Math Practice: Grades 4–5 Table of Contents Addition Adding One- and Two-Digit Numbers ..............................4 Adding Two-Digit Numbers..................................................5 Adding Three- and Four-Digit Numbers ..........................6 Three-Digit Column Addition ..............................................8 Multi-Digit Column Addition................................................9 Subtraction Subtracting One-Digit Numbers from Two-Digit Numbers ............................................................ 10 Subtracting Multi-Digit Numbers .....................................11 Multiplication Multiplying One- and Two-Digit Numbers ....................13 Multiplying One- and Three-Digit Numbers ............... 18 Multiplying One- and Four-Digit Numbers ...................19 Multiplying Two-Digit Numbers....................................... 20 Multiplying Two- and Three-Digit Numbers................ 21 Multiplying Three-Digit Numbers ................................... 22 Division Division with One-Digit Quotients .................................. 23 Division with Two-Digit Quotients .................................. 24 Division with Three-Digit Quotients ............................... 25 Division with One- and Two-Digit Quotients and Remainders .................................................................. 26 Division with Two-Digit Quotients and Remainders .................................................................. 27 Division with Three-Digit Quotients and Remainders .................................................................. 28 Division with Two-Digit Divisors ..................................... 29 Division with Two-Digit Divisors and Remainders..... 30 Fractions Learning About Fractions ................................................... 32 Reducing Fractions ............................................................... 33 Comparing Fractions ............................................................ 35 Writing Improper Fractions as Mixed Numbers.......... 36 Writing Mixed Numbers as Improper Fractions.......... 40 Making Fractions Equivalent ............................................. 42 Adding Fractions with Like Denominators ................... 45 Adding Mixed Numbers with Like Denominators ..... 47 Adding Fractions with Unlike Denominators .............. 49 Adding Mixed Numbers with Unlike Denominators ... 51 Adding Fractions and Mixed Numbers Review........... 53 Subtracting Fractions with Like Denominators ......... 55 Subtracting Fractions from Whole Numbers ............... 57 Subtracting Mixed Numbers with Like Denominators ............................................................. 59 Subtracting Fractions with Unlike Denominators ...... 61 Subtracting Mixed Numbers with Unlike Denominators......................................................... 63 Multiplying Fractions ........................................................... 65 Multiplying Fractions and Whole Numbers ................. 67 Multiplying Mixed Numbers and Whole Numbers.... 70 Multiplying Mixed Numbers .............................................. 72 Decimals Adding Decimals.....................................................................74 Subtracting Decimals ........................................................... 76 Multiplying Decimals ........................................................... 78 Dividing Decimals ................................................................. 