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Magic Square Puzzles with Answers

Maths tricks trick 12: Magic squares · Set 59 · 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): 11 6 13 | ? 10 8 | 7 14 9. What is the missing number?
  2. 2.Magic square (every row, column and diagonal has the same total): ? 16 11 | 14 12 10 | 13 8 15. What is the missing number?
  3. 3.Magic square (every row, column and diagonal has the same total): 2 7 6 | 9 5 1 | 4 3 ?. What is the missing number?
  4. 4.Magic square (every row, column and diagonal has the same total): 15 25 11 | 13 17 ? | 23 9 19. What is the missing number?
  5. 5.Magic square (every row, column and diagonal has the same total): 19 4 ? | 22 16 10 | 7 28 13. What is the missing number?
  6. 6.Magic square (every row, column and diagonal has the same total): 29 14 17 | 8 20 ? | 23 26 11. What is the missing number?
  7. 7.Magic square (every row, column and diagonal has the same total): 20 17 32 | ? 23 11 | 14 29 26. What is the missing number?
  8. 8.Magic square (every row, column and diagonal has the same total): 2 9 4 | 7 5 3 | 6 1 ?. What is the missing number?
  9. 9.Magic square (every row, column and diagonal has the same total): 15 8 13 | 10 12 14 | 11 ? 9. What is the missing number?
  10. 10.Magic square (every row, column and diagonal has the same total): ? 15 14 | 17 13 9 | 12 11 16. What is the missing number?
  11. 11.Magic square (every row, column and diagonal has the same total): 18 3 24 | ? 15 9 | 6 27 12. What is the missing number?
  12. 12.Magic square (every row, column and diagonal has the same total): ? 32 17 | 26 20 14 | 23 8 29. What is the missing number?
  13. 13.Magic square (every row, column and diagonal has the same total): 13 ? 7 | 10 16 22 | 25 4 19. What is the missing number?
  14. 14.Magic square (every row, column and diagonal has the same total): 16 9 14 | ? 13 15 | 12 17 10. What is the missing number?
  15. 15.Magic square (every row, column and diagonal has the same total): 25 4 ? | 10 16 22 | 13 28 7. What is the missing number?
  16. 16.Magic square (every row, column and diagonal has the same total): 11 9 19 | 21 13 5 | 7 ? 15. What is the missing number?
  17. 17.Magic square (every row, column and diagonal has the same total): 9 16 ? | 14 12 10 | 13 8 15. What is the missing number?
  18. 18.Magic square (every row, column and diagonal has the same total): 8 ? 14 | 23 17 11 | 20 5 26. What is the missing number?
  19. 19.Magic square (every row, column and diagonal has the same total): ? 7 2 | 1 5 9 | 8 3 4. What is the missing number?
  20. 20.Magic square (every row, column and diagonal has the same total): 9 23 13 | 19 15 11 | ? 7 21. What is the missing number?
  21. 21.Magic square (every row, column and diagonal has the same total): 11 6 13 | 12 10 8 | 7 14 ?. What is the missing number?
  22. 22.Magic square (every row, column and diagonal has the same total): 27 12 33 | 30 24 18 | ? 36 21. What is the missing number?
  23. 23.Magic square (every row, column and diagonal has the same total): 9 19 5 | 7 11 15 | 17 ? 13. What is the missing number?
  24. 24.Magic square (every row, column and diagonal has the same total): ? 10 25 | 16 22 28 | 19 34 13. What is the missing number?
  25. 25.Magic square (every row, column and diagonal has the same total): 11 10 ? | 16 12 8 | 9 14 13. What is the missing number?
  26. 26.Magic square (every row, column and diagonal has the same total): ? 22 19 | 28 16 4 | 13 10 25. What is the missing number?
  27. 27.Magic square (every row, column and diagonal has the same total): 12 33 18 | 27 ? 15 | 24 9 30. What is the missing number?
  28. 28.Magic square (every row, column and diagonal has the same total): ? 9 24 | 27 15 3 | 6 21 18. What is the missing number?
  29. 29.Magic square (every row, column and diagonal has the same total): 7 12 ? | 14 10 6 | 9 8 13. What is the missing number?
  30. 30.Magic square (every row, column and diagonal has the same total): 16 9 14 | 11 13 15 | 12 17 ?. What is the missing number?
  31. 31.Magic square (every row, column and diagonal has the same total): 10 31 16 | 25 19 13 | 22 ? 28. What is the missing number?
  32. 32.Magic square (every row, column and diagonal has the same total): 11 21 19 | 25 17 9 | 15 ? 23. What is the missing number?
  33. 33.Magic square (every row, column and diagonal has the same total): 8 15 ? | 13 11 9 | 12 7 14. What is the missing number?
  34. 34.Magic square (every row, column and diagonal has the same total): 19 22 7 | 4 16 28 | 25 10 ?. What is the missing number?
  35. 35.Magic square (every row, column and diagonal has the same total): 11 ? 15 | 16 12 8 | 9 14 13. What is the missing number?
  36. 36.Magic square (every row, column and diagonal has the same total): 22 ? 28 | 25 19 13 | 10 31 16. What is the missing number?
  37. 37.Magic square (every row, column and diagonal has the same total): 22 8 ? | 12 16 20 | 14 24 10. What is the missing number?
  38. 38.Magic square (every row, column and diagonal has the same total): 13 ? 11 | 12 14 16 | 17 10 15. What is the missing number?
  39. 39.Magic square (every row, column and diagonal has the same total): 18 20 10 | ? 16 24 | 22 12 14. What is the missing number?
  40. 40.Magic square (every row, column and diagonal has the same total): 24 14 16 | 10 18 26 | 20 22 ?. What is the missing number?

Answer key

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

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