Math Practice: Grades 5–6

Math Practice: Grades 5–6Table of ContentsAdditionAdding Multi-Digit Numbers.4Multi-Digit Column Addition.5SubtractionSubtracting One- and Two-Digit Numbers .7Subtracting Two- and Three-Digit Numbers .8Subtracting Multi-Digit Numbers .9MultiplicationMultiplying One- and Two-Digit Numbers . 10Multiplying Two-Digit Numbers.11Multiplying Multi-Digit Numbers.12DivisionDivision with One-Digit Quotients . 14Division with Two-Digit Quotients . 16Division with One- and Two-Digit Quotientsand Remainders .17Division with Two- and Three-Digit Quotientsand Remainders . 18FractionsUnderstanding Fractions .19Making Fractions Equivalent . 20Comparing Fractions . 21Finding the Greatest Common Factor. 22Writing Fractions in Simplest Form . 23Writing Mixed Numbers as Improper Fractions. 24Writing Improper Fractions as Mixed Numbers. 26Fractions Review . 28Finding the Least Common Denominator. 29Adding Fractions with Like Denominators . 30Adding Fractions with Unlike Denominators . 32Adding Mixed Numbers with Like Denominators . 34Adding Mixed Numbers with Unlike Denominators . 36Subtracting Fractions with Like Denominators . 38Subtracting Fractions with Unlike Denominators . 40Subtracting Fractions from Whole Numbers . 42Subtracting Mixed Numbers withLike Denominators . 44Subtracting Mixed Numbers withUnlike Denominators. 45Multiplying Fractions . 46Multiplying Fractions and Whole Numbers . 50Multiplying Mixed Numbers and Whole Numbers. 53Multiplying Mixed Numbers . 55Finding the Reciprocal . 57Dividing Fractions . 58Dividing Fractions and Whole Numbers . 59Dividing Fractions and Mixed Numbers . 60Dividing Mixed Numbers . 62Multiplying and Dividing Fractions Review . 64Decimals and PercentsUnderstanding Decimals . 66Writing Decimals as Fractions . 68Writing Fractions as Decimals . 72Adding Decimals.74Subtracting Decimals . 76Multiplying Decimals . 78Dividing Decimals . 80Finding Percents . 82Fractions, Decimals, and Percents Review . 85GeometryFinding the Perimeter of a Polygon . 87Finding the Area of a Rectangle . 88Finding the Area of a Triangle . 89Finding the Volume of a Rectangular Prism. 90Labeling Lines, Line Segments, and Rays . 91Naming and Measuring Angles . 92Finding the Circumference of a Circle . 93Labeling Bar and Circle Graphs . 94Labeling Line Graphs . 95Graphing Coordinates. 96Number Patterns . 99Solving for Variables .100Statistics and Probability . 102Mean, Median, Mode, and Range . 103Answer Key.104 2009, Carson-Dellosa Publishing Company, Inc., Greensboro, North Carolina 27425. The purchase of this material entitles the buyerto reproduce worksheets and activities for classroom use only—not for commercial resale. Reproduction of these materials for anentire school or district is prohibited. No part of this book may be reproduced (except as noted above), stored in a retrieval system,or transmitted in any form or by any means (mechanically, electronically, recording, etc.) without the prior written consent ofCarson-Dellosa Publishing Co., Inc.Printed in the USA All rights reserved.ISBN 978-1-60418-740-3

Ready-to-Use Ideas and Activities1 590 6 2.4 TS159 36658 986The only way that students will truly be able to manipulate numbers and have access tohigher-level math concepts is to learn the basic facts and understand fundamental concepts,such as counting, addition, subtraction, multiplication, and division.The following activities can help reinforce basic skills. These activities include a multisensoryapproach to helping students understand the concepts being introduced. Separate the flash cards provided in the back of this book. Place the “equal”sign, “greater than” sign, and “lesser than” sign flash cards on a flat surface.Then, place two flash cards with equations on the flat surface. Have studentsuse the sign flash cards to show whether the two equations are equal, oneequation is greater than the other equation, or one equation is less than theother equation. Repeat with two different equation flash cards. 2 CD-104322 Carson-Dellosa

