 12 1013 2 1649 4 19151 3 15151 9 45494 3 2758 59 7292 95 1035 32 10381 9 2432 4 38454 2 1023 6 1945 4 1534 34 16131 6 18454 3 15343 4 1667 2 3719 13 2753 3 5927 2 71191 8 72545 4 16Page 7Copyright: Math in EnglishPage 10Copyright: Math in EnglishMultiplying FractionsMultiply and express your answers in mixed numbersMultiplying FractionsMultiply and express your answers in mixed numbers13x14 1325x18 3513x25 1324x17 3224x15 2227x49 2723x15 3326x17 2317x29 1713x17 2312x19 4215x49 1516x17 1612x8 425x34 1514x15 1413x28 2323x24 2314x16 1213x17 2343x14 5312x15 2213x25 1353x24 6312x17 3223x15 3323x 11 7 1316x18 1353x24 6323x 10 6 2316x19 1253x3 515x49 1517x29 1738x14 1215x38 1516x19 1238x14 1227x14 1716x19 1215x 24 4 4527x35 1726x9 316x 24 414x 39 9 4367x34 3745x14 3514x 31 7 4347x24 2735xCopyright: Math in EnglishPage 11Copyright: Math in English24 25Page 12

Multiplying FractionsMultiply and express your answers in the lowest termsMultiplying FractionsMultiply and express your answers in the lowest terms13x1 31912x1 31614x1 311218x1 312424x2 41429x3 722125x2 411025x3 763537x1 611417x6 764934x13 12427x6 62712x1 21415x4 621527x2 744913x1 21618x4 611217x2 724915x4 22543x2 38943x1 34919x4 22947x2 382143x1 34923x2 34913x2 61913x2 811225x2 341517x2 612113x3 81813x5 651817x3 533535x3 492014x5 652414x3 532025x3 431027x5 7104956x2 35926x2 32926x5 752156x2 35916x2 31914x3 532023x1 32914x6 831613x3 51523x2 34934x6 8916Page 13Copyright: Math in EnglishPage 13Copyright: Math in EnglishDividing FractionsDivide and express your answers in mixed numbers and the lowest termsDividing FractionsDivide and express your answers in mixed numbers and the lowest terms13 1 1 13412 1 1 12315 1 44513 1 3124 1 2 21529 3 7142714 1 1 41519 3 772737 1 2 74667 1 3 73427 1 1 75668 1 4312 11 32715 11 15657 31 67913 11 23714 4 63857 31 67945 31 15245 21 25312 11 42935 11 15246 1 3217 21 17927 12 17813 11 23713 21 23817 2 84712 11 32714 1 823 22 13557 41 37535 21 25413 12 16517 1 55735 21 25457 12 22726 2 31226 21 23817 2 71229 2 31326 21 23834 13 14523 21 43714 11 24924 3 55625 41 25713 1 9Copyright: Math in EnglishPage 15Copyright: Math in English23Page 16

Fractions and PercentsConvert the following fractions into percents (round off to the nearest hundredth)Fractions and PercentsConvert the following fractions into percents (round off to the nearest hundredth)13 33.33 %46 66.67 %37 42.86 %43 133.33 %16 16.67 %27 28.57 %18 12.5%211 18.18 %23 66.67 %19 11.11 %29 22.22 %13 33.33 %37 42.86 %18 12.5 %36 50%17 14.29 %111 9.09 %213 15.38 %314 21.43 %113 7.69 %215 13.33 %319 15.79 %59 55.56 %13 33.33 %17 14.29 %58 62.5%72 350 %77 68 %12 50%43 133.33 %67 85.71 %62 300 %49 44.44 %67 85.71 %45 80%26 33.33 %64 150 %73 233.33 %45 99 100 %87 114.29 %58 62.5 %59 55.56 %37 42.86 %38 37.5 %93 82 400 %317 17.65 %23 66.67 %52 250 %417 23.53 %150 175 925 350 975 125 75300 %4%2%1.33 %Page 17Copyright: Math in English36 %6%Calculate the following percentages30% of 180 5425% of 150 37.540% of 180 7225% of 170 42.520% of 160 3215% of 170 25.510% of 160 1615% of 150 22.550% of 145 72.535% of 150 52.560% of 145 8745% of 200 9010% of 198 19.842% of 200 50% of 198 9960% of 400 24097.525% of 190 47.565% of 150 50% of 110 5595% of 160 15260% of 450 27073% of 250 182.550% of 153 76.5075% of 500 37565% of 320 20835% of 170 59.588% of 150 1324033% of 150 49.575% of 270 202.540% of 100 90% of 250 225Copyright: Math in English12 %Percentage of numbers75% of 150 112.540% of 325 13080 %Page 18Copyright: Math in EnglishPercentage of numbersCalculate the following percentages100 %47% of 250 117.523% of 200 46Page 198461% of 450 274.548% of 325 15690% of 400 36072% of 250 18065% of 190 123.575% of 150 112.560% of 153 91.895% of 160 15215% of 500 7515% of 320 4875% of 170 38.2518% of 150 2730% of 100 3037% of 150 55.525% of 270 67.592% of 250 23049% of 250 122.533% of 200 80% of 110 88Copyright: Math in English66Page 20

This workbook is made for grade 5 and 6 students or for those who need remedial practice or more challenging materials. This workbook covers: - Adding and subtracting fractions with denominators that are not multiples of each other - Division and Mixed Numbers - Division of fractions - Multiplication of fractions by whole numbers