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Magic Square Puzzles with Answers

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

Answer key

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

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