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Magic Square Puzzles with Answers

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

Answer key

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

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