79 Writing Decimals as Fractions ........................................... 81 Writing Fractions as Decimals ........................................... 83 Writing Fractions as Decimals and Decimals as Fractions ........................................................................... 84 Geometry Learning About Lines and Line Segments.................... 85 Naming Angles ....................................................................... 86 Naming Polygons .................................................................. 87 Naming Circles and Polygons............................................ 88 Standard and Metric Length.............................................. 89 Standard Length .................................................................... 90 Metric Length.......................................................................... 91 Standard Capacity ................................................................. 92 Metric Capacity ...................................................................... 93 Standard Mass ........................................................................ 94 Metric Mass .............................................................................. 95 Finding the Perimeter .......................................................... 96 Finding the Area .................................................................... 97 Review Geometry and Measurement Review ............................ 98 Cumulative Review .............................................................100 Answer Key...........................................................................104 © 2009, Carson-Dellosa Publishing Company, Inc., Greensboro, North Carolina 27425. The purchase of this material entitles the buyer to reproduce worksheets and activities for classroom use only—not for commercial resale. Reproduction of these materials for an entire 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 of Carson-Dellosa Publishing Co., Inc. Printed in the USA • All rights reserved. ISBN 978-1-60418-739-7 Ready-to-Use Ideas and Activities 55_ _ 3 __ 7 r1 215 7 ×8 28 × 3 The only way that students will truly be able to manipulate numbers and have access to higher-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 multisensory approach 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 student use the sign flash cards to show whether the two equations are equal, one equation is greater than the other equation, or one equation is less than the other equation. Repeat with two different equation flash cards. = 2 > < CD-104321 • © 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 a certain number of rounds of play. Have each student roll the dice and multiply the numbers on the top faces. Each correct answer is worth one point. The student with the most correct answers after a specific period of time or number of rounds wins. For example, a game may consist of six 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 aloud and answer as they go. For example, if the dice show 3, 6, and 2, the player would say, “3 times 6 is 18 and 18 times 2 is 36.” • 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. Write the flash card problems where they can be seen and have students choose 24 of the equations and write them in the empty spaces of their bingo cards in any order. When students have finished writing on their cards, gather the flash cards