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Magic Square Puzzles with Answers

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

Answer key

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

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