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Grade 4 Challenge: Magic Squares Worksheet with Answers

Grade 4 (US) · Year 5 (UK) · Class 4 (India) · Math

Unit 8: Going FurtherChallenge PuzzlesChallenge

Finding missing numbers in 3 × 3 magic squares where every row, column and diagonal has the same sum. This free upper elementary worksheet has 12 questions and a full answer key. Print it or save it as a PDF — every answer is checked by code, not guessed.

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Challenge: Magic Squares

Grade 4 · Math

Score___ / 12

Name

Class

Date

Learning goal: Challenge Puzzles

Directions: Look carefully at each picture, then write your answer in the box.

  1. 1

    In this magic square every row, column and diagonal adds up to 78. What is the missing number?

    361162646411621
    Answer
  2. 2

    In this magic square every row, column and diagonal adds up to 93. What is the missing number?

    2651162131411136
    Answer
  3. 3

    In this magic square every row, column and diagonal adds up to 54. What is the missing number?

    242130186151227
    Answer
  4. 4

    In this magic square every row, column and diagonal adds up to 84. What is the missing number?

    438331828384813
    Answer
  5. 5

    In this magic square every row, column and diagonal adds up to 15. What is the missing number?

    49357816
    Answer
  6. 6

    In this magic square every row, column and diagonal adds up to 108. What is the missing number?

    4020484428245232
    Answer
  7. 7

    In this magic square every row, column and diagonal adds up to 63. What is the missing number?

    309241521271833
    Answer
  8. 8

    In this magic square every row, column and diagonal adds up to 87. What is the missing number?

    1745253721331341
    Answer
  9. 9

    In this magic square every row, column and diagonal adds up to 111. What is the missing number?

    4121494537292533
    Answer
  10. 10

    In this magic square every row, column and diagonal adds up to 60. What is the missing number?

    2116232220181719
    Answer
  11. 11

    In this magic square every row, column and diagonal adds up to 87. What is the missing number?

    1745252921331341
    Answer
  12. 12

    In this magic square every row, column and diagonal adds up to 66. What is the missing number?

    2021182226232419
    Answer

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Teacher's comments

Free printable worksheets with answer keys · aethelsystems.com/worksheets/math/4/challenge_magic_square

Answer key (click to show)
  1. 1.31
  2. 2.46
  3. 3.9
  4. 4.23
  5. 5.2
  6. 6.36
  7. 7.12
  8. 8.29
  9. 9.53
  10. 10.24
  11. 11.37
  12. 12.25

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Guides for teaching Challenge: Magic Squares

Long Division Step by Step: An Easy Method (With Remainders)Divide, multiply, subtract, bring down — the four-step routine that makes long division manageable, with worked examples, remainders, zeros and two-digit divisors.What Are the Common Core and NGSS Standards? A Parent's GuideWhat learning standards are, how to read a code like 3.NF.A.1 or MS-PS1-2, what each grade covers in Math, English and Science, and how to use them at home.How to Help Your Child with Math Homework (Without Doing It for Them)Questions to ask instead of answers to give, what to do when the school's method looks different from yours, and how to handle frustration.

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