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Magic Square Puzzles with Answers

Maths tricks trick 12: Magic squares · Set 61 · 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): 18 3 24 | 21 15 9 | 6 ? 12. What is the missing number?
  2. 2.Magic square (every row, column and diagonal has the same total): 6 20 10 | 16 ? 8 | 14 4 18. What is the missing number?
  3. 3.Magic square (every row, column and diagonal has the same total): 15 ? 11 | 10 14 18 | 17 12 13. What is the missing number?
  4. 4.Magic square (every row, column and diagonal has the same total): 18 33 12 | 15 21 27 | 30 9 ?. What is the missing number?
  5. 5.Magic square (every row, column and diagonal has the same total): 25 4 19 | 10 ? 22 | 13 28 7. What is the missing number?
  6. 6.Magic square (every row, column and diagonal has the same total): 11 26 23 | 32 20 8 | ? 14 29. What is the missing number?
  7. 7.Magic square (every row, column and diagonal has the same total): 15 30 ? | 12 18 24 | 27 6 21. What is the missing number?
  8. 8.Magic square (every row, column and diagonal has the same total): 10 11 6 | 5 9 13 | 12 7 ?. What is the missing number?
  9. 9.Magic square (every row, column and diagonal has the same total): ? 20 10 | 16 12 8 | 14 4 18. What is the missing number?
  10. 10.Magic square (every row, column and diagonal has the same total): 6 5 10 | ? 7 3 | 4 9 8. What is the missing number?
  11. 11.Magic square (every row, column and diagonal has the same total): 13 15 ? | 3 11 19 | 17 7 9. What is the missing number?
  12. 12.Magic square (every row, column and diagonal has the same total): ? 18 13 | 16 14 12 | 15 10 17. What is the missing number?
  13. 13.Magic square (every row, column and diagonal has the same total): ? 11 16 | 17 13 9 | 10 15 14. What is the missing number?
  14. 14.Magic square (every row, column and diagonal has the same total): 18 4 14 | ? 12 16 | 10 20 6. What is the missing number?
  15. 15.Magic square (every row, column and diagonal has the same total): 4 ? 8 | 14 10 6 | 12 2 16. What is the missing number?
  16. 16.Magic square (every row, column and diagonal has the same total): 27 6 21 | 12 18 24 | 15 ? 9. What is the missing number?
  17. 17.Magic square (every row, column and diagonal has the same total): 19 21 11 | 9 17 ? | 23 13 15. What is the missing number?
  18. 18.Magic square (every row, column and diagonal has the same total): 16 2 12 | ? 10 14 | 8 18 4. What is the missing number?
  19. 19.Magic square (every row, column and diagonal has the same total): 12 14 4 | 2 10 ? | 16 6 8. What is the missing number?
  20. 20.Magic square (every row, column and diagonal has the same total): 8 18 16 | 22 14 6 | 12 10 ?. What is the missing number?
  21. 21.Magic square (every row, column and diagonal has the same total): ? 10 20 | 14 18 22 | 16 26 12. What is the missing number?
  22. 22.Magic square (every row, column and diagonal has the same total): 22 8 18 | 12 16 20 | ? 24 10. What is the missing number?
  23. 23.Magic square (every row, column and diagonal has the same total): 25 10 13 | 4 ? 28 | 19 22 7. What is the missing number?
  24. 24.Magic square (every row, column and diagonal has the same total): 11 10 15 | 16 12 8 | 9 14 ?. What is the missing number?
  25. 25.Magic square (every row, column and diagonal has the same total): 13 14 9 | 8 ? 16 | 15 10 11. What is the missing number?
  26. 26.Magic square (every row, column and diagonal has the same total): 16 2 12 | 6 10 14 | ? 18 4. What is the missing number?
  27. 27.Magic square (every row, column and diagonal has the same total): 11 18 13 | ? 14 12 | 15 10 17. What is the missing number?
  28. 28.Magic square (every row, column and diagonal has the same total): 14 29 8 | 11 17 23 | 26 5 ?. What is the missing number?
  29. 29.Magic square (every row, column and diagonal has the same total): 12 17 10 | 11 13 15 | 16 9 ?. What is the missing number?
  30. 30.Magic square (every row, column and diagonal has the same total): ? 9 19 | 13 17 21 | 15 25 11. What is the missing number?
  31. 31.Magic square (every row, column and diagonal has the same total): 8 18 4 | 6 10 14 | 16 ? 12. What is the missing number?
  32. 32.Magic square (every row, column and diagonal has the same total): 5 12 7 | 10 8 6 | ? 4 11. What is the missing number?
  33. 33.Magic square (every row, column and diagonal has the same total): 12 ? 16 | 14 10 6 | 4 18 8. What is the missing number?
  34. 34.Magic square (every row, column and diagonal has the same total): 5 15 13 | 19 ? 3 | 9 7 17. What is the missing number?
  35. 35.Magic square (every row, column and diagonal has the same total): ? 5 10 | 7 9 11 | 8 13 6. What is the missing number?
  36. 36.Magic square (every row, column and diagonal has the same total): ? 17 15 | 21 13 5 | 11 9 19. What is the missing number?
  37. 37.Magic square (every row, column and diagonal has the same total): ? 15 10 | 9 13 17 | 16 11 12. What is the missing number?
  38. 38.Magic square (every row, column and diagonal has the same total): 27 12 15 | 6 ? 30 | 21 24 9. What is the missing number?
  39. 39.Magic square (every row, column and diagonal has the same total): 12 2 ? | 14 10 6 | 4 18 8. What is the missing number?
  40. 40.Magic square (every row, column and diagonal has the same total): ? 15 5 | 3 11 19 | 17 7 9. What is the missing number?

Answer key

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

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