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Magic Square Puzzles with Answers

Maths tricks trick 12: Magic squares · Set 49 · 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): 20 5 26 | 23 17 11 | 8 ? 14. What is the missing number?
  2. 2.Magic square (every row, column and diagonal has the same total): 19 21 11 | ? 17 25 | 23 13 15. What is the missing number?
  3. 3.Magic square (every row, column and diagonal has the same total): ? 11 10 | 13 9 5 | 8 7 12. What is the missing number?
  4. 4.Magic square (every row, column and diagonal has the same total): 27 6 21 | 12 18 24 | 15 ? 9. What is the missing number?
  5. 5.Magic square (every row, column and diagonal has the same total): 21 11 25 | 23 19 15 | ? 27 17. What is the missing number?
  6. 6.Magic square (every row, column and diagonal has the same total): ? 11 6 | 5 9 13 | 12 7 8. What is the missing number?
  7. 7.Magic square (every row, column and diagonal has the same total): 25 ? 13 | 4 16 28 | 19 22 7. What is the missing number?
  8. 8.Magic square (every row, column and diagonal has the same total): 14 11 26 | 29 17 5 | 8 23 ?. What is the missing number?
  9. 9.Magic square (every row, column and diagonal has the same total): 23 9 19 | 13 ? 21 | 15 25 11. What is the missing number?
  10. 10.Magic square (every row, column and diagonal has the same total): 11 16 ? | 18 14 10 | 13 12 17. What is the missing number?
  11. 11.Magic square (every row, column and diagonal has the same total): 13 15 5 | ? 11 19 | 17 7 9. What is the missing number?
  12. 12.Magic square (every row, column and diagonal has the same total): 13 10 ? | 28 16 4 | 7 22 19. What is the missing number?
  13. 13.Magic square (every row, column and diagonal has the same total): 10 17 12 | 15 13 11 | ? 9 16. What is the missing number?
  14. 14.Magic square (every row, column and diagonal has the same total): 29 8 23 | ? 20 26 | 17 32 11. What is the missing number?
  15. 15.Magic square (every row, column and diagonal has the same total): 18 8 22 | ? 16 12 | 10 24 14. What is the missing number?
  16. 16.Magic square (every row, column and diagonal has the same total): 4 3 8 | 9 5 1 | ? 7 6. What is the missing number?
  17. 17.Magic square (every row, column and diagonal has the same total): 3 ? 7 | 10 6 2 | 5 4 9. What is the missing number?
  18. 18.Magic square (every row, column and diagonal has the same total): 17 32 11 | 14 ? 26 | 29 8 23. What is the missing number?
  19. 19.Magic square (every row, column and diagonal has the same total): 8 13 6 | 7 9 11 | 12 5 ?. What is the missing number?
  20. 20.Magic square (every row, column and diagonal has the same total): 5 4 9 | 10 6 2 | 3 ? 7. What is the missing number?
  21. 21.Magic square (every row, column and diagonal has the same total): 26 5 20 | 11 17 23 | 14 29 ?. What is the missing number?
  22. 22.Magic square (every row, column and diagonal has the same total): 17 12 13 | ? 14 18 | 15 16 11. What is the missing number?
  23. 23.Magic square (every row, column and diagonal has the same total): 15 17 ? | 5 13 21 | 19 9 11. What is the missing number?
  24. 24.Magic square (every row, column and diagonal has the same total): 23 ? 11 | 8 20 32 | 29 14 17. What is the missing number?
  25. 25.Magic square (every row, column and diagonal has the same total): 16 ? 12 | 9 13 17 | 14 15 10. What is the missing number?
  26. 26.Magic square (every row, column and diagonal has the same total): 12 9 ? | 27 15 3 | 6 21 18. What is the missing number?
  27. 27.Magic square (every row, column and diagonal has the same total): 12 5 ? | 7 9 11 | 8 13 6. What is the missing number?
  28. 28.Magic square (every row, column and diagonal has the same total): 29 8 23 | 14 20 26 | 17 32 ?. What is the missing number?
  29. 29.Magic square (every row, column and diagonal has the same total): 8 7 12 | 13 9 ? | 6 11 10. What is the missing number?
  30. 30.Magic square (every row, column and diagonal has the same total): 11 21 ? | 25 17 9 | 15 13 23. What is the missing number?
  31. 31.Magic square (every row, column and diagonal has the same total): 8 9 ? | 3 7 11 | 10 5 6. What is the missing number?
  32. 32.Magic square (every row, column and diagonal has the same total): 5 15 13 | ? 11 3 | 9 7 17. What is the missing number?
  33. 33.Magic square (every row, column and diagonal has the same total): 9 19 17 | 23 15 7 | 13 ? 21. What is the missing number?
  34. 34.Magic square (every row, column and diagonal has the same total): 16 14 24 | 26 18 10 | 12 ? 20. What is the missing number?
  35. 35.Magic square (every row, column and diagonal has the same total): 15 10 11 | 8 12 16 | 13 ? 9. What is the missing number?
  36. 36.Magic square (every row, column and diagonal has the same total): 14 ? 26 | 29 17 5 | 8 23 20. What is the missing number?
  37. 37.Magic square (every row, column and diagonal has the same total): 14 35 20 | 29 ? 17 | 26 11 32. What is the missing number?
  38. 38.Magic square (every row, column and diagonal has the same total): 8 1 ? | 3 5 7 | 4 9 2. What is the missing number?
  39. 39.Magic square (every row, column and diagonal has the same total): 12 14 4 | 2 10 18 | 16 6 ?. What is the missing number?
  40. 40.Magic square (every row, column and diagonal has the same total): 12 13 8 | 7 11 15 | 14 ? 10. What is the missing number?

Answer key

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

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