# Skills X: Grade 6 Math Exercise Book

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Skills XExercise BookTopics:FactorsDivisibility rulesMultiplication of fractions by decimalsDivision of fractions by decimalsExponents and square rootsPrime factorizationIntegers and order of operations

This workbook is made for grade 5 , 6 or even grade 7 studentsand can be used as supplemental practice material or remedialmath learning material.This workbook covers:- Factors of numbers up to 325- Multiplication of fractions by decimals- Division of fractions by decimals- Exponents and square roots- Prime factorization- Integers (operations with 3 integers)- Order of operations- Division of 5 digit numbers by 3 digitsThis exercise material is excellent practice material for studentsof any math ability level. It can be used as remedial learningand teaching material or as material for those who need to bechallenged more.

Finding factorsFind the factors of the following 19511844102175Copyright: Math in EnglishPage 1

Finding factorsFind the factors of the following 13412848156150Copyright: Math in EnglishPage 2

Multiplying fractions by decimalsCalculate and round your answers off to the nearest tenth13x4.2 25x8.5 24x5.3 27x9.3 17x9.1 13x7.5 12x9.3 25x4.4 14x5.1 13x8.8 43x4.7 12x5.5 13x5.5 23x 11.3 16x8.2 53x4.9 15x9.9 17x9.2 38x4.3 27x4.4 16x9.2 15x 24.2 14x 39.4 67x4.2 45xCopyright: Math in English4.7 Page 3

Multiplying fractions by decimalsCalculate and round your answers off to the nearest tenth14x2.4 29x3.5 27x5.8 67x8.3 47x3.3 17x9.5 18x9.1 29x4.4 16x7.1 23x8.4 83x4.9 17x8.5 19x5.7 29x 15.3 36x7.2 97x4.3 35x7.9 47x3.2 78x8.3 29x4.9 17x9.2 28x 24.2 34x 25.4 37x8.2 43xCopyright: Math in English3.7 Page 4

Dividing fractions by decimalsCalculate and round your answers off to the nearest hundredth14 1.2 26 0.5 14 1.3 27 0.3 16 2.1 12 1.5 12 2.3 15 0.4 19 0.1 13 0.8 53 1.7 12 1.7 13 0.5 23 0.3 13 0.2 53 0.9 15 0.9 17 1.2 18 1.3 37 0.4 19 1.8 38 0.2 34 0.4 57 1.2 25 0.7 Copyright: Math in EnglishPage 5

Dividing fractions by decimalsCalculate and round your answers off to the nearest hundredth17 1.5 27 1.5 15 1.2 29 1.3 13 3.1 13 1.2 17 2.5 14 0.7 29 0.4 18 0.7 43 1.3 13 1.5 14 0.6 25 0.4 14 0.4 56 1.9 16 0.8 37 2.2 19 1.5 27 0.5 29 1.5 78 0.3 36 0.5 58 1.2 27 0.7 Copyright: Math in EnglishPage 6

Divisibility rules of 2, 3, 4 and 6Are the following numbers divisible by 2, 3, 4 and 6 (no remainders or decimals)?Complete the tables with yes or no (the first one is done for you).128By 2By 3By 4By 6YesNoYesNo1,250By 2By 3By 4By 6734By 2By 3By 4By 6950By 2By 3By 4By 6Copyright: Math in English345By 2By 3By 4By 6750By 2By 3By 4By 6132By 2By 3By 4By 6380By 2By 3By 4By 6663By 2By 3By 4By 6500By 2By 3By 4By 62,500By 2By 3By 4By 6Page 7

Divisibility rules of 3, 5, 6 and 8Are the following numbers divisible by 3, 5, 6 and 8 (no remainders or decimals)?Complete the tables with yes or no.308By 3By 5By 6By 83,050By 3By 5By 6By 8548By 3By 5By 6By 8325By 3By 5By 6By 8Copyright: Math in English866By 3By 5By 6By 8650By 3By 5By 6By 8176By 3By 5By 6By 8365By 3By 5By 6By 8222By 3By 5By 6By 8900By 3By 5By 6By 81,700By 3By 5By 6By 8Page 8

