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Magic Square Puzzles with Answers

Maths tricks trick 12: Magic squares · Set 56 · 40 questions
TalentJR

The trick (Same total): Add up a row (or column) that has no gap: that is the magic total. Add the numbers you can see in the line with the gap. Missing number = magic total − that sum.

NameDateTime takenScore ___ / 40
  1. 1.Magic square (every row, column and diagonal has the same total): 5 12 7 | 10 8 6 | ? 4 11. What is the missing number?
  2. 2.Magic square (every row, column and diagonal has the same total): 13 ? 9 | 8 12 16 | 15 10 11. What is the missing number?
  3. 3.Magic square (every row, column and diagonal has the same total): 14 11 26 | 29 17 5 | ? 23 20. What is the missing number?
  4. 4.Magic square (every row, column and diagonal has the same total): 28 13 16 | 7 19 ? | 22 25 10. What is the missing number?
  5. 5.Magic square (every row, column and diagonal has the same total): 11 21 19 | 25 17 9 | ? 13 23. What is the missing number?
  6. 6.Magic square (every row, column and diagonal has the same total): 8 3 4 | 1 5 9 | 6 7 ?. What is the missing number?
  7. 7.Magic square (every row, column and diagonal has the same total): 8 9 ? | 3 7 11 | 10 5 6. What is the missing number?
  8. 8.Magic square (every row, column and diagonal has the same total): ? 4 19 | 10 16 22 | 13 28 7. What is the missing number?
  9. 9.Magic square (every row, column and diagonal has the same total): 12 ? 14 | 13 11 9 | 8 15 10. What is the missing number?
  10. 10.Magic square (every row, column and diagonal has the same total): 10 9 14 | 15 11 7 | ? 13 12. What is the missing number?
  11. 11.Magic square (every row, column and diagonal has the same total): ? 5 6 | 3 7 11 | 8 9 4. What is the missing number?
  12. 12.Magic square (every row, column and diagonal has the same total): 12 33 18 | 27 21 15 | 24 9 ?. What is the missing number?
  13. 13.Magic square (every row, column and diagonal has the same total): 9 10 5 | 4 8 12 | ? 6 7. What is the missing number?
  14. 14.Magic square (every row, column and diagonal has the same total): 15 ? 11 | 10 14 18 | 17 12 13. What is the missing number?
  15. 15.Magic square (every row, column and diagonal has the same total): 15 13 23 | ? 17 9 | 11 21 19. What is the missing number?
  16. 16.Magic square (every row, column and diagonal has the same total): 17 32 11 | 14 20 ? | 29 8 23. What is the missing number?
  17. 17.Magic square (every row, column and diagonal has the same total): 13 15 ? | 3 11 19 | 17 7 9. What is the missing number?
  18. 18.Magic square (every row, column and diagonal has the same total): 7 ? 3 | 2 6 10 | 9 4 5. What is the missing number?
  19. 19.Magic square (every row, column and diagonal has the same total): 30 ? 18 | 9 21 33 | 24 27 12. What is the missing number?
  20. 20.Magic square (every row, column and diagonal has the same total): 24 14 ? | 10 18 26 | 20 22 12. What is the missing number?
  21. 21.Magic square (every row, column and diagonal has the same total): 4 ? 8 | 14 10 6 | 12 2 16. What is the missing number?
  22. 22.Magic square (every row, column and diagonal has the same total): 21 23 13 | 11 19 ? | 25 15 17. What is the missing number?
  23. 23.Magic square (every row, column and diagonal has the same total): 6 5 10 | 11 ? 3 | 4 9 8. What is the missing number?
  24. 24.Magic square (every row, column and diagonal has the same total): 13 ? 9 | 6 10 14 | 11 12 7. What is the missing number?
  25. 25.Magic square (every row, column and diagonal has the same total): 4 18 8 | 14 10 6 | 12 ? 16. What is the missing number?
  26. 26.Magic square (every row, column and diagonal has the same total): ? 7 22 | 13 19 25 | 16 31 10. What is the missing number?
  27. 27.Magic square (every row, column and diagonal has the same total): 31 10 25 | 16 22 28 | 19 34 ?. What is the missing number?
  28. 28.Magic square (every row, column and diagonal has the same total): 17 15 ? | 27 19 11 | 13 23 21. What is the missing number?
  29. 29.Magic square (every row, column and diagonal has the same total): 13 28 25 | 34 22 10 | ? 16 31. What is the missing number?
  30. 30.Magic square (every row, column and diagonal has the same total): 24 3 18 | 9 15 ? | 12 27 6. What is the missing number?
  31. 31.Magic square (every row, column and diagonal has the same total): 5 4 ? | 10 6 2 | 3 8 7. What is the missing number?
  32. 32.Magic square (every row, column and diagonal has the same total): 22 25 10 | 7 19 31 | 28 ? 16. What is the missing number?
  33. 33.Magic square (every row, column and diagonal has the same total): 6 ? 8 | 7 5 3 | 2 9 4. What is the missing number?
  34. 34.Magic square (every row, column and diagonal has the same total): 18 33 12 | 15 ? 27 | 30 9 24. What is the missing number?
  35. 35.Magic square (every row, column and diagonal has the same total): ? 13 8 | 7 11 15 | 14 9 10. What is the missing number?
  36. 36.Magic square (every row, column and diagonal has the same total): 19 4 25 | 22 16 10 | 7 ? 13. What is the missing number?
  37. 37.Magic square (every row, column and diagonal has the same total): 11 6 7 | ? 8 12 | 9 10 5. What is the missing number?
  38. 38.Magic square (every row, column and diagonal has the same total): 9 ? 17 | 19 11 3 | 5 15 13. What is the missing number?
  39. 39.Magic square (every row, column and diagonal has the same total): 6 7 2 | 1 5 9 | 8 ? 4. What is the missing number?
  40. 40.Magic square (every row, column and diagonal has the same total): 10 31 16 | 25 19 13 | ? 7 28. What is the missing number?

Answer key

  1. 9
  2. 14
  3. 8
  4. 31
  5. 15
  6. 2
  7. 4
  8. 25
  9. 7
  10. 8
  11. 10
  12. 30
  13. 11
  14. 16
  15. 25
  16. 26
  17. 5
  18. 8
  19. 15
  20. 16
  21. 18
  22. 27
  23. 7
  24. 8
  25. 2
  26. 28
  27. 13
  28. 25
  29. 19
  30. 21
  31. 9
  32. 13
  33. 1
  34. 21
  35. 12
  36. 28
  37. 4
  38. 7
  39. 3
  40. 22

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