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Magic Square Puzzles with Answers

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

Answer key

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

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