into a deck. Call out the equations one at a time. Any student who has an equation that you call out should make an X through the equation on their card to cross it out. The student who crosses out five equations in a row first (horizontally, vertically, or diagonally) wins the game by calling out, “Bingo!” To extend the game, you can continue playing until a student crosses out all of the words on their bingo card. • Play another version of this game by writing answers on the bingo sheet and calling out the problems. To extend the game, continue playing until a student crosses out all of the problems on her bingo sheet. CD-104321 • © Carson-Dellosa 3 Name Date Adding One- and Two-Digit Numbers Total Problems: Problems Correct: Solve each problem. Regroup when necessary. 30 1. 53 + 6 2. 25 + 5 3. 72 + 6 4. 22 + 6 5. 56 + 4 6. 14 + 9 7. 42 + 7 8. 17 + 9 9. 85 + 4 10. 45 + 3 11. 65 + 8 12. 38 + 6 13. 25 + 3 14. 10 + 2 15. 97 + 2 16. 69 + 8 17. 17 + 7 18. 51 + 7 19. 36 + 2 20. 49 + 8 21. 65 + 1 22. 72 + 4 23. 26 + 7 24. 62 + 4 25. 41 + 7 26. 65 + 9 27. 39 + 4 28. 87 + 9 29. 30 + 8 30. 43 + 5 4 CD-104321 • © Carson-Dellosa Name Date Adding Two-Digit Numbers Total Problems: Problems Correct: Solve each problem. Regroup when necessary. 30 1. 36 + 54 2. 53 + 53 3. 12 + 24 4. 51 + 19 5. 28 + 27 6. 91 + 33 7. 42 + 17 8. 22 + 16 9. 60 + 32 10. 40 + 30 11. 53 + 10 12. 25 + 25 13. 85 + 12 14. 36 + 33 15. 48 + 72 16. 92 + 86 17. 43 + 21 18. 57 + 31 19. 99 + 27 20. 79 + 16 21. 63 + 49 22. 83 + 25 23. 78 + 65 24. 87 + 14 25. 25 + 15 26. 42 + 18 27. 89 + 11 28. 47 + 39 29. 90 + 62 30. 92 + 24 CD-104321 • © Carson-Dellosa 5 Name Date Adding Three- and Four-Digit Numbers Solve each problem. Regroup when necessary. Total Problems: Problems Correct: 1. 4,237 2. 9,841 3. 3,011 4. 4,472 5. 4,870 6. 5,968 7. 8,211 8. 8,432 9. 5,072 10. 6,580 11. 6,010 12. 9,076 13. 6,509 14. 2,389 15. 3,653 16. 7,546 17. 1,120 18. 6,029 19. 1,760 20. 4,661 21. 4,870 22. 2,436 23. 5,843 24. 7,352 25. 2,704 + 201 + 525 + 902 + 561 + 106 6 + 520 + 345 + 153 + 782 + 618 + 654 + 137 + 225 + 367 + 492 + 689 + 549 + 422 + 195 + 254 25 + 287 + 871 + 321 + 128 + 202 CD-104321 • © Carson-Dellosa Name Date Adding Three- and Four-Digit Numbers Solve each problem. Regroup when necessary. Total Problems: Problems Correct: 1. 1,526 2. 3,804 3. 4,358 4. 5,145 5. 7,321 6. 4,159 7. 6,943 8. 6,200 9. 2,960 10. 2,635 11. 4,963 12. 2,488 13. 4,650 14. 4,540 15. 2,564 16. 6,879 17. 3,977 18. 2,456 19. 1,865 20. 3,245 21. 1,258 22. 2,655 23. 5,651 24. 6,441 25. 3,251 + 718 + 936 + 173 + 316 + 648 + 207 + 309 + 395 + 478 + 165 CD-104321 • © Carson-Dellosa + 885 + 356 + 121 + 522 + 786 + 788 + 785 + 124 + 750 + 230 25 + 992 + 223 + 852 + 321 + 775 7 Name Date Three-Digit Column Addition Total Problems: Problems Correct: Solve each problem. Regroup when necessary. 1. 453 125 + 678 2. 143 225 + 336 3. 612 717 + 246 4. 818 529 332 + 106 5. 533 397 864 + 702 6. 987 642 + 325 7. 942 787 + 527 8. 240 135 + 167 9. 954 623 873 + 480 10. 405 612 935 + 360 11. 202 169 + 584 12. 609 333 + 175 13. 892 357 + 418 14. 987 789 102 + 201 15. 220 115 780 + 650 16. 376 825 + 916 17. 210 422 + 871 18. 275 245 + 106 19. 123 497 675 + 542 20. 771 860 550 + 137 21. 500 627 + 220 22. 904 409 + 105 23. 318 771 + 522 24. 901 801 710 + 410 25. 147 257 662 + 770 8 25 CD-104321 • © Carson-Dellosa Name Date Multi-Digit Column Addition Total Problems: Problems Correct: Solve each problem. Regroup when necessary. 