Divisibility rules of 4, 6, 7 and 9Are the following numbers divisible by 4, 6, 7 and 9 (no remainders or decimals)?Complete the tables with yes or no.385By 4By 6By 7By 93,424By 4By 6By 7By 9738By 4By 6By 7By 9264By 4By 6By 7By 9Copyright: Math in English284By 4By 6By 7By 9999By 4By 6By 7By 9256By 4By 6By 7By 9450By 4By 6By 7By 9440By 4By 6By 7By 9642By 4By 6By 7By 99,448By 4By 6By 7By 9Page 9

ExponentsCalculate2 24 2 35 3 26 23 61 2 43 39 03 2 54 38 21 4 23 16 27 2 07 05 22 5 34 19 27 7 16 12 88 2 63 59 31 02 78 35 4 42Copyright: Math in English203293054Page 10

Square rootsCalculate the square roots of the following numbers 100 25 625 9441 4 289 196 64 361 16 576 324 225 81 256 121 144 49 36 169 400 529 484 1Copyright: Math in EnglishPage 11

Square rootsBetween which 2 whole numbers are the following square roots?110 is betweenand150 is betweenand40 is betweenand10 is betweenand200 is betweenand550 is betweenand70 is betweenand30 is betweenand230 is betweenand270 is betweenand50is betweenand500 is betweenand122 is betweenand85 is betweenand60 is betweenand190 is betweenand300 is betweenand424 is betweenandCopyright: Math in EnglishPage 12

Prime factorizationPrime factorize of the following numbers.64 210 250 375 125 250 350 98 295 140 100 175 200 525 364 230 88 110 Copyright: Math in EnglishPage 13

Prime factorizationPrime factorize of the following numbers.165 220 278 435 155 750 360 555 195 440 300 375 400 625 654 410 194 550 Copyright: Math in EnglishPage 14

Calculations with 3 IntegersCalculate-12 x 4 x -12 15 -4 x -10 12 7 x -12 -12 x 2 x -11 -20 x -4 x -12 -25 x 4 -12 -72 x -2 -52 -12 4 - -12 -20 x -5 x9 -16 x 2 x -10 -15 x 3 - -12 11 x 2 -12 1219 -14 4 -12 -19 x -3 - -99 -12 x 5 x -12 -15 4 x -12 12 -6 x -24 -14 -9 x -12 -12 x 3 x -16 20 8 x -10 -15 x -3 99 - 4 xCopyright: Math in EnglishPage 15

Calculations with 3 IntegersCalculate-13 x 5 x -11 25 -3 x -20 15 8 x -20 -18 x 2 x -22 -25 x -3 x -11 -35 x 3 -12 -34 x -3 -62 -15 3 - -19 -14 x -3 x8 -17 x 2 x -15 -11 x 4 - -33 22 x 2 -12 1012 -20 4 -22 -22 x -3 - -23 -12 x 3 x -15 -10 4 x -10 25 -3 x -14 -11 -8 x -12 -15 x 2 x -11 45 8 x - 5 -25 x -2 99 - 4 xCopyright: Math in EnglishPage 16

Order of Operations: BodmasUse the BODMAS rules!12 x (4 12) 12 x (4 2) 72 - (3 x 15) 18 9 - 13 23 - 4 x 2 10 x 3 - 22 12 (2 2) 12 - (4 x 2) 24 (4 2) 12 x 8 10 12 x (8 - 7) (4 x 8) 0.5 12 x (14 7) 72 (3 15) 18 9 - 2 21 x (4 12) 23 x 4 2 10 - 3 x 2 15 (4 12) 12 x (7 2) 24 x (4 2) 15 5 x 12 12 8 2 75 x (4 - 2) 12 - 4 x 3 72 - 4 x 15 18 9 3 30 x 4 12 23 8 2 10 3 x 3 12 - (8 - 2) (10 16) 2 38 4 x 2 12 - 10 2 Copyright: Math in EnglishPage 17

