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Magic Square Puzzles with Answers

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

Answer key

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

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