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Magic Square Puzzles with Answers

Maths tricks trick 12: Magic squares · Set 58 · 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): 11 16 ? | 10 12 14 | 15 8 13. What is the missing number?
  2. 2.Magic square (every row, column and diagonal has the same total): 17 ? 25 | 27 19 11 | 13 23 21. What is the missing number?
  3. 3.Magic square (every row, column and diagonal has the same total): 26 11 14 | ? 17 29 | 20 23 8. What is the missing number?
  4. 4.Magic square (every row, column and diagonal has the same total): 4 ? 12 | 18 10 2 | 8 6 16. What is the missing number?
  5. 5.Magic square (every row, column and diagonal has the same total): 13 28 7 | 10 ? 22 | 25 4 19. What is the missing number?
  6. 6.Magic square (every row, column and diagonal has the same total): ? 3 8 | 9 5 1 | 2 7 6. What is the missing number?
  7. 7.Magic square (every row, column and diagonal has the same total): 10 11 6 | 5 9 13 | 12 ? 8. What is the missing number?
  8. 8.Magic square (every row, column and diagonal has the same total): 9 14 7 | ? 10 12 | 13 6 11. What is the missing number?
  9. 9.Magic square (every row, column and diagonal has the same total): 10 31 16 | 25 19 13 | ? 7 28. What is the missing number?
  10. 10.Magic square (every row, column and diagonal has the same total): 17 10 15 | ? 14 16 | 13 18 11. What is the missing number?
  11. 11.Magic square (every row, column and diagonal has the same total): 14 15 10 | ? 13 17 | 16 11 12. What is the missing number?
  12. 12.Magic square (every row, column and diagonal has the same total): 21 7 17 | ? 15 19 | 13 23 9. What is the missing number?
  13. 13.Magic square (every row, column and diagonal has the same total): 11 25 ? | 21 17 13 | 19 9 23. What is the missing number?
  14. 14.Magic square (every row, column and diagonal has the same total): 27 30 15 | 12 ? 36 | 33 18 21. What is the missing number?
  15. 15.Magic square (every row, column and diagonal has the same total): 19 ? 7 | 4 16 28 | 25 10 13. What is the missing number?
  16. 16.Magic square (every row, column and diagonal has the same total): 6 7 2 | 1 5 ? | 8 3 4. What is the missing number?
  17. 17.Magic square (every row, column and diagonal has the same total): ? 9 19 | 13 17 21 | 15 25 11. What is the missing number?
  18. 18.Magic square (every row, column and diagonal has the same total): 13 ? 7 | 10 16 22 | 25 4 19. What is the missing number?
  19. 19.Magic square (every row, column and diagonal has the same total): 11 18 13 | ? 14 12 | 15 10 17. What is the missing number?
  20. 20.Magic square (every row, column and diagonal has the same total): 27 6 21 | 12 ? 24 | 15 30 9. What is the missing number?
  21. 21.Magic square (every row, column and diagonal has the same total): 31 16 19 | 10 22 34 | 25 ? 13. What is the missing number?
  22. 22.Magic square (every row, column and diagonal has the same total): ? 35 20 | 29 23 17 | 26 11 32. What is the missing number?
  23. 23.Magic square (every row, column and diagonal has the same total): 16 18 8 | ? 14 22 | 20 10 12. What is the missing number?
  24. 24.Magic square (every row, column and diagonal has the same total): 12 9 24 | ? 15 3 | 6 21 18. What is the missing number?
  25. 25.Magic square (every row, column and diagonal has the same total): 22 8 18 | 12 ? 20 | 14 24 10. What is the missing number?
  26. 26.Magic square (every row, column and diagonal has the same total): 9 10 5 | 4 8 ? | 11 6 7. What is the missing number?
  27. 27.Magic square (every row, column and diagonal has the same total): ? 27 24 | 33 21 9 | 18 15 30. What is the missing number?
  28. 28.Magic square (every row, column and diagonal has the same total): 7 21 11 | 17 13 ? | 15 5 19. What is the missing number?
  29. 29.Magic square (every row, column and diagonal has the same total): 3 10 5 | ? 6 4 | 7 2 9. What is the missing number?
  30. 30.Magic square (every row, column and diagonal has the same total): 15 5 19 | 17 ? 9 | 7 21 11. What is the missing number?
  31. 31.Magic square (every row, column and diagonal has the same total): 8 9 4 | 3 ? 11 | 10 5 6. What is the missing number?
  32. 32.Magic square (every row, column and diagonal has the same total): 19 16 31 | 34 22 10 | 13 28 ?. What is the missing number?
  33. 33.Magic square (every row, column and diagonal has the same total): 14 24 10 | 12 16 20 | 22 8 ?. What is the missing number?
  34. 34.Magic square (every row, column and diagonal has the same total): 15 36 ? | 30 24 18 | 27 12 33. What is the missing number?
  35. 35.Magic square (every row, column and diagonal has the same total): 3 10 5 | 8 6 4 | 7 ? 9. What is the missing number?
  36. 36.Magic square (every row, column and diagonal has the same total): 13 23 21 | 27 ? 11 | 17 15 25. What is the missing number?
  37. 37.Magic square (every row, column and diagonal has the same total): 17 ? 29 | 32 20 8 | 11 26 23. What is the missing number?
  38. 38.Magic square (every row, column and diagonal has the same total): 20 35 14 | ? 23 29 | 32 11 26. What is the missing number?
  39. 39.Magic square (every row, column and diagonal has the same total): 10 17 12 | 15 ? 11 | 14 9 16. What is the missing number?
  40. 40.Magic square (every row, column and diagonal has the same total): 12 7 ? | 5 9 13 | 10 11 6. What is the missing number?

Answer key

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

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