20 1. 2,671 2. 7,732 3. 5,306 4. 8,214 5. 3,850 6. 6,210 7. 2,591 8. 9,200 9. 2,560 10. 3,275 406 125 + 52 5,332 407 + 15 806 325 + 54 2,624 106 + 33 525 24 + 92 408 146 + 3 248 200 + 17 + 17 62 54 403 35 + 16 3,902 7,340 + 803 11. 4,305 12. 3,084 13. 8,430 14. 3,243 15. 9,876 16. 4,321 17. 621 18. 6,035 19. 3,298 20. 9,210 307 34 + 67 403 809 + 21 192 764 + 26 503 97 + 7 CD-104321 • © Carson-Dellosa 217 2,560 + 32 532 172 + 63 8,395 731 + 43 867 144 + 54 1,445 324 + 225 726 50 + 4 9 Name Date Subtracting One-Digit Numbers from Two-Digit Numbers Total Problems: Problems Correct: Solve each problem. Regroup when necessary. 30 1. 35 – 5 2. 62 – 9 3. 51 – 7 4. 64 – 3 5. 25 – 4 6. 73 – 2 7. 42 – 7 8. 47 – 8 9. 62 – 5 10. 87 – 5 11. 88 – 7 12. 86 – 9 13. 18 – 9 14. 25 – 3 15. 84 – 5 16. 97 – 4 17. 95 – 4 18. 32 – 8 19. 27 – 3 20. 33 – 5 21. 92 – 9 22. 92 – 0 23. 89 – 0 24. 75 – 3 25. 56 – 6 26. 59 – 8 27. 49 – 6 28. 76 – 7 29. 32 – 6 30. 53 – 2 10 CD-104321 • © Carson-Dellosa Name Date Subtracting Multi-Digit Numbers Solve each problem. Regroup when necessary. Total Problems: Problems Correct: 25 1. 302 – 25 2. 800 3. 154 – 109 4. 2,487 5. 4,176 6. 604 – 52 7. 133 – 54 8. 387 – 275 9. 5,879 10. 5,912 11. 479 – 63 12. 175 – 87 13. 488 – 243 14. 1,250 15. 7,895 16. 527 – 49 17. 992 – 36 18. 767 – 516 19. 6,840 20. 1,786 21. 275 – 25 22. 689 – 26 23. 879 – 437 24. 3,807 25. 4,834 – 72 CD-104321 • © Carson-Dellosa – 333 – 631 – 758 – 522 – 416 – 328 – 756 – 167 – 250 – 956 11 Answer Key Name Date Name Adding One- and Two-Digit Numbers Total Problems: Problems Correct: Solve each problem. Regroup when necessary. 1. 53 + 6 2. 42 + 7 8. 25 + 3 14. 36 + 2 20. 41 + 7 26. 59 7. 48 9. 10 + 2 15. 49 + 8 21. 65 + 9 27. 85 + 4 10. 97 + 2 16. 65 + 1 22. 39 + 4 28. 22 + 6 5. 45 + 3 11. 69 + 8 17. 72 + 4 23. 87 + 9 29. 28 65 + 8 12. 17 + 7 18. 26 + 7 24. 96 30 + 8 30. 38 4 1. 38 + 6 7. 51 + 7 13. 62 + 4 19. 43 + 5 25. Date Adding Three- and Four-Digit Numbers Solve each problem. Regroup when necessary. 2. 42 + 17 8. 85 + 12 14. 99 + 27 20. 25 + 15 26. 3. 22 + 16 9. 36 + 33 15. 79 + 16 21. 42 + 18 27. 60 + 32 10. 48 + 72 16. 63 + 49 22. 89 + 11 28. 25 5. 40 + 30 11. 92 + 86 17. 83 + 25 23. 47 + 39 29. 53 + 10 12. 43 + 21 18. 78 + 65 24. 90 + 62 30. 152 91 + 33 25 + 25 50 57 + 31 88 143 86 87 + 14 101 92 + 24 116 5 CD-104321 • © Carson-Dellosa Date Adding Three- and Four-Digit Numbers Solve each problem. Regroup when necessary. Total Problems: Problems Correct: 1. 4,237 2. 9,841 3. 3,011 4. 4,472 5. 4,870 1. 1,526 2. 3,804 3. 4,358 4. 5,145 5. 7,321 4 438 10 361 3 665 5 161 5 157 2 244 4 011 5 243 5 933 8 313 6. 5,968 7. 8,211 8. 8,432 9. 5,072 10. 6,580 6. 4,159 7. 6,943 8. 6,200 9. 2,960 10. 2,635 6 493 8 556 8 569 5 621 7 451 5 095 7 252 6 556 3 745 2 858 11. 6,010 12. 9,076 13. 6,509 14. 2,389 15. 3,653 11. 4,963 12. 2,488 13. 4,650 14. 4,540 15. 2,564 6 912 9 229 6 734 2 811 3 974 5 136 2 883 4 771 4 664 3 416 16. 7,546 17. 1,120 18. 6,029 19. 1,760 20. 4,661 16. 6,879 17. 3,977 18. 2,456 19. 1,865 20. 3,245 8 107 1 902 6 396 1 955 4 789 7 195 4 455 2 978 2 615 3 566 21. 4,870 22. 2,436 23. 5,843 24. 7,352 25. 2,704 21. 1,258 22. 2,655 23. 5,651 24. 6,441 25. 3,251 4 976 3 054 6 335 7 606 2 906 1 906 2 820 6 437 6 671 4 026 + 201 + 525 + 902 + 561 + 106 6 + 520 + 345 + 153 + 782 + 618 + 654 + 137 + 225 + 367 + 492 + 689 + 549 + 422 + 195 + 254 + 287 + 871 + 321 + 128 + 202 CD-104321 • © Carson-Dellosa 30 124 64 108 100 6. 