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Magic Square Puzzles with Answers

Maths tricks trick 12: Magic squares · Set 46 · 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): 9 ? 7 | 8 10 12 | 13 6 11. What is the missing number?
  2. 2.Magic square (every row, column and diagonal has the same total): 14 ? 6 | 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 7 17 | 19 11 3 | ? 15 13. What is the missing number?
  4. 4.Magic square (every row, column and diagonal has the same total): 10 ? 22 | 31 19 7 | 16 13 28. What is the missing number?
  5. 5.Magic square (every row, column and diagonal has the same total): 13 8 ? | 6 10 14 | 11 12 7. What is the missing number?
  6. 6.Magic square (every row, column and diagonal has the same total): 12 ? 4 | 2 10 18 | 16 6 8. What is the missing number?
  7. 7.Magic square (every row, column and diagonal has the same total): 5 10 3 | 4 6 ? | 9 2 7. What is the missing number?
  8. 8.Magic square (every row, column and diagonal has the same total): 10 25 22 | 31 19 7 | ? 13 28. What is the missing number?
  9. 9.Magic square (every row, column and diagonal has the same total): 24 3 18 | ? 15 21 | 12 27 6. What is the missing number?
  10. 10.Magic square (every row, column and diagonal has the same total): 18 8 22 | 20 ? 12 | 10 24 14. What is the missing number?
  11. 11.Magic square (every row, column and diagonal has the same total): 4 11 6 | 9 7 ? | 8 3 10. What is the missing number?
  12. 12.Magic square (every row, column and diagonal has the same total): 14 9 16 | 15 ? 11 | 10 17 12. What is the missing number?
  13. 13.Magic square (every row, column and diagonal has the same total): ? 3 13 | 7 11 15 | 9 19 5. What is the missing number?
  14. 14.Magic square (every row, column and diagonal has the same total): 21 7 17 | ? 15 19 | 13 23 9. What is the missing number?
  15. 15.Magic square (every row, column and diagonal has the same total): 8 15 10 | 13 11 9 | 12 ? 14. What is the missing number?
  16. 16.Magic square (every row, column and diagonal has the same total): ? 6 16 | 10 14 18 | 12 22 8. What is the missing number?
  17. 17.Magic square (every row, column and diagonal has the same total): 11 25 ? | 21 17 13 | 19 9 23. What is the missing number?
  18. 18.Magic square (every row, column and diagonal has the same total): ? 13 8 | 11 9 7 | 10 5 12. What is the missing number?
  19. 19.Magic square (every row, column and diagonal has the same total): 4 11 6 | 9 7 5 | ? 3 10. What is the missing number?
  20. 20.Magic square (every row, column and diagonal has the same total): 19 4 25 | 22 16 10 | ? 28 13. What is the missing number?
  21. 21.Magic square (every row, column and diagonal has the same total): 3 10 5 | 8 6 4 | 7 ? 9. What is the missing number?
  22. 22.Magic square (every row, column and diagonal has the same total): 17 3 13 | ? 11 15 | 9 19 5. What is the missing number?
  23. 23.Magic square (every row, column and diagonal has the same total): 6 16 14 | 20 ? 4 | 10 8 18. What is the missing number?
  24. 24.Magic square (every row, column and diagonal has the same total): ? 7 14 | 13 11 9 | 8 15 10. What is the missing number?
  25. 25.Magic square (every row, column and diagonal has the same total): 5 19 ? | 15 11 7 | 13 3 17. What is the missing number?
  26. 26.Magic square (every row, column and diagonal has the same total): 15 30 9 | 12 ? 24 | 27 6 21. What is the missing number?
  27. 27.Magic square (every row, column and diagonal has the same total): ? 9 19 | 13 17 21 | 15 25 11. What is the missing number?
  28. 28.Magic square (every row, column and diagonal has the same total): ? 5 10 | 11 7 3 | 4 9 8. What is the missing number?
  29. 29.Magic square (every row, column and diagonal has the same total): 8 15 10 | 13 11 9 | ? 7 14. What is the missing number?
  30. 30.Magic square (every row, column and diagonal has the same total): 7 17 15 | 21 13 5 | 11 ? 19. What is the missing number?
  31. 31.Magic square (every row, column and diagonal has the same total): 2 7 6 | ? 5 1 | 4 3 8. What is the missing number?
  32. 32.Magic square (every row, column and diagonal has the same total): 15 30 27 | 36 24 ? | 21 18 33. What is the missing number?
  33. 33.Magic square (every row, column and diagonal has the same total): 16 18 8 | ? 14 22 | 20 10 12. What is the missing number?
  34. 34.Magic square (every row, column and diagonal has the same total): 8 18 4 | 6 10 14 | 16 ? 12. What is the missing number?
  35. 35.Magic square (every row, column and diagonal has the same total): 9 2 7 | 4 ? 8 | 5 10 3. What is the missing number?
  36. 36.Magic square (every row, column and diagonal has the same total): 9 30 15 | 24 18 12 | 21 ? 27. What is the missing number?
  37. 37.Magic square (every row, column and diagonal has the same total): 13 ? 11 | 12 14 16 | 17 10 15. What is the missing number?
  38. 38.Magic square (every row, column and diagonal has the same total): 8 6 16 | 18 10 2 | 4 ? 12. What is the missing number?
  39. 39.Magic square (every row, column and diagonal has the same total): 15 30 9 | 12 18 24 | 27 6 ?. What is the missing number?
  40. 40.Magic square (every row, column and diagonal has the same total): 19 9 23 | 21 ? 13 | 11 25 15. What is the missing number?

Answer key

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

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