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Magic Square Puzzles with Answers

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

Answer key

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

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