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Magic Square Puzzles with Answers

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

Answer key

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

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