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Magic Square Puzzles with Answers

Maths tricks trick 12: Magic squares · Set 57 · 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): 29 14 17 | 8 20 ? | 23 26 11. What is the missing number?
  2. 2.Magic square (every row, column and diagonal has the same total): 11 21 7 | 9 13 ? | 19 5 15. What is the missing number?
  3. 3.Magic square (every row, column and diagonal has the same total): 12 27 24 | 33 21 ? | 18 15 30. What is the missing number?
  4. 4.Magic square (every row, column and diagonal has the same total): ? 11 26 | 17 23 29 | 20 35 14. What is the missing number?
  5. 5.Magic square (every row, column and diagonal has the same total): 4 9 ? | 11 7 3 | 6 5 10. What is the missing number?
  6. 6.Magic square (every row, column and diagonal has the same total): 7 ? 9 | 8 6 4 | 3 10 5. What is the missing number?
  7. 7.Magic square (every row, column and diagonal has the same total): 21 23 ? | 11 19 27 | 25 15 17. What is the missing number?
  8. 8.Magic square (every row, column and diagonal has the same total): 7 14 9 | 12 ? 8 | 11 6 13. What is the missing number?
  9. 9.Magic square (every row, column and diagonal has the same total): 19 34 13 | 16 22 28 | 31 ? 25. What is the missing number?
  10. 10.Magic square (every row, column and diagonal has the same total): 10 17 12 | ? 13 11 | 14 9 16. What is the missing number?
  11. 11.Magic square (every row, column and diagonal has the same total): 4 3 8 | 9 5 1 | 2 7 ?. What is the missing number?
  12. 12.Magic square (every row, column and diagonal has the same total): 8 7 12 | 13 9 5 | 6 11 ?. What is the missing number?
  13. 13.Magic square (every row, column and diagonal has the same total): 7 28 ? | 22 16 10 | 19 4 25. What is the missing number?
  14. 14.Magic square (every row, column and diagonal has the same total): 15 16 11 | 10 14 18 | 17 ? 13. What is the missing number?
  15. 15.Magic square (every row, column and diagonal has the same total): 17 14 29 | 32 20 8 | ? 26 23. What is the missing number?
  16. 16.Magic square (every row, column and diagonal has the same total): 25 15 17 | 11 ? 27 | 21 23 13. What is the missing number?
  17. 17.Magic square (every row, column and diagonal has the same total): 9 19 5 | 7 ? 15 | 17 3 13. What is the missing number?
  18. 18.Magic square (every row, column and diagonal has the same total): 13 18 11 | 12 14 ? | 17 10 15. What is the missing number?
  19. 19.Magic square (every row, column and diagonal has the same total): 15 16 ? | 10 14 18 | 17 12 13. What is the missing number?
  20. 20.Magic square (every row, column and diagonal has the same total): 14 9 16 | 15 13 11 | 10 ? 12. What is the missing number?
  21. 21.Magic square (every row, column and diagonal has the same total): 14 15 10 | 9 13 17 | ? 11 12. What is the missing number?
  22. 22.Magic square (every row, column and diagonal has the same total): 6 11 10 | 13 9 5 | 8 ? 12. What is the missing number?
  23. 23.Magic square (every row, column and diagonal has the same total): ? 25 11 | 13 17 21 | 23 9 19. What is the missing number?
  24. 24.Magic square (every row, column and diagonal has the same total): 19 ? 11 | 5 13 21 | 15 17 7. What is the missing number?
  25. 25.Magic square (every row, column and diagonal has the same total): 18 21 ? | 3 15 27 | 24 9 12. What is the missing number?
  26. 26.Magic square (every row, column and diagonal has the same total): 26 11 32 | ? 23 17 | 14 35 20. What is the missing number?
  27. 27.Magic square (every row, column and diagonal has the same total): ? 5 10 | 7 9 11 | 8 13 6. What is the missing number?
  28. 28.Magic square (every row, column and diagonal has the same total): 10 5 12 | 11 9 ? | 6 13 8. What is the missing number?
  29. 29.Magic square (every row, column and diagonal has the same total): 9 4 11 | 10 8 6 | ? 12 7. What is the missing number?
  30. 30.Magic square (every row, column and diagonal has the same total): 6 ? 14 | 20 12 4 | 10 8 18. What is the missing number?
  31. 31.Magic square (every row, column and diagonal has the same total): 10 3 8 | 5 7 9 | 6 11 ?. What is the missing number?
  32. 32.Magic square (every row, column and diagonal has the same total): 10 5 ? | 11 9 7 | 6 13 8. What is the missing number?
  33. 33.Magic square (every row, column and diagonal has the same total): 13 8 15 | 14 12 10 | 9 ? 11. What is the missing number?
  34. 34.Magic square (every row, column and diagonal has the same total): 21 23 13 | 11 19 ? | 25 15 17. What is the missing number?
  35. 35.Magic square (every row, column and diagonal has the same total): 21 36 15 | ? 24 30 | 33 12 27. What is the missing number?
  36. 36.Magic square (every row, column and diagonal has the same total): 3 8 7 | 10 6 2 | ? 4 9. What is the missing number?
  37. 37.Magic square (every row, column and diagonal has the same total): 9 4 5 | ? 6 10 | 7 8 3. What is the missing number?
  38. 38.Magic square (every row, column and diagonal has the same total): 8 13 6 | ? 9 11 | 12 5 10. What is the missing number?
  39. 39.Magic square (every row, column and diagonal has the same total): 22 25 10 | 7 19 31 | ? 13 16. What is the missing number?
  40. 40.Magic square (every row, column and diagonal has the same total): 6 20 10 | 16 12 8 | 14 ? 18. What is the missing number?

Answer key

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

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