63 178 112 28 + 27 55 70 Name Total Problems: Problems Correct: 51 + 19 70 120 95 60 4. 92 69 126 12 + 24 36 38 97 40 53 + 53 106 59 66 48 36 + 54 90 58 CD-104321 • © Carson-Dellosa Name 104 14 + 9 44 33 Total Problems: Problems Correct: Solve each problem. Regroup when necessary. 23 24 76 43 6. 73 77 66 56 + 4 60 48 99 57 74 4. 89 12 38 25. 17 + 9 72 + 6 78 26 28 19. 3. 30 49 13. 25 + 5 30 Date Adding Two-Digit Numbers + 718 + 936 + 173 + 316 + 648 + 207 + 309 + 395 + 478 + 165 CD-104321 • © Carson-Dellosa + 885 + 356 + 121 + 522 + 786 + 788 + 785 + 124 + 750 + 230 25 + 992 + 223 + 852 + 321 + 775 7 CD-104321 • © Carson-Dellosa Answer Key Name Date Name Three-Digit Column Addition 1. 453 125 + 678 2. 1 256 6. 987 642 + 325 7. 202 169 + 584 12. 942 787 + 527 17. 2 117 9. 542 609 333 + 175 14. 1 667 210 422 + 871 18. 1 503 5. 954 623 873 + 480 10. 19. 626 1. 2,671 406 125 + 52 405 612 935 + 360 500 627 + 220 22. 1 347 904 409 + 105 23. 1 418 318 771 + 522 24. 1 611 2. 42 – 7 8. 18 – 9 14. 27 – 3 20. 56 – 6 26. 30 7. 5 947 8 679 4 304 6. 6,210 7. 2,591 8. 9,200 9. 2,560 10. 3,275 50 9. 25 – 3 15. 33 – 5 21. 59 – 8 27. 62 – 5 10. 84 – 5 16. 92 – 9 22. 49 – 6 28. 43 64 – 3 5. 87 – 5 11. 97 – 4 17. 92 – 0 13. 8,430 14. 3,243 15. 9,876 771 860 550 + 137 4 713 4 066 11 239 12 412 11 870 18. 6,035 19. 3,298 20. 9,210 307 34 + 67 403 809 + 21 147 257 662 + 770 23. 76 – 7 29. 69 10 CD-104321 • © Carson-Dellosa 192 764 + 26 217 2,560 + 32 8,395 731 + 43 1,445 324 + 225 5 554 17. 621 503 97 + 7 1 228 532 172 + 63 6 802 867 144 + 54 4 363 + 726 50 4 9 990 1 836 25 – 4 6. 9 CD-104321 • © Carson-Dellosa 30 88 – 7 12. 95 – 4 18. 89 – 0 24. 32 – 6 30. 26 Total Problems: Problems Correct: Solve each problem. Regroup when necessary. 73 – 2 1. 86 – 9 6. 32 – 8 11. 75 – 3 16. 53 – 2 21. 604 – 52 7. 479 – 63 12. 527 – 49 17. 275 – 25 22. – 72 133 – 54 8. 175 – 87 13. 992 – 36 18. 689 – 26 23. 79 88 478 250 3. 728 416 72 CD-104321 • © Carson-Dellosa 2. 800 552 24 51 302 – 25 277 77 89 Date Subtracting Multi-Digit Numbers 71 91 92 3,902 7,340 + 803 12. 3,084 81 93 + 17 62 54 11. 4,305 21 82 83 408 146 + 3 Name 61 79 28 51 4. 57 22 24 25. 47 – 8 51 – 7 2,624 106 + 33 1 765 Total Problems: Problems Correct: 44 39 9 19. 3. 53 35 13. 62 – 9 403 35 16 15 320 Date 35 – 5 + 8 917 5,332 407 + 15 CD-104321 • © Carson-Dellosa 1. 5. 3,850 2 693 25. Solve each problem. Regroup when necessary. 248 200 + 17 9 757 901 801 710 + 410 Subtracting One-Digit Numbers from Two-Digit Numbers 4. 8,214 2 318 2 822 Name 525 24 + 92 5 354 20. 8 3. 5,306 3 254 16. 4,321 21. 806 325 + 54 11 964 123 497 675 + 542 1 837 2. 7,732 20 220 115 780 + 650 15. 2 079 275 245 + 106 533 397 864 + 702 2 312 987 789 102 + 201 Total Problems: Problems Correct: Solve each problem. Regroup when necessary. 2 496 2 930 892 357 + 418 13. 818 529 332 + 106 1 785 240 135 + 167 8. 1 117 376 825 + 916 4. 1 575 2 256 955 16. 612 717 + 246 3. 704 1 954 11. 143 225 + 336 25 Total Problems: Problems Correct: Solve each problem. Regroup when necessary. Date Multi-Digit Column Addition 663 CD-104321 • © Carson-Dellosa 154 – 109 4. 2,487 5. 4,176 45 2 154 3 848 387 – 275 9. 5,879 10. 5,912 112 5 248 5 156 488 – 243 14. 1,250 15. 7,895 492 7 728 767 – 516 19. 6,840 20. 1,786 251 6 318 1 536 879 – 437 24. 3,807 25. 4,834 3 391 3 878 245 956 25 442 – 333 – 631 – 758 – 522 – 416 – 328 – 756 – 167 – 250 – 956 11 105
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