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Magic Square Puzzles with Answers

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

Answer key

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

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