Ready-to-Use Ideas and Activities Use a pair of dice and anything that can act as a three-minute timer(a timer, a stopwatch, a watch with a second hand, etc.), or decide on acertain number of rounds of play. Have each student roll the dice andmultiply the numbers on the top faces. Each correct answer is worth onepoint. The student with the most correct answers after a specific periodof time or number of rounds wins. For example, a game may consist ofsix rounds. The student with the most points after six rounds wins.Alternately, the game can be played with division with remainders. As players memorize answers and gain confidence, add additional dice.When using more than two dice, have players state the problem aloudand answer as they go. For example, if the dice show 5, 2, 6, and 4, theplayer would say, “5 times 2 is 10, and 10 times 6 is 60, and 60 times 4is 240.” Create a bingo sheet with five rows and five columns of blank squares.Write FREE in the middle square. Give one copy to each student. Writethe flash card equations where they can be seen and have studentschoose 24 of the equations and write them in the empty spaces of theirbingo cards in any order. When students have finished writing on theircards, gather the flash cards into a deck. Call out the equations one at atime. Any student who has an equation that you call out should make anX through the equation on their card to cross it out. The student whocrosses out five equations in a row first (horizontally, vertically, ordiagonally) wins the game by calling out, “Bingo!” Then, have studentssolve the equations on their bingo cards. Play another version of this game by writing answers on the bingo sheetand calling out the equations. To extend the game, continue playinguntil a student crosses out all of the answers on her bingo sheet.CD-104322 Carson-Dellosa3

NameDateAdding Multi-Digit NumbersTotal Problems:Problems Correct:Solve each problem. Regroup when necessary.1.56 322.125 8323.4,287 9074.7.687 4078. 1,2879.1,551 3,28710.13. 3,572 26119.46,031 3,275 4062,703 9,00632,578 10,7815.21,027 68,5096.11.95 5912.2417 81531 45014.4,692 7,84115.54,392 16. 27 62,158 4217.501 22518. 5,98320.35 8021.387 12223.8,762 5,13724.22. 6,401 578 74240,226 37,822CD-104322 Carson-Dellosa

NameDateMulti-Digit Column AdditionTotal Problems:Problems Correct:Solve each problem. Regroup when necessary.1.6.234862 3352.1,7678,403 2,7593. 50,2515,5704,867 3,2107. 69,7218. 5,54511. 8,609786 5216.2,531682550 494,065 13 3394263219 4512. 7,84013. 87517. 41618.2,129616 53502 22CD-104322 Carson-Dellosa934 171,2752,654 3,0234. 67,10753,00142,902 1079. 486582 2314.6,3571,876 5,07219. 78,6954,072 3,2105.10.20187384 4161,2574,380 9,62115. 52,10347,339 85720. 8,7497,263521 845

NameDateMulti-Digit Column AdditionSolve each problem. Regroup when necessary.1. 4212.6. 33,2017. 1,0198576354 75,7847,206628552 1611. 18,7823,7552,262187 555652,10543,7856,1123,953 4,18259342242 5912. 70,15239,15770,062345228 12Total Problems:Problems Correct:3. 87,1524. 5,3218. 27,8629. 68,4315,8471,376209440 32850,31162,1095,450 6,21913.52,10643,7856,1123,953 4,1825. 78,104876524100 7618,9055,6293,247 43255,09518,702457212 1214. 6,50143082295 421510. 8,763257812404 9515.83,16422,90018,4424,963527 89CD-104322 Carson-Dellosa

NameDateSubtracting One- and Two-Digit NumbersTotal Problems:Problems Correct:Solve each problem. Regroup when necessary.1. 782. 253. 217. 228. 199.– 6– 813. 10– 319.92– 18– 7– 64.54– 455.17– 1662– 2710.95– 6711.60– 1012. 68– 56.56– 4– 914.85– 6715.62– 5616. 3217. 7018. 7120.38– 2721. 4822. 8423. 3424.CD-104322 Carson-Dellosa– 8– 9– 7– 6– 624– 429– 177

NameDateSubtracting Two- and Three-Digit NumbersTotal Problems:Problems Correct:Solve each problem. Regroup when necessary.1. 2862. 9917. 9978.962– 5099.13.875– 44514.940– 18515.19.876– 65220.125– 116– 57– 618– 85603– 5716. 382827– 69411. 18612. 863307– 28316. 52517. 41518.786– 61621. 40022. 32123.521– 43124.785– 5043.875– 4074.497– 322625– 59210.24– 88– 63– 395.– 52– 78– 96– 54CD-104322 Carson-Dellosa

