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Magic Square Puzzles with Answers

Maths tricks trick 12: Magic squares · Set 51 · 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): 16 ? 14 | 11 13 15 | 12 17 10. What is the missing number?
  2. 2.Magic square (every row, column and diagonal has the same total): ? 22 19 | 28 16 4 | 13 10 25. What is the missing number?
  3. 3.Magic square (every row, column and diagonal has the same total): 18 15 30 | ? 21 9 | 12 27 24. What is the missing number?
  4. 4.Magic square (every row, column and diagonal has the same total): 7 12 5 | ? 8 10 | 11 4 9. What is the missing number?
  5. 5.Magic square (every row, column and diagonal has the same total): 12 14 4 | 2 10 18 | 16 6 ?. What is the missing number?
  6. 6.Magic square (every row, column and diagonal has the same total): 14 11 ? | 29 17 5 | 8 23 20. What is the missing number?
  7. 7.Magic square (every row, column and diagonal has the same total): 8 1 6 | 3 5 7 | 4 ? 2. What is the missing number?
  8. 8.Magic square (every row, column and diagonal has the same total): 24 14 16 | ? 18 26 | 20 22 12. What is the missing number?
  9. 9.Magic square (every row, column and diagonal has the same total): 11 6 ? | 4 8 12 | 9 10 5. What is the missing number?
  10. 10.Magic square (every row, column and diagonal has the same total): ? 11 13 | 7 15 23 | 17 19 9. What is the missing number?
  11. 11.Magic square (every row, column and diagonal has the same total): 24 10 20 | ? 18 22 | 16 26 12. What is the missing number?
  12. 12.Magic square (every row, column and diagonal has the same total): 20 10 12 | 6 14 ? | 16 18 8. What is the missing number?
  13. 13.Magic square (every row, column and diagonal has the same total): 15 13 23 | 25 17 9 | ? 21 19. What is the missing number?
  14. 14.Magic square (every row, column and diagonal has the same total): 24 9 12 | ? 15 27 | 18 21 6. What is the missing number?
  15. 15.Magic square (every row, column and diagonal has the same total): 14 7 12 | 9 11 13 | ? 15 8. What is the missing number?
  16. 16.Magic square (every row, column and diagonal has the same total): 18 ? 10 | 4 12 20 | 14 16 6. What is the missing number?
  17. 17.Magic square (every row, column and diagonal has the same total): 29 14 17 | 8 20 ? | 23 26 11. What is the missing number?
  18. 18.Magic square (every row, column and diagonal has the same total): 16 2 12 | 6 10 14 | 8 18 ?. What is the missing number?
  19. 19.Magic square (every row, column and diagonal has the same total): 7 22 19 | 28 16 4 | 13 10 ?. What is the missing number?
  20. 20.Magic square (every row, column and diagonal has the same total): 9 4 11 | ? 8 6 | 5 12 7. What is the missing number?
  21. 21.Magic square (every row, column and diagonal has the same total): ? 28 7 | 10 16 22 | 25 4 19. What is the missing number?
  22. 22.Magic square (every row, column and diagonal has the same total): 8 18 ? | 22 14 6 | 12 10 20. What is the missing number?
  23. 23.Magic square (every row, column and diagonal has the same total): 7 14 9 | 12 10 ? | 11 6 13. What is the missing number?
  24. 24.Magic square (every row, column and diagonal has the same total): ? 10 31 | 28 22 16 | 13 34 19. What is the missing number?
  25. 25.Magic square (every row, column and diagonal has the same total): ? 3 18 | 9 15 21 | 12 27 6. What is the missing number?
  26. 26.Magic square (every row, column and diagonal has the same total): 8 13 6 | 7 9 11 | 12 5 ?. What is the missing number?
  27. 27.Magic square (every row, column and diagonal has the same total): 14 12 22 | ? 16 8 | 10 20 18. What is the missing number?
  28. 28.Magic square (every row, column and diagonal has the same total): 12 27 6 | 9 ? 21 | 24 3 18. What is the missing number?
  29. 29.Magic square (every row, column and diagonal has the same total): 9 ? 5 | 2 6 10 | 7 8 3. What is the missing number?
  30. 30.Magic square (every row, column and diagonal has the same total): 17 3 13 | ? 11 15 | 9 19 5. What is the missing number?
  31. 31.Magic square (every row, column and diagonal has the same total): 24 ? 20 | 14 18 22 | 16 26 12. What is the missing number?
  32. 32.Magic square (every row, column and diagonal has the same total): 15 10 17 | 16 14 ? | 11 18 13. What is the missing number?
  33. 33.Magic square (every row, column and diagonal has the same total): 24 3 18 | 9 15 21 | 12 27 ?. What is the missing number?
  34. 34.Magic square (every row, column and diagonal has the same total): 15 30 9 | 12 18 24 | ? 6 21. What is the missing number?
  35. 35.Magic square (every row, column and diagonal has the same total): 6 7 2 | 1 5 9 | ? 3 4. What is the missing number?
  36. 36.Magic square (every row, column and diagonal has the same total): 8 13 12 | 15 11 7 | ? 9 14. What is the missing number?
  37. 37.Magic square (every row, column and diagonal has the same total): 13 27 ? | 23 19 15 | 21 11 25. What is the missing number?
  38. 38.Magic square (every row, column and diagonal has the same total): 10 5 ? | 3 7 11 | 8 9 4. What is the missing number?
  39. 39.Magic square (every row, column and diagonal has the same total): 10 5 6 | 3 ? 11 | 8 9 4. What is the missing number?
  40. 40.Magic square (every row, column and diagonal has the same total): 15 17 ? | 5 13 21 | 19 9 11. What is the missing number?

Answer key

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

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