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Magic Square Puzzles with Answers

Maths tricks trick 12: Magic squares · Set 53 · 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 26 | 17 23 29 | 20 35 14. What is the missing number?
  2. 2.Magic square (every row, column and diagonal has the same total): ? 9 10 | 7 11 15 | 12 13 8. What is the missing number?
  3. 3.Magic square (every row, column and diagonal has the same total): 12 10 20 | 22 14 6 | 8 ? 16. What is the missing number?
  4. 4.Magic square (every row, column and diagonal has the same total): ? 8 18 | 20 12 4 | 6 16 14. What is the missing number?
  5. 5.Magic square (every row, column and diagonal has the same total): 13 8 9 | 6 10 14 | 11 12 ?. What is the missing number?
  6. 6.Magic square (every row, column and diagonal has the same total): 8 9 4 | 3 7 11 | 10 ? 6. What is the missing number?
  7. 7.Magic square (every row, column and diagonal has the same total): 25 ? 19 | 10 16 22 | 13 28 7. What is the missing number?
  8. 8.Magic square (every row, column and diagonal has the same total): 11 9 19 | 21 13 5 | 7 ? 15. What is the missing number?
  9. 9.Magic square (every row, column and diagonal has the same total): 13 3 17 | 15 ? 7 | 5 19 9. What is the missing number?
  10. 10.Magic square (every row, column and diagonal has the same total): 8 6 16 | 18 10 2 | ? 14 12. What is the missing number?
  11. 11.Magic square (every row, column and diagonal has the same total): 29 8 23 | 14 ? 26 | 17 32 11. What is the missing number?
  12. 12.Magic square (every row, column and diagonal has the same total): 8 1 6 | 3 ? 7 | 4 9 2. What is the missing number?
  13. 13.Magic square (every row, column and diagonal has the same total): 10 5 12 | 11 9 7 | 6 ? 8. What is the missing number?
  14. 14.Magic square (every row, column and diagonal has the same total): 4 ? 8 | 14 10 6 | 12 2 16. What is the missing number?
  15. 15.Magic square (every row, column and diagonal has the same total): 15 16 11 | ? 14 18 | 17 12 13. What is the missing number?
  16. 16.Magic square (every row, column and diagonal has the same total): 8 18 16 | 22 14 6 | 12 ? 20. What is the missing number?
  17. 17.Magic square (every row, column and diagonal has the same total): 14 12 22 | 24 16 8 | ? 20 18. What is the missing number?
  18. 18.Magic square (every row, column and diagonal has the same total): 16 13 28 | 31 19 7 | ? 25 22. What is the missing number?
  19. 19.Magic square (every row, column and diagonal has the same total): 9 30 15 | 24 18 12 | 21 6 ?. What is the missing number?
  20. 20.Magic square (every row, column and diagonal has the same total): 15 25 ? | 13 17 21 | 23 9 19. What is the missing number?
  21. 21.Magic square (every row, column and diagonal has the same total): 9 14 7 | 8 10 12 | 13 ? 11. What is the missing number?
  22. 22.Magic square (every row, column and diagonal has the same total): 25 11 21 | 15 19 23 | 17 27 ?. What is the missing number?
  23. 23.Magic square (every row, column and diagonal has the same total): 19 22 ? | 4 16 28 | 25 10 13. What is the missing number?
  24. 24.Magic square (every row, column and diagonal has the same total): 9 10 5 | 4 ? 12 | 11 6 7. What is the missing number?
  25. 25.Magic square (every row, column and diagonal has the same total): 12 33 18 | ? 21 15 | 24 9 30. What is the missing number?
  26. 26.Magic square (every row, column and diagonal has the same total): 16 ? 20 | 18 14 10 | 8 22 12. What is the missing number?
  27. 27.Magic square (every row, column and diagonal has the same total): 16 6 20 | 18 ? 10 | 8 22 12. What is the missing number?
  28. 28.Magic square (every row, column and diagonal has the same total): ? 2 16 | 14 10 6 | 4 18 8. What is the missing number?
  29. 29.Magic square (every row, column and diagonal has the same total): 8 ? 10 | 9 7 5 | 4 11 6. What is the missing number?
  30. 30.Magic square (every row, column and diagonal has the same total): 29 ? 17 | 8 20 32 | 23 26 11. What is the missing number?
  31. 31.Magic square (every row, column and diagonal has the same total): 17 3 13 | 7 11 15 | 9 19 ?. What is the missing number?
  32. 32.Magic square (every row, column and diagonal has the same total): 10 5 6 | 3 7 11 | 8 ? 4. What is the missing number?
  33. 33.Magic square (every row, column and diagonal has the same total): 13 3 ? | 15 11 7 | 5 19 9. What is the missing number?
  34. 34.Magic square (every row, column and diagonal has the same total): 24 27 12 | 9 21 33 | ? 15 18. What is the missing number?
  35. 35.Magic square (every row, column and diagonal has the same total): 2 7 6 | 9 5 1 | 4 3 ?. What is the missing number?
  36. 36.Magic square (every row, column and diagonal has the same total): 13 8 15 | 14 12 10 | 9 16 ?. What is the missing number?
  37. 37.Magic square (every row, column and diagonal has the same total): 10 ? 16 | 25 19 13 | 22 7 28. What is the missing number?
  38. 38.Magic square (every row, column and diagonal has the same total): 11 16 9 | 10 12 14 | ? 8 13. What is the missing number?
  39. 39.Magic square (every row, column and diagonal has the same total): 10 17 12 | 15 13 11 | 14 ? 16. What is the missing number?
  40. 40.Magic square (every row, column and diagonal has the same total): 6 13 8 | 11 9 7 | ? 5 12. What is the missing number?

Answer key

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

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