NameDateSubtracting Multi-Digit NumbersTotal Problems:Problems Correct:Solve each problem. Regroup when necessary.251. 8,9072. 4,3013. 22,1074.86,946– 71,8075. 302,1756. 6,2177. 5,6818. 31,2579.47,810– 22,51610. 496,50211. 8,35712. 7,66213. 46,68914.25,300– 18,70415. 187,64516. 1,35817. 5,43218. 76,57119. 6,21921. 52,39822.––––52257832– 1,028– 225– 309– 447– 15186,107– 83,279CD-104322 Carson-Dellosa– 3,988– 4,071– 5,672– 6,22923.36,875– 31,787–24.5263,128– 57,281– 68,189– 10,498– 53,21720. 8,719– 58225.94,422– 5,3499

NameDateMultiplying One- and Two-Digit NumbersTotal Problems:Problems Correct:Solve each problem. Regroup when necessary.6 92.5 33.11 44.12 55.9 36.4 77. 108.8 89.10 410.7 811.8 912.5 85 514.12 1215.4 516. 1117.11 1018. 1219. 1120.7 921.10 1022.10 923.10 84 326.5 727.9 628.11 1229.1. 313. 925.10 26 330 424.11 830.6 6CD-104322 Carson-Dellosa

NameDateMultiplying Two-Digit NumbersTotal Problems:Problems Correct:Solve each problem. Regroup when necessary.1.27 132.15 473.84 194.58 615.45 626.87 937.22 388.82 279.33 5110.46 4111.47 2512.24 4313.42 5114.87 6515.48 6216.68 5917.65 9218.23 5019.83 6020.72 57CD-104322 Carson-Dellosa2011

Answer KeyNameDateNameAdding Multi-Digit Numbers1.56 322.887.687 4071,09413. 3,572 2613,83319.6,031 3,2759,306125 8323.9575,1948. 1,2879. 4061,69314.4,692 7,84135 801,551 3,28715.2,703 9,0064.10.21.32,578 10,78154,392 16. 27 62,158 42387 12250921,027 68,50911.9895 59981501 22517.6918. 5,983 74272622. 6,40123. 5786,979531 45012.1546,7258,762 5,13724.13,89940,226 37,8221.234862 3352.1,4316.5,5704,867 3,210 78652 16.CD-104322 Carson-DellosaNameDateMulti-Digit Column AdditionSolve each problem. Regroup when necessary.1. 4218576354 71,4022.52,10543,7856,1123,953 4,182110,1373. 87,1525,8471,376209440 32895,3525,7847,206628552 1647,3877. 1,0198. 27,8622,135151,95159342242 5950,31162,1095,450 6,21925,541610412. 70,15239,15770,062345228 12179,95613.52,10643,7856,1123,953 4,182110,1389. 48663219 451,09113. 87514.934 171,82617. 41618.502 229404. 5,321155. 78,104876524100 7618,9055,6293,247 4326,89755,09518,702457212 12142,90943082295 427,89047,339 857100,29985,97720. 8,7497,26352184 16,6175DateSubtracting One- and Two-Digit NumbersTotal Problems:Problems Correct:Solve each problem. Regroup when necessary.1. 782. 253. 21721816– 6– 7– 54.54– 455.95– 6711.917– 166.12456– 452106,3179. 68,43114. 6,50115. 52,1034,072 3,210NameTotal Problems:Problems Correct:6,3571,876 5,07219. 78,6956,9521,2574,380 9,62115,25813,3051,2752,654 3,023187384 41698710.582 236,24110,6385.163,1178. 5,5454,065132,129616 537. 228. 19141310. 8,763– 69.62– 2710.352860– 1012. 68– 95059257812404 9510,33113. 1014.73,7552,262187 55553,00142,902 10720CD-104322 Carson-Dellosa– 311. 18,7824. 67,1073394250,63212. 7,8402,531682550 49– 86. 33,201 73,7999,44778,0483. 50,2517. 69,72113,64711. 8,6091,7678,403 2,75912,9293,8124Total Problems:Problems Correct:Solve each problem. Regroup when necessary.17 287 90724Total Problems:Problems Correct:Solve each problem. Regroup when necessary.DateMulti-Digit Column Addition15.83,16422,90018,4424,963527 89130,085CD-104322 Carson-Dellosa19.92– 187485– 6715.62– 5616. 3217. 7018. 7123646738– 2721. 4822. 8423. 344077281820.11CD-104322 Carson-Dellosa6– 8– 9– 7– 6– 6– 424.29– 17127CD-104322 Carson-Dellosa