Order of Operations: BodmasUse the BODMAS rules!15 x (3 12) 17 x (9 2) 75 - (3 x 13) 17 4 - 13 25 - 5 x 2 10 x 9 - 22 36 (4 2) 18 - (3 x 2) 24 (8 2) 12 x 3 10 15 x (8 - 7) (2 x 5) 0.1 15 x (12 7) 45 (3 12) 27 3 - 2 14 x (8 16) 20 x 8 2 22 - 4 x 2 15 (4 16) 22 x (3 2) 20 x (6 2) 32 5 x 12 25 6 2 70 x (4 - 2) 66 - 4 x 3 55 - 3 x 15 10 9 3 25 x 4 10 23 6 2 10 2 x 3 19 - (7 - 2) (11 13) 2 67 4 x 2 12 - 18 2 Copyright: Math in EnglishPage 18

Division by 3 digit numbers (whole tens)Divide17,765 330 23,465 270 18,090 250 15,000 910 76,980 990 12,511 150 15,865 220 23,678 430 34,009 940 19,999 350 21,987 430 21,980 380 55,555 660 87,001 950 44,871 590 23,871 570 11,765 120 48,765 580 14,008 730 Copyright: Math in EnglishPage 19

Division by 3 digit numbers (whole tens)Divide23,987 340 44,987 660 21,098 560 17,000 310 44,098 490 16,511 250 66,989 860 76,981 930 45,768 940 19,999 350 21,112 430 48,987 580 55,555 660 75,004 950 44,871 590 32,541 570 44,863 520 45,735 570 19,004 730 Copyright: Math in EnglishPage 20

Finding factorsFinding factorsFind the factors of the following numbers:Find the factors of the following numbers:1001, 2, 4, 5, 10, 20, 25, 50, 1001241, 2, 4, 31, 62, 124801, 2, 4, 5, 8, 10, 16, 20, 40, 80701, 2, 5, 7, 10, 14, 35, 70261, 2, 13, 261, 3, 5, 9, 15, 25, 45, 75, 2253251, 5, 13, 25, 65, 32590 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 901391, 139351261, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 12696 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 961181, 2, 59, 1181, 5, 29, 145991, 3, 9, 11, 33, 991421, 2, 71, 1421, 5, 31, 155851, 5, 17, 851221, 2, 61, 122161, 2, 4, 8, 16225201, 2, 4, 5, 10, 201131, 113751, 3, 5, 15, 25, 751251, 5, 25, 125921, 2, 4, 23, 46, 92110691, 3, 23, 691451, 2, 5, 10, 11, 22, 55, 1101, 5, 7, 35881, 2, 4, 8, 11, 22, 44, 88155641, 2, 4, 8, 16, 32, 641281, 2, 4, 8, 16, 32, 64, 128651, 5, 13, 651551, 5, 31, 155981, 2, 7, 14, 49, 981951, 3, 5, 13, 15, 39, 65, 195941, 2, 47, 941341, 2, 67, 1341, 2, 59, 118441, 2, 4, 11, 22, 441281, 2, 4, 8, 16, 32, 64, 128481, 2, 3, 4, 6, 8, 12, 16, 24, 481751, 5, 7, 25, 35, 1751501, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 1501181021, 2, 3, 6, 17, 34, 51, 102156 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156Page 1Copyright: Math in EnglishMultiplying fractions by decimalsCalculate and round your answers off to the nearest tenthPage 2Copyright: Math in EnglishMultiplying fractions by decimalsCalculate and round your answers off to the nearest tenth13x4.2 1.425x8.5 3.414x2.4 0.629x3.5 0.824x5.3 2.727x9.3 2.727x5.8 1.767x8.3 7.117x9.1 1.313x7.5 2.512x9.3 4.747x3.3 1.917x9.5 1.418x9.1 1.125x4.4 1.814x5.1 1.313x8.8 2.929x4.4 116x7.1 1.223x8.4 5.643x4.7 6.312x5.5 2.813x5.5 1.883x4.9 13.117x8.5 1.219x5.7 0.623x 11.3 7.516x8.2 1.453x4.9 8.229x 15.3 3.436x7.2 3.697x4.3 5.515x9.9 217x9.2 1.338x4.3 1.635x7.9 4.747x3.2 1.878x8.3 7.327x4.4 1.316x9.2 1.515x 24.2 4.829x4.9 1.117x9.2 1.328x 24.2 6.114x 39.4 9.967x4.2 3.645x34x 25.4 19.137x8.2 3.543xCopyright: Math in English4.7 3.8Page 3Copyright: Math in English3.7 4.9Page 4

