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Magic Square Puzzles with Answers

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

Answer key

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

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