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Magic Square Puzzles with Answers

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

Answer key

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

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