Dividing fractions by decimalsCalculate and round your answers off to the nearest hundredthDividing fractions by decimalsCalculate and round your answers off to the nearest hundredth14 1.2 0.2126 0.5 0.6717 1.5 0.127 1.5 0.1914 1.3 0.1927 0.3 0.9515 1.2 0.1729 1.3 0.1716 2.1 0.0812 1.5 0.3312 2.3 0.2213 3.1 0.1113 1.2 0.2817 2.5 0.0615 0.4 0.519 0.1 1.1113 0.8 0.4214 0.7 0.3629 0.4 0.5618 0.7 0.1853 1.7 0.9812 1.7 0.2913 0.5 0.6743 1.3 1.0313 1.5 0.2214 0.6 0.4223 0.3 2.2213 0.2 1.6753 0.9 1.8525 0.4 114 0.4 0.6356 1.9 0.4415 0.9 0.2217 1.2 0.1218 1.3 0.116 0.8 0.2137 2.2 0.1919 1.5 0.0737 0.4 1.0719 1.8 0.0638 0.2 1.8827 0.5 0.5729 1.5 0.1578 0.3 2.9234 0.4 1.8857 1.2 0.625 0.7 0.5736 0.5 158 1.2 0.5227 0.7 0.41Page 5Copyright: Math in EnglishPage 6Copyright: Math in EnglishDivisibility rules of 2, 3, 4 and 6Divisibility rules of 3, 5, 6 and 8Are the following numbers divisible by 2, 3, 4 and 6 (no remainders or decimals)?Complete the tables with yes or no.Are the following numbers divisible by 3, 5, 6 and 8 (no remainders or decimals)?Complete the tables with yes or no.128By 2By 3By 4By 6YesNoYesNo1,250By 2By 3By 4By 6734By 2By 3By 4By 6950By 2By 3By 4By 6345By 2By 3By 4By 6750YesNoNoNoBy 2By 3By 4By 6YesNoNoNoBy 2By 3By 4By 6YesNoNoNoBy 2By 3By 4By 6Copyright: Math in English132380308NoYesNoNoBy 3By 5By 6By 8663YesYesNoYesBy 2By 3By 4By 6YesYesYesYesBy 2By 3By 4By 6YesNoYesNoBy 2By 3By 4By 6500NoNoNoNo3,050NoYesNoNoBy 3By 5By 6By 8YesNoYesNoBy 3By 5By 6By 85482,500325YesNoYesNoBy 3By 5By 6By 8Page 7866By 3By 5By 6By 8650NoYesNoNoBy 3By 5By 6By 8NoNoNoNoBy 3By 5By 6By 8NoYesNoNoBy 3By 5By 6By 8Copyright: Math in English176365NoNoNoNo222NoYesNoNoBy 3By 5By 6By 8NoNoNoYesBy 3By 5By 6By 8NoYesNoNoBy 3By 5By 6By 8900YesNoYesNoYesYesYesNo1,700NoYesNoNoPage 8

