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Magic Square Puzzles with Answers

Maths tricks trick 12: Magic squares · Set 47 · 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): 10 ? 18 | 24 16 8 | 14 12 22. What is the missing number?
  2. 2.Magic square (every row, column and diagonal has the same total): ? 9 24 | 15 21 27 | 18 33 12. What is the missing number?
  3. 3.Magic square (every row, column and diagonal has the same total): 10 5 6 | 3 7 ? | 8 9 4. What is the missing number?
  4. 4.Magic square (every row, column and diagonal has the same total): 22 7 28 | 25 ? 13 | 10 31 16. What is the missing number?
  5. 5.Magic square (every row, column and diagonal has the same total): 10 ? 6 | 5 9 13 | 12 7 8. What is the missing number?
  6. 6.Magic square (every row, column and diagonal has the same total): 15 ? 7 | 5 13 21 | 19 9 11. What is the missing number?
  7. 7.Magic square (every row, column and diagonal has the same total): ? 12 27 | 30 18 6 | 9 24 21. What is the missing number?
  8. 8.Magic square (every row, column and diagonal has the same total): 15 30 9 | 12 18 24 | ? 6 21. What is the missing number?
  9. 9.Magic square (every row, column and diagonal has the same total): 10 5 12 | 11 9 7 | ? 13 8. What is the missing number?
  10. 10.Magic square (every row, column and diagonal has the same total): 8 ? 20 | 29 17 5 | 14 11 26. What is the missing number?
  11. 11.Magic square (every row, column and diagonal has the same total): ? 11 26 | 17 23 29 | 20 35 14. What is the missing number?
  12. 12.Magic square (every row, column and diagonal has the same total): 4 3 ? | 9 5 1 | 2 7 6. What is the missing number?
  13. 13.Magic square (every row, column and diagonal has the same total): 13 23 9 | ? 15 19 | 21 7 17. What is the missing number?
  14. 14.Magic square (every row, column and diagonal has the same total): 6 11 4 | 5 7 9 | 10 3 ?. What is the missing number?
  15. 15.Magic square (every row, column and diagonal has the same total): 27 12 15 | 6 18 ? | 21 24 9. What is the missing number?
  16. 16.Magic square (every row, column and diagonal has the same total): 30 ? 18 | 9 21 33 | 24 27 12. What is the missing number?
  17. 17.Magic square (every row, column and diagonal has the same total): ? 20 10 | 16 12 8 | 14 4 18. What is the missing number?
  18. 18.Magic square (every row, column and diagonal has the same total): 4 9 ? | 3 5 7 | 8 1 6. What is the missing number?
  19. 19.Magic square (every row, column and diagonal has the same total): 13 18 11 | 12 14 16 | ? 10 15. What is the missing number?
  20. 20.Magic square (every row, column and diagonal has the same total): 8 15 10 | 13 11 9 | ? 7 14. What is the missing number?
  21. 21.Magic square (every row, column and diagonal has the same total): 19 22 7 | 4 16 ? | 25 10 13. What is the missing number?
  22. 22.Magic square (every row, column and diagonal has the same total): 32 17 20 | 11 23 35 | 26 ? 14. What is the missing number?
  23. 23.Magic square (every row, column and diagonal has the same total): 13 3 17 | 15 11 7 | 5 ? 9. What is the missing number?
  24. 24.Magic square (every row, column and diagonal has the same total): 7 21 11 | 17 13 9 | 15 ? 19. What is the missing number?
  25. 25.Magic square (every row, column and diagonal has the same total): 19 21 11 | 9 17 25 | ? 13 15. What is the missing number?
  26. 26.Magic square (every row, column and diagonal has the same total): 10 ? 6 | 8 12 16 | 18 4 14. What is the missing number?
  27. 27.Magic square (every row, column and diagonal has the same total): 15 16 ? | 10 14 18 | 17 12 13. What is the missing number?
  28. 28.Magic square (every row, column and diagonal has the same total): 18 4 ? | 8 12 16 | 10 20 6. What is the missing number?
  29. 29.Magic square (every row, column and diagonal has the same total): 3 8 7 | 10 ? 2 | 5 4 9. What is the missing number?
  30. 30.Magic square (every row, column and diagonal has the same total): 15 10 17 | 16 14 12 | 11 ? 13. What is the missing number?
  31. 31.Magic square (every row, column and diagonal has the same total): 25 4 19 | 10 16 22 | 13 ? 7. What is the missing number?
  32. 32.Magic square (every row, column and diagonal has the same total): 27 30 15 | 12 ? 36 | 33 18 21. What is the missing number?
  33. 33.Magic square (every row, column and diagonal has the same total): ? 1 6 | 3 5 7 | 4 9 2. What is the missing number?
  34. 34.Magic square (every row, column and diagonal has the same total): 6 ? 8 | 7 5 3 | 2 9 4. What is the missing number?
  35. 35.Magic square (every row, column and diagonal has the same total): ? 9 16 | 15 13 11 | 10 17 12. What is the missing number?
  36. 36.Magic square (every row, column and diagonal has the same total): ? 17 7 | 5 13 21 | 19 9 11. What is the missing number?
  37. 37.Magic square (every row, column and diagonal has the same total): ? 22 7 | 4 16 28 | 25 10 13. What is the missing number?
  38. 38.Magic square (every row, column and diagonal has the same total): 15 12 ? | 30 18 6 | 9 24 21. What is the missing number?
  39. 39.Magic square (every row, column and diagonal has the same total): 15 10 11 | 8 12 16 | 13 ? 9. What is the missing number?
  40. 40.Magic square (every row, column and diagonal has the same total): 8 1 6 | 3 ? 7 | 4 9 2. What is the missing number?

Answer key

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

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