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Magic Square Puzzles with Answers

Maths tricks trick 12: Magic squares · Set 43 · 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): 13 14 9 | 8 12 16 | ? 10 11. What is the missing number?
  2. 2.Magic square (every row, column and diagonal has the same total): ? 7 12 | 9 11 13 | 10 15 8. What is the missing number?
  3. 3.Magic square (every row, column and diagonal has the same total): 14 ? 20 | 29 23 17 | 26 11 32. What is the missing number?
  4. 4.Magic square (every row, column and diagonal has the same total): 26 11 14 | 5 ? 29 | 20 23 8. What is the missing number?
  5. 5.Magic square (every row, column and diagonal has the same total): 8 6 16 | 18 10 ? | 4 14 12. What is the missing number?
  6. 6.Magic square (every row, column and diagonal has the same total): 19 16 31 | 34 22 ? | 13 28 25. What is the missing number?
  7. 7.Magic square (every row, column and diagonal has the same total): ? 4 14 | 8 12 16 | 10 20 6. What is the missing number?
  8. 8.Magic square (every row, column and diagonal has the same total): ? 26 16 | 22 18 14 | 20 10 24. What is the missing number?
  9. 9.Magic square (every row, column and diagonal has the same total): 12 ? 8 | 7 11 15 | 14 9 10. What is the missing number?
  10. 10.Magic square (every row, column and diagonal has the same total): ? 28 13 | 10 22 34 | 31 16 19. What is the missing number?
  11. 11.Magic square (every row, column and diagonal has the same total): 8 13 12 | 15 ? 7 | 10 9 14. What is the missing number?
  12. 12.Magic square (every row, column and diagonal has the same total): 15 30 27 | 36 24 12 | 21 18 ?. What is the missing number?
  13. 13.Magic square (every row, column and diagonal has the same total): 9 8 13 | 14 ? 6 | 7 12 11. 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): 17 32 11 | 14 20 26 | ? 8 23. What is the missing number?
  16. 16.Magic square (every row, column and diagonal has the same total): 21 24 9 | 6 18 30 | 27 12 ?. What is the missing number?
  17. 17.Magic square (every row, column and diagonal has the same total): ? 11 14 | 5 17 29 | 20 23 8. What is the missing number?
  18. 18.Magic square (every row, column and diagonal has the same total): 28 13 16 | 7 19 31 | 22 25 ?. What is the missing number?
  19. 19.Magic square (every row, column and diagonal has the same total): 14 35 ? | 29 23 17 | 26 11 32. What is the missing number?
  20. 20.Magic square (every row, column and diagonal has the same total): 9 23 ? | 19 15 11 | 17 7 21. What is the missing number?
  21. 21.Magic square (every row, column and diagonal has the same total): 26 5 ? | 11 17 23 | 14 29 8. What is the missing number?
  22. 22.Magic square (every row, column and diagonal has the same total): 15 30 9 | 12 18 ? | 27 6 21. What is the missing number?
  23. 23.Magic square (every row, column and diagonal has the same total): 5 12 7 | 10 8 6 | ? 4 11. What is the missing number?
  24. 24.Magic square (every row, column and diagonal has the same total): 7 ? 19 | 28 16 4 | 13 10 25. What is the missing number?
  25. 25.Magic square (every row, column and diagonal has the same total): ? 8 3 | 2 6 10 | 9 4 5. What is the missing number?
  26. 26.Magic square (every row, column and diagonal has the same total): 8 7 ? | 13 9 5 | 6 11 10. What is the missing number?
  27. 27.Magic square (every row, column and diagonal has the same total): 22 25 10 | 7 19 ? | 28 13 16. What is the missing number?
  28. 28.Magic square (every row, column and diagonal has the same total): ? 33 12 | 15 21 27 | 30 9 24. What is the missing number?
  29. 29.Magic square (every row, column and diagonal has the same total): ? 6 13 | 12 10 8 | 7 14 9. What is the missing number?
  30. 30.Magic square (every row, column and diagonal has the same total): 8 29 ? | 23 17 11 | 20 5 26. What is the missing number?
  31. 31.Magic square (every row, column and diagonal has the same total): 13 ? 17 | 15 11 7 | 5 19 9. What is the missing number?
  32. 32.Magic square (every row, column and diagonal has the same total): 26 5 20 | 11 17 23 | ? 29 8. What is the missing number?
  33. 33.Magic square (every row, column and diagonal has the same total): 6 7 2 | 1 5 9 | 8 ? 4. What is the missing number?
  34. 34.Magic square (every row, column and diagonal has the same total): 8 9 4 | 3 7 ? | 10 5 6. What is the missing number?
  35. 35.Magic square (every row, column and diagonal has the same total): 16 ? 28 | 31 19 7 | 10 25 22. What is the missing number?
  36. 36.Magic square (every row, column and diagonal has the same total): 6 5 10 | 11 7 3 | 4 ? 8. What is the missing number?
  37. 37.Magic square (every row, column and diagonal has the same total): 16 6 20 | 18 14 10 | 8 22 ?. What is the missing number?
  38. 38.Magic square (every row, column and diagonal has the same total): 13 ? 5 | 3 11 19 | 17 7 9. What is the missing number?
  39. 39.Magic square (every row, column and diagonal has the same total): 9 19 17 | 23 15 7 | ? 11 21. What is the missing number?
  40. 40.Magic square (every row, column and diagonal has the same total): 6 13 8 | ? 9 7 | 10 5 12. What is the missing number?

Answer key

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

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