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Magic Square Puzzles with Answers

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

Answer key

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

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