ExponentsDivisibility rules of 4, 6, 7 and 9Are the following numbers divisible by 4, 6, 7 and 9 (no remainders or decimals)?Complete the tables with yes or no.385By 4By 6By 7By 9NoNoYesNo3,424By 4By 6By 7By 9738By 4By 6By 7By 9284By 4By 6By 7By 9999YesNoNoNoBy 4By 6By 7By 9NoYesNoYesBy 4By 6By 7By 9256YesNoNoNoCalculate2 244 2562 385 25296 362 1643 2754 6423 136 363 440NoNoNoYesBy 4By 6By 7By 9YesNoNoNoBy 4By 6By 7By 9642YesNoNoNo2 324 160NoYesNoNoBy 4By 6By 7By 9YesYesNoNo450By 4By 6By 7By 9NoYesNoYesBy 4By 6By 7By 939 138 6421 27 4922 51227 34388 0131 5135 6255 1254 149 81162 2563 24359 72978 512704 16 2 128 3100 1025 5625 251 213 01312934Page 10Copyright: Math in EnglishSquare roots905 256Calculate the square roots of the following numbers612 64Page 9Copyright: Math in English3 72907 YesNoNoNo27 39,448212 12644Square rootsBetween which 2 whole numbers are the following square roots?110 is between 10 and 11150 is between 12 and 13441 214 2289 1740 is between 6 and 710 is between 3 and 4196 1464 8361 19200 is between 14 and 15550 is between 23 and 2416 4576 24324 1870 is between 8 and 930 is between 5 and 6225 1581 9256 16230 is between 15 and 16270 is between 16 and 17is between 7 and 8500 is between 22 and 23122 is between 11 and 1285 is between 9 and 1060 is between 7 and 8190 is between 13 and 14300 is between 17 and 18424 is between 20 and 2150121 11144 1249 7 136 6169 13400 20529 23484 221Copyright: Math in EnglishPage 11Copyright: Math in EnglishPage 12

Prime factorizationFind the prime factorization of the following numbers.Prime factorizationFind the prime factorization of the following numbers.64 2 x 2 x 2 x 2 x 2 x 2165 3 x 5 x 11210 2 3 5 7220 2 2 5 11250 2x5x5x5375 3x5x5x5278 2 x 139435 3 x 5 x 29125 5x5x5250 2x5x5x5155 5 x 31750 2x3x5x5x5350 2x5x5x798 2x7x7360 2 x 2 x 2 x 3 x 3 x5555 3 x 5 x 37295 5 59140 2x2x5x7195 3 5 x 13440 2 x 2 x 2x 5 x 11100 2x2x5x5175 5x5x7300 2x2x3x5x5200 2 x 2 x 2 x 5 x 5525 3x5x5x7364 2 x 2 x 7 x 13230 88 2 x 2 x 2 x 11110 375 3x5x5x5400 2 x 2 x 2 x 2 x 5 x 5625 5x5x5x52 x 5 x 23654 2 x 3 x 109410 2 x 5 x 412 x 5 x 11194 2 x 97550 2 x 5 x 5 x 11Page 13Copyright: Math in EnglishCalculations with 3 IntegersCalculatePage 14Copyright: Math in EnglishCalculations with 3 IntegersCalculate-12 x 4 x -12 576-13 x 5 x -11 71515 -4 x -10 5525 -3 x -20 8512 7 x -12 -7226415 8 x -20 -145-18 x 2 x -22 792-20 x -4 x -12 -960-25 x 4 -12 -112-25 x -3 x -11 -825-35 x 3 -12 -117-72 x -2 -52 92-12 4 - -12 4-34 x -3 -62 409 900-16 x 2 x -10 320-20 x -5 x-12 x 2 x -11 -14 x -3 x-15 3 - -19 78 336-17 x 2 x -15 510-11 x 4 - -33 -1122 x 2 -12 -15 x 3 - -12 -3311 x 2 -12 101219 -64-14 4 -12 -221012 -38-20 4 -22 -38-19 x -3 - -99 156-12 x 5 x -12 720-22 x -3 - -23 89-12 x 3 x -15 540-15 4 x -12 -6312 -6 x -24 156-10 4 x -10 -509 x -12 94-12 x 3 x -16 576-11 -8 x -12 85-15 x 2 x -11 33020 8 x -10 -60-15 x -3 99 14445 8 x - 5 5-25 x -2 99 149- 4 x-14 -Copyright: Math in EnglishPage 15- 4 xCopyright: Math in English25 -3 x -14 3267Page 16

