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Magic Square Puzzles with Answers

Maths tricks trick 12: Magic squares · Set 55 · 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): 8 6 ? | 18 10 2 | 4 14 12. What is the missing number?
  2. 2.Magic square (every row, column and diagonal has the same total): 12 ? 16 | 14 10 6 | 4 18 8. What is the missing number?
  3. 3.Magic square (every row, column and diagonal has the same total): 20 35 14 | ? 23 29 | 32 11 26. What is the missing number?
  4. 4.Magic square (every row, column and diagonal has the same total): 7 22 19 | 28 16 4 | ? 10 25. What is the missing number?
  5. 5.Magic square (every row, column and diagonal has the same total): 16 13 28 | ? 19 7 | 10 25 22. What is the missing number?
  6. 6.Magic square (every row, column and diagonal has the same total): ? 8 18 | 20 12 4 | 6 16 14. What is the missing number?
  7. 7.Magic square (every row, column and diagonal has the same total): 14 24 10 | 12 16 20 | 22 ? 18. What is the missing number?
  8. 8.Magic square (every row, column and diagonal has the same total): 12 ? 8 | 7 11 15 | 14 9 10. What is the missing number?
  9. 9.Magic square (every row, column and diagonal has the same total): 15 36 21 | 30 24 ? | 27 12 33. What is the missing number?
  10. 10.Magic square (every row, column and diagonal has the same total): 6 13 8 | ? 9 7 | 10 5 12. What is the missing number?
  11. 11.Magic square (every row, column and diagonal has the same total): 12 5 ? | 7 9 11 | 8 13 6. What is the missing number?
  12. 12.Magic square (every row, column and diagonal has the same total): 11 21 19 | 25 17 9 | ? 13 23. What is the missing number?
  13. 13.Magic square (every row, column and diagonal has the same total): 12 17 10 | 11 13 15 | ? 9 14. What is the missing number?
  14. 14.Magic square (every row, column and diagonal has the same total): 6 21 18 | ? 15 3 | 12 9 24. What is the missing number?
  15. 15.Magic square (every row, column and diagonal has the same total): 15 10 17 | 16 ? 12 | 11 18 13. What is the missing number?
  16. 16.Magic square (every row, column and diagonal has the same total): 8 22 12 | 18 14 10 | 16 6 ?. What is the missing number?
  17. 17.Magic square (every row, column and diagonal has the same total): 15 10 ? | 16 14 12 | 11 18 13. What is the missing number?
  18. 18.Magic square (every row, column and diagonal has the same total): 10 8 18 | 20 12 4 | ? 16 14. What is the missing number?
  19. 19.Magic square (every row, column and diagonal has the same total): 13 ? 9 | 6 10 14 | 11 12 7. What is the missing number?
  20. 20.Magic square (every row, column and diagonal has the same total): 15 5 19 | 17 13 ? | 7 21 11. What is the missing number?
  21. 21.Magic square (every row, column and diagonal has the same total): 15 25 11 | ? 17 21 | 23 9 19. What is the missing number?
  22. 22.Magic square (every row, column and diagonal has the same total): 17 27 13 | 15 19 23 | 25 11 ?. What is the missing number?
  23. 23.Magic square (every row, column and diagonal has the same total): 7 21 11 | 17 13 9 | ? 5 19. What is the missing number?
  24. 24.Magic square (every row, column and diagonal has the same total): 28 7 ? | 13 19 25 | 16 31 10. What is the missing number?
  25. 25.Magic square (every row, column and diagonal has the same total): 10 3 8 | ? 7 9 | 6 11 4. What is the missing number?
  26. 26.Magic square (every row, column and diagonal has the same total): 8 29 14 | ? 17 11 | 20 5 26. What is the missing number?
  27. 27.Magic square (every row, column and diagonal has the same total): 12 7 ? | 5 9 13 | 10 11 6. What is the missing number?
  28. 28.Magic square (every row, column and diagonal has the same total): 31 10 25 | 16 ? 28 | 19 34 13. What is the missing number?
  29. 29.Magic square (every row, column and diagonal has the same total): 13 28 7 | 10 16 ? | 25 4 19. What is the missing number?
  30. 30.Magic square (every row, column and diagonal has the same total): ? 13 8 | 11 9 7 | 10 5 12. What is the missing number?
  31. 31.Magic square (every row, column and diagonal has the same total): 19 9 ? | 21 17 13 | 11 25 15. What is the missing number?
  32. 32.Magic square (every row, column and diagonal has the same total): 10 25 22 | 31 19 7 | 16 ? 28. What is the missing number?
  33. 33.Magic square (every row, column and diagonal has the same total): 15 10 17 | ? 14 12 | 11 18 13. What is the missing number?
  34. 34.Magic square (every row, column and diagonal has the same total): 14 35 ? | 29 23 17 | 26 11 32. What is the missing number?
  35. 35.Magic square (every row, column and diagonal has the same total): 10 8 18 | 20 12 ? | 6 16 14. What is the missing number?
  36. 36.Magic square (every row, column and diagonal has the same total): 20 17 32 | ? 23 11 | 14 29 26. What is the missing number?
  37. 37.Magic square (every row, column and diagonal has the same total): 5 12 7 | 10 ? 6 | 9 4 11. What is the missing number?
  38. 38.Magic square (every row, column and diagonal has the same total): 10 5 6 | ? 7 11 | 8 9 4. What is the missing number?
  39. 39.Magic square (every row, column and diagonal has the same total): 6 16 14 | 20 12 ? | 10 8 18. What is the missing number?
  40. 40.Magic square (every row, column and diagonal has the same total): 11 12 7 | ? 10 14 | 13 8 9. What is the missing number?

Answer key

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

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