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Magic Square Puzzles with Answers

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

Answer key

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

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