Order of Operations: BodmasOrder of Operations: BodmasUse the BODMAS rules!Use the BODMAS rules!12 x (4 12) 19212 x (4 2) 3615 x (3 12) 22517 x (9 2) 76.572 - (3 x 15) 2718 9 - 13 1475 - (3 x 13) 3617 4 - 13 823 - 4 x 2 1510 x 3 - 22 812 (2 2) 325 - 5 x 2 1510 x 9 - 22 6836 (4 2) 612 - (4 x 2) 424 (4 2) 612 x 8 10 10618 - (3 x 2) 1224 (8 2) 2.412 x 3 10 4612 x (8 - 7) 12(4 x 8) 0.5 6412 x (14 7) 25215 x (8 - 7) 15(2 x 5) 0.1 10015 x (12 7) 28572 (3 15) 418 9 - 2 021 x (4 12) 745 (3 12) 327 3 - 2 714 x (8 16) 74610 - 3 x 2 415 (4 12) 4520 x 8 2 8022 - 4 x 2 1415 (4 16) 604815 5 x 12 7522 x (3 2) 11020 x (6 2) 6032 5 x 12 9223 x 4 2 12 x (7 2) 10824 x (4 2) 12 8 2 1675 x (4 - 2) 15012 - 4 x 3 025 6 2 2870 x (4 - 2) 14066 - 4 x 3 5472 - 4 x 15 1218 9 3 2130 x 4 12 1055 - 3 x 15 1010 9 3 1325 x 4 10 1023 8 2 2710 3 x 3 1012 - (8 - 2) 623 6 2 2610 2 x 3 1519 - (7 - 2) 14(10 16) 2 1338 4 x 2 4612 - 10 2 7(11 13) 2 1267 4 x 2 7512 - 18 2 3Page 17Copyright: Math in EnglishDivision by 3 digit numbers (whole tens)DividePage 18Copyright: Math in EnglishDivision by 3 digit numbers (whole tens)Divide17,765 330 53 R 275 23,465 270 86 R 24523,987 340 70 R 187 44,987 660 68 R 10718,090 250 72 R 90 15,000 910 16 R 44021,098 560 37 R 378 17,000 310 54 R 26076,980 990 77 R 750 12,511 150 83 R 61 15,865 220 72 R 2544,098 490 89 R 488 16,511 250 66 R 11 66,989 860 77 R 76923,678 430 55 R 2834,009 940 36 R 169 19,999 350 57 R 4976,981 930 82 R 721 45,768 940 48 R 648 19,999 350 57 R 4921,987 430 51 R 57 21,980 380 57 R 320 55,555 660 84 R 11521,112 430 49 R 42 48,987 580 84 R 267 55,555 660 84 R 11587,001 950 91 R 551 44,871 590 76 R 31 23,871 570 41 R 50175,004 950 78 R 904 44,871 590 76 R 31 32,541 570 57 R 5111,765 120 98 R5 48,765 580 84 R 45 14,008 730 19 R 13844,863 520 86 R 143 45,735 570 80 R 135 19,004 730 26 R 24Copyright: Math in EnglishPage 19Copyright: Math in EnglishPage 20

Skills X Topics: Exercise Book Exponents and square roots Prime factorization Division of fractions by decimals . Multiplication of fractions by decimals Integers and order of operations. This workbook is made for grade 5 , 6 or even grade 7 students and can be used as supplemental practice material or remedial math learning material .

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