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Magic Square Puzzles with Answers

Maths tricks trick 12: Magic squares · Set 48 · 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): 15 8 13 | 10 12 14 | 11 16 ?. What is the missing number?
  2. 2.Magic square (every row, column and diagonal has the same total): 6 11 4 | ? 7 9 | 10 3 8. What is the missing number?
  3. 3.Magic square (every row, column and diagonal has the same total): 5 10 9 | ? 8 4 | 7 6 11. What is the missing number?
  4. 4.Magic square (every row, column and diagonal has the same total): 8 1 6 | ? 5 7 | 4 9 2. What is the missing number?
  5. 5.Magic square (every row, column and diagonal has the same total): 19 9 ? | 21 17 13 | 11 25 15. What is the missing number?
  6. 6.Magic square (every row, column and diagonal has the same total): 10 15 8 | ? 11 13 | 14 7 12. What is the missing number?
  7. 7.Magic square (every row, column and diagonal has the same total): ? 3 10 | 9 7 5 | 4 11 6. What is the missing number?
  8. 8.Magic square (every row, column and diagonal has the same total): 19 9 11 | 5 13 ? | 15 17 7. What is the missing number?
  9. 9.Magic square (every row, column and diagonal has the same total): ? 8 15 | 14 12 10 | 9 16 11. What is the missing number?
  10. 10.Magic square (every row, column and diagonal has the same total): 9 19 5 | 7 11 ? | 17 3 13. What is the missing number?
  11. 11.Magic square (every row, column and diagonal has the same total): 7 ? 13 | 22 16 10 | 19 4 25. What is the missing number?
  12. 12.Magic square (every row, column and diagonal has the same total): 27 12 15 | 6 ? 30 | 21 24 9. What is the missing number?
  13. 13.Magic square (every row, column and diagonal has the same total): 4 11 ? | 9 7 5 | 8 3 10. What is the missing number?
  14. 14.Magic square (every row, column and diagonal has the same total): ? 30 15 | 24 18 12 | 21 6 27. What is the missing number?
  15. 15.Magic square (every row, column and diagonal has the same total): 8 7 12 | 13 ? 5 | 6 11 10. What is the missing number?
  16. 16.Magic square (every row, column and diagonal has the same total): 32 11 26 | ? 23 29 | 20 35 14. What is the missing number?
  17. 17.Magic square (every row, column and diagonal has the same total): 6 ? 10 | 11 7 3 | 4 9 8. What is the missing number?
  18. 18.Magic square (every row, column and diagonal has the same total): 17 10 15 | 12 14 16 | ? 18 11. What is the missing number?
  19. 19.Magic square (every row, column and diagonal has the same total): 21 6 27 | 24 18 12 | ? 30 15. What is the missing number?
  20. 20.Magic square (every row, column and diagonal has the same total): 10 25 ? | 31 19 7 | 16 13 28. What is the missing number?
  21. 21.Magic square (every row, column and diagonal has the same total): ? 25 11 | 13 17 21 | 23 9 19. What is the missing number?
  22. 22.Magic square (every row, column and diagonal has the same total): 17 ? 25 | 27 19 11 | 13 23 21. What is the missing number?
  23. 23.Magic square (every row, column and diagonal has the same total): 12 ? 6 | 9 15 21 | 24 3 18. What is the missing number?
  24. 24.Magic square (every row, column and diagonal has the same total): ? 11 10 | 13 9 5 | 8 7 12. What is the missing number?
  25. 25.Magic square (every row, column and diagonal has the same total): ? 14 9 | 8 12 16 | 15 10 11. What is the missing number?
  26. 26.Magic square (every row, column and diagonal has the same total): 6 11 10 | 13 9 5 | ? 7 12. What is the missing number?
  27. 27.Magic square (every row, column and diagonal has the same total): 6 5 ? | 11 7 3 | 4 9 8. What is the missing number?
  28. 28.Magic square (every row, column and diagonal has the same total): 6 27 12 | 21 ? 9 | 18 3 24. What is the missing number?
  29. 29.Magic square (every row, column and diagonal has the same total): 13 18 11 | 12 14 16 | 17 ? 15. What is the missing number?
  30. 30.Magic square (every row, column and diagonal has the same total): 19 ? 13 | 16 22 28 | 31 10 25. What is the missing number?
  31. 31.Magic square (every row, column and diagonal has the same total): 18 33 12 | 15 21 27 | 30 ? 24. What is the missing number?
  32. 32.Magic square (every row, column and diagonal has the same total): 20 ? 32 | 35 23 11 | 14 29 26. What is the missing number?
  33. 33.Magic square (every row, column and diagonal has the same total): 13 6 11 | 8 10 12 | ? 14 7. What is the missing number?
  34. 34.Magic square (every row, column and diagonal has the same total): 24 3 ? | 9 15 21 | 12 27 6. What is the missing number?
  35. 35.Magic square (every row, column and diagonal has the same total): 9 30 15 | 24 18 ? | 21 6 27. What is the missing number?
  36. 36.Magic square (every row, column and diagonal has the same total): 17 19 9 | 7 15 23 | ? 11 13. What is the missing number?
  37. 37.Magic square (every row, column and diagonal has the same total): 24 ? 18 | 9 15 21 | 12 27 6. What is the missing number?
  38. 38.Magic square (every row, column and diagonal has the same total): 10 5 ? | 3 7 11 | 8 9 4. What is the missing number?
  39. 39.Magic square (every row, column and diagonal has the same total): 11 ? 17 | 26 20 14 | 23 8 29. What is the missing number?
  40. 40.Magic square (every row, column and diagonal has the same total): 9 ? 5 | 2 6 10 | 7 8 3. What is the missing number?

Answer key

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

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