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Magic Square Puzzles with Answers

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

Answer key

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

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