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Magic Square Puzzles with Answers

Maths tricks trick 12: Magic squares · Set 41 · 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): 6 11 ? | 5 7 9 | 10 3 8. What is the missing number?
  2. 2.Magic square (every row, column and diagonal has the same total): ? 6 16 | 18 10 2 | 4 14 12. What is the missing number?
  3. 3.Magic square (every row, column and diagonal has the same total): 31 10 25 | 16 22 28 | 19 34 ?. What is the missing number?
  4. 4.Magic square (every row, column and diagonal has the same total): 24 9 30 | 27 21 15 | 12 33 ?. What is the missing number?
  5. 5.Magic square (every row, column and diagonal has the same total): 22 7 28 | 25 19 13 | 10 31 ?. What is the missing number?
  6. 6.Magic square (every row, column and diagonal has the same total): 18 8 10 | ? 12 20 | 14 16 6. What is the missing number?
  7. 7.Magic square (every row, column and diagonal has the same total): 29 14 17 | 8 ? 32 | 23 26 11. What is the missing number?
  8. 8.Magic square (every row, column and diagonal has the same total): 9 4 5 | 2 6 10 | 7 ? 3. What is the missing number?
  9. 9.Magic square (every row, column and diagonal has the same total): 8 22 12 | 18 14 10 | ? 6 20. What is the missing number?
  10. 10.Magic square (every row, column and diagonal has the same total): 20 22 12 | 10 18 26 | 24 ? 16. What is the missing number?
  11. 11.Magic square (every row, column and diagonal has the same total): 6 ? 8 | 11 9 7 | 10 5 12. What is the missing number?
  12. 12.Magic square (every row, column and diagonal has the same total): 12 ? 10 | 11 13 15 | 16 9 14. What is the missing number?
  13. 13.Magic square (every row, column and diagonal has the same total): 21 36 15 | 18 24 30 | 33 ? 27. What is the missing number?
  14. 14.Magic square (every row, column and diagonal has the same total): 13 15 5 | 3 11 19 | 17 7 ?. What is the missing number?
  15. 15.Magic square (every row, column and diagonal has the same total): 21 11 25 | 23 19 15 | 13 ? 17. What is the missing number?
  16. 16.Magic square (every row, column and diagonal has the same total): 11 16 ? | 10 12 14 | 15 8 13. What is the missing number?
  17. 17.Magic square (every row, column and diagonal has the same total): ? 10 31 | 28 22 16 | 13 34 19. What is the missing number?
  18. 18.Magic square (every row, column and diagonal has the same total): 20 5 26 | ? 17 11 | 8 29 14. What is the missing number?
  19. 19.Magic square (every row, column and diagonal has the same total): 18 15 30 | 33 21 9 | ? 27 24. What is the missing number?
  20. 20.Magic square (every row, column and diagonal has the same total): 19 21 11 | 9 17 ? | 23 13 15. What is the missing number?
  21. 21.Magic square (every row, column and diagonal has the same total): 17 27 13 | 15 19 23 | ? 11 21. What is the missing number?
  22. 22.Magic square (every row, column and diagonal has the same total): ? 8 13 | 14 10 6 | 7 12 11. What is the missing number?
  23. 23.Magic square (every row, column and diagonal has the same total): 30 15 18 | 9 21 ? | 24 27 12. What is the missing number?
  24. 24.Magic square (every row, column and diagonal has the same total): 12 13 8 | 7 ? 15 | 14 9 10. What is the missing number?
  25. 25.Magic square (every row, column and diagonal has the same total): 27 12 15 | ? 18 30 | 21 24 9. What is the missing number?
  26. 26.Magic square (every row, column and diagonal has the same total): 11 16 9 | 10 ? 14 | 15 8 13. What is the missing number?
  27. 27.Magic square (every row, column and diagonal has the same total): 19 4 25 | 22 16 10 | 7 28 ?. What is the missing number?
  28. 28.Magic square (every row, column and diagonal has the same total): 9 19 ? | 7 11 15 | 17 3 13. What is the missing number?
  29. 29.Magic square (every row, column and diagonal has the same total): 8 18 4 | 6 10 14 | 16 2 ?. What is the missing number?
  30. 30.Magic square (every row, column and diagonal has the same total): 19 ? 31 | 34 22 10 | 13 28 25. What is the missing number?
  31. 31.Magic square (every row, column and diagonal has the same total): 18 15 30 | 33 ? 9 | 12 27 24. What is the missing number?
  32. 32.Magic square (every row, column and diagonal has the same total): 4 14 12 | 18 10 2 | 8 ? 16. What is the missing number?
  33. 33.Magic square (every row, column and diagonal has the same total): 15 ? 19 | 17 13 9 | 7 21 11. What is the missing number?
  34. 34.Magic square (every row, column and diagonal has the same total): ? 12 5 | 6 8 10 | 11 4 9. What is the missing number?
  35. 35.Magic square (every row, column and diagonal has the same total): 13 ? 17 | 18 14 10 | 11 16 15. What is the missing number?
  36. 36.Magic square (every row, column and diagonal has the same total): 11 18 13 | 16 14 12 | 15 10 ?. What is the missing number?
  37. 37.Magic square (every row, column and diagonal has the same total): 10 25 22 | 31 19 ? | 16 13 28. What is the missing number?
  38. 38.Magic square (every row, column and diagonal has the same total): 12 22 8 | 10 14 18 | 20 6 ?. What is the missing number?
  39. 39.Magic square (every row, column and diagonal has the same total): 10 9 14 | 15 11 7 | 8 ? 12. What is the missing number?
  40. 40.Magic square (every row, column and diagonal has the same total): ? 2 16 | 14 10 6 | 4 18 8. What is the missing number?

Answer key

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

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