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Magic Square Puzzles with Answers

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

Answer key

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

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